%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM454+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:28 AM UTC 2026 % Result : Theorem 0.23s 0.49s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM454+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:21:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.23/0.49 % SZS status Theorem % 0.23/0.49 % SZS output start Proof % 0.23/0.49 ( % 0.23/0.49 (declare-sort $$unsorted 0) % 0.23/0.49 (declare-const tptp.xp $$unsorted) % 0.23/0.49 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.cS1395 $$unsorted) % 0.23/0.49 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.cS2043 $$unsorted) % 0.23/0.49 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.xS $$unsorted) % 0.23/0.49 (declare-const tptp.sz10 $$unsorted) % 0.23/0.49 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.sz00 $$unsorted) % 0.23/0.49 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.cS2076 $$unsorted) % 0.23/0.49 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.23/0.49 (define @t1 () (@var "W0" $$unsorted)) % 0.23/0.49 (define @t2 () (tptp.aInteger0 @t1)) % 0.23/0.49 (define @t3 () (@list @t1)) % 0.23/0.49 (define @t4 () (tptp.aInteger0 tptp.sz10)) % 0.23/0.49 (define @t5 () (tptp.smndt0 @t1)) % 0.23/0.49 (define @t6 () (tptp.aInteger0 @t5)) % 0.23/0.49 (define @t7 () (forall @t3 (=> @t2 @t6))) % 0.23/0.49 (define @t8 () (@var "W1" $$unsorted)) % 0.23/0.49 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 0.23/0.49 (define @t10 () (tptp.aInteger0 @t8)) % 0.23/0.49 (define @t11 () (and @t2 @t10)) % 0.23/0.49 (define @t12 () (@list @t1 @t8)) % 0.23/0.49 (define @t13 () (tptp.sdtasdt0 @t1 @t8)) % 0.23/0.49 (define @t14 () (@var "W2" $$unsorted)) % 0.23/0.49 (define @t15 () (tptp.sdtpldt0 @t8 @t14)) % 0.23/0.49 (define @t16 () (= (tptp.sdtpldt0 @t1 @t15) (tptp.sdtpldt0 @t9 @t14))) % 0.23/0.49 (define @t17 () (tptp.aInteger0 @t14)) % 0.23/0.49 (define @t18 () (and @t2 @t10 @t17)) % 0.23/0.49 (define @t19 () (@list @t1 @t8 @t14)) % 0.23/0.49 (define @t20 () (forall @t19 (=> @t18 @t16))) % 0.23/0.49 (define @t21 () (= @t9 (tptp.sdtpldt0 @t8 @t1))) % 0.23/0.49 (define @t22 () (forall @t12 (=> @t11 @t21))) % 0.23/0.49 (define @t23 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.23/0.49 (define @t24 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.23/0.49 (define @t25 () (and (= @t24 @t1) @t23)) % 0.23/0.49 (define @t26 () (=> @t2 @t25)) % 0.23/0.49 (define @t27 () (forall @t3 @t26)) % 0.23/0.49 (define @t28 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 0.23/0.49 (define @t29 () (tptp.sdtpldt0 @t1 @t5)) % 0.23/0.49 (define @t30 () (and (= @t29 tptp.sz00) @t28)) % 0.23/0.49 (define @t31 () (=> @t2 @t30)) % 0.23/0.49 (define @t32 () (forall @t3 @t31)) % 0.23/0.49 (define @t33 () (tptp.sdtasdt0 @t8 @t14)) % 0.23/0.49 (define @t34 () (= (tptp.sdtasdt0 @t1 @t33) (tptp.sdtasdt0 @t13 @t14))) % 0.23/0.49 (define @t35 () (forall @t19 (=> @t18 @t34))) % 0.23/0.49 (define @t36 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.23/0.49 (define @t37 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.23/0.49 (define @t38 () (and (= @t37 @t1) @t36)) % 0.23/0.49 (define @t39 () (=> @t2 @t38)) % 0.23/0.49 (define @t40 () (forall @t3 @t39)) % 0.23/0.49 (define @t41 () (tptp.sdtasdt0 @t1 @t14)) % 0.23/0.49 (define @t42 () (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t13 @t41)) (= (tptp.sdtasdt0 @t9 @t14) (tptp.sdtpldt0 @t41 @t33)))) % 0.23/0.49 (define @t43 () (forall @t19 (=> @t18 @t42))) % 0.23/0.49 (define @t44 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.23/0.49 (define @t45 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.23/0.49 (define @t46 () (and (= @t45 tptp.sz00) @t44)) % 0.23/0.49 (define @t47 () (=> @t2 @t46)) % 0.23/0.49 (define @t48 () (forall @t3 @t47)) % 0.23/0.49 (define @t49 () (tptp.smndt0 tptp.sz10)) % 0.23/0.49 (define @t50 () (= @t5 (tptp.sdtasdt0 @t1 @t49))) % 0.23/0.49 (define @t51 () (tptp.sdtasdt0 @t49 @t1)) % 0.23/0.49 (define @t52 () (and (= @t51 @t5) @t50)) % 0.23/0.49 (define @t53 () (=> @t2 @t52)) % 0.23/0.49 (define @t54 () (forall @t3 @t53)) % 0.23/0.49 (define @t55 () (= @t8 tptp.sz00)) % 0.23/0.49 (define @t56 () (= @t1 tptp.sz00)) % 0.23/0.49 (define @t57 () (or @t56 @t55)) % 0.23/0.49 (define @t58 () (=> (= @t13 tptp.sz00) @t57)) % 0.23/0.49 (define @t59 () (=> @t11 @t58)) % 0.23/0.49 (define @t60 () (forall @t12 @t59)) % 0.23/0.49 (define @t61 () (@list @t14)) % 0.23/0.49 (define @t62 () (not @t55)) % 0.23/0.49 (define @t63 () (tptp.aDivisorOf0 @t8 @t1)) % 0.23/0.49 (define @t64 () (@list @t8)) % 0.23/0.49 (define @t65 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t14)) % 0.23/0.49 (define @t66 () (not (= @t14 tptp.sz00))) % 0.23/0.49 (define @t67 () (and @t2 @t10 @t17 @t66)) % 0.23/0.49 (define @t68 () (and @t2 @t10 @t62)) % 0.23/0.49 (define @t69 () (@var "W3" $$unsorted)) % 0.23/0.49 (define @t70 () (tptp.aInteger0 @t69)) % 0.23/0.49 (define @t71 () (@list @t1 @t8 @t14 @t69)) % 0.23/0.49 (define @t72 () (tptp.aSet0 @t1)) % 0.23/0.49 (define @t73 () (tptp.aElementOf0 @t8 @t1)) % 0.23/0.49 (define @t74 () (tptp.aElementOf0 @t14 @t1)) % 0.23/0.49 (define @t75 () (tptp.aElementOf0 @t14 @t8)) % 0.23/0.49 (define @t76 () (tptp.aSet0 @t8)) % 0.23/0.49 (define @t77 () (tptp.isFinite0 @t1)) % 0.23/0.49 (define @t78 () (tptp.aElementOf0 @t69 @t8)) % 0.23/0.49 (define @t79 () (tptp.aElementOf0 @t69 @t1)) % 0.23/0.49 (define @t80 () (tptp.aElementOf0 @t69 @t14)) % 0.23/0.49 (define @t81 () (@list @t69)) % 0.23/0.49 (define @t82 () (tptp.aSet0 @t14)) % 0.23/0.49 (define @t83 () (tptp.sdtbsmnsldt0 @t1 @t8)) % 0.23/0.49 (define @t84 () (tptp.aSubsetOf0 @t8 tptp.cS1395)) % 0.23/0.49 (define @t85 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 0.23/0.49 (define @t86 () (and @t85 @t84)) % 0.23/0.49 (define @t87 () (tptp.sdtslmnbsdt0 @t1 @t8)) % 0.23/0.49 (define @t88 () (tptp.sbsmnsldt0 @t1)) % 0.23/0.49 (define @t89 () (tptp.stldt0 @t1)) % 0.23/0.49 (define @t90 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t8)) % 0.23/0.49 (define @t91 () (tptp.isOpen0 @t1)) % 0.23/0.49 (define @t92 () (tptp.isClosed0 @t1)) % 0.23/0.49 (define @t93 () (tptp.isOpen0 @t8)) % 0.23/0.49 (define @t94 () (tptp.isClosed0 @t8)) % 0.23/0.49 (define @t95 () (tptp.sbsmnsldt0 tptp.xS)) % 0.23/0.49 (define @t96 () (tptp.stldt0 @t95)) % 0.23/0.49 (define @t97 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)) % 0.23/0.49 (define @t98 () (= tptp.xp tptp.sz00)) % 0.23/0.49 (define @t99 () (tptp.aInteger0 tptp.xp)) % 0.23/0.49 (define @t100 () (tptp.smndt0 tptp.xp)) % 0.23/0.49 (define @t101 () (tptp.sdtpldt0 tptp.sz10 @t100)) % 0.23/0.49 (define @t102 () (tptp.sdtpldt0 tptp.sz10 tptp.xp)) % 0.23/0.49 (define @t103 () (not (= @t101 @t49))) % 0.23/0.49 (define @t104 () (not (= @t102 @t49))) % 0.23/0.49 (define @t105 () (or @t104 @t103)) % 0.23/0.49 (define @t106 () (not @t105)) % 0.23/0.49 (define @t107 () (not @t10)) % 0.23/0.49 (define @t108 () (not @t2)) % 0.23/0.49 (define @t109 () (or @t108 @t107)) % 0.23/0.49 (define @t110 () (not @t11)) % 0.23/0.49 (define @t111 () (tptp.sdtpldt0 tptp.xp tptp.sz10)) % 0.23/0.49 (define @t112 () (= @t102 @t111)) % 0.23/0.49 (define @t113 () (not @t99)) % 0.23/0.49 (define @t114 () (not @t4)) % 0.23/0.49 (define @t115 () (or @t114 @t113 @t112)) % 0.23/0.49 (define @t116 () (@list false false false)) % 0.23/0.49 (define @t117 () (@list tptp.xp)) % 0.23/0.49 (define @t118 () (tptp.aInteger0 @t100)) % 0.23/0.49 (define @t119 () (or @t113 @t118)) % 0.23/0.49 (define @t120 () (@list false false)) % 0.23/0.49 (define @t121 () (tptp.sdtpldt0 @t100 tptp.sz10)) % 0.23/0.49 (define @t122 () (= @t101 @t121)) % 0.23/0.49 (define @t123 () (not @t118)) % 0.23/0.49 (define @t124 () (or @t114 @t123 @t122)) % 0.23/0.49 (define @t125 () (and (= @t1 @t24) @t23)) % 0.23/0.49 (define @t126 () (@list tptp.sz10)) % 0.23/0.49 (define @t127 () (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10))) % 0.23/0.49 (define @t128 () (and (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) @t127)) % 0.23/0.49 (define @t129 () (or @t114 @t128)) % 0.23/0.49 (define @t130 () (@list false)) % 0.23/0.49 (define @t131 () (and (= tptp.sz00 @t29) @t28)) % 0.23/0.49 (define @t132 () (tptp.sdtpldt0 @t49 tptp.sz10)) % 0.23/0.49 (define @t133 () (= tptp.sz00 @t132)) % 0.23/0.49 (define @t134 () (tptp.sdtpldt0 tptp.sz10 @t49)) % 0.23/0.49 (define @t135 () (= tptp.sz00 @t134)) % 0.23/0.49 (define @t136 () (and @t135 @t133)) % 0.23/0.49 (define @t137 () (or @t114 @t136)) % 0.23/0.49 (define @t138 () (not @t136)) % 0.23/0.49 (define @t139 () (@list @t136)) % 0.23/0.49 (define @t140 () (tptp.sdtpldt0 @t100 tptp.xp)) % 0.23/0.49 (define @t141 () (= tptp.sz00 @t140)) % 0.23/0.49 (define @t142 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xp @t100)) @t141)) % 0.23/0.49 (define @t143 () (or @t113 @t142)) % 0.23/0.49 (define @t144 () (and (= @t1 @t37) @t36)) % 0.23/0.49 (define @t145 () (tptp.sdtasdt0 tptp.sz10 tptp.xp)) % 0.23/0.49 (define @t146 () (= tptp.xp @t145)) % 0.23/0.49 (define @t147 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 0.23/0.49 (define @t148 () (= tptp.xp @t147)) % 0.23/0.49 (define @t149 () (and @t148 @t146)) % 0.23/0.49 (define @t150 () (or @t113 @t149)) % 0.23/0.49 (define @t151 () (not @t149)) % 0.23/0.49 (define @t152 () (@list @t149)) % 0.23/0.49 (define @t153 () (and (= tptp.sz00 @t45) @t44)) % 0.23/0.49 (define @t154 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 0.23/0.49 (define @t155 () (= tptp.sz00 @t154)) % 0.23/0.49 (define @t156 () (and @t155 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 0.23/0.49 (define @t157 () (or @t113 @t156)) % 0.23/0.49 (define @t158 () (and (= @t5 @t51) @t50)) % 0.23/0.49 (define @t159 () (tptp.sdtasdt0 tptp.sz10 @t49)) % 0.23/0.49 (define @t160 () (= @t49 @t159)) % 0.23/0.49 (define @t161 () (tptp.sdtasdt0 @t49 tptp.sz10)) % 0.23/0.49 (define @t162 () (= @t49 @t161)) % 0.23/0.49 (define @t163 () (and @t162 @t160)) % 0.23/0.49 (define @t164 () (or @t114 @t163)) % 0.23/0.49 (define @t165 () (not @t163)) % 0.23/0.49 (define @t166 () (@list @t163)) % 0.23/0.49 (define @t167 () (tptp.sdtasdt0 tptp.xp @t49)) % 0.23/0.49 (define @t168 () (= @t100 @t167)) % 0.23/0.49 (define @t169 () (tptp.sdtasdt0 @t49 tptp.xp)) % 0.23/0.49 (define @t170 () (= @t100 @t169)) % 0.23/0.49 (define @t171 () (and @t170 @t168)) % 0.23/0.49 (define @t172 () (or @t113 @t171)) % 0.23/0.49 (define @t173 () (not @t171)) % 0.23/0.49 (define @t174 () (@list @t171)) % 0.23/0.49 (define @t175 () (not @t17)) % 0.23/0.49 (define @t176 () (or @t108 @t107 @t175)) % 0.23/0.49 (define @t177 () (not @t18)) % 0.23/0.49 (define @t178 () (tptp.sdtpldt0 @t140 tptp.sz10)) % 0.23/0.49 (define @t179 () (= (tptp.sdtpldt0 @t100 @t111) @t178)) % 0.23/0.49 (define @t180 () (or @t123 @t113 @t114 @t179)) % 0.23/0.49 (define @t181 () (@list false false false false)) % 0.23/0.49 (define @t182 () (tptp.sdtpldt0 tptp.sz10 tptp.sz10)) % 0.23/0.49 (define @t183 () (tptp.sdtpldt0 @t100 @t182)) % 0.23/0.49 (define @t184 () (= @t183 (tptp.sdtpldt0 @t121 tptp.sz10))) % 0.23/0.49 (define @t185 () (or @t123 @t114 @t114 @t184)) % 0.23/0.49 (define @t186 () (tptp.aInteger0 @t49)) % 0.23/0.49 (define @t187 () (or @t114 @t186)) % 0.23/0.49 (define @t188 () (tptp.sdtasdt0 @t49 @t147)) % 0.23/0.49 (define @t189 () (= @t188 (tptp.sdtasdt0 @t169 tptp.sz10))) % 0.23/0.49 (define @t190 () (not @t186)) % 0.23/0.49 (define @t191 () (or @t190 @t113 @t114 @t189)) % 0.23/0.49 (define @t192 () (@list @t100)) % 0.23/0.49 (define @t193 () (= @t100 (tptp.sdtpldt0 tptp.sz00 @t100))) % 0.23/0.49 (define @t194 () (and (= @t100 (tptp.sdtpldt0 @t100 tptp.sz00)) @t193)) % 0.23/0.49 (define @t195 () (or @t123 @t194)) % 0.23/0.49 (define @t196 () (tptp.sdtasdt0 @t100 tptp.xp)) % 0.23/0.49 (define @t197 () (tptp.sdtpldt0 @t49 @t100)) % 0.23/0.49 (define @t198 () (tptp.sdtasdt0 @t197 tptp.xp)) % 0.23/0.49 (define @t199 () (= @t198 (tptp.sdtpldt0 @t169 @t196))) % 0.23/0.49 (define @t200 () (tptp.sdtasdt0 @t49 @t100)) % 0.23/0.49 (define @t201 () (and (= (tptp.sdtasdt0 @t49 @t140) (tptp.sdtpldt0 @t200 @t169)) @t199)) % 0.23/0.49 (define @t202 () (or @t190 @t123 @t113 @t201)) % 0.23/0.49 (define @t203 () (tptp.sdtpldt0 @t167 @t159)) % 0.23/0.49 (define @t204 () (= (tptp.sdtasdt0 @t111 @t49) @t203)) % 0.23/0.49 (define @t205 () (and (= (tptp.sdtasdt0 tptp.xp @t134) (tptp.sdtpldt0 @t147 @t167)) @t204)) % 0.23/0.49 (define @t206 () (or @t113 @t114 @t190 @t205)) % 0.23/0.49 (define @t207 () (tptp.sdtpldt0 @t196 @t145)) % 0.23/0.49 (define @t208 () (tptp.sdtasdt0 @t121 tptp.xp)) % 0.23/0.49 (define @t209 () (= @t208 @t207)) % 0.23/0.49 (define @t210 () (tptp.sdtasdt0 @t100 tptp.sz10)) % 0.23/0.49 (define @t211 () (tptp.sdtpldt0 @t210 @t196)) % 0.23/0.49 (define @t212 () (= (tptp.sdtasdt0 @t100 @t102) @t211)) % 0.23/0.49 (define @t213 () (and @t212 @t209)) % 0.23/0.49 (define @t214 () (or @t123 @t114 @t113 @t213)) % 0.23/0.49 (define @t215 () (not @t213)) % 0.23/0.49 (define @t216 () (@list @t213)) % 0.23/0.49 (define @t217 () (tptp.sdtasdt0 @t49 @t182)) % 0.23/0.49 (define @t218 () (= @t217 (tptp.sdtpldt0 @t161 @t161))) % 0.23/0.49 (define @t219 () (and @t218 (= (tptp.sdtasdt0 @t132 tptp.sz10) (tptp.sdtpldt0 @t161 (tptp.sdtasdt0 tptp.sz10 tptp.sz10))))) % 0.23/0.49 (define @t220 () (or @t190 @t114 @t114 @t219)) % 0.23/0.49 (define @t221 () (tptp.sdtpldt0 @t161 @t169)) % 0.23/0.49 (define @t222 () (tptp.sdtasdt0 @t49 @t102)) % 0.23/0.49 (define @t223 () (= @t222 @t221)) % 0.23/0.49 (define @t224 () (and @t223 (= (tptp.sdtasdt0 @t132 tptp.xp) (tptp.sdtpldt0 @t169 @t145)))) % 0.23/0.49 (define @t225 () (or @t190 @t114 @t113 @t224)) % 0.23/0.49 (define @t226 () (tptp.sdtasdt0 @t100 @t49)) % 0.23/0.49 (define @t227 () (tptp.smndt0 @t100)) % 0.23/0.49 (define @t228 () (= @t227 @t226)) % 0.23/0.49 (define @t229 () (= @t227 @t200)) % 0.23/0.49 (define @t230 () (and @t229 @t228)) % 0.23/0.49 (define @t231 () (or @t123 @t230)) % 0.23/0.49 (define @t232 () (not @t230)) % 0.23/0.49 (define @t233 () (@list @t230)) % 0.23/0.49 (define @t234 () (= tptp.sz00 @t8)) % 0.23/0.49 (define @t235 () (= tptp.sz00 @t13)) % 0.23/0.49 (define @t236 () (not @t235)) % 0.23/0.49 (define @t237 () (or @t108 @t107 @t236 @t56 @t234)) % 0.23/0.49 (define @t238 () (or @t236 @t56 @t234)) % 0.23/0.49 (define @t239 () (or @t56 @t234)) % 0.23/0.49 (define @t240 () (=> @t235 @t239)) % 0.23/0.49 (define @t241 () (= tptp.sz00 tptp.xp)) % 0.23/0.49 (define @t242 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.xp))) % 0.23/0.49 (define @t243 () (not @t242)) % 0.23/0.49 (define @t244 () (or @t113 @t113 @t243 @t98 @t241)) % 0.23/0.49 (define @t245 () (forall @t12 @t237)) % 0.23/0.49 (define @t246 () (or @t113 @t113 @t243 @t241 @t241)) % 0.23/0.49 (define @t247 () (tptp.sdtasdt0 @t49 @t49)) % 0.23/0.49 (define @t248 () (tptp.sdtpldt0 @t49 @t49)) % 0.23/0.49 (define @t249 () (tptp.sdtasdt0 tptp.xp @t248)) % 0.23/0.49 (define @t250 () (= @t249 (tptp.sdtpldt0 @t167 @t167))) % 0.23/0.49 (define @t251 () (and @t250 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xp @t49) @t49) (tptp.sdtpldt0 @t167 @t247)))) % 0.23/0.49 (define @t252 () (or @t113 @t190 @t190 @t251)) % 0.23/0.49 (define @t253 () (tptp.aInteger0 @t169)) % 0.23/0.49 (define @t254 () (tptp.aInteger0 @t161)) % 0.23/0.49 (define @t255 () (tptp.sdtpldt0 tptp.sz10 @t161)) % 0.23/0.49 (define @t256 () (tptp.sdtpldt0 @t255 @t169)) % 0.23/0.49 (define @t257 () (= (tptp.sdtpldt0 tptp.sz10 @t221) @t256)) % 0.23/0.49 (define @t258 () (not @t253)) % 0.23/0.49 (define @t259 () (not @t254)) % 0.23/0.49 (define @t260 () (or @t114 @t259 @t258 @t257)) % 0.23/0.49 (define @t261 () (= @t49 @t102)) % 0.23/0.49 (define @t262 () (= @t49 @t101)) % 0.23/0.49 (define @t263 () (and @t261 @t262 @t112 @t122 @t127 @t135 @t133 @t141 @t148 @t146 @t155 @t162 @t160 @t170 @t168 @t179 @t184 @t193 @t189 @t199 @t204 @t212 @t209 @t218 @t223 @t229 @t228 @t257 @t250)) % 0.23/0.49 (assume @p1 (forall @t3 (=> @t2 true))) % 0.23/0.49 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.23/0.49 (assume @p3 @t4) % 0.23/0.49 (assume @p4 @t7) % 0.23/0.49 (assume @p5 (forall @t12 (=> @t11 (tptp.aInteger0 @t9)))) % 0.23/0.49 (assume @p6 (forall @t12 (=> @t11 (tptp.aInteger0 @t13)))) % 0.23/0.49 (assume @p7 @t20) % 0.23/0.49 (assume @p8 @t22) % 0.23/0.49 (assume @p9 @t27) % 0.23/0.49 (assume @p10 @t32) % 0.23/0.49 (assume @p11 @t35) % 0.23/0.49 (assume @p12 (forall @t12 (=> @t11 (= @t13 (tptp.sdtasdt0 @t8 @t1))))) % 0.23/0.49 (assume @p13 @t40) % 0.23/0.49 (assume @p14 @t43) % 0.23/0.49 (assume @p15 @t48) % 0.23/0.49 (assume @p16 @t54) % 0.23/0.49 (assume @p17 @t60) % 0.23/0.49 (assume @p18 (forall @t3 (=> @t2 (forall @t64 (= @t63 (and @t10 @t62 (exists @t61 (and @t17 (= @t33 @t1))))))))) % 0.23/0.49 (assume @p19 (forall @t19 (=> @t67 (= @t65 (tptp.aDivisorOf0 @t14 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 0.23/0.49 (assume @p20 (forall @t12 (=> @t68 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 0.23/0.49 (assume @p21 (forall @t19 (=> @t67 (=> @t65 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t1 @t14))))) % 0.23/0.49 (assume @p22 (forall @t71 (=> (and @t2 @t10 @t17 @t66 @t70) (=> (and @t65 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t69 @t14)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t69 @t14))))) % 0.23/0.49 (assume @p23 (forall @t71 (=> (and @t2 @t10 @t17 @t66 @t70 (not (= @t69 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 (tptp.sdtasdt0 @t14 @t69)) (and @t65 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t69)))))) % 0.23/0.49 (assume @p24 (forall @t3 (=> (and @t2 (not @t56)) (=> (tptp.isPrime0 @t1) true)))) % 0.23/0.49 (assume @p25 (forall @t3 (=> @t2 (= (exists @t64 (and @t63 (tptp.isPrime0 @t8))) (and (not (= @t1 tptp.sz10)) (not (= @t1 @t49))))))) % 0.23/0.49 (assume @p26 (forall @t3 (=> @t72 true))) % 0.23/0.49 (assume @p27 (forall @t3 (=> @t72 (forall @t64 (=> @t73 true))))) % 0.23/0.49 (assume @p28 (forall @t3 (=> @t72 (forall @t64 (= (tptp.aSubsetOf0 @t8 @t1) (and @t76 (forall @t61 (=> @t75 @t74)))))))) % 0.23/0.49 (assume @p29 (forall @t3 (=> @t72 (=> @t77 true)))) % 0.23/0.49 (assume @p30 (forall @t12 (=> @t86 (forall @t61 (= (= @t14 @t83) (and @t82 (forall @t81 (= @t80 (and @t70 (or @t79 @t78)))))))))) % 0.23/0.49 (assume @p31 (forall @t12 (=> @t86 (forall @t61 (= (= @t14 @t87) (and @t82 (forall @t81 (= @t80 (and @t70 @t79 @t78))))))))) % 0.23/0.49 (assume @p32 (forall @t3 (=> (and @t72 (forall @t64 (=> @t73 @t84))) (forall @t64 (= (= @t8 @t88) (and @t76 (forall @t61 (= @t75 (and @t17 (exists @t81 (and @t79 (tptp.aElementOf0 @t14 @t69)))))))))))) % 0.23/0.49 (assume @p33 (forall @t3 (=> @t85 (forall @t64 (= (= @t8 @t89) (and @t76 (forall @t61 (= @t75 (and @t17 (not @t74)))))))))) % 0.23/0.49 (assume @p34 (forall @t12 (=> @t68 (forall @t61 (= (= @t14 @t90) (and @t82 (forall @t81 (= @t80 (and @t70 (tptp.sdteqdtlpzmzozddtrp0 @t69 @t1 @t8)))))))))) % 0.23/0.49 (assume @p35 (forall @t3 (=> @t85 (= @t91 (forall @t64 (=> @t73 (exists @t61 (and @t17 @t66 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t8 @t14) @t1))))))))) % 0.23/0.49 (assume @p36 (forall @t3 (=> @t85 (= @t92 (tptp.isOpen0 @t89))))) % 0.23/0.49 (assume @p37 (forall @t3 (=> (and @t72 (forall @t64 (=> @t73 (and @t84 @t93)))) (tptp.isOpen0 @t88)))) % 0.23/0.49 (assume @p38 (forall @t12 (=> (and @t85 @t84 @t91 @t93) (tptp.isOpen0 @t87)))) % 0.23/0.49 (assume @p39 (forall @t12 (=> (and @t85 @t84 @t92 @t94) (tptp.isClosed0 @t83)))) % 0.23/0.49 (assume @p40 (forall @t3 (=> (and @t72 @t77 (forall @t64 (=> @t73 (and @t84 @t94)))) (tptp.isClosed0 @t88)))) % 0.23/0.49 (assume @p41 (forall @t12 (=> @t68 (and (tptp.aSubsetOf0 @t90 tptp.cS1395) (tptp.isClosed0 @t90))))) % 0.23/0.49 (assume @p42 (= tptp.xS tptp.cS2043)) % 0.23/0.49 (assume @p43 (= @t96 tptp.cS2076)) % 0.23/0.49 (assume @p44 (tptp.isFinite0 tptp.xS)) % 0.23/0.49 (assume @p45 (and (tptp.isClosed0 @t95) (tptp.isOpen0 @t96))) % 0.23/0.49 (assume @p46 (and @t99 (not @t98) (tptp.aSubsetOf0 @t97 @t96))) % 0.23/0.49 (assume @p47 (and (tptp.aElementOf0 @t102 @t97) (tptp.aElementOf0 @t101 @t97))) % 0.23/0.49 (assume @p48 (and (not (= @t102 tptp.sz10)) (not (= @t101 tptp.sz10)))) % 0.23/0.49 (assume @p49 @t106) % 0.23/0.49 (assume @p50 true) % 0.23/0.49 (step @p51 :rule eq-symm :args (@t101 @t49)) % 0.23/0.49 (step @p52 :rule cong :premises (@p51) :args (@t103)) % 0.23/0.49 (step @p53 :rule eq-symm :args (@t102 @t49)) % 0.23/0.49 (step @p54 :rule cong :premises (@p53) :args (@t104)) % 0.23/0.49 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t105)) % 0.23/0.49 (step @p56 :rule cong :premises (@p55) :args (@t106)) % 0.23/0.49 (step @p57 :rule eq_resolve :premises (@p49 @p56)) % 0.23/0.49 (step @p58 :rule not_or_elim :premises (@p57) :args (0)) % 0.23/0.49 (step @p59 :rule not_not_elim :premises (@p58)) % 0.23/0.49 (step @p60 :rule not_or_elim :premises (@p57) :args (1)) % 0.23/0.49 (step @p61 :rule not_not_elim :premises (@p60)) % 0.23/0.49 (step @p62 :rule aci_norm :args ((= (or @t109 @t21) (or @t108 @t107 @t21)))) % 0.23/0.49 (step @p63 :rule refl :args (@t21)) % 0.23/0.49 (step @p64 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 0.23/0.49 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t110 @t21))) % 0.23/0.49 (step @p66 :rule trans :premises (@p65 @p62)) % 0.23/0.49 (step @p67 :rule bool-impl-elim :args (@t11 @t21)) % 0.23/0.49 (step @p68 :rule trans :premises (@p67 @p66)) % 0.23/0.49 (step @p69 :rule cong :premises (@p68) :args (@t22)) % 0.23/0.49 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 0.23/0.49 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.sz10 tptp.xp))) % 0.23/0.49 (step @p72 :rule and_elim :premises (@p46) :args (0)) % 0.23/0.49 (step @p73 :rule cnf_or_pos :args (@t115)) % 0.23/0.49 (step @p74 :rule reordering :premises (@p73) :args ((or @t114 @t113 @t112 (not @t115)))) % 0.23/0.49 (step @p75 :rule chain_m_resolution :premises (@p74 @p3 @p72 @p71) :args (@t112 @t116 (@list @t4 @t99 @t115))) % 0.23/0.49 (step @p76 :rule instantiate :premises (@p70) :args ((@list tptp.sz10 @t100))) % 0.23/0.49 (step @p77 :rule bool-impl-elim :args (@t2 @t6)) % 0.23/0.49 (step @p78 :rule cong :premises (@p77) :args (@t7)) % 0.23/0.49 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 