%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC058-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:57:53 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.62s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SWC058-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 19:11:48 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.62 % SZS status Unsatisfiable % 0.43/0.62 % SZS output start Proof % 0.43/0.63 ( % 0.43/0.63 (declare-sort $$unsorted 0) % 0.43/0.63 (declare-const tptp.sk4 $$unsorted) % 0.43/0.63 (declare-const tptp.sk2 $$unsorted) % 0.43/0.63 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.nil $$unsorted) % 0.43/0.63 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.sk1 $$unsorted) % 0.43/0.63 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skac2 $$unsorted) % 0.43/0.63 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.sk3 $$unsorted) % 0.43/0.63 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skac3 $$unsorted) % 0.43/0.63 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.43/0.63 (define @t1 () (tptp.ssList tptp.nil)) % 0.43/0.63 (define @t2 () (@var "U" $$unsorted)) % 0.43/0.63 (define @t3 () (tptp.skaf83 @t2)) % 0.43/0.63 (define @t4 () (@list @t2)) % 0.43/0.63 (define @t5 () (tptp.skaf82 @t2)) % 0.43/0.63 (define @t6 () (tptp.skaf81 @t2)) % 0.43/0.63 (define @t7 () (tptp.skaf80 @t2)) % 0.43/0.63 (define @t8 () (tptp.skaf79 @t2)) % 0.43/0.63 (define @t9 () (tptp.skaf78 @t2)) % 0.43/0.63 (define @t10 () (tptp.skaf77 @t2)) % 0.43/0.63 (define @t11 () (tptp.skaf76 @t2)) % 0.43/0.63 (define @t12 () (tptp.skaf75 @t2)) % 0.43/0.63 (define @t13 () (tptp.skaf74 @t2)) % 0.43/0.63 (define @t14 () (tptp.skaf73 @t2)) % 0.43/0.63 (define @t15 () (tptp.skaf72 @t2)) % 0.43/0.63 (define @t16 () (tptp.skaf71 @t2)) % 0.43/0.63 (define @t17 () (tptp.skaf70 @t2)) % 0.43/0.63 (define @t18 () (tptp.skaf69 @t2)) % 0.43/0.63 (define @t19 () (tptp.skaf68 @t2)) % 0.43/0.63 (define @t20 () (tptp.skaf67 @t2)) % 0.43/0.63 (define @t21 () (tptp.skaf66 @t2)) % 0.43/0.63 (define @t22 () (tptp.skaf65 @t2)) % 0.43/0.63 (define @t23 () (tptp.skaf64 @t2)) % 0.43/0.63 (define @t24 () (tptp.skaf63 @t2)) % 0.43/0.63 (define @t25 () (tptp.skaf62 @t2)) % 0.43/0.63 (define @t26 () (tptp.skaf61 @t2)) % 0.43/0.63 (define @t27 () (tptp.skaf60 @t2)) % 0.43/0.63 (define @t28 () (tptp.skaf59 @t2)) % 0.43/0.63 (define @t29 () (tptp.skaf58 @t2)) % 0.43/0.63 (define @t30 () (tptp.skaf57 @t2)) % 0.43/0.63 (define @t31 () (tptp.skaf56 @t2)) % 0.43/0.63 (define @t32 () (tptp.skaf55 @t2)) % 0.43/0.63 (define @t33 () (tptp.skaf54 @t2)) % 0.43/0.63 (define @t34 () (tptp.skaf53 @t2)) % 0.43/0.63 (define @t35 () (tptp.skaf52 @t2)) % 0.43/0.63 (define @t36 () (tptp.skaf51 @t2)) % 0.43/0.63 (define @t37 () (tptp.skaf50 @t2)) % 0.43/0.63 (define @t38 () (tptp.skaf49 @t2)) % 0.43/0.63 (define @t39 () (tptp.skaf44 @t2)) % 0.43/0.63 (define @t40 () (@var "V" $$unsorted)) % 0.43/0.63 (define @t41 () (@list @t2 @t40)) % 0.43/0.63 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.43/0.63 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.43/0.63 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.43/0.63 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.43/0.63 (define @t46 () (not (tptp.ssItem @t2))) % 0.43/0.63 (define @t47 () (not (tptp.ssList @t2))) % 0.43/0.63 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.43/0.63 (define @t49 () (tptp.ssItem @t40)) % 0.43/0.63 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.43/0.63 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.43/0.63 (define @t52 () (or @t47 (= @t51 @t2))) % 0.43/0.63 (define @t53 () (forall @t4 @t52)) % 0.43/0.63 (define @t54 () (= tptp.nil @t2)) % 0.43/0.63 (define @t55 () (tptp.tl @t2)) % 0.43/0.63 (define @t56 () (tptp.hd @t2)) % 0.43/0.63 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.43/0.63 (define @t58 () (not @t54)) % 0.43/0.63 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.43/0.63 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.43/0.63 (define @t61 () (tptp.app @t40 @t2)) % 0.43/0.63 (define @t62 () (not (tptp.ssList @t40))) % 0.43/0.63 (define @t63 () (tptp.cons @t2 @t40)) % 0.43/0.63 (define @t64 () (tptp.cyclefreeP @t2)) % 0.43/0.63 (define @t65 () (tptp.equalelemsP @t2)) % 0.43/0.63 (define @t66 () (tptp.strictorderedP @t2)) % 0.43/0.63 (define @t67 () (tptp.totalorderedP @t2)) % 0.43/0.63 (define @t68 () (tptp.strictorderP @t2)) % 0.43/0.63 (define @t69 () (tptp.totalorderP @t2)) % 0.43/0.63 (define @t70 () (= @t40 @t2)) % 0.43/0.63 (define @t71 () (tptp.neq @t40 @t2)) % 0.43/0.63 (define @t72 () (not @t49)) % 0.43/0.63 (define @t73 () (tptp.leq @t2 @t40)) % 0.43/0.63 (define @t74 () (tptp.lt @t2 @t40)) % 0.43/0.63 (define @t75 () (not @t74)) % 0.43/0.63 (define @t76 () (tptp.lt @t40 @t2)) % 0.43/0.63 (define @t77 () (not (tptp.gt @t2 @t40))) % 0.43/0.63 (define @t78 () (tptp.gt @t40 @t2)) % 0.43/0.63 (define @t79 () (tptp.leq @t40 @t2)) % 0.43/0.63 (define @t80 () (not (tptp.geq @t2 @t40))) % 0.43/0.63 (define @t81 () (tptp.geq @t40 @t2)) % 0.43/0.63 (define @t82 () (not @t73)) % 0.43/0.63 (define @t83 () (= @t2 @t40)) % 0.43/0.63 (define @t84 () (not @t83)) % 0.43/0.63 (define @t85 () (tptp.cons @t40 @t2)) % 0.43/0.63 (define @t86 () (not (tptp.neq @t2 @t40))) % 0.43/0.63 (define @t87 () (or @t84 @t86 @t62 @t47)) % 0.43/0.63 (define @t88 () (forall @t41 @t87)) % 0.43/0.63 (define @t89 () (tptp.app @t2 @t40)) % 0.43/0.63 (define @t90 () (= @t89 tptp.nil)) % 0.43/0.63 (define @t91 () (not @t90)) % 0.43/0.63 (define @t92 () (= tptp.nil @t40)) % 0.43/0.63 (define @t93 () (tptp.hd @t40)) % 0.43/0.63 (define @t94 () (tptp.strictorderedP @t40)) % 0.43/0.63 (define @t95 () (tptp.strictorderedP @t63)) % 0.43/0.63 (define @t96 () (not @t95)) % 0.43/0.63 (define @t97 () (tptp.totalorderedP @t40)) % 0.43/0.63 (define @t98 () (tptp.totalorderedP @t63)) % 0.43/0.63 (define @t99 () (not @t98)) % 0.43/0.63 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 0.43/0.63 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 0.43/0.63 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 0.43/0.63 (define @t103 () (not @t79)) % 0.43/0.63 (define @t104 () (tptp.app @t43 @t40)) % 0.43/0.63 (define @t105 () (or @t101 @t62 @t47 (= @t104 @t2))) % 0.43/0.63 (define @t106 () (forall @t41 @t105)) % 0.43/0.63 (define @t107 () (tptp.tl @t40)) % 0.43/0.63 (define @t108 () (tptp.lt @t2 @t93)) % 0.43/0.63 (define @t109 () (tptp.leq @t2 @t93)) % 0.43/0.63 (define @t110 () (@var "W" $$unsorted)) % 0.43/0.63 (define @t111 () (tptp.app @t110 @t2)) % 0.43/0.63 (define @t112 () (not (tptp.ssList @t110))) % 0.43/0.63 (define @t113 () (@list @t2 @t40 @t110)) % 0.43/0.63 (define @t114 () (tptp.app @t2 @t110)) % 0.43/0.63 (define @t115 () (tptp.cons @t40 @t110)) % 0.43/0.63 (define @t116 () (tptp.cons @t110 @t2)) % 0.43/0.63 (define @t117 () (not (tptp.ssItem @t110))) % 0.43/0.63 (define @t118 () (not (tptp.memberP @t2 @t40))) % 0.43/0.63 (define @t119 () (not (= @t89 @t110))) % 0.43/0.63 (define @t120 () (tptp.lt @t2 @t110)) % 0.43/0.63 (define @t121 () (not (tptp.lt @t40 @t110))) % 0.43/0.63 (define @t122 () (tptp.app @t110 @t40)) % 0.43/0.63 (define @t123 () (= @t40 @t110)) % 0.43/0.63 (define @t124 () (= @t2 @t110)) % 0.43/0.63 (define @t125 () (tptp.memberP @t40 @t110)) % 0.43/0.63 (define @t126 () (@var "X" $$unsorted)) % 0.43/0.63 (define @t127 () (not (tptp.ssList @t126))) % 0.43/0.63 (define @t128 () (tptp.cons @t110 @t126)) % 0.43/0.63 (define @t129 () (not (= @t63 @t128))) % 0.43/0.63 (define @t130 () (@list @t2 @t40 @t110 @t126)) % 0.43/0.63 (define @t131 () (tptp.segmentP @t126 @t40)) % 0.43/0.63 (define @t132 () (tptp.app @t89 @t110)) % 0.43/0.63 (define @t133 () (not (= @t132 @t126))) % 0.43/0.63 (define @t134 () (or @t133 @t112 @t47 @t62 @t127 @t131)) % 0.43/0.63 (define @t135 () (forall @t130 @t134)) % 0.43/0.63 (define @t136 () (not (tptp.frontsegP @t63 @t128))) % 0.43/0.63 (define @t137 () (tptp.app @t2 @t115)) % 0.43/0.63 (define @t138 () (not (tptp.ssItem @t126))) % 0.43/0.63 (define @t139 () (@var "Y" $$unsorted)) % 0.43/0.63 (define @t140 () (not (tptp.ssList @t139))) % 0.43/0.63 (define @t141 () (@list @t2 @t40 @t110 @t126 @t139)) % 0.43/0.63 (define @t142 () (tptp.lt @t40 @t126)) % 0.43/0.63 (define @t143 () (@var "Z" $$unsorted)) % 0.43/0.63 (define @t144 () (not (tptp.ssList @t143))) % 0.43/0.63 (define @t145 () (not (= (tptp.app @t137 (tptp.cons @t126 @t139)) @t143))) % 0.43/0.63 (define @t146 () (@list @t2 @t40 @t110 @t126 @t139 @t143)) % 0.43/0.63 (define @t147 () (tptp.leq @t40 @t126)) % 0.43/0.63 (define @t148 () (tptp.ssList tptp.sk1)) % 0.43/0.63 (define @t149 () (tptp.ssList tptp.sk2)) % 0.43/0.63 (define @t150 () (tptp.ssList tptp.sk3)) % 0.43/0.63 (define @t151 () (tptp.ssList tptp.sk4)) % 0.43/0.63 (define @t152 () (= tptp.sk2 tptp.sk4)) % 0.43/0.63 (define @t153 () (= tptp.sk1 tptp.sk3)) % 0.43/0.63 (define @t154 () (tptp.neq tptp.sk2 tptp.nil)) % 0.43/0.63 (define @t155 () (= tptp.nil tptp.sk2)) % 0.43/0.63 (define @t156 () (@var "A" $$unsorted)) % 0.43/0.63 (define @t157 () (not (tptp.segmentP tptp.sk1 @t156))) % 0.43/0.63 (define @t158 () (not (tptp.segmentP tptp.sk2 @t156))) % 0.43/0.63 (define @t159 () (not (tptp.neq @t156 tptp.nil))) % 0.43/0.63 (define @t160 () (not (tptp.ssList @t156))) % 0.43/0.63 (define @t161 () (or @t155 @t160 @t159 @t158 @t157)) % 0.43/0.63 (define @t162 () (@list @t156)) % 0.43/0.63 (define @t163 () (forall @t162 @t161)) % 0.43/0.63 (define @t164 () (= tptp.nil tptp.sk1)) % 0.43/0.63 (define @t165 () (not @t164)) % 0.43/0.63 (define @t166 () (or @t165 @t160 @t159 @t158 @t157)) % 0.43/0.63 (define @t167 () (forall @t162 @t166)) % 0.43/0.63 (define @t168 () (tptp.neq tptp.sk3 tptp.nil)) % 0.43/0.63 (define @t169 () (= tptp.nil tptp.sk4)) % 0.43/0.63 (define @t170 () (tptp.rearsegP tptp.sk4 tptp.sk3)) % 0.43/0.63 (define @t171 () (= tptp.nil tptp.sk3)) % 0.43/0.63 (define @t172 () (tptp.segmentP @t132 @t40)) % 0.43/0.63 (define @t173 () (not (tptp.ssList @t132))) % 0.43/0.63 (define @t174 () (not (= @t132 @t132))) % 0.43/0.63 (define @t175 () (or @t174 @t112 @t47 @t62 @t173 @t172)) % 0.43/0.63 (define @t176 () (not (= @t126 @t132))) % 0.43/0.63 (define @t177 () (or @t176 @t176 @t112 @t47 @t62 @t127 @t131)) % 0.43/0.63 (define @t178 () (@list @t126)) % 0.43/0.63 (define @t179 () (or @t176 @t112 @t47 @t62 @t127 @t131)) % 0.43/0.63 (define @t180 () (forall @t178 @t179)) % 0.43/0.63 (define @t181 () (forall @t113 @t180)) % 0.43/0.63 (define @t182 () (tptp.skaf46 tptp.sk4 tptp.sk3)) % 0.43/0.63 (define @t183 () (@list tptp.sk4 tptp.sk3)) % 0.43/0.63 (define @t184 () (not (tptp.neq @t40 @t40))) % 0.43/0.63 (define @t185 () (not (= @t40 @t40))) % 0.43/0.63 (define @t186 () (or @t185 @t184 @t62 @t62)) % 0.43/0.63 (define @t187 () (@list @t40)) % 0.43/0.63 (define @t188 () (or @t84 @t84 @t86 @t62 @t47)) % 0.43/0.63 (define @t189 () (forall @t4 @t87)) % 0.43/0.63 (define @t190 () (forall @t187 @t189)) % 0.43/0.63 (define @t191 () (forall (@list @t40 @t2) @t87)) % 0.43/0.63 (define @t192 () (@list tptp.sk2)) % 0.43/0.63 (define @t193 () (not @t149)) % 0.43/0.63 (define @t194 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.43/0.63 (define @t195 () (not @t194)) % 0.43/0.63 (define @t196 () (or @t195 @t193)) % 0.43/0.63 (define @t197 () (@list false false)) % 0.43/0.63 (define @t198 () (not @t154)) % 0.43/0.63 (define @t199 () (not @t155)) % 0.43/0.63 (define @t200 () (and @t155 @t195)) % 0.43/0.63 (define @t201 () (@list tptp.sk1)) % 0.43/0.63 (define @t202 () (not @t148)) % 0.43/0.63 (define @t203 () (tptp.rearsegP tptp.nil tptp.sk1)) % 0.43/0.63 (define @t204 () (not @t203)) % 0.43/0.63 (define @t205 () (or @t204 @t202 @t164)) % 0.43/0.63 (define @t206 () (not @t171)) % 0.43/0.63 (define @t207 () (not @t153)) % 0.43/0.63 (define @t208 () (and @t153 @t165)) % 0.43/0.63 (define @t209 () (not @t170)) % 0.43/0.63 (define @t210 () (not @t152)) % 0.43/0.63 (define @t211 () (and @t152 @t153 @t155 @t204)) % 0.43/0.63 (define @t212 () (not @t169)) % 0.43/0.63 (define @t213 () (and @t152 @t199)) % 0.43/0.63 (define @t214 () (@list true)) % 0.43/0.63 (define @t215 () (@list @t169)) % 0.43/0.63 (define @t216 () (tptp.app @t182 tptp.sk3)) % 0.43/0.63 (define @t217 () (= tptp.sk4 @t216)) % 0.43/0.63 (define @t218 () (not @t151)) % 0.43/0.63 (define @t219 () (not @t150)) % 0.43/0.63 (define @t220 () (or @t209 @t219 @t218 @t217)) % 0.43/0.63 (define @t221 () (@list false false false false)) % 0.43/0.63 (define @t222 () (= tptp.sk2 (tptp.app tptp.sk2 tptp.nil))) % 0.43/0.63 (define @t223 () (or @t193 @t222)) % 0.43/0.63 (define @t224 () (tptp.segmentP tptp.sk2 tptp.sk3)) % 0.43/0.63 (define @t225 () (tptp.segmentP tptp.sk1 tptp.sk3)) % 0.43/0.63 (define @t226 () (not @t225)) % 0.43/0.63 (define @t227 () (not @t224)) % 0.43/0.63 (define @t228 () (not @t168)) % 0.43/0.63 (define @t229 () (or @t219 @t228 @t227 @t226)) % 0.43/0.63 (define @t230 () (not @t227)) % 0.43/0.63 (define @t231 () (or @t160 @t159 @t158 @t157)) % 0.43/0.63 (define @t232 () (forall @t162 @t231)) % 0.43/0.63 (define @t233 () (or @t155 @t231)) % 0.43/0.63 (define @t234 () (or @t165 @t231)) % 0.43/0.63 (define @t235 () (tptp.segmentP tptp.nil tptp.sk1)) % 0.43/0.63 (define @t236 () (not @t235)) % 0.43/0.63 (define @t237 () (or @t236 @t202 @t164)) % 0.43/0.63 (define @t238 () (and @t153 @t155 @t224)) % 0.43/0.63 (define @t239 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.43/0.63 (define @t240 () (or @t202 @t239)) % 0.43/0.63 (define @t241 () (tptp.app @t216 tptp.nil)) % 0.43/0.63 (define @t242 () (tptp.segmentP @t241 tptp.sk3)) % 0.43/0.63 (define @t243 () (not @t242)) % 0.43/0.63 (define @t244 () (not @t217)) % 0.43/0.63 (define @t245 () (not @t222)) % 0.43/0.63 (define @t246 () (and @t152 @t222 @t217 @t227)) % 0.43/0.63 (define @t247 () (tptp.ssList @t241)) % 0.43/0.63 (define @t248 () (and @t149 @t152 @t222 @t217)) % 0.43/0.63 (define @t249 () (not @t247)) % 0.43/0.63 (define @t250 () (tptp.ssList @t182)) % 0.43/0.63 (define @t251 () (not @t250)) % 0.43/0.63 (define @t252 () (not @t1)) % 0.43/0.63 (define @t253 () (or @t252 @t251 @t219 @t249 @t242)) % 0.43/0.63 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.43/0.63 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.43/0.63 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.43/0.63 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.43/0.63 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.43/0.63 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.43/0.63 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.43/0.63 (assume @p8 @t1) % 0.43/0.63 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.43/0.63 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.43/0.63 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.43/0.63 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.43/0.63 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.43/0.63 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.43/0.63 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.43/0.63 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.43/0.63 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.43/0.63 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.43/0.63 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.43/0.63 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.43/0.63 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.43/0.63 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.43/0.63 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.43/0.63 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.43/0.63 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.43/0.63 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.43/0.63 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.43/0.63 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.43/0.63 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.43/0.63 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.43/0.63 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.43/0.63 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.43/0.63 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.43/0.63 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.43/0.63 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.43/0.63 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.43/0.63 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.43/0.63 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.43/0.63 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.43/0.63 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.43/0.63 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.43/0.63 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.43/0.63 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.43/0.63 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.43/0.63 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.43/0.63 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.43/0.63 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.43/0.63 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.43/0.63 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.43/0.63 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.43/0.63 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.43/0.63 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.43/0.63 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.43/0.63 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.43/0.63 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.43/0.63 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.43/0.63 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.43/0.63 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.43/0.63 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.43/0.63 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.43/0.63 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.43/0.63 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.43/0.63 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.43/0.63 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.43/0.63 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.43/0.63 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.43/0.63 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.43/0.63 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.43/0.63 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.43/0.63 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.43/0.63 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.43/0.63 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.43/0.63 (assume @p73 @t53) % 0.43/0.63 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.43/0.63 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.43/0.63 