%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC110-1 : 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 : n008.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 08:58:05 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.94s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC110-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:15:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.94 % SZS status Unsatisfiable % 0.37/0.94 % SZS output start Proof % 0.37/0.96 ( % 0.37/0.96 (declare-sort $$unsorted 0) % 0.37/0.96 (declare-const tptp.sk5 $$unsorted) % 0.37/0.96 (declare-const tptp.sk4 $$unsorted) % 0.37/0.96 (declare-const tptp.sk2 $$unsorted) % 0.37/0.96 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.nil $$unsorted) % 0.37/0.96 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.sk1 $$unsorted) % 0.37/0.96 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skac2 $$unsorted) % 0.37/0.96 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.sk3 $$unsorted) % 0.37/0.96 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skac3 $$unsorted) % 0.37/0.96 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.96 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.96 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.96 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.96 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.96 (define @t4 () (@list @t2)) % 0.37/0.96 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.96 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.96 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.96 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.96 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.96 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.96 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.96 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.96 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.96 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.96 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.96 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.96 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.96 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.96 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.96 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.96 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.96 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.96 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.96 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.96 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.96 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.96 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.96 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.96 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.96 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.96 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.96 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.96 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.96 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.96 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.96 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.96 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.96 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.96 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.96 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.96 (define @t41 () (@list @t2 @t40)) % 0.37/0.96 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.96 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.96 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.96 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.96 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.96 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.96 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.96 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.96 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.96 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.37/0.96 (define @t52 () (or @t47 (= @t51 @t2))) % 0.37/0.96 (define @t53 () (forall @t4 @t52)) % 0.37/0.96 (define @t54 () (tptp.app tptp.nil @t2)) % 0.37/0.96 (define @t55 () (or @t47 (= @t54 @t2))) % 0.37/0.96 (define @t56 () (forall @t4 @t55)) % 0.37/0.96 (define @t57 () (= tptp.nil @t2)) % 0.37/0.96 (define @t58 () (tptp.tl @t2)) % 0.37/0.96 (define @t59 () (tptp.hd @t2)) % 0.37/0.96 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.96 (define @t61 () (not @t57)) % 0.37/0.96 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.96 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.96 (define @t64 () (tptp.app @t40 @t2)) % 0.37/0.96 (define @t65 () (not (tptp.ssList @t40))) % 0.37/0.96 (define @t66 () (tptp.cons @t2 @t40)) % 0.37/0.96 (define @t67 () (tptp.cyclefreeP @t2)) % 0.37/0.96 (define @t68 () (tptp.equalelemsP @t2)) % 