%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM511+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:39:40 AM UTC 2026 % Result : Theorem 75.04s 75.32s % Output : Proof 75.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM511+1 : 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 : n022.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 11:26:08 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 75.04/75.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 75.04/75.32 --- Run --no-e-matching --full-saturate-quant at 6... % 75.04/75.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 75.04/75.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 75.04/75.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 75.04/75.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 75.04/75.32 % SZS status Theorem % 75.04/75.32 % SZS output start Proof % 75.04/75.32 ( % 75.04/75.32 (declare-sort $$unsorted 0) % 75.04/75.32 (declare-const tptp.xr $$unsorted) % 75.04/75.32 (declare-const tptp.xk $$unsorted) % 75.04/75.32 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 75.04/75.32 (declare-const tptp.xm $$unsorted) % 75.04/75.32 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 75.04/75.32 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 75.04/75.32 (declare-const tptp.xn $$unsorted) % 75.04/75.32 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 75.04/75.32 (declare-const tptp.sz00 $$unsorted) % 75.04/75.32 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 75.04/75.32 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 75.04/75.32 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 75.04/75.32 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 75.04/75.32 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 75.04/75.32 (declare-const tptp.sz10 $$unsorted) % 75.04/75.32 (declare-const tptp.xp $$unsorted) % 75.04/75.32 (define @t1 () (@var "W0" $$unsorted)) % 75.04/75.32 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 75.04/75.32 (define @t3 () (@list @t1)) % 75.04/75.32 (define @t4 () (@var "W1" $$unsorted)) % 75.04/75.32 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 75.04/75.32 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 75.04/75.32 (define @t7 () (and @t2 @t6)) % 75.04/75.32 (define @t8 () (@list @t1 @t4)) % 75.04/75.32 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 75.04/75.32 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 75.04/75.32 (define @t11 () (forall @t8 (=> @t7 @t10))) % 75.04/75.32 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 75.04/75.32 (define @t13 () (@var "W2" $$unsorted)) % 75.04/75.32 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 75.04/75.32 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 75.04/75.32 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 75.04/75.32 (define @t17 () (and @t2 @t6 @t16)) % 75.04/75.32 (define @t18 () (@list @t1 @t4 @t13)) % 75.04/75.32 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 75.04/75.32 (define @t20 () (= @t9 @t19)) % 75.04/75.32 (define @t21 () (forall @t8 (=> @t7 @t20))) % 75.04/75.32 (define @t22 