%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM453+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 : n011.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 15.88s 16.12s % Output : Proof 15.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM453+6 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:21:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.88/16.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.88/16.12 --- Run --no-e-matching --full-saturate-quant at 6... % 15.88/16.12 % SZS status Theorem % 15.88/16.12 % SZS output start Proof % 15.88/16.12 ( % 15.88/16.12 (declare-sort $$unsorted 0) % 15.88/16.12 (declare-const tptp.cS2076 $$unsorted) % 15.88/16.12 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.cS1395 $$unsorted) % 15.88/16.12 (declare-const tptp.xp $$unsorted) % 15.88/16.12 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.xS $$unsorted) % 15.88/16.12 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.cS2043 $$unsorted) % 15.88/16.12 (declare-const tptp.sz10 $$unsorted) % 15.88/16.12 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.sz00 $$unsorted) % 15.88/16.12 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.12 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.88/16.12 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 15.88/16.12 (define @t1 () (@var "W0" $$unsorted)) % 15.88/16.12 (define @t2 () (tptp.aInteger0 @t1)) % 15.88/16.12 (define @t3 () (@list @t1)) % 15.88/16.12 (define @t4 () (tptp.aInteger0 tptp.sz10)) % 15.88/16.12 (define @t5 () (tptp.smndt0 @t1)) % 15.88/16.12 (define @t6 () (tptp.aInteger0 @t5)) % 15.88/16.12 (define @t7 () (forall @t3 (=> @t2 @t6))) % 15.88/16.12 (define @t8 () (@var "W1" $$unsorted)) % 15.88/16.12 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 15.88/16.12 (define @t10 () (tptp.aInteger0 @t8)) % 15.88/16.12 (define @t11 () (and @t2 @t10)) % 15.88/16.12 (define @t12 () (@list @t1 @t8)) % 15.88/16.12 (define @t13 () (tptp.sdtasdt0 @t1 @t8)) % 15.88/16.12 (define @t14 () (tptp.aInteger0 @t13)) % 15.88/16.12 (define @t15 () (forall @t12 (=> @t11 @t14))) % 15.88/16.12 (define @t16 () (@var "W2" $$unsorted)) % 15.88/16.12 (define @t17 () (tptp.sdtpldt0 @t8 @t16)) % 15.88/16.12 (define @t18 () (= (tptp.sdtpldt0 @t1 @t17) (tptp.sdtpldt0 @t9 @t16))) % 15.88/16.12 (define @t19 () (tptp.aInteger0 @t16)) % 15.88/16.12 (define @t20 () (and @t2 @t10 @t19)) % 15.88/16.12 (define @t21 () (@list @t1 @t8 @t16)) % 15.88/16.12 (define @t22 () (forall @t21 (=> @t20 @t18))) % 15.88/16.12 (define @t23 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 15.88/16.12 (define @t24 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 15.88/16.12 (define @t25 () (and (= @t24 @t1) @t23)) % 15.88/16.12 (define @t26 () (=> @t2 @t25)) % 15.88/16.12 (define @t27 () (forall @t3 @t26)) % 15.88/16.12 (define @t28 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 15.88/16.12 (define @t29 () (tptp.sdtpldt0 @t1 @t5)) % 15.88/16.12 (define @t30 () (and (= @t29 tptp.sz00) @t28)) % 15.88/16.12 (define @t31 () (=> @t2 @t30)) % 15.88/16.12 (define @t32 () (forall @t3 @t31)) % 15.88/16.12 (define @t33 () (tptp.sdtasdt0 @t8 @t16)) % 15.88/16.12 (define @t34 () (= @t13 (tptp.sdtasdt0 @t8 @t1))) % 15.88/16.12 (define @t35 () (forall @t12 (=> @t11 @t34))) % 15.88/16.12 (define @t36 () (tptp.sdtasdt0 @t1 @t16)) % 15.88/16.12 (define @t37 () (tptp.smndt0 tptp.sz10)) % 15.88/16.12 (define @t38 () (= @t5 (tptp.sdtasdt0 @t1 @t37))) % 15.88/16.12 (define @t39 () (tptp.sdtasdt0 @t37 @t1)) % 15.88/16.12 (define @t40 () (and (= @t39 @t5) @t38)) % 15.88/16.12 (define @t41 () (=> @t2 @t40)) % 15.88/16.12 (define @t42 () (forall @t3 @t41)) % 15.88/16.12 (define @t43 () (= @t8 tptp.sz00)) % 15.88/16.12 (define @t44 () (= @t1 tptp.sz00)) % 15.88/16.12 (define @t45 () (@list @t16)) % 15.88/16.12 (define @t46 () (not @t43)) % 15.88/16.12 (define @t47 () (tptp.aDivisorOf0 @t8 @t1)) % 15.88/16.12 (define @t48 () (@list @t8)) % 15.88/16.12 (define @t49 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t16)) % 15.88/16.12 (define @t50 () (not (= @t16 tptp.sz00))) % 15.88/16.12 (define @t51 () (and @t2 @t10 @t19 @t50)) % 15.88/16.12 (define @t52 () (and @t2 @t10 @t46)) % 15.88/16.12 (define @t53 () (@var "W3" $$unsorted)) % 15.88/16.12 (define @t54 () (tptp.aInteger0 @t53)) % 15.88/16.12 (define @t55 () (@list @t1 @t8 @t16 @t53)) % 15.88/16.12 (define @t56 () (= @t1 @t37)) % 15.88/16.12 (define @t57 () (= @t1 tptp.sz10)) % 15.88/16.12 (define @t58 () (tptp.isPrime0 @t8)) % 