0.37/0.96 (define @t69 () (tptp.strictorderedP @t2)) % 0.37/0.96 (define @t70 () (tptp.totalorderedP @t2)) % 0.37/0.96 (define @t71 () (tptp.strictorderP @t2)) % 0.37/0.96 (define @t72 () (tptp.totalorderP @t2)) % 0.37/0.96 (define @t73 () (= @t40 @t2)) % 0.37/0.96 (define @t74 () (tptp.neq @t40 @t2)) % 0.37/0.96 (define @t75 () (or @t47 @t65 @t74 @t73)) % 0.37/0.96 (define @t76 () (forall @t41 @t75)) % 0.37/0.96 (define @t77 () (not @t49)) % 0.37/0.96 (define @t78 () (tptp.leq @t2 @t40)) % 0.37/0.96 (define @t79 () (tptp.lt @t2 @t40)) % 0.37/0.96 (define @t80 () (not @t79)) % 0.37/0.96 (define @t81 () (tptp.lt @t40 @t2)) % 0.37/0.96 (define @t82 () (not (tptp.gt @t2 @t40))) % 0.37/0.96 (define @t83 () (tptp.gt @t40 @t2)) % 0.37/0.96 (define @t84 () (tptp.leq @t40 @t2)) % 0.37/0.96 (define @t85 () (not (tptp.geq @t2 @t40))) % 0.37/0.96 (define @t86 () (tptp.geq @t40 @t2)) % 0.37/0.96 (define @t87 () (not @t78)) % 0.37/0.96 (define @t88 () (= @t2 @t40)) % 0.37/0.96 (define @t89 () (not @t88)) % 0.37/0.96 (define @t90 () (tptp.cons @t40 @t2)) % 0.37/0.96 (define @t91 () (not (tptp.neq @t2 @t40))) % 0.37/0.96 (define @t92 () (or @t89 @t91 @t65 @t47)) % 0.37/0.96 (define @t93 () (forall @t41 @t92)) % 0.37/0.96 (define @t94 () (tptp.app @t2 @t40)) % 0.37/0.96 (define @t95 () (= @t94 tptp.nil)) % 0.37/0.96 (define @t96 () (not @t95)) % 0.37/0.96 (define @t97 () (or @t96 @t65 @t47 @t57)) % 0.37/0.96 (define @t98 () (forall @t41 @t97)) % 0.37/0.96 (define @t99 () (= tptp.nil @t40)) % 0.37/0.96 (define @t100 () (or @t96 @t65 @t47 @t99)) % 0.37/0.96 (define @t101 () (forall @t41 @t100)) % 0.37/0.96 (define @t102 () (tptp.hd @t40)) % 0.37/0.96 (define @t103 () (tptp.strictorderedP @t40)) % 0.37/0.96 (define @t104 () (tptp.strictorderedP @t66)) % 0.37/0.96 (define @t105 () (not @t104)) % 0.37/0.96 (define @t106 () (tptp.totalorderedP @t40)) % 0.37/0.96 (define @t107 () (tptp.totalorderedP @t66)) % 0.37/0.96 (define @t108 () (not @t107)) % 0.37/0.96 (define @t109 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.96 (define @t110 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.96 (define @t111 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.96 (define @t112 () (not @t84)) % 0.37/0.96 (define @t113 () (tptp.tl @t40)) % 0.37/0.96 (define @t114 () (tptp.lt @t2 @t102)) % 0.37/0.96 (define @t115 () (tptp.leq @t2 @t102)) % 0.37/0.96 (define @t116 () (@var "W" $$unsorted)) % 0.37/0.96 (define @t117 () (tptp.app @t116 @t2)) % 0.37/0.96 (define @t118 () (not (tptp.ssList @t116))) % 0.37/0.96 (define @t119 () (@list @t2 @t40 @t116)) % 0.37/0.96 (define @t120 () (tptp.app @t2 @t116)) % 0.37/0.96 (define @t121 () (tptp.cons @t40 @t116)) % 0.37/0.96 (define @t122 () (tptp.cons @t116 @t2)) % 0.37/0.96 (define @t123 () (not (tptp.ssItem @t116))) % 0.37/0.96 (define @t124 () (not (tptp.memberP @t2 @t40))) % 0.37/0.96 (define @t125 () (not (= @t94 @t116))) % 0.37/0.96 (define @t126 () (tptp.lt @t2 @t116)) % 0.37/0.96 (define @t127 () (not (tptp.lt @t40 @t116))) % 0.37/0.96 (define @t128 () (tptp.app @t116 @t40)) % 0.37/0.96 (define @t129 () (= @t40 @t116)) % 0.37/0.96 (define @t130 () (= @t2 @t116)) % 0.37/0.96 (define @t131 () (tptp.memberP @t40 @t116)) % 0.37/0.96 (define @t132 () (@var "X" $$unsorted)) % 0.37/0.96 (define @t133 () (not (tptp.ssList @t132))) % 0.37/0.96 (define @t134 () (tptp.cons @t116 @t132)) % 0.37/0.96 (define @t135 () (not (= @t66 @t134))) % 0.37/0.96 (define @t136 () (@list @t2 @t40 @t116 @t132)) % 0.37/0.96 (define @t137 () (tptp.segmentP @t132 @t40)) % 0.37/0.96 (define @t138 () (tptp.app @t94 @t116)) % 0.37/0.96 (define @t139 () (not (= @t138 @t132))) % 0.37/0.96 (define @t140 () (or @t139 @t118 @t47 @t65 @t133 @t137)) % 0.37/0.96 (define @t141 () (forall @t136 @t140)) % 0.37/0.96 (define @t142 () (not (tptp.frontsegP @t66 @t134))) % 0.37/0.96 (define @t143 () (tptp.app @t2 @t121)) % 0.37/0.96 (define @t144 () (not (tptp.ssItem @t132))) % 0.37/0.96 (define @t145 () (@var "Y" $$unsorted)) % 0.37/0.96 (define @t146 () (not (tptp.ssList @t145))) % 0.37/0.96 (define @t147 () (@list @t2 @t40 @t116 @t132 @t145)) % 0.37/0.96 (define @t148 () (tptp.lt @t40 @t132)) % 0.37/0.96 (define @t149 () (@var "Z" $$unsorted)) % 0.37/0.96 (define @t150 () (not (tptp.ssList @t149))) % 0.37/0.96 (define @t151 () (not (= (tptp.app @t143 (tptp.cons @t132 @t145)) @t149))) % 0.37/0.96 (define @t152 () (@list @t2 @t40 @t116 @t132 @t145 @t149)) % 0.37/0.96 (define @t153 () (tptp.leq @t40 @t132)) % 0.37/0.96 (define @t154 () (tptp.ssList tptp.sk1)) % 0.37/0.96 (define @t155 () (tptp.ssList tptp.sk3)) % 0.37/0.96 (define @t156 () (= tptp.sk2 tptp.sk4)) % 0.37/0.96 (define @t157 () (= tptp.sk1 tptp.sk3)) % 0.37/0.96 (define @t158 () (tptp.ssList tptp.sk5)) % 0.37/0.96 (define @t159 () (tptp.app tptp.sk3 tptp.sk5)) % 0.37/0.96 (define @t160 () (@var "A" $$unsorted)) % 0.37/0.96 (define @t161 () (tptp.cons @t160 tptp.nil)) % 0.37/0.96 (define @t162 () (@var "C" $$unsorted)) % 