%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM449+6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:39:27 AM UTC 2026 % Result : Theorem 0.61s 0.87s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM449+6 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:20:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.87 % SZS status Theorem % 0.61/0.87 % SZS output start Proof % 0.61/0.87 ( % 0.61/0.87 (declare-sort $$unsorted 0) % 0.61/0.87 (declare-const tptp.cS2076 $$unsorted) % 0.61/0.87 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.cS1395 $$unsorted) % 0.61/0.87 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.xS $$unsorted) % 0.61/0.87 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.cS2043 $$unsorted) % 0.61/0.87 (declare-const tptp.sz10 $$unsorted) % 0.61/0.87 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.sz00 $$unsorted) % 0.61/0.87 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.87 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.61/0.87 (define @t1 () (@var "W0" $$unsorted)) % 0.61/0.87 (define @t2 () (tptp.aInteger0 @t1)) % 0.61/0.87 (define @t3 () (@list @t1)) % 0.61/0.87 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 0.61/0.87 (define @t5 () (tptp.smndt0 @t1)) % 0.61/0.87 (define @t6 () (@var "W1" $$unsorted)) % 0.61/0.87 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 0.61/0.87 (define @t8 () (tptp.aInteger0 @t6)) % 0.61/0.87 (define @t9 () (and @t2 @t8)) % 0.61/0.87 (define @t10 () (@list @t1 @t6)) % 0.61/0.87 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 0.61/0.87 (define @t12 () (@var "W2" $$unsorted)) % 0.61/0.87 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 0.61/0.87 (define @t14 () (tptp.aInteger0 @t12)) % 0.61/0.87 (define @t15 () (and @t2 @t8 @t14)) % 0.61/0.87 (define @t16 () (@list @t1 @t6 @t12)) % 0.61/0.87 (define @t17 () (tptp.sdtasdt0 @t6 @t12)) % 0.61/0.87 (define @t18 () (tptp.sdtasdt0 @t1 @t12)) % 0.61/0.87 (define @t19 () (tptp.smndt0 tptp.sz10)) % 0.61/0.87 (define @t20 () (= @t6 tptp.sz00)) % 0.61/0.87 (define @t21 () (= @t1 tptp.sz00)) % 0.61/0.87 (define @t22 () (@list @t12)) % 0.61/0.87 (define @t23 () (not @t20)) % 0.61/0.87 (define @t24 () (tptp.aDivisorOf0 @t6 @t1)) % 0.61/0.87 (define @t25 () (@list @t6)) % 0.61/0.87 (define @t26 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12)) % 0.61/0.87 (define @t27 () (not (= @t12 tptp.sz00))) % 0.61/0.87 (define @t28 () (and @t2 @t8 @t14 @t27)) % 0.61/0.87 (define @t29 () (and @t2 @t8 @t23)) % 0.61/0.87 (define @t30 () (@var "W3" $$unsorted)) % 0.61/0.87 (define @t31 () (tptp.aInteger0 @t30)) % 0.61/0.87 (define @t32 () (@list @t1 @t6 @t12 @t30)) % 0.61/0.87 (define @t33 () (= @t1 @t19)) % 0.61/0.87 (define @t34 () (= @t1 tptp.sz10)) % 0.61/0.87 (define @t35 () (tptp.isPrime0 @t6)) % 0.61/0.87 (define @t36 () (tptp.aSet0 @t1)) % 0.61/0.87 (define @t37 () (tptp.aElementOf0 @t6 @t1)) % 0.61/0.87 (define @t38 () (tptp.aElementOf0 @t12 @t1)) % 0.61/0.87 (define @t39 () (tptp.aElementOf0 @t12 @t6)) % 0.61/0.87 (define @t40 () (tptp.aSet0 @t6)) % 0.61/0.87 (define @t41 () (tptp.isFinite0 @t1)) % 0.61/0.87 (define @t42 () (tptp.aElementOf0 @t30 @t6)) % 0.61/0.87 (define @t43 () (tptp.aElementOf0 @t30 @t1)) % 0.61/0.87 (define @t44 () (tptp.aElementOf0 @t30 @t12)) % 0.61/0.87 (define @t45 () (@list @t30)) % 0.61/0.87 (define @t46 () (tptp.aSet0 @t12)) % 0.61/0.87 (define @t47 () (tptp.sdtbsmnsldt0 @t1 @t6)) % 0.61/0.87 (define @t48 () (tptp.aSubsetOf0 @t6 tptp.cS1395)) % 0.61/0.87 (define @t49 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 0.61/0.87 (define @t50 () (and @t49 @t48)) % 0.61/0.87 (define @t51 () (tptp.sdtslmnbsdt0 @t1 @t6)) % 0.61/0.87 (define @t52 () (tptp.sbsmnsldt0 @t1)) % 0.61/0.87 (define @t53 () (tptp.stldt0 @t1)) % 0.61/0.87 (define @t54 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t6)) % 0.61/0.87 (define @t55 () (tptp.isOpen0 @t1)) % 0.61/0.87 (define @t56 () (tptp.isClosed0 @t1)) % 0.61/0.87 (define @t57 () (tptp.isOpen0 @t6)) % 0.61/0.87 (define @t58 () (tptp.isClosed0 @t6)) % 0.61/0.87 (define @t59 () (tptp.isClosed0 @t52)) % 0.61/0.87 (define @t60 () (and @t48 @t58)) % 0.61/0.87 (define @t61 () (forall @t25 (=> @t37 @t60))) % 0.61/0.87 (define @t62 () (and @t36 @t41 @t61)) % 0.61/0.87 (define @t63 () (=> @t62 @t59)) % 0.61/0.87 (define @t64 () (forall @t3 @t63)) % 0.61/0.87 (define @t65 () (and (tptp.aSubsetOf0 @t54 tptp.cS1395) (tptp.isClosed0 @t54))) % 0.61/0.87 (define @t66 () (=> @t29 @t65)) % 0.61/0.87 (define @t67 () (forall @t10 @t66)) % 0.61/0.87 (define @t68 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.61/0.87 (define @t69 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t6)) % 0.61/0.87 (define @t70 () (= @t69 @t1)) % 0.61/0.87 (define @t71 () (tptp.aElementOf0 @t12 @t69)) % 0.61/0.87 (define @t72 () (tptp.sdteqdtlpzmzozddtrp0 @t12 tptp.sz00 @t6)) % 0.61/0.87 (define @t73 () (tptp.smndt0 tptp.sz00)) % 0.61/0.87 (define @t74 () (tptp.sdtpldt0 @t12 @t73)) % 0.61/0.87 (define @t75 () (tptp.aDivisorOf0 @t6 @t74)) % 0.61/0.87 (define @t76 () (tptp.sdtasdt0 @t6 @t30)) % 0.61/0.87 (define @t77 () (and @t31 (= @t76 @t74))) % 0.61/0.87 (define @t78 () (exists @t45 @t77)) % 0.61/0.87 (define @t79 () (or @t78 @t75 @t72)) % 0.61/0.87 (define @t80 () (and @t14 @t79)) % 0.61/0.87 (define @t81 () (=> @t80 @t71)) % 0.61/0.87 (define @t82 () (and @t14 @t78 @t75 @t72)) % 0.61/0.87 (define @t83 () (=> @t71 @t82)) % 0.61/0.87 (define @t84 () (and @t83 @t81)) % 0.61/0.87 (define @t85 () (forall @t22 @t84)) % 0.61/0.87 (define @t86 () (tptp.aSet0 @t69)) % 0.61/0.87 (define @t87 () (and @t86 @t85)) % 0.61/0.87 (define @t88 () (=> @t87 @t70)) % 0.61/0.87 (define @t89 () (and @t8 @t23 @t35 @t88)) % 0.61/0.87 (define @t90 () (exists @t25 @t89)) % 0.61/0.87 (define @t91 () (=> @t90 @t68)) % 0.61/0.87 (define @t92 () (and @t8 @t23 @t35 @t86 @t85 @t70)) % 0.61/0.87 (define @t93 () (exists @t25 @t92)) % 0.61/0.87 (define @t94 () (=> @t68 @t93)) % 0.61/0.87 (define @t95 () (and @t94 @t91)) % 0.61/0.87 (define @t96 () (forall @t3 @t95)) % 0.61/0.87 (define @t97 () (tptp.aSet0 tptp.xS)) % 0.61/0.87 (define @t98 () (tptp.sbsmnsldt0 tptp.xS)) % 0.61/0.87 (define @t99 () (tptp.stldt0 @t98)) % 0.61/0.87 (define @t100 () (tptp.aElementOf0 @t1 @t99)) % 0.61/0.87 (define @t101 () (tptp.aElementOf0 @t1 @t98)) % 0.61/0.87 (define @t102 () (forall @t3 (= @t100 (and @t2 (not @t101))))) % 0.61/0.87 (define @t103 () (tptp.aElementOf0 @t1 @t6)) % 0.61/0.87 (define @t104 () (tptp.aElementOf0 @t6 tptp.xS)) % 0.61/0.87 (define @t105 () (and @t104 @t103)) % 0.61/0.87 (define @t106 () (exists @t25 @t105)) % 0.61/0.87 (define @t107 () (and @t2 @t106)) % 0.61/0.87 (define @t108 () (= @t101 @t107)) % 0.61/0.87 (define @t109 () (forall @t3 @t108)) % 0.61/0.87 (define @t110 () (tptp.aSet0 @t98)) % 0.61/0.87 (define @t111 () (tptp.isFinite0 tptp.xS)) % 0.61/0.87 (define @t112 () (tptp.isClosed0 @t98)) % 0.61/0.87 (define @t113 () (tptp.isOpen0 @t99)) % 0.61/0.87 (define @t114 () (tptp.aSubsetOf0 @t54 @t99)) % 0.61/0.87 (define @t115 () (tptp.aElementOf0 @t12 @t99)) % 0.61/0.87 (define @t116 () (tptp.aElementOf0 @t12 @t54)) % 0.61/0.87 (define @t117 () (forall @t22 (=> @t116 @t115))) % 0.61/0.87 (define @t118 () (or @t117 @t114)) % 0.61/0.87 (define @t119 () (tptp.sdteqdtlpzmzozddtrp0 @t12 @t1 @t6)) % 0.61/0.87 (define @t120 () (tptp.sdtpldt0 @t12 @t5)) % 0.61/0.87 (define @t121 () (tptp.aDivisorOf0 @t6 @t120)) % 0.61/0.87 (define @t122 () (= @t76 @t120)) % 0.61/0.87 (define @t123 () (and @t31 @t122)) % 0.61/0.87 (define @t124 () (exists @t45 @t123)) % 0.61/0.87 (define @t125 () (or @t124 @t121 @t119)) % 0.61/0.87 (define @t126 () (and @t14 @t125)) % 0.61/0.87 (define @t127 () (=> @t126 @t116)) % 0.61/0.87 (define @t128 () (and @t14 @t124 @t121 @t119)) % 0.61/0.87 (define @t129 () (=> @t116 @t128)) % 0.61/0.87 (define @t130 () (and @t129 @t127)) % 0.61/0.87 (define @t131 () (forall @t22 @t130)) % 0.61/0.87 (define @t132 () (tptp.aSet0 @t54)) % 0.61/0.87 (define @t133 () (and @t132 @t131)) % 0.61/0.87 (define @t134 () (=> @t133 @t118)) % 0.61/0.87 (define @t135 () (and @t8 @t23 @t134)) % 0.61/0.87 (define @t136 () (exists @t25 @t135)) % 0.61/0.87 (define @t137 () (=> @t100 @t136)) % 0.61/0.87 (define @t138 () (forall @t3 @t137)) % 0.61/0.87 (define @t139 () (or @t138 @t113)) % 0.61/0.87 (define @t140 () (=> @t102 @t139)) % 0.61/0.87 (define @t141 () (or @t140 @t112)) % 0.61/0.87 (define @t142 () (and @t110 @t109)) % 0.61/0.87 (define @t143 () (=> @t142 @t141)) % 0.61/0.87 (define @t144 () (not @t143)) % 0.61/0.87 (define @t145 () (forall @t25 (or (not @t37) @t60))) % 0.61/0.87 (define @t146 () (not @t145)) % 0.61/0.87 (define @t147 () (not @t41)) % 0.61/0.87 (define @t148 () (not @t36)) % 0.61/0.87 (define @t149 () (or @t148 @t147 @t146)) % 0.61/0.87 (define @t150 () (and @t36 @t41 @t145)) % 0.61/0.87 (define @t151 () (not @t114)) % 0.61/0.87 (define @t152 () (not @t116)) % 0.61/0.87 (define @t153 () (forall @t22 (or @t152 @t115))) % 0.61/0.87 (define @t154 () (not @t153)) % 0.61/0.87 (define @t155 () (@var "BOUND_VARIABLE_8645" $$unsorted)) % 0.61/0.87 (define @t156 () (tptp.sdtpldt0 @t155 @t5)) % 0.61/0.87 (define @t157 () (@var "BOUND_VARIABLE_8647" $$unsorted)) % 0.61/0.87 (define @t158 () (or (not (tptp.aInteger0 @t155)) (and (or (not (tptp.aInteger0 @t157)) (not (= @t156 (tptp.sdtasdt0 @t6 @t157)))) (not (tptp.aDivisorOf0 @t6 @t156)) (not (tptp.sdteqdtlpzmzozddtrp0 @t155 @t1 @t6))) (tptp.aElementOf0 @t155 @t54))) % 0.61/0.87 (define @t159 () (@var "BOUND_VARIABLE_8630" $$unsorted)) % 0.61/0.87 (define @t160 () (tptp.sdtpldt0 @t159 @t5)) % 0.61/0.87 (define @t161 () (not @t31)) % 0.61/0.87 (define @t162 () (or (not (tptp.aElementOf0 @t159 @t54)) (and (tptp.aInteger0 @t159) (not (forall @t45 (or @t161 (not (= @t76 @t160))))) (tptp.aDivisorOf0 @t6 @t160) (tptp.sdteqdtlpzmzozddtrp0 @t159 @t1 @t6)))) % 0.61/0.87 (define @t163 () (and @t132 @t162 @t158 @t154 @t151)) % 0.61/0.87 (define @t164 () (= tptp.sz00 @t6)) % 0.61/0.87 (define @t165 () (not @t8)) % 0.61/0.87 (define @t166 () (or @t165 @t164 @t163)) % 0.61/0.87 (define @t167 () (forall (@list @t6 @t159 @t155 @t157) @t166)) % 0.61/0.87 (define @t168 () (not @t167)) % 0.61/0.87 (define @t169 () (@list @t159 @t155 @t157)) % 0.61/0.87 (define @t170 () (forall @t169 @t166)) % 0.61/0.87 (define @t171 () (forall @t169 @t151)) % 0.61/0.87 (define @t172 () (forall @t169 @t154)) % 0.61/0.87 (define @t173 () (forall (@list @t155 @t157) @t158)) % 0.61/0.87 (define @t174 () (@var "BOUND_VARIABLE_8592" $$unsorted)) % 0.61/0.87 (define @t175 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 0.61/0.87 (define @t176 () (forall @t169 @t158)) % 0.61/0.87 (define @t177 () (forall (@list @t159) @t162)) % 0.61/0.87 (define @t178 () (@var "BOUND_VARIABLE_8556" $$unsorted)) % 0.61/0.87 (define @t179 () (@list @t178)) % 0.61/0.87 (define @t180 () (forall @t169 @t162)) % 0.61/0.87 (define @t181 () (forall @t169 @t132)) % 0.61/0.87 (define @t182 () (and @t181 @t180 @t176 @t172 @t171)) % 0.61/0.87 (define @t183 () (forall @t169 @t163)) % 0.61/0.87 (define @t184 () (or @t165 @t164 @t183)) % 0.61/0.87 (define @t185 () (tptp.aElementOf0 @t175 @t54)) % 0.61/0.87 (define @t186 () (not (tptp.sdteqdtlpzmzozddtrp0 @t175 @t1 @t6))) % 0.61/0.87 (define @t187 () (tptp.sdtpldt0 @t175 @t5)) % 0.61/0.87 (define @t188 () (not (tptp.aDivisorOf0 @t6 @t187))) % 0.61/0.87 (define @t189 () (tptp.sdtasdt0 @t6 @t174)) % 0.61/0.87 (define @t190 () (not (tptp.aInteger0 @t174))) % 0.61/0.87 (define @t191 () (not (tptp.aInteger0 @t175))) % 0.61/0.87 (define @t192 () (@list @t175 @t174)) % 0.61/0.87 (define @t193 () (forall @t192 (or @t191 (and (or @t190 (not (= @t187 @t189))) @t188 @t186) @t185))) % 0.61/0.87 (define @t194 () (tptp.sdtpldt0 @t178 @t5)) % 0.61/0.87 (define @t195 () (forall (@list @t178) (or (not (tptp.aElementOf0 @t178 @t54)) (and (tptp.aInteger0 @t178) (not (forall @t45 (or @t161 (not (= @t76 @t194))))) (tptp.aDivisorOf0 @t6 @t194) (tptp.sdteqdtlpzmzozddtrp0 @t178 @t1 @t6))))) % 0.61/0.87 (define @t196 () (and @t132 @t195 @t193 @t154 @t151)) % 0.61/0.87 (define @t197 () (and @t132 @t195 @t193)) % 0.61/0.87 (define @t198 () (or @t153 @t114)) % 0.61/0.87 (define @t199 () (=> @t197 @t198)) % 0.61/0.87 (define @t200 () (not @t199)) % 0.61/0.87 (define @t201 () (not @t164)) % 0.61/0.87 (define @t202 () (not @t201)) % 0.61/0.87 (define @t203 () (or @t165 @t202 @t200)) % 0.61/0.87 (define @t204 () (and @t8 @t201 @t199)) % 0.61/0.87 (define @t205 () (forall @t25 (not @t204))) % 0.61/0.87 (define @t206 () (not @t205)) % 0.61/0.87 (define @t207 () (not (= @t189 @t187))) % 0.61/0.87 (define @t208 () (or @t190 @t207)) % 0.61/0.87 (define @t209 () (and @t208 @t188 @t186)) % 0.61/0.87 (define @t210 () (or @t191 @t209 @t185)) % 0.61/0.87 (define @t211 () (forall @t192 @t210)) % 0.61/0.87 (define @t212 () (@list @t174)) % 0.61/0.87 (define @t213 () (forall @t212 @t210)) % 0.61/0.87 (define @t214 () (@list @t175)) % 0.61/0.87 (define @t215 () (forall @t212 @t186)) % 0.61/0.87 (define @t216 () (forall @t212 @t188)) % 0.61/0.87 (define @t217 () (forall @t212 @t208)) % 0.61/0.87 (define @t218 () (@list @t30)) % 0.61/0.87 (define @t219 () (and @t217 @t216 @t215)) % 0.61/0.87 (define @t220 () (forall @t212 @t209)) % 0.61/0.87 (define @t221 () (or @t191 @t220 @t185)) % 0.61/0.87 (define @t222 () (forall @t214 (or @t191 (and (forall @t45 (or @t161 (not (= @t76 @t187)))) @t188 @t186) @t185))) % 0.61/0.87 (define @t223 () (not @t119)) % 