15.88/16.12 (define @t59 () (tptp.aSet0 @t1)) % 15.88/16.12 (define @t60 () (tptp.aElementOf0 @t8 @t1)) % 15.88/16.12 (define @t61 () (tptp.aElementOf0 @t16 @t1)) % 15.88/16.12 (define @t62 () (tptp.aElementOf0 @t16 @t8)) % 15.88/16.12 (define @t63 () (tptp.aSet0 @t8)) % 15.88/16.12 (define @t64 () (tptp.isFinite0 @t1)) % 15.88/16.12 (define @t65 () (tptp.aElementOf0 @t53 @t8)) % 15.88/16.12 (define @t66 () (tptp.aElementOf0 @t53 @t1)) % 15.88/16.12 (define @t67 () (tptp.aElementOf0 @t53 @t16)) % 15.88/16.12 (define @t68 () (@list @t53)) % 15.88/16.12 (define @t69 () (tptp.aSet0 @t16)) % 15.88/16.12 (define @t70 () (tptp.sdtbsmnsldt0 @t1 @t8)) % 15.88/16.12 (define @t71 () (tptp.aSubsetOf0 @t8 tptp.cS1395)) % 15.88/16.12 (define @t72 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 15.88/16.12 (define @t73 () (and @t72 @t71)) % 15.88/16.12 (define @t74 () (tptp.sdtslmnbsdt0 @t1 @t8)) % 15.88/16.12 (define @t75 () (tptp.sbsmnsldt0 @t1)) % 15.88/16.12 (define @t76 () (tptp.stldt0 @t1)) % 15.88/16.12 (define @t77 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t8)) % 15.88/16.12 (define @t78 () (tptp.isOpen0 @t1)) % 15.88/16.12 (define @t79 () (tptp.isClosed0 @t1)) % 15.88/16.12 (define @t80 () (tptp.isOpen0 @t8)) % 15.88/16.12 (define @t81 () (tptp.isClosed0 @t8)) % 15.88/16.12 (define @t82 () (tptp.aElementOf0 @t1 tptp.xS)) % 15.88/16.12 (define @t83 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t8)) % 15.88/16.12 (define @t84 () (= @t83 @t1)) % 15.88/16.12 (define @t85 () (tptp.aElementOf0 @t16 @t83)) % 15.88/16.12 (define @t86 () (tptp.sdteqdtlpzmzozddtrp0 @t16 tptp.sz00 @t8)) % 15.88/16.12 (define @t87 () (tptp.sdtpldt0 @t16 (tptp.smndt0 tptp.sz00))) % 15.88/16.12 (define @t88 () (tptp.aDivisorOf0 @t8 @t87)) % 15.88/16.12 (define @t89 () (tptp.sdtasdt0 @t8 @t53)) % 15.88/16.12 (define @t90 () (exists @t68 (and @t54 (= @t89 @t87)))) % 15.88/16.12 (define @t91 () (forall @t45 (and (=> @t85 (and @t19 @t90 @t88 @t86)) (=> (and @t19 (or @t90 @t88 @t86)) @t85)))) % 15.88/16.12 (define @t92 () (tptp.aSet0 @t83)) % 15.88/16.12 (define @t93 () (tptp.sbsmnsldt0 tptp.xS)) % 15.88/16.12 (define @t94 () (tptp.stldt0 @t93)) % 15.88/16.12 (define @t95 () (tptp.aElementOf0 @t1 @t94)) % 15.88/16.12 (define @t96 () (tptp.aElementOf0 @t1 @t93)) % 15.88/16.12 (define @t97 () (forall @t3 (= @t95 (and @t2 (not @t96))))) % 15.88/16.12 (define @t98 () (forall @t3 (= @t96 (and @t2 (exists @t48 (and (tptp.aElementOf0 @t8 tptp.xS) (tptp.aElementOf0 @t1 @t8))))))) % 15.88/16.12 (define @t99 () (tptp.aSet0 @t93)) % 15.88/16.12 (define @t100 () (tptp.aElementOf0 @t16 @t77)) % 15.88/16.12 (define @t101 () (tptp.sdteqdtlpzmzozddtrp0 @t16 @t1 @t8)) % 15.88/16.12 (define @t102 () (tptp.sdtpldt0 @t16 @t5)) % 15.88/16.12 (define @t103 () (tptp.aDivisorOf0 @t8 @t102)) % 15.88/16.12 (define @t104 () (exists @t68 (and @t54 (= @t89 @t102)))) % 15.88/16.12 (define @t105 () (forall @t3 (=> @t95 (exists @t48 (and @t10 @t46 (tptp.aSet0 @t77) (forall @t45 (and (=> @t100 (and @t19 @t104 @t103 @t101)) (=> (and @t19 (or @t104 @t103 @t101)) @t100))) (forall @t45 (=> @t100 (tptp.aElementOf0 @t16 @t94))) (tptp.aSubsetOf0 @t77 @t94)))))) % 15.88/16.12 (define @t106 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)) % 15.88/16.12 (define @t107 () (tptp.aElementOf0 @t1 @t106)) % 15.88/16.12 (define @t108 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.sz10 tptp.xp)) % 15.88/16.12 (define @t109 () (tptp.sdtpldt0 @t1 @t37)) % 15.88/16.12 (define @t110 () (tptp.aDivisorOf0 tptp.xp @t109)) % 15.88/16.12 (define @t111 () (exists @t48 (and @t10 (= (tptp.sdtasdt0 tptp.xp @t8) @t109)))) % 15.88/16.12 (define @t112 () (tptp.aInteger0 tptp.xp)) % 15.88/16.12 (define @t113 () (tptp.smndt0 tptp.xp)) % 15.88/16.12 (define @t114 () (tptp.sdtpldt0 tptp.sz10 @t113)) % 15.88/16.12 (define @t115 () (tptp.sdtpldt0 @t114 @t37)) % 15.88/16.12 (define @t116 () (tptp.sdtasdt0 tptp.xp @t1)) % 15.88/16.12 (define @t117 () (tptp.sdtpldt0 tptp.sz10 tptp.xp)) % 15.88/16.12 (define @t118 () (tptp.sdtpldt0 @t117 @t37)) % 15.88/16.12 (define @t119 () (not (= @t114 tptp.sz10))) % 15.88/16.12 (define @t120 () (not (= @t117 tptp.sz10))) % 15.88/16.12 (define @t121 () (and @t120 @t119)) % 15.88/16.12 (define @t122 () (not @t121)) % 15.88/16.12 (define @t123 () (and (= @t1 @t24) @t23)) % 15.88/16.12 (define @t124 () (@list tptp.sz10)) % 15.88/16.12 (define @t125 () (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00))) % 15.88/16.12 (define @t126 () (and @t125 