0.37/0.96 (define @t163 () (@var "B" $$unsorted)) % 0.37/0.96 (define @t164 () (= tptp.nil tptp.sk3)) % 0.37/0.96 (define @t165 () (not @t164)) % 0.37/0.96 (define @t166 () (= tptp.nil tptp.sk4)) % 0.37/0.96 (define @t167 () (tptp.neq tptp.sk2 tptp.nil)) % 0.37/0.96 (define @t168 () (= tptp.nil tptp.sk2)) % 0.37/0.96 (define @t169 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.37/0.96 (define @t170 () (not @t169)) % 0.37/0.96 (define @t171 () (tptp.neq tptp.sk1 tptp.nil)) % 0.37/0.96 (define @t172 () (not @t171)) % 0.37/0.96 (define @t173 () (= tptp.nil tptp.sk1)) % 0.37/0.96 (define @t174 () (not @t173)) % 0.37/0.96 (define @t175 () (tptp.segmentP @t138 @t40)) % 0.37/0.96 (define @t176 () (not (tptp.ssList @t138))) % 0.37/0.96 (define @t177 () (not (= @t138 @t138))) % 0.37/0.96 (define @t178 () (or @t177 @t118 @t47 @t65 @t176 @t175)) % 0.37/0.96 (define @t179 () (not (= @t132 @t138))) % 0.37/0.96 (define @t180 () (or @t179 @t179 @t118 @t47 @t65 @t133 @t137)) % 0.37/0.96 (define @t181 () (@list @t132)) % 0.37/0.96 (define @t182 () (or @t179 @t118 @t47 @t65 @t133 @t137)) % 0.37/0.96 (define @t183 () (forall @t181 @t182)) % 0.37/0.96 (define @t184 () (forall @t119 @t183)) % 0.37/0.96 (define @t185 () (tptp.app tptp.sk5 tptp.nil)) % 0.37/0.96 (define @t186 () (tptp.app tptp.sk3 @t185)) % 0.37/0.96 (define @t187 () (tptp.app @t159 tptp.nil)) % 0.37/0.96 (define @t188 () (= @t187 @t186)) % 0.37/0.96 (define @t189 () (not @t155)) % 0.37/0.96 (define @t190 () (not @t158)) % 0.37/0.96 (define @t191 () (not @t1)) % 0.37/0.96 (define @t192 () (or @t191 @t190 @t189 @t188)) % 0.37/0.96 (define @t193 () (@list tptp.sk1)) % 0.37/0.96 (define @t194 () (= tptp.sk1 (tptp.app tptp.nil tptp.sk1))) % 0.37/0.96 (define @t195 () (not @t154)) % 0.37/0.96 (define @t196 () (or @t195 @t194)) % 0.37/0.96 (define @t197 () (@list false false)) % 0.37/0.96 (define @t198 () (= tptp.sk5 @t185)) % 0.37/0.96 (define @t199 () (or @t190 @t198)) % 0.37/0.96 (define @t200 () (@list tptp.sk3 tptp.sk5)) % 0.37/0.96 (define @t201 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.37/0.96 (define @t202 () (or @t195 @t201)) % 0.37/0.96 (define @t203 () (= tptp.sk1 (tptp.app tptp.sk1 tptp.nil))) % 0.37/0.96 (define @t204 () (or @t195 @t203)) % 0.37/0.96 (define @t205 () (= tptp.sk4 @t159)) % 0.37/0.96 (define @t206 () (= tptp.nil tptp.sk5)) % 0.37/0.96 (define @t207 () (tptp.app tptp.nil tptp.sk3)) % 0.37/0.96 (define @t208 () (tptp.app @t207 tptp.sk5)) % 0.37/0.96 (define @t209 () (tptp.segmentP @t187 tptp.sk1)) % 0.37/0.96 (define @t210 () (and @t156 @t157 @t205 @t201 @t203 @t198 @t194 @t206 @t188)) % 0.37/0.96 (define @t211 () (not @t188)) % 0.37/0.96 (define @t212 () (not @t206)) % 0.37/0.96 (define @t213 () (not @t194)) % 0.37/0.96 (define @t214 () (not @t198)) % 0.37/0.96 (define @t215 () (not @t203)) % 0.37/0.96 (define @t216 () (not @t205)) % 0.37/0.96 (define @t217 () (not @t157)) % 0.37/0.96 (define @t218 () (not @t156)) % 0.37/0.96 (define @t219 () (= tptp.nil @t159)) % 0.37/0.96 (define @t220 () (not @t219)) % 0.37/0.96 (define @t221 () (or @t220 @t190 @t189 @t164)) % 0.37/0.96 (define @t222 () (and @t157 @t165)) % 0.37/0.96 (define @t223 () (not @t168)) % 0.37/0.96 (define @t224 () (not @t220)) % 0.37/0.96 (define @t225 () (and @t156 @t205 @t220)) % 0.37/0.96 (define @t226 () (or @t191 @t195 @t171 @t173)) % 0.37/0.96 (define @t227 () (and @t157 @t164)) % 0.37/0.96 (define @t228 () (not (tptp.neq @t40 @t40))) % 0.37/0.96 (define @t229 () (not (= @t40 @t40))) % 0.37/0.96 (define @t230 () (or @t229 @t228 @t65 @t65)) % 0.37/0.96 (define @t231 () (@list @t40)) % 0.37/0.96 (define @t232 () (or @t89 @t89 @t91 @t65 @t47)) % 0.37/0.96 (define @t233 () (forall @t4 @t92)) % 0.37/0.96 (define @t234 () (forall @t231 @t233)) % 0.37/0.96 (define @t235 () (forall (@list @t40 @t2) @t92)) % 0.37/0.96 (define @t236 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.37/0.96 (define @t237 () (not @t236)) % 0.37/0.96 (define @t238 () (or @t237 @t195)) % 0.37/0.96 (define @t239 () (not @t167)) % 0.37/0.96 (define @t240 () (and @t156 @t157 @t164 @t205 @t203 @t194 @t206 @t237)) % 0.37/0.96 (define @t241 () (or @t220 @t190 @t189 @t206)) % 0.37/0.96 (define @t242 () (not @t166)) % 0.37/0.96 (define @t243 () (and @t205 @t220)) % 0.37/0.96 (define @t244 () (@list true)) % 0.37/0.96 (define @t245 () (tptp.segmentP @t208 tptp.sk3)) % 0.37/0.96 (define @t246 () (not @t245)) % 0.37/0.96 (define @t247 () (and @t156 @t157 @t170 @t205 @t198 @t194 @t188)) % 0.37/0.96 (define @t248 () (tptp.ssList @t208)) % 0.37/0.96 (define @t249 () (not @t248)) % 0.37/0.96 (define @t250 () (or @t190 @t191 @t189 @t249 @t245)) % 0.37/0.96 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.96 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.96 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.96 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.96 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.96 