%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM443+4 : 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 : n013.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 3.10s 3.30s % Output : Proof 3.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM443+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n013.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 11:19:30 EDT 2026 % 0.16/0.36 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 3.10/3.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.10/3.30 % SZS status Theorem % 3.10/3.30 % SZS output start Proof % 3.10/3.30 ( % 3.10/3.30 (declare-sort $$unsorted 0) % 3.10/3.30 (declare-const tptp.xb $$unsorted) % 3.10/3.30 (declare-const tptp.xa $$unsorted) % 3.10/3.30 (declare-const tptp.xq $$unsorted) % 3.10/3.30 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.cS1395 $$unsorted) % 3.10/3.30 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.sz10 $$unsorted) % 3.10/3.30 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.sz00 $$unsorted) % 3.10/3.30 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.10/3.30 (declare-const tptp.xc $$unsorted) % 3.10/3.30 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 3.10/3.30 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 3.10/3.30 (define @t1 () (@var "W0" $$unsorted)) % 3.10/3.30 (define @t2 () (tptp.aInteger0 @t1)) % 3.10/3.30 (define @t3 () (@list @t1)) % 3.10/3.30 (define @t4 () (tptp.smndt0 @t1)) % 3.10/3.30 (define @t5 () (@var "W1" $$unsorted)) % 3.10/3.30 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 3.10/3.30 (define @t7 () (tptp.aInteger0 @t5)) % 3.10/3.30 (define @t8 () (and @t2 @t7)) % 3.10/3.30 (define @t9 () (@list @t1 @t5)) % 3.10/3.30 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 3.10/3.30 (define @t11 () (@var "W2" $$unsorted)) % 3.10/3.30 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 3.10/3.30 (define @t13 () (tptp.aInteger0 @t11)) % 3.10/3.30 (define @t14 () (and @t2 @t7 @t13)) % 3.10/3.30 (define @t15 () (@list @t1 @t5 @t11)) % 3.10/3.30 (define @t16 () (tptp.sdtasdt0 @t5 @t11)) % 3.10/3.30 (define @t17 () (tptp.sdtasdt0 @t1 @t11)) % 3.10/3.30 (define @t18 () (tptp.smndt0 tptp.sz10)) % 3.10/3.30 (define @t19 () (= @t5 tptp.sz00)) % 3.10/3.30 (define @t20 () (= @t1 tptp.sz00)) % 3.10/3.30 (define @t21 () (@list @t11)) % 3.10/3.30 (define @t22 () (not @t19)) % 3.10/3.30 (define @t23 () (tptp.aDivisorOf0 @t5 @t1)) % 3.10/3.30 (define @t24 () (@list @t5)) % 3.10/3.30 (define @t25 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11)) % 3.10/3.30 (define @t26 () (not (= @t11 tptp.sz00))) % 3.10/3.30 (define @t27 () (and @t2 @t7 @t13 @t26)) % 3.10/3.30 (define @t28 () (and @t2 @t7 @t22)) % 3.10/3.30 (define @t29 () (tptp.sdteqdtlpzmzozddtrp0 @t5 @t1 @t11)) % 3.10/3.30 (define @t30 () (=> @t25 @t29)) % 3.10/3.30 (define @t31 () (=> @t27 @t30)) % 3.10/3.30 (define @t32 () (forall @t15 @t31)) % 3.10/3.30 (define @t33 () (@var "W3" $$unsorted)) % 3.10/3.30 (define @t34 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t33 @t11)) % 3.10/3.30 (define @t35 () (tptp.sdteqdtlpzmzozddtrp0 @t5 @t33 @t11)) % 3.10/3.30 (define @t36 () (and @t25 @t35)) % 3.10/3.30 (define @t37 () (=> @t36 @t34)) % 3.10/3.30 (define @t38 () (tptp.aInteger0 @t33)) % 3.10/3.30 (define @t39 () (and @t2 @t7 @t13 @t26 @t38)) % 3.10/3.30 (define @t40 () (=> @t39 @t37)) % 3.10/3.30 (define @t41 () (@list @t1 @t5 @t11 @t33)) % 3.10/3.30 (define @t42 () (forall @t41 @t40)) % 3.10/3.30 (define @t43 () (tptp.aSet0 @t1)) % 3.10/3.30 (define @t44 () (tptp.aElementOf0 @t5 @t1)) % 3.10/3.30 (define @t45 () (tptp.aElementOf0 @t11 @t1)) % 3.10/3.30 (define @t46 () (tptp.aElementOf0 @t11 @t5)) % 3.10/3.30 (define @t47 () (tptp.aSet0 @t5)) % 3.10/3.30 (define @t48 () (tptp.isFinite0 @t1)) % 3.10/3.30 (define @t49 () (tptp.aElementOf0 @t33 @t5)) % 3.10/3.30 (define @t50 () (tptp.aElementOf0 @t33 @t1)) % 3.10/3.30 (define @t51 () (tptp.aElementOf0 @t33 @t11)) % 3.10/3.30 (define @t52 () (@list @t33)) % 3.10/3.30 (define @t53 () (tptp.aSet0 @t11)) % 3.10/3.30 (define @t54 () (tptp.sdtbsmnsldt0 @t1 @t5)) % 3.10/3.30 (define @t55 () (tptp.aSubsetOf0 @t5 tptp.cS1395)) % 3.10/3.30 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 3.10/3.30 (define @t57 () (and @t56 @t55)) % 3.10/3.30 (define @t58 () (tptp.sdtslmnbsdt0 @t1 @t5)) % 3.10/3.30 (define @t59 () (tptp.sbsmnsldt0 @t1)) % 3.10/3.30 (define @t60 () (tptp.stldt0 @t1)) % 3.10/3.30 (define @t61 () (tptp.isOpen0 @t1)) % 3.10/3.30 (define @t62 () (tptp.isClosed0 @t1)) % 3.10/3.30 (define @t63 () (tptp.isOpen0 @t5)) % 3.10/3.30 (define @t64 () (tptp.isClosed0 @t5)) % 3.10/3.30 (define @t65 () (tptp.aInteger0 tptp.xq)) % 3.10/3.30 (define @t66 () (tptp.aInteger0 tptp.xa)) % 3.10/3.30 (define @t67 () (tptp.aInteger0 tptp.xc)) % 3.10/3.30 (define @t68 () (tptp.aInteger0 tptp.xb)) % 3.10/3.30 (define @t69 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.xa tptp.xq)) % 3.10/3.30 (define @t70 () (tptp.stldt0 @t69)) % 3.10/3.30 (define @t71 () (tptp.aElementOf0 tptp.xc @t69)) % 3.10/3.30 (define @t72 () (not @t71)) % 3.10/3.30 (define @t73 () (or @t72 (tptp.aElementOf0 tptp.xc @t70))) % 3.10/3.30 (define @t74 () (tptp.aElementOf0 @t1 @t69)) % 3.10/3.30 (define @t75 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.xa tptp.xq)) % 3.10/3.30 (define @t76 () (tptp.smndt0 tptp.xa)) % 3.10/3.30 (define @t77 () (tptp.sdtpldt0 @t1 @t76)) % 3.10/3.30 (define @t78 () (tptp.aDivisorOf0 tptp.xq @t77)) % 3.10/3.30 (define @t79 () (tptp.sdtasdt0 tptp.xq @t5)) % 3.10/3.30 (define @t80 () (and @t7 (= @t79 @t77))) % 3.10/3.30 (define @t81 () (exists @t24 @t80)) % 3.10/3.30 (define @t82 () (or @t81 @t78 @t75)) % 3.10/3.30 (define @t83 () (and @t2 @t82)) % 3.10/3.30 (define @t84 () (=> @t83 @t74)) % 3.10/3.30 (define @t85 () (and @t2 @t81 @t78 @t75)) % 3.10/3.30 (define @t86 () (=> @t74 @t85)) % 3.10/3.30 (define @t87 () (and @t86 @t84)) % 3.10/3.30 (define @t88 () (forall @t3 @t87)) % 3.10/3.30 (define @t89 () (tptp.aSet0 @t69)) % 3.10/3.30 (define @t90 () (and @t89 @t88)) % 3.10/3.30 (define @t91 () (=> @t90 @t73)) % 3.10/3.30 (define @t92 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xc tptp.xb tptp.xq)) % 3.10/3.30 (define @t93 () (tptp.sdtpldt0 tptp.xc (tptp.smndt0 tptp.xb))) % 3.10/3.30 (define @t94 () (tptp.aDivisorOf0 tptp.xq @t93)) % 3.10/3.30 (define @t95 () (= (tptp.sdtasdt0 tptp.xq @t1) @t93)) % 3.10/3.30 (define @t96 () (and @t2 @t95)) % 3.10/3.30 (define @t97 () (exists @t3 @t96)) % 3.10/3.30 (define @t98 () (tptp.aElementOf0 tptp.xb @t70)) % 3.10/3.30 (define @t99 () (tptp.aElementOf0 tptp.xb @t69)) % 3.10/3.30 (define @t100 () (not @t99)) % 3.10/3.30 (define @t101 () (and @t89 @t88 @t100 @t98 @t97 @t94 @t92)) % 3.10/3.30 (define @t102 () (=> @t101 @t91)) % 3.10/3.30 (define @t103 () (not @t102)) % 3.10/3.30 (define @t104 () (not @t35)) % 3.10/3.30 (define @t105 () (not @t25)) % 3.10/3.30 (define @t106 () (not @t38)) % 3.10/3.30 (define @t107 () (= tptp.sz00 @t11)) % 3.10/3.30 (define @t108 () (not @t13)) % 3.10/3.30 (define @t109 () (not @t7)) % 3.10/3.30 (define @t110 () (not @t2)) % 3.10/3.30 (define @t111 () (or @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t34)) % 3.10/3.30 (define @t112 () (or @t105 @t104 @t34)) % 3.10/3.30 (define @t113 () (not @t107)) % 3.10/3.30 (define @t114 () (not @t113)) % 3.10/3.30 (define @t115 () (or @t110 @t109 @t108 @t114 @t106)) % 3.10/3.30 (define @t116 () (and @t2 @t7 @t13 @t113 @t38)) % 3.10/3.30 (define @t117 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 3.10/3.30 (define @t118 () (tptp.aElementOf0 @t117 @t69)) % 3.10/3.30 (define @t119 () (not (tptp.sdteqdtlpzmzozddtrp0 @t117 tptp.xa tptp.xq))) % 3.10/3.30 (define @t120 () (tptp.sdtpldt0 @t117 @t76)) % 3.10/3.30 (define @t121 () (not (tptp.aDivisorOf0 tptp.xq @t120))) % 3.10/3.30 (define @t122 () (@var "BOUND_VARIABLE_8271" $$unsorted)) % 3.10/3.30 (define @t123 () (tptp.sdtasdt0 tptp.xq @t122)) % 3.10/3.30 (define @t124 () (not (tptp.aInteger0 @t122))) % 3.10/3.30 (define @t125 () (not (tptp.aInteger0 @t117))) % 3.10/3.30 (define @t126 () (@list @t117 @t122)) % 3.10/3.30 (define @t127 () (forall @t126 (or @t125 (and (or @t124 (not (= @t120 @t123))) @t121 @t119) @t118))) % 3.10/3.30 (define @t128 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 3.10/3.30 (define @t129 () (tptp.sdteqdtlpzmzozddtrp0 @t128 tptp.xa tptp.xq)) % 3.10/3.30 (define @t130 () (tptp.sdtpldt0 @t128 @t76)) % 3.10/3.30 (define @t131 () (tptp.aDivisorOf0 tptp.xq @t130)) % 3.10/3.30 (define @t132 () (tptp.aInteger0 @t128)) % 