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 75.04/75.32 (define @t23 () (forall @t18 (=> @t17 @t22))) % 75.04/75.32 (define @t24 () (tptp.sdtasdt0 @t13 @t1)) % 75.04/75.32 (define @t25 () (tptp.sdtasdt0 @t1 @t13)) % 75.04/75.32 (define @t26 () (= @t4 @t13)) % 75.04/75.32 (define @t27 () (tptp.sdtpldt0 @t13 @t1)) % 75.04/75.32 (define @t28 () (tptp.sdtpldt0 @t1 @t13)) % 75.04/75.32 (define @t29 () (= @t19 @t24)) % 75.04/75.32 (define @t30 () (= @t9 @t25)) % 75.04/75.32 (define @t31 () (and @t6 @t16)) % 75.04/75.32 (define @t32 () (= @t1 tptp.sz00)) % 75.04/75.32 (define @t33 () (not @t32)) % 75.04/75.32 (define @t34 () (= @t4 tptp.sz00)) % 75.04/75.32 (define @t35 () (and @t16 (= @t28 @t4))) % 75.04/75.32 (define @t36 () (@list @t13)) % 75.04/75.32 (define @t37 () (tptp.sdtlseqdt0 @t1 @t4)) % 75.04/75.32 (define @t38 () (= @t1 @t4)) % 75.04/75.32 (define @t39 () (tptp.sdtlseqdt0 @t4 @t1)) % 75.04/75.32 (define @t40 () (tptp.sdtlseqdt0 @t4 @t13)) % 75.04/75.32 (define @t41 () (= @t4 @t1)) % 75.04/75.32 (define @t42 () (tptp.sdtpldt0 @t13 @t4)) % 75.04/75.32 (define @t43 () (and (not @t38) @t37)) % 75.04/75.32 (define @t44 () (= @t1 tptp.sz10)) % 75.04/75.32 (define @t45 () (tptp.iLess0 @t1 @t4)) % 75.04/75.32 (define @t46 () (= @t4 @t25)) % 75.04/75.32 (define @t47 () (and @t16 @t46)) % 75.04/75.32 (define @t48 () (exists @t36 @t47)) % 75.04/75.32 (define @t49 () (tptp.doDivides0 @t1 @t4)) % 75.04/75.32 (define @t50 () (= @t49 @t48)) % 75.04/75.32 (define @t51 () (=> @t7 @t50)) % 75.04/75.32 (define @t52 () (forall @t8 @t51)) % 75.04/75.32 (define @t53 () (tptp.sdtsldt0 @t4 @t1)) % 75.04/75.32 (define @t54 () (= @t13 @t53)) % 75.04/75.32 (define @t55 () (forall @t36 (= @t54 @t47))) % 75.04/75.32 (define @t56 () (and @t33 @t49)) % 75.04/75.32 (define @t57 () (=> @t56 @t55)) % 75.04/75.32 (define @t58 () (=> @t7 @t57)) % 75.04/75.32 (define @t59 () (forall @t8 @t58)) % 75.04/75.32 (define @t60 () (tptp.doDivides0 @t1 @t13)) % 75.04/75.32 (define @t61 () (tptp.doDivides0 @t1 @t14)) % 75.04/75.32 (define @t62 () (= (tptp.sdtasdt0 @t13 @t53) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1))) % 75.04/75.32 (define @t63 () (forall @t36 (=> @t16 @t62))) % 75.04/75.32 (define @t64 () (=> @t56 @t63)) % 75.04/75.32 (define @t65 () (=> @t7 @t64)) % 75.04/75.32 (define @t66 () (forall @t8 @t65)) % 75.04/75.32 (define @t67 () (or (= @t4 tptp.sz10) @t41)) % 75.04/75.32 (define @t68 () (tptp.doDivides0 @t4 @t1)) % 75.04/75.32 (define @t69 () (and @t6 @t68)) % 75.04/75.32 (define @t70 () (=> @t69 @t67)) % 75.04/75.32 (define @t71 () (@list @t4)) % 75.04/75.32 (define @t72 () (forall @t71 @t70)) % 75.04/75.32 (define @t73 () (not @t44)) % 75.04/75.32 (define @t74 () (and @t33 @t73 @t72)) % 75.04/75.32 (define @t75 () (tptp.isPrime0 @t1)) % 75.04/75.32 (define @t76 () (= @t75 @t74)) % 75.04/75.32 (define @t77 () (=> @t2 @t76)) % 75.04/75.32 (define @t78 () (forall @t3 @t77)) % 75.04/75.32 (define @t79 () (tptp.aNaturalNumber0 tptp.xp)) % 75.04/75.32 (define @t80 () (tptp.aNaturalNumber0 tptp.xm)) % 75.04/75.32 (define @t81 () (tptp.aNaturalNumber0 tptp.xn)) % 75.04/75.32 (define @t82 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 