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.96 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.96 (assume @p8 @t1) % 0.37/0.96 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.96 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.96 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.96 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.96 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.96 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.96 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.96 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.96 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.96 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.96 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.96 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.96 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.96 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.96 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.96 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.96 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.96 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.96 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.96 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.96 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.96 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.96 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.96 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.96 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.96 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.96 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.96 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.96 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.96 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.96 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.96 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.96 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.96 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.96 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.96 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.96 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.96 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.96 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.96 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.96 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.96 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.96 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.96 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.96 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.96 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.96 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.96 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.96 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.96 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.96 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.96 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.96 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.96 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.96 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.96 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.96 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.96 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.96 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.96 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.96 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.96 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.96 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.96 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.96 (assume @p73 @t53) % 0.37/0.96 (assume @p74 @t56) % 0.37/0.96 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 0.37/0.96 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 0.37/0.96 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 0.37/0.96 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 0.37/0.96 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 0.37/0.96 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 0.37/0.96 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 0.37/0.96 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 0.37/0.96 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 0.37/0.96 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 0.37/0.96 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 0.37/0.96 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 0.37/0.96 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 0.37/0.96 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 0.37/0.96 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 0.37/0.96 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 0.37/0.96 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 0.37/0.96 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 0.37/0.96 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 0.37/0.96 (assume @p94 (forall @t41 (or @t46 @t65 (= (tptp.tl @t66) @t40)))) % 0.37/0.96 (assume @p95 (forall @t41 (or @t46 @t65 (= (tptp.hd @t66) @t2)))) % 0.37/0.96 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 0.37/0.96 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 0.37/0.96 (assume @p98 @t76) % 0.37/0.96 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.96 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 0.37/0.96 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 0.37/0.96 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 0.37/0.96 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 0.37/0.96 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 0.37/0.96 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 0.37/0.96 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 0.37/0.96 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 0.37/0.96 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 0.37/0.96 (assume @p109 (forall @t41 (or @t89 @t80 @t77 @t46))) % 0.37/0.96 (assume @p110 (forall @t41 (or @t61 @t47 @t77 (tptp.strictorderedP @t90)))) % 0.37/0.96 (assume @p111 (forall @t41 (or @t61 @t47 @t77 (tptp.totalorderedP @t90)))) % 0.37/0.96 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 0.37/0.96 (assume @p113 @t93) % 0.37/0.96 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 0.37/0.96 (assume @p115 (forall @t41 (or @t89 @t91 @t77 @t46))) % 0.37/0.96 (assume @p116 @t98) % 0.37/0.96 (assume @p117 @t101) % 0.37/0.96 (assume @p118 (forall @t41 (or @t46 @t65 (= (tptp.app @t48 @t40) @t66)))) % 0.37/0.96 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t88))) % 0.37/0.96 (assume @p120 (forall @t41 (or @t47 @t65 @t99 (= (tptp.hd @t64) @t102)))) % 0.37/0.96 (assume @p121 (forall @t41 (or @t105 @t65 @t46 @t103 @t99))) % 0.37/0.96 (assume @p122 (forall @t41 (or @t108 @t65 @t46 @t106 @t99))) % 0.37/0.96 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 0.37/0.96 (assume @p124 (forall @t41 (or @t109 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t73))) % 0.37/0.96 (assume @p125 (forall @t41 (or @t110 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t73))) % 0.37/0.96 (assume @p126 (forall @t41 (or @t111 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t73))) % 0.37/0.96 (assume @p127 (forall @t41 (or @t87 @t112 @t46 @t77 @t73))) % 0.37/0.96 (assume @p128 (forall @t41 (or @t110 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.96 (assume @p129 (forall @t41 (or @t111 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.37/0.96 (assume @p130 (forall @t41 (or @t47 @t65 @t99 (= (tptp.tl @t64) (tptp.app @t113 @t2))))) % 0.37/0.96 (assume @p131 (forall @t41 (or @t105 @t65 @t46 @t114 @t99))) % 0.37/0.96 (assume @p132 (forall @t41 (or @t108 @t65 @t46 @t115 @t99))) % 0.37/0.96 (assume @p133 (forall @t119 (or @t110 @t118 @t65 @t47 (tptp.rearsegP @t117 @t40)))) % 0.37/0.96 (assume @p134 (forall @t119 (or @t111 @t118 @t65 @t47 (tptp.frontsegP @t120 @t40)))) % 0.37/0.96 (assume @p135 (forall @t119 (or @t89 @t118 @t77 @t46 (tptp.memberP @t121 @t2)))) % 0.37/0.96 (assume @p136 (forall @t119 (or @t124 @t47 @t123 @t77 (tptp.memberP @t122 @t40)))) % 0.37/0.96 (assume @p137 (forall @t119 (or @t124 @t118 @t47 @t77 (tptp.memberP @t120 @t40)))) % 0.37/0.96 (assume @p138 (forall @t119 (or @t124 @t47 @t118 @t77 (tptp.memberP @t117 @t40)))) % 0.37/0.96 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.96 (assume @p140 (forall @t119 (or @t125 @t47 @t65 @t118 (tptp.rearsegP @t116 @t40)))) % 0.37/0.96 (assume @p141 (forall @t119 (or @t125 @t65 @t47 @t118 (tptp.frontsegP @t116 @t2)))) % 0.37/0.96 (assume @p142 (forall @t41 (or @t61 (not @t99) @t65 @t47 @t95))) % 0.37/0.96 (assume @p143 (forall @t119 (or @t82 (not (tptp.gt @t40 @t116)) @t123 @t77 @t46 (tptp.gt @t2 @t116)))) % 0.37/0.96 (assume @p144 (forall @t119 (or @t87 @t127 @t123 @t77 @t46 @t126))) % 0.37/0.96 (assume @p145 (forall @t119 (or @t85 (not (tptp.geq @t40 @t116)) @t123 @t77 @t46 (tptp.geq @t2 @t116)))) % 0.37/0.96 (assume @p146 (forall @t119 (or @t47 @t65 @t118 (= (tptp.app @t128 @t2) (tptp.app @t116 @t64))))) % 0.37/0.96 (assume @p147 (forall @t119 (or (not (= @t94 @t120)) @t65 @t47 @t118 @t129))) % 0.37/0.96 (assume @p148 (forall @t119 (or (not (= @t94 @t128)) @t47 @t65 @t118 @t130))) % 0.37/0.96 (assume @p149 (forall @t119 (or @t109 (not (tptp.segmentP @t40 @t116)) @t118 @t65 @t47 (tptp.segmentP @t2 @t116)))) % 0.37/0.96 (assume @p150 (forall @t119 (or @t110 (not (tptp.rearsegP @t40 @t116)) @t118 @t65 @t47 (tptp.rearsegP @t2 @t116)))) % 0.37/0.96 (assume @p151 (forall @t119 (or @t111 (not (tptp.frontsegP @t40 @t116)) @t118 @t65 @t47 (tptp.frontsegP @t2 @t116)))) % 0.37/0.96 (assume @p152 (forall @t119 (or @t80 @t127 @t123 @t77 @t46 @t126))) % 0.37/0.96 (assume @p153 (forall @t119 (or @t87 (not (tptp.leq @t40 @t116)) @t123 @t77 @t46 (tptp.leq @t2 @t116)))) % 0.37/0.96 (assume @p154 (forall @t119 (or @t46 @t65 @t118 (= (tptp.cons @t2 (tptp.app @t40 @t116)) (tptp.app @t66 @t116))))) % 0.37/0.96 (assume @p155 (forall @t119 (or (not (tptp.memberP @t94 @t116)) @t65 @t47 @t123 @t131 (tptp.memberP @t2 @t116)))) % 0.37/0.96 (assume @p156 (forall @t41 (or (not @t115) (not @t106) @t65 @t46 @t107 @t99))) % 0.37/0.96 (assume @p157 (forall @t41 (or (not @t114) (not @t103) @t65 @t46 @t104 @t99))) % 0.37/0.96 (assume @p158 (forall @t119 (or (not (tptp.memberP @t66 @t116)) @t65 @t46 @t123 @t131 (= @t116 @t2)))) % 0.37/0.96 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.96 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.96 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.96 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.96 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.96 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.96 (assume @p165 (forall @t41 (or @t109 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.96 (assume @p166 (forall @t41 (or @t124 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.96 (assume @p167 (forall @t136 (or @t135 @t123 @t46 @t133 @t65 @t130))) % 0.37/0.96 (assume @p168 (forall @t136 (or @t135 @t123 @t46 @t133 @t65 (= @t132 @t40)))) % 0.37/0.96 (assume @p169 (forall @t136 (or @t109 @t118 @t133 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t132 @t2) @t116) @t40)))) % 0.37/0.96 (assume @p170 @t141) % 0.37/0.96 (assume @p171 (forall @t136 (or @t142 @t133 @t65 @t123 @t46 (tptp.frontsegP @t40 @t132)))) % 0.37/0.96 (assume @p172 (forall @t136 (or (not (= @t143 @t132)) @t118 @t47 @t77 @t133 (tptp.memberP @t132 @t40)))) % 0.37/0.96 (assume @p173 (forall @t136 (or @t142 @t133 @t65 @t123 @t46 @t130))) % 0.37/0.96 (assume @p174 (forall @t41 (or (not (= @t58 @t113)) (not (= @t59 @t102)) @t47 @t65 @t99 @t88 @t57))) % 0.37/0.96 (assume @p175 (forall @t136 (or @t111 (not (= @t116 @t132)) @t65 @t47 @t144 @t123 (tptp.frontsegP @t122 (tptp.cons @t132 @t40))))) % 0.37/0.96 (assume @p176 (forall @t147 (or (not (= (tptp.app @t143 (tptp.cons @t40 @t132)) @t145)) @t133 @t118 @t47 @t77 (not (tptp.duplicatefreeP @t145)) @t146))) % 0.37/0.96 (assume @p177 (forall @t147 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t134)) @t145)) @t133 @t47 @t123 @t77 (not (tptp.equalelemsP @t145)) @t146 @t129))) % 0.37/0.96 (assume @p178 (forall @t152 (or @t151 @t146 @t118 @t47 @t144 @t77 (not (tptp.strictorderedP @t149)) @t150 @t148))) % 0.37/0.96 (assume @p179 (forall @t152 (or @t151 @t146 @t118 @t47 @t144 @t77 (not (tptp.totalorderedP @t149)) @t150 @t153))) % 0.37/0.96 (assume @p180 (forall @t152 (or @t151 @t146 @t118 @t47 @t144 @t77 (not (tptp.strictorderP @t149)) @t150 @t148 (tptp.lt @t132 @t40)))) % 0.37/0.96 (assume @p181 (forall @t152 (or @t151 @t146 @t118 @t47 @t144 @t77 (not (tptp.totalorderP @t149)) @t150 @t153 (tptp.leq @t132 @t40)))) % 0.37/0.96 (assume @p182 (forall @t152 (or @t87 @t112 (not (= (tptp.app (tptp.app @t116 (tptp.cons @t2 @t132)) (tptp.cons @t40 @t145)) @t149)) @t146 @t133 @t118 @t77 @t46 (not (tptp.cyclefreeP @t149)) @t150))) % 0.37/0.96 (assume @p183 @t154) % 0.37/0.96 (assume @p184 (tptp.ssList tptp.sk2)) % 0.37/0.96 (assume @p185 @t155) % 0.37/0.96 (assume @p186 (tptp.ssList tptp.sk4)) % 0.37/0.96 (assume @p187 @t156) % 0.37/0.96 (assume @p188 @t157) % 0.37/0.96 (assume @p189 @t158) % 0.37/0.96 (assume @p190 (= @t159 tptp.sk4)) % 0.37/0.96 (assume @p191 (tptp.equalelemsP tptp.sk3)) % 0.37/0.96 (assume @p192 (forall (@list @t160 @t163 @t162) (or (not (tptp.ssItem @t160)) (not (tptp.ssList @t163)) (not (= (tptp.app @t161 @t163) tptp.sk5)) (not (tptp.ssList @t162)) (not (= (tptp.app @t162 @t161) tptp.sk3))))) % 0.37/0.96 (assume @p193 (or @t166 @t165)) % 0.37/0.96 (assume @p194 (or @t168 @t167)) % 0.37/0.96 (assume @p195 (or @t168 @t172 @t170)) % 0.37/0.96 (assume @p196 (or @t174 @t167)) % 0.37/0.96 (assume @p197 (or @t174 @t172 @t170)) % 0.37/0.96 (step @p198 :rule aci_norm :args ((= (or false @t118 @t47 @t65 @t176 @t175) (or @t118 @t47 @t65 @t176 @t175)))) % 0.37/0.96 (step @p199 :rule refl :args (@t175)) % 0.37/0.96 (step @p200 :rule refl :args (@t176)) % 0.37/0.96 (step @p201 :rule refl :args (@t65)) % 0.37/0.96 (step @p202 :rule refl :args (@t47)) % 0.37/0.96 (step @p203 :rule refl :args (@t118)) % 0.37/0.96 (step @p204 :rule evaluate :args ((not true))) % 0.37/0.96 (step @p205 :rule eq-refl :args (@t138)) % 0.37/0.96 (step @p206 :rule cong :premises (@p205) :args (@t177)) % 0.37/0.96 (step @p207 :rule trans :premises (@p206 @p204)) % 0.37/0.96 (step @p208 :rule nary_cong :premises (@p207 @p203 @p202 @p201 @p200 @p199) :args (@t178)) % 0.37/0.96 (step @p209 :rule trans :premises (@p208 @p198)) % 0.37/0.96 (step @p210 :rule cong :premises (@p209) :args ((forall @t119 @t178))) % 0.37/0.96 (step @p211 :rule quant-var-elim-eq :args ((= (forall @t181 @t180) @t178))) % 0.37/0.96 (step @p212 :rule aci_norm :args ((= @t182 @t180))) % 0.37/0.96 (step @p213 :rule cong :premises (@p212) :args (@t183)) % 0.37/0.96 (step @p214 :rule trans :premises (@p213 @p211)) % 0.37/0.96 (step @p215 :rule cong :premises (@p214) :args (@t184)) % 0.37/0.96 (step @p216 :rule quant-merge-prenex :args ((= @t184 (forall @t136 @t182)))) % 0.37/0.96 (step @p217 :rule symm :premises (@p216)) % 0.37/0.96 (step @p218 :rule trans :premises (@p217 @p215)) % 0.37/0.96 (step @p219 :rule trans :premises (@p218 @p210)) % 0.37/0.96 (step @p220 :rule refl :args (@t137)) % 0.37/0.96 (step @p221 :rule refl :args (@t133)) % 0.37/0.96 (step @p222 :rule eq-symm :args (@t138 @t132)) % 0.37/0.96 (step @p223 :rule cong :premises (@p222) :args (@t139)) % 0.37/0.96 (step @p224 :rule nary_cong :premises (@p223 @p203 @p202 @p201 @p221 @p220) :args (@t140)) % 0.37/0.96 (step @p225 :rule cong :premises (@p224) :args (@t141)) % 0.37/0.96 (step @p226 :rule trans :premises (@p225 @p219)) % 0.37/0.96 (step @p227 :rule eq_resolve :premises (@p170 @p226)) % 0.37/0.96 (step @p228 :rule instantiate :premises (@p227) :args ((@list tptp.nil tptp.sk3 tptp.sk5))) % 0.37/0.96 (step @p229 :rule instantiate :premises (@p146) :args ((@list tptp.nil tptp.sk5 tptp.sk3))) % 0.37/0.96 (step @p230 :rule cnf_or_pos :args (@t192)) % 0.37/0.96 (step @p231 :rule reordering :premises (@p230) :args ((or @t191 @t189 @t190 @t188 (not @t192)))) % 0.37/0.96 (step @p232 :rule chain_m_resolution :premises (@p231 @p8 @p185 @p189 @p229) :args (@t188 (@list false false false false) (@list @t1 @t155 @t158 @t192))) % 0.37/0.96 (step @p233 :rule eq-symm :args (@t54 @t2)) % 0.37/0.96 (step @p234 :rule nary_cong :premises (@p202 @p233) :args (@t55)) % 0.37/0.96 (step @p235 :rule cong :premises (@p234) :args (@t56)) % 0.37/0.96 (step @p236 :rule eq_resolve :premises (@p74 @p235)) % 0.37/0.96 (step @p237 :rule instantiate :premises (@p236) :args (@t193)) % 0.37/0.96 (step @p238 :rule cnf_or_pos :args (@t196)) % 0.37/0.96 (step @p239 :rule reordering :premises (@p238) :args ((or @t195 @t194 (not @t196)))) % 0.37/0.96 (step @p240 :rule chain_m_resolution :premises (@p239 @p183 @p237) :args (@t194 @t197 (@list @t154 @t196))) % 0.37/0.96 (step @p241 :rule eq-symm :args (@t51 @t2)) % 0.37/0.96 (step @p242 :rule nary_cong :premises (@p202 @p241) :args (@t52)) % 0.37/0.96 (step @p243 :rule cong :premises (@p242) :args (@t53)) % 0.37/0.96 (step @p244 :rule eq_resolve :premises (@p73 @p243)) % 0.37/0.96 (step @p245 :rule instantiate :premises (@p244) :args ((@list tptp.sk5))) % 0.37/0.96 (step @p246 :rule cnf_or_pos :args (@t199)) % 0.37/0.96 (step @p247 :rule reordering :premises (@p246) :args ((or @t190 @t198 (not @t199)))) % 0.37/0.96 (step @p248 :rule chain_m_resolution :premises (@p247 @p189 @p245) :args (@t198 @t197 (@list @t158 @t199))) % 0.37/0.96 (step @p249 :rule symm :premises (@p190)) % 0.37/0.96 (step @p250 :rule refl :args (@t99)) % 0.37/0.96 (step @p251 :rule eq-symm :args (@t94 tptp.nil)) % 0.37/0.96 (step @p252 :rule cong :premises (@p251) :args (@t96)) % 0.37/0.96 (step @p253 :rule nary_cong :premises (@p252 @p201 @p202 @p250) :args (@t100)) % 0.37/0.96 (step @p254 :rule cong :premises (@p253) :args (@t101)) % 0.37/0.96 (step @p255 :rule eq_resolve :premises (@p117 @p254)) % 0.37/0.96 (step @p256 :rule instantiate :premises (@p255) :args (@t200)) % 0.37/0.96 (step @p257 :rule instantiate :premises (@p57) :args (@t193)) % 0.37/0.96 (step @p258 :rule cnf_or_pos :args (@t202)) % 0.37/0.96 (step @p259 :rule reordering :premises (@p258) :args ((or @t195 @t201 (not @t202)))) % 0.37/0.96 (step @p260 :rule chain_m_resolution :premises (@p259 @p183 @p257) :args (@t201 @t197 (@list @t154 @t202))) % 0.37/0.96 (step @p261 :rule instantiate :premises (@p244) :args (@t193)) % 0.37/0.96 (step @p262 :rule cnf_or_pos :args (@t204)) % 0.37/0.96 (step @p263 :rule reordering :premises (@p262) :args ((or @t195 @t203 (not @t204)))) % 0.37/0.96 (step @p264 :rule chain_m_resolution :premises (@p263 @p183 @p261) :args (@t203 @t197 (@list @t154 @t204))) % 0.37/0.96 (assume-push @p593 @t156) % 0.37/0.96 (assume-push @p594 @t157) % 0.37/0.96 (assume-push @p595 @t205) % 0.37/0.96 (assume-push @p596 @t201) % 0.37/0.96 (assume-push @p597 @t203) % 0.37/0.96 (assume-push @p598 @t198) % 0.37/0.96 (assume-push @p599 @t194) % 0.37/0.96 (assume-push @p600 @t206) % 0.37/0.96 (assume-push @p601 @t188) % 0.37/0.96 (assume-push @p602 @t201) % 0.37/0.96 (assume-push @p603 @t203) % 0.37/0.96 (assume-push @p604 @t157) % 0.37/0.96 (assume-push @p605 @t194) % 0.37/0.96 (assume-push @p606 @t206) % 0.37/0.96 (assume-push @p607 @t205) % 0.37/0.96 (assume-push @p608 @t156) % 0.37/0.96 (assume-push @p609 @t198) % 0.37/0.96 (assume-push @p610 @t188) % 0.37/0.96 (step @p283 :rule true_intro :premises (@p260)) % 0.37/0.96 (step @p284 :rule refl :args (tptp.sk1)) % 0.37/0.96 (step @p285 :rule symm :premises (@p264)) % 0.37/0.96 (step @p286 :rule symm :premises (@p600)) % 0.37/0.96 (step @p287 :rule symm :premises (@p188)) % 