0.61/0.87 (define @t224 () (not @t121)) % 0.61/0.87 (define @t225 () (forall @t45 (or @t161 (not @t122)))) % 0.61/0.87 (define @t226 () (and @t225 @t224 @t223)) % 0.61/0.87 (define @t227 () (not @t14)) % 0.61/0.87 (define @t228 () (or @t227 @t226 @t116)) % 0.61/0.87 (define @t229 () (forall @t22 @t228)) % 0.61/0.87 (define @t230 () (@list @t12)) % 0.61/0.87 (define @t231 () (not @t225)) % 0.61/0.87 (define @t232 () (and @t14 @t231 @t121 @t119)) % 0.61/0.87 (define @t233 () (or @t152 @t232)) % 0.61/0.87 (define @t234 () (forall @t22 @t233)) % 0.61/0.87 (define @t235 () (and @t234 @t229)) % 0.61/0.87 (define @t236 () (not @t231)) % 0.61/0.87 (define @t237 () (and @t236 @t224 @t223)) % 0.61/0.87 (define @t238 () (or @t231 @t121 @t119)) % 0.61/0.87 (define @t239 () (and @t14 @t238)) % 0.61/0.87 (define @t240 () (and (=> @t116 @t232) (=> @t239 @t116))) % 0.61/0.87 (define @t241 () (forall @t45 (not @t123))) % 0.61/0.87 (define @t242 () (not @t241)) % 0.61/0.87 (define @t243 () (forall @t25 (not @t105))) % 0.61/0.87 (define @t244 () (not @t243)) % 0.61/0.87 (define @t245 () (forall @t25 (or (not @t104) @t60))) % 0.61/0.87 (define @t246 () (not @t245)) % 0.61/0.87 (define @t247 () (not @t111)) % 0.61/0.87 (define @t248 () (not @t97)) % 0.61/0.87 (define @t249 () (or @t248 @t247 @t246 @t112)) % 0.61/0.87 (define @t250 () (@quantifiers_skolemize @t245 0)) % 0.61/0.87 (define @t251 () (tptp.isClosed0 @t250)) % 0.61/0.87 (define @t252 () (tptp.aSubsetOf0 @t250 tptp.cS1395)) % 0.61/0.87 (define @t253 () (and @t252 @t251)) % 0.61/0.87 (define @t254 () (tptp.aElementOf0 @t250 tptp.xS)) % 0.61/0.87 (define @t255 () (not @t254)) % 0.61/0.87 (define @t256 () (or @t255 @t253)) % 0.61/0.87 (define @t257 () (@list true)) % 0.61/0.87 (define @t258 () (@list @t256)) % 0.61/0.87 (define @t259 () (not @t2)) % 0.61/0.87 (define @t260 () (or @t259 @t165 @t202)) % 0.61/0.87 (define @t261 () (and @t2 @t8 @t201)) % 0.61/0.87 (define @t262 () (@var "BOUND_VARIABLE_8291" $$unsorted)) % 0.61/0.87 (define @t263 () (tptp.aElementOf0 @t262 @t69)) % 0.61/0.87 (define @t264 () (not (tptp.sdteqdtlpzmzozddtrp0 @t262 tptp.sz00 @t6))) % 0.61/0.87 (define @t265 () (tptp.sdtpldt0 @t262 @t73)) % 0.61/0.87 (define @t266 () (not (tptp.aDivisorOf0 @t6 @t265))) % 0.61/0.87 (define @t267 () (@var "BOUND_VARIABLE_8325" $$unsorted)) % 0.61/0.87 (define @t268 () (tptp.sdtasdt0 @t6 @t267)) % 0.61/0.87 (define @t269 () (not (tptp.aInteger0 @t267))) % 0.61/0.87 (define @t270 () (not (tptp.aInteger0 @t262))) % 0.61/0.87 (define @t271 () (@list @t262 @t267)) % 0.61/0.87 (define @t272 () (forall @t271 (or @t270 (and (or @t269 (not (= @t265 @t268))) @t266 @t264) @t263))) % 0.61/0.87 (define @t273 () (not @t272)) % 0.61/0.87 (define @t274 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 0.61/0.87 (define @t275 () (tptp.sdteqdtlpzmzozddtrp0 @t274 tptp.sz00 @t6)) % 0.61/0.87 (define @t276 () (tptp.sdtpldt0 @t274 @t73)) % 0.61/0.87 (define @t277 () (tptp.aDivisorOf0 @t6 @t276)) % 0.61/0.87 (define @t278 () (tptp.aInteger0 @t274)) % 0.61/0.87 (define @t279 () (not (tptp.aElementOf0 @t274 @t69))) % 0.61/0.87 (define @t280 () (@list @t274)) % 0.61/0.87 (define @t281 () (forall @t280 (or @t279 (and @t278 (not (forall @t45 (or @t161 (not (= @t76 @t276))))) @t277 @t275)))) % 0.61/0.87 (define @t282 () (not @t281)) % 0.61/0.87 (define @t283 () (not @t86)) % 0.61/0.87 (define @t284 () (not @t35)) % 0.61/0.87 (define @t285 () (forall @t25 (or @t165 @t164 @t284 @t283 (not (= @t69 @t250)) @t282 @t273))) % 0.61/0.87 (define @t286 () (@quantifiers_skolemize @t285 0)) % 0.61/0.87 (define @t287 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 0.61/0.87 (define @t288 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t287)) % 0.61/0.87 (define @t289 () (@var "BOUND_VARIABLE_8431" $$unsorted)) % 0.61/0.87 (define @t290 () (not (= @t288 @t289))) % 0.61/0.87 (define @t291 () (@var "BOUND_VARIABLE_8461" $$unsorted)) % 0.61/0.87 (define @t292 () (tptp.sdtpldt0 @t291 @t73)) % 0.61/0.87 (define @t293 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 0.61/0.87 (define @t294 () (or (not (tptp.aInteger0 @t291)) (and (or (not (tptp.aInteger0 @t293)) (not (= @t292 (tptp.sdtasdt0 @t287 @t293)))) (not (tptp.aDivisorOf0 @t287 @t292)) (not (tptp.sdteqdtlpzmzozddtrp0 @t291 tptp.sz00 @t287))) (tptp.aElementOf0 @t291 @t288))) % 0.61/0.87 (define @t295 () (@var "BOUND_VARIABLE_8459" $$unsorted)) % 0.61/0.87 (define @t296 () (tptp.sdtpldt0 @t295 @t73)) % 0.61/0.87 (define @t297 () (or (not (tptp.aElementOf0 @t295 @t288)) (and (tptp.aInteger0 @t295) (not (forall @t45 (or @t161 (not (= (tptp.sdtasdt0 @t287 @t30) @t296))))) (tptp.aDivisorOf0 @t287 @t296) (tptp.sdteqdtlpzmzozddtrp0 @t295 tptp.sz00 @t287)))) % 0.61/0.87 (define @t298 () (tptp.aSet0 @t288)) % 0.61/0.87 (define @t299 () (and @t298 @t297 @t294 @t290)) % 0.61/0.87 (define @t300 () (not (tptp.isPrime0 @t287))) % 0.61/0.87 (define @t301 () (= tptp.sz00 @t287)) % 0.61/0.87 (define @t302 () (not (tptp.aInteger0 @t287))) % 0.61/0.87 (define @t303 () (tptp.aElementOf0 @t289 tptp.xS)) % 0.61/0.87 (define @t304 () (or @t303 @t302 @t301 @t300 @t299)) % 0.61/0.87 (define @t305 () (or @t302 @t301 @t300 @t299)) % 0.61/0.87 (define @t306 () (or @t305 @t303)) % 0.61/0.87 (define @t307 () (forall (@list @t289 @t287 @t295 @t291 @t293) @t306)) % 0.61/0.87 (define @t308 () (@list @t287 @t295 @t291 @t293)) % 0.61/0.87 (define @t309 () (forall @t308 @t306)) % 0.61/0.87 (define @t310 () (@list @t289)) % 0.61/0.87 (define @t311 () (forall @t308 @t305)) % 0.61/0.87 (define @t312 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 0.61/0.87 (define @t313 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 0.61/0.87 (define @t314 () (@var "BOUND_VARIABLE_8371" $$unsorted)) % 0.61/0.87 (define @t315 () (or @t311 @t303)) % 0.61/0.87 (define @t316 () (tptp.sdtpldt0 @t313 @t73)) % 0.61/0.87 (define @t317 () (or (not (tptp.aInteger0 @t313)) (and (or (not (tptp.aInteger0 @t312)) (not (= @t316 (tptp.sdtasdt0 @t6 @t312)))) (not (tptp.aDivisorOf0 @t6 @t316)) (not (tptp.sdteqdtlpzmzozddtrp0 @t313 tptp.sz00 @t6))) (tptp.aElementOf0 @t313 @t69))) % 0.61/0.87 (define @t318 () (tptp.sdtpldt0 @t314 @t73)) % 0.61/0.87 (define @t319 () (or (not (tptp.aElementOf0 @t314 @t69)) (and (tptp.aInteger0 @t314) (not (forall @t45 (or @t161 (not (= @t76 @t318))))) (tptp.aDivisorOf0 @t6 @t318) (tptp.sdteqdtlpzmzozddtrp0 @t314 tptp.sz00 @t6)))) % 0.61/0.87 (define @t320 () (@list @t6 @t314 @t313 @t312)) % 0.61/0.87 (define @t321 () (not (= @t289 @t69))) % 0.61/0.87 (define @t322 () (and @t86 @t319 @t317 @t321)) % 0.61/0.87 (define @t323 () (or @t165 @t164 @t284 @t322)) % 0.61/0.87 (define @t324 () (forall @t320 @t323)) % 0.61/0.87 (define @t325 () (or @t324 @t303)) % 