%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM441+6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:39:25 AM UTC 2026 % Result : Theorem 0.37s 0.66s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM441+6 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:19:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.66 % SZS status Theorem % 0.37/0.66 % SZS output start Proof % 0.37/0.66 ( % 0.37/0.66 (declare-sort $$unsorted 0) % 0.37/0.66 (declare-const tptp.xB $$unsorted) % 0.37/0.66 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.xA $$unsorted) % 0.37/0.66 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.cS1395 $$unsorted) % 0.37/0.66 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.sz10 $$unsorted) % 0.37/0.66 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.sz00 $$unsorted) % 0.37/0.66 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.37/0.66 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.66 (define @t2 () (tptp.aInteger0 @t1)) % 0.37/0.66 (define @t3 () (@list @t1)) % 0.37/0.66 (define @t4 () (tptp.smndt0 @t1)) % 0.37/0.66 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.66 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.66 (define @t7 () (tptp.aInteger0 @t5)) % 0.37/0.66 (define @t8 () (and @t2 @t7)) % 0.37/0.66 (define @t9 () (@list @t1 @t5)) % 0.37/0.66 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.66 (define @t11 () (@var "W2" $$unsorted)) % 0.37/0.66 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 0.37/0.66 (define @t13 () (tptp.aInteger0 @t11)) % 0.37/0.66 (define @t14 () (and @t2 @t7 @t13)) % 0.37/0.66 (define @t15 () (@list @t1 @t5 @t11)) % 0.37/0.66 (define @t16 () (tptp.sdtasdt0 @t5 @t11)) % 0.37/0.66 (define @t17 () (tptp.sdtasdt0 @t1 @t11)) % 0.37/0.66 (define @t18 () (tptp.smndt0 tptp.sz10)) % 0.37/0.66 (define @t19 () (= @t5 tptp.sz00)) % 0.37/0.66 (define @t20 () (= @t1 tptp.sz00)) % 0.37/0.66 (define @t21 () (@list @t11)) % 0.37/0.66 (define @t22 () (not @t19)) % 0.37/0.66 (define @t23 () (tptp.aDivisorOf0 @t5 @t1)) % 0.37/0.66 (define @t24 () (@list @t5)) % 0.37/0.66 (define @t25 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11)) % 0.37/0.66 (define @t26 () (not (= @t11 tptp.sz00))) % 0.37/0.66 (define @t27 () (and @t2 @t7 @t13 @t26)) % 0.37/0.66 (define @t28 () (and @t2 @t7 @t22)) % 0.37/0.66 (define @t29 () (@var "W3" $$unsorted)) % 0.37/0.66 (define @t30 () (tptp.aInteger0 @t29)) % 0.37/0.66 (define @t31 () (@list @t1 @t5 @t11 @t29)) % 0.37/0.66 (define @t32 () (tptp.aSet0 @t1)) % 0.37/0.66 (define @t33 () (tptp.aElementOf0 @t5 @t1)) % 0.37/0.66 (define @t34 () (tptp.aElementOf0 @t11 @t1)) % 0.37/0.66 (define @t35 () (tptp.aElementOf0 @t11 @t5)) % 0.37/0.66 (define @t36 () (tptp.aSet0 @t5)) % 0.37/0.66 (define @t37 () (tptp.aElementOf0 @t29 @t5)) % 0.37/0.66 (define @t38 () (tptp.aElementOf0 @t29 @t1)) % 0.37/0.66 (define @t39 () (tptp.aElementOf0 @t29 @t11)) % 0.37/0.66 (define @t40 () (@list @t29)) % 0.37/0.66 (define @t41 () (tptp.aSet0 @t11)) % 0.37/0.66 (define @t42 () (tptp.aSubsetOf0 @t5 tptp.cS1395)) % 0.37/0.66 (define @t43 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 0.37/0.66 (define @t44 () (and @t43 @t42)) % 0.37/0.66 (define @t45 () (tptp.sdtslmnbsdt0 @t1 @t5)) % 0.37/0.66 (define @t46 () (tptp.sbsmnsldt0 @t1)) % 0.37/0.66 (define @t47 () (tptp.stldt0 @t1)) % 0.37/0.66 (define @t48 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t5)) % 0.37/0.66 (define @t49 () (tptp.isOpen0 @t1)) % 0.37/0.66 (define @t50 () (tptp.isOpen0 @t5)) % 0.37/0.66 (define @t51 () (tptp.isOpen0 @t45)) % 0.37/0.66 (define @t52 () (and @t43 @t42 @t49 @t50)) % 0.37/0.66 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.37/0.66 (define @t54 () (tptp.stldt0 tptp.xB)) % 0.37/0.66 (define @t55 () (tptp.isOpen0 @t54)) % 0.37/0.66 (define @t56 () (tptp.aElementOf0 @t11 @t48)) % 0.37/0.66 (define @t57 () (tptp.sdteqdtlpzmzozddtrp0 @t11 @t1 @t5)) % 0.37/0.66 (define @t58 () (tptp.sdtpldt0 @t11 @t4)) % 0.37/0.66 (define @t59 () (tptp.aDivisorOf0 @t5 @t58)) % 0.37/0.66 (define @t60 () (tptp.sdtasdt0 @t5 @t29)) % 0.37/0.66 (define @t61 () (and @t30 (= @t60 @t58))) % 0.37/0.66 (define @t62 () (exists @t40 @t61)) % 0.37/0.66 (define @t63 () (or @t62 @t59 @t57)) % 0.37/0.66 (define @t64 () (and @t13 @t63)) % 0.37/0.66 (define @t65 () (=> @t64 @t56)) % 0.37/0.66 (define @t66 () (and @t13 @t62 @t59 @t57)) % 0.37/0.66 (define @t67 () (=> @t56 @t66)) % 0.37/0.66 (define @t68 () (and @t67 @t65)) % 0.37/0.66 (define @t69 () (forall @t21 @t68)) % 0.37/0.66 (define @t70 () (tptp.aSet0 @t48)) % 0.37/0.66 (define @t71 () (tptp.aElementOf0 @t1 @t54)) % 0.37/0.66 (define @t72 () (tptp.aElementOf0 @t1 tptp.xB)) % 0.37/0.66 (define @t73 () (forall @t3 (= @t71 (and @t2 (not @t72))))) % 0.37/0.66 (define @t74 () (tptp.aSet0 @t54)) % 0.37/0.66 (define @t75 () (tptp.stldt0 tptp.xA)) % 0.37/0.66 (define @t76 () (tptp.isOpen0 @t75)) % 0.37/0.66 (define @t77 () (tptp.aElementOf0 @t1 @t75)) % 0.37/0.66 (define @t78 () (tptp.aElementOf0 @t1 tptp.xA)) % 0.37/0.66 (define @t79 () (forall @t3 (= @t77 (and @t2 (not @t78))))) % 0.37/0.66 (define @t80 () (tptp.aSet0 @t75)) % 0.37/0.66 (define @t81 () (tptp.aElementOf0 @t1 tptp.cS1395)) % 0.37/0.66 (define @t82 () (forall @t3 (= @t81 @t2))) % 0.37/0.66 (define @t83 () (tptp.aSet0 tptp.cS1395)) % 0.37/0.66 (define @t84 () (tptp.sdtslmnbsdt0 @t75 @t54)) % 0.37/0.66 (define @t85 () (tptp.sdtbsmnsldt0 tptp.xA tptp.xB)) % 0.37/0.66 (define @t86 () (tptp.stldt0 @t85)) % 0.37/0.66 (define @t87 () (tptp.aElementOf0 @t1 @t86)) % 0.37/0.66 (define @t88 () (tptp.aElementOf0 @t1 @t85)) % 0.37/0.66 (define @t89 () (forall @t3 (= @t87 (and @t2 (not @t88))))) % 0.37/0.66 (define @t90 () (tptp.aSet0 @t86)) % 0.37/0.66 (define @t91 () (forall @t3 (= @t88 (and @t2 (or @t78 @t72))))) % 0.37/0.66 (define @t92 () (tptp.aSet0 @t85)) % 0.37/0.66 (define @t93 () (tptp.aSubsetOf0 @t54 tptp.cS1395)) % 0.37/0.66 (define @t94 () (tptp.aSubsetOf0 @t75 tptp.cS1395)) % 0.37/0.66 (define @t95 () (tptp.isClosed0 @t85)) % 0.37/0.66 (define @t96 () (tptp.isOpen0 @t86)) % 0.37/0.66 (define @t97 () (tptp.aSubsetOf0 @t48 @t86)) % 0.37/0.66 (define @t98 () (tptp.aElementOf0 @t11 @t86)) % 0.37/0.66 (define @t99 () (forall @t21 (=> @t56 @t98))) % 0.37/0.66 (define @t100 () (or @t99 @t97)) % 0.37/0.66 (define @t101 () (and @t70 @t69)) % 0.37/0.66 (define @t102 () (=> @t101 @t100)) % 0.37/0.66 (define @t103 () (and @t7 @t22 @t102)) % 0.37/0.66 (define @t104 () (exists @t24 @t103)) % 0.37/0.66 (define @t105 () (=> @t87 @t104)) % 0.37/0.66 (define @t106 () (forall @t3 @t105)) % 0.37/0.66 (define @t107 () (or @t106 @t96)) % 0.37/0.66 (define @t108 () (and @t90 @t89)) % 0.37/0.66 (define @t109 () (=> @t108 @t107)) % 0.37/0.66 (define @t110 () (or @t109 @t95)) % 0.37/0.66 (define @t111 () (and @t92 @t91)) % 0.37/0.66 (define @t112 () (=> @t111 @t110)) % 0.37/0.66 (define @t113 () (not @t112)) % 0.37/0.66 (define @t114 () (not @t50)) % 0.37/0.66 (define @t115 () (not @t49)) % 0.37/0.66 (define @t116 () (not @t42)) % 0.37/0.66 (define @t117 () (not @t43)) % 0.37/0.66 (define @t118 () (or @t117 @t116 @t115 @t114 @t51)) % 0.37/0.66 (define @t119 () (or @t117 @t116 @t115 @t114)) % 0.37/0.66 (define @t120 () (not @t97)) % 0.37/0.66 (define @t121 () (not @t56)) % 0.37/0.66 (define @t122 () (forall @t21 (or @t121 @t98))) % 0.37/0.66 (define @t123 () (not @t122)) % 0.37/0.66 (define @t124 () (@var "BOUND_VARIABLE_8423" $$unsorted)) % 0.37/0.66 (define @t125 () (tptp.sdtpldt0 @t124 @t4)) % 0.37/0.66 (define @t126 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 0.37/0.66 (define @t127 () (or (not (tptp.aInteger0 @t124)) (and (or (not (tptp.aInteger0 @t126)) (not (= @t125 (tptp.sdtasdt0 @t5 @t126)))) (not (tptp.aDivisorOf0 @t5 @t125)) (not (tptp.sdteqdtlpzmzozddtrp0 @t124 @t1 @t5))) (tptp.aElementOf0 @t124 @t48))) % 0.37/0.66 (define @t128 () (@var "BOUND_VARIABLE_8408" $$unsorted)) % 0.37/0.66 (define @t129 () (tptp.sdtpldt0 @t128 @t4)) % 0.37/0.66 (define @t130 () (not @t30)) % 0.37/0.66 (define @t131 () (or (not (tptp.aElementOf0 @t128 @t48)) (and (tptp.aInteger0 @t128) (not (forall @t40 (or @t130 (not (= @t60 @t129))))) (tptp.aDivisorOf0 @t5 @t129) (tptp.sdteqdtlpzmzozddtrp0 @t128 @t1 @t5)))) % 0.37/0.66 (define @t132 () (and @t70 @t131 @t127 @t123 @t120)) % 0.37/0.66 (define @t133 () (= tptp.sz00 @t5)) % 0.37/0.66 (define @t134 () (not @t7)) % 0.37/0.66 (define @t135 () (or @t134 @t133 @t132)) % 0.37/0.66 (define @t136 () (forall (@list @t5 @t128 @t124 @t126) @t135)) % 0.37/0.66 (define @t137 () (not @t136)) % 0.37/0.66 (define @t138 () (@list @t128 @t124 @t126)) % 0.37/0.66 (define @t139 () (forall @t138 @t135)) % 0.37/0.66 (define @t140 () (forall @t138 @t120)) % 0.37/0.66 (define @t141 () (forall @t138 @t123)) % 0.37/0.66 (define @t142 () (forall (@list @t124 @t126) @t127)) % 0.37/0.66 (define @t143 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.37/0.66 (define @t144 () (@var "BOUND_VARIABLE_8289" $$unsorted)) % 0.37/0.66 (define @t145 () (forall @t138 @t127)) % 0.37/0.66 (define @t146 () (forall (@list @t128) @t131)) % 0.37/0.66 (define @t147 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 0.37/0.66 (define @t148 () (@list @t147)) % 0.37/0.66 (define @t149 () (forall @t138 @t131)) % 0.37/0.66 (define @t150 () (forall @t138 @t70)) % 0.37/0.66 (define @t151 () (and @t150 @t149 @t145 @t141 @t140)) % 0.37/0.66 (define @t152 () (forall @t138 @t132)) % 0.37/0.66 (define @t153 () (or @t134 @t133 @t152)) % 0.37/0.66 (define @t154 () (tptp.aElementOf0 @t144 @t48)) % 0.37/0.66 (define @t155 () (not (tptp.sdteqdtlpzmzozddtrp0 @t144 @t1 @t5))) % 0.37/0.66 (define @t156 () (tptp.sdtpldt0 @t144 @t4)) % 0.37/0.66 (define @t157 () (not (tptp.aDivisorOf0 @t5 @t156))) % 0.37/0.66 (define @t158 () (tptp.sdtasdt0 @t5 @t143)) % 0.37/0.66 (define @t159 () (not (tptp.aInteger0 @t143))) % 0.37/0.66 (define @t160 () (not (tptp.aInteger0 @t144))) % 0.37/0.66 (define @t161 () (@list @t144 @t143)) % 0.37/0.66 (define @t162 () (forall @t161 (or @t160 (and (or @t159 (not (= @t156 @t158))) @t157 @t155) @t154))) % 0.37/0.66 (define @t163 () (tptp.sdteqdtlpzmzozddtrp0 @t147 @t1 @t5)) % 0.37/0.66 (define @t164 () (tptp.sdtpldt0 @t147 @t4)) % 0.37/0.66 (define @t165 () (tptp.aDivisorOf0 @t5 @t164)) % 0.37/0.66 (define @t166 () (tptp.aInteger0 @t147)) % 0.37/0.66 (define @t167 () (not (tptp.aElementOf0 @t147 @t48))) % 0.37/0.66 (define @t168 () (@list @t147)) % 0.37/0.66 (define @t169 () (forall @t168 (or @t167 (and @t166 (not (forall @t40 (or @t130 (not (= @t60 @t164))))) @t165 @t163)))) % 0.37/0.66 (define @t170 () (and @t70 @t169 @t162 @t123 @t120)) % 0.37/0.66 (define @t171 () (and @t70 @t169 @t162)) % 0.37/0.66 (define @t172 () (or @t122 @t97)) % 0.37/0.66 (define @t173 () (=> @t171 @t172)) % 0.37/0.66 (define @t174 () (not @t173)) % 0.37/0.66 (define @t175 () (not @t133)) % 0.37/0.66 (define @t176 () (not @t175)) % 0.37/0.66 (define @t177 () (or @t134 @t176 @t174)) % 0.37/0.66 (define @t178 () (and @t7 @t175 @t173)) % 0.37/0.66 (define @t179 () (forall @t24 (not @t178))) % 0.37/0.66 (define @t180 () (not @t179)) % 0.37/0.66 (define @t181 () (not (= @t158 @t156))) % 0.37/0.66 (define @t182 () (or @t159 @t181)) % 0.37/0.66 (define @t183 () (and @t182 @t157 @t155)) % 0.37/0.66 (define @t184 () (or @t160 @t183 @t154)) % 0.37/0.66 (define @t185 () (forall @t161 @t184)) % 0.37/0.66 (define @t186 () (@list @t143)) % 0.37/0.66 (define @t187 () (forall @t186 @t184)) % 0.37/0.66 (define @t188 () (@list @t144)) % 0.37/0.66 (define @t189 () (forall @t186 @t155)) % 0.37/0.66 (define @t190 () (forall @t186 @t157)) % 0.37/0.66 (define @t191 () (forall @t186 @t182)) % 0.37/0.66 (define @t192 () (and @t191 @t190 @t189)) % 0.37/0.66 (define @t193 () (forall @t186 @t183)) % 0.37/0.66 (define @t194 () (or @t160 @t193 @t154)) % 0.37/0.66 (define @t195 () (not (= @t156 @t60))) % 0.37/0.66 (define @t196 () (or @t130 @t195)) % 0.37/0.66 (define @t197 () (forall @t40 @t196)) % 0.37/0.66 (define @t198 () (and @t197 @t157 @t155)) % 0.37/0.66 (define @t199 () (or @t160 @t198 @t154)) % 0.37/0.66 (define @t200 () (forall @t188 @t199)) % 0.37/0.66 (define @t201 () (not (= @t164 @t60))) % 0.37/0.66 (define @t202 () (or @t130 @t201)) % 0.37/0.66 (define @t203 () (forall @t40 @t202)) % 0.37/0.66 (define @t204 () (not @t203)) % 0.37/0.66 (define @t205 () (and @t166 @t204 @t165 @t163)) % 0.37/0.66 (define @t206 () (or @t167 @t205)) % 0.37/0.66 (define @t207 () (forall @t168 @t206)) % 0.37/0.66 (define @t208 () (not @t57)) % 0.37/0.66 (define @t209 () (not @t59)) % 0.37/0.66 (define @t210 () (= @t58 @t60)) % 0.37/0.66 (define @t211 () (forall @t40 (or @t130 (not @t210)))) % 0.37/0.66 (define @t212 () (and @t211 @t209 @t208)) % 0.37/0.66 (define @t213 () (not @t13)) % 0.37/0.66 (define @t214 () (or @t213 @t212 @t56)) % 0.37/0.66 (define @t215 () (forall @t21 @t214)) % 0.37/0.66 (define @t216 () (@list @t11)) % 0.37/0.66 (define @t217 () (not @t211)) % 0.37/0.66 (define @t218 () (and @t13 @t217 @t59 @t57)) % 0.37/0.66 (define @t219 () (or @t121 @t218)) % 0.37/0.66 (define @t220 () (forall @t21 @t219)) % 0.37/0.66 (define @t221 () (and @t220 @t215)) % 0.37/0.66 (define @t222 () (not @t217)) % 0.37/0.66 (define @t223 () (and @t222 @t209 @t208)) % 0.37/0.66 (define @t224 () (or @t217 @t59 @t57)) % 0.37/0.66 (define @t225 () (and @t13 @t224)) % 0.37/0.66 (define @t226 () (and (=> @t56 @t218) (=> @t225 @t56))) % 0.37/0.66 (define @t227 () (and @t30 @t210)) % 0.37/0.66 (define @t228 () (forall @t40 (not @t227))) % 0.37/0.66 (define @t229 () (not @t228)) % 0.37/0.66 (define @t230 () (tptp.isOpen0 @t84)) % 0.37/0.66 (define @t231 () (not @t55)) % 0.37/0.66 (define @t232 () (not @t76)) % 0.37/0.66 (define @t233 () (not @t93)) % 0.37/0.66 (define @t234 () (not @t94)) % 0.37/0.66 (define @t235 () (or @t234 @t233 @t232 @t231 @t230)) % 0.37/0.66 (define @t236 () (not @t235)) % 0.37/0.66 (define @t237 () (forall @t9 @t118)) % 0.37/0.66 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.66 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.37/0.66 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.37/0.66 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t4)))) % 0.37/0.66 (assume @p5 (forall @t9 (=> @t8 (tptp.aInteger0 @t6)))) % 0.37/0.66 (assume @p6 (forall @t9 (=> @t8 (tptp.aInteger0 @t10)))) % 0.37/0.66 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t1 @t12) (tptp.sdtpldt0 @t6 @t11))))) % 0.37/0.66 (assume @p8 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.37/0.66 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.37/0.66 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.37/0.66 (assume @p11 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtasdt0 @t10 @t11))))) % 0.37/0.66 (assume @p12 (forall @t9 (=> @t8 (= @t10 (tptp.sdtasdt0 @t5 @t1))))) % 0.37/0.66 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.37/0.66 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t17)) (= (tptp.sdtasdt0 @t6 @t11) (tptp.sdtpldt0 @t17 @t16)))))) % 0.37/0.66 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.37/0.66 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t18)))))) % 0.37/0.66 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t20 @t19))))) % 0.37/0.66 (assume @p18 (forall @t3 (=> @t2 (forall @t24 (= @t23 (and @t7 @t22 (exists @t21 (and @t13 (= @t16 @t1))))))))) % 0.37/0.66 (assume @p19 (forall @t15 (=> @t27 (= @t25 (tptp.aDivisorOf0 @t11 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5))))))) % 0.37/0.66 (assume @p20 (forall @t9 (=> @t28 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t5)))) % 0.37/0.66 (assume @p21 (forall @t15 (=> @t27 (=> @t25 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t1 @t11))))) % 0.37/0.66 (assume @p22 (forall @t31 (=> (and @t2 @t7 @t13 @t26 @t30) (=> (and @t25 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t29 @t11)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t29 @t11))))) % 0.37/0.66 (assume @p23 (forall @t31 (=> (and @t2 @t7 @t13 @t26 @t30 (not (= @t29 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 (tptp.sdtasdt0 @t11 @t29)) (and @t25 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t29)))))) % 0.37/0.66 (assume @p24 (forall @t3 (=> (and @t2 (not @t20)) (=> (tptp.isPrime0 @t1) true)))) % 0.37/0.66 (assume @p25 (forall @t3 (=> @t2 (= (exists @t24 (and @t23 (tptp.isPrime0 @t5))) (and (not (= @t1 tptp.sz10)) (not (= @t1 @t18))))))) % 0.37/0.66 (assume @p26 (forall @t3 (=> @t32 true))) % 0.37/0.66 (assume @p27 (forall @t3 (=> @t32 (forall @t24 (=> @t33 true))))) % 0.37/0.66 (assume @p28 (forall @t3 (=> @t32 (forall @t24 (= (tptp.aSubsetOf0 @t5 @t1) (and @t36 (forall @t21 (=> @t35 @t34)))))))) % 0.37/0.66 (assume @p29 (forall @t3 (=> @t32 (=> (tptp.isFinite0 @t1) true)))) % 0.37/0.66 (assume @p30 (forall @t9 (=> @t44 (forall @t21 (= (= @t11 (tptp.sdtbsmnsldt0 @t1 @t5)) (and @t41 (forall @t40 (= @t39 (and @t30 (or @t38 @t37)))))))))) % 0.37/0.66 (assume @p31 (forall @t9 (=> @t44 (forall @t21 (= (= @t11 @t45) (and @t41 (forall @t40 (= @t39 (and @t30 @t38 @t37))))))))) % 0.37/0.66 (assume @p32 (forall @t3 (=> (and @t32 (forall @t24 (=> @t33 @t42))) (forall @t24 (= (= @t5 @t46) (and @t36 (forall @t21 (= @t35 (and @t13 (exists @t40 (and @t38 (tptp.aElementOf0 @t11 @t29)))))))))))) % 0.37/0.66 (assume @p33 (forall @t3 (=> @t43 (forall @t24 (= (= @t5 @t47) (and @t36 (forall @t21 (= @t35 (and @t13 (not @t34)))))))))) % 0.37/0.66 (assume @p34 (forall @t9 (=> @t28 (forall @t21 (= (= @t11 @t48) (and @t41 (forall @t40 (= @t39 (and @t30 (tptp.sdteqdtlpzmzozddtrp0 @t29 @t1 @t5)))))))))) % 0.37/0.66 (assume @p35 (forall @t3 (=> @t43 (= @t49 (forall @t24 (=> @t33 (exists @t21 (and @t13 @t26 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t5 @t11) @t1))))))))) % 0.37/0.66 (assume @p36 (forall @t3 (=> @t43 (= (tptp.isClosed0 @t1) (tptp.isOpen0 @t47))))) % 0.37/0.66 (assume @p37 (forall @t3 (=> (and @t32 (forall @t24 (=> @t33 (and @t42 @t50)))) (tptp.isOpen0 @t46)))) % 0.37/0.66 (assume @p38 @t53) % 0.37/0.66 (assume @p39 (and @t83 @t82 (tptp.aSet0 tptp.xA) (forall @t3 (=> @t78 @t81)) (tptp.aSubsetOf0 tptp.xA tptp.cS1395) @t83 @t82 (tptp.aSet0 tptp.xB) (forall @t3 (=> @t72 @t81)) (tptp.aSubsetOf0 tptp.xB tptp.cS1395) @t80 @t79 (forall @t3 (=> @t77 (exists @t24 (and @t7 @t22 @t70 @t69 (forall @t21 (=> @t56 (tptp.aElementOf0 @t11 @t75))) (tptp.aSubsetOf0 @t48 @t75))))) @t76 (tptp.isClosed0 tptp.xA) @t74 @t73 (forall @t3 (=> @t71 (exists @t24 (and @t7 @t22 @t70 @t69 (forall @t21 (=> @t56 (tptp.aElementOf0 @t11 @t54))) (tptp.aSubsetOf0 @t48 @t54))))) @t55 (tptp.isClosed0 tptp.xB))) % 0.37/0.66 (assume @p40 (and @t80 @t79 @t83 @t82 (forall @t3 (=> @t77 @t81)) @t94 @t74 @t73 @t83 @t82 (forall @t3 (=> @t71 @t81)) @t93 @t92 @t91 @t90 @t89 @t79 @t73 (forall @t3 (= @t87 (and @t2 @t77 @t71))) (= @t86 @t84))) % 0.37/0.66 (assume @p41 @t113) % 0.37/0.66 (assume @p42 true) % 0.37/0.66 (step @p43 :rule aci_norm :args ((= (or @t119 @t51) @t118))) % 0.37/0.66 (step @p44 :rule refl :args (@t51)) % 0.37/0.66 (step @p45 :rule aci_norm :args ((= (or @t117 (or @t116 (or @t115 @t114))) @t119))) % 0.37/0.66 (step @p46 :rule bool-and-de-morgan :args (@t49 @t50 true)) % 0.37/0.66 (step @p47 :rule refl :args (@t116)) % 0.37/0.66 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t116 (not (and @t49 @t50))))) % 0.37/0.66 (step @p49 :rule bool-and-de-morgan :args (@t42 @t49 (and @t50))) % 0.37/0.66 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.66 (step @p51 :rule refl :args (@t117)) % 0.37/0.66 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t117 (not (and @t42 @t49 @t50))))) % 0.37/0.66 (step @p53 :rule bool-and-de-morgan :args (@t43 @t42 (and @t49 @t50))) % 0.37/0.66 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.66 (step @p55 :rule trans :premises (@p54 @p45)) % 0.37/0.66 (step @p56 :rule nary_cong :premises (@p55 @p44) :args ((or (not @t52) @t51))) % 0.37/0.66 (step @p57 :rule trans :premises (@p56 @p43)) % 0.37/0.66 (step @p58 :rule bool-impl-elim :args (@t52 @t51)) % 0.37/0.66 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.66 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 0.37/0.66 (step @p61 :rule eq_resolve :premises (@p38 @p60)) % 0.37/0.66 (step @p62 :rule refl :args (@t95)) % 0.37/0.66 (step @p63 :rule refl :args (@t96)) % 0.37/0.66 (step @p64 :rule bool-impl-elim :args (@t87 @t137)) % 0.37/0.66 (step @p65 :rule cong :premises (@p64) :args ((forall @t3 (=> @t87 @t137)))) % 0.37/0.66 (step @p66 :rule quant-merge-prenex :args ((= (forall @t24 @t139) @t136))) % 0.37/0.66 (step @p67 :rule quant-unused-vars :args ((= @t140 @t120))) % 0.37/0.66 (step @p68 :rule quant-unused-vars :args ((= @t141 @t123))) % 0.37/0.66 (step @p69 :rule alpha_equiv :args (@t142 (@list @t124 @t126) (@list @t144 @t143))) % 0.37/0.66 (step @p70 :rule quant-unused-vars :args ((= @t145 @t142))) % 0.37/0.66 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.66 (step @p72 :rule alpha_equiv :args (@t146 (@list @t128) @t148)) % 0.37/0.66 (step @p73 :rule quant-unused-vars :args ((= @t149 @t146))) % 0.37/0.66 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.66 (step @p75 :rule quant-unused-vars :args ((= @t150 @t70))) % 0.37/0.66 (step @p76 :rule nary_cong :premises (@p75 @p74 @p71 @p68 @p67) :args (@t151)) % 0.37/0.66 (step @p77 :rule quant-miniscope-and :args ((= @t152 @t151))) % 0.37/0.66 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.66 (step @p79 :rule refl :args (@t133)) % 0.37/0.66 (step @p80 :rule refl :args (@t134)) % 0.37/0.66 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t153)) % 0.37/0.66 (step @p82 :rule quant-miniscope-or :args ((= @t139 @t153))) % 0.37/0.66 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.66 (step @p84 :rule symm :premises (@p83)) % 0.37/0.66 (step @p85 :rule cong :premises (@p84) :args ((forall @t24 (or @t134 @t133 @t170)))) % 0.37/0.66 (step @p86 :rule trans :premises (@p85 @p66)) % 0.37/0.66 (step @p87 :rule aci_norm :args ((= (and @t171 (and @t123 @t120)) @t170))) % 0.37/0.66 (step @p88 :rule bool-or-de-morgan :args (@t122 @t97 false)) % 0.37/0.66 (step @p89 :rule refl :args (@t171)) % 0.37/0.66 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((and @t171 (not @t172)))) % 0.37/0.66 (step @p91 :rule trans :premises (@p90 @p87)) % 0.37/0.66 (step @p92 :rule bool-implies-de-morgan :args (@t171 @t172)) % 0.37/0.66 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.66 (step @p94 :rule nary_cong :premises (@p80 @p79 @p93) :args ((or @t134 @t133 @t174))) % 0.37/0.66 (step @p95 :rule refl :args (@t174)) % 0.37/0.66 (step @p96 :rule bool-double-not-elim :args (@t133)) % 0.37/0.66 (step @p97 :rule nary_cong :premises (@p80 @p96 @p95) :args (@t177)) % 0.37/0.66 (step @p98 :rule aci_norm :args ((= (or @t134 (or @t176 @t174)) @t177))) % 0.37/0.66 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.66 (step @p100 :rule bool-and-de-morgan :args (@t175 @t173 true)) % 0.37/0.66 (step @p101 :rule nary_cong :premises (@p80 @p100) :args ((or @t134 (not (and @t175 @t173))))) % 0.37/0.66 (step @p102 :rule bool-and-de-morgan :args (@t7 @t175 (and @t173))) % 0.37/0.66 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.66 (step @p104 :rule trans :premises (@p103 @p99)) % 0.37/0.66 (step @p105 :rule trans :premises (@p104 @p94)) % 0.37/0.66 (step @p106 :rule cong :premises (@p105) :args (@t179)) % 0.37/0.66 (step @p107 :rule trans :premises (@p106 @p86)) % 0.37/0.66 (step @p108 :rule cong :premises (@p107) :args (@t180)) % 0.37/0.66 (step @p109 :rule exists-elim :args ((= (exists @t24 @t178) @t180))) % 0.37/0.66 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.66 (step @p111 :rule refl :args (@t97)) % 0.37/0.66 (step @p112 :rule bool-impl-elim :args (@t56 @t98)) % 0.37/0.66 (step @p113 :rule cong :premises (@p112) :args (@t99)) % 0.37/0.66 (step @p114 :rule nary_cong :premises (@p113 @p111) :args (@t100)) % 0.37/0.66 (step @p115 :rule aci_norm :args ((= (and @t70 (and @t169 @t162)) @t171))) % 0.37/0.66 (step @p116 :rule refl :args (@t154)) % 0.37/0.66 (step @p117 :rule refl :args (@t155)) % 0.37/0.66 (step @p118 :rule refl :args (@t157)) % 0.37/0.66 (step @p119 :rule eq-symm :args (@t158 @t156)) % 0.37/0.66 (step @p120 :rule cong :premises (@p119) :args (@t181)) % 0.37/0.66 (step @p121 :rule refl :args (@t159)) % 0.37/0.66 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t182)) % 0.37/0.66 (step @p123 :rule nary_cong :premises (@p122 @p118 @p117) :args (@t183)) % 0.37/0.66 (step @p124 :rule refl :args (@t160)) % 0.37/0.66 (step @p125 :rule nary_cong :premises (@p124 @p123 @p116) :args (@t184)) % 0.37/0.66 (step @p126 :rule cong :premises (@p125) :args (@t185)) % 0.37/0.66 (step @p127 :rule quant-merge-prenex :args ((= (forall @t188 @t187) @t185))) % 0.37/0.66 (step @p128 :rule refl :args (@t154)) % 0.37/0.66 (step @p129 :rule quant-unused-vars :args ((= @t189 @t155))) % 0.37/0.66 (step @p130 :rule quant-unused-vars :args ((= @t190 @t157))) % 0.37/0.66 (step @p131 :rule alpha_equiv :args (@t191 (@list @t143) (@list @t29))) % 0.37/0.66 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t192)) % 0.37/0.66 (step @p133 :rule quant-miniscope-and :args ((= @t193 @t192))) % 0.37/0.66 (step @p134 :rule trans :premises (@p133 @p132)) % 0.37/0.66 (step @p135 :rule refl :args (@t160)) % 0.37/0.66 (step @p136 :rule nary_cong :premises (@p135 @p134 @p128) :args (@t194)) % 0.37/0.66 (step @p137 :rule quant-miniscope-or :args ((= @t187 @t194))) % 0.37/0.66 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.66 (step @p139 :rule symm :premises (@p138)) % 0.37/0.66 (step @p140 :rule cong :premises (@p139) :args ((forall @t188 (or @t160 (and (forall @t40 (or @t130 (not (= @t60 @t156)))) @t157 @t155) @t154)))) % 0.37/0.66 (step @p141 :rule trans :premises (@p140 @p127)) % 0.37/0.66 (step @p142 :rule trans :premises (@p141 @p126)) % 0.37/0.66 (step @p143 :rule eq-symm :args (@t156 @t60)) % 0.37/0.66 (step @p144 :rule cong :premises (@p143) :args (@t195)) % 0.37/0.66 (step @p145 :rule refl :args (@t130)) % 0.37/0.66 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t196)) % 0.37/0.66 (step @p147 :rule cong :premises (@p146) :args (@t197)) % 0.37/0.66 (step @p148 :rule nary_cong :premises (@p147 @p118 @p117) :args (@t198)) % 0.37/0.66 (step @p149 :rule nary_cong :premises (@p124 @p148 @p116) :args (@t199)) % 0.37/0.66 (step @p150 :rule cong :premises (@p149) :args (@t200)) % 0.37/0.66 (step @p151 :rule trans :premises (@p150 @p142)) % 0.37/0.66 (step @p152 :rule refl :args (@t163)) % 0.37/0.67 (step @p153 :rule refl :args (@t165)) % 0.37/0.67 (step @p154 :rule eq-symm :args (@t164 @t60)) % 0.37/0.67 (step @p155 :rule cong :premises (@p154) :args (@t201)) % 0.37/0.67 (step @p156 :rule nary_cong :premises (@p145 @p155) :args (@t202)) % 0.37/0.67 (step @p157 :rule cong :premises (@p156) :args (@t203)) % 0.37/0.67 (step @p158 :rule cong :premises (@p157) :args (@t204)) % 0.37/0.67 (step @p159 :rule refl :args (@t166)) % 0.37/0.67 (step @p160 :rule nary_cong :premises (@p159 @p158 @p153 @p152) :args (@t205)) % 0.37/0.67 (step @p161 :rule refl :args (@t167)) % 0.37/0.67 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t206)) % 0.37/0.67 (step @p163 :rule cong :premises (@p162) :args (@t207)) % 0.37/0.67 (step @p164 :rule nary_cong :premises (@p163 @p151) :args ((and @t207 @t200))) % 0.37/0.67 (step @p165 :rule alpha_equiv :args (@t215 @t216 (@list @t144))) % 0.37/0.67 (step @p166 :rule alpha_equiv :args (@t220 @t216 @t148)) % 0.37/0.67 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t221)) % 0.37/0.67 (step @p168 :rule quant-miniscope-and :args ((= (forall @t21 (and @t219 @t214)) @t221))) % 0.37/0.67 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.67 (step @p170 :rule trans :premises (@p169 @p164)) % 0.37/0.67 (step @p171 :rule aci_norm :args ((= (or (or @t213 @t212) @t56) @t214))) % 0.37/0.67 (step @p172 :rule refl :args (@t56)) % 0.37/0.67 (step @p173 :rule refl :args (@t208)) % 0.37/0.67 (step @p174 :rule refl :args (@t209)) % 0.37/0.67 (step @p175 :rule bool-double-not-elim :args (@t211)) % 0.37/0.67 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t223)) % 0.37/0.67 (step @p177 :rule aci_norm :args ((= (and @t222 (and @t209 @t208)) @t223))) % 0.37/0.67 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.67 (step @p179 :rule bool-or-de-morgan :args (@t59 @t57 false)) % 0.37/0.67 (step @p180 :rule refl :args (@t222)) % 0.37/0.67 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((and @t222 (not (or @t59 @t57))))) % 0.37/0.67 (step @p182 :rule bool-or-de-morgan :args (@t217 @t59 (or @t57))) % 0.37/0.67 (step @p183 :rule trans :premises (@p182 @p181)) % 0.37/0.67 (step @p184 :rule trans :premises (@p183 @p178)) % 0.37/0.67 (step @p185 :rule refl :args (@t213)) % 0.37/0.67 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t213 (not @t224)))) % 0.37/0.67 (step @p187 :rule bool-and-de-morgan :args (@t13 @t224 true)) % 0.37/0.67 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.67 (step @p189 :rule nary_cong :premises (@p188 @p172) :args ((or (not @t225) @t56))) % 0.37/0.67 (step @p190 :rule trans :premises (@p189 @p171)) % 0.37/0.67 (step @p191 :rule bool-impl-elim :args (@t225 @t56)) % 0.37/0.67 (step @p192 :rule trans :premises (@p191 @p190)) % 0.37/0.67 (step @p193 :rule bool-impl-elim :args (@t56 @t218)) % 0.37/0.67 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t226)) % 0.37/0.67 (step @p195 :rule cong :premises (@p194) :args ((forall @t21 @t226))) % 0.37/0.67 (step @p196 :rule trans :premises (@p195 @p170)) % 0.37/0.67 (step @p197 :rule refl :args (@t56)) % 0.37/0.67 (step @p198 :rule refl :args (@t57)) % 0.37/0.67 (step @p199 :rule refl :args (@t59)) % 0.37/0.67 (step @p200 :rule bool-and-de-morgan :args (@t30 @t210 true)) % 0.37/0.67 (step @p201 :rule cong :premises (@p200) :args (@t228)) % 0.37/0.67 (step @p202 :rule cong :premises (@p201) :args (@t229)) % 0.37/0.67 (step @p203 :rule exists-elim :args ((= (exists @t40 @t227) @t229))) % 0.37/0.67 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.67 (step @p205 :rule eq-symm :args (@t60 @t58)) % 0.37/0.67 (step @p206 :rule refl :args (@t30)) % 0.37/0.67 (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t61)) % 0.37/0.67 (step @p208 :rule cong :premises (@p207) :args (@t62)) % 0.37/0.67 (step @p209 :rule trans :premises (@p208 @p204)) % 0.37/0.67 (step @p210 :rule nary_cong :premises (@p209 @p199 @p198) :args (@t63)) % 0.37/0.67 (step @p211 :rule refl :args (@t13)) % 0.37/0.67 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t64)) % 0.37/0.67 (step @p213 :rule cong :premises (@p212 @p197) :args (@t65)) % 0.37/0.67 (step @p214 :rule nary_cong :premises (@p211 @p209 @p199 @p198) :args (@t66)) % 0.37/0.67 (step @p215 :rule cong :premises (@p197 @p214) :args (@t67)) % 0.37/0.67 (step @p216 :rule nary_cong :premises (@p215 @p213) :args (@t68)) % 0.37/0.67 (step @p217 :rule cong :premises (@p216) :args (@t69)) % 0.37/0.67 (step @p218 :rule trans :premises (@p217 @p196)) % 0.37/0.67 (step @p219 :rule refl :args (@t70)) % 0.37/0.67 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t101)) % 0.37/0.67 (step @p221 :rule trans :premises (@p220 @p115)) % 0.37/0.67 (step @p222 :rule cong :premises (@p221 @p114) :args (@t102)) % 0.37/0.67 (step @p223 :rule eq-symm :args (@t5 tptp.sz00)) % 0.37/0.67 (step @p224 :rule cong :premises (@p223) :args (@t22)) % 0.37/0.67 (step @p225 :rule refl :args (@t7)) % 0.37/0.67 (step @p226 :rule nary_cong :premises (@p225 @p224 @p222) :args (@t103)) % 0.37/0.67 (step @p227 :rule cong :premises (@p226) :args (@t104)) % 0.37/0.67 (step @p228 :rule trans :premises (@p227 @p110)) % 0.37/0.67 (step @p229 :rule refl :args (@t87)) % 0.37/0.67 (step @p230 :rule cong :premises (@p229 @p228) :args (@t105)) % 0.37/0.67 (step @p231 :rule cong :premises (@p230) :args (@t106)) % 0.37/0.67 (step @p232 :rule trans :premises (@p231 @p65)) % 0.37/0.67 (step @p233 :rule nary_cong :premises (@p232 @p63) :args (@t107)) % 0.37/0.67 (step @p234 :rule refl :args (@t108)) % 0.37/0.67 (step @p235 :rule cong :premises (@p234 @p233) :args (@t109)) % 0.37/0.67 (step @p236 :rule nary_cong :premises (@p235 @p62) :args (@t110)) % 0.37/0.67 (step @p237 :rule refl :args (@t111)) % 0.37/0.67 (step @p238 :rule cong :premises (@p237 @p236) :args (@t112)) % 0.37/0.67 (step @p239 :rule cong :premises (@p238) :args (@t113)) % 0.37/0.67 (step @p240 :rule eq_resolve :premises (@p41 @p239)) % 0.37/0.67 (step @p241 :rule not_implies_elim2 :premises (@p240)) % 0.37/0.67 (step @p242 :rule not_or_elim :premises (@p241) :args (0)) % 0.37/0.67 (step @p243 :rule not_implies_elim2 :premises (@p242)) % 0.37/0.67 (step @p244 :rule not_or_elim :premises (@p243) :args (1)) % 0.37/0.67 (step @p245 :rule false_intro :premises (@p244)) % 0.37/0.67 (step @p246 :rule and_elim :premises (@p40) :args (19)) % 0.37/0.67 (step @p247 :rule symm :premises (@p246)) % 0.37/0.67 (step @p248 :rule cong :premises (@p247) :args (@t230)) % 0.37/0.67 (step @p249 :rule trans :premises (@p248 @p245)) % 0.37/0.67 (step @p250 :rule false_elim :premises (@p249)) % 0.37/0.67 (step @p251 :rule and_elim :premises (@p40) :args (11)) % 0.37/0.67 (step @p252 :rule and_elim :premises (@p40) :args (5)) % 0.37/0.67 (step @p253 :rule and_elim :premises (@p39) :args (18)) % 0.37/0.67 (step @p254 :rule and_elim :premises (@p39) :args (13)) % 0.37/0.67 (step @p255 :rule cnf_or_pos :args (@t235)) % 0.37/0.67 (step @p256 :rule reordering :premises (@p255) :args ((or @t232 @t231 @t234 @t233 @t230 @t236))) % 0.37/0.67 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p253 @p252 @p251 @p250) :args (@t236 (@list false false false false true) (@list @t76 @t55 @t94 @t93 @t230))) % 0.37/0.67 (assume-push @p264 @t237) % 0.37/0.67 (step @p259 :rule instantiate :premises (@p61) :args ((@list @t75 @t54))) % 0.37/0.67 (step-pop @p265 :rule scope :premises (@p259)) % 0.37/0.67 (step @p260 :rule process_scope :premises (@p265) :args (@t235)) % 0.37/0.67 (step @p262 :rule implies_elim :premises (@p260)) % 0.37/0.67 (step @p263 false :rule chain_m_resolution :premises (@p262 @p257 @p61) :args (false (@list true false) (@list @t235 @t237))) % 0.37/0.67 ) % 0.37/0.67 % SZS output end Proof % 0.37/0.67 % cvc5 exiting %------------------------------------------------------------------------------