0.23/0.49 (step @p80 :rule instantiate :premises (@p79) :args (@t117)) % 0.23/0.49 (step @p81 :rule cnf_or_pos :args (@t119)) % 0.23/0.49 (step @p82 :rule reordering :premises (@p81) :args ((or @t113 @t118 (not @t119)))) % 0.23/0.49 (step @p83 :rule chain_m_resolution :premises (@p82 @p72 @p80) :args (@t118 @t120 (@list @t99 @t119))) % 0.23/0.49 (step @p84 :rule cnf_or_pos :args (@t124)) % 0.23/0.49 (step @p85 :rule reordering :premises (@p84) :args ((or @t114 @t123 @t122 (not @t124)))) % 0.23/0.49 (step @p86 :rule chain_m_resolution :premises (@p85 @p3 @p83 @p76) :args (@t122 @t116 (@list @t4 @t118 @t124))) % 0.23/0.49 (step @p87 :rule bool-impl-elim :args (@t2 @t125)) % 0.23/0.49 (step @p88 :rule cong :premises (@p87) :args ((forall @t3 (=> @t2 @t125)))) % 0.23/0.49 (step @p89 :rule refl :args (@t23)) % 0.23/0.49 (step @p90 :rule eq-symm :args (@t24 @t1)) % 0.23/0.49 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t25)) % 0.23/0.49 (step @p92 :rule refl :args (@t2)) % 0.23/0.49 (step @p93 :rule cong :premises (@p92 @p91) :args (@t26)) % 0.23/0.49 (step @p94 :rule cong :premises (@p93) :args (@t27)) % 0.23/0.49 (step @p95 :rule trans :premises (@p94 @p88)) % 0.23/0.49 (step @p96 :rule eq_resolve :premises (@p9 @p95)) % 0.23/0.49 (step @p97 :rule instantiate :premises (@p96) :args (@t126)) % 0.23/0.49 (step @p98 :rule cnf_or_pos :args (@t129)) % 0.23/0.49 (step @p99 :rule reordering :premises (@p98) :args ((or @t114 @t128 (not @t129)))) % 0.23/0.49 (step @p100 :rule chain_m_resolution :premises (@p99 @p3 @p97) :args (@t128 @t120 (@list @t4 @t129))) % 0.23/0.49 (step @p101 :rule cnf_and_pos :args (@t128 1)) % 0.23/0.49 (step @p102 :rule reordering :premises (@p101) :args ((or @t127 (not @t128)))) % 0.23/0.49 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t127 @t130 (@list @t128))) % 0.23/0.49 (step @p104 :rule bool-impl-elim :args (@t2 @t131)) % 0.23/0.49 (step @p105 :rule cong :premises (@p104) :args ((forall @t3 (=> @t2 @t131)))) % 0.23/0.49 (step @p106 :rule refl :args (@t28)) % 0.23/0.49 (step @p107 :rule eq-symm :args (@t29 tptp.sz00)) % 0.23/0.49 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t30)) % 0.23/0.49 (step @p109 :rule cong :premises (@p92 @p108) :args (@t31)) % 0.23/0.49 (step @p110 :rule cong :premises (@p109) :args (@t32)) % 0.23/0.49 (step @p111 :rule trans :premises (@p110 @p105)) % 0.23/0.49 (step @p112 :rule eq_resolve :premises (@p10 @p111)) % 0.23/0.49 (step @p113 :rule instantiate :premises (@p112) :args (@t126)) % 0.23/0.49 (step @p114 :rule cnf_or_pos :args (@t137)) % 0.23/0.49 (step @p115 :rule reordering :premises (@p114) :args ((or @t114 @t136 (not @t137)))) % 0.23/0.49 (step @p116 :rule chain_m_resolution :premises (@p115 @p3 @p113) :args (@t136 @t120 (@list @t4 @t137))) % 0.23/0.49 (step @p117 :rule cnf_and_pos :args (@t136 0)) % 0.23/0.49 (step @p118 :rule reordering :premises (@p117) :args ((or @t135 @t138))) % 0.23/0.49 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t135 @t130 @t139)) % 0.23/0.49 (step @p120 :rule cnf_and_pos :args (@t136 1)) % 0.23/0.49 (step @p121 :rule reordering :premises (@p120) :args ((or @t133 @t138))) % 0.23/0.49 (step @p122 :rule chain_m_resolution :premises (@p121 @p116) :args (@t133 @t130 @t139)) % 0.23/0.49 (step @p123 :rule instantiate :premises (@p112) :args (@t117)) % 0.23/0.49 (step @p124 :rule cnf_or_pos :args (@t143)) % 0.23/0.49 (step @p125 :rule reordering :premises (@p124) :args ((or @t113 @t142 (not @t143)))) % 0.23/0.49 (step @p126 :rule 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:premises (@p180)) % 0.23/0.49 (step @p353 :rule cong :premises (@p352) :args (@t254)) % 0.23/0.49 (step @p354 :rule trans :premises (@p353 @p351)) % 0.23/0.49 (step @p355 :rule true_elim :premises (@p354)) % 0.23/0.49 (step @p356 :rule cnf_or_pos :args (@t260)) % 0.23/0.49 (step @p357 :rule reordering :premises (@p356) :args ((or @t114 @t259 @t258 @t257 (not @t260)))) % 0.23/0.49 (step @p358 :rule chain_m_resolution :premises (@p357 @p3 @p355 @p350 @p345) :args (@t257 @t181 (@list @t4 @t254 @t253 @t260))) % 0.23/0.49 (assume-push @p502 @t261) % 0.23/0.49 (assume-push @p503 @t262) % 0.23/0.49 (assume-push @p504 @t112) % 0.23/0.49 (assume-push @p505 @t122) % 0.23/0.49 (assume-push @p506 @t127) % 0.23/0.49 (assume-push @p507 @t135) % 0.23/0.49 (assume-push @p508 @t133) % 0.23/0.49 (assume-push @p509 @t141) % 0.23/0.49 (assume-push @p510 @t148) % 0.23/0.49 (assume-push @p511 @t146) % 0.23/0.49 (assume-push @p512 @t155) % 0.23/0.49 (assume-push @p513 @t162) % 0.23/0.49 (assume-push @p514 @t160) % 0.23/0.49 (assume-push @p515 @t170) % 0.23/0.49 (assume-push @p516 @t168) % 0.23/0.49 (assume-push @p517 @t179) % 0.23/0.49 (assume-push @p518 @t184) % 0.23/0.49 (assume-push @p519 @t193) % 0.23/0.49 (assume-push @p520 @t189) % 0.23/0.49 (assume-push @p521 @t199) % 0.23/0.49 (assume-push @p522 @t204) % 0.23/0.49 (assume-push @p523 @t212) % 0.23/0.49 (assume-push @p524 @t209) % 0.23/0.49 (assume-push @p525 @t218) % 0.23/0.49 (assume-push @p526 @t223) % 0.23/0.49 (assume-push @p527 @t229) % 0.23/0.49 (assume-push @p528 @t228) % 0.23/0.49 (assume-push @p529 @t257) % 0.23/0.49 (assume-push @p530 @t250) % 0.23/0.49 (step @p388 :rule symm :premises (@p148)) % 0.23/0.49 (step @p389 :rule refl :args (tptp.xp)) % 0.23/0.49 (step @p390 :rule symm :premises (@p103)) % 0.23/0.49 (step @p391 :rule refl :args (tptp.sz10)) % 0.23/0.49 (step @p392 :rule symm :premises (@p129)) % 0.23/0.49 (step @p393 :rule cong :premises (@p392 @p391) :args (@t178)) % 0.23/0.49 (step @p394 :rule symm :premises (@p183)) % 0.23/0.49 (step @p395 :rule trans :premises (@p394 @p59 @p75)) % 0.23/0.49 (step @p396 :rule symm :premises (@p193)) % 0.23/0.49 (step @p397 :rule cong :premises (@p396 @p395) :args (@t203)) % 0.23/0.49 (step @p398 :rule refl :args (@t49)) % 0.23/0.49 (step @p399 :rule trans :premises (@p59 @p75)) % 0.23/0.49 (step @p400 :rule cong :premises (@p399 @p398) :args (@t247)) % 0.23/0.49 (step @p401 :rule symm :premises (@p59)) % 0.23/0.49 (step @p402 :rule cong :premises (@p398 @p401) :args (@t222)) % 0.23/0.49 (step @p403 :rule symm :premises (@p287)) % 0.23/0.49 (step @p404 :rule cong :premises (@p180 @p190) :args (@t197)) % 0.23/0.49 (step @p405 :rule trans :premises (@p404 @p403 @p402 @p400 @p262 @p397 @p212 @p393 @p390)) % 0.23/0.49 (step @p406 :rule cong :premises (@p405 @p389) :args (@t198)) % 0.23/0.49 (step @p407 :rule symm :premises (@p255)) % 0.23/0.49 (step @p408 :rule refl :args (@t196)) % 0.23/0.49 (step @p409 :rule symm :premises (@p145)) % 0.23/0.49 (step @p410 :rule cong :premises (@p398 @p409) :args (@t188)) % 0.23/0.49 (step @p411 :rule symm :premises (@p233)) % 0.23/0.49 (step @p412 :rule cong :premises (@p190 @p391) :args (@t210)) % 0.23/0.49 (step @p413 :rule trans :premises (@p412 @p411 @p410 @p347)) % 0.23/0.49 (step @p414 :rule trans :premises (@p413 @p190)) % 0.23/0.49 (step @p415 :rule cong :premises (@p414 @p408) :args (@t211)) % 0.23/0.49 (step @p416 :rule refl :args (@t100)) % 0.23/0.49 (step @p417 :rule cong :premises (@p416 @p59) :args (@t226)) % 0.23/0.49 (step @p418 :rule symm :premises (@p294)) % 0.23/0.49 (step @p419 :rule symm :premises (@p240)) % 0.23/0.49 (step @p420 :rule symm :premises (@p164)) % 0.23/0.49 (step @p421 :rule cong :premises (@p420 @p396) :args ((tptp.sdtpldt0 @t154 @t167))) % 0.23/0.49 (step @p422 :rule trans :premises (@p347 @p193)) % 0.23/0.49 (step @p423 :rule symm :premises (@p119)) % 0.23/0.49 (step @p424 :rule cong :premises (@p391 @p352) :args (@t255)) % 0.23/0.49 (step @p425 :rule trans :premises (@p424 @p423)) % 0.23/0.49 (step @p426 :rule trans :premises (@p425 @p164)) % 0.23/0.49 (step @p427 :rule cong :premises (@p426 @p422) :args (@t256)) % 0.23/0.49 (step @p428 :rule symm :premises (@p402)) % 0.23/0.49 (step @p429 :rule symm :premises (@p400)) % 0.23/0.49 (step @p430 :rule symm :premises (@p262)) % 0.23/0.49 (step @p431 :rule symm :premises (@p397)) % 0.23/0.49 (step @p432 :rule symm :premises (@p212)) % 0.23/0.49 (step @p433 :rule symm :premises (@p393)) % 0.23/0.49 (step @p434 :rule trans :premises (@p103 @p433 @p432 @p431 @p430 @p429 @p428 @p287)) % 0.23/0.49 (step @p435 :rule cong :premises (@p391 @p434) :args (@t182)) % 0.23/0.49 (step @p436 :rule trans :premises (@p435 @p358 @p427 @p421 @p419)) % 0.23/0.49 (step @p437 :rule cong :premises (@p394 @p436) :args ((tptp.sdtasdt0 @t159 @t182))) % 0.23/0.49 (step @p438 :rule refl :args (@t182)) % 0.23/0.49 (step @p439 :rule cong :premises (@p183 @p438) :args (@t217)) % 0.23/0.49 (step @p440 :rule symm :premises (@p280)) % 0.23/0.49 (step @p441 :rule cong :premises (@p180 @p180) :args (@t248)) % 0.23/0.49 (step @p442 :rule trans :premises (@p441 @p440 @p439 @p437 @p418 @p297 @p417 @p269 @p415 @p407 @p406 @p388)) % 0.23/0.49 (step @p443 :rule cong :premises (@p389 @p442) :args (@t249)) % 0.23/0.49 (step @p444 :rule symm :premises (@p344)) % 