0.61/0.87 (define @t326 () (forall @t310 @t325)) % 0.61/0.87 (define @t327 () (@var "BOUND_VARIABLE_8419" $$unsorted)) % 0.61/0.87 (define @t328 () (not (= @t327 @t69))) % 0.61/0.87 (define @t329 () (or @t165 @t164 @t284 @t283 @t328 @t282 @t273)) % 0.61/0.87 (define @t330 () (forall @t25 @t329)) % 0.61/0.87 (define @t331 () (not @t330)) % 0.61/0.87 (define @t332 () (not (tptp.aElementOf0 @t327 tptp.xS))) % 0.61/0.87 (define @t333 () (or @t332 @t331)) % 0.61/0.87 (define @t334 () (forall (@list @t327) @t333)) % 0.61/0.87 (define @t335 () (= @t1 @t69)) % 0.61/0.87 (define @t336 () (not @t335)) % 0.61/0.87 (define @t337 () (and @t86 @t319 @t317 @t336)) % 0.61/0.87 (define @t338 () (or @t165 @t164 @t284 @t337)) % 0.61/0.87 (define @t339 () (forall @t320 @t338)) % 0.61/0.87 (define @t340 () (or @t339 @t68)) % 0.61/0.87 (define @t341 () (forall @t3 @t340)) % 0.61/0.87 (define @t342 () (@list @t1)) % 0.61/0.87 (define @t343 () (not (forall @t25 (or @t165 @t164 @t284 @t283 @t336 @t282 @t273)))) % 0.61/0.87 (define @t344 () (or (not @t68) @t343)) % 0.61/0.87 (define @t345 () (forall @t3 @t344)) % 0.61/0.87 (define @t346 () (and @t345 @t341)) % 0.61/0.87 (define @t347 () (not @t339)) % 0.61/0.87 (define @t348 () (and (=> @t68 @t343) (=> @t347 @t68))) % 0.61/0.87 (define @t349 () (@list @t314 @t313 @t312)) % 0.61/0.87 (define @t350 () (forall @t349 @t338)) % 0.61/0.87 (define @t351 () (forall @t349 @t336)) % 0.61/0.87 (define @t352 () (forall (@list @t313 @t312) @t317)) % 0.61/0.87 (define @t353 () (forall @t349 @t317)) % 0.61/0.87 (define @t354 () (forall (@list @t314) @t319)) % 0.61/0.87 (define @t355 () (@list @t274)) % 0.61/0.87 (define @t356 () (forall @t349 @t319)) % 0.61/0.87 (define @t357 () (forall @t349 @t86)) % 0.61/0.87 (define @t358 () (and @t357 @t356 @t353 @t351)) % 0.61/0.87 (define @t359 () (forall @t349 @t337)) % 0.61/0.87 (define @t360 () (or @t165 @t164 @t284 @t359)) % 0.61/0.87 (define @t361 () (and @t86 @t281 @t272 @t336)) % 0.61/0.87 (define @t362 () (and @t86 @t281 @t272)) % 0.61/0.87 (define @t363 () (=> @t362 @t335)) % 0.61/0.87 (define @t364 () (not @t363)) % 0.61/0.87 (define @t365 () (or @t165 @t202 @t284 @t364)) % 0.61/0.87 (define @t366 () (and @t8 @t201 @t35 @t363)) % 0.61/0.87 (define @t367 () (forall @t25 (not @t366))) % 0.61/0.87 (define @t368 () (not @t367)) % 0.61/0.87 (define @t369 () (and @t281 @t272)) % 0.61/0.87 (define @t370 () (not (= @t268 @t265))) % 0.61/0.87 (define @t371 () (or @t269 @t370)) % 0.61/0.87 (define @t372 () (and @t371 @t266 @t264)) % 0.61/0.87 (define @t373 () (or @t270 @t372 @t263)) % 0.61/0.87 (define @t374 () (forall @t271 @t373)) % 0.61/0.87 (define @t375 () (@list @t267)) % 0.61/0.87 (define @t376 () (forall @t375 @t373)) % 0.61/0.87 (define @t377 () (@list @t262)) % 0.61/0.87 (define @t378 () (forall @t375 @t264)) % 0.61/0.87 (define @t379 () (forall @t375 @t266)) % 0.61/0.87 (define @t380 () (forall @t375 @t371)) % 0.61/0.87 (define @t381 () (and @t380 @t379 @t378)) % 0.61/0.87 (define @t382 () (forall @t375 @t372)) % 0.61/0.87 (define @t383 () (or @t270 @t382 @t263)) % 0.61/0.87 (define @t384 () (not (= @t265 @t76))) % 0.61/0.87 (define @t385 () (or @t161 @t384)) % 0.61/0.87 (define @t386 () (forall @t45 @t385)) % 0.61/0.87 (define @t387 () (and @t386 @t266 @t264)) % 0.61/0.87 (define @t388 () (or @t270 @t387 @t263)) % 0.61/0.87 (define @t389 () (forall @t377 @t388)) % 0.61/0.87 (define @t390 () (not (= @t276 @t76))) % 0.61/0.87 (define @t391 () (or @t161 @t390)) % 0.61/0.87 (define @t392 () (forall @t45 @t391)) % 0.61/0.87 (define @t393 () (not @t392)) % 0.61/0.87 (define @t394 () (and @t278 @t393 @t277 @t275)) % 0.61/0.87 (define @t395 () (or @t279 @t394)) % 0.61/0.87 (define @t396 () (forall @t280 @t395)) % 0.61/0.87 (define @t397 () (not @t72)) % 0.61/0.87 (define @t398 () (not @t75)) % 0.61/0.87 (define @t399 () (= @t74 @t76)) % 0.61/0.87 (define @t400 () (forall @t45 (or @t161 (not @t399)))) % 0.61/0.87 (define @t401 () (and @t400 @t398 @t397)) % 0.61/0.87 (define @t402 () (or @t227 @t401 @t71)) % 0.61/0.87 (define @t403 () (forall @t22 @t402)) % 0.61/0.87 (define @t404 () (not @t400)) % 0.61/0.87 (define @t405 () (and @t14 @t404 @t75 @t72)) % 0.61/0.87 (define @t406 () (or (not @t71) @t405)) % 0.61/0.87 (define @t407 () (forall @t22 @t406)) % 0.61/0.87 (define @t408 () (and @t407 @t403)) % 0.61/0.87 (define @t409 () (not @t404)) % 0.61/0.87 (define @t410 () (and @t409 @t398 @t397)) % 0.61/0.87 (define @t411 () (or @t404 @t75 @t72)) % 0.61/0.87 (define @t412 () (and @t14 @t411)) % 0.61/0.87 (define @t413 () (and (=> @t71 @t405) (=> @t412 @t71))) % 0.61/0.87 (define @t414 () (and @t31 @t399)) % 0.61/0.87 (define @t415 () (forall @t45 (not @t414))) % 0.61/0.87 (define @t416 () (not @t415)) % 0.61/0.87 (define @t417 () (or @t165 @t202 @t284 @t283 @t336 @t282 @t273)) % 0.61/0.87 (define @t418 () (and @t8 @t201 @t35 @t86 @t335 @t281 @t272)) % 0.61/0.87 (define @t419 () (forall @t25 (not @t418))) % 0.61/0.87 (define @t420 () (not @t419)) % 0.61/0.87 (define @t421 () (not @t285)) % 0.61/0.87 (define @t422 () (or @t255 @t421)) % 0.61/0.87 (define @t423 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t286)) % 0.61/0.87 (define @t424 () (not (forall @t271 (or @t270 (and (or @t269 (not (= @t265 (tptp.sdtasdt0 @t286 @t267)))) (not (tptp.aDivisorOf0 @t286 @t265)) (not (tptp.sdteqdtlpzmzozddtrp0 @t262 tptp.sz00 @t286))) (tptp.aElementOf0 @t262 @t423))))) % 0.61/0.87 (define @t425 () (tptp.sdteqdtlpzmzozddtrp0 @t274 tptp.sz00 @t286)) % 0.61/0.87 (define @t426 () (tptp.aDivisorOf0 @t286 @t276)) % 0.61/0.87 (define @t427 () (tptp.sdtasdt0 @t286 @t30)) % 0.61/0.87 (define @t428 () (not (tptp.aElementOf0 @t274 @t423))) % 0.61/0.87 (define @t429 () (= @t250 @t423)) % 0.61/0.87 (define @t430 () (not @t429)) % 0.61/0.87 (define @t431 () (not (tptp.aSet0 @t423))) % 0.61/0.87 (define @t432 () (not (tptp.isPrime0 @t286))) % 0.61/0.87 (define @t433 () (= tptp.sz00 @t286)) % 0.61/0.87 (define @t434 () (tptp.aInteger0 @t286)) % 0.61/0.87 (define @t435 () (not @t434)) % 0.61/0.87 (define @t436 () (or @t435 @t433 @t432 @t431 @t430 (not (forall @t280 (or @t428 (and @t278 (not (forall @t45 (or @t161 (not (= @t276 @t427))))) @t426 @t425)))) @t424)) % 0.61/0.87 (define @t437 () (not @t436)) % 0.61/0.87 (define @t438 () (not (= @t427 @t276))) % 0.61/0.87 (define @t439 () (or @t161 @t438)) % 0.61/0.87 (define @t440 () (forall @t45 @t439)) % 0.61/0.87 (define @t441 () (not @t440)) % 0.61/0.87 (define @t442 () (and @t278 @t441 @t426 @t425)) % 0.61/0.87 (define @t443 () (or @t428 @t442)) % 0.61/0.87 (define @t444 () (forall @t280 @t443)) % 0.61/0.87 (define @t445 () (not @t444)) % 0.61/0.87 (define @t446 () (not (= @t423 @t250))) % 0.61/0.87 (define @t447 () (or @t435 @t433 @t432 @t431 @t446 @t445 @t424)) % 0.61/0.87 (define @t448 () (not @t447)) % 0.61/0.87 (define @t449 () (@list @t436)) % 0.61/0.87 (define @t450 () (tptp.isClosed0 @t423)) % 0.61/0.87 (define @t451 () (tptp.aSubsetOf0 @t423 tptp.cS1395)) % 0.61/0.87 (define @t452 () (and @t451 @t450)) % 0.61/0.87 (define @t453 () (not @t4)) % 0.61/0.87 (define @t454 () (or @t453 @t435 @t433 @t452)) % 0.61/0.87 (define @t455 () (not @t452)) % 0.61/0.87 (define @t456 () (@list false)) % 0.61/0.87 (define @t457 () (@list @t452)) % 0.61/0.87 (assume @p1 (forall @t3 (=> @t2 true))) % 0.61/0.87 (assume @p2 @t4) % 0.61/0.87 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.61/0.87 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t5)))) % 0.61/0.87 (assume @p5 (forall @t10 (=> @t9 (tptp.aInteger0 @t7)))) % 0.61/0.87 (assume @p6 (forall @t10 (=> @t9 (tptp.aInteger0 @t11)))) % 0.61/0.87 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t1 @t13) (tptp.sdtpldt0 @t7 @t12))))) % 0.61/0.87 (assume @p8 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 0.61/0.87 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.61/0.87 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 0.61/0.87 (assume @p11 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtasdt0 @t11 @t12))))) % 0.61/0.87 (assume @p12 (forall @t10 (=> @t9 (= @t11 (tptp.sdtasdt0 @t6 @t1))))) % 0.61/0.87 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.61/0.87 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t18)) (= (tptp.sdtasdt0 @t7 @t12) (tptp.sdtpldt0 @t18 @t17)))))) % 0.61/0.87 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.61/0.87 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t19 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t19)))))) % 0.61/0.87 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t21 @t20))))) % 0.61/0.87 (assume @p18 (forall @t3 (=> @t2 (forall @t25 (= @t24 (and @t8 @t23 (exists @t22 (and @t14 (= @t17 @t1))))))))) % 0.61/0.87 (assume @p19 (forall @t16 (=> @t28 (= @t26 (tptp.aDivisorOf0 @t12 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6))))))) % 0.61/0.87 (assume @p20 (forall @t10 (=> @t29 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t6)))) % 0.61/0.87 (assume @p21 (forall @t16 (=> @t28 (=> @t26 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t1 @t12))))) % 0.61/0.87 (assume @p22 (forall @t32 (=> (and @t2 @t8 @t14 @t27 @t31) (=> (and @t26 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t30 @t12)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t30 @t12))))) % 0.61/0.87 (assume @p23 (forall @t32 (=> (and @t2 @t8 @t14 @t27 @t31 (not (= @t30 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 (tptp.sdtasdt0 @t12 @t30)) (and @t26 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t30)))))) % 0.61/0.87 (assume @p24 (forall @t3 (=> (and @t2 (not @t21)) (=> (tptp.isPrime0 @t1) true)))) % 0.61/0.87 (assume @p25 (forall @t3 (=> @t2 (= (exists @t25 (and @t24 @t35)) (and (not @t34) (not @t33)))))) % 0.61/0.87 (assume @p26 (forall @t3 (=> @t36 true))) % 0.61/0.87 (assume @p27 (forall @t3 (=> @t36 (forall @t25 (=> @t37 true))))) % 0.61/0.87 (assume @p28 (forall @t3 (=> @t36 (forall @t25 (= (tptp.aSubsetOf0 @t6 @t1) (and @t40 (forall @t22 (=> @t39 @t38)))))))) % 0.61/0.87 (assume @p29 (forall @t3 (=> @t36 (=> @t41 true)))) % 0.61/0.87 (assume @p30 (forall @t10 (=> @t50 (forall @t22 (= (= @t12 @t47) (and @t46 (forall @t45 (= @t44 (and @t31 (or @t43 @t42)))))))))) % 0.61/0.87 (assume @p31 (forall @t10 (=> @t50 (forall @t22 (= (= @t12 @t51) (and @t46 (forall @t45 (= @t44 (and @t31 @t43 @t42))))))))) % 0.61/0.87 (assume @p32 (forall @t3 (=> (and @t36 (forall @t25 (=> @t37 @t48))) (forall @t25 (= (= @t6 @t52) (and @t40 (forall @t22 (= @t39 (and @t14 (exists @t45 (and @t43 (tptp.aElementOf0 @t12 @t30)))))))))))) % 0.61/0.87 (assume @p33 (forall @t3 (=> @t49 (forall @t25 (= (= @t6 @t53) (and @t40 (forall @t22 (= @t39 (and @t14 (not @t38)))))))))) % 0.61/0.87 (assume @p34 (forall @t10 (=> @t29 (forall @t22 (= (= @t12 @t54) (and @t46 (forall @t45 (= @t44 (and @t31 (tptp.sdteqdtlpzmzozddtrp0 @t30 @t1 @t6)))))))))) % 0.61/0.87 (assume @p35 (forall @t3 (=> @t49 (= @t55 (forall @t25 (=> @t37 (exists @t22 (and @t14 @t27 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t6 @t12) @t1))))))))) % 0.61/0.87 (assume @p36 (forall @t3 (=> @t49 (= @t56 (tptp.isOpen0 @t53))))) % 0.61/0.87 (assume @p37 (forall @t3 (=> (and @t36 (forall @t25 (=> @t37 (and @t48 @t57)))) (tptp.isOpen0 @t52)))) % 0.61/0.87 (assume @p38 (forall @t10 (=> (and @t49 @t48 @t55 @t57) (tptp.isOpen0 @t51)))) % 0.61/0.87 (assume @p39 (forall @t10 (=> (and @t49 @t48 @t56 @t58) (tptp.isClosed0 @t47)))) % 0.61/0.87 (assume @p40 @t64) % 0.61/0.87 (assume @p41 @t67) % 0.61/0.87 (assume @p42 (and @t97 @t96 (= tptp.xS tptp.cS2043))) % 0.61/0.87 (assume @p43 (and @t110 @t109 (tptp.aSet0 @t99) @t102 (forall @t3 (= @t100 (or @t34 @t33))) (= @t99 tptp.cS2076))) % 0.61/0.87 (assume @p44 @t111) % 0.61/0.87 (assume @p45 @t144) % 0.61/0.87 (assume @p46 true) % 0.61/0.87 (step @p47 :rule aci_norm :args ((= (or @t149 @t59) (or @t148 @t147 @t146 @t59)))) % 0.61/0.87 (step @p48 :rule refl :args (@t59)) % 0.61/0.87 (step @p49 :rule aci_norm :args ((= (or @t148 (or @t147 @t146)) @t149))) % 0.61/0.87 (step @p50 :rule bool-and-de-morgan :args (@t41 @t145 true)) % 0.61/0.87 (step @p51 :rule refl :args (@t148)) % 0.61/0.87 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t148 (not (and @t41 @t145))))) % 0.61/0.87 (step @p53 :rule bool-and-de-morgan :args (@t36 @t41 (and @t145))) % 0.61/0.87 (step @p54 :rule trans :premises (@p53 @p52)) % 0.61/0.87 (step @p55 :rule trans :premises (@p54 @p49)) % 0.61/0.87 (step @p56 :rule nary_cong :premises (@p55 @p48) :args ((or (not @t150) @t59))) % 0.61/0.87 (step @p57 :rule trans :premises (@p56 @p47)) % 0.61/0.87 (step @p58 :rule bool-impl-elim :args (@t150 @t59)) % 0.61/0.87 (step @p59 :rule trans :premises (@p58 @p57)) % 0.61/0.87 (step @p60 :rule cong :premises (@p59) :args ((forall @t3 (=> @t150 @t59)))) % 0.61/0.87 (step @p61 :rule refl :args (@t59)) % 0.61/0.87 (step @p62 :rule bool-impl-elim :args (@t37 @t60)) % 0.61/0.87 (step @p63 :rule cong :premises (@p62) :args (@t61)) % 0.61/0.87 (step @p64 :rule refl :args (@t41)) % 0.61/0.87 (step @p65 :rule refl :args (@t36)) % 0.61/0.87 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t62)) % 0.61/0.87 (step @p67 :rule cong :premises (@p66 @p61) :args (@t63)) % 0.61/0.87 (step @p68 :rule cong :premises (@p67) :args (@t64)) % 0.61/0.87 (step @p69 :rule trans :premises (@p68 @p60)) % 0.61/0.87 (step @p70 :rule eq_resolve :premises (@p40 @p69)) % 0.61/0.87 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xS))) % 0.61/0.87 (step @p72 :rule and_elim :premises (@p42) :args (0)) % 0.61/0.87 (step @p73 :rule refl :args (@t112)) % 0.61/0.87 (step @p74 :rule refl :args (@t113)) % 0.61/0.87 (step @p75 :rule bool-impl-elim :args (@t100 @t168)) % 0.61/0.87 (step @p76 :rule cong :premises (@p75) :args ((forall @t3 (=> @t100 @t168)))) % 0.61/0.87 (step @p77 :rule quant-merge-prenex :args ((= (forall @t25 @t170) @t167))) % 0.61/0.87 (step @p78 :rule quant-unused-vars :args ((= @t171 @t151))) % 0.61/0.87 (step @p79 :rule quant-unused-vars :args ((= @t172 @t154))) % 0.61/0.87 (step @p80 :rule alpha_equiv :args (@t173 (@list @t155 @t157) (@list @t175 @t174))) % 0.61/0.87 (step @p81 :rule quant-unused-vars :args ((= @t176 @t173))) % 0.61/0.87 (step @p82 :rule trans :premises (@p81 @p80)) % 0.61/0.87 (step @p83 :rule alpha_equiv :args (@t177 (@list @t159) @t179)) % 0.61/0.87 (step @p84 :rule quant-unused-vars :args ((= @t180 @t177))) % 0.61/0.87 (step @p85 :rule trans :premises (@p84 @p83)) % 0.61/0.87 (step @p86 :rule quant-unused-vars :args ((= @t181 @t132))) % 0.61/0.87 (step @p87 :rule nary_cong :premises (@p86 @p85 @p82 @p79 @p78) :args (@t182)) % 0.61/0.87 (step @p88 :rule quant-miniscope-and :args ((= @t183 @t182))) % 0.61/0.87 (step @p89 :rule trans :premises (@p88 @p87)) % 0.61/0.87 (step @p90 :rule refl :args (@t164)) % 0.61/0.87 (step @p91 :rule refl :args (@t165)) % 0.61/0.87 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t184)) % 0.61/0.87 (step @p93 :rule quant-miniscope-or :args ((= @t170 @t184))) % 0.61/0.87 (step @p94 :rule trans :premises (@p93 @p92)) % 0.61/0.87 (step @p95 :rule symm :premises (@p94)) % 0.61/0.87 (step @p96 :rule cong :premises (@p95) :args ((forall @t25 (or @t165 @t164 @t196)))) % 0.61/0.87 (step @p97 :rule trans :premises (@p96 @p77)) % 0.61/0.87 (step @p98 :rule aci_norm :args ((= (and @t197 (and @t154 @t151)) @t196))) % 0.61/0.87 (step @p99 :rule bool-or-de-morgan :args (@t153 @t114 false)) % 0.61/0.87 (step @p100 :rule refl :args (@t197)) % 0.61/0.87 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((and @t197 (not @t198)))) % 0.61/0.87 (step @p102 :rule trans :premises (@p101 @p98)) % 0.61/0.87 (step @p103 :rule bool-implies-de-morgan :args (@t197 @t198)) % 0.61/0.87 (step @p104 :rule trans :premises (@p103 @p102)) % 0.61/0.87 (step @p105 :rule nary_cong :premises (@p91 @p90 @p104) :args ((or @t165 @t164 @t200))) % 0.61/0.87 (step @p106 :rule refl :args (@t200)) % 0.61/0.87 (step @p107 :rule bool-double-not-elim :args (@t164)) % 0.61/0.87 (step @p108 :rule nary_cong :premises (@p91 @p107 @p106) :args (@t203)) % 0.61/0.87 (step @p109 :rule aci_norm :args ((= (or @t165 (or @t202 @t200)) @t203))) % 0.61/0.87 (step @p110 :rule trans :premises (@p109 @p108)) % 0.61/0.87 (step @p111 :rule bool-and-de-morgan :args (@t201 @t199 true)) % 0.61/0.87 (step @p112 :rule nary_cong :premises (@p91 @p111) :args ((or @t165 (not (and @t201 @t199))))) % 0.61/0.87 (step @p113 :rule bool-and-de-morgan :args (@t8 @t201 (and @t199))) % 0.61/0.87 (step @p114 :rule trans :premises (@p113 @p112)) % 0.61/0.87 (step @p115 :rule trans :premises (@p114 @p110)) % 0.61/0.87 (step @p116 :rule trans :premises (@p115 @p105)) % 0.61/0.87 (step @p117 :rule cong :premises (@p116) :args (@t205)) % 0.61/0.87 (step @p118 :rule trans :premises (@p117 @p97)) % 0.61/0.87 (step @p119 :rule cong :premises (@p118) :args (@t206)) % 0.61/0.87 (step @p120 :rule exists-elim :args ((= (exists @t25 @t204) @t206))) % 0.61/0.87 (step @p121 :rule trans :premises (@p120 @p119)) % 0.61/0.87 (step @p122 :rule refl :args (@t114)) % 0.61/0.87 (step @p123 :rule bool-impl-elim :args (@t116 @t115)) % 0.61/0.87 (step @p124 :rule cong :premises (@p123) :args (@t117)) % 0.61/0.87 (step @p125 :rule nary_cong :premises (@p124 @p122) :args (@t118)) % 0.61/0.87 (step @p126 :rule aci_norm :args ((= (and @t132 (and @t195 @t193)) @t197))) % 0.61/0.87 (step @p127 :rule refl :args (@t185)) % 0.61/0.87 (step @p128 :rule refl :args (@t186)) % 0.61/0.87 (step @p129 :rule refl :args (@t188)) % 0.61/0.87 (step @p130 :rule eq-symm :args (@t189 @t187)) % 0.61/0.87 (step @p131 :rule cong :premises (@p130) :args (@t207)) % 0.61/0.87 (step @p132 :rule refl :args (@t190)) % 0.61/0.87 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t208)) % 0.61/0.87 (step @p134 :rule nary_cong :premises (@p133 @p129 @p128) :args (@t209)) % 0.61/0.87 (step @p135 :rule refl :args (@t191)) % 0.61/0.87 (step @p136 :rule nary_cong :premises (@p135 @p134 @p127) :args (@t210)) % 0.61/0.87 (step @p137 :rule cong :premises (@p136) :args (@t211)) % 0.61/0.87 (step @p138 :rule quant-merge-prenex :args ((= (forall @t214 @t213) @t211))) % 0.61/0.87 (step @p139 :rule refl :args (@t185)) % 0.61/0.87 (step @p140 :rule quant-unused-vars :args ((= @t215 @t186))) % 0.61/0.87 (step @p141 :rule quant-unused-vars :args ((= @t216 @t188))) % 0.61/0.87 (step @p142 :rule alpha_equiv :args (@t217 (@list @t174) @t218)) % 0.61/0.87 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t219)) % 0.61/0.87 (step @p144 :rule quant-miniscope-and :args ((= @t220 @t219))) % 0.61/0.87 (step @p145 :rule trans :premises (@p144 @p143)) % 0.61/0.87 (step @p146 :rule refl :args (@t191)) % 0.61/0.87 (step @p147 :rule nary_cong :premises (@p146 @p145 @p139) :args (@t221)) % 0.61/0.87 (step @p148 :rule quant-miniscope-or :args ((= @t213 @t221))) % 0.61/0.87 (step @p149 :rule trans :premises (@p148 @p147)) % 0.61/0.87 (step @p150 :rule symm :premises (@p149)) % 0.61/0.87 (step @p151 :rule cong :premises (@p150) :args (@t222)) % 0.61/0.87 (step @p152 :rule trans :premises (@p151 @p138)) % 0.61/0.87 (step @p153 :rule trans :premises (@p152 @p137)) % 0.61/0.87 (step @p154 :rule refl :args (@t195)) % 0.61/0.87 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((and @t195 @t222))) % 0.61/0.87 (step @p156 :rule alpha_equiv :args (@t229 @t230 (@list @t175))) % 0.61/0.87 (step @p157 :rule alpha_equiv :args (@t234 @t230 @t179)) % 0.61/0.87 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t235)) % 0.61/0.87 (step @p159 :rule quant-miniscope-and :args ((= (forall @t22 (and @t233 @t228)) @t235))) % 0.61/0.87 (step @p160 :rule trans :premises (@p159 @p158)) % 0.61/0.87 (step @p161 :rule trans :premises (@p160 @p155)) % 0.61/0.87 (step @p162 :rule aci_norm :args ((= (or (or @t227 @t226) @t116) @t228))) % 0.61/0.87 (step @p163 :rule refl :args (@t116)) % 0.61/0.87 (step @p164 :rule refl :args (@t223)) % 0.61/0.87 (step @p165 :rule refl :args (@t224)) % 0.61/0.87 (step @p166 :rule bool-double-not-elim :args (@t225)) % 0.61/0.87 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t237)) % 0.61/0.87 (step @p168 :rule aci_norm :args ((= (and @t236 (and @t224 @t223)) @t237))) % 0.61/0.87 (step @p169 :rule trans :premises (@p168 @p167)) % 0.61/0.87 (step @p170 :rule bool-or-de-morgan :args (@t121 @t119 false)) % 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nary_cong :premises (@p426 @p414) :args ((and @t396 @t389))) % 0.61/0.87 (step @p428 :rule alpha_equiv :args (@t403 @t230 (@list @t262))) % 0.61/0.87 (step @p429 :rule alpha_equiv :args (@t407 @t230 @t355)) % 0.61/0.87 (step @p430 :rule nary_cong :premises (@p429 @p428) :args (@t408)) % 0.61/0.87 (step @p431 :rule quant-miniscope-and :args ((= (forall @t22 (and @t406 @t402)) @t408))) % 0.61/0.87 (step @p432 :rule trans :premises (@p431 @p430)) % 0.61/0.87 (step @p433 :rule trans :premises (@p432 @p427)) % 0.61/0.87 (step @p434 :rule aci_norm :args ((= (or (or @t227 @t401) @t71) @t402))) % 0.61/0.87 (step @p435 :rule refl :args (@t71)) % 0.61/0.87 (step @p436 :rule refl :args (@t397)) % 0.61/0.87 (step @p437 :rule refl :args (@t398)) % 0.61/0.87 (step @p438 :rule bool-double-not-elim :args (@t400)) % 0.61/0.87 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436) :args (@t410)) % 0.61/0.87 (step @p440 :rule aci_norm :args ((= (and @t409 (and @t398 @t397)) @t410))) % 0.61/0.87 (step @p441 :rule trans :premises (@p440 @p439)) % 0.61/0.87 (step @p442 :rule bool-or-de-morgan :args (@t75 @t72 false)) % 0.61/0.87 (step @p443 :rule refl :args (@t409)) % 0.61/0.87 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((and @t409 (not (or @t75 @t72))))) % 0.61/0.87 (step @p445 :rule bool-or-de-morgan :args (@t404 @t75 (or @t72))) % 0.61/0.87 (step @p446 :rule trans :premises (@p445 @p444)) % 0.61/0.87 (step @p447 :rule trans :premises (@p446 @p441)) % 0.61/0.87 (step @p448 :rule nary_cong :premises (@p176 @p447) :args ((or @t227 (not @t411)))) % 0.61/0.87 (step @p449 :rule bool-and-de-morgan :args (@t14 @t411 true)) % 0.61/0.87 (step @p450 :rule trans :premises (@p449 @p448)) % 0.61/0.87 (step @p451 :rule nary_cong :premises (@p450 @p435) :args ((or (not @t412) @t71))) % 0.61/0.87 (step @p452 :rule trans :premises (@p451 @p434)) % 0.61/0.87 (step @p453 :rule bool-impl-elim :args (@t412 @t71)) % 0.61/0.87 (step @p454 :rule trans :premises (@p453 @p452)) % 0.61/0.87 (step @p455 :rule bool-impl-elim :args (@t71 @t405)) % 0.61/0.87 (step @p456 :rule nary_cong :premises (@p455 @p454) :args (@t413)) % 0.61/0.87 (step @p457 :rule cong :premises (@p456) :args ((forall @t22 @t413))) % 0.61/0.87 (step @p458 :rule trans :premises (@p457 @p433)) % 0.61/0.87 (step @p459 :rule refl :args (@t71)) % 0.61/0.87 (step @p460 :rule refl :args (@t72)) % 0.61/0.87 (step @p461 :rule refl :args (@t75)) % 0.61/0.87 (step @p462 :rule bool-and-de-morgan :args (@t31 @t399 true)) % 0.61/0.87 (step @p463 :rule cong :premises (@p462) :args (@t415)) % 0.61/0.87 (step @p464 :rule cong :premises (@p463) :args (@t416)) % 0.61/0.87 (step @p465 :rule exists-elim :args ((= (exists @t45 @t414) @t416))) % 0.61/0.87 (step @p466 :rule trans :premises (@p465 @p464)) % 0.61/0.87 (step @p467 :rule eq-symm :args (@t76 @t74)) % 0.61/0.87 (step @p468 :rule refl :args (@t31)) % 0.61/0.87 (step @p469 :rule nary_cong :premises (@p468 @p467) :args (@t77)) % 0.61/0.87 (step @p470 :rule cong :premises (@p469) :args (@t78)) % 0.61/0.87 (step @p471 :rule trans :premises (@p470 @p466)) % 0.61/0.87 (step @p472 :rule nary_cong :premises (@p471 @p461 @p460) :args (@t79)) % 0.61/0.87 (step @p473 :rule nary_cong :premises (@p197 @p472) :args (@t80)) % 0.61/0.87 (step @p474 :rule cong :premises (@p473 @p459) :args (@t81)) % 0.61/0.87 (step @p475 :rule nary_cong :premises (@p197 @p471 @p461 @p460) :args (@t82)) % 0.61/0.87 (step @p476 :rule cong :premises (@p459 @p475) :args (@t83)) % 0.61/0.87 (step @p477 :rule nary_cong :premises (@p476 @p474) :args (@t84)) % 0.61/0.87 (step @p478 :rule cong :premises (@p477) :args (@t85)) % 0.61/0.87 (step @p479 :rule trans :premises (@p478 @p458)) % 0.61/0.87 (step @p480 :rule nary_cong :premises (@p297 @p479) :args (@t87)) % 0.61/0.87 (step @p481 :rule trans :premises (@p480 @p378)) % 0.61/0.87 (step @p482 :rule cong :premises (@p481 @p377) :args (@t88)) % 0.61/0.87 (step @p483 :rule refl :args (@t35)) % 0.61/0.87 (step @p484 :rule nary_cong :premises (@p211 @p210 @p483 @p482) :args (@t89)) % 0.61/0.87 (step @p485 :rule cong :premises (@p484) :args (@t90)) % 0.61/0.87 (step @p486 :rule trans :premises (@p485 @p376)) % 0.61/0.87 (step @p487 :rule cong :premises (@p486 @p334) :args (@t91)) % 0.61/0.87 (step @p488 :rule refl :args (@t273)) % 0.61/0.87 (step @p489 :rule refl :args (@t282)) % 0.61/0.87 (step @p490 :rule refl :args (@t336)) % 0.61/0.87 (step @p491 :rule refl :args (@t283)) % 0.61/0.87 (step @p492 :rule nary_cong :premises (@p91 @p107 @p347 @p491 @p490 @p489 @p488) :args (@t417)) % 0.61/0.87 (step @p493 :rule aci_norm :args ((= (or @t165 (or @t202 (or @t284 (or @t283 (or @t336 (or @t282 @t273)))))) @t417))) % 0.61/0.88 (step @p494 :rule trans :premises (@p493 @p492)) % 0.61/0.88 (step @p495 :rule bool-and-de-morgan :args (@t281 @t272 true)) % 0.61/0.88 (step @p496 :rule nary_cong :premises (@p490 @p495) :args ((or @t336 (not @t369)))) % 0.61/0.88 (step @p497 :rule bool-and-de-morgan :args (@t335 @t281 (and @t272))) % 0.61/0.88 (step @p498 :rule trans :premises (@p497 @p496)) % 0.61/0.88 (step @p499 :rule nary_cong :premises (@p491 @p498) :args ((or @t283 (not (and @t335 @t281 @t272))))) % 0.61/0.88 (step @p500 :rule bool-and-de-morgan :args (@t86 @t335 (and @t281 @t272))) % 0.61/0.88 (step @p501 :rule trans :premises (@p500 @p499)) % 0.61/0.88 (step @p502 :rule nary_cong :premises (@p347 @p501) :args ((or @t284 (not (and @t86 @t335 @t281 @t272))))) % 0.61/0.88 (step @p503 :rule bool-and-de-morgan :args (@t35 @t86 (and @t335 @t281 @t272))) % 0.61/0.88 (step @p504 :rule trans :premises (@p503 @p502)) % 0.61/0.88 (step @p505 :rule nary_cong :premises (@p363 @p504) :args ((or @t202 (not (and @t35 @t86 @t335 @t281 @t272))))) % 0.61/0.88 (step @p506 :rule bool-and-de-morgan :args (@t201 @t35 (and @t86 @t335 @t281 @t272))) % 0.61/0.88 (step @p507 :rule trans :premises (@p506 @p505)) % 0.61/0.88 (step @p508 :rule nary_cong :premises (@p91 @p507) :args ((or @t165 (not (and @t201 @t35 @t86 @t335 @t281 @t272))))) % 0.61/0.88 (step @p509 :rule bool-and-de-morgan :args (@t8 @t201 (and @t35 @t86 @t335 @t281 @t272))) % 0.61/0.88 (step @p510 :rule trans :premises (@p509 @p508)) % 0.61/0.88 (step @p511 :rule trans :premises (@p510 @p494)) % 0.61/0.88 (step @p512 :rule cong :premises (@p511) :args (@t419)) % 0.61/0.88 (step @p513 :rule cong :premises (@p512) :args (@t420)) % 0.61/0.88 (step @p514 :rule exists-elim :args ((= (exists @t25 @t418) @t420))) % 0.61/0.88 (step @p515 :rule trans :premises (@p514 @p513)) % 0.61/0.88 (step @p516 :rule aci_norm :args ((= (and @t8 @t201 @t35 @t86 @t369 @t335) @t418))) % 0.61/0.88 (step @p517 :rule nary_cong :premises (@p211 @p210 @p483 @p297 @p479 @p377) :args (@t92)) % 0.61/0.88 (step @p518 :rule trans :premises (@p517 @p516)) % 0.61/0.88 (step @p519 :rule cong :premises (@p518) :args (@t93)) % 0.61/0.88 (step @p520 :rule trans :premises (@p519 @p515)) % 0.61/0.88 (step @p521 :rule cong :premises (@p334 @p520) :args (@t94)) % 0.61/0.88 (step @p522 :rule nary_cong :premises (@p521 @p487) :args (@t95)) % 0.61/0.88 (step @p523 :rule cong :premises (@p522) :args (@t96)) % 0.61/0.88 (step @p524 :rule trans :premises (@p523 @p333)) % 0.61/0.88 (step @p525 :rule and_elim :premises (@p42) :args (1)) % 0.61/0.88 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 0.61/0.88 (step @p527 :rule and_elim :premises (@p526) :args (0)) % 0.61/0.88 (step @p528 :rule instantiate :premises (@p527) :args ((@list @t250))) % 0.61/0.88 (step @p529 :rule bool-double-not-elim :args (@t254)) % 0.61/0.88 (step @p530 :rule refl :args (@t256)) % 0.61/0.88 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or @t256 (not @t255)))) % 0.61/0.88 (step @p532 :rule cnf_or_neg :args (@t256 0)) % 0.61/0.88 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 0.61/0.88 (step @p534 :rule reordering :premises (@p533) :args ((or @t254 @t256))) % 0.61/0.88 (step @p535 :rule chain_m_resolution :premises (@p534 @p243) :args (@t254 @t257 @t258)) % 0.61/0.88 (step @p536 :rule cnf_or_pos :args (@t422)) % 0.61/0.88 (step @p537 :rule reordering :premises (@p536) :args ((or @t255 @t421 (not @t422)))) % 0.61/0.88 (step @p538 :rule chain_m_resolution :premises (@p537 @p535 @p528) :args (@t421 (@list false false) (@list @t254 @t422))) % 0.61/0.88 (step @p539 :rule refl :args (@t437)) % 0.61/0.88 (step @p540 :rule bool-double-not-elim :args (@t285)) % 0.61/0.88 (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or (not @t421) @t437))) % 0.61/0.88 (step @p542 :rule refl :args (@t424)) % 0.61/0.88 (step @p543 :rule refl :args (@t425)) % 0.61/0.88 (step @p544 :rule refl :args (@t426)) % 0.61/0.88 (step @p545 :rule eq-symm :args (@t427 @t276)) % 0.61/0.88 (step @p546 :rule cong :premises (@p545) :args (@t438)) % 0.61/0.88 (step @p547 :rule nary_cong :premises (@p408 @p546) :args (@t439)) % 0.61/0.88 (step @p548 :rule cong :premises (@p547) :args (@t440)) % 0.61/0.88 (step @p549 :rule cong :premises (@p548) :args (@t441)) % 0.61/0.88 (step @p550 :rule nary_cong :premises (@p422 @p549 @p544 @p543) :args (@t442)) % 0.61/0.88 (step @p551 :rule refl :args (@t428)) % 0.61/0.88 (step @p552 :rule nary_cong :premises (@p551 @p550) :args (@t443)) % 0.61/0.88 (step @p553 :rule cong :premises (@p552) :args (@t444)) % 0.61/0.88 (step @p554 :rule cong :premises (@p553) :args (@t445)) % 0.61/0.88 (step @p555 :rule eq-symm :args (@t423 @t250)) % 0.61/0.88 (step @p556 :rule cong :premises (@p555) :args (@t446)) % 0.61/0.88 (step @p557 :rule refl :args (@t431)) % 0.61/0.88 (step @p558 :rule refl :args (@t432)) % 0.61/0.88 (step @p559 :rule refl :args (@t433)) % 0.61/0.88 (step @p560 :rule refl :args (@t435)) % 0.61/0.88 (step @p561 :rule nary_cong :premises (@p560 @p559 @p558 @p557 @p556 @p554 @p542) :args (@t447)) % 0.61/0.88 (step @p562 :rule cong :premises (@p561) :args (@t448)) % 0.61/0.88 (step @p563 :rule refl :args (@t421)) % 0.61/0.88 (step @p564 :rule cong :premises (@p563 @p562) :args ((=> @t421 @t448))) % 0.61/0.88 (assume-push @p608 @t421) % 0.61/0.88 (step @p566 :rule skolemize :premises (@p538)) % 0.61/0.88 (step-pop @p609 :rule scope :premises (@p566)) % 0.61/0.88 (step @p567 :rule process_scope :premises (@p609) :args (@t448)) % 0.61/0.88 (step @p569 :rule eq_resolve :premises (@p567 @p564)) % 0.61/0.88 (step @p570 :rule implies_elim :premises (@p569)) % 0.61/0.88 (step @p571 :rule eq_resolve :premises (@p570 @p541)) % 0.61/0.88 (step @p572 :rule chain_m_resolution :premises (@p571 @p538) :args (@t437 @t257 (@list @t285))) % 0.61/0.88 (step @p573 :rule cnf_or_neg :args (@t436 1)) % 0.61/0.88 (step @p574 :rule chain_m_resolution :premises (@p573 @p572) :args ((not @t433) @t257 @t449)) % 0.61/0.88 (step @p575 :rule bool-double-not-elim :args (@t434)) % 0.61/0.88 (step @p576 :rule refl :args (@t436)) % 0.61/0.88 (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or @t436 (not @t435)))) % 0.61/0.88 (step @p578 :rule cnf_or_neg :args (@t436 0)) % 0.61/0.88 (step @p579 :rule eq_resolve :premises (@p578 @p577)) % 0.61/0.88 (step @p580 :rule reordering :premises (@p579) :args ((or @t434 @t436))) % 0.61/0.88 (step @p581 :rule chain_m_resolution :premises (@p580 @p572) :args (@t434 @t257 @t449)) % 0.61/0.88 (step @p582 :rule cnf_or_pos :args (@t454)) % 0.61/0.88 (step @p583 :rule reordering :premises (@p582) :args ((or @t453 @t435 @t433 @t452 (not @t454)))) % 0.61/0.88 (step @p584 :rule chain_m_resolution :premises (@p583 @p2 @p581 @p574 @p268) :args (@t452 (@list false false true false) (@list @t4 @t434 @t433 @t454))) % 0.61/0.88 (step @p585 :rule cnf_and_pos :args (@t452 0)) % 0.61/0.88 (step @p586 :rule reordering :premises (@p585) :args ((or @t451 @t455))) % 0.61/0.88 (step @p587 :rule chain_m_resolution :premises (@p586 @p584) :args (@t451 @t456 @t457)) % 0.61/0.88 (step @p588 :rule true_intro :premises (@p587)) % 0.61/0.88 (step @p589 :rule refl :args (tptp.cS1395)) % 0.61/0.88 (step @p590 :rule bool-double-not-elim :args (@t429)) % 0.61/0.88 (step @p591 :rule nary_cong :premises (@p576 @p590) :args ((or @t436 (not @t430)))) % 0.61/0.88 (step @p592 :rule cnf_or_neg :args (@t436 4)) % 0.61/0.88 (step @p593 :rule eq_resolve :premises (@p592 @p591)) % 0.61/0.88 (step @p594 :rule reordering :premises (@p593) :args ((or @t429 @t436))) % 0.61/0.88 (step @p595 :rule chain_m_resolution :premises (@p594 @p572) :args (@t429 @t257 @t449)) % 0.61/0.88 (step @p596 :rule cong :premises (@p595 @p589) :args (@t252)) % 0.61/0.88 (step @p597 :rule trans :premises (@p596 @p588)) % 0.61/0.88 (step @p598 :rule true_elim :premises (@p597)) % 0.61/0.88 (step @p599 :rule cnf_and_pos :args (@t452 1)) % 0.61/0.88 (step @p600 :rule reordering :premises (@p599) :args ((or @t450 @t455))) % 0.61/0.88 (step @p601 :rule chain_m_resolution :premises (@p600 @p584) :args (@t450 @t456 @t457)) % 0.61/0.88 (step @p602 :rule true_intro :premises (@p601)) % 0.61/0.88 (step @p603 :rule cong :premises (@p595) :args (@t251)) % 0.61/0.88 (step @p604 :rule trans :premises (@p603 @p602)) % 0.61/0.88 (step @p605 :rule true_elim :premises (@p604)) % 0.61/0.88 (step @p606 :rule cnf_and_neg :args (@t253)) % 0.61/0.88 (step @p607 false :rule chain_m_resolution :premises (@p606 @p605 @p598 @p245) :args (false (@list false false true) (@list @t251 @t252 @t253))) % 0.61/0.88 ) % 0.61/0.88 % SZS output end Proof % 0.61/0.88 % cvc5 exiting %------------------------------------------------------------------------------