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10)))) % 15.88/16.12 (define @t127 () (not @t4)) % 15.88/16.12 (define @t128 () (or @t127 @t126)) % 15.88/16.12 (define @t129 () (@list false false)) % 15.88/16.12 (define @t130 () (@list false)) % 15.88/16.12 (define @t131 () (and (= tptp.sz00 @t29) @t28)) % 15.88/16.12 (define @t132 () (tptp.sdtpldt0 @t37 tptp.sz10)) % 15.88/16.12 (define @t133 () (= tptp.sz00 @t132)) % 15.88/16.12 (define @t134 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.sz10 @t37)) @t133)) % 15.88/16.12 (define @t135 () (or @t127 @t134)) % 15.88/16.12 (define @t136 () (@list tptp.xp)) % 15.88/16.12 (define @t137 () (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp))) % 15.88/16.12 (define @t138 () (and (= tptp.xp (tptp.sdtpldt0 tptp.xp tptp.sz00)) @t137)) % 15.88/16.12 (define @t139 () (not @t112)) % 15.88/16.12 (define @t140 () (or @t139 @t138)) % 15.88/16.12 (define @t141 () (not @t10)) % 15.88/16.12 (define @t142 () (not @t2)) % 15.88/16.12 (define @t143 () (or @t142 @t141 @t34)) % 15.88/16.12 (define @t144 () (or @t142 @t141)) % 15.88/16.12 (define @t145 () (not @t11)) % 15.88/16.12 (define @t146 () (tptp.sdtasdt0 tptp.sz10 @t37)) % 15.88/16.12 (define @t147 () (tptp.sdtasdt0 @t37 tptp.sz10)) % 15.88/16.12 (define @t148 () (tptp.aInteger0 @t37)) % 15.88/16.12 (define @t149 () (not @t148)) % 15.88/16.12 (define @t150 () (or @t127 @t149 (= @t146 @t147))) % 15.88/16.12 (define @t151 () (forall @t12 @t143)) % 15.88/16.12 (define @t152 () (@list tptp.sz10 @t37)) % 15.88/16.12 (define @t153 () (= @t147 @t146)) % 15.88/16.12 (define @t154 () (or @t127 @t149 @t153)) % 15.88/16.12 (define @t155 () (or @t127 @t148)) % 15.88/16.12 (define @t156 () (@list false false false)) % 15.88/16.12 (define @t157 () (and (= @t5 @t39) @t38)) % 15.88/16.12 (define @t158 () (= @t37 @t147)) % 15.88/16.12 (define @t159 () (and @t158 (= @t37 @t146))) % 15.88/16.12 (define @t160 () (or @t127 @t159)) % 15.88/16.12 (define @t161 () (not @t19)) % 15.88/16.12 (define @t162 () (or @t142 @t141 @t161)) % 15.88/16.12 (define @t163 () (tptp.aInteger0 @t146)) % 15.88/16.12 (define @t164 () (or @t127 @t149 @t163)) % 15.88/16.12 (define @t165 () (tptp.sdtpldt0 @t146 tptp.sz10)) % 15.88/16.12 (define @t166 () (tptp.sdtpldt0 @t165 tptp.xp)) % 15.88/16.12 (define @t167 () (= (tptp.sdtpldt0 @t146 @t117) @t166)) % 15.88/16.12 (define @t168 () (not @t163)) % 15.88/16.12 (define @t169 () (or @t168 @t127 @t139 @t167)) % 15.88/16.12 (define @t170 () (@list false false false false)) % 15.88/16.12 (define @t171 () (= tptp.sz10 @t117)) % 15.88/16.12 (define @t172 () (= tptp.sz00 tptp.xp)) % 15.88/16.12 (define @t173 () (and @t171 @t133 @t137 @t158 @t153 @t167)) % 15.88/16.12 (define @t174 () (not @t171)) % 15.88/16.12 (define @t175 () (= tptp.sz10 @t114)) % 15.88/16.12 (define @t176 () (not @t175)) % 15.88/16.12 (define @t177 () (not @t174)) % 15.88/16.12 (define @t178 () (tptp.sdtpldt0 @t113 tptp.xp)) % 15.88/16.12 (define @t179 () (= tptp.sz00 @t178)) % 15.88/16.12 (define @t180 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xp @t113)) @t179)) % 15.88/16.12 (define @t181 () (or @t139 @t180)) % 15.88/16.12 (define @t182 () (tptp.aInteger0 @t113)) % 15.88/16.12 (define @t183 () (or @t139 @t182)) % 15.88/16.12 (define @t184 () (tptp.sdtpldt0 @t114 tptp.xp)) % 15.88/16.12 (define @t185 () (tptp.sdtpldt0 tptp.sz10 @t178)) % 15.88/16.12 (define @t186 () (= @t185 @t184)) % 15.88/16.12 (define @t187 () (not @t182)) % 15.88/16.12 (define @t188 () (or @t127 @t187 @t139 @t186)) % 15.88/16.12 (define @t189 () (not @t186)) % 15.88/16.12 (define @t190 () (not @t179)) % 15.88/16.12 (define @t191 () (not @t125)) % 15.88/16.12 (define @t192 () (and @t186 @t189)) % 15.88/16.12 (assume @p1 (forall @t3 (=> @t2 true))) % 15.88/16.12 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 15.88/16.12 (assume @p3 @t4) % 15.88/16.12 (assume @p4 @t7) % 15.88/16.12 (assume @p5 (forall @t12 (=> @t11 (tptp.aInteger0 @t9)))) % 15.88/16.12 (assume @p6 @t15) % 15.88/16.12 (assume @p7 @t22) % 15.88/16.12 (assume @p8 (forall @t12 (=> @t11 (= @t9 (tptp.sdtpldt0 @t8 @t1))))) % 15.88/16.12 (assume @p9 @t27) % 15.88/16.12 (assume @p10 @t32) % 15.88/16.12 (assume @p11 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t1 @t33) (tptp.sdtasdt0 @t13 @t16))))) % 15.88/16.12 (assume @p12 @t35) % 15.88/16.12 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 15.88/16.12 (assume @p14 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t13 @t36)) (= (tptp.sdtasdt0 @t9 @t16) (tptp.sdtpldt0 @t36 @t33)))))) % 