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.43/0.63 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.43/0.63 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.43/0.63 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.43/0.63 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.43/0.63 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.43/0.63 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.43/0.63 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.43/0.63 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.43/0.63 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.43/0.63 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.43/0.63 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.43/0.63 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.43/0.63 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.43/0.63 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.43/0.63 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.43/0.63 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.43/0.63 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.43/0.63 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.43/0.63 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.43/0.63 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.43/0.63 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.43/0.63 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 0.43/0.63 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.43/0.63 (assume @p100 (forall @t41 (or @t46 @t72 @t71 @t70))) % 0.43/0.63 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 0.43/0.63 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.43/0.63 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 0.43/0.63 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 0.43/0.63 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 0.43/0.63 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 0.43/0.63 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.43/0.63 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 0.43/0.63 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 0.43/0.63 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t85)))) % 0.43/0.63 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t85)))) % 0.43/0.63 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 0.43/0.63 (assume @p113 @t88) % 0.43/0.63 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.43/0.63 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 0.43/0.63 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 0.43/0.63 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 0.43/0.63 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.43/0.63 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 0.43/0.63 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t93)))) % 0.43/0.63 (assume @p121 (forall @t41 (or @t96 @t62 @t46 @t94 @t92))) % 0.43/0.63 (assume @p122 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 0.43/0.63 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t70))) % 0.43/0.63 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.43/0.63 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.43/0.63 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 0.43/0.63 (assume @p127 (forall @t41 (or @t82 @t103 @t46 @t72 @t70))) % 0.43/0.63 (assume @p128 @t106) % 0.43/0.63 (assume @p129 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.43/0.63 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t107 @t2))))) % 0.43/0.63 (assume @p131 (forall @t41 (or @t96 @t62 @t46 @t108 @t92))) % 0.43/0.63 (assume @p132 (forall @t41 (or @t99 @t62 @t46 @t109 @t92))) % 0.43/0.63 (assume @p133 (forall @t113 (or @t101 @t112 @t62 @t47 (tptp.rearsegP @t111 @t40)))) % 0.43/0.63 (assume @p134 (forall @t113 (or @t102 @t112 @t62 @t47 (tptp.frontsegP @t114 @t40)))) % 0.43/0.63 (assume @p135 (forall @t113 (or @t84 @t112 @t72 @t46 (tptp.memberP @t115 @t2)))) % 0.43/0.63 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t72 (tptp.memberP @t116 @t40)))) % 0.43/0.63 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t72 (tptp.memberP @t114 @t40)))) % 0.43/0.63 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t72 (tptp.memberP @t111 @t40)))) % 0.43/0.63 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.43/0.63 (assume @p140 (forall @t113 (or @t119 @t47 @t62 @t112 (tptp.rearsegP @t110 @t40)))) % 0.43/0.63 (assume @p141 (forall @t113 (or @t119 @t62 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 0.43/0.63 (assume @p142 (forall @t41 (or @t58 (not @t92) @t62 @t47 @t90))) % 0.43/0.63 (assume @p143 (forall @t113 (or @t77 (not (tptp.gt @t40 @t110)) @t117 @t72 @t46 (tptp.gt @t2 @t110)))) % 0.43/0.63 (assume @p144 (forall @t113 (or @t82 @t121 @t117 @t72 @t46 @t120))) % 0.43/0.63 (assume @p145 (forall @t113 (or @t80 (not (tptp.geq @t40 @t110)) @t117 @t72 @t46 (tptp.geq @t2 @t110)))) % 0.43/0.63 (assume @p146 (forall @t113 (or @t47 @t62 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t61))))) % 0.43/0.63 (assume @p147 (forall @t113 (or (not (= @t89 @t114)) @t62 @t47 @t112 @t123))) % 0.43/0.63 (assume @p148 (forall @t113 (or (not (= @t89 @t122)) @t47 @t62 @t112 @t124))) % 0.43/0.63 (assume @p149 (forall @t113 (or @t100 (not (tptp.segmentP @t40 @t110)) @t112 @t62 @t47 (tptp.segmentP @t2 @t110)))) % 0.43/0.63 (assume @p150 (forall @t113 (or @t101 (not (tptp.rearsegP @t40 @t110)) @t112 @t62 @t47 (tptp.rearsegP @t2 @t110)))) % 0.43/0.63 (assume @p151 (forall @t113 (or @t102 (not (tptp.frontsegP @t40 @t110)) @t112 @t62 @t47 (tptp.frontsegP @t2 @t110)))) % 0.43/0.63 (assume @p152 (forall @t113 (or @t75 @t121 @t117 @t72 @t46 @t120))) % 0.43/0.63 (assume @p153 (forall @t113 (or @t82 (not (tptp.leq @t40 @t110)) @t117 @t72 @t46 (tptp.leq @t2 @t110)))) % 0.43/0.63 (assume @p154 (forall @t113 (or @t46 @t62 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t63 @t110))))) % 0.43/0.63 (assume @p155 (forall @t113 (or (not (tptp.memberP @t89 @t110)) @t62 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 0.43/0.63 (assume @p156 (forall @t41 (or (not @t109) (not @t97) @t62 @t46 @t98 @t92))) % 0.43/0.63 (assume @p157 (forall @t41 (or (not @t108) (not @t94) @t62 @t46 @t95 @t92))) % 0.43/0.63 (assume @p158 (forall @t113 (or (not (tptp.memberP @t63 @t110)) @t62 @t46 @t117 @t125 (= @t110 @t2)))) % 0.43/0.63 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.43/0.63 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.43/0.63 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.43/0.63 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.43/0.63 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.43/0.63 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.43/0.63 (assume @p165 (forall @t41 (or @t100 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.43/0.63 (assume @p166 (forall @t41 (or @t118 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.43/0.63 (assume @p167 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 @t124))) % 0.43/0.63 (assume @p168 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 (= @t126 @t40)))) % 0.43/0.63 (assume @p169 (forall @t130 (or @t100 @t112 @t127 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t110) @t40)))) % 0.43/0.63 (assume @p170 @t135) % 0.43/0.63 (assume @p171 (forall @t130 (or @t136 @t127 @t62 @t117 @t46 (tptp.frontsegP @t40 @t126)))) % 0.43/0.63 (assume @p172 (forall @t130 (or (not (= @t137 @t126)) @t112 @t47 @t72 @t127 (tptp.memberP @t126 @t40)))) % 0.43/0.63 (assume @p173 (forall @t130 (or @t136 @t127 @t62 @t117 @t46 @t124))) % 0.43/0.63 (assume @p174 (forall @t41 (or (not (= @t55 @t107)) (not (= @t56 @t93)) @t47 @t62 @t92 @t83 @t54))) % 0.43/0.63 (assume @p175 (forall @t130 (or @t102 (not (= @t110 @t126)) @t62 @t47 @t138 @t117 (tptp.frontsegP @t116 (tptp.cons @t126 @t40))))) % 0.43/0.63 (assume @p176 (forall @t141 (or (not (= (tptp.app @t137 (tptp.cons @t40 @t126)) @t139)) @t127 @t112 @t47 @t72 (not (tptp.duplicatefreeP @t139)) @t140))) % 0.43/0.63 (assume @p177 (forall @t141 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t128)) @t139)) @t127 @t47 @t117 @t72 (not (tptp.equalelemsP @t139)) @t140 @t123))) % 0.43/0.63 (assume @p178 (forall @t146 (or @t145 @t140 @t112 @t47 @t138 @t72 (not (tptp.strictorderedP @t143)) @t144 @t142))) % 0.43/0.63 (assume @p179 (forall @t146 (or @t145 @t140 @t112 @t47 @t138 @t72 (not (tptp.totalorderedP @t143)) @t144 @t147))) % 0.43/0.63 (assume @p180 (forall @t146 (or @t145 @t140 @t112 @t47 @t138 @t72 (not (tptp.strictorderP @t143)) @t144 @t142 (tptp.lt @t126 @t40)))) % 0.43/0.63 (assume @p181 (forall @t146 (or @t145 @t140 @t112 @t47 @t138 @t72 (not (tptp.totalorderP @t143)) @t144 @t147 (tptp.leq @t126 @t40)))) % 0.43/0.63 (assume @p182 (forall @t146 (or @t82 @t103 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t126)) (tptp.cons @t40 @t139)) @t143)) @t140 @t127 @t112 @t72 @t46 (not (tptp.cyclefreeP @t143)) @t144))) % 0.43/0.63 (assume @p183 @t148) % 0.43/0.63 (assume @p184 @t149) % 0.43/0.63 (assume @p185 @t150) % 0.43/0.63 (assume @p186 @t151) % 0.43/0.63 (assume @p187 @t152) % 0.43/0.63 (assume @p188 @t153) % 0.43/0.63 (assume @p189 (or @t155 @t154)) % 0.43/0.63 (assume @p190 @t163) % 0.43/0.63 (assume @p191 (or @t165 @t154)) % 0.43/0.63 (assume @p192 @t167) % 0.43/0.63 (assume @p193 (or @t169 @t168)) % 0.43/0.63 (assume @p194 (or @t169 @t170)) % 0.43/0.63 (assume @p195 (or @t171 @t168)) % 0.43/0.63 (assume @p196 (or @t171 @t170)) % 0.43/0.63 (step @p197 :rule aci_norm :args ((= (or false @t112 @t47 @t62 @t173 @t172) (or @t112 @t47 @t62 @t173 @t172)))) % 0.43/0.63 (step @p198 :rule refl :args (@t172)) % 0.43/0.63 (step @p199 :rule refl :args (@t173)) % 0.43/0.63 (step @p200 :rule refl :args (@t62)) % 0.43/0.63 (step @p201 :rule refl :args (@t47)) % 0.43/0.63 (step @p202 :rule refl :args (@t112)) % 0.43/0.63 (step @p203 :rule evaluate :args ((not true))) % 0.43/0.63 (step @p204 :rule eq-refl :args (@t132)) % 0.43/0.63 (step @p205 :rule cong :premises (@p204) :args (@t174)) % 0.43/0.63 (step @p206 :rule trans :premises (@p205 @p203)) % 0.43/0.63 (step @p207 :rule nary_cong :premises (@p206 @p202 @p201 @p200 @p199 @p198) :args (@t175)) % 0.43/0.63 (step @p208 :rule trans :premises (@p207 @p197)) % 0.43/0.63 (step @p209 :rule cong :premises (@p208) :args ((forall @t113 @t175))) % 0.43/0.63 (step @p210 :rule quant-var-elim-eq :args ((= (forall @t178 @t177) @t175))) % 0.43/0.63 (step @p211 :rule aci_norm :args ((= @t179 @t177))) % 0.43/0.63 (step @p212 :rule cong :premises (@p211) :args (@t180)) % 0.43/0.63 (step @p213 :rule trans :premises (@p212 @p210)) % 0.43/0.63 (step @p214 :rule cong :premises (@p213) :args (@t181)) % 0.43/0.63 (step @p215 :rule quant-merge-prenex :args ((= @t181 (forall @t130 @t179)))) % 0.43/0.63 (step @p216 :rule symm :premises (@p215)) % 0.43/0.63 (step @p217 :rule trans :premises (@p216 @p214)) % 0.43/0.63 (step @p218 :rule trans :premises (@p217 @p209)) % 0.43/0.63 (step @p219 :rule refl :args (@t131)) % 0.43/0.63 (step @p220 :rule refl :args (@t127)) % 0.43/0.63 (step @p221 :rule eq-symm :args (@t132 @t126)) % 0.43/0.63 (step @p222 :rule cong :premises (@p221) :args (@t133)) % 0.43/0.63 (step @p223 :rule nary_cong :premises (@p222 @p202 @p201 @p200 @p220 @p219) :args (@t134)) % 0.43/0.63 (step @p224 :rule cong :premises (@p223) :args (@t135)) % 0.43/0.63 (step @p225 :rule trans :premises (@p224 @p218)) % 0.43/0.63 (step @p226 :rule eq_resolve :premises (@p170 @p225)) % 0.43/0.63 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t182 tptp.sk3 tptp.nil))) % 0.43/0.63 (step @p228 :rule instantiate :premises (@p50) :args (@t183)) % 0.43/0.63 (step @p229 :rule eq-symm :args (@t104 @t2)) % 0.43/0.63 (step @p230 :rule refl :args (@t101)) % 0.43/0.63 (step @p231 :rule nary_cong :premises (@p230 @p200 @p201 @p229) :args (@t105)) % 0.43/0.63 (step @p232 :rule cong :premises (@p231) :args (@t106)) % 0.43/0.63 (step @p233 :rule eq_resolve :premises (@p128 @p232)) % 0.43/0.63 (step @p234 :rule instantiate :premises (@p233) :args (@t183)) % 0.43/0.63 (step @p235 :rule aci_norm :args ((= (or false @t184 @t62 @t62) (or @t184 @t62)))) % 0.43/0.63 (step @p236 :rule refl :args (@t184)) % 0.43/0.63 (step @p237 :rule eq-refl :args (@t40)) % 0.43/0.63 (step @p238 :rule cong :premises (@p237) :args (@t185)) % 0.43/0.63 (step @p239 :rule trans :premises (@p238 @p203)) % 0.43/0.63 (step @p240 :rule nary_cong :premises (@p239 @p236 @p200 @p200) :args (@t186)) % 0.43/0.63 (step @p241 :rule trans :premises (@p240 @p235)) % 0.43/0.63 (step @p242 :rule cong :premises (@p241) :args ((forall @t187 @t186))) % 0.43/0.63 (step @p243 :rule quant-var-elim-eq :args ((= (forall @t4 @t188) @t186))) % 0.43/0.63 (step @p244 :rule aci_norm :args ((= @t87 @t188))) % 0.43/0.63 (step @p245 :rule cong :premises (@p244) :args (@t189)) % 0.43/0.63 (step @p246 :rule trans :premises (@p245 @p243)) % 0.43/0.63 (step @p247 :rule cong :premises (@p246) :args (@t190)) % 0.43/0.63 (step @p248 :rule quant-merge-prenex :args ((= @t190 @t191))) % 0.43/0.63 (step @p249 :rule symm :premises (@p248)) % 0.43/0.63 (step @p250 :rule quant_var_reordering :args ((= @t88 @t191))) % 0.43/0.63 (step @p251 :rule trans :premises (@p250 @p249 @p247)) % 0.43/0.63 (step @p252 :rule trans :premises (@p251 @p242)) % 0.43/0.63 (step @p253 :rule eq_resolve :premises (@p113 @p252)) % 0.43/0.63 (step @p254 :rule instantiate :premises (@p253) :args (@t192)) % 0.43/0.63 (step @p255 :rule cnf_or_pos :args (@t196)) % 0.43/0.63 (step @p256 :rule reordering :premises (@p255) :args ((or @t193 @t195 (not @t196)))) % 0.43/0.63 (step @p257 :rule chain_m_resolution :premises (@p256 @p184 @p254) :args (@t195 @t197 (@list @t149 @t196))) % 0.43/0.63 (step @p258 :rule refl :args (@t198)) % 0.43/0.63 (step @p259 :rule bool-double-not-elim :args (@t194)) % 0.43/0.63 (step @p260 :rule refl :args (@t199)) % 0.43/0.63 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args ((or @t199 (not @t195) @t198))) % 0.43/0.63 (assume-push @p527 @t155) % 0.43/0.63 (assume-push @p528 @t195) % 0.43/0.63 (assume-push @p529 @t195) % 0.43/0.63 (assume-push @p530 @t155) % 0.43/0.63 (step @p266 :rule false_intro :premises (@p257)) % 0.43/0.63 (step @p267 :rule refl :args (tptp.sk2)) % 0.43/0.63 (step @p268 :rule cong :premises (@p267 @p527) :args (@t154)) % 0.43/0.63 (step @p269 :rule trans :premises (@p268 @p266)) % 0.43/0.63 (step @p270 :rule false_elim :premises (@p269)) % 0.43/0.63 (step-pop @p531 :rule scope :premises (@p270)) % 0.43/0.63 (step-pop @p532 :rule scope :premises (@p531)) % 0.43/0.63 (step @p271 :rule process_scope :premises (@p532) :args (@t198)) % 0.43/0.63 (step @p274 :rule and_intro :premises (@p257 @p527)) % 0.43/0.63 (step @p275 :rule modus_ponens :premises (@p274 @p271)) % 0.43/0.63 (step-pop @p533 :rule scope :premises (@p275)) % 0.43/0.63 (step-pop @p534 :rule scope :premises (@p533)) % 0.43/0.63 (step @p276 :rule process_scope :premises (@p534) :args (@t198)) % 0.43/0.63 (step @p279 :rule implies_elim :premises (@p276)) % 0.43/0.63 (step @p280 :rule cnf_and_neg :args (@t200)) % 0.43/0.63 (step @p281 :rule resolution :premises (@p280 @p279) :args (true @t200)) % 0.43/0.63 (step @p282 :rule eq_resolve :premises (@p281 @p261)) % 0.43/0.63 (step @p283 :rule reordering :premises (@p282) :args ((or @t199 @t198 @t194))) % 0.43/0.63 (step @p284 :rule reordering :premises (@p191) :args ((or @t154 @t165))) % 0.43/0.63 (step @p285 :rule instantiate :premises (@p80) :args (@t201)) % 0.43/0.63 (step @p286 :rule cnf_or_pos :args (@t205)) % 0.43/0.63 (step @p287 :rule reordering :premises (@p286) :args ((or @t164 @t202 @t204 (not @t205)))) % 0.43/0.63 (step @p288 :rule refl :args (@t206)) % 0.43/0.63 (step @p289 :rule bool-double-not-elim :args (@t164)) % 0.43/0.63 (step @p290 :rule refl :args (@t207)) % 0.43/0.63 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288) :args ((or @t207 (not @t165) @t206))) % 0.43/0.63 (assume-push @p535 @t153) % 0.43/0.63 (assume-push @p536 @t165) % 0.43/0.63 (assume-push @p537 @t165) % 0.43/0.63 (assume-push @p538 @t153) % 0.43/0.63 (step @p296 :rule false_intro :premises (@p536)) % 0.43/0.63 (step @p297 :rule symm :premises (@p188)) % 0.43/0.63 (step @p298 :rule refl :args (tptp.nil)) % 0.43/0.63 (step @p299 :rule cong :premises (@p298 @p297) :args (@t171)) % 0.43/0.63 (step @p300 :rule trans :premises (@p299 @p296)) % 0.43/0.63 (step @p301 :rule false_elim :premises (@p300)) % 0.43/0.63 (step-pop @p539 :rule scope :premises (@p301)) % 0.43/0.63 (step-pop @p540 :rule scope :premises (@p539)) % 0.43/0.63 (step @p302 :rule process_scope :premises (@p540) :args (@t206)) % 0.43/0.63 (step @p305 :rule and_intro :premises (@p536 @p188)) % 0.43/0.63 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 0.43/0.63 (step-pop @p541 :rule scope :premises (@p306)) % 0.43/0.63 (step-pop @p542 :rule scope :premises (@p541)) % 0.43/0.63 (step @p307 :rule process_scope :premises (@p542) :args (@t206)) % 0.43/0.63 (step @p310 :rule implies_elim :premises (@p307)) % 0.43/0.63 (step @p311 :rule cnf_and_neg :args (@t208)) % 0.43/0.63 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t208)) % 0.43/0.63 (step @p313 :rule eq_resolve :premises (@p312 @p291)) % 0.43/0.63 (step @p314 :rule reordering :premises (@p313) :args ((or @t164 @t207 @t206))) % 0.43/0.63 (step @p315 :rule refl :args (@t209)) % 0.43/0.63 (step @p316 :rule bool-double-not-elim :args (@t203)) % 0.43/0.63 (step @p317 :rule refl :args (@t210)) % 0.43/0.63 (step @p318 :rule nary_cong :premises (@p317 @p290 @p260 @p316 @p315) :args ((or @t210 @t207 @t199 (not @t204) @t209))) % 0.43/0.63 (assume-push @p543 @t152) % 0.43/0.63 (assume-push @p544 @t153) % 0.43/0.63 (assume-push @p545 @t155) % 0.43/0.63 (assume-push @p546 @t204) % 0.43/0.63 (assume-push @p547 @t204) % 0.43/0.63 (assume-push @p548 @t155) % 0.43/0.63 (assume-push @p549 @t152) % 0.43/0.63 (assume-push @p550 @t153) % 0.43/0.63 (step @p327 :rule false_intro :premises (@p546)) % 0.43/0.63 (step @p297 :rule symm :premises (@p188)) % 0.43/0.63 (step @p328 :rule symm :premises (@p545)) % 0.43/0.63 (step @p329 :rule symm :premises (@p187)) % 0.43/0.63 (step @p330 :rule trans :premises (@p329 @p328)) % 0.43/0.63 (step @p331 :rule cong :premises (@p330 @p297) :args (@t170)) % 0.43/0.63 (step @p332 :rule trans :premises (@p331 @p327)) % 0.43/0.63 (step @p333 :rule false_elim :premises (@p332)) % 0.43/0.63 (step-pop @p551 :rule scope :premises (@p333)) % 0.43/0.63 (step-pop @p552 :rule scope :premises (@p551)) % 0.43/0.63 (step-pop @p553 :rule scope :premises (@p552)) % 0.43/0.63 (step-pop @p554 :rule scope :premises (@p553)) % 0.43/0.63 (step @p334 :rule process_scope :premises (@p554) :args (@t209)) % 0.43/0.63 (step @p339 :rule and_intro :premises (@p546 @p545 @p187 @p188)) % 0.43/0.63 (step @p340 :rule modus_ponens :premises (@p339 @p334)) % 0.43/0.63 (step-pop @p555 :rule scope :premises (@p340)) % 0.43/0.63 (step-pop @p556 :rule scope :premises (@p555)) % 0.43/0.63 (step-pop @p557 :rule scope :premises (@p556)) % 0.43/0.63 (step-pop @p558 :rule scope :premises (@p557)) % 0.43/0.63 (step @p341 :rule process_scope :premises (@p558) :args (@t209)) % 0.43/0.63 (step @p346 :rule implies_elim :premises (@p341)) % 0.43/0.63 (step @p347 :rule cnf_and_neg :args (@t211)) % 0.43/0.63 (step @p348 :rule resolution :premises (@p347 @p346) :args (true @t211)) % 0.43/0.63 (step @p349 :rule eq_resolve :premises (@p348 @p318)) % 0.43/0.63 (step @p350 :rule reordering :premises (@p349) :args ((or @t210 @t207 @t199 @t209 @t203))) % 0.43/0.63 (step @p351 :rule reordering :premises (@p196) :args ((or @t170 @t171))) % 0.43/0.63 (step @p352 :rule chain_m_resolution :premises (@p351 @p350 @p188 @p187 @p314 @p188 @p287 @p285 @p183 @p284 @p283 @p257) :args (@t199 (@list true false false true false true false false true true true) (@list @t170 @t153 @t152 @t171 @t153 @t203 @t205 @t148 @t164 @t154 @t194))) % 0.43/0.63 (step @p353 :rule refl :args (@t212)) % 0.43/0.63 (step @p354 :rule bool-double-not-elim :args (@t155)) % 0.43/0.63 (step @p355 :rule nary_cong :premises (@p317 @p354 @p353) :args ((or @t210 (not @t199) @t212))) % 0.43/0.63 (assume-push @p559 @t152) % 0.43/0.63 (assume-push @p560 @t199) % 0.43/0.63 (assume-push @p561 @t199) % 0.43/0.63 (assume-push @p562 @t152) % 0.43/0.63 (step @p360 :rule false_intro :premises (@p560)) % 0.43/0.63 (step @p329 :rule symm :premises (@p187)) % 0.43/0.63 (step @p298 :rule refl :args (tptp.nil)) % 0.43/0.63 (step @p361 :rule cong :premises (@p298 @p329) :args (@t169)) % 0.43/0.63 (step @p362 :rule trans :premises (@p361 @p360)) % 0.43/0.63 (step @p363 :rule false_elim :premises (@p362)) % 0.43/0.63 (step-pop @p563 :rule scope :premises (@p363)) % 0.43/0.63 (step-pop @p564 :rule scope :premises (@p563)) % 0.43/0.63 (step @p364 :rule process_scope :premises (@p564) :args (@t212)) % 0.43/0.63 (step @p367 :rule and_intro :premises (@p560 @p187)) % 0.43/0.63 (step @p368 :rule modus_ponens :premises (@p367 @p364)) % 0.43/0.63 (step-pop @p565 :rule scope :premises (@p368)) % 0.43/0.63 (step-pop @p566 :rule scope :premises (@p565)) % 0.43/0.63 (step @p369 :rule process_scope :premises (@p566) :args (@t212)) % 0.43/0.63 (step @p372 :rule implies_elim :premises (@p369)) % 0.43/0.63 (step @p373 :rule cnf_and_neg :args (@t213)) % 0.43/0.63 (step @p374 :rule resolution :premises (@p373 @p372) :args (true @t213)) % 0.43/0.63 (step @p375 :rule eq_resolve :premises (@p374 @p355)) % 0.43/0.63 (step @p376 :rule reordering :premises (@p375) :args ((or @t155 @t210 @t212))) % 0.43/0.63 (step @p377 :rule chain_m_resolution :premises (@p376 @p352 @p187) :args (@t212 (@list true false) (@list @t155 @t152))) % 0.43/0.63 (step @p378 :rule chain_m_resolution :premises (@p194 @p377) :args (@t170 @t214 @t215)) % 0.43/0.63 (step @p379 :rule cnf_or_pos :args (@t220)) % 0.43/0.63 (step @p380 :rule reordering :premises (@p379) :args ((or @t219 @t218 @t209 @t217 (not @t220)))) % 0.43/0.63 (step @p381 :rule chain_m_resolution :premises (@p380 @p185 @p186 @p378 @p234) :args (@t217 @t221 (@list @t150 @t151 @t170 @t220))) % 0.43/0.63 (step @p382 :rule eq-symm :args (@t51 @t2)) % 0.43/0.63 (step @p383 :rule nary_cong :premises (@p201 @p382) :args (@t52)) % 0.43/0.63 (step @p384 :rule cong :premises (@p383) :args (@t53)) % 0.43/0.63 (step @p385 :rule eq_resolve :premises (@p73 @p384)) % 0.43/0.63 (step @p386 :rule instantiate :premises (@p385) :args (@t192)) % 0.43/0.63 (step @p387 :rule cnf_or_pos :args (@t223)) % 0.43/0.63 (step @p388 :rule reordering :premises (@p387) :args ((or @t193 @t222 (not @t223)))) % 0.43/0.63 (step @p389 :rule chain_m_resolution :premises (@p388 @p184 @p386) :args 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(@t163)) % 0.43/0.63 (step @p404 :rule trans :premises (@p403 @p401)) % 0.43/0.63 (step @p405 :rule eq_resolve :premises (@p190 @p404)) % 0.43/0.63 (step @p406 :rule quant-miniscope-or :args ((= (forall @t162 @t234) (or @t165 @t232)))) % 0.43/0.63 (step @p407 :rule aci_norm :args ((= @t166 @t234))) % 0.43/0.63 (step @p408 :rule cong :premises (@p407) :args (@t167)) % 0.43/0.63 (step @p409 :rule trans :premises (@p408 @p406)) % 0.43/0.63 (step @p410 :rule eq_resolve :premises (@p192 @p409)) % 0.43/0.63 (step @p411 :rule instantiate :premises (@p78) :args (@t201)) % 0.43/0.63 (step @p412 :rule cnf_or_pos :args (@t237)) % 0.43/0.63 (step @p413 :rule reordering :premises (@p412) :args ((or @t164 @t202 @t236 (not @t237)))) % 0.43/0.63 (assume-push @p569 @t153) % 0.43/0.63 (assume-push @p570 @t155) % 0.43/0.63 (assume-push @p571 @t224) % 0.43/0.63 (assume-push @p572 @t224) % 0.43/0.63 (assume-push @p573 @t155) % 0.43/0.63 (assume-push @p574 @t153) % 0.43/0.63 (step @p420 :rule true_intro :premises (@p571)) % 0.43/0.63 (step @p421 :rule cong :premises (@p570 @p188) :args (@t235)) % 0.43/0.63 (step @p422 :rule trans :premises (@p421 @p420)) % 0.43/0.63 (step @p423 :rule true_elim :premises (@p422)) % 0.43/0.63 (step-pop @p575 :rule scope :premises (@p423)) % 0.43/0.63 (step-pop @p576 :rule scope :premises (@p575)) % 0.43/0.63 (step-pop @p577 :rule scope :premises (@p576)) % 0.43/0.63 (step @p424 :rule process_scope :premises (@p577) :args (@t235)) % 0.43/0.63 (step @p428 :rule and_intro :premises (@p571 @p570 @p188)) % 0.43/0.63 (step @p429 :rule modus_ponens :premises (@p428 @p424)) % 0.43/0.63 (step-pop @p578 :rule scope :premises (@p429)) % 0.43/0.63 (step-pop @p579 :rule scope :premises (@p578)) % 0.43/0.63 (step-pop @p580 :rule scope :premises (@p579)) % 0.43/0.63 (step @p430 :rule process_scope :premises (@p580) :args (@t235)) % 0.43/0.63 (step @p434 :rule implies_elim :premises (@p430)) % 0.43/0.63 (step @p435 :rule cnf_and_neg :args (@t238)) % 0.43/0.63 (step @p436 :rule resolution :premises (@p435 @p434) :args (true @t238)) % 0.43/0.63 (step @p437 :rule reordering :premises (@p436) :args ((or @t207 @t199 @t235 @t227))) % 0.43/0.63 (step @p438 :rule chain_m_resolution :premises (@p437 @p188 @p413 @p411 @p183 @p410 @p405 @p400 @p395) :args (@t229 (@list false true false false true false true false) (@list @t153 @t235 @t237 @t148 @t164 @t155 @t232 @t224))) % 0.43/0.63 (step @p439 :rule instantiate :premises (@p57) :args (@t201)) % 0.43/0.63 (step @p440 :rule cnf_or_pos :args (@t240)) % 0.43/0.63 (step @p441 :rule reordering :premises (@p440) :args ((or @t202 @t239 (not @t240)))) % 0.43/0.63 (step @p442 :rule chain_m_resolution :premises (@p441 @p183 @p439) :args (@t239 @t197 (@list @t148 @t240))) % 0.43/0.63 (step @p443 :rule true_intro :premises (@p442)) % 0.43/0.63 (step @p297 :rule symm :premises (@p188)) % 0.43/0.63 (step @p444 :rule refl :args (tptp.sk1)) % 0.43/0.63 (step @p445 :rule cong :premises (@p444 @p297) :args (@t225)) % 0.43/0.63 (step @p446 :rule trans :premises (@p445 @p443)) % 0.43/0.63 (step @p447 :rule true_elim :premises (@p446)) % 0.43/0.63 (step @p448 :rule chain_m_resolution :premises (@p193 @p377) :args (@t168 @t214 @t215)) % 0.43/0.63 (step @p449 :rule cnf_or_pos :args (@t229)) % 0.43/0.63 (step @p450 :rule reordering :premises (@p449) :args ((or @t219 @t228 @t227 @t226 (not @t229)))) % 0.43/0.63 (step @p451 :rule chain_m_resolution :premises (@p450 @p185 @p448 @p447 @p438) :args (@t227 @t221 (@list @t150 @t168 @t225 @t229))) % 0.43/0.63 (step @p452 :rule refl :args (@t243)) % 0.43/0.63 (step @p453 :rule refl :args (@t244)) % 0.43/0.63 (step @p454 :rule refl :args (@t245)) % 0.43/0.63 (step @p455 :rule nary_cong :premises (@p317 @p454 @p453 @p390 @p452) :args ((or @t210 @t245 @t244 @t230 @t243))) % 0.43/0.63 (assume-push @p581 @t152) % 0.43/0.63 (assume-push @p582 @t222) % 0.43/0.63 (assume-push @p583 @t217) % 0.43/0.63 (assume-push @p584 @t227) % 0.43/0.63 (assume-push @p585 @t227) % 0.43/0.63 (assume-push @p586 @t222) % 0.43/0.63 (assume-push @p587 @t152) % 0.43/0.63 (assume-push @p588 @t217) % 0.43/0.63 (step @p464 :rule false_intro :premises (@p584)) % 0.43/0.63 (step @p465 :rule refl :args (tptp.sk3)) % 0.43/0.63 (step @p466 :rule symm :premises (@p389)) % 0.43/0.63 (step @p298 :rule refl :args (tptp.nil)) % 0.43/0.63 (step @p329 :rule symm :premises (@p187)) % 0.43/0.63 (step @p467 :rule symm :premises (@p583)) % 0.43/0.63 (step @p468 :rule trans :premises (@p467 @p329)) % 0.43/0.63 (step @p469 :rule cong :premises (@p468 @p298) :args (@t241)) % 0.43/0.63 (step @p470 :rule trans :premises (@p469 @p466)) % 0.43/0.63 (step @p471 :rule cong :premises (@p470 @p465) :args (@t242)) % 0.43/0.63 (step @p472 :rule trans :premises (@p471 @p464)) % 0.43/0.63 (step @p473 :rule false_elim :premises (@p472)) % 0.43/0.63 (step-pop @p589 :rule scope :premises (@p473)) % 0.43/0.63 (step-pop @p590 :rule scope :premises (@p589)) % 0.43/0.63 (step-pop @p591 :rule scope :premises (@p590)) % 0.43/0.63 (step-pop @p592 :rule scope :premises (@p591)) % 0.43/0.63 (step @p474 :rule process_scope :premises (@p592) :args (@t243)) % 0.43/0.63 (step @p479 :rule and_intro :premises (@p584 @p389 @p187 @p583)) % 0.43/0.63 (step @p480 :rule modus_ponens :premises (@p479 @p474)) % 0.43/0.63 (step-pop @p593 :rule scope :premises (@p480)) % 0.43/0.63 (step-pop @p594 :rule scope :premises (@p593)) % 0.43/0.63 (step-pop @p595 :rule scope :premises (@p594)) % 0.43/0.63 (step-pop @p596 :rule scope :premises (@p595)) % 0.43/0.63 (step @p481 :rule process_scope :premises (@p596) :args (@t243)) % 0.43/0.63 (step @p486 :rule implies_elim :premises (@p481)) % 0.43/0.63 (step @p487 :rule cnf_and_neg :args (@t246)) % 0.43/0.63 (step @p488 :rule resolution :premises (@p487 @p486) :args (true @t246)) % 0.43/0.63 (step @p489 :rule eq_resolve :premises (@p488 @p455)) % 0.43/0.63 (step @p490 :rule reordering :premises (@p489) :args ((or @t210 @t224 @t245 @t244 @t243))) % 0.43/0.63 (step @p491 :rule chain_m_resolution :premises (@p490 @p187 @p451 @p389 @p381) :args (@t243 (@list false true false false) (@list @t152 @t224 @t222 @t217))) % 0.43/0.63 (assume-push @p597 @t149) % 0.43/0.63 (assume-push @p598 @t152) % 0.43/0.63 (assume-push @p599 @t222) % 0.43/0.63 (assume-push @p600 @t217) % 0.43/0.63 (assume-push @p601 @t149) % 0.43/0.63 (assume-push @p602 @t222) % 0.43/0.63 (assume-push @p603 @t152) % 0.43/0.63 (assume-push @p604 @t217) % 0.43/0.63 (step @p500 :rule true_intro :premises (@p184)) % 0.43/0.63 (step @p466 :rule symm :premises (@p389)) % 0.43/0.63 (step @p298 :rule refl :args (tptp.nil)) % 0.43/0.63 (step @p329 :rule symm :premises (@p187)) % 0.43/0.63 (step @p501 :rule symm :premises (@p600)) % 0.43/0.63 (step @p502 :rule trans :premises (@p501 @p329)) % 0.43/0.63 (step @p503 :rule cong :premises (@p502 @p298) :args (@t241)) % 0.43/0.63 (step @p504 :rule trans :premises (@p503 @p466)) % 0.43/0.63 (step @p505 :rule cong :premises (@p504) :args (@t247)) % 0.43/0.63 (step @p506 :rule trans :premises (@p505 @p500)) % 0.43/0.63 (step @p507 :rule true_elim :premises (@p506)) % 0.43/0.63 (step-pop @p605 :rule scope :premises (@p507)) % 0.43/0.63 (step-pop @p606 :rule scope :premises (@p605)) % 0.43/0.63 (step-pop @p607 :rule scope :premises (@p606)) % 0.43/0.63 (step-pop @p608 :rule scope :premises (@p607)) % 0.43/0.63 (step @p508 :rule process_scope :premises (@p608) :args (@t247)) % 0.43/0.63 (step @p513 :rule and_intro :premises (@p184 @p389 @p187 @p600)) % 0.43/0.63 (step @p514 :rule modus_ponens :premises (@p513 @p508)) % 0.43/0.63 (step-pop @p609 :rule scope :premises (@p514)) % 0.43/0.63 (step-pop @p610 :rule scope :premises (@p609)) % 0.43/0.63 (step-pop @p611 :rule scope :premises (@p610)) % 0.43/0.63 (step-pop @p612 :rule scope :premises (@p611)) % 0.43/0.63 (step @p515 :rule process_scope :premises (@p612) :args (@t247)) % 0.43/0.63 (step @p520 :rule implies_elim :premises (@p515)) % 0.43/0.63 (step @p521 :rule cnf_and_neg :args (@t248)) % 0.43/0.63 (step @p522 :rule resolution :premises (@p521 @p520) :args (true @t248)) % 0.43/0.63 (step @p523 :rule chain_m_resolution :premises (@p522 @p184 @p187 @p389 @p381) :args (@t247 @t221 (@list @t149 @t152 @t222 @t217))) % 0.43/0.63 (step @p524 :rule cnf_or_pos :args (@t253)) % 0.43/0.63 (step @p525 :rule reordering :premises (@p524) :args ((or @t252 @t219 @t251 @t249 @t242 (not @t253)))) % 0.43/0.63 (step @p526 false :rule chain_m_resolution :premises (@p525 @p523 @p491 @p228 @p227 @p185 @p8) :args (false (@list false true false false false false) (@list @t247 @t242 @t250 @t253 @t150 @t1))) % 0.43/0.63 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------