0.23/0.49 (step @p445 :rule trans :premises (@p412 @p411 @p410 @p347 @p193)) % 0.23/0.49 (step @p446 :rule cong :premises (@p445 @p445) :args ((tptp.sdtpldt0 @t210 @t210))) % 0.23/0.49 (step @p447 :rule symm :premises (@p412)) % 0.23/0.49 (step @p448 :rule symm :premises (@p410)) % 0.23/0.49 (step @p449 :rule trans :premises (@p435 @p358 @p427 @p421 @p419 @p190 @p448 @p233 @p447)) % 0.23/0.49 (step @p450 :rule symm :premises (@p413)) % 0.23/0.49 (step @p451 :rule symm :premises (@p61)) % 0.23/0.49 (step @p452 :rule symm :premises (@p86)) % 0.23/0.49 (step @p453 :rule trans :premises (@p452 @p451)) % 0.23/0.49 (step @p454 :rule cong :premises (@p453 @p389) :args (@t208)) % 0.23/0.49 (step @p455 :rule symm :premises (@p272)) % 0.23/0.49 (step @p456 :rule trans :premises (@p455 @p454 @p347)) % 0.23/0.49 (step @p457 :rule trans :premises (@p456 @p450)) % 0.23/0.49 (step @p458 :rule cong :premises (@p457 @p449) :args ((tptp.sdtpldt0 @t207 @t182))) % 0.23/0.49 (step @p459 :rule symm :premises (@p456)) % 0.23/0.49 (step @p460 :rule cong :premises (@p459 @p438) :args (@t183)) % 0.23/0.49 (step @p461 :rule symm :premises (@p217)) % 0.23/0.49 (step @p462 :rule symm :premises (@p453)) % 0.23/0.49 (step @p463 :rule cong :premises (@p462 @p391) :args (@t132)) % 0.23/0.49 (step @p464 :rule trans :premises (@p122 @p463 @p461 @p460 @p458 @p446 @p444 @p443)) % 0.23/0.49 (step-pop @p531 :rule scope :premises (@p464)) % 0.23/0.49 (step-pop @p532 :rule scope :premises (@p531)) % 0.23/0.49 (step-pop @p533 :rule scope :premises (@p532)) % 0.23/0.49 (step-pop @p534 :rule scope :premises (@p533)) % 0.23/0.49 (step-pop @p535 :rule scope :premises (@p534)) % 0.23/0.49 (step-pop @p536 :rule scope :premises (@p535)) % 0.23/0.49 (step-pop @p537 :rule scope :premises (@p536)) % 0.23/0.49 (step-pop @p538 :rule scope :premises (@p537)) % 0.23/0.49 (step-pop @p539 :rule scope :premises (@p538)) % 0.23/0.49 (step-pop @p540 :rule scope :premises (@p539)) % 0.23/0.49 (step-pop @p541 :rule scope :premises (@p540)) % 0.23/0.49 (step-pop @p542 :rule scope :premises (@p541)) % 0.23/0.49 (step-pop @p543 :rule scope :premises (@p542)) % 0.23/0.49 (step-pop @p544 :rule scope :premises (@p543)) % 0.23/0.49 (step-pop @p545 :rule scope :premises (@p544)) % 0.23/0.49 (step-pop @p546 :rule scope :premises (@p545)) % 0.23/0.49 (step-pop @p547 :rule scope :premises (@p546)) % 0.23/0.49 (step-pop @p548 :rule scope :premises (@p547)) % 0.23/0.49 (step-pop @p549 :rule scope :premises (@p548)) % 0.23/0.49 (step-pop @p550 :rule scope :premises (@p549)) % 0.23/0.49 (step-pop @p551 :rule scope :premises (@p550)) % 0.23/0.49 (step-pop @p552 :rule scope :premises (@p551)) % 0.23/0.49 (step-pop @p553 :rule scope :premises (@p552)) % 0.23/0.49 (step-pop @p554 :rule scope :premises (@p553)) % 0.23/0.49 (step-pop @p555 :rule scope :premises (@p554)) % 0.23/0.49 (step-pop @p556 :rule scope :premises (@p555)) % 0.23/0.49 (step-pop @p557 :rule scope :premises (@p556)) % 0.23/0.49 (step-pop @p558 :rule scope :premises (@p557)) % 0.23/0.49 (step-pop @p559 :rule scope :premises (@p558)) % 0.23/0.49 (step @p465 :rule process_scope :premises (@p559) :args (@t242)) % 0.23/0.49 (step @p495 :rule implies_elim :premises (@p465)) % 0.23/0.49 (step @p496 :rule cnf_and_neg :args (@t263)) % 0.23/0.49 (step @p497 :rule resolution :premises (@p496 @p495) :args (true @t263)) % 0.23/0.49 (step @p498 :rule reordering :premises (@p497) :args ((or (not @t261) (not @t262) (not @t112) (not @t122) (not @t127) (not @t135) (not @t133) (not @t141) (not @t148) (not @t146) (not @t155) (not @t162) (not @t160) (not @t170) (not @t168) (not @t179) (not @t184) (not @t193) (not @t189) (not @t199) (not @t204) (not @t212) (not @t209) (not @t218) (not @t223) (not @t229) (not @t228) @t242 (not @t257) (not @t250)))) % 0.23/0.49 (step @p499 false :rule chain_m_resolution :premises (@p498 @p358 @p344 @p336 @p297 @p294 @p287 @p280 @p272 @p269 @p262 @p255 @p240 @p233 @p217 @p212 @p193 @p190 @p183 @p180 @p164 @p148 @p145 @p129 @p122 @p119 @p103 @p86 @p75 @p61 @p59) :args (false (@list false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t257 @t250 @t242 @t228 @t229 @t223 @t218 @t209 @t212 @t204 @t199 @t193 @t189 @t184 @t179 @t168 @t170 @t160 @t162 @t155 @t146 @t148 @t141 @t133 @t135 @t127 @t122 @t112 @t262 @t261))) % 0.23/0.49 ) % 0.23/0.49 % SZS output end Proof % 0.23/0.50 % cvc5 exiting %------------------------------------------------------------------------------