15.88/16.12 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.88/16.12 (assume @p16 @t42) % 15.88/16.12 (assume @p17 (forall @t12 (=> @t11 (=> (= @t13 tptp.sz00) (or @t44 @t43))))) % 15.88/16.12 (assume @p18 (forall @t3 (=> @t2 (forall @t48 (= @t47 (and @t10 @t46 (exists @t45 (and @t19 (= @t33 @t1))))))))) % 15.88/16.12 (assume @p19 (forall @t21 (=> @t51 (= @t49 (tptp.aDivisorOf0 @t16 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 15.88/16.12 (assume @p20 (forall @t12 (=> @t52 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 15.88/16.12 (assume @p21 (forall @t21 (=> @t51 (=> @t49 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t1 @t16))))) % 15.88/16.12 (assume @p22 (forall @t55 (=> (and @t2 @t10 @t19 @t50 @t54) (=> (and @t49 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t53 @t16)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t53 @t16))))) % 15.88/16.12 (assume @p23 (forall @t55 (=> (and @t2 @t10 @t19 @t50 @t54 (not (= @t53 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 (tptp.sdtasdt0 @t16 @t53)) (and @t49 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t53)))))) % 15.88/16.12 (assume @p24 (forall @t3 (=> (and @t2 (not @t44)) (=> (tptp.isPrime0 @t1) true)))) % 15.88/16.12 (assume @p25 (forall @t3 (=> @t2 (= (exists @t48 (and @t47 @t58)) (and (not @t57) (not @t56)))))) % 15.88/16.12 (assume @p26 (forall @t3 (=> @t59 true))) % 15.88/16.12 (assume @p27 (forall @t3 (=> @t59 (forall @t48 (=> @t60 true))))) % 15.88/16.12 (assume @p28 (forall @t3 (=> @t59 (forall @t48 (= (tptp.aSubsetOf0 @t8 @t1) (and @t63 (forall @t45 (=> @t62 @t61)))))))) % 15.88/16.12 (assume @p29 (forall @t3 (=> @t59 (=> @t64 true)))) % 15.88/16.12 (assume @p30 (forall @t12 (=> @t73 (forall @t45 (= (= @t16 @t70) (and @t69 (forall @t68 (= @t67 (and @t54 (or @t66 @t65)))))))))) % 15.88/16.12 (assume @p31 (forall @t12 (=> @t73 (forall @t45 (= (= @t16 @t74) (and @t69 (forall @t68 (= @t67 (and @t54 @t66 @t65))))))))) % 15.88/16.12 (assume @p32 (forall @t3 (=> (and @t59 (forall @t48 (=> @t60 @t71))) (forall @t48 (= (= @t8 @t75) (and @t63 (forall @t45 (= @t62 (and @t19 (exists @t68 (and @t66 (tptp.aElementOf0 @t16 @t53)))))))))))) % 15.88/16.12 (assume @p33 (forall @t3 (=> @t72 (forall @t48 (= (= @t8 @t76) (and @t63 (forall @t45 (= @t62 (and @t19 (not @t61)))))))))) % 15.88/16.12 (assume @p34 (forall @t12 (=> @t52 (forall @t45 (= (= @t16 @t77) (and @t69 (forall @t68 (= @t67 (and @t54 (tptp.sdteqdtlpzmzozddtrp0 @t53 @t1 @t8)))))))))) % 15.88/16.12 (assume @p35 (forall @t3 (=> @t72 (= @t78 (forall @t48 (=> @t60 (exists @t45 (and @t19 @t50 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t8 @t16) @t1))))))))) % 15.88/16.12 (assume @p36 (forall @t3 (=> @t72 (= @t79 (tptp.isOpen0 @t76))))) % 15.88/16.12 (assume @p37 (forall @t3 (=> (and @t59 (forall @t48 (=> @t60 (and @t71 @t80)))) (tptp.isOpen0 @t75)))) % 15.88/16.12 (assume @p38 (forall @t12 (=> (and @t72 @t71 @t78 @t80) (tptp.isOpen0 @t74)))) % 15.88/16.12 (assume @p39 (forall @t12 (=> (and @t72 @t71 @t79 @t81) (tptp.isClosed0 @t70)))) % 15.88/16.12 (assume @p40 (forall @t3 (=> (and @t59 @t64 (forall @t48 (=> @t60 (and @t71 @t81)))) (tptp.isClosed0 @t75)))) % 15.88/16.12 (assume @p41 (forall @t12 (=> @t52 (and (tptp.aSubsetOf0 @t77 tptp.cS1395) (tptp.isClosed0 @t77))))) % 15.88/16.12 (assume @p42 (and (tptp.aSet0 tptp.xS) (forall @t3 (and (=> @t82 (exists @t48 (and @t10 @t46 @t58 @t92 @t91 @t84))) (=> (exists @t48 (and @t10 @t46 @t58 (=> (and @t92 @t91) @t84))) @t82))) (= tptp.xS tptp.cS2043))) % 15.88/16.12 (assume @p43 (and @t99 @t98 (tptp.aSet0 @t94) @t97 (forall @t3 (= @t95 (or @t57 @t56))) (= @t94 tptp.cS2076))) % 15.88/16.12 (assume @p44 (tptp.isFinite0 tptp.xS)) % 15.88/16.12 (assume @p45 (and @t99 @t98 @t97 @t105 (tptp.isOpen0 @t94) (tptp.isClosed0 @t93) @t99 @t98 @t97 @t105)) % 15.88/16.12 (assume @p46 (and @t112 (not (= tptp.xp tptp.sz00)) (tptp.aSet0 @t106) (forall @t3 (and (=> @t107 (and @t2 @t111 @t110 @t108)) (=> (and @t2 (or @t111 @t110 @t108)) @t107))) @t99 @t98 @t97 (forall @t3 (=> @t107 @t95)) (tptp.aSubsetOf0 @t106 @t94))) % 15.88/16.12 (assume @p47 (and (exists @t3 (and @t2 (= @t116 @t118))) (tptp.aDivisorOf0 tptp.xp @t118) (tptp.sdteqdtlpzmzozddtrp0 @t117 tptp.sz10 tptp.xp) (tptp.aElementOf0 @t117 @t106) (exists @t3 (and @t2 (= @t116 @t115))) (tptp.aDivisorOf0 tptp.xp @t115) (tptp.sdteqdtlpzmzozddtrp0 @t114 tptp.sz10 tptp.xp) (tptp.aElementOf0 @t114 @t106))) % 15.88/16.12 (assume @p48 @t122) % 15.88/16.12 (assume @p49 true) % 15.88/16.12 (step @p50 :rule