%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 15.43s 15.79s % Output : Proof 15.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 11:21:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.43/15.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.79 --- Run --no-e-matching --full-saturate-quant at 6... % 15.43/15.79 % SZS status Theorem % 15.43/15.79 % SZS output start Proof % 15.43/15.79 ( % 15.43/15.79 (declare-sort $$unsorted 0) % 15.43/15.79 (declare-const tptp.cS2076 $$unsorted) % 15.43/15.79 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.cS1395 $$unsorted) % 15.43/15.79 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.xS $$unsorted) % 15.43/15.79 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.cS2043 $$unsorted) % 15.43/15.79 (declare-const tptp.sz10 $$unsorted) % 15.43/15.79 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.sz00 $$unsorted) % 15.43/15.79 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.79 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.43/15.79 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 15.43/15.79 (define @t1 () (@var "W0" $$unsorted)) % 15.43/15.79 (define @t2 () (tptp.aInteger0 @t1)) % 15.43/15.79 (define @t3 () (@list @t1)) % 15.43/15.79 (define @t4 () (tptp.aInteger0 tptp.sz10)) % 15.43/15.79 (define @t5 () (tptp.smndt0 @t1)) % 15.43/15.79 (define @t6 () (@var "W1" $$unsorted)) % 15.43/15.79 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 15.43/15.79 (define @t8 () (tptp.aInteger0 @t6)) % 15.43/15.79 (define @t9 () (and @t2 @t8)) % 15.43/15.79 (define @t10 () (@list @t1 @t6)) % 15.43/15.79 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 15.43/15.79 (define @t12 () (@var "W2" $$unsorted)) % 15.43/15.79 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 15.43/15.79 (define @t14 () (tptp.aInteger0 @t12)) % 15.43/15.79 (define @t15 () (and @t2 @t8 @t14)) % 15.43/15.79 (define @t16 () (@list @t1 @t6 @t12)) % 15.43/15.79 (define @t17 () (tptp.sdtasdt0 @t6 @t12)) % 15.43/15.79 (define @t18 () (tptp.sdtasdt0 @t1 @t12)) % 15.43/15.79 (define @t19 () (tptp.smndt0 tptp.sz10)) % 15.43/15.79 (define @t20 () (= @t6 tptp.sz00)) % 15.43/15.79 (define @t21 () (= @t1 tptp.sz00)) % 15.43/15.79 (define @t22 () (@list @t12)) % 15.43/15.79 (define @t23 () (not @t20)) % 15.43/15.79 (define @t24 () (tptp.aDivisorOf0 @t6 @t1)) % 15.43/15.79 (define @t25 () (@list @t6)) % 15.43/15.79 (define @t26 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12)) % 15.43/15.79 (define @t27 () (not (= @t12 tptp.sz00))) % 15.43/15.79 (define @t28 () (and @t2 @t8 @t14 @t27)) % 15.43/15.79 (define @t29 () (and @t2 @t8 @t23)) % 15.43/15.79 (define @t30 () (@var "W3" $$unsorted)) % 15.43/15.79 (define @t31 () (tptp.aInteger0 @t30)) % 15.43/15.79 (define @t32 () (@list @t1 @t6 @t12 @t30)) % 15.43/15.79 (define @t33 () (not @t21)) % 15.43/15.79 (define @t34 () (= @t1 @t19)) % 15.43/15.79 (define @t35 () (= @t1 tptp.sz10)) % 15.43/15.79 (define @t36 () (tptp.isPrime0 @t6)) % 15.43/15.79 (define @t37 () (tptp.aSet0 @t1)) % 15.43/15.79 (define @t38 () (tptp.aElementOf0 @t6 @t1)) % 15.43/15.79 (define @t39 () (tptp.aElementOf0 @t12 @t1)) % 15.43/15.79 (define @t40 () (tptp.aElementOf0 @t12 @t6)) % 15.43/15.79 (define @t41 () (tptp.aSet0 @t6)) % 15.43/15.79 (define @t42 () (tptp.isFinite0 @t1)) % 15.43/15.79 (define @t43 () (tptp.aElementOf0 @t30 @t6)) % 15.43/15.79 (define @t44 () (tptp.aElementOf0 @t30 @t1)) % 15.43/15.79 (define @t45 () (tptp.aElementOf0 @t30 @t12)) % 15.43/15.79 (define @t46 () (@list @t30)) % 15.43/15.79 (define @t47 () (tptp.aSet0 @t12)) % 15.43/15.79 (define @t48 () (tptp.sdtbsmnsldt0 @t1 @t6)) % 15.43/15.79 (define @t49 () (tptp.aSubsetOf0 @t6 tptp.cS1395)) % 15.43/15.79 (define @t50 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 15.43/15.79 (define @t51 () (and @t50 @t49)) % 15.43/15.79 (define @t52 () (tptp.sdtslmnbsdt0 @t1 @t6)) % 15.43/15.79 (define @t53 () (tptp.sbsmnsldt0 @t1)) % 15.43/15.79 (define @t54 () (tptp.stldt0 @t1)) % 15.43/15.79 (define @t55 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t6)) % 15.43/15.79 (define @t56 () (tptp.isOpen0 @t1)) % 15.43/15.79 (define @t57 () (tptp.isClosed0 @t1)) % 15.43/15.79 (define @t58 () (tptp.isOpen0 @t6)) % 15.43/15.79 (define @t59 () (tptp.isClosed0 @t6)) % 15.43/15.79 (define @t60 () (tptp.aElementOf0 @t1 tptp.xS)) % 15.43/15.79 (define @t61 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t6)) % 15.43/15.79 (define @t62 () (= @t61 @t1)) % 15.43/15.79 (define @t63 () (tptp.aElementOf0 @t12 @t61)) % 15.43/15.79 (define @t64 () (tptp.sdteqdtlpzmzozddtrp0 @t12 tptp.sz00 @t6)) % 15.43/15.79 (define @t65 () (tptp.sdtpldt0 @t12 (tptp.smndt0 tptp.sz00))) % 15.43/15.79 (define @t66 () (tptp.aDivisorOf0 @t6 @t65)) % 15.43/15.79 (define @t67 () (tptp.sdtasdt0 @t6 @t30)) % 15.43/15.79 (define @t68 () (exists @t46 (and @t31 (= @t67 @t65)))) % 15.43/15.79 (define @t69 () (forall @t22 (and (=> @t63 (and @t14 @t68 @t66 @t64)) (=> (and @t14 (or @t68 @t66 @t64)) @t63)))) % 15.43/15.79 (define @t70 () (tptp.aSet0 @t61)) % 15.43/15.79 (define @t71 () (tptp.sbsmnsldt0 tptp.xS)) % 15.43/15.79 (define @t72 () (tptp.stldt0 @t71)) % 15.43/15.79 (define @t73 () (or @t35 @t34)) % 15.43/15.79 (define @t74 () (tptp.aElementOf0 @t1 @t72)) % 15.43/15.79 (define @t75 () (= @t74 @t73)) % 15.43/15.79 (define @t76 () (forall @t3 @t75)) % 15.43/15.79 (define @t77 () (tptp.aElementOf0 @t1 @t71)) % 15.43/15.79 (define @t78 () (forall @t3 (= @t74 (and @t2 (not @t77))))) % 15.43/15.79 (define @t79 () (forall @t3 (= @t77 (and @t2 (exists @t25 (and (tptp.aElementOf0 @t6 tptp.xS) (tptp.aElementOf0 @t1 @t6))))))) % 15.43/15.79 (define @t80 () (tptp.aSet0 @t71)) % 15.43/15.79 (define @t81 () (tptp.aSubsetOf0 @t55 @t72)) % 15.43/15.79 (define @t82 () (tptp.aElementOf0 @t12 @t72)) % 15.43/15.79 (define @t83 () (tptp.aElementOf0 @t12 @t55)) % 15.43/15.79 (define @t84 () (forall @t22 (=> @t83 @t82))) % 15.43/15.79 (define @t85 () (tptp.sdteqdtlpzmzozddtrp0 @t12 @t1 @t6)) % 15.43/15.79 (define @t86 () (tptp.sdtpldt0 @t12 @t5)) % 15.43/15.79 (define @t87 () (tptp.aDivisorOf0 @t6 @t86)) % 15.43/15.79 (define @t88 () (= @t67 @t86)) % 15.43/15.79 (define @t89 () (and @t31 @t88)) % 15.43/15.79 (define @t90 () (exists @t46 @t89)) % 15.43/15.79 (define @t91 () (or @t90 @t87 @t85)) % 15.43/15.79 (define @t92 () (and @t14 @t91)) % 15.43/15.79 (define @t93 () (=> @t92 @t83)) % 15.43/15.79 (define @t94 () (and @t14 @t90 @t87 @t85)) % 15.43/15.79 (define @t95 () (=> @t83 @t94)) % 15.43/15.79 (define @t96 () (and @t95 @t93)) % 15.43/15.79 (define @t97 () (forall @t22 @t96)) % 15.43/15.79 (define @t98 () (tptp.aSet0 @t55)) % 15.43/15.79 (define @t99 () (and @t8 @t23 @t98 @t97 @t84 @t81)) % 15.43/15.79 (define @t100 () (exists @t25 @t99)) % 15.43/15.79 (define @t101 () (=> @t74 @t100)) % 15.43/15.79 (define @t102 () (forall @t3 @t101)) % 15.43/15.79 (define @t103 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 @t1)) % 15.43/15.79 (define @t104 () (tptp.aSubsetOf0 @t103 @t72)) % 15.43/15.79 (define @t105 () (tptp.aElementOf0 @t6 @t72)) % 15.43/15.79 (define @t106 () (tptp.aElementOf0 @t6 @t103)) % 15.43/15.79 (define @t107 () (forall @t25 (=> @t106 @t105))) % 15.43/15.79 (define @t108 () (or @t107 @t104)) % 15.43/15.79 (define @t109 () (tptp.aElementOf0 @t6 @t71)) % 15.43/15.79 (define @t110 () (forall @t25 (= @t105 (and @t8 (not @t109))))) % 15.43/15.79 (define @t111 () (=> @t110 @t108)) % 15.43/15.79 (define @t112 () (tptp.aElementOf0 @t6 @t12)) % 15.43/15.79 (define @t113 () (tptp.aElementOf0 @t12 tptp.xS)) % 15.43/15.79 (define @t114 () (and @t113 @t112)) % 15.43/15.79 (define @t115 () (exists @t22 @t114)) % 15.43/15.79 (define @t116 () (and @t8 @t115)) % 15.43/15.79 (define @t117 () (= @t109 @t116)) % 15.43/15.79 (define @t118 () (forall @t25 @t117)) % 15.43/15.79 (define @t119 () (and @t80 @t118)) % 15.43/15.79 (define @t120 () (=> @t119 @t111)) % 15.43/15.79 (define @t121 () (tptp.sdteqdtlpzmzozddtrp0 @t6 tptp.sz10 @t1)) % 15.43/15.79 (define @t122 () (tptp.sdtpldt0 @t6 @t19)) % 15.43/15.79 (define @t123 () (tptp.aDivisorOf0 @t1 @t122)) % 15.43/15.79 (define @t124 () (= @t18 @t122)) % 15.43/15.79 (define @t125 () (and @t14 @t124)) % 15.43/15.79 (define @t126 () (exists @t22 @t125)) % 15.43/15.79 (define @t127 () (or @t126 @t123 @t121)) % 15.43/15.79 (define @t128 () (and @t8 @t127)) % 15.43/15.79 (define @t129 () (=> @t128 @t106)) % 15.43/15.79 (define @t130 () (and @t8 @t126 @t123 @t121)) % 15.43/15.79 (define @t131 () (=> @t106 @t130)) % 15.43/15.79 (define @t132 () (and @t131 @t129)) % 15.43/15.79 (define @t133 () (forall @t25 @t132)) % 15.43/15.79 (define @t134 () (tptp.aSet0 @t103)) % 15.43/15.79 (define @t135 () (and @t134 @t133)) % 15.43/15.79 (define @t136 () (=> @t135 @t120)) % 15.43/15.79 (define @t137 () (and @t2 @t33 @t136)) % 15.43/15.79 (define @t138 () (exists @t3 @t137)) % 15.43/15.79 (define @t139 () (not @t138)) % 15.43/15.79 (define @t140 () (@var "BOUND_VARIABLE_8607" $$unsorted)) % 15.43/15.79 (define @t141 () (tptp.aElementOf0 @t140 @t55)) % 15.43/15.79 (define @t142 () (not (tptp.sdteqdtlpzmzozddtrp0 @t140 @t1 @t6))) % 15.43/15.79 (define @t143 () (tptp.sdtpldt0 @t140 @t5)) % 15.43/15.79 (define @t144 () (not (tptp.aDivisorOf0 @t6 @t143))) % 15.43/15.79 (define @t145 () (@var "BOUND_VARIABLE_8626" $$unsorted)) % 15.43/15.79 (define @t146 () (tptp.sdtasdt0 @t6 @t145)) % 15.43/15.79 (define @t147 () (not (tptp.aInteger0 @t145))) % 15.43/15.79 (define @t148 () (not (tptp.aInteger0 @t140))) % 15.43/15.79 (define @t149 () (@list @t140 @t145)) % 15.43/15.79 (define @t150 () (forall @t149 (or @t148 (and (or @t147 (not (= @t143 @t146))) @t144 @t142) @t141))) % 15.43/15.79 (define @t151 () (not @t150)) % 15.43/15.79 (define @t152 () (@var "BOUND_VARIABLE_8590" $$unsorted)) % 15.43/15.79 (define @t153 () (tptp.sdtpldt0 @t152 @t5)) % 15.43/15.79 (define @t154 () (not @t31)) % 15.43/15.79 (define @t155 () (tptp.aInteger0 @t152)) % 15.43/15.79 (define @t156 () (@list @t152)) % 15.43/15.79 (define @t157 () (forall @t156 (or (not (tptp.aElementOf0 @t152 @t55)) (and @t155 (not (forall @t46 (or @t154 (not (= @t67 @t153))))) (tptp.aDivisorOf0 @t6 @t153) (tptp.sdteqdtlpzmzozddtrp0 @t152 @t1 @t6))))) % 15.43/15.79 (define @t158 () (not @t157)) % 15.43/15.79 (define @t159 () (not @t81)) % 15.43/15.79 (define @t160 () (not @t83)) % 15.43/15.79 (define @t161 () (or @t160 @t82)) % 15.43/15.79 (define @t162 () (forall @t22 @t161)) % 15.43/15.79 (define @t163 () (not @t162)) % 15.43/15.79 (define @t164 () (not @t98)) % 15.43/15.79 (define @t165 () (= tptp.sz00 @t6)) % 15.43/15.79 (define @t166 () (not @t8)) % 15.43/15.79 (define @t167 () (or @t166 @t165 @t164 @t163 @t159 @t158 @t151)) % 15.43/15.79 (define @t168 () (forall @t25 @t167)) % 15.43/15.79 (define @t169 () (not @t168)) % 15.43/15.79 (define @t170 () (not @t74)) % 15.43/15.79 (define @t171 () (or @t170 @t169)) % 15.43/15.79 (define @t172 () (not @t165)) % 15.43/15.79 (define @t173 () (not @t172)) % 15.43/15.79 (define @t174 () (or @t166 @t173 @t164 @t163 @t159 @t158 @t151)) % 15.43/15.79 (define @t175 () (and @t157 @t150)) % 15.43/15.79 (define @t176 () (and @t8 @t172 @t98 @t162 @t81 @t157 @t150)) % 15.43/15.79 (define @t177 () (forall @t25 (not @t176))) % 15.43/15.79 (define @t178 () (not @t177)) % 15.43/15.79 (define @t179 () (not (= @t146 @t143))) % 15.43/15.79 (define @t180 () (or @t147 @t179)) % 15.43/15.79 (define @t181 () (and @t180 @t144 @t142)) % 15.43/15.79 (define @t182 () (or @t148 @t181 @t141)) % 15.43/15.79 (define @t183 () (forall @t149 @t182)) % 15.43/15.79 (define @t184 () (@list @t145)) % 15.43/15.79 (define @t185 () (forall @t184 @t182)) % 15.43/15.79 (define @t186 () (@list @t140)) % 15.43/15.79 (define @t187 () (forall @t184 @t142)) % 15.43/15.79 (define @t188 () (forall @t184 @t144)) % 15.43/15.79 (define @t189 () (forall @t184 @t180)) % 15.43/15.79 (define @t190 () (and @t189 @t188 @t187)) % 15.43/15.79 (define @t191 () (forall @t184 @t181)) % 15.43/15.79 (define @t192 () (or @t148 @t191 @t141)) % 15.43/15.79 (define @t193 () (forall @t186 (or @t148 (and (forall @t46 (or @t154 (not (= @t67 @t143)))) @t144 @t142) @t141))) % 15.43/15.79 (define @t194 () (not @t85)) % 15.43/15.79 (define @t195 () (not @t87)) % 15.43/15.79 (define @t196 () (forall @t46 (or @t154 (not @t88)))) % 15.43/15.79 (define @t197 () (and @t196 @t195 @t194)) % 15.43/15.79 (define @t198 () (not @t14)) % 15.43/15.79 (define @t199 () (or @t198 @t197 @t83)) % 15.43/15.79 (define @t200 () (forall @t22 @t199)) % 15.43/15.79 (define @t201 () (@list @t12)) % 15.43/15.79 (define @t202 () (not @t196)) % 15.43/15.79 (define @t203 () (and @t14 @t202 @t87 @t85)) % 15.43/15.79 (define @t204 () (or @t160 @t203)) % 15.43/15.79 (define @t205 () (forall @t22 @t204)) % 15.43/15.79 (define @t206 () (and @t205 @t200)) % 15.43/15.79 (define @t207 () (not @t202)) % 15.43/15.79 (define @t208 () (and @t207 @t195 @t194)) % 15.43/15.79 (define @t209 () (or @t202 @t87 @t85)) % 15.43/15.79 (define @t210 () (and @t14 @t209)) % 15.43/15.79 (define @t211 () (and (=> @t83 @t203) (=> @t210 @t83))) % 15.43/15.79 (define @t212 () (forall @t46 (not @t89))) % 15.43/15.79 (define @t213 () (not @t212)) % 15.43/15.79 (define @t214 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 @t6)) % 15.43/15.79 (define @t215 () (tptp.aElementOf0 @t140 @t214)) % 15.43/15.79 (define @t216 () (not (tptp.sdteqdtlpzmzozddtrp0 @t140 tptp.sz10 @t6))) % 15.43/15.79 (define @t217 () (tptp.sdtpldt0 @t140 @t19)) % 15.43/15.79 (define @t218 () (not (tptp.aDivisorOf0 @t6 @t217))) % 15.43/15.79 (define @t219 () (not (= @t217 @t146))) % 15.43/15.79 (define @t220 () (or @t147 @t219)) % 15.43/15.79 (define @t221 () (and @t220 @t218 @t216)) % 15.43/15.79 (define @t222 () (or @t148 @t221 @t215)) % 15.43/15.79 (define @t223 () (forall @t149 @t222)) % 15.43/15.79 (define @t224 () (not @t223)) % 15.43/15.79 (define @t225 () (tptp.sdtpldt0 @t152 @t19)) % 15.43/15.79 (define @t226 () (not (forall @t156 (or (not (tptp.aElementOf0 @t152 @t214)) (and @t155 (not (forall @t46 (or @t154 (not (= @t67 @t225))))) (tptp.aDivisorOf0 @t6 @t225) (tptp.sdteqdtlpzmzozddtrp0 @t152 tptp.sz10 @t6)))))) % 15.43/15.79 (define @t227 () (tptp.sbsmnsldt0 tptp.cS2043)) % 15.43/15.79 (define @t228 () (tptp.stldt0 @t227)) % 15.43/15.79 (define @t229 () (not (tptp.aSubsetOf0 @t214 @t228))) % 15.43/15.79 (define @t230 () (tptp.aElementOf0 @t12 @t228)) % 15.43/15.79 (define @t231 () (not (forall @t22 (or (not (tptp.aElementOf0 @t12 @t214)) @t230)))) % 15.43/15.79 (define @t232 () (not (tptp.aSet0 @t214))) % 15.43/15.79 (define @t233 () (or @t166 @t165 @t232 @t231 @t229 @t226 @t224)) % 15.43/15.79 (define @t234 () (forall @t25 @t233)) % 15.43/15.79 (define @t235 () (not @t234)) % 15.43/15.79 (define @t236 () (tptp.aElementOf0 tptp.sz10 @t228)) % 15.43/15.79 (define @t237 () (not @t236)) % 15.43/15.79 (define @t238 () (or @t237 @t235)) % 15.43/15.79 (define @t239 () (tptp.aElementOf0 @t1 @t228)) % 15.43/15.79 (define @t240 () (forall @t3 (or (not @t239) (not (forall @t25 (or @t166 @t165 @t164 (not (forall @t22 (or @t160 @t230))) (not (tptp.aSubsetOf0 @t55 @t228)) @t158 @t151)))))) % 15.43/15.79 (define @t241 () (@list tptp.sz10)) % 15.43/15.79 (define @t242 () (forall @t25 (or @t166 @t165 @t232 @t231 @t229 @t226 (not (forall @t149 (or @t148 (and (or @t147 (not (= @t146 @t217))) @t218 @t216) @t215)))))) % 15.43/15.79 (define @t243 () (not @t242)) % 15.43/15.79 (define @t244 () (or @t237 @t243)) % 15.43/15.79 (define @t245 () (@list false)) % 15.43/15.79 (define @t246 () (= tptp.sz10 @t19)) % 15.43/15.79 (define @t247 () (or (= tptp.sz10 tptp.sz10) @t246)) % 15.43/15.79 (define @t248 () (forall @t3 (= @t73 @t239))) % 15.43/15.79 (define @t249 () (= @t247 @t236)) % 15.43/15.79 (define @t250 () (@quantifiers_skolemize @t242 0)) % 15.43/15.79 (define @t251 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 @t250)) % 15.43/15.79 (define @t252 () (tptp.aElementOf0 @t140 @t251)) % 15.43/15.79 (define @t253 () (not (tptp.sdteqdtlpzmzozddtrp0 @t140 tptp.sz10 @t250))) % 15.43/15.79 (define @t254 () (not (tptp.aDivisorOf0 @t250 @t217))) % 15.43/15.79 (define @t255 () (tptp.sdtasdt0 @t250 @t145)) % 15.43/15.79 (define @t256 () (tptp.sdteqdtlpzmzozddtrp0 @t152 tptp.sz10 @t250)) % 15.43/15.79 (define @t257 () (tptp.aDivisorOf0 @t250 @t225)) % 15.43/15.79 (define @t258 () (tptp.sdtasdt0 @t250 @t30)) % 15.43/15.79 (define @t259 () (not (tptp.aElementOf0 @t152 @t251))) % 15.43/15.79 (define @t260 () (tptp.aSubsetOf0 @t251 @t228)) % 15.43/15.79 (define @t261 () (not @t260)) % 15.43/15.79 (define @t262 () (not (forall @t22 (or (not (tptp.aElementOf0 @t12 @t251)) @t230)))) % 15.43/15.79 (define @t263 () (tptp.aSet0 @t251)) % 15.43/15.79 (define @t264 () (not @t263)) % 15.43/15.79 (define @t265 () (= tptp.sz00 @t250)) % 15.43/15.79 (define @t266 () (tptp.aInteger0 @t250)) % 15.43/15.79 (define @t267 () (not @t266)) % 15.43/15.79 (define @t268 () (or @t267 @t265 @t264 @t262 @t261 (not (forall @t156 (or @t259 (and @t155 (not (forall @t46 (or @t154 (not (= @t225 @t258))))) @t257 @t256)))) (not (forall @t149 (or @t148 (and (or @t147 (not (= @t217 @t255))) @t254 @t253) @t252))))) % 15.43/15.79 (define @t269 () (not @t268)) % 15.43/15.79 (define @t270 () (not (= @t255 @t217))) % 15.43/15.79 (define @t271 () (or @t147 @t270)) % 15.43/15.79 (define @t272 () (and @t271 @t254 @t253)) % 15.43/15.79 (define @t273 () (or @t148 @t272 @t252)) % 15.43/15.79 (define @t274 () (forall @t149 @t273)) % 15.43/15.79 (define @t275 () (not @t274)) % 15.43/15.79 (define @t276 () (not (= @t258 @t225))) % 15.43/15.79 (define @t277 () (or @t154 @t276)) % 15.43/15.79 (define @t278 () (forall @t46 @t277)) % 15.43/15.79 (define @t279 () (not @t278)) % 15.43/15.79 (define @t280 () (and @t155 @t279 @t257 @t256)) % 15.43/15.79 (define @t281 () (or @t259 @t280)) % 15.43/15.79 (define @t282 () (forall @t156 @t281)) % 15.43/15.79 (define @t283 () (not @t282)) % 15.43/15.79 (define @t284 () (or @t267 @t265 @t264 @t262 @t261 @t283 @t275)) % 15.43/15.79 (define @t285 () (not @t284)) % 15.43/15.79 (define @t286 () (@list true)) % 15.43/15.79 (define @t287 () (@list @t268)) % 15.43/15.79 (define @t288 () (tptp.aElementOf0 @t6 @t228)) % 15.43/15.79 (define @t289 () (not (forall @t25 (or (not (tptp.aElementOf0 @t6 @t251)) @t288)))) % 15.43/15.79 (define @t290 () (tptp.aElementOf0 tptp.sz10 @t227)) % 15.43/15.79 (define @t291 () (= (and @t4 (not @t290)) @t236)) % 15.43/15.79 (define @t292 () (not (tptp.aElementOf0 @t12 tptp.cS2043))) % 15.43/15.79 (define @t293 () (and @t4 (not (forall @t22 (or @t292 (not (tptp.aElementOf0 tptp.sz10 @t12))))))) % 15.43/15.79 (define @t294 () (tptp.aSet0 @t227)) % 15.43/15.79 (define @t295 () (tptp.aElementOf0 tptp.sz10 @t251)) % 15.43/15.79 (define @t296 () (tptp.sdteqdtlpzmzozddtrp0 tptp.sz10 tptp.sz10 @t250)) % 15.43/15.79 (define @t297 () (tptp.sdtpldt0 tptp.sz10 @t19)) % 15.43/15.79 (define @t298 () (tptp.aDivisorOf0 @t250 @t297)) % 15.43/15.79 (define @t299 () (not @t4)) % 15.43/15.79 (define @t300 () (or @t299 (and (or @t299 (not (= @t297 (tptp.sdtasdt0 @t250 tptp.sz10)))) (not @t298) (not @t296)) @t295)) % 15.43/15.79 (define @t301 () (tptp.sdtasdt0 @t250 @t12)) % 15.43/15.79 (define @t302 () (not @t295)) % 15.43/15.79 (define @t303 () (and @t263 (or @t302 (and @t4 (not (forall @t22 (or @t198 (not (= @t297 @t301))))) @t298 @t296)) @t300 @t294 (= @t290 @t293) @t291 @t289 @t261)) % 15.43/15.79 (define @t304 () (not @t303)) % 15.43/15.79 (define @t305 () (not (tptp.aSubsetOf0 @t103 @t228))) % 15.43/15.79 (define @t306 () (not @t106)) % 15.43/15.79 (define @t307 () (not (forall @t25 (or @t306 @t288)))) % 15.43/15.79 (define @t308 () (@var "BOUND_VARIABLE_8830" $$unsorted)) % 15.43/15.79 (define @t309 () (tptp.aElementOf0 @t308 @t228)) % 15.43/15.79 (define @t310 () (tptp.aInteger0 @t308)) % 15.43/15.79 (define @t311 () (and @t310 (not (tptp.aElementOf0 @t308 @t227)))) % 15.43/15.79 (define @t312 () (@var "BOUND_VARIABLE_8819" $$unsorted)) % 15.43/15.79 (define @t313 () (tptp.aElementOf0 @t312 @t227)) % 15.43/15.79 (define @t314 () (not (tptp.aElementOf0 @t312 @t12))) % 15.43/15.79 (define @t315 () (tptp.aInteger0 @t312)) % 15.43/15.79 (define @t316 () (and @t315 (not (forall @t22 (or @t292 @t314))))) % 15.43/15.79 (define @t317 () (@var "BOUND_VARIABLE_8799" $$unsorted)) % 15.43/15.79 (define @t318 () (tptp.sdtpldt0 @t317 @t19)) % 15.43/15.79 (define @t319 () (@var "BOUND_VARIABLE_8801" $$unsorted)) % 15.43/15.79 (define @t320 () (or (not (tptp.aInteger0 @t317)) (and (or (not (tptp.aInteger0 @t319)) (not (= @t318 (tptp.sdtasdt0 @t1 @t319)))) (not (tptp.aDivisorOf0 @t1 @t318)) (not (tptp.sdteqdtlpzmzozddtrp0 @t317 tptp.sz10 @t1))) (tptp.aElementOf0 @t317 @t103))) % 15.43/15.79 (define @t321 () (@var "BOUND_VARIABLE_8784" $$unsorted)) % 15.43/15.79 (define @t322 () (tptp.sdtpldt0 @t321 @t19)) % 15.43/15.79 (define @t323 () (or (not (tptp.aElementOf0 @t321 @t103)) (and (tptp.aInteger0 @t321) (not (forall @t22 (or @t198 (not (= @t18 @t322))))) (tptp.aDivisorOf0 @t1 @t322) (tptp.sdteqdtlpzmzozddtrp0 @t321 tptp.sz10 @t1)))) % 15.43/15.79 (define @t324 () (and @t134 @t323 @t320 @t294 (= @t313 @t316) (= @t309 @t311) @t307 @t305)) % 15.43/15.79 (define @t325 () (not @t2)) % 15.43/15.79 (define @t326 () (or @t325 @t21 @t324)) % 15.43/15.79 (define @t327 () (@list @t1 @t321 @t317 @t319 @t312 @t308)) % 15.43/15.79 (define @t328 () (not @t104)) % 15.43/15.79 (define @t329 () (or @t306 @t105)) % 15.43/15.79 (define @t330 () (forall @t25 @t329)) % 15.43/15.79 (define @t331 () (not @t330)) % 15.43/15.79 (define @t332 () (tptp.aElementOf0 @t308 @t71)) % 15.43/15.79 (define @t333 () (not @t332)) % 15.43/15.79 (define @t334 () (and @t310 @t333)) % 15.43/15.79 (define @t335 () (tptp.aElementOf0 @t308 @t72)) % 15.43/15.79 (define @t336 () (= @t335 @t334)) % 15.43/15.79 (define @t337 () (not @t113)) % 15.43/15.79 (define @t338 () (or @t337 @t314)) % 15.43/15.79 (define @t339 () (forall @t22 @t338)) % 15.43/15.79 (define @t340 () (not @t339)) % 15.43/15.79 (define @t341 () (and @t315 @t340)) % 15.43/15.79 (define @t342 () (tptp.aElementOf0 @t312 @t71)) % 15.43/15.79 (define @t343 () (= @t342 @t341)) % 15.43/15.79 (define @t344 () (and @t134 @t323 @t320 @t80 @t343 @t336 @t331 @t328)) % 15.43/15.79 (define @t345 () (or @t325 @t21 @t344)) % 15.43/15.79 (define @t346 () (forall @t327 @t345)) % 15.43/15.79 (define @t347 () (@list @t321 @t317 @t319 @t312 @t308)) % 15.43/15.79 (define @t348 () (forall @t347 @t345)) % 15.43/15.79 (define @t349 () (forall @t347 @t328)) % 15.43/15.79 (define @t350 () (forall @t347 @t331)) % 15.43/15.79 (define @t351 () (forall (@list @t308) @t336)) % 15.43/15.79 (define @t352 () (@list @t6)) % 15.43/15.79 (define @t353 () (forall @t347 @t336)) % 15.43/15.79 (define @t354 () (forall (@list @t312) @t343)) % 15.43/15.79 (define @t355 () (forall @t347 @t343)) % 15.43/15.79 (define @t356 () (forall @t347 @t80)) % 15.43/15.79 (define @t357 () (forall (@list @t317 @t319) @t320)) % 15.43/15.79 (define @t358 () (@var "BOUND_VARIABLE_8728" $$unsorted)) % 15.43/15.79 (define @t359 () (@var "BOUND_VARIABLE_8709" $$unsorted)) % 15.43/15.79 (define @t360 () (forall @t347 @t320)) % 15.43/15.79 (define @t361 () (forall (@list @t321) @t323)) % 15.43/15.79 (define @t362 () (@var "BOUND_VARIABLE_8692" $$unsorted)) % 15.43/15.79 (define @t363 () (@list @t362)) % 15.43/15.79 (define @t364 () (forall @t347 @t323)) % 15.43/15.79 (define @t365 () (forall @t347 @t134)) % 15.43/15.79 (define @t366 () (and @t365 @t364 @t360 @t356 @t355 @t353 @t350 @t349)) % 15.43/15.79 (define @t367 () (forall @t347 @t344)) % 15.43/15.79 (define @t368 () (or @t325 @t21 @t367)) % 15.43/15.79 (define @t369 () (forall @t25 (= @t109 (and @t8 (not (forall @t22 (or @t337 (not @t112)))))))) % 15.43/15.79 (define @t370 () (tptp.aElementOf0 @t359 @t103)) % 15.43/15.79 (define @t371 () (not (tptp.sdteqdtlpzmzozddtrp0 @t359 tptp.sz10 @t1))) % 15.43/15.79 (define @t372 () (tptp.sdtpldt0 @t359 @t19)) % 15.43/15.79 (define @t373 () (not (tptp.aDivisorOf0 @t1 @t372))) % 15.43/15.79 (define @t374 () (tptp.sdtasdt0 @t1 @t358)) % 15.43/15.79 (define @t375 () (not (tptp.aInteger0 @t358))) % 15.43/15.79 (define @t376 () (not (tptp.aInteger0 @t359))) % 15.43/15.79 (define @t377 () (@list @t359 @t358)) % 15.43/15.79 (define @t378 () (forall @t377 (or @t376 (and (or @t375 (not (= @t372 @t374))) @t373 @t371) @t370))) % 15.43/15.79 (define @t379 () (tptp.sdtpldt0 @t362 @t19)) % 15.43/15.79 (define @t380 () (forall (@list @t362) (or (not (tptp.aElementOf0 @t362 @t103)) (and (tptp.aInteger0 @t362) (not (forall @t22 (or @t198 (not (= @t18 @t379))))) (tptp.aDivisorOf0 @t1 @t379) (tptp.sdteqdtlpzmzozddtrp0 @t362 tptp.sz10 @t1))))) % 15.43/15.79 (define @t381 () (and @t134 @t380 @t378 @t80 @t369 @t110 @t331 @t328)) % 15.43/15.79 (define @t382 () (and @t80 @t369 @t110 @t331 @t328)) % 15.43/15.79 (define @t383 () (and @t134 @t380 @t378)) % 15.43/15.79 (define @t384 () (and @t110 @t331 @t328)) % 15.43/15.79 (define @t385 () (and @t80 @t369)) % 15.43/15.79 (define @t386 () (or @t330 @t104)) % 15.43/15.79 (define @t387 () (=> @t110 @t386)) % 15.43/15.79 (define @t388 () (=> @t385 @t387)) % 15.43/15.79 (define @t389 () (=> @t383 @t388)) % 15.43/15.79 (define @t390 () (not @t389)) % 15.43/15.79 (define @t391 () (not @t33)) % 15.43/15.79 (define @t392 () (or @t325 @t391 @t390)) % 15.43/15.79 (define @t393 () (and @t2 @t33 @t389)) % 15.43/15.79 (define @t394 () (forall @t3 (not @t393))) % 15.43/15.79 (define @t395 () (not @t394)) % 15.43/15.79 (define @t396 () (forall @t22 (not @t114))) % 15.43/15.79 (define @t397 () (not @t396)) % 15.43/15.79 (define @t398 () (not (= @t374 @t372))) % 15.43/15.79 (define @t399 () (or @t375 @t398)) % 15.43/15.79 (define @t400 () (and @t399 @t373 @t371)) % 15.43/15.79 (define @t401 () (or @t376 @t400 @t370)) % 15.43/15.79 (define @t402 () (forall @t377 @t401)) % 15.43/15.79 (define @t403 () (@list @t358)) % 15.43/15.79 (define @t404 () (forall @t403 @t401)) % 15.43/15.79 (define @t405 () (@list @t359)) % 15.43/15.79 (define @t406 () (forall @t403 @t371)) % 15.43/15.79 (define @t407 () (forall @t403 @t373)) % 15.43/15.79 (define @t408 () (forall @t403 @t399)) % 15.43/15.79 (define @t409 () (and @t408 @t407 @t406)) % 15.43/15.79 (define @t410 () (forall @t403 @t400)) % 15.43/15.79 (define @t411 () (or @t376 @t410 @t370)) % 15.43/15.79 (define @t412 () (forall @t405 (or @t376 (and (forall @t22 (or @t198 (not (= @t18 @t372)))) @t373 @t371) @t370))) % 15.43/15.79 (define @t413 () (not @t121)) % 15.43/15.79 (define @t414 () (not @t123)) % 15.43/15.79 (define @t415 () (forall @t22 (or @t198 (not @t124)))) % 15.43/15.79 (define @t416 () (and @t415 @t414 @t413)) % 15.43/15.79 (define @t417 () (or @t166 @t416 @t106)) % 15.43/15.79 (define @t418 () (forall @t25 @t417)) % 15.43/15.79 (define @t419 () (not @t415)) % 15.43/15.79 (define @t420 () (and @t8 @t419 @t123 @t121)) % 15.43/15.79 (define @t421 () (or @t306 @t420)) % 15.43/15.79 (define @t422 () (forall @t25 @t421)) % 15.43/15.79 (define @t423 () (and @t422 @t418)) % 15.43/15.79 (define @t424 () (not @t419)) % 15.43/15.79 (define @t425 () (and @t424 @t414 @t413)) % 15.43/15.79 (define @t426 () (or @t419 @t123 @t121)) % 15.43/15.79 (define @t427 () (and @t8 @t426)) % 15.43/15.79 (define @t428 () (and (=> @t106 @t420) (=> @t427 @t106))) % 15.43/15.79 (define @t429 () (forall @t22 (not @t125))) % 15.43/15.79 (define @t430 () (not @t429)) % 15.43/15.79 (define @t431 () (not (= @t301 @t297))) % 15.43/15.79 (define @t432 () (or @t198 @t431)) % 15.43/15.79 (define @t433 () (forall @t22 @t432)) % 15.43/15.79 (define @t434 () (not @t433)) % 15.43/15.79 (define @t435 () (and @t4 @t434 @t298 @t296)) % 15.43/15.79 (define @t436 () (or @t302 @t435)) % 15.43/15.79 (define @t437 () (and @t263 @t436 @t300 @t294 (= @t293 @t290) @t291 @t289 @t261)) % 15.43/15.79 (define @t438 () (or @t267 (= @t250 tptp.sz00) @t437)) % 15.43/15.79 (define @t439 () (forall @t327 (or @t325 @t21 (and @t134 @t323 @t320 @t294 (= @t316 @t313) (= @t311 @t309) @t307 @t305)))) % 15.43/15.79 (define @t440 () (or @t267 @t265 @t303)) % 15.43/15.79 (assume @p1 (forall @t3 (=> @t2 true))) % 15.43/15.79 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 