75.04/75.32 (define @t83 () (tptp.doDivides0 tptp.xp @t82)) % 75.04/75.32 (define @t84 () (tptp.isPrime0 tptp.xp)) % 75.04/75.32 (define @t85 () (tptp.sdtsldt0 @t82 tptp.xp)) % 75.04/75.32 (define @t86 () (= tptp.xk tptp.sz10)) % 75.04/75.32 (define @t87 () (= tptp.xk tptp.sz00)) % 75.04/75.32 (define @t88 () (tptp.isPrime0 tptp.xr)) % 75.04/75.32 (define @t89 () (tptp.doDivides0 tptp.xr tptp.xk)) % 75.04/75.32 (define @t90 () (tptp.aNaturalNumber0 tptp.xr)) % 75.04/75.32 (define @t91 () (tptp.doDivides0 tptp.xr @t82)) % 75.04/75.32 (define @t92 () (tptp.doDivides0 tptp.xr tptp.xn)) % 75.04/75.32 (define @t93 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 75.04/75.32 (define @t94 () (tptp.sdtasdt0 @t93 tptp.xm)) % 75.04/75.32 (define @t95 () (tptp.doDivides0 tptp.xp @t94)) % 75.04/75.32 (define @t96 () (not @t6)) % 75.04/75.32 (define @t97 () (not @t2)) % 75.04/75.32 (define @t98 () (or @t97 @t96)) % 75.04/75.32 (define @t99 () (not @t7)) % 75.04/75.32 (define @t100 () (not @t16)) % 75.04/75.32 (define @t101 () (forall @t36 (or @t100 (not (= @t85 (tptp.sdtasdt0 tptp.xr @t13)))))) % 75.04/75.32 (define @t102 () (@quantifiers_skolemize @t101 0)) % 75.04/75.32 (define @t103 () (@list tptp.xp @t102)) % 75.04/75.32 (define @t104 () (= @t49 (not (forall @t36 (or @t100 (not @t46)))))) % 75.04/75.32 (define @t105 () (forall @t36 (not @t47))) % 75.04/75.32 (define @t106 () (not @t105)) % 75.04/75.32 (define @t107 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 75.04/75.32 (define @t108 () (and (tptp.aNaturalNumber0 @t107) (= @t4 (tptp.sdtasdt0 @t1 @t107)))) % 75.04/75.32 (define @t109 () (= @t108 (= @t107 @t53))) % 75.04/75.32 (define @t110 () (not @t49)) % 75.04/75.32 (define @t111 () (or @t97 @t96 @t32 @t110 @t109)) % 75.04/75.32 (define @t112 () (@list @t1 @t4 @t107)) % 75.04/75.32 (define @t113 () (forall @t112 @t111)) % 75.04/75.32 (define @t114 () (@list @t107)) % 75.04/75.32 (define @t115 () (forall @t114 @t111)) % 75.04/75.32 (define @t116 () (forall @t114 @t109)) % 75.04/75.32 (define @t117 () (@list @t13)) % 75.04/75.32 (define @t118 () (or @t97 @t96 @t32 @t110 @t116)) % 75.04/75.32 (define @t119 () (forall @t36 (= @t47 @t54))) % 75.04/75.32 (define @t120 () (or @t97 @t96 @t32 @t110 @t119)) % 75.04/75.32 (define @t121 () (or @t32 @t110 @t119)) % 75.04/75.32 (define @t122 () (or @t32 @t110)) % 75.04/75.32 (define @t123 () (not @t56)) % 75.04/75.32 (define @t124 () (=> @t56 @t119)) % 75.04/75.32 (define @t125 () (tptp.sdtasdt0 tptp.xp @t85)) % 75.04/75.32 (define @t126 () (= @t82 @t125)) % 75.04/75.32 (define @t127 () (tptp.aNaturalNumber0 @t85)) % 75.04/75.32 (define @t128 () (and @t127 @t126)) % 75.04/75.32 (define @t129 () (= @t85 @t85)) % 75.04/75.32 (define @t130 () (not @t83)) % 75.04/75.32 (define @t131 () (tptp.aNaturalNumber0 @t82)) % 75.04/75.32 (define @t132 () (not @t131)) % 75.04/75.32 (define @t133 () (not @t79)) % 75.04/75.32 (define @t134 () (= tptp.xp tptp.sz00)) % 75.04/75.32 (define @t135 () (or @t133 @t132 @t134 @t130 (= @t128 @t129))) % 75.04/75.32 (define @t136 () (forall @t112 (or @t97 @t96 @t32 @t110 (= @t108 (= @t53 @t107))))) % 75.04/75.32 (define @t137 () (= tptp.sz00 tptp.xp)) % 75.04/75.32 (define @t138 () (or @t133 @t132 @t137 @t130 @t128)) % 75.04/75.32 (define @t139 () (@list false)) % 75.04/75.32 (define @t140 () (@list @t136)) % 75.04/75.32 (define @t141 () (@list tptp.xn tptp.xm)) % 75.04/75.32 (define @t142 () (not @t80)) % 75.04/75.32 (define @t143 () (not @t81)) % 75.04/75.32 (define @t144 () (or @t143 @t142 @t131)) % 75.04/75.32 (define @t145 () (@list false false false)) % 75.04/75.32 (define @t146 () (= tptp.sz10 @t4)) % 75.04/75.32 (define @t147 () (not @t68)) % 75.04/75.32 (define @t148 () (or @t96 @t147 @t146 @t38)) % 75.04/75.32 (define @t149 () (= @t75 (and @t33 @t73 (forall @t71 @t148)))) % 75.04/75.32 (define @t150 () (or @t146 @t38)) % 75.04/75.32 (define @t151 () (not (tptp.doDivides0 @t4 tptp.xp))) % 75.04/75.32 (define @t152 () (or @t96 @t151 @t146 (= tptp.xp @t4))) % 75.04/75.32 (define @t153 () (forall @t71 @t152)) % 75.04/75.32 (define @t154 () (not (= tptp.xp tptp.sz10))) % 75.04/75.32 (define @t155 () (not @t134)) % 75.04/75.32 (define @t156 () (and @t155 @t154 @t153)) % 75.04/75.32 (define @t157 () (= @t84 @t156)) % 75.04/75.32 (define @t158 () (or @t133 @t157)) % 75.04/75.32 (define @t159 () (forall @t3 (or @t97 @t149))) % 75.04/75.32 (define @t160 () (not @t137)) % 75.04/75.32 (define @t161 () (and @t160 (not (= tptp.sz10 tptp.xp)) (forall @t71 (or @t96 @t151 @t146 (= @t4 tptp.xp))))) % 75.04/75.32 (define @t162 () (= @t84 @t161)) % 75.04/75.32 (define @t163 () (or @t133 @t162)) % 75.04/75.32 (define @t164 () (@list @t159)) % 75.04/75.32 (define @t165 () (@list false false)) % 75.04/75.32 (define @t166 () (@list false false true false false)) % 75.04/75.32 (define @t167 () (not @t128)) % 75.04/75.32 (define @t168 () (@list @t128)) % 75.04/75.32 (define @t169 () (not @t101)) % 75.04/75.32 (define @t170 () (tptp.doDivides0 tptp.xr @t85)) % 75.04/75.32 (define @t171 () (= @t170 @t169)) % 75.04/75.32 (define @t172 () (not @t127)) % 75.04/75.32 (define @t173 () (not @t90)) % 75.04/75.32 (define @t174 () (or @t173 @t172 @t171)) % 75.04/75.32 (define @t175 () (tptp.aNaturalNumber0 @t102)) % 75.04/75.32 (define @t176 () (tptp.sdtasdt0 tptp.xr @t102)) % 75.04/75.32 (define @t177 () (= @t85 @t176)) % 75.04/75.32 (define @t178 () (not @t177)) % 75.04/75.32 (define @t179 () (not @t175)) % 75.04/75.32 (define @t180 () (or @t179 @t178)) % 75.04/75.32 (define @t181 () (@list true)) % 75.04/75.32 (define @t182 () (@list @t180)) % 75.04/75.32 (define @t183 () (tptp.sdtasdt0 tptp.xp @t102)) % 75.04/75.32 (define @t184 () (tptp.aNaturalNumber0 @t183)) % 75.04/75.32 (define @t185 () (or @t133 @t179 @t184)) % 75.04/75.32 (define @t186 () (tptp.sdtasdt0 @t102 tptp.xp)) % 75.04/75.32 (define @t187 () (= @t183 @t186)) % 75.04/75.32 (define @t188 () (or @t133 @t179 @t187)) % 75.04/75.32 (define @t189 () (tptp.aNaturalNumber0 @t186)) % 75.04/75.32 (define @t190 () (or @t97 @t96 @t100)) % 75.04/75.32 (define @t191 () (tptp.sdtasdt0 tptp.xr @t186)) % 75.04/75.32 (define @t192 () (= (tptp.sdtasdt0 @t176 tptp.xp) @t191)) % 75.04/75.32 (define @t193 () (or @t173 @t179 @t133 @t192)) % 75.04/75.32 (define @t194 () (tptp.sdtasdt0 tptp.xp @t13)) % 75.04/75.32 (define @t195 () (forall @t36 (or @t100 (not (= @t82 @t194))))) % 75.04/75.32 (define @t196 () (@quantifiers_skolemize @t195 0)) % 75.04/75.32 (define @t197 () (= @t85 @t196)) % 75.04/75.32 (define @t198 () (= @t82 (tptp.sdtasdt0 tptp.xp @t196))) % 75.04/75.32 (define @t199 () (tptp.aNaturalNumber0 @t196)) % 75.04/75.32 (define @t200 () (and @t199 @t198)) % 75.04/75.32 (define @t201 () (= @t200 @t197)) % 75.04/75.32 (define @t202 () (or @t133 @t132 @t134 @t130 @t201)) % 75.04/75.32 (define @t203 () (or @t133 @t132 @t137 @t130 @t201)) % 75.04/75.32 (define @t204 () (not @t195)) % 75.04/75.32 (define @t205 () (= @t83 @t204)) % 75.04/75.32 (define @t206 () (or @t133 @t132 @t205)) % 75.04/75.32 (define @t207 () (not @t198)) % 75.04/75.32 (define @t208 () (not @t199)) % 75.04/75.32 (define @t209 () (or @t208 @t207)) % 75.04/75.32 (define @t210 () (@list @t209)) % 75.04/75.32 (define @t211 () (tptp.sdtasdt0 @t85 tptp.xp)) % 75.04/75.32 (define @t212 () (= @t125 @t211)) % 75.04/75.32 (define @t213 () (or @t133 @t172 @t212)) % 75.04/75.32 (define @t214 () (tptp.sdtsldt0 @t82 tptp.xr)) % 75.04/75.32 (define @t215 () (= @t82 @t191)) % 75.04/75.32 (define @t216 () (and @t189 @t215)) % 75.04/75.32 (define @t217 () (= @t214 @t186)) % 75.04/75.32 (define @t218 () (= @t216 @t217)) % 75.04/75.32 (define @t219 () (not @t91)) % 75.04/75.32 (define @t220 () (= tptp.xr tptp.sz00)) % 75.04/75.32 (define @t221 () (or @t173 @t132 @t220 @t219 @t218)) % 75.04/75.32 (define @t222 () (= @t186 @t214)) % 75.04/75.32 (define @t223 () (= @t216 @t222)) % 75.04/75.32 (define @t224 () (= tptp.sz00 tptp.xr)) % 75.04/75.32 (define @t225 () (or @t173 @t132 @t224 @t219 @t223)) % 75.04/75.32 (define @t226 () (not (tptp.doDivides0 @t4 tptp.xr))) % 75.04/75.32 (define @t227 () (or @t96 @t226 @t146 (= tptp.xr @t4))) % 75.04/75.32 (define @t228 () (forall @t71 @t227)) % 75.04/75.32 (define @t229 () (not (= tptp.xr tptp.sz10))) % 75.04/75.32 (define @t230 () (not @t220)) % 75.04/75.32 (define @t231 () (and @t230 @t229 @t228)) % 75.04/75.32 (define @t232 () (= @t88 @t231)) % 75.04/75.32 (define @t233 () (or @t173 @t232)) % 75.04/75.32 (define @t234 () (not @t224)) % 75.04/75.32 (define @t235 () (and @t234 (not (= tptp.sz10 tptp.xr)) (forall @t71 (or @t96 @t226 @t146 (= @t4 tptp.xr))))) % 75.04/75.32 (define @t236 () (= @t88 @t235)) % 75.04/75.32 (define @t237 () (or @t173 @t236)) % 75.04/75.32 (define @t238 () (tptp.aNaturalNumber0 @t93)) % 75.04/75.32 (define @t239 () (and @t238 (= tptp.xn (tptp.sdtasdt0 tptp.xr @t93)))) % 75.04/75.32 (define @t240 () (= @t239 (= @t93 @t93))) % 75.04/75.32 (define @t241 () (not @t92)) % 75.04/75.32 (define @t242 () (or @t173 @t143 @t220 @t241 @t240)) % 75.04/75.32 (define @t243 () (or @t173 @t143 @t224 @t241 @t239)) % 75.04/75.32 (define @t244 () (tptp.sdtasdt0 tptp.xm @t93)) % 75.04/75.32 (define @t245 () (tptp.aNaturalNumber0 @t244)) % 75.04/75.32 (define @t246 () (not @t238)) % 75.04/75.32 (define @t247 () (or @t142 @t246 @t245)) % 75.04/75.32 (define @t248 () (= @t94 @t244)) % 75.04/75.32 (define @t249 () (or @t246 @t142 @t248)) % 