bool-impl-elim :args (@t2 @t123)) % 15.88/16.12 (step @p51 :rule cong :premises (@p50) :args ((forall @t3 (=> @t2 @t123)))) % 15.88/16.12 (step @p52 :rule refl :args (@t23)) % 15.88/16.12 (step @p53 :rule eq-symm :args (@t24 @t1)) % 15.88/16.12 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t25)) % 15.88/16.12 (step @p55 :rule refl :args (@t2)) % 15.88/16.12 (step @p56 :rule cong :premises (@p55 @p54) :args (@t26)) % 15.88/16.12 (step @p57 :rule cong :premises (@p56) :args (@t27)) % 15.88/16.12 (step @p58 :rule trans :premises (@p57 @p51)) % 15.88/16.12 (step @p59 :rule eq_resolve :premises (@p9 @p58)) % 15.88/16.12 (step @p60 :rule instantiate :premises (@p59) :args (@t124)) % 15.88/16.12 (step @p61 :rule cnf_or_pos :args (@t128)) % 15.88/16.12 (step @p62 :rule reordering :premises (@p61) :args ((or @t127 @t126 (not @t128)))) % 15.88/16.12 (step @p63 :rule chain_m_resolution :premises (@p62 @p3 @p60) :args (@t126 @t129 (@list @t4 @t128))) % 15.88/16.12 (step @p64 :rule cnf_and_pos :args (@t126 0)) % 15.88/16.12 (step @p65 :rule reordering :premises (@p64) :args ((or @t125 (not @t126)))) % 15.88/16.12 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t125 @t130 (@list @t126))) % 15.88/16.12 (step @p67 :rule and_elim :premises (@p46) :args (1)) % 15.88/16.12 (step @p68 :rule symm :premises (@p67)) % 15.88/16.12 (step @p69 :rule bool-impl-elim :args (@t2 @t131)) % 15.88/16.12 (step @p70 :rule cong :premises (@p69) :args ((forall @t3 (=> @t2 @t131)))) % 15.88/16.12 (step @p71 :rule refl :args (@t28)) % 15.88/16.12 (step @p72 :rule eq-symm :args (@t29 tptp.sz00)) % 15.88/16.12 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t30)) % 15.88/16.12 (step @p74 :rule cong :premises (@p55 @p73) :args (@t31)) % 15.88/16.12 (step @p75 :rule cong :premises (@p74) :args (@t32)) % 15.88/16.12 (step @p76 :rule trans :premises (@p75 @p70)) % 15.88/16.12 (step @p77 :rule eq_resolve :premises (@p10 @p76)) % 15.88/16.12 (step @p78 :rule instantiate :premises (@p77) :args (@t124)) % 15.88/16.12 (step @p79 :rule cnf_or_pos :args (@t135)) % 15.88/16.12 (step @p80 :rule reordering :premises (@p79) :args ((or @t127 @t134 (not @t135)))) % 15.88/16.12 (step @p81 :rule chain_m_resolution :premises (@p80 @p3 @p78) :args (@t134 @t129 (@list @t4 @t135))) % 15.88/16.12 (step @p82 :rule cnf_and_pos :args (@t134 1)) % 15.88/16.12 (step @p83 :rule reordering :premises (@p82) :args ((or @t133 (not @t134)))) % 15.88/16.12 (step @p84 :rule chain_m_resolution :premises (@p83 @p81) :args (@t133 @t130 (@list @t134))) % 15.88/16.12 (step @p85 :rule instantiate :premises (@p59) :args (@t136)) % 15.88/16.12 (step @p86 :rule and_elim :premises (@p46) :args (0)) % 15.88/16.12 (step @p87 :rule cnf_or_pos :args (@t140)) % 15.88/16.12 (step @p88 :rule reordering :premises (@p87) :args ((or @t139 @t138 (not @t140)))) % 15.88/16.12 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t138 @t129 (@list @t112 @t140))) % 15.88/16.12 (step @p90 :rule cnf_and_pos :args (@t138 1)) % 15.88/16.12 (step @p91 :rule reordering :premises (@p90) :args ((or @t137 (not @t138)))) % 15.88/16.12 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t137 @t130 (@list @t138))) % 15.88/16.12 (step @p93 :rule aci_norm :args ((= (or @t144 @t34) @t143))) % 15.88/16.12 (step @p94 :rule refl :args (@t34)) % 15.88/16.12 (step @p95 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 15.88/16.12 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t145 @t34))) % 15.88/16.12 (step @p97 :rule trans :premises (@p96 @p93)) % 15.88/16.12 (step @p98 :rule bool-impl-elim :args (@t11 @t34)) % 15.88/16.12 (step @p99 :rule trans :premises (@p98 @p97)) % 15.88/16.12 (step @p100 :rule cong :premises (@p99) :args (@t35)) % 15.88/16.12 (step @p101 :rule eq_resolve :premises (@p12 @p100)) % 15.88/16.12 (step @p102 :rule eq-symm :args (@t146 @t147)) % 15.88/16.12 (step @p103 :rule refl :args (@t149)) % 15.88/16.12 (step @p104 :rule refl :args (@t127)) % 15.88/16.12 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t150)) % 15.88/16.12 (step @p106 :rule refl :args (@t151)) % 15.88/16.12 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t151 @t150))) % 15.88/16.12 (assume-push @p300 @t151) % 15.88/16.12 (step @p109 :rule instantiate :premises (@p101) :args (@t152)) % 15.88/16.12 (step-pop @p301 :rule scope :premises (@p109)) % 15.88/16.12 (step @p110 :rule process_scope :premises (@p301) :args (@t150)) % 15.88/16.12 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 15.88/16.12 (step @p113 :rule implies_elim :premises (@p112)) % 15.88/16.12 (step @p114 :rule chain_m_resolution :premises (@p113 @p101) :args (@t154 @t130 (@list @t151))) % 15.88/16.12 (step @p115 :rule bool-impl-elim :args (@t2 @t6)) % 15.88/16.12 (step @p116 :rule cong :premises (@p115) :args (@t7)) % 15.88/16.12 (step @p117 :rule eq_resolve :premises (@p4 @p116)) % 15.88/16.12 (step @p118 :rule instantiate :premises (@p117) :args (@t124)) % 15.88/16.12 (step @p119 :rule cnf_or_pos :args (@t155)) % 15.88/16.12 (step @p120 :rule reordering :premises (@p119) :args ((or @t127 @t148 (not @t155)))) % 15.88/16.12 (step @p121 :rule chain_m_resolution :premises (@p120 @p3 @p118) :args (@t148 @t129 (@list @t4 @t155))) % 15.88/16.12 (step @p122 :rule cnf_or_pos :args (@t154)) % 15.88/16.12 (step @p123 :rule reordering :premises (@p122) :args ((or @t127 @t149 @t153 (not @t154)))) % 15.88/16.12 (step @p124 :rule chain_m_resolution :premises (@p123 @p3 @p121 @p114) :args (@t153 @t156 (@list @t4 @t148 @t154))) % 15.88/16.12 (step @p125 :rule bool-impl-elim :args (@t2 @t157)) % 15.88/16.12 (step @p126 :rule cong :premises (@p125) :args ((forall @t3 (=> @t2 @t157)))) % 15.88/16.12 (step @p127 :rule refl :args (@t38)) % 15.88/16.12 (step @p128 :rule eq-symm :args (@t39 @t5)) % 15.88/16.12 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t40)) % 15.88/16.12 (step @p130 :rule cong :premises (@p55 @p129) :args (@t41)) % 15.88/16.12 (step @p131 :rule cong :premises (@p130) :args (@t42)) % 15.88/16.12 (step @p132 :rule trans :premises (@p131 @p126)) % 15.88/16.12 (step @p133 :rule eq_resolve :premises (@p16 @p132)) % 15.88/16.12 (step @p134 :rule instantiate :premises (@p133) :args (@t124)) % 15.88/16.12 (step @p135 :rule cnf_or_pos :args (@t160)) % 15.88/16.12 (step @p136 :rule reordering :premises (@p135) :args ((or @t127 @t159 (not @t160)))) % 15.88/16.12 (step @p137 :rule chain_m_resolution :premises (@p136 @p3 @p134) :args (@t159 @t129 (@list @t4 @t160))) % 15.88/16.12 (step @p138 :rule cnf_and_pos :args (@t159 0)) % 15.88/16.12 (step @p139 :rule reordering :premises (@p138) :args ((or @t158 (not @t159)))) % 15.88/16.12 (step @p140 :rule chain_m_resolution :premises (@p139 @p137) :args (@t158 @t130 (@list @t159))) % 15.88/16.12 (step @p141 :rule aci_norm :args ((= (or @t162 @t18) (or @t142 @t141 @t161 @t18)))) % 15.88/16.12 (step @p142 :rule refl :args (@t18)) % 15.88/16.12 (step @p143 :rule aci_norm :args ((= (or @t142 (or @t141 @t161)) @t162))) % 15.88/16.12 (step @p144 :rule bool-and-de-morgan :args (@t10 @t19 true)) % 15.88/16.12 (step @p145 :rule refl :args (@t142)) % 15.88/16.12 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t142 (not (and @t10 @t19))))) % 15.88/16.12 (step @p147 :rule bool-and-de-morgan :args (@t2 @t10 (and @t19))) % 15.88/16.12 (step @p148 :rule trans :premises (@p147 @p146)) % 15.88/16.12 (step @p149 :rule trans :premises (@p148 @p143)) % 15.88/16.12 (step @p150 :rule nary_cong :premises (@p149 @p142) :args ((or (not @t20) @t18))) % 15.88/16.12 (step @p151 :rule trans :premises (@p150 @p141)) % 15.88/16.12 (step @p152 :rule bool-impl-elim :args (@t20 @t18)) % 15.88/16.12 (step @p153 :rule trans :premises (@p152 @p151)) % 15.88/16.12 (step @p154 :rule cong :premises (@p153) :args (@t22)) % 15.88/16.12 (step @p155 :rule eq_resolve :premises (@p7 @p154)) % 15.88/16.12 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t146 tptp.sz10 tptp.xp))) % 15.88/16.12 (step @p157 :rule aci_norm :args ((= (or @t144 @t14) (or @t142 @t141 @t14)))) % 15.88/16.12 (step @p158 :rule refl :args (@t14)) % 15.88/16.12 (step @p159 :rule nary_cong :premises (@p95 @p158) :args ((or @t145 @t14))) % 15.88/16.12 (step @p160 :rule trans :premises (@p159 @p157)) % 15.88/16.12 (step @p161 :rule bool-impl-elim :args (@t11 @t14)) % 15.88/16.12 (step @p162 :rule trans :premises (@p161 @p160)) % 15.88/16.12 (step @p163 :rule cong :premises (@p162) :args (@t15)) % 15.88/16.12 (step @p164 :rule eq_resolve :premises (@p6 @p163)) % 15.88/16.12 (step @p165 :rule instantiate :premises (@p164) :args (@t152)) % 15.88/16.12 (step @p166 :rule cnf_or_pos :args (@t164)) % 15.88/16.12 (step @p167 :rule reordering :premises (@p166) :args ((or @t127 @t149 @t163 (not @t164)))) % 15.88/16.12 (step @p168 :rule chain_m_resolution :premises (@p167 @p3 @p121 @p165) :args (@t163 @t156 (@list @t4 @t148 @t164))) % 15.88/16.12 (step @p169 :rule cnf_or_pos :args (@t169)) % 15.88/16.12 (step @p170 :rule reordering :premises (@p169) :args ((or @t127 @t139 @t168 @t167 (not @t169)))) % 15.88/16.12 (step @p171 :rule