%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM524+3 : 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 : n028.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 08:39:43 AM UTC 2026 % Result : Theorem 19.53s 19.76s % Output : Proof 19.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM524+3 : 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 % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:27:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.53/19.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.53/19.76 --- Run --no-e-matching --full-saturate-quant at 6... % 19.53/19.76 % SZS status Theorem % 19.53/19.76 % SZS output start Proof % 19.53/19.76 ( % 19.53/19.76 (declare-sort $$unsorted 0) % 19.53/19.76 (declare-const tptp.xq $$unsorted) % 19.53/19.76 (declare-const tptp.xp $$unsorted) % 19.53/19.76 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 19.53/19.76 (declare-const tptp.sz10 $$unsorted) % 19.53/19.76 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.53/19.76 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 19.53/19.76 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 19.53/19.76 (declare-const tptp.sz00 $$unsorted) % 19.53/19.76 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.53/19.76 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.53/19.76 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.53/19.76 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 19.53/19.76 (declare-const tptp.xn $$unsorted) % 19.53/19.76 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 19.53/19.76 (declare-const tptp.xm $$unsorted) % 19.53/19.76 (define @t1 () (@var "W0" $$unsorted)) % 19.53/19.76 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 19.53/19.76 (define @t3 () (@list @t1)) % 19.53/19.76 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 19.53/19.76 (define @t5 () (not (= tptp.sz10 tptp.sz00))) % 19.53/19.76 (define @t6 () (tptp.aNaturalNumber0 tptp.sz10)) % 19.53/19.76 (define @t7 () (@var "W1" $$unsorted)) % 19.53/19.76 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 19.53/19.76 (define @t9 () (tptp.aNaturalNumber0 @t7)) % 19.53/19.76 (define @t10 () (and @t2 @t9)) % 19.53/19.76 (define @t11 () (@list @t1 @t7)) % 19.53/19.76 (define @t12 () (tptp.sdtasdt0 @t1 @t7)) % 19.53/19.76 (define @t13 () (tptp.aNaturalNumber0 @t12)) % 19.53/19.76 (define @t14 () (forall @t11 (=> @t10 @t13))) % 19.53/19.76 (define @t15 () (tptp.sdtpldt0 @t7 @t1)) % 19.53/19.76 (define @t16 () (@var "W2" $$unsorted)) % 19.53/19.76 (define @t17 () (tptp.sdtpldt0 @t7 @t16)) % 19.53/19.76 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 19.53/19.76 (define @t19 () (and @t2 @t9 @t18)) % 19.53/19.76 (define @t20 () (@list @t1 @t7 @t16)) % 19.53/19.76 (define @t21 () (tptp.sdtasdt0 @t7 @t1)) % 19.53/19.76 (define @t22 () (= @t12 @t21)) % 19.53/19.76 (define @t23 () (forall @t11 (=> @t10 @t22))) % 19.53/19.76 (define @t24 () (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t7 @t16)))) % 19.53/19.76 (define @t25 () (forall @t20 (=> @t19 @t24))) % 19.53/19.76 (define @t26 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 19.53/19.76 (define @t27 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 19.53/19.76 (define @t28 () (and (= @t27 @t1) @t26)) % 19.53/19.76 (define @t29 () (=> @t2 @t28)) % 19.53/19.76 (define @t30 () (forall @t3 @t29)) % 19.53/19.76 (define @t31 () (tptp.sdtasdt0 @t16 @t1)) % 19.53/19.76 (define @t32 () (tptp.sdtasdt0 @t1 @t16)) % 19.53/19.76 (define @t33 () (= @t7 @t16)) % 19.53/19.76 (define @t34 () (tptp.sdtpldt0 @t16 @t1)) % 19.53/19.76 (define @t35 () (tptp.sdtpldt0 @t1 @t16)) % 19.53/19.76 (define @t36 () (= @t21 @t31)) % 19.53/19.76 (define @t37 () (= @t12 @t32)) % 19.53/19.76 (define @t38 () (or @t37 @t36)) % 19.53/19.76 (define @t39 () (=> @t38 @t33)) % 19.53/19.76 (define @t40 () (and @t9 @t18)) % 19.53/19.76 (define @t41 () (@list @t7 @t16)) % 19.53/19.76 (define @t42 () (forall @t41 (=> @t40 @t39))) % 19.53/19.76 (define @t43 () (= @t1 tptp.sz00)) % 19.53/19.76 (define @t44 () (not @t43)) % 19.53/19.76 (define @t45 () (=> @t44 @t42)) % 19.53/19.76 (define @t46 () (=> @t2 @t45)) % 19.53/19.76 (define @t47 () (forall @t3 @t46)) % 19.53/19.76 (define @t48 () (= @t7 tptp.sz00)) % 19.53/19.76 (define @t49 () (and @t18 (= @t35 @t7))) % 19.53/19.76 (define @t50 () (@list @t16)) % 19.53/19.76 (define @t51 () (tptp.sdtlseqdt0 @t1 @t7)) % 19.53/19.76 (define @t52 () (= @t1 @t7)) % 19.53/19.76 (define @t53 () (tptp.sdtlseqdt0 @t7 @t1)) % 19.53/19.76 (define @t54 () (tptp.sdtlseqdt0 @t7 @t16)) % 19.53/19.76 (define @t55 () (= @t7 @t1)) % 19.53/19.76 (define @t56 () (tptp.sdtpldt0 @t16 @t7)) % 19.53/19.76 (define @t57 () (and (not @t52) @t51)) % 19.53/19.76 (define @t58 () (not @t36)) % 19.53/19.76 (define @t59 () (not @t37)) % 19.53/19.76 (define @t60 () (= @t1 tptp.sz10)) % 19.53/19.76 (define @t61 () (tptp.iLess0 @t1 @t7)) % 19.53/19.76 (define @t62 () (and @t18 (= @t7 @t32))) % 19.53/19.76 (define @t63 () (tptp.doDivides0 @t1 @t7)) % 19.53/19.76 (define @t64 () (tptp.sdtsldt0 @t7 @t1)) % 19.53/19.76 (define @t65 () (= @t16 @t64)) % 19.53/19.76 (define @t66 () (forall @t50 (= @t65 @t62))) % 19.53/19.76 (define @t67 () (and @t44 @t63)) % 19.53/19.76 (define @t68 () (=> @t67 @t66)) % 19.53/19.76 (define @t69 () (=> @t10 @t68)) % 19.53/19.76 (define @t70 () (forall @t11 @t69)) % 19.53/19.76 (define @t71 () (tptp.doDivides0 @t1 @t16)) % 19.53/19.76 (define @t72 () (tptp.doDivides0 @t1 @t17)) % 19.53/19.76 (define @t73 () (not @t48)) % 19.53/19.76 (define @t74 () (= (tptp.sdtasdt0 @t16 @t64) (tptp.sdtsldt0 (tptp.sdtasdt0 @t16 @t7) @t1))) % 19.53/19.76 (define @t75 () (forall @t50 (=> @t18 @t74))) % 19.53/19.76 (define @t76 () (=> @t67 @t75)) % 19.53/19.76 (define @t77 () (=> @t10 @t76)) % 19.53/19.76 (define @t78 () (forall @t11 @t77)) % 19.53/19.76 (define @t79 () (or (= @t7 tptp.sz10) @t55)) % 19.53/19.76 (define @t80 () (tptp.doDivides0 @t7 @t1)) % 19.53/19.76 (define @t81 () (and @t9 @t80)) % 19.53/19.76 (define @t82 () (=> @t81 @t79)) % 19.53/19.76 (define @t83 () (@list @t7)) % 19.53/19.76 (define @t84 () (forall @t83 @t82)) % 19.53/19.76 (define @t85 () (not @t60)) % 19.53/19.76 (define @t86 () (and @t44 @t85 @t84)) % 19.53/19.76 (define @t87 () (tptp.isPrime0 @t1)) % 19.53/19.76 (define @t88 () (= @t87 @t86)) % 19.53/19.76 (define @t89 () (=> @t2 @t88)) % 19.53/19.76 (define @t90 () (forall @t3 @t89)) % 19.53/19.76 (define @t91 () (tptp.isPrime0 @t7)) % 19.53/19.76 (define @t92 () (and @t9 @t80 @t91)) % 19.53/19.76 (define @t93 () (exists @t83 @t92)) % 19.53/19.76 (define @t94 () (and @t2 @t44 @t85)) % 19.53/19.76 (define @t95 () (=> @t94 @t93)) % 19.53/19.76 (define @t96 () (forall @t3 @t95)) % 19.53/19.76 (define @t97 () (tptp.isPrime0 @t16)) % 19.53/19.76 (define @t98 () (= tptp.xp tptp.sz00)) % 19.53/19.76 (define @t99 () (tptp.aNaturalNumber0 tptp.xp)) % 19.53/19.76 (define @t100 () (tptp.aNaturalNumber0 tptp.xm)) % 19.53/19.76 (define @t101 () (tptp.aNaturalNumber0 tptp.xn)) % 19.53/19.76 (define @t102 () (@var "W3" $$unsorted)) % 19.53/19.76 (define @t103 () (@var "W4" $$unsorted)) % 19.53/19.76 (define @t104 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 19.53/19.76 (define @t105 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 19.53/19.76 (define @t106 () (tptp.sdtasdt0 tptp.xp @t105)) % 19.53/19.76 (define @t107 () (= @t106 @t104)) % 19.53/19.76 (define @t108 () (= @t1 tptp.xp)) % 19.53/19.76 (define @t109 () (or @t60 @t108)) % 19.53/19.76 (define @t110 () (tptp.doDivides0 @t1 tptp.xp)) % 19.53/19.76 (define @t111 () (and @t9 (= tptp.xp @t12))) % 19.53/19.76 (define @t112 () (exists @t83 @t111)) % 19.53/19.76 (define @t113 () (or @t112 @t110)) % 19.53/19.76 (define @t114 () (and @t2 @t113)) % 19.53/19.76 (define @t115 () (=> @t114 @t109)) % 19.53/19.76 (define @t116 () (forall @t3 @t115)) % 19.53/19.76 (define @t117 () (= tptp.xp tptp.sz10)) % 19.53/19.76 (define @t118 () (tptp.doDivides0 tptp.xp tptp.xn)) % 19.53/19.76 (define @t119 () (tptp.sdtasdt0 tptp.xp @t1)) % 19.53/19.76 (define @t120 () (= @t104 @t119)) % 19.53/19.76 (define @t121 () (and @t2 @t120)) % 19.53/19.76 (define @t122 () (exists @t3 @t121)) % 19.53/19.76 (define @t123 () (tptp.sdtsldt0 tptp.xn tptp.xp)) % 19.53/19.76 (define @t124 () (= tptp.xq @t123)) % 19.53/19.76 (define @t125 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 19.53/19.76 (define @t126 () (tptp.aNaturalNumber0 tptp.xq)) % 19.53/19.76 (define @t127 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 tptp.xq tptp.xq))) % 19.53/19.76 (define @t128 () (= @t105 @t127)) % 19.53/19.76 (define @t129 () (not @t128)) % 19.53/19.76 (define @t130 () (and (= @t1 @t27) @t26)) % 19.53/19.76 (define @t131 () (not @t9)) % 19.53/19.76 (define @t132 () (not @t2)) % 19.53/19.76 (define @t133 () (or @t132 @t131)) % 19.53/19.76 (define @t134 () (not @t10)) % 19.53/19.76 (define @t135 () (tptp.aNaturalNumber0 @t105)) % 19.53/19.76 (define @t136 () (not @t100)) % 19.53/19.76 (define @t137 () (or @t136 @t136 @t135)) % 19.53/19.76 (define @t138 () (@list false false)) % 19.53/19.76 (define @t139 () (= @t105 (tptp.sdtasdt0 @t105 tptp.sz10))) % 19.53/19.76 (define @t140 () (and @t139 (= @t105 (tptp.sdtasdt0 tptp.sz10 @t105)))) % 19.53/19.76 (define @t141 () (not @t135)) % 19.53/19.76 (define @t142 () (or @t141 @t140)) % 19.53/19.76 (define @t143 () (@list false)) % 19.53/19.76 (define @t144 () (not @t18)) % 19.53/19.76 (define @t145 () (or @t132 @t131 @t144 @t24)) % 19.53/19.76 (define @t146 () (or @t132 @t131 @t144)) % 19.53/19.76 (define @t147 () (or @t131 @t144)) % 19.53/19.76 (define @t148 () (not @t40)) % 19.53/19.76 (define @t149 () (tptp.sdtasdt0 @t125 tptp.xq)) % 19.53/19.76 (define @t150 () (not @t126)) % 19.53/19.76 (define @t151 () (not @t99)) % 19.53/19.76 (define @t152 () (or @t151 @t150 @t150 (= @t149 @t127))) % 19.53/19.76 (define @t153 () (forall @t20 @t145)) % 19.53/19.76 (define @t154 () (= @t127 @t149)) % 19.53/19.76 (define @t155 () (or @t151 @t150 @t150 @t154)) % 19.53/19.76 (define @t156 () (@list false false false)) % 19.53/19.76 (define @t157 () (tptp.sdtasdt0 @t105 tptp.xp)) % 19.53/19.76 (define @t158 () (= @t106 @t157)) % 19.53/19.76 (define @t159 () (or @t151 @t141 @t158)) % 19.53/19.76 (define @t160 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 19.53/19.76 (define @t161 () (@var "BOUND_VARIABLE_7858" $$unsorted)) % 19.53/19.76 (define @t162 () (= @t161 @t160)) % 19.53/19.76 (define @t163 () (and (not (= (tptp.sdtasdt0 @t1 @t161) (tptp.sdtasdt0 @t1 @t160))) (not (= (tptp.sdtasdt0 @t161 @t1) (tptp.sdtasdt0 @t160 @t1))))) % 19.53/19.76 (define @t164 () (not (tptp.aNaturalNumber0 @t160))) % 19.53/19.76 (define @t165 () (not (tptp.aNaturalNumber0 @t161))) % 19.53/19.76 (define @t166 () (or @t132 @t43 @t165 @t164 @t163 @t162)) % 19.53/19.76 (define @t167 () (or @t165 @t164 @t163 @t162)) % 19.53/19.76 (define @t168 () (or @t132 @t43 @t167)) % 19.53/19.76 (define @t169 () (@list @t1 @t161 @t160)) % 19.53/19.76 (define @t170 () (forall @t169 @t168)) % 19.53/19.76 (define @t171 () (@list @t161 @t160)) % 19.53/19.76 (define @t172 () (forall @t171 @t168)) % 19.53/19.76 (define @t173 () (forall @t171 @t167)) % 19.53/19.76 (define @t174 () (or @t132 @t43 @t173)) % 19.53/19.76 (define @t175 () (and @t59 @t58)) % 19.53/19.76 (define @t176 () (or @t131 @t144 @t175 @t33)) % 19.53/19.76 (define @t177 () (forall @t41 @t176)) % 19.53/19.76 (define @t178 () (or @t132 @t43 @t177)) % 19.53/19.76 (define @t179 () (not @t44)) % 19.53/19.76 (define @t180 () (=> @t44 @t177)) % 19.53/19.76 (define @t181 () (tptp.sdtasdt0 @t125 @t125)) % 19.53/19.76 (define @t182 () (forall @t3 (or @t132 (not (= @t119 @t181))))) % 19.53/19.76 (define @t183 () (@quantifiers_skolemize @t182 0)) % 19.53/19.76 (define @t184 () (= @t105 @t183)) % 19.53/19.76 (define @t185 () (tptp.sdtasdt0 @t183 tptp.xp)) % 19.53/19.76 (define @t186 () (tptp.sdtasdt0 tptp.xp @t183)) % 19.53/19.76 (define @t187 () (= @t106 @t186)) % 19.53/19.76 (define @t188 () (not @t187)) % 19.53/19.76 (define @t189 () (and @t188 (not (= @t157 @t185)))) % 19.53/19.76 (define @t190 () (tptp.aNaturalNumber0 @t183)) % 19.53/19.76 (define @t191 () (not @t190)) % 19.53/19.76 (define @t192 () (or @t151 @t98 @t141 @t191 @t189 @t184)) % 19.53/19.76 (define @t193 () (forall @t169 @t166)) % 19.53/19.76 (define @t194 () (= tptp.sz00 tptp.xp)) % 19.53/19.76 (define @t195 () (or @t151 @t194 @t141 @t191 @t189 @t184)) % 19.53/19.76 (define @t196 () (not (= @t181 @t119))) % 19.53/19.76 (define @t197 () (or @t132 @t196)) % 19.53/19.76 (define @t198 () (forall @t3 @t197)) % 19.53/19.76 (define @t199 () (not @t120)) % 19.53/19.76 (define @t200 () (or @t132 @t199)) % 19.53/19.76 (define @t201 () (forall @t3 @t200)) % 19.53/19.76 (define @t202 () (forall @t3 (not @t121))) % 19.53/19.76 (define @t203 () (not @t202)) % 19.53/19.76 (define @t204 () (= @t181 @t186)) % 19.53/19.76 (define @t205 () (not @t204)) % 19.53/19.76 (define @t206 () (or @t191 @t205)) % 19.53/19.76 (define @t207 () (not @t206)) % 19.53/19.76 (define @t208 () (not @t182)) % 19.53/19.76 (define @t209 () (not (= @t186 @t181))) % 19.53/19.76 (define @t210 () (or @t191 @t209)) % 19.53/19.76 (define @t211 () (not @t210)) % 19.53/19.76 (define @t212 () (@list true)) % 19.53/19.76 (define @t213 () (@list @t206)) % 19.53/19.76 (define @t214 () (not @t189)) % 19.53/19.76 (define @t215 () (@var "BOUND_VARIABLE_8057" $$unsorted)) % 19.53/19.76 (define @t216 () (and (tptp.aNaturalNumber0 @t215) (= @t7 (tptp.sdtasdt0 @t1 @t215)))) % 19.53/19.76 (define @t217 () (= @t216 (= @t215 @t64))) % 19.53/19.76 (define @t218 () (not @t63)) % 19.53/19.76 (define @t219 () (or @t132 @t131 @t43 @t218 @t217)) % 19.53/19.76 (define @t220 () (@list @t1 @t7 @t215)) % 19.53/19.76 (define @t221 () (forall @t220 @t219)) % 19.53/19.76 (define @t222 () (@list @t215)) % 19.53/19.76 (define @t223 () (forall @t222 @t219)) % 19.53/19.76 (define @t224 () (forall @t222 @t217)) % 19.53/19.76 (define @t225 () (@list @t16)) % 19.53/19.76 (define @t226 () (or @t132 @t131 @t43 @t218 @t224)) % 19.53/19.76 (define @t227 () (forall @t50 (= @t62 @t65))) % 19.53/19.76 (define @t228 () (or @t132 @t131 @t43 @t218 @t227)) % 19.53/19.76 (define @t229 () (or @t43 @t218 @t227)) % 19.53/19.76 (define @t230 () (or @t43 @t218)) % 19.53/19.76 (define @t231 () (not @t67)) % 19.53/19.76 (define @t232 () (=> @t67 @t227)) % 19.53/19.76 (define @t233 () (tptp.sdtsldt0 tptp.xp tptp.xp)) % 19.53/19.76 (define @t234 () (= tptp.xp (tptp.sdtasdt0 tptp.xp tptp.sz10))) % 19.53/19.76 (define @t235 () (and @t6 @t234)) % 19.53/19.76 (define @t236 () (= @t235 (= @t233 tptp.sz10))) % 19.53/19.76 (define @t237 () (tptp.doDivides0 tptp.xp tptp.xp)) % 19.53/19.76 (define @t238 () (not @t237)) % 19.53/19.76 (define @t239 () (or @t151 @t151 @t98 @t238 @t236)) % 19.53/19.76 (define @t240 () (forall @t220 (or @t132 @t131 @t43 @t218 (= @t216 (= @t64 @t215))))) % 19.53/19.76 (define @t241 () (= tptp.sz10 @t233)) % 19.53/19.76 (define @t242 () (= @t235 @t241)) % 19.53/19.76 (define @t243 () (or @t151 @t151 @t194 @t238 @t242)) % 19.53/19.76 (define @t244 () (not @t110)) % 19.53/19.76 (define @t245 () (@var "BOUND_VARIABLE_8249" $$unsorted)) % 19.53/19.76 (define @t246 () (tptp.sdtasdt0 @t1 @t245)) % 19.53/19.76 (define @t247 () (not (= @t246 tptp.xp))) % 19.53/19.76 (define @t248 () (not (tptp.aNaturalNumber0 @t245))) % 19.53/19.76 (define @t249 () (or @t248 @t247)) % 19.53/19.76 (define @t250 () (and @t249 @t244)) % 19.53/19.76 (define @t251 () (or @t132 @t250 @t60 @t108)) % 19.53/19.76 (define @t252 () (@list @t1 @t245)) % 19.53/19.76 (define @t253 () (forall @t252 @t251)) % 19.53/19.76 (define @t254 () (@list @t245)) % 19.53/19.76 (define @t255 () (forall @t254 @t251)) % 19.53/19.76 (define @t256 () (forall @t254 @t244)) % 19.53/19.76 (define @t257 () (forall @t254 @t249)) % 19.53/19.76 (define @t258 () (and @t257 @t256)) % 19.53/19.76 (define @t259 () (forall @t254 @t250)) % 19.53/19.76 (define @t260 () (or @t132 @t259 @t60 @t108)) % 19.53/19.76 (define @t261 () (= @t12 tptp.xp)) % 19.53/19.76 (define @t262 () (forall @t83 (or @t131 (not @t261)))) % 19.53/19.76 (define @t263 () (and @t262 @t244)) % 19.53/19.76 (define @t264 () (or @t132 @t263 @t60 @t108)) % 19.53/19.76 (define @t265 () (not @t262)) % 19.53/19.76 (define @t266 () (or @t265 @t110)) % 19.53/19.76 (define @t267 () (and @t2 @t266)) % 19.53/19.76 (define @t268 () (and @t9 @t261)) % 19.53/19.76 (define @t269 () (forall @t83 (not @t268))) % 19.53/19.76 (define @t270 () (not @t269)) % 19.53/19.76 (define @t271 () (not @t91)) % 19.53/19.76 (define @t272 () (forall @t83 (or @t131 (not (tptp.doDivides0 @t7 tptp.xp)) @t271))) % 19.53/19.76 (define @t273 () (@quantifiers_skolemize @t272 0)) % 19.53/19.76 (define @t274 () (tptp.doDivides0 @t273 tptp.xp)) % 19.53/19.76 (define @t275 () (not @t274)) % 19.53/19.76 (define @t276 () (and (or (not @t4) (not (= tptp.xp (tptp.sdtasdt0 @t273 tptp.sz00)))) @t275)) % 19.53/19.76 (define @t277 () (tptp.aNaturalNumber0 @t273)) % 19.53/19.76 (define @t278 () (not @t277)) % 19.53/19.76 (define @t279 () (or @t278 @t276 (= @t273 tptp.sz10) (= @t273 tptp.xp))) % 19.53/19.76 (define @t280 () (forall @t252 (or @t132 (and (or @t248 (not (= tptp.xp @t246))) @t244) @t60 @t108))) % 19.53/19.76 (define @t281 () (= tptp.xp @t273)) % 19.53/19.76 (define @t282 () (= tptp.sz10 @t273)) % 19.53/19.76 (define @t283 () (or @t278 @t276 @t282 @t281)) % 19.53/19.76 (define @t284 () (not @t80)) % 19.53/19.76 (define @t285 () (or @t131 @t284 @t271)) % 19.53/19.76 (define @t286 () (not (forall @t83 @t285))) % 19.53/19.76 (define @t287 () (or @t132 @t43 @t60 @t286)) % 19.53/19.76 (define @t288 () (not @t85)) % 19.53/19.76 (define @t289 () (or @t132 @t179 @t288)) % 19.53/19.76 (define @t290 () (forall @t83 (not @t92))) % 19.53/19.76 (define @t291 () (not @t290)) % 19.53/19.76 (define @t292 () (not @t272)) % 19.53/19.76 (define @t293 () (or @t151 @t98 @t117 @t292)) % 19.53/19.76 (define @t294 () (forall @t3 @t287)) % 19.53/19.76 (define @t295 () (@list tptp.xp)) % 19.53/19.76 (define @t296 () (= tptp.sz10 tptp.xp)) % 19.53/19.76 (define @t297 () (or @t151 @t194 @t296 @t292)) % 19.53/19.76 (define @t298 () (tptp.isPrime0 @t273)) % 19.53/19.76 (define @t299 () (not @t298)) % 19.53/19.76 (define @t300 () (or @t278 @t275 @t299)) % 19.53/19.76 (define @t301 () (@list @t300)) % 19.53/19.76 (define @t302 () (= tptp.sz10 @t7)) % 19.53/19.76 (define @t303 () (or @t131 @t284 @t302 @t52)) % 19.53/19.76 (define @t304 () (= @t87 (and @t44 @t85 (forall @t83 @t303)))) % 19.53/19.76 (define @t305 () (or @t302 @t52)) % 19.53/19.76 (define @t306 () (tptp.isPrime0 tptp.sz10)) % 19.53/19.76 (define @t307 () (not (tptp.doDivides0 @t7 tptp.sz10))) % 19.53/19.76 (define @t308 () (or @t131 @t307 @t302)) % 19.53/19.76 (define @t309 () (or @t131 @t307 @t302 @t302)) % 19.53/19.76 (define @t310 () (forall @t83 @t309)) % 19.53/19.76 (define @t311 () (not (= tptp.sz10 tptp.sz10))) % 19.53/19.76 (define @t312 () (and @t5 @t311 @t310)) % 19.53/19.76 (define @t313 () (= @t306 @t312)) % 19.53/19.76 (define @t314 () (not @t6)) % 19.53/19.76 (define @t315 () (or @t314 @t313)) % 19.53/19.76 (define @t316 () (forall @t3 (or @t132 @t304))) % 19.53/19.76 (define @t317 () (not @t306)) % 19.53/19.76 (define @t318 () (or @t314 @t317)) % 19.53/19.76 (define @t319 () (not @t282)) % 19.53/19.76 (define @t320 () (and @t317 @t282 @t298)) % 19.53/19.76 (define @t321 () (not @t276)) % 19.53/19.76 (define @t322 () (and @t274 @t281)) % 19.53/19.76 (define @t323 () (and @t234 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 19.53/19.76 (define @t324 () (or @t151 @t323)) % 19.53/19.76 (define @t325 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 19.53/19.76 (define @t326 () (= (tptp.sdtasdt0 @t325 @t64) (tptp.sdtsldt0 (tptp.sdtasdt0 @t325 @t7) @t1))) % 19.53/19.76 (define @t327 () (not (tptp.aNaturalNumber0 @t325))) % 19.53/19.76 (define @t328 () (or @t132 @t131 @t43 @t218 @t327 @t326)) % 19.53/19.76 (define @t329 () (or @t327 @t326)) % 19.53/19.76 (define @t330 () (or @t132 @t131 @t43 @t218 @t329)) % 19.53/19.76 (define @t331 () (@list @t1 @t7 @t325)) % 19.53/19.76 (define @t332 () (forall @t331 @t330)) % 19.53/19.76 (define @t333 () (@list @t325)) % 19.53/19.76 (define @t334 () (forall @t333 @t330)) % 19.53/19.76 (define @t335 () (forall @t333 @t329)) % 19.53/19.76 (define @t336 () (or @t132 @t131 @t43 @t218 @t335)) % 19.53/19.76 (define @t337 () (forall @t50 (or @t144 @t74))) % 19.53/19.76 (define @t338 () (or @t132 @t131 @t43 @t218 @t337)) % 19.53/19.76 (define @t339 () (or @t43 @t218 @t337)) % 19.53/19.76 (define @t340 () (=> @t67 @t337)) % 19.53/19.76 (define @t341 () (tptp.sdtasdt0 @t183 @t233)) % 19.53/19.76 (define @t342 () (= @t341 (tptp.sdtsldt0 @t185 tptp.xp))) % 19.53/19.76 (define @t343 () (or @t151 @t151 @t98 @t238 @t191 @t342)) % 19.53/19.76 (define @t344 () (forall @t331 @t328)) % 19.53/19.76 (define @t345 () (or @t151 @t151 @t194 @t238 @t191 @t342)) % 19.53/19.76 (define @t346 () (@list @t344)) % 19.53/19.76 (define @t347 () (@list true false false false false)) % 19.53/19.76 (define @t348 () (tptp.sdtsldt0 @t125 tptp.xp)) % 19.53/19.76 (define @t349 () (tptp.sdtasdt0 @t125 @t348)) % 19.53/19.76 (define @t350 () (tptp.sdtsldt0 @t181 tptp.xp)) % 19.53/19.76 (define @t351 () (tptp.aNaturalNumber0 @t125)) % 19.53/19.76 (define @t352 () (not @t351)) % 19.53/19.76 (define @t353 () (tptp.doDivides0 tptp.xp @t125)) % 19.53/19.76 (define @t354 () (not @t353)) % 19.53/19.76 (define @t355 () (or @t151 @t352 @t98 @t354 @t352 (= @t349 @t350))) % 19.53/19.76 (define @t356 () (= @t350 @t349)) % 19.53/19.76 (define @t357 () (or @t151 @t352 @t194 @t354 @t352 @t356)) % 19.53/19.76 (define @t358 () (not @t356)) % 19.53/19.76 (define @t359 () (not @t342)) % 19.53/19.76 (define @t360 () (not @t241)) % 19.53/19.76 (define @t361 () (not @t158)) % 19.53/19.76 (define @t362 () (not @t184)) % 19.53/19.76 (define @t363 () (not @t154)) % 19.53/19.76 (define @t364 () (not @t139)) % 19.53/19.76 (define @t365 () (= @t106 @t181)) % 19.53/19.76 (define @t366 () (not @t365)) % 19.53/19.76 (define @t367 () (= tptp.xq @t348)) % 19.53/19.76 (define @t368 () (not @t367)) % 19.53/19.76 (define @t369 () (and @t129 @t367 @t365 @t139 @t154 @t184 @t158 @t241 @t342)) % 19.53/19.76 (assume @p1 (forall @t3 (=> @t2 true))) % 19.53/19.76 (assume @p2 @t4) % 19.53/19.76 (assume @p3 (and @t6 @t5)) % 19.53/19.76 (assume @p4 (forall @t11 (=> @t10 (tptp.aNaturalNumber0 @t8)))) % 19.53/19.76 (assume @p5 @t14) % 19.53/19.76 (assume @p6 (forall @t11 (=> @t10 (= @t8 @t15)))) % 19.53/19.76 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t8 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 19.53/19.76 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 19.53/19.76 (assume @p9 @t23) % 19.53/19.76 (assume @p10 @t25) % 19.53/19.76 (assume @p11 @t30) % 19.53/19.76 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 19.53/19.76 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t32)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t21 @t31)))))) % 19.53/19.76 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t8 @t35) (= @t15 @t34)) @t33)))) % 19.53/19.76 (assume @p15 @t47) % 19.53/19.76 (assume @p16 (forall @t11 (=> @t10 (=> (= @t8 tptp.sz00) (and @t43 @t48))))) % 19.53/19.76 (assume @p17 (forall @t11 (=> @t10 (=> (= @t12 tptp.sz00) (or @t43 @t48))))) % 19.53/19.76 (assume @p18 (forall @t11 (=> @t10 (= @t51 (exists @t50 @t49))))) % 19.53/19.76 (assume @p19 (forall @t11 (=> @t10 (=> @t51 (forall @t50 (= (= @t16 (tptp.sdtmndt0 @t7 @t1)) @t49)))))) % 19.53/19.76 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 19.53/19.76 (assume @p21 (forall @t11 (=> @t10 (=> (and @t51 @t53) @t52)))) % 19.53/19.76 (assume @p22 (forall @t20 (=> @t19 (=> (and @t51 @t54) (tptp.sdtlseqdt0 @t1 @t16))))) % 19.53/19.76 (assume @p23 (forall @t11 (=> @t10 (or @t51 (and (not @t55) @t53))))) % 19.53/19.76 (assume @p24 (forall @t11 (=> @t10 (=> @t57 (forall @t50 (=> @t18 (and (not (= @t34 @t56)) (tptp.sdtlseqdt0 @t34 @t56) (not (= @t35 @t17)) (tptp.sdtlseqdt0 @t35 @t17)))))))) % 19.53/19.76 (assume @p25 (forall @t20 (=> @t19 (=> (and @t44 (not @t33) @t54) (and @t59 (tptp.sdtlseqdt0 @t12 @t32) @t58 (tptp.sdtlseqdt0 @t21 @t31)))))) % 19.53/19.76 (assume @p26 (forall @t3 (=> @t2 (or @t43 @t60 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 19.53/19.76 (assume @p27 (forall @t11 (=> @t10 (=> @t44 (tptp.sdtlseqdt0 @t7 @t21))))) % 19.53/19.76 (assume @p28 (forall @t11 (=> @t10 (=> @t61 true)))) % 19.53/19.76 (assume @p29 (forall @t11 (=> @t10 (=> @t57 @t61)))) % 19.53/19.76 (assume @p30 (forall @t11 (=> @t10 (= @t63 (exists @t50 @t62))))) % 19.53/19.76 (assume @p31 @t70) % 19.53/19.76 (assume @p32 (forall @t20 (=> @t19 (=> (and @t63 (tptp.doDivides0 @t7 @t16)) @t71)))) % 19.53/19.76 (assume @p33 (forall @t20 (=> @t19 (=> (and @t63 @t71) @t72)))) % 19.53/19.76 (assume @p34 (forall @t20 (=> @t19 (=> (and @t63 @t72) @t71)))) % 19.53/19.76 (assume @p35 (forall @t11 (=> @t10 (=> (and @t63 @t73) @t51)))) % 19.53/19.76 (assume @p36 @t78) % 19.53/19.76 (assume @p37 @t90) % 19.53/19.76 (assume @p38 @t96) % 19.53/19.76 (assume @p39 (forall @t20 (=> @t19 (=> (and @t97 (tptp.doDivides0 @t16 @t12)) (or (tptp.doDivides0 @t16 @t1) (tptp.doDivides0 @t16 @t7)))))) % 19.53/19.76 (assume @p40 (and @t101 @t100 @t99 (not (= tptp.xn tptp.sz00)) (not (= tptp.xm tptp.sz00)) (not @t98))) % 19.53/19.76 (assume @p41 (forall @t20 (=> (and @t2 @t9 @t18 @t44 @t73 (not (= @t16 tptp.sz00))) (=> (= (tptp.sdtasdt0 @t16 (tptp.sdtasdt0 @t7 @t7)) (tptp.sdtasdt0 @t1 @t1)) (=> (tptp.iLess0 @t1 tptp.xn) (not (or (and (not (= @t16 tptp.sz10)) (forall (@list @t102) (=> (and (tptp.aNaturalNumber0 @t102) (exists (@list @t103) (and (tptp.aNaturalNumber0 @t103) (= @t16 (tptp.sdtasdt0 @t102 @t103)))) (tptp.doDivides0 @t102 @t16)) (or (= @t102 tptp.sz10) (= @t102 @t16))))) @t97))))))) % 19.53/19.76 (assume @p42 @t107) % 19.53/19.76 (assume @p43 (and (not @t117) @t116 (tptp.isPrime0 tptp.xp))) % 19.53/19.76 (assume @p44 (and @t122 (tptp.doDivides0 tptp.xp @t104) (exists @t3 (and @t2 (= tptp.xn @t119))) @t118)) % 19.53/19.76 (assume @p45 (and @t126 (= tptp.xn @t125) @t124)) % 19.53/19.76 (assume @p46 @t129) % 19.53/19.76 (assume @p47 true) % 19.53/19.76 (step @p48 :rule and_elim :premises (@p45) :args (1)) % 19.53/19.76 (step @p49 :rule cong :premises (@p48 @p48) :args (@t104)) % 19.53/19.76 (step @p50 :rule refl :args (@t106)) % 19.53/19.76 (step @p51 :rule cong :premises (@p50 @p49) :args (@t107)) % 19.53/19.76 (step @p52 :rule eq_resolve :premises (@p42 @p51)) % 19.53/19.76 (step @p53 :rule refl :args (tptp.xp)) % 19.53/19.76 (step @p54 :rule cong :premises (@p48 @p53) :args (@t123)) % 19.53/19.76 (step @p55 :rule refl :args (tptp.xq)) % 19.53/19.76 (step @p56 :rule cong :premises (@p55 @p54) :args (@t124)) % 19.53/19.76 (step @p57 :rule and_elim :premises (@p45) :args (2)) % 19.53/19.76 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 19.53/19.76 (step @p59 :rule bool-impl-elim :args (@t2 @t130)) % 19.53/19.76 (step @p60 :rule cong :premises (@p59) :args ((forall @t3 (=> @t2 @t130)))) % 19.53/19.76 (step @p61 :rule refl :args (@t26)) % 19.53/19.76 (step @p62 :rule eq-symm :args (@t27 @t1)) % 19.53/19.76 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t28)) % 19.53/19.76 (step @p64 :rule refl :args (@t2)) % 19.53/19.76 (step @p65 :rule cong :premises (@p64 @p63) :args (@t29)) % 19.53/19.76 (step @p66 :rule cong :premises (@p65) :args (@t30)) % 19.53/19.76 (step @p67 :rule trans :premises (@p66 @p60)) % 19.53/19.76 (step @p68 :rule eq_resolve :premises (@p11 @p67)) % 19.53/19.76 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t105))) % 19.53/19.76 (step @p70 :rule aci_norm :args ((= (or @t133 @t13) (or @t132 @t131 @t13)))) % 19.53/19.76 (step @p71 :rule refl :args (@t13)) % 19.53/19.76 (step @p72 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 19.53/19.76 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t134 @t13))) % 19.53/19.76 (step @p74 :rule trans :premises (@p73 @p70)) % 19.53/19.76 (step @p75 :rule bool-impl-elim :args (@t10 @t13)) % 19.53/19.76 (step @p76 :rule trans :premises (@p75 @p74)) % 19.53/19.76 (step @p77 :rule cong :premises (@p76) :args (@t14)) % 19.53/19.76 (step @p78 :rule eq_resolve :premises (@p5 @p77)) % 19.53/19.76 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.xm tptp.xm))) % 19.53/19.76 (step @p80 :rule and_elim :premises (@p40) :args (1)) % 19.53/19.76 (step @p81 :rule cnf_or_pos :args (@t137)) % 19.53/19.76 (step @p82 :rule factoring :premises (@p81)) % 19.53/19.76 (step @p83 :rule reordering :premises (@p82) :args ((or @t136 @t135 (not @t137)))) % 19.53/19.76 (step @p84 :rule chain_m_resolution :premises (@p83 @p80 @p79) :args (@t135 @t138 (@list @t100 @t137))) % 19.53/19.76 (step @p85 :rule cnf_or_pos :args (@t142)) % 19.53/19.76 (step @p86 :rule reordering :premises (@p85) :args ((or @t141 @t140 (not @t142)))) % 19.53/19.76 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p69) :args (@t140 @t138 (@list @t135 @t142))) % 19.53/19.76 (step @p88 :rule cnf_and_pos :args (@t140 0)) % 19.53/19.76 (step @p89 :rule reordering :premises (@p88) :args ((or @t139 (not @t140)))) % 19.53/19.76 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t139 @t143 (@list @t140))) % 19.53/19.76 (step @p91 :rule aci_norm :args ((= (or @t146 @t24) @t145))) % 19.53/19.76 (step @p92 :rule refl :args (@t24)) % 19.53/19.76 (step @p93 :rule aci_norm :args ((= (or @t132 @t147) @t146))) % 19.53/19.76 (step @p94 :rule bool-and-de-morgan :args (@t9 @t18 true)) % 19.53/19.76 (step @p95 :rule refl :args (@t132)) % 19.53/19.76 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t132 @t148))) % 19.53/19.76 (step @p97 :rule bool-and-de-morgan :args (@t2 @t9 (and @t18))) % 19.53/19.76 (step @p98 :rule trans :premises (@p97 @p96)) % 19.53/19.76 (step @p99 :rule trans :premises (@p98 @p93)) % 19.53/19.76 (step @p100 :rule nary_cong :premises (@p99 @p92) :args ((or (not @t19) @t24))) % 19.53/19.76 (step @p101 :rule trans :premises (@p100 @p91)) % 19.53/19.76 (step @p102 :rule bool-impl-elim :args (@t19 @t24)) % 19.53/19.76 (step @p103 :rule trans :premises (@p102 @p101)) % 19.53/19.76 (step @p104 :rule cong :premises (@p103) :args (@t25)) % 19.53/19.76 (step @p105 :rule eq_resolve :premises (@p10 @p104)) % 19.53/19.76 (step @p106 :rule eq-symm :args (@t149 @t127)) % 19.53/19.76 (step @p107 :rule refl :args (@t150)) % 19.53/19.76 (step @p108 :rule refl :args (@t151)) % 19.53/19.76 (step @p109 :rule nary_cong :premises (@p108 @p107 @p107 @p106) :args (@t152)) % 19.53/19.76 (step @p110 :rule refl 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scope :premises (@p553)) % 19.53/19.76 (step-pop @p758 :rule scope :premises (@p757)) % 19.53/19.76 (step @p554 :rule process_scope :premises (@p758) :args (@t237)) % 19.53/19.76 (step @p557 :rule and_intro :premises (@p533 @p754)) % 19.53/19.76 (step @p558 :rule modus_ponens :premises (@p557 @p554)) % 19.53/19.76 (step-pop @p759 :rule scope :premises (@p558)) % 19.53/19.76 (step-pop @p760 :rule scope :premises (@p759)) % 19.53/19.76 (step @p559 :rule process_scope :premises (@p760) :args (@t237)) % 19.53/19.76 (step @p562 :rule implies_elim :premises (@p559)) % 19.53/19.76 (step @p563 :rule cnf_and_neg :args (@t322)) % 19.53/19.76 (step @p564 :rule resolution :premises (@p563 @p562) :args (true @t322)) % 19.53/19.76 (step @p565 :rule chain_m_resolution :premises (@p564 @p533 @p545) :args (@t237 @t138 (@list @t274 @t281))) % 19.53/19.76 (step @p566 :rule cnf_or_pos :args (@t243)) % 19.53/19.76 (step @p567 :rule factoring :premises (@p566)) % 19.53/19.76 (step @p568 :rule reordering :premises (@p567) :args ((or @t194 @t151 @t238 @t242 (not @t243)))) % 19.53/19.76 (step @p569 :rule chain_m_resolution :premises (@p568 @p249 @p120 @p565 @p310) :args (@t242 (@list true false false false) (@list @t194 @t99 @t237 @t243))) % 19.53/19.76 (step @p570 :rule instantiate :premises (@p68) :args (@t295)) % 19.53/19.76 (step @p571 :rule cnf_or_pos :args (@t324)) % 19.53/19.76 (step @p572 :rule reordering :premises (@p571) :args ((or @t151 @t323 (not @t324)))) % 19.53/19.76 (step @p573 :rule chain_m_resolution :premises (@p572 @p120 @p570) :args (@t323 @t138 (@list @t99 @t324))) % 19.53/19.76 (step @p574 :rule cnf_and_pos :args (@t323 0)) % 19.53/19.76 (step @p575 :rule reordering :premises (@p574) :args ((or @t234 (not @t323)))) % 19.53/19.76 (step @p576 :rule chain_m_resolution :premises (@p575 @p573) :args (@t234 @t143 (@list @t323))) % 19.53/19.76 (step @p577 :rule cnf_and_neg :args (@t235)) % 19.53/19.76 (step @p578 :rule reordering :premises (@p577) :args ((or @t314 (not @t234) @t235))) % 19.53/19.76 (step @p579 :rule chain_m_resolution :premises (@p578 @p492 @p576) :args (@t235 @t138 (@list @t6 @t234))) % 19.53/19.76 (step @p580 :rule cnf_equiv_pos1 :args (@t242)) % 19.53/19.76 (step @p581 :rule reordering :premises (@p580) :args ((or @t241 (not @t235) (not @t242)))) % 19.53/19.76 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p569) :args (@t241 @t138 (@list @t235 @t242))) % 19.53/19.76 (step @p583 :rule aci_norm :args ((= @t330 @t328))) % 19.53/19.76 (step @p584 :rule cong :premises (@p583) :args (@t332)) % 19.53/19.76 (step @p585 :rule quant-merge-prenex :args ((= (forall @t11 @t334) @t332))) % 19.53/19.76 (step @p586 :rule alpha_equiv :args (@t335 (@list @t325) @t225)) % 19.53/19.76 (step @p587 :rule nary_cong :premises (@p95 @p264 @p141 @p263 @p586) :args (@t336)) % 19.53/19.76 (step @p588 :rule quant-miniscope-or :args ((= @t334 @t336))) % 19.53/19.76 (step @p589 :rule trans :premises (@p588 @p587)) % 19.53/19.76 (step @p590 :rule symm :premises (@p589)) % 19.53/19.76 (step @p591 :rule cong :premises (@p590) :args ((forall @t11 @t338))) % 19.53/19.76 (step @p592 :rule trans :premises (@p591 @p585)) % 19.53/19.76 (step @p593 :rule trans :premises (@p592 @p584)) % 19.53/19.76 (step @p594 :rule aci_norm :args ((= (or @t133 @t339) @t338))) % 19.53/19.76 (step @p595 :rule aci_norm :args ((= (or @t230 @t337) @t339))) % 19.53/19.76 (step @p596 :rule refl :args (@t337)) % 19.53/19.76 (step @p597 :rule nary_cong :premises (@p277 @p596) :args ((or @t231 @t337))) % 19.53/19.76 (step @p598 :rule trans :premises (@p597 @p595)) % 19.53/19.76 (step @p599 :rule bool-impl-elim :args (@t67 @t337)) % 19.53/19.76 (step @p600 :rule trans :premises (@p599 @p598)) % 19.53/19.76 (step @p601 :rule nary_cong :premises (@p72 @p600) :args ((or @t134 @t340))) % 19.53/19.76 (step @p602 :rule trans :premises (@p601 @p594)) % 19.53/19.76 (step @p603 :rule bool-impl-elim :args (@t10 @t340)) % 19.53/19.76 (step @p604 :rule trans :premises (@p603 @p602)) % 19.53/19.76 (step @p605 :rule cong :premises (@p604) :args ((forall @t11 (=> @t10 @t340)))) % 19.53/19.76 (step @p606 :rule trans :premises (@p605 @p593)) % 19.53/19.76 (step @p607 :rule bool-impl-elim :args (@t18 @t74)) % 19.53/19.76 (step @p608 :rule cong :premises (@p607) :args (@t75)) % 19.53/19.76 (step @p609 :rule cong :premises (@p290 @p608) :args (@t76)) % 19.53/19.76 (step @p610 :rule cong :premises (@p292 @p609) :args (@t77)) % 19.53/19.76 (step @p611 :rule cong :premises (@p610) :args (@t78)) % 19.53/19.76 (step @p612 :rule trans :premises (@p611 @p606)) % 19.53/19.76 (step @p613 :rule eq_resolve :premises (@p36 @p612)) % 19.53/19.76 (step @p614 :rule refl :args (@t342)) % 19.53/19.76 (step @p615 :rule nary_cong :premises (@p108 @p108 @p182 @p300 @p180 @p614) :args (@t343)) % 19.53/19.76 (step @p616 :rule refl :args (@t344)) % 19.53/19.76 (step @p617 :rule cong :premises (@p616 @p615) :args ((=> @t344 @t343))) % 19.53/19.76 (assume-push @p761 @t344) % 19.53/19.76 (step @p619 :rule instantiate :premises (@p613) :args ((@list tptp.xp tptp.xp @t183))) % 19.53/19.76 (step-pop @p762 :rule scope :premises (@p619)) % 19.53/19.76 (step @p620 :rule process_scope :premises (@p762) :args (@t343)) % 19.53/19.76 (step @p622 :rule eq_resolve :premises (@p620 @p617)) % 19.53/19.76 (step @p623 :rule implies_elim :premises (@p622)) % 19.53/19.76 (step @p624 :rule chain_m_resolution :premises (@p623 @p613) :args (@t345 @t143 @t346)) % 19.53/19.76 (step @p625 :rule cnf_or_pos :args (@t345)) % 19.53/19.76 (step @p626 :rule factoring :premises (@p625)) % 19.53/19.76 (step @p627 :rule reordering :premises (@p626) :args ((or @t194 @t151 @t191 @t238 @t342 (not @t345)))) % 19.53/19.76 (step @p628 :rule chain_m_resolution :premises (@p627 @p249 @p120 @p247 @p565 @p624) :args (@t342 @t347 (@list @t194 @t99 @t190 @t237 @t345))) % 19.53/19.76 (step @p629 :rule eq-symm :args (@t349 @t350)) % 19.53/19.76 (step @p630 :rule refl :args (@t352)) % 19.53/19.76 (step @p631 :rule refl :args (@t354)) % 19.53/19.76 (step @p632 :rule nary_cong :premises (@p108 @p630 @p182 @p631 @p630 @p629) :args (@t355)) % 19.53/19.76 (step @p633 :rule cong :premises (@p616 @p632) :args ((=> @t344 @t355))) % 19.53/19.76 (assume-push @p763 @t344) % 19.53/19.76 (step @p635 :rule instantiate :premises (@p613) :args ((@list tptp.xp @t125 @t125))) % 19.53/19.77 (step-pop @p764 :rule scope :premises (@p635)) % 19.53/19.77 (step @p636 :rule process_scope :premises (@p764) :args (@t355)) % 19.53/19.77 (step @p638 :rule eq_resolve :premises (@p636 @p633)) % 19.53/19.77 (step @p639 :rule implies_elim :premises (@p638)) % 19.53/19.77 (step @p640 :rule chain_m_resolution :premises (@p639 @p613) :args (@t357 @t143 @t346)) % 19.53/19.77 (step @p641 :rule cong :premises (@p53 @p48) :args (@t118)) % 19.53/19.77 (step @p642 :rule and_elim :premises (@p44) :args (3)) % 19.53/19.77 (step @p643 :rule eq_resolve :premises (@p642 @p641)) % 19.53/19.77 (step @p644 :rule cong :premises (@p48) :args (@t101)) % 19.53/19.77 (step @p645 :rule and_elim :premises (@p40) :args (0)) % 19.53/19.77 (step @p646 :rule eq_resolve :premises (@p645 @p644)) % 19.53/19.77 (step @p647 :rule cnf_or_pos :args (@t357)) % 19.53/19.77 (step @p648 :rule factoring :premises (@p647)) % 19.53/19.77 (step @p649 :rule reordering :premises (@p648) :args ((or @t194 @t352 @t151 @t354 @t356 (not @t357)))) % 19.53/19.77 (step @p650 :rule chain_m_resolution :premises (@p649 @p249 @p646 @p120 @p643 @p640) :args (@t356 @t347 (@list @t194 @t351 @t99 @t353 @t357))) % 19.53/19.77 (step @p651 :rule refl :args (@t358)) % 19.53/19.77 (step @p652 :rule refl :args (@t359)) % 19.53/19.77 (step @p653 :rule refl :args (@t360)) % 19.53/19.77 (step @p654 :rule refl :args (@t361)) % 19.53/19.77 (step @p655 :rule refl :args (@t362)) % 19.53/19.77 (step @p656 :rule refl :args (@t363)) % 19.53/19.77 (step @p657 :rule refl :args (@t364)) % 19.53/19.77 (step @p658 :rule refl :args (@t366)) % 19.53/19.77 (step @p659 :rule refl :args (@t368)) % 19.53/19.77 (step @p660 :rule bool-double-not-elim :args (@t128)) % 19.53/19.77 (step @p661 :rule nary_cong :premises (@p660 @p659 @p658 @p657 @p656 @p655 @p654 @p653 @p652 @p651) :args ((or (not @t129) @t368 @t366 @t364 @t363 @t362 @t361 @t360 @t359 @t358))) % 19.53/19.77 (assume-push @p765 @t129) % 19.53/19.77 (assume-push @p766 @t367) % 19.53/19.77 (assume-push @p767 @t365) % 19.53/19.77 (assume-push @p768 @t139) % 19.53/19.77 (assume-push @p769 @t154) % 19.53/19.77 (assume-push @p770 @t184) % 19.53/19.77 (assume-push @p771 @t158) % 19.53/19.77 (assume-push @p772 @t241) % 19.53/19.77 (assume-push @p773 @t342) % 19.53/19.77 (assume-push @p774 @t129) % 19.53/19.77 (assume-push @p775 @t139) % 19.53/19.77 (assume-push @p776 @t184) % 19.53/19.77 (assume-push @p777 @t241) % 19.53/19.77 (assume-push @p778 @t342) % 19.53/19.77 (assume-push @p779 @t158) % 19.53/19.77 (assume-push @p780 @t365) % 19.53/19.77 (assume-push @p781 @t154) % 19.53/19.77 (assume-push @p782 @t367) % 19.53/19.77 (step @p680 :rule false_intro :premises (@p46)) % 19.53/19.77 (step @p681 :rule symm :premises (@p124)) % 19.53/19.77 (step @p682 :rule symm :premises (@p58)) % 19.53/19.77 (step @p683 :rule refl :args (@t125)) % 19.53/19.77 (step @p684 :rule cong :premises (@p683 @p682) :args (@t349)) % 19.53/19.77 (step @p685 :rule trans :premises (@p684 @p681)) % 19.53/19.77 (step @p686 :rule symm :premises (@p90)) % 19.53/19.77 (step @p687 :rule symm :premises (@p772)) % 19.53/19.77 (step @p688 :rule symm :premises (@p252)) % 19.53/19.77 (step @p689 :rule cong :premises (@p688 @p687) :args (@t341)) % 19.53/19.77 (step @p690 :rule symm :premises (@p773)) % 19.53/19.77 (step @p691 :rule cong :premises (@p252 @p53) :args (@t157)) % 19.53/19.77 (step @p692 :rule symm :premises (@p52)) % 19.53/19.77 (step @p693 :rule trans :premises (@p692 @p136 @p691)) % 19.53/19.77 (step @p694 :rule cong :premises (@p693 @p53) :args (@t350)) % 19.53/19.77 (step @p695 :rule trans :premises (@p694 @p690 @p689 @p686)) % 19.53/19.77 (step @p696 :rule cong :premises (@p695 @p685) :args (@t356)) % 19.53/19.77 (step @p697 :rule trans :premises (@p696 @p680)) % 19.53/19.77 (step @p698 :rule false_elim :premises (@p697)) % 19.53/19.77 (step-pop @p783 :rule scope :premises (@p698)) % 19.53/19.77 (step-pop @p784 :rule scope :premises (@p783)) % 19.53/19.77 (step-pop @p785 :rule scope :premises (@p784)) % 19.53/19.77 (step-pop @p786 :rule scope :premises (@p785)) % 19.53/19.77 (step-pop @p787 :rule scope :premises (@p786)) % 19.53/19.77 (step-pop @p788 :rule scope :premises (@p787)) % 19.53/19.77 (step-pop @p789 :rule scope :premises (@p788)) % 19.53/19.77 (step-pop @p790 :rule scope :premises (@p789)) % 19.53/19.77 (step-pop @p791 :rule scope :premises (@p790)) % 19.53/19.77 (step @p699 :rule process_scope :premises (@p791) :args (@t358)) % 19.53/19.77 (step @p709 :rule and_intro :premises (@p46 @p90 @p252 @p772 @p773 @p136 @p52 @p124 @p58)) % 19.53/19.77 (step @p710 :rule modus_ponens :premises (@p709 @p699)) % 19.53/19.77 (step-pop @p792 :rule scope :premises (@p710)) % 19.53/19.77 (step-pop @p793 :rule scope :premises (@p792)) % 19.53/19.77 (step-pop @p794 :rule scope :premises (@p793)) % 19.53/19.77 (step-pop @p795 :rule scope :premises (@p794)) % 19.53/19.77 (step-pop @p796 :rule scope :premises (@p795)) % 19.53/19.77 (step-pop @p797 :rule scope :premises (@p796)) % 19.53/19.77 (step-pop @p798 :rule scope :premises (@p797)) % 19.53/19.77 (step-pop @p799 :rule scope :premises (@p798)) % 19.53/19.77 (step-pop @p800 :rule scope :premises (@p799)) % 19.53/19.77 (step @p711 :rule process_scope :premises (@p800) :args (@t358)) % 19.53/19.77 (step @p721 :rule implies_elim :premises (@p711)) % 19.53/19.77 (step @p722 :rule cnf_and_neg :args (@t369)) % 19.53/19.77 (step @p723 :rule resolution :premises (@p722 @p721) :args (true @t369)) % 19.53/19.77 (step @p724 :rule eq_resolve :premises (@p723 @p661)) % 19.53/19.77 (step @p725 :rule reordering :premises (@p724) :args ((or @t128 @t366 @t368 @t364 @t363 @t362 @t361 @t360 @t359 @t358))) % 19.53/19.77 (step @p726 false :rule chain_m_resolution :premises (@p725 @p650 @p628 @p582 @p252 @p136 @p124 @p90 @p46 @p58 @p52) :args (false (@list false false false false false false false true false false) (@list @t356 @t342 @t241 @t184 @t158 @t154 @t139 @t128 @t367 @t365))) % 19.53/19.77 ) % 19.53/19.77 % SZS output end Proof % 19.53/19.77 % cvc5 exiting %------------------------------------------------------------------------------