15.43/15.79 (assume @p3 @t4) % 15.43/15.79 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t5)))) % 15.43/15.79 (assume @p5 (forall @t10 (=> @t9 (tptp.aInteger0 @t7)))) % 15.43/15.79 (assume @p6 (forall @t10 (=> @t9 (tptp.aInteger0 @t11)))) % 15.43/15.79 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t1 @t13) (tptp.sdtpldt0 @t7 @t12))))) % 15.43/15.79 (assume @p8 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 15.43/15.79 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.43/15.79 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 15.43/15.79 (assume @p11 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtasdt0 @t11 @t12))))) % 15.43/15.79 (assume @p12 (forall @t10 (=> @t9 (= @t11 (tptp.sdtasdt0 @t6 @t1))))) % 15.43/15.79 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 15.43/15.79 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t18)) (= (tptp.sdtasdt0 @t7 @t12) (tptp.sdtpldt0 @t18 @t17)))))) % 15.43/15.79 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.43/15.79 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t19 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t19)))))) % 15.43/15.79 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t21 @t20))))) % 15.43/15.79 (assume @p18 (forall @t3 (=> @t2 (forall @t25 (= @t24 (and @t8 @t23 (exists @t22 (and @t14 (= @t17 @t1))))))))) % 15.43/15.79 (assume @p19 (forall @t16 (=> @t28 (= @t26 (tptp.aDivisorOf0 @t12 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6))))))) % 15.43/15.79 (assume @p20 (forall @t10 (=> @t29 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t6)))) % 15.43/15.79 (assume @p21 (forall @t16 (=> @t28 (=> @t26 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t1 @t12))))) % 15.43/15.79 (assume @p22 (forall @t32 (=> (and @t2 @t8 @t14 @t27 @t31) (=> (and @t26 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t30 @t12)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t30 @t12))))) % 15.43/15.79 (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)))))) % 15.43/15.79 (assume @p24 (forall @t3 (=> (and @t2 @t33) (=> (tptp.isPrime0 @t1) true)))) % 15.43/15.79 (assume @p25 (forall @t3 (=> @t2 (= (exists @t25 (and @t24 @t36)) (and (not @t35) (not @t34)))))) % 15.43/15.79 (assume @p26 (forall @t3 (=> @t37 true))) % 15.43/15.79 (assume @p27 (forall @t3 (=> @t37 (forall @t25 (=> @t38 true))))) % 15.43/15.79 (assume @p28 (forall @t3 (=> @t37 (forall @t25 (= (tptp.aSubsetOf0 @t6 @t1) (and @t41 (forall @t22 (=> @t40 @t39)))))))) % 15.43/15.79 (assume @p29 (forall @t3 (=> @t37 (=> @t42 true)))) % 15.43/15.79 (assume @p30 (forall @t10 (=> @t51 (forall @t22 (= (= @t12 @t48) (and @t47 (forall @t46 (= @t45 (and @t31 (or @t44 @t43)))))))))) % 15.43/15.79 (assume @p31 (forall @t10 (=> @t51 (forall @t22 (= (= @t12 @t52) (and @t47 (forall @t46 (= @t45 (and @t31 @t44 @t43))))))))) % 15.43/15.79 (assume @p32 (forall @t3 (=> (and @t37 (forall @t25 (=> @t38 @t49))) (forall @t25 (= (= @t6 @t53) (and @t41 (forall @t22 (= @t40 (and @t14 (exists @t46 (and @t44 (tptp.aElementOf0 @t12 @t30)))))))))))) % 15.43/15.79 (assume @p33 (forall @t3 (=> @t50 (forall @t25 (= (= @t6 @t54) (and @t41 (forall @t22 (= @t40 (and @t14 (not @t39)))))))))) % 15.43/15.79 (assume @p34 (forall @t10 (=> @t29 (forall @t22 (= (= @t12 @t55) (and @t47 (forall @t46 (= @t45 (and @t31 (tptp.sdteqdtlpzmzozddtrp0 @t30 @t1 @t6)))))))))) % 15.43/15.79 (assume @p35 (forall @t3 (=> @t50 (= @t56 (forall @t25 (=> @t38 (exists @t22 (and @t14 @t27 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t6 @t12) @t1))))))))) % 15.43/15.79 (assume @p36 (forall @t3 (=> @t50 (= @t57 (tptp.isOpen0 @t54))))) % 15.43/15.79 (assume @p37 (forall @t3 (=> (and @t37 (forall @t25 (=> @t38 (and @t49 @t58)))) (tptp.isOpen0 @t53)))) % 15.43/15.79 (assume @p38 (forall @t10 (=> (and @t50 @t49 @t56 @t58) (tptp.isOpen0 @t52)))) % 15.43/15.79 (assume @p39 (forall @t10 (=> (and @t50 @t49 @t57 @t59) (tptp.isClosed0 @t48)))) % 15.43/15.79 (assume @p40 (forall @t3 (=> (and @t37 @t42 (forall @t25 (=> @t38 (and @t49 @t59)))) (tptp.isClosed0 @t53)))) % 15.43/15.79 (assume @p41 (forall @t10 (=> @t29 (and (tptp.aSubsetOf0 @t55 tptp.cS1395) (tptp.isClosed0 @t55))))) % 15.43/15.79 (assume @p42 (and (tptp.aSet0 tptp.xS) (forall @t3 (and (=> @t60 (exists @t25 (and @t8 @t23 @t36 @t70 @t69 @t62))) (=> (exists @t25 (and @t8 @t23 @t36 (=> (and @t70 @t69) @t62))) @t60))) (= tptp.xS tptp.cS2043))) % 15.43/15.79 (assume @p43 (and @t80 @t79 (tptp.aSet0 @t72) @t78 @t76 (= @t72 tptp.cS2076))) % 15.43/15.79 (assume @p44 (tptp.isFinite0 tptp.xS)) % 15.43/15.79 (assume @p45 (and @t80 @t79 @t78 @t102 (tptp.isOpen0 @t72) (tptp.isClosed0 @t71) @t80 @t79 @t78 @t102)) % 15.43/15.79 (assume @p46 @t139) % 15.43/15.79 (assume @p47 true) % 15.43/15.79 (step @p48 :rule refl :args (@t151)) % 15.43/15.79 (step @p49 :rule refl :args (@t158)) % 15.43/15.79 (step @p50 :rule and_elim :premises (@p42) :args (2)) % 15.43/15.79 (step @p51 :rule cong :premises (@p50) :args (@t71)) % 15.43/15.79 (step @p52 :rule cong :premises (@p51) :args (@t72)) % 15.43/15.79 (step @p53 :rule refl :args (@t55)) % 15.43/15.79 (step @p54 :rule cong :premises (@p53 @p52) :args (@t81)) % 15.43/15.79 (step @p55 :rule cong :premises (@p54) :args (@t159)) % 15.43/15.79 (step @p56 :rule refl :args (@t12)) % 15.43/15.79 (step @p57 :rule cong :premises (@p56 @p52) :args (@t82)) % 15.43/15.79 (step @p58 :rule refl :args (@t160)) % 15.43/15.79 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t161)) % 15.43/15.79 (step @p60 :rule cong :premises (@p59) :args (@t162)) % 15.43/15.79 (step @p61 :rule cong :premises (@p60) :args (@t163)) % 15.43/15.79 (step @p62 :rule refl :args (@t164)) % 15.43/15.79 (step @p63 :rule refl :args (@t165)) % 15.43/15.79 (step @p64 :rule refl :args (@t166)) % 15.43/15.79 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p55 @p49 @p48) :args (@t167)) % 15.43/15.79 (step @p66 :rule cong :premises (@p65) :args (@t168)) % 15.43/15.79 (step @p67 :rule cong :premises (@p66) :args (@t169)) % 15.43/15.79 (step @p68 :rule refl :args (@t1)) % 15.43/15.79 (step @p69 :rule cong :premises (@p68 @p52) :args (@t74)) % 15.43/15.79 (step @p70 :rule cong :premises (@p69) :args (@t170)) % 15.43/15.79 (step @p71 :rule nary_cong :premises (@p70 @p67) :args (@t171)) % 15.43/15.79 (step @p72 :rule cong :premises (@p71) :args ((forall @t3 @t171))) % 15.43/15.79 (step @p73 :rule bool-impl-elim :args (@t74 @t169)) % 15.43/15.79 (step @p74 :rule cong :premises (@p73) :args ((forall @t3 (=> @t74 @t169)))) % 15.43/15.79 (step @p75 :rule refl :args (@t151)) % 15.43/15.79 (step @p76 :rule refl :args (@t158)) % 15.43/15.79 (step @p77 :rule refl :args (@t159)) % 15.43/15.79 (step @p78 :rule refl :args (@t163)) % 15.43/15.79 (step @p79 :rule refl :args (@t164)) % 15.43/15.79 (step @p80 :rule bool-double-not-elim :args (@t165)) % 15.43/15.79 (step @p81 :rule refl :args (@t166)) % 15.43/15.79 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77 @p76 @p75) :args (@t174)) % 15.43/15.79 (step @p83 :rule aci_norm :args ((= (or @t166 (or @t173 (or @t164 (or @t163 (or @t159 (or @t158 @t151)))))) @t174))) % 15.43/15.79 (step @p84 :rule trans :premises (@p83 @p82)) % 15.43/15.79 (step @p85 :rule bool-and-de-morgan :args (@t157 @t150 true)) % 15.43/15.79 (step @p86 :rule nary_cong :premises (@p77 @p85) :args ((or @t159 (not @t175)))) % 15.43/15.79 (step @p87 :rule bool-and-de-morgan :args (@t81 @t157 (and @t150))) % 15.43/15.79 (step @p88 :rule trans :premises (@p87 @p86)) % 15.43/15.79 (step @p89 :rule nary_cong :premises (@p78 @p88) :args ((or @t163 (not (and @t81 @t157 @t150))))) % 15.43/15.79 (step @p90 :rule bool-and-de-morgan :args (@t162 @t81 (and @t157 @t150))) % 15.43/15.79 (step @p91 :rule trans :premises (@p90 @p89)) % 15.43/15.79 (step @p92 :rule nary_cong :premises (@p79 @p91) :args ((or @t164 (not (and @t162 @t81 @t157 @t150))))) % 15.43/15.79 (step @p93 :rule bool-and-de-morgan :args (@t98 @t162 (and @t81 @t157 @t150))) % 15.43/15.79 (step @p94 :rule trans :premises (@p93 @p92)) % 15.43/15.79 (step @p95 :rule refl :args (@t173)) % 15.43/15.79 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t173 (not (and @t98 @t162 @t81 @t157 @t150))))) % 15.43/15.79 (step @p97 :rule bool-and-de-morgan :args (@t172 @t98 (and @t162 @t81 @t157 @t150))) % 15.43/15.79 (step @p98 :rule trans :premises (@p97 @p96)) % 15.43/15.79 (step @p99 :rule nary_cong :premises (@p81 @p98) :args ((or @t166 (not (and @t172 @t98 @t162 @t81 @t157 @t150))))) % 15.43/15.79 (step @p100 :rule bool-and-de-morgan :args (@t8 @t172 (and @t98 @t162 @t81 @t157 @t150))) % 15.43/15.79 (step @p101 :rule trans :premises (@p100 @p99)) % 15.43/15.79 (step @p102 :rule trans :premises (@p101 @p84)) % 15.43/15.79 (step @p103 :rule cong :premises (@p102) :args (@t177)) % 15.43/15.79 (step @p104 :rule cong :premises (@p103) :args (@t178)) % 15.43/15.79 (step @p105 :rule exists-elim :args ((= (exists @t25 @t176) @t178))) % 15.43/15.79 (step @p106 :rule trans :premises (@p105 @p104)) % 15.43/15.79 (step @p107 :rule aci_norm :args ((= (and @t8 @t172 @t98 @t175 @t162 @t81) @t176))) % 15.43/15.79 (step @p108 :rule refl :args (@t81)) % 15.43/15.79 (step @p109 :rule bool-impl-elim :args (@t83 @t82)) % 15.43/15.79 (step @p110 :rule cong :premises (@p109) :args (@t84)) % 15.43/15.79 (step @p111 :rule refl :args (@t141)) % 15.43/15.79 (step @p112 :rule refl :args (@t142)) % 15.43/15.79 (step @p113 :rule refl :args (@t144)) % 15.43/15.79 (step @p114 :rule eq-symm :args (@t146 @t143)) % 15.43/15.79 (step @p115 :rule cong :premises (@p114) :args (@t179)) % 15.43/15.79 (step @p116 :rule refl :args (@t147)) % 15.43/15.79 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t180)) % 15.43/15.79 (step @p118 :rule nary_cong :premises (@p117 @p113 @p112) :args (@t181)) % 15.43/15.79 (step @p119 :rule refl :args (@t148)) % 15.43/15.79 (step @p120 :rule nary_cong :premises (@p119 @p118 @p111) :args (@t182)) % 15.43/15.79 (step @p121 :rule cong :premises (@p120) :args (@t183)) % 15.43/15.79 (step @p122 :rule quant-merge-prenex :args ((= (forall @t186 @t185) @t183))) % 15.43/15.79 (step @p123 :rule refl :args (@t141)) % 15.43/15.79 (step @p124 :rule quant-unused-vars :args ((= @t187 @t142))) % 15.43/15.79 (step @p125 :rule quant-unused-vars :args ((= @t188 @t144))) % 15.43/15.79 (step @p126 :rule alpha_equiv :args (@t189 (@list @t145) (@list @t30))) % 15.43/15.79 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t190)) % 15.43/15.79 (step @p128 :rule quant-miniscope-and :args ((= @t191 @t190))) % 15.43/15.79 (step @p129 :rule trans :premises (@p128 @p127)) % 15.43/15.79 (step @p130 :rule refl :args (@t148)) % 15.43/15.79 (step @p131 :rule nary_cong :premises (@p130 @p129 @p123) :args (@t192)) % 15.43/15.79 (step @p132 :rule quant-miniscope-or :args ((= @t185 @t192))) % 15.43/15.79 (step @p133 :rule trans :premises (@p132 @p131)) % 15.43/15.79 (step @p134 :rule symm :premises (@p133)) % 15.43/15.79 (step @p135 :rule cong :premises (@p134) :args (@t193)) % 15.43/15.79 (step @p136 :rule trans :premises (@p135 @p122)) % 15.43/15.79 (step @p137 :rule trans :premises (@p136 @p121)) % 15.43/15.79 (step @p138 :rule refl :args (@t157)) % 15.43/15.79 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((and @t157 @t193))) % 15.43/15.79 (step @p140 :rule alpha_equiv :args (@t200 @t201 (@list @t140))) % 15.43/15.79 (step @p141 :rule alpha_equiv :args (@t205 @t201 (@list @t152))) % 15.43/15.79 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t206)) % 15.43/15.79 (step @p143 :rule quant-miniscope-and :args ((= (forall @t22 (and @t204 @t199)) @t206))) % 15.43/15.79 (step @p144 :rule trans :premises (@p143 @p142)) % 15.43/15.79 (step @p145 :rule trans :premises (@p144 @p139)) % 15.43/15.79 (step @p146 :rule aci_norm :args ((= (or (or @t198 @t197) @t83) @t199))) % 15.43/15.79 (step @p147 :rule refl :args (@t83)) % 15.43/15.79 (step @p148 :rule refl :args (@t194)) % 15.43/15.79 (step @p149 :rule refl :args (@t195)) % 15.43/15.79 (step @p150 :rule bool-double-not-elim :args (@t196)) % 15.43/15.79 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args (@t208)) % 15.43/15.79 (step @p152 :rule aci_norm :args ((= (and @t207 (and @t195 @t194)) @t208))) % 15.43/15.79 (step @p153 :rule trans :premises (@p152 @p151)) % 15.43/15.79 (step @p154 :rule bool-or-de-morgan :args (@t87 @t85 false)) % 15.43/15.79 (step @p155 :rule refl :args (@t207)) % 15.43/15.79 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((and @t207 (not (or @t87 @t85))))) % 15.43/15.79 (step @p157 :rule bool-or-de-morgan :args (@t202 @t87 (or @t85))) % 15.43/15.79 (step @p158 :rule trans :premises (@p157 @p156)) % 15.43/15.79 (step @p159 :rule trans :premises (@p158 @p153)) % 15.43/15.79 (step @p160 :rule refl :args (@t198)) % 15.43/15.79 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t198 (not @t209)))) % 15.43/15.79 (step @p162 :rule bool-and-de-morgan :args (@t14 @t209 true)) % 15.43/15.79 (step @p163 :rule trans :premises (@p162 @p161)) % 15.43/15.79 (step @p164 :rule nary_cong :premises (@p163 @p147) :args ((or (not @t210) @t83))) % 15.43/15.79 (step @p165 :rule trans :premises (@p164 @p146)) % 15.43/15.79 (step @p166 :rule bool-impl-elim :args (@t210 @t83)) % 15.43/15.79 (step @p167 :rule trans :premises (@p166 @p165)) % 15.43/15.79 (step @p168 :rule bool-impl-elim :args (@t83 @t203)) % 15.43/15.79 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t211)) % 15.43/15.79 (step @p170 :rule cong :premises (@p169) :args ((forall @t22 @t211))) % 15.43/15.79 (step @p171 :rule trans :premises (@p170 @p145)) % 15.43/15.79 (step @p172 :rule refl :args (@t83)) % 15.43/15.79 (step @p173 :rule refl :args (@t85)) % 15.43/15.79 (step @p174 :rule refl :args (@t87)) % 15.43/15.79 (step @p175 :rule bool-and-de-morgan :args (@t31 @t88 true)) % 15.43/15.79 (step @p176 :rule cong :premises (@p175) :args (@t212)) % 15.43/15.79 (step @p177 :rule cong :premises (@p176) :args (@t213)) % 15.43/15.79 (step @p178 :rule exists-elim :args ((= @t90 @t213))) % 15.43/15.79 (step @p179 :rule trans :premises (@p178 @p177)) % 15.43/15.79 (step @p180 :rule nary_cong :premises (@p179 @p174 @p173) :args (@t91)) % 15.43/15.79 (step @p181 :rule refl :args (@t14)) % 15.43/15.79 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t92)) % 15.43/15.79 (step @p183 :rule cong :premises (@p182 @p172) :args (@t93)) % 15.43/15.79 (step @p184 :rule nary_cong :premises (@p181 @p179 @p174 @p173) :args (@t94)) % 15.43/15.79 (step @p185 :rule cong :premises (@p172 @p184) :args (@t95)) % 15.43/15.79 (step @p186 :rule nary_cong :premises (@p185 @p183) :args (@t96)) % 15.43/15.79 (step @p187 :rule cong :premises (@p186) :args (@t97)) % 15.43/15.79 (step @p188 :rule trans :premises (@p187 @p171)) % 15.43/15.79 (step @p189 :rule refl :args (@t98)) % 15.43/15.79 (step @p190 :rule eq-symm :args (@t6 tptp.sz00)) % 15.43/15.79 (step @p191 :rule cong :premises (@p190) :args (@t23)) % 15.43/15.79 (step @p192 :rule refl :args (@t8)) % 15.43/15.79 (step @p193 :rule nary_cong :premises (@p192 @p191 @p189 @p188 @p110 @p108) :args (@t99)) % 15.43/15.79 (step @p194 :rule trans :premises (@p193 @p107)) % 15.43/15.79 (step @p195 :rule cong :premises (@p194) :args (@t100)) % 15.43/15.79 (step @p196 :rule trans :premises (@p195 @p106)) % 15.43/15.79 (step @p197 :rule refl :args (@t74)) % 15.43/15.79 (step @p198 :rule cong :premises (@p197 @p196) :args (@t101)) % 15.43/15.79 (step @p199 :rule cong :premises (@p198) :args (@t102)) % 15.43/15.79 (step @p200 :rule trans :premises (@p199 @p74)) % 15.43/15.79 (step @p201 :rule trans :premises (@p200 @p72)) % 15.43/15.79 (step @p202 :rule and_elim :premises (@p45) :args (9)) % 15.43/15.79 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 15.43/15.79 (step @p204 :rule refl :args (@t215)) % 15.43/15.79 (step @p205 :rule refl :args (@t216)) % 15.43/15.79 (step @p206 :rule refl :args (@t218)) % 15.43/15.79 (step @p207 :rule eq-symm :args (@t217 @t146)) % 15.43/15.79 (step @p208 :rule cong :premises (@p207) 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@p401)) % 15.43/15.79 (step @p406 :rule bool-implies-de-morgan :args (@t110 @t386)) % 15.43/15.79 (step @p407 :rule trans :premises (@p406 @p405)) % 15.43/15.79 (step @p408 :rule refl :args (@t385)) % 15.43/15.79 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((and @t385 (not @t387)))) % 15.43/15.79 (step @p410 :rule trans :premises (@p409 @p400)) % 15.43/15.79 (step @p411 :rule bool-implies-de-morgan :args (@t385 @t387)) % 15.43/15.79 (step @p412 :rule trans :premises (@p411 @p410)) % 15.43/15.79 (step @p413 :rule refl :args (@t383)) % 15.43/15.79 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((and @t383 (not @t388)))) % 15.43/15.79 (step @p415 :rule trans :premises (@p414 @p399)) % 15.43/15.79 (step @p416 :rule bool-implies-de-morgan :args (@t383 @t388)) % 15.43/15.79 (step @p417 :rule trans :premises (@p416 @p415)) % 15.43/15.79 (step @p418 :rule nary_cong :premises (@p392 @p391 @p417) :args ((or @t325 @t21 @t390))) % 15.43/15.79 (step @p419 :rule refl :args (@t390)) % 15.43/15.79 (step @p420 :rule bool-double-not-elim :args (@t21)) % 15.43/15.79 (step @p421 :rule nary_cong :premises (@p392 @p420 @p419) :args (@t392)) % 15.43/15.79 (step @p422 :rule aci_norm :args ((= (or @t325 (or @t391 @t390)) @t392))) % 15.43/15.79 (step @p423 :rule trans :premises (@p422 @p421)) % 15.43/15.79 (step @p424 :rule bool-and-de-morgan :args (@t33 @t389 true)) % 15.43/15.79 (step @p425 :rule nary_cong :premises (@p392 @p424) :args ((or @t325 (not (and @t33 @t389))))) % 15.43/15.79 (step @p426 :rule bool-and-de-morgan :args (@t2 @t33 (and @t389))) % 15.43/15.79 (step @p427 :rule trans :premises (@p426 @p425)) % 15.43/15.79 (step @p428 :rule trans :premises (@p427 @p423)) % 15.43/15.79 (step @p429 :rule trans :premises (@p428 @p418)) % 15.43/15.79 (step @p430 :rule cong :premises (@p429) :args (@t394)) % 15.43/15.79 (step @p431 :rule trans :premises (@p430 @p398)) % 15.43/15.79 (step @p432 :rule cong :premises (@p431) :args (@t395)) % 15.43/15.79 (step @p433 :rule exists-elim :args ((= (exists @t3 @t393) @t395))) % 15.43/15.79 (step @p434 :rule trans :premises (@p433 @p432)) % 15.43/15.79 (step @p435 :rule refl :args (@t104)) % 15.43/15.79 (step @p436 :rule bool-impl-elim :args (@t106 @t105)) % 15.43/15.79 (step @p437 :rule cong :premises (@p436) :args (@t107)) % 15.43/15.79 (step @p438 :rule nary_cong :premises (@p437 @p435) :args (@t108)) % 15.43/15.79 (step @p439 :rule refl :args (@t110)) % 15.43/15.79 (step @p440 :rule cong :premises (@p439 @p438) :args (@t111)) % 15.43/15.79 (step @p441 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 15.43/15.79 (step @p442 :rule cong :premises (@p441) :args (@t396)) % 15.43/15.79 (step @p443 :rule cong :premises (@p442) :args (@t397)) % 15.43/15.79 (step @p444 :rule exists-elim :args ((= @t115 @t397))) % 15.43/15.79 (step @p445 :rule trans :premises (@p444 @p443)) % 15.43/15.79 (step @p446 :rule nary_cong :premises (@p192 @p445) :args (@t116)) % 15.43/15.79 (step @p447 :rule refl :args (@t109)) % 15.43/15.79 (step @p448 :rule cong :premises (@p447 @p446) :args (@t117)) % 15.43/15.79 (step @p449 :rule cong :premises (@p448) :args (@t118)) % 15.43/15.79 (step @p450 :rule refl :args (@t80)) % 15.43/15.79 (step @p451 :rule nary_cong :premises (@p450 @p449) :args (@t119)) % 15.43/15.79 (step @p452 :rule cong :premises (@p451 @p440) :args (@t120)) % 15.43/15.79 (step @p453 :rule aci_norm :args ((= (and @t134 (and @t380 @t378)) @t383))) % 15.43/15.79 (step @p454 :rule refl :args (@t370)) % 15.43/15.79 (step @p455 :rule refl :args (@t371)) % 15.43/15.79 (step @p456 :rule refl :args (@t373)) % 15.43/15.79 (step @p457 :rule eq-symm :args (@t374 @t372)) % 15.43/15.79 (step @p458 :rule cong :premises (@p457) :args (@t398)) % 15.43/15.79 (step @p459 :rule refl :args (@t375)) % 15.43/15.79 (step @p460 :rule nary_cong :premises (@p459 @p458) :args (@t399)) % 15.43/15.79 (step @p461 :rule nary_cong :premises (@p460 @p456 @p455) :args (@t400)) % 15.43/15.79 (step @p462 :rule refl :args (@t376)) % 15.43/15.79 (step @p463 :rule nary_cong :premises (@p462 @p461 @p454) :args (@t401)) % 15.43/15.79 (step @p464 :rule cong :premises (@p463) :args (@t402)) % 15.43/15.79 (step @p465 :rule quant-merge-prenex :args ((= (forall @t405 @t404) @t402))) % 15.43/15.79 (step @p466 :rule refl :args (@t370)) % 15.43/15.79 (step @p467 :rule quant-unused-vars :args ((= @t406 @t371))) % 15.43/15.79 (step @p468 :rule quant-unused-vars :args ((= @t407 @t373))) % 15.43/15.79 (step @p469 :rule alpha_equiv :args (@t408 (@list @t358) @t201)) % 15.43/15.79 (step @p470 :rule nary_cong :premises (@p469 @p468 @p467) :args (@t409)) % 15.43/15.79 (step @p471 :rule quant-miniscope-and :args ((= @t410 @t409))) % 15.43/15.79 (step @p472 :rule trans :premises (@p471 @p470)) % 15.43/15.79 (step @p473 :rule refl :args (@t376)) % 15.43/15.79 (step @p474 :rule nary_cong :premises (@p473 @p472 @p466) :args (@t411)) % 15.43/15.79 (step @p475 :rule quant-miniscope-or :args ((= @t404 @t411))) % 15.43/15.79 (step @p476 :rule trans :premises (@p475 @p474)) % 15.43/15.79 (step @p477 :rule symm :premises (@p476)) % 15.43/15.79 (step @p478 :rule cong :premises (@p477) :args (@t412)) % 15.43/15.79 (step @p479 :rule trans :premises (@p478 @p465)) % 15.43/15.79 (step @p480 :rule trans :premises (@p479 @p464)) % 15.43/15.79 (step @p481 :rule refl :args (@t380)) % 15.43/15.79 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((and @t380 @t412))) % 15.43/15.79 (step @p483 :rule alpha_equiv :args (@t418 @t352 (@list @t359))) % 15.43/15.79 (step @p484 :rule alpha_equiv :args (@t422 @t352 @t363)) % 15.43/15.79 (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t423)) % 15.43/15.79 (step @p486 :rule quant-miniscope-and :args ((= (forall @t25 (and @t421 @t417)) @t423))) % 15.43/15.79 (step @p487 :rule trans :premises (@p486 @p485)) % 15.43/15.79 (step @p488 :rule trans :premises (@p487 @p482)) % 15.43/15.79 (step @p489 :rule aci_norm :args ((= (or (or @t166 @t416) @t106) @t417))) % 15.43/15.79 (step @p490 :rule refl :args (@t106)) % 15.43/15.79 (step @p491 :rule refl :args (@t413)) % 15.43/15.79 (step @p492 :rule refl :args (@t414)) % 15.43/15.79 (step @p493 :rule bool-double-not-elim :args (@t415)) % 15.43/15.79 (step @p494 :rule nary_cong :premises (@p493 @p492 @p491) :args (@t425)) % 15.43/15.79 (step @p495 :rule aci_norm :args ((= (and @t424 (and @t414 @t413)) @t425))) % 15.43/15.79 (step @p496 :rule trans :premises (@p495 @p494)) % 15.43/15.79 (step @p497 :rule bool-or-de-morgan :args (@t123 @t121 false)) % 15.43/15.79 (step @p498 :rule refl :args (@t424)) % 15.43/15.79 (step @p499 :rule nary_cong :premises (@p498 @p497) :args ((and @t424 (not (or @t123 @t121))))) % 15.43/15.79 (step @p500 :rule bool-or-de-morgan :args (@t419 @t123 (or @t121))) % 15.43/15.79 (step @p501 :rule trans :premises (@p500 @p499)) % 15.43/15.79 (step @p502 :rule trans :premises (@p501 @p496)) % 15.43/15.79 (step @p503 :rule nary_cong :premises (@p81 @p502) :args ((or @t166 (not @t426)))) % 15.43/15.79 (step @p504 :rule bool-and-de-morgan :args (@t8 @t426 true)) % 15.43/15.79 (step @p505 :rule trans :premises (@p504 @p503)) % 15.43/15.79 (step @p506 :rule nary_cong :premises (@p505 @p490) :args ((or (not @t427) @t106))) % 15.43/15.79 (step @p507 :rule trans :premises (@p506 @p489)) % 15.43/15.79 (step @p508 :rule bool-impl-elim :args (@t427 @t106)) % 15.43/15.79 (step @p509 :rule trans :premises (@p508 @p507)) % 15.43/15.79 (step @p510 :rule bool-impl-elim :args (@t106 @t420)) % 15.43/15.79 (step @p511 :rule nary_cong :premises (@p510 @p509) :args (@t428)) % 15.43/15.79 (step @p512 :rule cong :premises (@p511) :args ((forall @t25 @t428))) % 15.43/15.79 (step @p513 :rule trans :premises (@p512 @p488)) % 15.43/15.79 (step @p514 :rule refl :args (@t106)) % 15.43/15.79 (step @p515 :rule refl :args (@t121)) % 15.43/15.79 (step @p516 :rule refl :args (@t123)) % 15.43/15.79 (step @p517 :rule bool-and-de-morgan :args (@t14 @t124 true)) % 15.43/15.79 (step @p518 :rule cong :premises (@p517) :args (@t429)) % 15.43/15.79 (step @p519 :rule cong :premises (@p518) :args (@t430)) % 15.43/15.79 (step @p520 :rule exists-elim :args ((= @t126 @t430))) % 15.43/15.79 (step @p521 :rule trans :premises (@p520 @p519)) % 15.43/15.79 (step @p522 :rule nary_cong :premises (@p521 @p516 @p515) :args (@t127)) % 15.43/15.79 (step @p523 :rule nary_cong :premises (@p192 @p522) :args (@t128)) % 15.43/15.79 (step @p524 :rule cong :premises (@p523 @p514) :args (@t129)) % 15.43/15.79 (step @p525 :rule nary_cong :premises (@p192 @p521 @p516 @p515) :args (@t130)) % 15.43/15.79 (step @p526 :rule cong :premises (@p514 @p525) :args (@t131)) % 15.43/15.79 (step @p527 :rule nary_cong :premises (@p526 @p524) :args (@t132)) % 15.43/15.79 (step @p528 :rule cong :premises (@p527) :args (@t133)) % 15.43/15.79 (step @p529 :rule trans :premises (@p528 @p513)) % 15.43/15.79 (step @p530 :rule nary_cong :premises (@p332 @p529) :args (@t135)) % 15.43/15.79 (step @p531 :rule trans :premises (@p530 @p453)) % 15.43/15.79 (step @p532 :rule cong :premises (@p531 @p452) :args (@t136)) % 15.43/15.79 (step @p533 :rule refl :args (@t33)) % 15.43/15.79 (step @p534 :rule refl :args (@t2)) % 15.43/15.79 (step @p535 :rule nary_cong :premises (@p534 @p533 @p532) :args (@t137)) % 15.43/15.79 (step @p536 :rule cong :premises (@p535) :args (@t138)) % 15.43/15.79 (step @p537 :rule trans :premises (@p536 @p434)) % 15.43/15.79 (step @p538 :rule cong :premises (@p537) :args (@t139)) % 15.43/15.79 (step @p539 :rule trans :premises (@p538 @p370)) % 15.43/15.79 (step @p540 :rule trans :premises (@p539 @p369)) % 15.43/15.79 (step @p541 :rule eq_resolve :premises (@p46 @p540)) % 15.43/15.79 (step @p542 :rule refl :args (@t289)) % 15.43/15.79 (step @p543 :rule refl :args (@t291)) % 15.43/15.79 (step @p544 :rule eq-symm :args (@t293 @t290)) % 15.43/15.79 (step @p545 :rule refl :args (@t300)) % 15.43/15.79 (step @p546 :rule refl :args (@t296)) % 15.43/15.79 (step @p547 :rule refl :args (@t298)) % 15.43/15.79 (step @p548 :rule eq-symm :args (@t301 @t297)) % 15.43/15.79 (step @p549 :rule cong :premises (@p548) :args (@t431)) % 15.43/15.79 (step @p550 :rule refl :args (@t198)) % 15.43/15.79 (step @p551 :rule nary_cong :premises (@p550 @p549) :args (@t432)) % 15.43/15.79 (step @p552 :rule cong :premises (@p551) :args (@t433)) % 15.43/15.79 (step @p553 :rule cong :premises (@p552) :args (@t434)) % 15.43/15.79 (step @p554 :rule refl :args (@t4)) % 15.43/15.79 (step @p555 :rule nary_cong :premises (@p554 @p553 @p547 @p546) :args (@t435)) % 15.43/15.79 (step @p556 :rule refl :args (@t302)) % 15.43/15.79 (step @p557 :rule nary_cong :premises (@p556 @p555) :args (@t436)) % 15.43/15.79 (step @p558 :rule refl :args (@t263)) % 15.43/15.79 (step @p559 :rule nary_cong :premises (@p558 @p557 @p545 @p329 @p544 @p543 @p542 @p290) :args (@t437)) % 15.43/15.79 (step @p560 :rule eq-symm :args (@t250 tptp.sz00)) % 15.43/15.79 (step @p561 :rule nary_cong :premises (@p294 @p560 @p559) :args (@t438)) % 15.43/15.79 (step @p562 :rule refl :args (@t439)) % 15.43/15.79 (step @p563 :rule cong :premises (@p562 @p561) :args ((=> @t439 @t438))) % 15.43/15.79 (assume-push @p580 @t439) % 15.43/15.79 (step @p565 :rule instantiate :premises (@p541) :args ((@list @t250 tptp.sz10 tptp.sz10 tptp.sz10 tptp.sz10 tptp.sz10))) % 15.43/15.79 (step-pop @p581 :rule scope :premises (@p565)) % 15.43/15.79 (step @p566 :rule process_scope :premises (@p581) :args (@t438)) % 15.43/15.79 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 15.43/15.79 (step @p569 :rule implies_elim :premises (@p568)) % 15.43/15.79 (step @p570 :rule chain_m_resolution :premises (@p569 @p541) :args (@t440 @t245 (@list @t439))) % 15.43/15.79 (step @p571 :rule cnf_or_pos :args (@t440)) % 15.43/15.79 (step @p572 :rule reordering :premises (@p571) :args ((or @t267 @t265 @t303 (not @t440)))) % 15.43/15.79 (step @p573 false :rule chain_m_resolution :premises (@p572 @p570 @p324 @p315 @p313) :args (false (@list false true true false) (@list @t440 @t303 @t265 @t266))) % 15.43/15.79 ) % 15.43/15.79 % SZS output end Proof % 15.43/15.79 % cvc5 exiting %------------------------------------------------------------------------------