chain_m_resolution :premises (@p170 @p3 @p86 @p168 @p156) :args (@t167 @t170 (@list @t4 @t112 @t163 @t169))) % 15.88/16.12 (assume-push @p302 @t171) % 15.88/16.12 (assume-push @p303 @t133) % 15.88/16.12 (assume-push @p304 @t137) % 15.88/16.12 (assume-push @p305 @t158) % 15.88/16.12 (assume-push @p306 @t153) % 15.88/16.12 (assume-push @p307 @t167) % 15.88/16.12 (assume-push @p308 @t137) % 15.88/16.12 (assume-push @p309 @t133) % 15.88/16.12 (assume-push @p310 @t158) % 15.88/16.12 (assume-push @p311 @t153) % 15.88/16.12 (assume-push @p312 @t167) % 15.88/16.12 (assume-push @p313 @t171) % 15.88/16.12 (step @p184 :rule symm :premises (@p92)) % 15.88/16.12 (step @p185 :rule refl :args (tptp.xp)) % 15.88/16.12 (step @p186 :rule symm :premises (@p84)) % 15.88/16.12 (step @p187 :rule refl :args (tptp.sz10)) % 15.88/16.12 (step @p188 :rule symm :premises (@p140)) % 15.88/16.12 (step @p189 :rule symm :premises (@p124)) % 15.88/16.12 (step @p190 :rule trans :premises (@p189 @p188)) % 15.88/16.12 (step @p191 :rule cong :premises (@p190 @p187) :args (@t165)) % 15.88/16.12 (step @p192 :rule trans :premises (@p191 @p186)) % 15.88/16.12 (step @p193 :rule cong :premises (@p192 @p185) :args (@t166)) % 15.88/16.12 (step @p194 :rule symm :premises (@p190)) % 15.88/16.12 (step @p195 :rule cong :premises (@p194 @p302) :args (@t132)) % 15.88/16.12 (step @p196 :rule trans :premises (@p84 @p195 @p171 @p193 @p184)) % 15.88/16.12 (step-pop @p314 :rule scope :premises (@p196)) % 15.88/16.12 (step-pop @p315 :rule scope :premises (@p314)) % 15.88/16.12 (step-pop @p316 :rule scope :premises (@p315)) % 15.88/16.12 (step-pop @p317 :rule scope :premises (@p316)) % 15.88/16.12 (step-pop @p318 :rule scope :premises (@p317)) % 15.88/16.12 (step-pop @p319 :rule scope :premises (@p318)) % 15.88/16.12 (step @p197 :rule process_scope :premises (@p319) :args (@t172)) % 15.88/16.12 (step @p204 :rule and_intro :premises (@p92 @p84 @p140 @p124 @p171 @p302)) % 15.88/16.12 (step @p205 :rule modus_ponens :premises (@p204 @p197)) % 15.88/16.12 (step-pop @p320 :rule scope :premises (@p205)) % 15.88/16.12 (step-pop @p321 :rule scope :premises (@p320)) % 15.88/16.12 (step-pop @p322 :rule scope :premises (@p321)) % 15.88/16.12 (step-pop @p323 :rule scope :premises (@p322)) % 15.88/16.12 (step-pop @p324 :rule scope :premises (@p323)) % 15.88/16.12 (step-pop @p325 :rule scope :premises (@p324)) % 15.88/16.12 (step @p206 :rule process_scope :premises (@p325) :args (@t172)) % 15.88/16.12 (step @p213 :rule implies_elim :premises (@p206)) % 15.88/16.12 (step @p214 :rule cnf_and_neg :args (@t173)) % 15.88/16.12 (step @p215 :rule resolution :premises (@p214 @p213) :args (true @t173)) % 15.88/16.12 (step @p216 :rule reordering :premises (@p215) :args ((or @t172 @t174 (not @t133) (not @t137) (not @t158) (not @t153) (not @t167)))) % 15.88/16.12 (step @p217 :rule chain_m_resolution :premises (@p216 @p171 @p140 @p124 @p92 @p84 @p68) :args (@t174 (@list false false false false false true) (@list @t167 @t158 @t153 @t137 @t133 @t172))) % 15.88/16.12 (step @p218 :rule bool-double-not-elim :args (@t175)) % 15.88/16.12 (step @p219 :rule bool-double-not-elim :args (@t171)) % 15.88/16.12 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t177 (not @t176)))) % 15.88/16.12 (step @p221 :rule eq-symm :args (@t114 tptp.sz10)) % 15.88/16.12 (step @p222 :rule cong :premises (@p221) :args (@t119)) % 15.88/16.12 (step @p223 :rule eq-symm :args (@t117 tptp.sz10)) % 15.88/16.12 (step @p224 :rule cong :premises (@p223) :args (@t120)) % 15.88/16.12 (step @p225 :rule nary_cong :premises (@p224 @p222) :args (@t121)) % 15.88/16.12 (step @p226 :rule cong :premises (@p225) :args (@t122)) % 15.88/16.12 (step @p227 :rule eq_resolve :premises (@p48 @p226)) % 15.88/16.12 (step @p228 :rule not_and :premises (@p227)) % 15.88/16.12 (step @p229 :rule eq_resolve :premises (@p228 @p220)) % 15.88/16.12 (step @p230 :rule chain_m_resolution :premises (@p229 @p217) :args (@t175 (@list true) (@list @t171))) % 15.88/16.12 (step @p231 :rule instantiate :premises (@p77) :args (@t136)) % 15.88/16.12 (step @p232 :rule cnf_or_pos :args (@t181)) % 15.88/16.12 (step @p233 :rule reordering :premises (@p232) :args ((or @t139 @t180 (not @t181)))) % 15.88/16.12 (step @p234 :rule chain_m_resolution :premises (@p233 @p86 @p231) :args (@t180 @t129 (@list @t112 @t181))) % 15.88/16.12 (step @p235 :rule cnf_and_pos :args (@t180 1)) % 15.88/16.12 (step @p236 :rule reordering :premises (@p235) :args ((or @t179 (not @t180)))) % 15.88/16.12 (step @p237 :rule