3.10/3.30 (define @t133 () (not (tptp.aElementOf0 @t128 @t69))) % 3.10/3.30 (define @t134 () (@list @t128)) % 3.10/3.30 (define @t135 () (forall @t134 (or @t133 (and @t132 (not (forall @t24 (or @t109 (not (= @t79 @t130))))) @t131 @t129)))) % 3.10/3.30 (define @t136 () (and @t135 @t127)) % 3.10/3.30 (define @t137 () (not (= @t123 @t120))) % 3.10/3.30 (define @t138 () (or @t124 @t137)) % 3.10/3.30 (define @t139 () (and @t138 @t121 @t119)) % 3.10/3.30 (define @t140 () (or @t125 @t139 @t118)) % 3.10/3.30 (define @t141 () (forall @t126 @t140)) % 3.10/3.30 (define @t142 () (@list @t122)) % 3.10/3.30 (define @t143 () (forall @t142 @t140)) % 3.10/3.30 (define @t144 () (@list @t117)) % 3.10/3.30 (define @t145 () (forall @t142 @t119)) % 3.10/3.30 (define @t146 () (forall @t142 @t121)) % 3.10/3.30 (define @t147 () (forall @t142 @t138)) % 3.10/3.30 (define @t148 () (and @t147 @t146 @t145)) % 3.10/3.30 (define @t149 () (forall @t142 @t139)) % 3.10/3.30 (define @t150 () (or @t125 @t149 @t118)) % 3.10/3.30 (define @t151 () (not (= @t120 @t79))) % 3.10/3.30 (define @t152 () (or @t109 @t151)) % 3.10/3.30 (define @t153 () (forall @t24 @t152)) % 3.10/3.30 (define @t154 () (and @t153 @t121 @t119)) % 3.10/3.30 (define @t155 () (or @t125 @t154 @t118)) % 3.10/3.30 (define @t156 () (forall @t144 @t155)) % 3.10/3.30 (define @t157 () (not (= @t130 @t79))) % 3.10/3.30 (define @t158 () (or @t109 @t157)) % 3.10/3.30 (define @t159 () (forall @t24 @t158)) % 3.10/3.30 (define @t160 () (not @t159)) % 3.10/3.30 (define @t161 () (and @t132 @t160 @t131 @t129)) % 3.10/3.30 (define @t162 () (or @t133 @t161)) % 3.10/3.30 (define @t163 () (forall @t134 @t162)) % 3.10/3.30 (define @t164 () (not @t75)) % 3.10/3.30 (define @t165 () (not @t78)) % 3.10/3.30 (define @t166 () (= @t77 @t79)) % 3.10/3.30 (define @t167 () (forall @t24 (or @t109 (not @t166)))) % 3.10/3.30 (define @t168 () (and @t167 @t165 @t164)) % 3.10/3.30 (define @t169 () (or @t110 @t168 @t74)) % 3.10/3.30 (define @t170 () (forall @t3 @t169)) % 3.10/3.30 (define @t171 () (@list @t1)) % 3.10/3.30 (define @t172 () (not @t167)) % 3.10/3.30 (define @t173 () (and @t2 @t172 @t78 @t75)) % 3.10/3.30 (define @t174 () (or (not @t74) @t173)) % 3.10/3.30 (define @t175 () (forall @t3 @t174)) % 3.10/3.30 (define @t176 () (and @t175 @t170)) % 3.10/3.30 (define @t177 () (not @t172)) % 3.10/3.30 (define @t178 () (and @t177 @t165 @t164)) % 3.10/3.30 (define @t179 () (or @t172 @t78 @t75)) % 3.10/3.30 (define @t180 () (and @t2 @t179)) % 3.10/3.30 (define @t181 () (and (=> @t74 @t173) (=> @t180 @t74))) % 3.10/3.30 (define @t182 () (and @t7 @t166)) % 3.10/3.30 (define @t183 () (forall @t24 (not @t182))) % 3.10/3.30 (define @t184 () (not @t183)) % 3.10/3.30 (define @t185 () (not (forall @t3 (or @t110 (not @t95))))) % 3.10/3.30 (define @t186 () (forall @t3 (not @t96))) % 3.10/3.30 (define @t187 () (not @t186)) % 3.10/3.30 (define @t188 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xc tptp.xa tptp.xq)) % 3.10/3.30 (define @t189 () (tptp.sdtpldt0 tptp.xc @t76)) % 3.10/3.30 (define @t190 () (and @t67 (not (forall @t24 (or @t109 (not (= @t79 @t189))))) (tptp.aDivisorOf0 tptp.xq @t189) @t188)) % 3.10/3.30 (define @t191 () (or @t72 @t190)) % 3.10/3.30 (define @t192 () (@list false)) % 3.10/3.30 (define @t193 () (or @t110 @t109 @t108 @t114)) % 3.10/3.30 (define @t194 () (and @t2 @t7 @t13 @t113)) % 3.10/3.30 (define @t195 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq)) % 3.10/3.30 (define @t196 () (not @t92)) % 3.10/3.30 (define @t197 () (= tptp.sz00 tptp.xq)) % 3.10/3.30 (define @t198 () (not @t65)) % 3.10/3.30 (define @t199 () (not @t68)) % 3.10/3.30 (define @t200 () (not @t67)) % 3.10/3.30 (define @t201 () (or @t200 @t199 @t198 @t197 @t196 @t195)) % 3.10/3.30 (define @t202 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xa tptp.xq)) % 3.10/3.30 (define @t203 () (not @t202)) % 3.10/3.30 (define @t204 () (tptp.sdtpldt0 tptp.xb @t76)) % 3.10/3.30 (define @t205 () (and (or @t199 (not (= @t204 (tptp.sdtasdt0 tptp.xq tptp.xb)))) (not (tptp.aDivisorOf0 tptp.xq @t204)) @t203)) % 3.10/3.30 (define @t206 () (or @t199 @t205 @t99)) % 3.10/3.30 (define @t207 () (not @t188)) % 3.10/3.30 (define @t208 () (not @t195)) % 3.10/3.30 (define @t209 () (not @t66)) % 3.10/3.30 (define @t210 () (or @t199 @t200 @t198 @t197 @t209 @t208 @t207 @t202)) % 3.10/3.30 (define @t211 () (not @t210)) % 3.10/3.30 (define @t212 () (forall @t41 @t111)) % 3.10/3.30 (assume @p1 (forall @t3 (=> @t2 true))) % 3.10/3.30 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 3.10/3.30 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 3.10/3.30 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t4)))) % 3.10/3.30 (assume @p5 (forall @t9 (=> @t8 (tptp.aInteger0 @t6)))) % 3.10/3.30 (assume @p6 (forall @t9 (=> @t8 (tptp.aInteger0 @t10)))) % 3.10/3.30 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t1 @t12) (tptp.sdtpldt0 @t6 @t11))))) % 3.10/3.30 (assume @p8 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 3.10/3.30 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 3.10/3.30 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 3.10/3.30 (assume @p11 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtasdt0 @t10 @t11))))) % 3.10/3.30 (assume @p12 (forall @t9 (=> @t8 (= @t10 (tptp.sdtasdt0 @t5 @t1))))) % 3.10/3.30 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 3.10/3.30 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t17)) (= (tptp.sdtasdt0 @t6 @t11) (tptp.sdtpldt0 @t17 @t16)))))) % 3.10/3.30 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 3.10/3.30 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t18)))))) % 3.10/3.30 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t20 @t19))))) % 3.10/3.30 (assume @p18 (forall @t3 (=> @t2 (forall @t24 (= @t23 (and @t7 @t22 (exists @t21 (and @t13 (= @t16 @t1))))))))) % 3.10/3.30 (assume @p19 (forall @t15 (=> @t27 (= @t25 (tptp.aDivisorOf0 @t11 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5))))))) % 3.10/3.30 (assume @p20 (forall @t9 (=> @t28 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t5)))) % 3.10/3.30 (assume @p21 @t32) % 3.10/3.30 (assume @p22 @t42) % 3.10/3.30 (assume @p23 (forall @t41 (=> (and @t2 @t7 @t13 @t26 @t38 (not (= @t33 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 (tptp.sdtasdt0 @t11 @t33)) (and @t25 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t33)))))) % 3.10/3.30 (assume @p24 (forall @t3 (=> (and @t2 (not @t20)) (=> (tptp.isPrime0 @t1) true)))) % 3.10/3.30 (assume @p25 (forall @t3 (=> @t2 (= (exists @t24 (and @t23 (tptp.isPrime0 @t5))) (and (not (= @t1 tptp.sz10)) (not (= @t1 @t18))))))) % 3.10/3.30 (assume @p26 (forall @t3 (=> @t43 true))) % 3.10/3.30 (assume @p27 (forall @t3 (=> @t43 (forall @t24 (=> @t44 true))))) % 3.10/3.30 (assume @p28 (forall @t3 (=> @t43 (forall @t24 (= (tptp.aSubsetOf0 @t5 @t1) (and @t47 (forall @t21 (=> @t46 @t45)))))))) % 3.10/3.30 (assume @p29 (forall @t3 (=> @t43 (=> @t48 true)))) % 3.10/3.30 (assume @p30 (forall @t9 (=> @t57 (forall @t21 (= (= @t11 @t54) (and @t53 (forall @t52 (= @t51 (and @t38 (or @t50 @t49)))))))))) % 3.10/3.30 (assume @p31 (forall @t9 (=> @t57 (forall @t21 (= (= @t11 @t58) (and @t53 (forall @t52 (= @t51 (and @t38 @t50 @t49))))))))) % 3.10/3.30 (assume @p32 (forall @t3 (=> (and @t43 (forall @t24 (=> @t44 @t55))) (forall @t24 (= (= @t5 @t59) (and @t47 (forall @t21 (= @t46 (and @t13 (exists @t52 (and @t50 (tptp.aElementOf0 @t11 @t33)))))))))))) % 3.10/3.30 (assume @p33 (forall @t3 (=> @t56 (forall @t24 (= (= @t5 @t60) (and @t47 (forall @t21 (= @t46 (and @t13 (not @t45)))))))))) % 3.10/3.30 (assume @p34 (forall @t9 (=> @t28 (forall @t21 (= (= @t11 (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t5)) (and @t53 (forall @t52 (= @t51 (and @t38 (tptp.sdteqdtlpzmzozddtrp0 @t33 @t1 @t5)))))))))) % 3.10/3.30 (assume @p35 (forall @t3 (=> @t56 (= @t61 (forall @t24 (=> @t44 (exists @t21 (and @t13 @t26 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t5 @t11) @t1))))))))) % 3.10/3.30 (assume @p36 (forall @t3 (=> @t56 (= @t62 (tptp.isOpen0 @t60))))) % 3.10/3.30 (assume @p37 (forall @t3 (=> (and @t43 (forall @t24 (=> @t44 (and @t55 @t63)))) (tptp.isOpen0 @t59)))) % 3.10/3.30 (assume @p38 (forall @t9 (=> (and @t56 @t55 @t61 @t63) (tptp.isOpen0 @t58)))) % 3.10/3.30 (assume @p39 (forall @t9 (=> (and @t56 @t55 @t62 @t64) (tptp.isClosed0 @t54)))) % 3.10/3.30 (assume @p40 (forall @t3 (=> (and @t43 @t48 (forall @t24 (=> @t44 (and @t55 @t64)))) (tptp.isClosed0 @t59)))) % 3.10/3.30 (assume @p41 (and @t66 @t65 (not (= tptp.xq tptp.sz00)))) % 3.10/3.30 (assume @p42 (and @t68 @t67)) % 3.10/3.30 (assume @p43 @t103) % 3.10/3.30 (assume @p44 true) % 3.10/3.30 (step @p45 :rule aci_norm :args ((= (or (or @t110 @t109 @t108 @t107 @t106) @t112) @t111))) % 3.10/3.30 (step @p46 :rule aci_norm :args ((= (or (or @t105 @t104) @t34) @t112))) % 3.10/3.30 (step @p47 :rule refl :args (@t34)) % 3.10/3.30 (step @p48 :rule bool-and-de-morgan :args (@t25 @t35 true)) % 3.10/3.30 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t36) @t34))) % 3.10/3.30 (step @p50 :rule trans :premises (@p49 @p46)) % 3.10/3.30 (step @p51 :rule bool-impl-elim :args (@t36 @t34)) % 3.10/3.30 (step @p52 :rule trans :premises (@p51 @p50)) % 3.10/3.30 (step @p53 :rule refl :args (@t106)) % 3.10/3.30 (step @p54 :rule bool-double-not-elim :args (@t107)) % 3.10/3.30 (step @p55 :rule refl :args (@t108)) % 3.10/3.30 (step @p56 :rule refl :args (@t109)) % 3.10/3.30 (step @p57 :rule refl :args (@t110)) % 3.10/3.30 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54 @p53) :args (@t115)) % 3.10/3.30 (step @p59 :rule aci_norm :args ((= (or @t110 (or @t109 (or @t108 (or @t114 @t106)))) @t115))) % 3.10/3.30 (step @p60 :rule trans :premises (@p59 @p58)) % 3.10/3.30 (step @p61 :rule bool-and-de-morgan :args (@t113 @t38 true)) % 3.10/3.30 (step @p62 :rule nary_cong :premises (@p55 @p61) :args ((or @t108 (not (and @t113 @t38))))) % 3.10/3.30 (step @p63 :rule bool-and-de-morgan :args (@t13 @t113 (and @t38))) % 3.10/3.30 (step @p64 :rule trans :premises (@p63 @p62)) % 3.10/3.30 (step @p65 :rule nary_cong :premises (@p56 @p64) :args ((or @t109 (not (and @t13 @t113 @t38))))) % 3.10/3.30 (step @p66 :rule bool-and-de-morgan :args (@t7 @t13 (and @t113 @t38))) % 3.10/3.30 (step @p67 :rule trans :premises (@p66 @p65)) % 3.10/3.30 (step @p68 :rule nary_cong :premises (@p57 @p67) :args ((or @t110 (not (and @t7 @t13 @t113 @t38))))) % 3.10/3.30 (step @p69 :rule bool-and-de-morgan :args (@t2 @t7 (and @t13 @t113 @t38))) % 3.10/3.30 (step @p70 :rule trans :premises (@p69 @p68)) % 3.10/3.30 (step @p71 :rule trans :premises (@p70 @p60)) % 3.10/3.30 (step @p72 :rule nary_cong :premises (@p71 @p52) :args ((or (not @t116) @t37))) % 3.10/3.30 (step @p73 :rule trans :premises (@p72 @p45)) % 3.10/3.30 (step @p74 :rule bool-impl-elim :args (@t116 @t37)) % 3.10/3.30 (step @p75 :rule trans :premises (@p74 @p73)) % 3.10/3.30 (step @p76 :rule cong :premises (@p75) :args ((forall @t41 (=> @t116 @t37)))) % 3.10/3.30 (step @p77 :rule refl :args (@t37)) % 3.10/3.30 (step @p78 :rule refl :args (@t38)) % 3.10/3.30 (step @p79 :rule eq-symm :args (@t11 tptp.sz00)) % 3.10/3.30 (step @p80 :rule cong :premises (@p79) :args (@t26)) % 3.10/3.30 (step @p81 :rule refl :args (@t13)) % 3.10/3.30 (step @p82 :rule refl :args (@t7)) % 3.10/3.30 (step @p83 :rule refl :args (@t2)) % 3.10/3.30 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p78) :args (@t39)) % 3.10/3.30 (step @p85 :rule cong :premises (@p84 @p77) :args (@t40)) % 3.10/3.30 (step @p86 :rule cong :premises (@p85) :args (@t42)) % 3.10/3.30 (step @p87 :rule trans :premises (@p86 @p76)) % 3.10/3.30 (step @p88 :rule eq_resolve :premises (@p22 @p87)) % 3.10/3.30 (step @p89 :rule refl :args (@t73)) % 3.10/3.30 (step @p90 :rule aci_norm :args ((= (and @t89 @t136) (and @t89 @t135 @t127)))) % 3.10/3.30 (step @p91 :rule refl :args (@t118)) % 3.10/3.30 (step @p92 :rule refl :args (@t119)) % 3.10/3.30 (step @p93 :rule refl :args (@t121)) % 3.10/3.30 (step @p94 :rule eq-symm :args (@t123 @t120)) % 3.10/3.30 (step @p95 :rule cong :premises (@p94) :args (@t137)) % 3.10/3.30 (step @p96 :rule refl :args (@t124)) % 3.10/3.30 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t138)) % 3.10/3.30 (step @p98 :rule nary_cong :premises (@p97 @p93 @p92) :args (@t139)) % 3.10/3.30 (step @p99 :rule refl :args (@t125)) % 3.10/3.30 (step @p100 :rule nary_cong :premises (@p99 @p98 @p91) :args (@t140)) % 3.10/3.30 (step @p101 :rule cong :premises (@p100) :args (@t141)) % 3.10/3.30 (step @p102 :rule quant-merge-prenex :args ((= (forall @t144 @t143) @t141))) % 3.10/3.30 (step @p103 :rule refl :args (@t118)) % 3.10/3.30 (step @p104 :rule quant-unused-vars :args ((= @t145 @t119))) % 3.10/3.30 (step @p105 :rule quant-unused-vars :args ((= @t146 @t121))) % 3.10/3.30 (step @p106 :rule alpha_equiv :args (@t147 (@list @t122) (@list @t5))) % 3.10/3.30 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t148)) % 3.10/3.30 (step @p108 :rule quant-miniscope-and :args ((= @t149 @t148))) % 3.10/3.30 (step @p109 :rule trans :premises (@p108 @p107)) % 3.10/3.30 (step @p110 :rule refl :args (@t125)) % 3.10/3.30 (step @p111 :rule nary_cong :premises (@p110 @p109 @p103) :args (@t150)) % 3.10/3.30 (step @p112 :rule quant-miniscope-or :args ((= @t143 @t150))) % 3.10/3.30 (step @p113 :rule trans :premises (@p112 @p111)) % 3.10/3.30 (step @p114 :rule symm :premises (@p113)) % 3.10/3.30 (step @p115 :rule cong :premises (@p114) :args ((forall @t144 (or @t125 (and (forall @t24 (or @t109 (not (= @t79 @t120)))) @t121 @t119) @t118)))) % 3.10/3.30 (step @p116 :rule trans :premises (@p115 @p102)) % 3.10/3.30 (step @p117 :rule trans :premises (@p116 @p101)) % 3.10/3.30 (step @p118 :rule eq-symm :args (@t120 @t79)) % 3.10/3.30 (step @p119 :rule cong :premises (@p118) :args (@t151)) % 3.10/3.30 (step @p120 :rule refl :args (@t109)) % 3.10/3.30 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t152)) % 3.10/3.30 (step @p122 :rule cong :premises (@p121) :args (@t153)) % 3.10/3.30 (step @p123 :rule nary_cong :premises (@p122 @p93 @p92) :args (@t154)) % 3.10/3.30 (step @p124 :rule nary_cong :premises (@p99 @p123 @p91) :args (@t155)) % 3.10/3.30 (step @p125 :rule cong :premises (@p124) :args (@t156)) % 3.10/3.30 (step @p126 :rule trans :premises (@p125 @p117)) % 3.10/3.30 (step @p127 :rule refl :args (@t129)) % 3.10/3.30 (step @p128 :rule refl :args (@t131)) % 3.10/3.30 (step @p129 :rule eq-symm :args (@t130 @t79)) % 3.10/3.30 (step @p130 :rule cong :premises (@p129) :args (@t157)) % 3.10/3.30 (step @p131 :rule nary_cong :premises (@p120 @p130) :args (@t158)) % 3.10/3.30 (step @p132 :rule cong :premises (@p131) :args (@t159)) % 3.10/3.30 (step @p133 :rule cong :premises (@p132) :args (@t160)) % 3.10/3.30 (step @p134 :rule refl :args (@t132)) % 3.10/3.30 (step @p135 :rule nary_cong :premises (@p134 @p133 @p128 @p127) :args (@t161)) % 3.10/3.30 (step @p136 :rule refl :args (@t133)) % 3.10/3.30 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t162)) % 3.10/3.30 (step @p138 :rule cong :premises (@p137) :args (@t163)) % 3.10/3.30 (step @p139 :rule nary_cong :premises (@p138 @p126) :args ((and @t163 @t156))) % 3.10/3.30 (step @p140 :rule alpha_equiv :args (@t170 @t171 (@list @t117))) % 3.10/3.30 (step @p141 :rule alpha_equiv :args (@t175 @t171 (@list @t128))) % 3.10/3.30 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t176)) % 3.10/3.30 (step @p143 :rule quant-miniscope-and :args ((= (forall @t3 (and @t174 @t169)) @t176))) % 3.10/3.30 (step @p144 :rule trans :premises (@p143 @p142)) % 3.10/3.30 (step @p145 :rule trans :premises (@p144 @p139)) % 3.10/3.30 (step @p146 :rule aci_norm :args ((= (or (or @t110 @t168) @t74) @t169))) % 3.10/3.30 (step @p147 :rule refl :args (@t74)) % 3.10/3.30 (step @p148 :rule refl :args (@t164)) % 3.10/3.30 (step @p149 :rule refl :args (@t165)) % 3.10/3.30 (step @p150 :rule bool-double-not-elim :args (@t167)) % 3.10/3.30 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args (@t178)) % 3.10/3.30 (step @p152 :rule aci_norm :args ((= (and @t177 (and @t165 @t164)) @t178))) % 3.10/3.30 (step @p153 :rule trans :premises (@p152 @p151)) % 3.10/3.30 (step @p154 :rule bool-or-de-morgan :args (@t78 @t75 false)) % 3.10/3.30 (step @p155 :rule refl :args (@t177)) % 3.10/3.30 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((and @t177 (not (or @t78 @t75))))) % 3.10/3.30 (step @p157 :rule bool-or-de-morgan :args (@t172 @t78 (or @t75))) % 3.10/3.30 (step @p158 :rule trans :premises (@p157 @p156)) % 3.10/3.30 (step @p159 :rule trans :premises (@p158 @p153)) % 3.10/3.30 (step @p160 :rule nary_cong :premises (@p57 @p159) :args ((or @t110 (not @t179)))) % 3.10/3.30 (step @p161 :rule bool-and-de-morgan :args (@t2 @t179 true)) % 3.10/3.30 (step @p162 :rule trans :premises (@p161 @p160)) % 3.10/3.30 (step @p163 :rule nary_cong :premises (@p162 @p147) :args ((or (not @t180) @t74))) % 3.10/3.30 (step @p164 :rule trans :premises (@p163 @p146)) % 3.10/3.30 (step @p165 :rule bool-impl-elim :args (@t180 @t74)) % 3.10/3.30 (step @p166 :rule trans :premises (@p165 @p164)) % 3.10/3.30 (step @p167 :rule bool-impl-elim :args (@t74 @t173)) % 3.10/3.30 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t181)) % 3.10/3.30 (step @p169 :rule cong :premises (@p168) :args ((forall @t3 @t181))) % 3.10/3.30 (step @p170 :rule trans :premises (@p169 @p145)) % 3.10/3.30 (step @p171 :rule refl :args (@t74)) % 3.10/3.30 (step @p172 :rule refl :args (@t75)) % 3.10/3.30 (step @p173 :rule refl :args (@t78)) % 3.10/3.30 (step @p174 :rule bool-and-de-morgan :args (@t7 @t166 true)) % 3.10/3.30 (step @p175 :rule cong :premises (@p174) :args (@t183)) % 3.10/3.30 (step @p176 :rule cong :premises (@p175) :args (@t184)) % 3.10/3.30 (step @p177 :rule exists-elim :args ((= (exists @t24 @t182) @t184))) % 3.10/3.30 (step @p178 :rule trans :premises (@p177 @p176)) % 3.10/3.30 (step @p179 :rule eq-symm :args (@t79 @t77)) % 3.10/3.30 (step @p180 :rule nary_cong :premises (@p82 @p179) :args (@t80)) % 3.10/3.30 (step @p181 :rule cong :premises (@p180) :args (@t81)) % 3.10/3.30 (step @p182 :rule trans :premises (@p181 @p178)) % 3.10/3.30 (step @p183 :rule nary_cong :premises (@p182 @p173 @p172) :args (@t82)) % 3.10/3.30 (step @p184 :rule nary_cong :premises (@p83 @p183) :args (@t83)) % 3.10/3.30 (step @p185 :rule cong :premises (@p184 @p171) :args (@t84)) % 3.10/3.30 (step @p186 :rule nary_cong :premises (@p83 @p182 @p173 @p172) :args (@t85)) % 3.10/3.30 (step @p187 :rule cong :premises (@p171 @p186) :args (@t86)) % 3.10/3.30 (step @p188 :rule nary_cong :premises (@p187 @p185) :args (@t87)) % 3.10/3.30 (step @p189 :rule cong :premises (@p188) :args (@t88)) % 3.10/3.30 (step @p190 :rule trans :premises (@p189 @p170)) % 3.10/3.30 (step @p191 :rule refl :args (@t89)) % 3.10/3.30 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t90)) % 3.10/3.30 (step @p193 :rule trans :premises (@p192 @p90)) % 3.10/3.30 (step @p194 :rule cong :premises (@p193 @p89) :args (@t91)) % 3.10/3.30 (step @p195 :rule aci_norm :args ((= (and @t89 @t136 @t100 @t98 @t185 @t94 @t92) (and @t89 @t100 @t98 @t185 @t94 @t92 @t135 @t127)))) % 3.10/3.30 (step @p196 :rule refl :args (@t92)) % 3.10/3.30 (step @p197 :rule refl :args (@t94)) % 3.10/3.30 (step @p198 :rule bool-and-de-morgan :args (@t2 @t95 true)) % 3.10/3.30 (step @p199 :rule cong :premises (@p198) :args (@t186)) % 3.10/3.30 (step @p200 :rule cong :premises (@p199) :args (@t187)) % 3.10/3.30 (step @p201 :rule exists-elim :args ((= @t97 @t187))) % 3.10/3.30 (step @p202 :rule trans :premises (@p201 @p200)) % 3.10/3.30 (step @p203 :rule refl :args (@t98)) % 3.10/3.30 (step @p204 :rule refl :args (@t100)) % 3.10/3.30 (step @p205 :rule nary_cong :premises (@p191 @p190 @p204 @p203 @p202 @p197 @p196) :args (@t101)) % 3.10/3.30 (step @p206 :rule trans :premises (@p205 @p195)) % 3.10/3.30 (step @p207 :rule cong :premises (@p206 @p194) :args (@t102)) % 3.10/3.30 (step @p208 :rule cong :premises (@p207) :args (@t103)) % 3.10/3.30 (step @p209 :rule eq_resolve :premises (@p43 @p208)) % 3.10/3.30 (step @p210 :rule not_implies_elim1 :premises (@p209)) % 3.10/3.30 (step @p211 :rule and_elim :premises (@p210) :args (6)) % 3.10/3.30 (step @p212 :rule instantiate :premises (@p211) :args ((@list tptp.xc))) % 3.10/3.30 (step @p213 :rule not_implies_elim2 :premises (@p209)) % 3.10/3.30 (step @p214 :rule not_implies_elim2 :premises (@p213)) % 3.10/3.30 (step @p215 :rule not_or_elim :premises (@p214) :args (0)) % 3.10/3.30 (step @p216 :rule not_not_elim :premises (@p215)) % 3.10/3.30 (step @p217 :rule cnf_or_pos :args (@t191)) % 3.10/3.30 (step @p218 :rule reordering :premises (@p217) :args ((or @t72 @t190 (not @t191)))) % 3.10/3.30 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p212) :args (@t190 (@list false false) (@list @t71 @t191))) % 3.10/3.32 (step @p220 :rule cnf_and_pos :args (@t190 3)) % 3.10/3.32 (step @p221 :rule reordering :premises (@p220) :args ((or @t188 (not @t190)))) % 3.10/3.32 (step @p222 :rule chain_m_resolution :premises (@p221 @p219) :args (@t188 @t192 (@list @t190))) % 3.10/3.32 (step @p223 :rule aci_norm :args ((= (or (or @t110 @t109 @t108 @t107) (or @t105 @t29)) (or @t110 @t109 @t108 @t107 @t105 @t29)))) % 3.10/3.32 (step @p224 :rule bool-impl-elim :args (@t25 @t29)) % 3.10/3.32 (step @p225 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t193)) % 3.10/3.32 (step @p226 :rule aci_norm :args ((= (or @t110 (or @t109 (or @t108 @t114))) @t193))) % 3.10/3.32 (step @p227 :rule trans :premises (@p226 @p225)) % 3.10/3.32 (step @p228 :rule bool-and-de-morgan :args (@t13 @t113 true)) % 3.10/3.32 (step @p229 :rule nary_cong :premises (@p56 @p228) :args ((or @t109 (not (and @t13 @t113))))) % 3.10/3.32 (step @p230 :rule bool-and-de-morgan :args (@t7 @t13 (and @t113))) % 3.10/3.32 (step @p231 :rule trans :premises (@p230 @p229)) % 3.10/3.32 (step @p232 :rule nary_cong :premises (@p57 @p231) :args ((or @t110 (not (and @t7 @t13 @t113))))) % 3.10/3.32 (step @p233 :rule bool-and-de-morgan :args (@t2 @t7 (and @t13 @t113))) % 3.10/3.32 (step @p234 :rule trans :premises (@p233 @p232)) % 3.10/3.32 (step @p235 :rule trans :premises (@p234 @p227)) % 3.10/3.32 (step @p236 :rule nary_cong :premises (@p235 @p224) :args ((or (not @t194) @t30))) % 3.10/3.32 (step @p237 :rule trans :premises (@p236 @p223)) % 3.10/3.32 (step @p238 :rule bool-impl-elim :args (@t194 @t30)) % 3.10/3.32 (step @p239 :rule trans :premises (@p238 @p237)) % 3.10/3.32 (step @p240 :rule cong :premises (@p239) :args ((forall @t15 (=> @t194 @t30)))) % 3.10/3.32 (step @p241 :rule refl :args (@t30)) % 3.10/3.32 (step @p242 :rule nary_cong :premises (@p83 @p82 @p81 @p80) :args (@t27)) % 3.10/3.32 (step @p243 :rule cong :premises (@p242 @p241) :args (@t31)) % 3.10/3.32 (step @p244 :rule cong :premises (@p243) :args (@t32)) % 3.10/3.32 (step @p245 :rule trans :premises (@p244 @p240)) % 3.10/3.32 (step @p246 :rule eq_resolve :premises (@p21 @p245)) % 3.10/3.32 (step @p247 :rule instantiate :premises (@p246) :args ((@list tptp.xc tptp.xb tptp.xq))) % 3.10/3.32 (step @p248 :rule and_elim :premises (@p210) :args (5)) % 3.10/3.32 (step @p249 :rule and_elim :premises (@p42) :args (1)) % 3.10/3.32 (step @p250 :rule and_elim :premises (@p42) :args (0)) % 3.10/3.32 (step @p251 :rule and_elim :premises (@p41) :args (1)) % 3.10/3.32 (step @p252 :rule and_elim :premises (@p41) :args (2)) % 3.10/3.32 (step @p253 :rule symm :premises (@p252)) % 3.10/3.32 (step @p254 :rule cnf_or_pos :args (@t201)) % 3.10/3.32 (step @p255 :rule reordering :premises (@p254) :args ((or @t197 @t198 @t199 @t200 @t196 @t195 (not @t201)))) % 3.10/3.32 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p251 @p250 @p249 @p248 @p247) :args (@t195 (@list true false false false false false) (@list @t197 @t65 @t68 @t67 @t92 @t201))) % 3.10/3.32 (step @p257 :rule and_elim :premises (@p210) :args (7)) % 3.10/3.32 (step @p258 :rule instantiate :premises (@p257) :args ((@list tptp.xb tptp.xb))) % 3.10/3.32 (step @p259 :rule and_elim :premises (@p210) :args (1)) % 3.10/3.32 (step @p260 :rule cnf_or_pos :args (@t206)) % 3.10/3.32 (step @p261 :rule reordering :premises (@p260) :args ((or @t99 @t199 @t205 (not @t206)))) % 3.10/3.32 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p250 @p258) :args (@t205 (@list true false false) (@list @t99 @t68 @t206))) % 3.10/3.32 (step @p263 :rule cnf_and_pos :args (@t205 2)) % 3.10/3.32 (step @p264 :rule reordering :premises (@p263) :args ((or @t203 (not @t205)))) % 3.10/3.32 (step @p265 :rule chain_m_resolution :premises (@p264 @p262) :args (@t203 @t192 (@list @t205))) % 3.10/3.32 (step @p266 :rule and_elim :premises (@p41) :args (0)) % 3.10/3.32 (step @p267 :rule cnf_or_pos :args (@t210)) % 3.10/3.32 (step @p268 :rule reordering :premises (@p267) :args ((or @t197 @t209 @t198 @t199 @t200 @t202 @t208 @t207 @t211))) % 3.10/3.32 (step @p269 :rule chain_m_resolution :premises (@p268 @p253 @p266 @p251 @p250 @p249 @p265 @p256 @p222) :args (@t211 (@list true false false false false true false false) (@list @t197 @t66 @t65 @t68 @t67 @t202 @t195 @t188))) % 3.10/3.32 (assume-push @p276 @t212) % 3.10/3.32 (step @p271 :rule instantiate :premises (@p88) :args ((@list tptp.xb tptp.xc tptp.xq tptp.xa))) % 3.10/3.32 (step-pop @p277 :rule scope :premises (@p271)) % 3.10/3.32 (step @p272 :rule process_scope :premises (@p277) :args (@t210)) % 3.10/3.32 (step @p274 :rule implies_elim :premises (@p272)) % 3.10/3.32 (step @p275 false :rule chain_m_resolution :premises (@p274 @p269 @p88) :args (false (@list true false) (@list @t210 @t212))) % 3.10/3.32 ) % 3.10/3.32 % SZS output end Proof % 3.10/3.32 % cvc5 exiting %------------------------------------------------------------------------------