0.37/0.96 (step @p288 :rule symm :premises (@p240)) % 0.37/0.96 (step @p289 :rule refl :args (tptp.nil)) % 0.37/0.96 (step @p290 :rule cong :premises (@p289 @p287) :args (@t207)) % 0.37/0.96 (step @p291 :rule trans :premises (@p290 @p288 @p188)) % 0.37/0.96 (step @p292 :rule trans :premises (@p291 @p287)) % 0.37/0.96 (step @p293 :rule cong :premises (@p292 @p286) :args (@t208)) % 0.37/0.96 (step @p294 :rule refl :args (tptp.sk5)) % 0.37/0.96 (step @p295 :rule symm :premises (@p291)) % 0.37/0.96 (step @p296 :rule cong :premises (@p295 @p294) :args (@t159)) % 0.37/0.96 (step @p297 :rule trans :premises (@p187 @p249 @p296 @p293 @p285)) % 0.37/0.96 (step @p298 :rule symm :premises (@p187)) % 0.37/0.96 (step @p299 :rule symm :premises (@p248)) % 0.37/0.96 (step @p300 :rule refl :args (tptp.sk3)) % 0.37/0.96 (step @p301 :rule cong :premises (@p300 @p299) :args (@t186)) % 0.37/0.96 (step @p302 :rule trans :premises (@p232 @p301 @p190 @p298)) % 0.37/0.96 (step @p303 :rule trans :premises (@p302 @p297)) % 0.37/0.96 (step @p304 :rule cong :premises (@p303 @p284) :args (@t209)) % 0.37/0.96 (step @p305 :rule symm :premises (@p302)) % 0.37/0.96 (step @p306 :rule cong :premises (@p305 @p284) :args (@t169)) % 0.37/0.96 (step @p307 :rule trans :premises (@p306 @p304 @p283)) % 0.37/0.96 (step @p308 :rule true_elim :premises (@p307)) % 0.37/0.96 (step-pop @p611 :rule scope :premises (@p308)) % 0.37/0.96 (step-pop @p612 :rule scope :premises (@p611)) % 0.37/0.96 (step-pop @p613 :rule scope :premises (@p612)) % 0.37/0.96 (step-pop @p614 :rule scope :premises (@p613)) % 0.37/0.96 (step-pop @p615 :rule scope :premises (@p614)) % 0.37/0.96 (step-pop @p616 :rule scope :premises (@p615)) % 0.37/0.96 (step-pop @p617 :rule scope :premises (@p616)) % 0.37/0.96 (step-pop @p618 :rule scope :premises (@p617)) % 0.37/0.96 (step-pop @p619 :rule scope :premises (@p618)) % 0.37/0.96 (step @p309 :rule process_scope :premises (@p619) :args (@t169)) % 0.37/0.96 (step @p319 :rule and_intro :premises (@p260 @p264 @p188 @p240 @p600 @p249 @p187 @p248 @p232)) % 0.37/0.96 (step @p320 :rule modus_ponens :premises (@p319 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(step-pop @p716 :rule scope :premises (@p715)) % 0.37/0.96 (step-pop @p717 :rule scope :premises (@p716)) % 0.37/0.96 (step @p562 :rule process_scope :premises (@p717) :args (@t246)) % 0.37/0.96 (step @p570 :rule and_intro :premises (@p699 @p187 @p249 @p248 @p232 @p188 @p240)) % 0.37/0.96 (step @p571 :rule modus_ponens :premises (@p570 @p562)) % 0.37/0.96 (step-pop @p718 :rule scope :premises (@p571)) % 0.37/0.96 (step-pop @p719 :rule scope :premises (@p718)) % 0.37/0.96 (step-pop @p720 :rule scope :premises (@p719)) % 0.37/0.96 (step-pop @p721 :rule scope :premises (@p720)) % 0.37/0.96 (step-pop @p722 :rule scope :premises (@p721)) % 0.37/0.96 (step-pop @p723 :rule scope :premises (@p722)) % 0.37/0.96 (step-pop @p724 :rule scope :premises (@p723)) % 0.37/0.96 (step @p572 :rule process_scope :premises (@p724) :args (@t246)) % 0.37/0.96 (step @p580 :rule implies_elim :premises (@p572)) % 0.37/0.96 (step @p581 :rule cnf_and_neg :args (@t247)) % 0.37/0.96 (step @p582 :rule resolution :premises (@p581 @p580) :args (true @t247)) % 0.37/0.96 (step @p583 :rule eq_resolve :premises (@p582 @p539)) % 0.37/0.96 (step @p584 :rule reordering :premises (@p583) :args ((or @t169 @t218 @t217 @t216 @t214 @t213 @t211 @t246))) % 0.37/0.96 (step @p585 :rule chain_m_resolution :premises (@p584 @p534 @p187 @p188 @p249 @p248 @p240 @p232) :args (@t246 (@list true false false false false false false) (@list @t169 @t156 @t157 @t205 @t198 @t194 @t188))) % 0.37/0.96 (step @p586 :rule true_intro :premises (@p184)) % 0.37/0.96 (step @p298 :rule symm :premises (@p187)) % 0.37/0.96 (step @p294 :rule refl :args (tptp.sk5)) % 0.37/0.96 (step @p288 :rule symm :premises (@p240)) % 0.37/0.96 (step @p287 :rule symm :premises (@p188)) % 0.37/0.96 (step @p289 :rule refl :args (tptp.nil)) % 0.37/0.96 (step @p290 :rule cong :premises (@p289 @p287) :args (@t207)) % 0.37/0.96 (step @p291 :rule trans :premises (@p290 @p288 @p188)) % 0.37/0.96 (step @p556 :rule cong :premises (@p291 @p294) :args (@t208)) % 0.37/0.96 (step @p557 :rule trans :premises (@p556 @p190 @p298)) % 0.37/0.96 (step @p587 :rule cong :premises (@p557) :args (@t248)) % 0.37/0.96 (step @p588 :rule trans :premises (@p587 @p586)) % 0.37/0.96 (step @p589 :rule true_elim :premises (@p588)) % 0.37/0.96 (step @p590 :rule cnf_or_pos :args (@t250)) % 0.37/0.96 (step @p591 :rule reordering :premises (@p590) :args ((or @t191 @t189 @t190 @t249 @t245 (not @t250)))) % 0.37/0.96 (step @p592 false :rule chain_m_resolution :premises (@p591 @p589 @p585 @p228 @p189 @p185 @p8) :args (false (@list false true false false false false) (@list @t248 @t245 @t250 @t158 @t155 @t1))) % 0.37/0.96 ) % 0.37/0.96 % SZS output end Proof % 0.37/0.96 % cvc5 exiting %------------------------------------------------------------------------------