chain_m_resolution :premises (@p236 @p234) :args (@t179 @t130 (@list @t180))) % 15.88/16.12 (step @p238 :rule instantiate :premises (@p155) :args ((@list tptp.sz10 @t113 tptp.xp))) % 15.88/16.12 (step @p239 :rule instantiate :premises (@p117) :args (@t136)) % 15.88/16.12 (step @p240 :rule cnf_or_pos :args (@t183)) % 15.88/16.12 (step @p241 :rule reordering :premises (@p240) :args ((or @t139 @t182 (not @t183)))) % 15.88/16.12 (step @p242 :rule chain_m_resolution :premises (@p241 @p86 @p239) :args (@t182 @t129 (@list @t112 @t183))) % 15.88/16.12 (step @p243 :rule cnf_or_pos :args (@t188)) % 15.88/16.12 (step @p244 :rule reordering :premises (@p243) :args ((or @t127 @t139 @t187 @t186 (not @t188)))) % 15.88/16.12 (step @p245 :rule chain_m_resolution :premises (@p244 @p3 @p86 @p242 @p238) :args (@t186 @t170 (@list @t4 @t112 @t182 @t188))) % 15.88/16.12 (step @p246 :rule refl :args (@t189)) % 15.88/16.12 (step @p247 :rule refl :args (@t190)) % 15.88/16.12 (step @p248 :rule refl :args (@t191)) % 15.88/16.12 (step @p249 :rule refl :args (@t176)) % 15.88/16.12 (step @p250 :rule nary_cong :premises (@p219 @p249 @p248 @p247 @p246) :args ((or @t177 @t176 @t191 @t190 @t189))) % 15.88/16.12 (assume-push @p326 @t186) % 15.88/16.12 (assume-push @p327 @t189) % 15.88/16.12 (step @p253 :rule evaluate :args ((= false true))) % 15.88/16.12 (step @p254 :rule true_intro :premises (@p245)) % 15.88/16.12 (step @p255 :rule false_intro :premises (@p327)) % 15.88/16.12 (step @p256 :rule symm :premises (@p255)) % 15.88/16.12 (step @p257 :rule trans :premises (@p256 @p254)) % 15.88/16.12 (step @p258 false :rule eq_resolve :premises (@p257 @p253)) % 15.88/16.12 (step-pop @p328 :rule scope :premises (@p258)) % 15.88/16.12 (step-pop @p329 :rule scope :premises (@p328)) % 15.88/16.12 (step @p259 :rule process_scope :premises (@p329) :args (false)) % 15.88/16.12 (assume-push @p330 @t174) % 15.88/16.12 (assume-push @p331 @t175) % 15.88/16.12 (assume-push @p332 @t125) % 15.88/16.12 (assume-push @p333 @t179) % 15.88/16.12 (assume-push @p334 @t186) % 15.88/16.12 (assume-push @p335 @t125) % 15.88/16.12 (assume-push @p336 @t179) % 15.88/16.12 (assume-push @p337 @t174) % 15.88/16.12 (assume-push @p338 @t175) % 15.88/16.12 (step @p271 :rule false_intro :premises (@p330)) % 15.88/16.12 (step @p185 :rule refl :args (tptp.xp)) % 15.88/16.12 (step @p272 :rule symm :premises (@p331)) % 15.88/16.12 (step @p273 :rule cong :premises (@p272 @p185) :args (@t184)) % 15.88/16.12 (step @p274 :rule symm :premises (@p66)) % 15.88/16.12 (step @p275 :rule symm :premises (@p237)) % 15.88/16.12 (step @p187 :rule refl :args (tptp.sz10)) % 15.88/16.12 (step @p276 :rule cong :premises (@p187 @p275) :args (@t185)) % 15.88/16.12 (step @p277 :rule trans :premises (@p276 @p274)) % 15.88/16.12 (step @p278 :rule cong :premises (@p277 @p273) :args (@t186)) % 15.88/16.12 (step @p279 :rule trans :premises (@p278 @p271)) % 15.88/16.12 (step @p280 :rule false_elim :premises (@p279)) % 15.88/16.12 (step-pop @p339 :rule scope :premises (@p280)) % 15.88/16.12 (step-pop @p340 :rule scope :premises (@p339)) % 15.88/16.12 (step-pop @p341 :rule scope :premises (@p340)) % 15.88/16.12 (step-pop @p342 :rule scope :premises (@p341)) % 15.88/16.12 (step @p281 :rule process_scope :premises (@p342) :args (@t189)) % 15.88/16.12 (step @p286 :rule and_intro :premises (@p66 @p237 @p330 @p331)) % 15.88/16.12 (step @p287 :rule modus_ponens :premises (@p286 @p281)) % 15.88/16.12 (step @p288 :rule and_intro :premises (@p245 @p287)) % 15.88/16.12 (step-pop @p343 :rule scope :premises (@p288)) % 15.88/16.12 (step-pop @p344 :rule scope :premises (@p343)) % 15.88/16.12 (step-pop @p345 :rule scope :premises (@p344)) % 15.88/16.12 (step-pop @p346 :rule scope :premises (@p345)) % 15.88/16.12 (step-pop @p347 :rule scope :premises (@p346)) % 15.88/16.12 (step @p289 :rule process_scope :premises (@p347) :args (@t192)) % 15.88/16.12 (step @p295 :rule implies_elim :premises (@p289)) % 15.88/16.12 (step @p296 :rule resolution :premises (@p295 @p259) :args (true @t192)) % 15.88/16.12 (step @p297 :rule not_and :premises (@p296)) % 15.88/16.12 (step @p298 :rule eq_resolve :premises (@p297 @p250)) % 15.88/16.12 (step @p299 false :rule chain_m_resolution :premises (@p298 @p245 @p237 @p230 @p217 @p66) :args (false (@list false false false true false) (@list @t186 @t179 @t175 @t171 @t125))) % 15.88/16.12 ) % 15.88/16.12 % SZS output end Proof % 15.88/16.12 % cvc5 exiting %------------------------------------------------------------------------------