75.04/75.32 (define @t250 () (tptp.aNaturalNumber0 @t94)) % 75.04/75.32 (define @t251 () (forall @t36 (or @t100 (not (= @t94 @t194))))) % 75.04/75.32 (define @t252 () (not @t251)) % 75.04/75.32 (define @t253 () (= @t95 @t252)) % 75.04/75.32 (define @t254 () (not @t250)) % 75.04/75.32 (define @t255 () (or @t133 @t254 @t253)) % 75.04/75.32 (define @t256 () (not @t253)) % 75.04/75.32 (define @t257 () (@list true false)) % 75.04/75.32 (define @t258 () (not (= @t94 @t183))) % 75.04/75.32 (define @t259 () (or @t179 @t258)) % 75.04/75.32 (define @t260 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 75.04/75.32 (define @t261 () (= (tptp.sdtasdt0 @t260 @t53) (tptp.sdtsldt0 (tptp.sdtasdt0 @t260 @t4) @t1))) % 75.04/75.32 (define @t262 () (not (tptp.aNaturalNumber0 @t260))) % 75.04/75.32 (define @t263 () (or @t97 @t96 @t32 @t110 @t262 @t261)) % 75.04/75.32 (define @t264 () (or @t262 @t261)) % 75.04/75.32 (define @t265 () (or @t97 @t96 @t32 @t110 @t264)) % 75.04/75.32 (define @t266 () (@list @t1 @t4 @t260)) % 75.04/75.32 (define @t267 () (forall @t266 @t265)) % 75.04/75.32 (define @t268 () (@list @t260)) % 75.04/75.32 (define @t269 () (forall @t268 @t265)) % 75.04/75.32 (define @t270 () (forall @t268 @t264)) % 75.04/75.32 (define @t271 () (or @t97 @t96 @t32 @t110 @t270)) % 75.04/75.32 (define @t272 () (forall @t36 (or @t100 @t62))) % 75.04/75.32 (define @t273 () (or @t97 @t96 @t32 @t110 @t272)) % 75.04/75.32 (define @t274 () (or @t32 @t110 @t272)) % 75.04/75.32 (define @t275 () (=> @t56 @t272)) % 75.04/75.32 (define @t276 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 75.04/75.32 (define @t277 () (= @t244 (tptp.sdtsldt0 @t276 tptp.xr))) % 75.04/75.32 (define @t278 () (or @t173 @t143 @t220 @t241 @t142 @t277)) % 75.04/75.32 (define @t279 () (forall @t266 @t263)) % 75.04/75.32 (define @t280 () (or @t173 @t143 @t224 @t241 @t142 @t277)) % 75.04/75.32 (define @t281 () (= @t82 @t276)) % 75.04/75.32 (define @t282 () (or @t143 @t142 @t281)) % 75.04/75.32 (define @t283 () (not @t216)) % 75.04/75.32 (assume @p1 (forall @t3 (=> @t2 true))) % 75.04/75.32 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 75.04/75.32 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 75.04/75.32 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 75.04/75.32 (assume @p5 @t11) % 75.04/75.32 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 75.04/75.32 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 75.04/75.32 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 75.04/75.32 (assume @p9 @t21) % 75.04/75.32 (assume @p10 @t23) % 75.04/75.32 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 75.04/75.32 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 75.04/75.32 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 75.04/75.32 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 75.04/75.32 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t13) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 75.04/75.32 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 75.04/75.32 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t32 @t34))))) % 75.04/75.32 (assume @p18 (forall @t8 (=> @t7 (= @t37 (exists @t36 @t35))))) % 75.04/75.32 (assume @p19 (forall @t8 (=> @t7 (=> @t37 (forall @t36 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 75.04/75.32 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 75.04/75.32 (assume @p21 (forall @t8 (=> @t7 (=> (and @t37 @t39) @t38)))) % 75.04/75.32 (assume @p22 (forall @t18 (=> @t17 (=> (and @t37 @t40) (tptp.sdtlseqdt0 @t1 @t13))))) % 75.04/75.32 (assume @p23 (forall @t8 (=> @t7 (or @t37 (and (not @t41) @t39))))) % 75.04/75.32 (assume @p24 (forall @t8 (=> @t7 (=> @t43 (forall @t36 (=> @t16 (and (not (= @t27 @t42)) (tptp.sdtlseqdt0 @t27 @t42) (not (= @t28 @t14)) (tptp.sdtlseqdt0 @t28 @t14)))))))) % 75.04/75.32 (assume @p25 (forall @t18 (=> @t17 (=> (and @t33 (not @t26) @t40) (and (not @t30) (tptp.sdtlseqdt0 @t9 @t25) (not @t29) (tptp.sdtlseqdt0 @t19 @t24)))))) % 75.04/75.32 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t44 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 75.04/75.32 (assume @p27 (forall @t8 (=> @t7 (=> @t33 (tptp.sdtlseqdt0 @t4 @t19))))) % 75.04/75.32 (assume @p28 (forall @t8 (=> @t7 (=> @t45 true)))) % 75.04/75.32 (assume @p29 (forall @t8 (=> @t7 (=> @t43 @t45)))) % 75.04/75.32 (assume @p30 @t52) % 75.04/75.32 (assume @p31 @t59) % 75.04/75.32 (assume @p32 (forall @t18 (=> @t17 (=> (and @t49 (tptp.doDivides0 @t4 @t13)) @t60)))) % 75.04/75.32 (assume @p33 (forall @t18 (=> @t17 (=> (and @t49 @t60) @t61)))) % 75.04/75.32 (assume @p34 (forall @t18 (=> @t17 (=> (and @t49 @t61) @t60)))) % 75.04/75.32 (assume @p35 (forall @t8 (=> @t7 (=> (and @t49 (not @t34)) @t37)))) % 75.04/75.32 (assume @p36 @t66) % 75.04/75.32 (assume @p37 @t78) % 75.04/75.32 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t73) (exists @t71 (and @t6 @t68 (tptp.isPrime0 @t4)))))) % 75.04/75.32 (assume @p39 (and @t81 @t80 @t79)) % 75.04/75.32 (assume @p40 (forall @t18 (=> @t17 (=> (and (tptp.isPrime0 @t13) (tptp.doDivides0 @t13 @t9)) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t4))))))) % 75.04/75.32 (assume @p41 (and @t84 @t83)) % 75.04/75.32 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 75.04/75.32 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 75.04/75.32 (assume @p44 (and (not (= tptp.xn tptp.xp)) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 75.04/75.32 (assume @p45 (= tptp.xk @t85)) % 75.04/75.32 (assume @p46 (not (or @t87 @t86))) % 75.04/75.32 (assume @p47 (and (not @t87) (not @t86))) % 75.04/75.32 (assume @p48 (and @t90 @t89 @t88)) % 75.04/75.32 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) @t91)) % 75.04/75.32 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 75.04/75.32 (assume @p51 (or @t92 (tptp.doDivides0 tptp.xr tptp.xm))) % 75.04/75.32 (assume @p52 @t92) % 75.04/75.32 (assume @p53 (and (not (= @t93 tptp.xn)) (tptp.sdtlseqdt0 @t93 tptp.xn))) % 75.04/75.32 (assume @p54 (not @t95)) % 75.04/75.32 (assume @p55 true) % 75.04/75.32 (step @p56 :rule aci_norm :args ((= (or @t98 @t10) (or @t97 @t96 @t10)))) % 75.04/75.32 (step @p57 :rule refl :args (@t10)) % 75.04/75.32 (step @p58 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 75.04/75.32 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t99 @t10))) % 75.04/75.32 (step @p60 :rule trans :premises (@p59 @p56)) % 75.04/75.32 (step @p61 :rule bool-impl-elim :args (@t7 @t10)) % 75.04/75.32 (step @p62 :rule trans :premises (@p61 @p60)) % 75.04/75.32 (step @p63 :rule cong :premises (@p62) :args (@t11)) % 75.04/75.32 (step @p64 :rule eq_resolve :premises (@p5 @p63)) % 75.04/75.32 (step @p65 :rule instantiate :premises (@p64) :args (@t103)) % 75.04/75.32 (step @p66 :rule aci_norm :args ((= (or @t98 @t104) (or @t97 @t96 @t104)))) % 75.04/75.32 (step @p67 :rule refl :args (@t104)) % 75.04/75.32 (step @p68 :rule nary_cong :premises (@p58 @p67) :args ((or @t99 @t104))) % 75.04/75.32 (step @p69 :rule trans :premises (@p68 @p66)) % 75.04/75.32 (step @p70 :rule bool-impl-elim :args (@t7 @t104)) % 75.04/75.32 (step @p71 :rule trans :premises (@p70 @p69)) % 75.04/75.32 (step @p72 :rule cong :premises (@p71) :args ((forall @t8 (=> @t7 @t104)))) % 75.04/75.32 (step @p73 :rule bool-and-de-morgan :args (@t16 @t46 true)) % 75.04/75.32 (step @p74 :rule cong :premises (@p73) :args (@t105)) % 75.04/75.32 (step @p75 :rule cong :premises (@p74) :args (@t106)) % 75.04/75.32 (step @p76 :rule exists-elim :args ((= @t48 @t106))) % 75.04/75.32 (step @p77 :rule trans :premises (@p76 @p75)) % 75.04/75.32 (step @p78 :rule refl :args (@t49)) % 75.04/75.32 (step @p79 :rule cong :premises (@p78 @p77) :args (@t50)) % 75.04/75.32 (step @p80 :rule refl :args (@t7)) % 75.04/75.32 (step @p81 :rule cong :premises (@p80 @p79) :args (@t51)) % 75.04/75.32 (step @p82 :rule cong :premises (@p81) :args (@t52)) % 75.04/75.32 (step @p83 :rule trans :premises (@p82 @p72)) % 75.04/75.32 (step @p84 :rule eq_resolve :premises (@p30 @p83)) % 75.04/75.32 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.xr @t85))) % 75.04/75.32 (step @p86 :rule eq-symm :args (@t107 @t53)) % 75.04/75.32 (step @p87 :rule refl :args (@t108)) % 75.04/75.32 (step @p88 :rule cong :premises (@p87 @p86) :args (@t109)) % 75.04/75.32 (step @p89 :rule refl :args (@t110)) % 75.04/75.32 (step @p90 :rule refl :args (@t32)) % 75.04/75.32 (step @p91 :rule refl :args (@t96)) % 75.04/75.32 (step @p92 :rule refl :args (@t97)) % 75.04/75.32 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args (@t111)) % 75.04/75.32 (step @p94 :rule cong :premises (@p93) :args (@t113)) % 75.04/75.32 (step @p95 :rule quant-merge-prenex :args ((= (forall @t8 @t115) @t113))) % 75.04/75.32 (step @p96 :rule alpha_equiv :args (@t116 (@list @t107) @t117)) % 75.04/75.32 (step @p97 :rule refl :args (@t110)) % 75.04/75.32 (step @p98 :rule refl :args (@t32)) % 75.04/75.32 (step @p99 :rule refl :args (@t96)) % 75.04/75.32 (step @p100 :rule refl :args (@t97)) % 75.04/75.32 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p96) :args (@t118)) % 75.04/75.32 (step @p102 :rule quant-miniscope-or :args ((= @t115 @t118))) % 75.04/75.32 (step @p103 :rule trans :premises (@p102 @p101)) % 75.04/75.32 (step @p104 :rule symm :premises (@p103)) % 75.04/75.32 (step @p105 :rule cong :premises (@p104) :args ((forall @t8 @t120))) % 75.04/75.32 (step @p106 :rule trans :premises (@p105 @p95)) % 75.04/75.32 (step @p107 :rule trans :premises (@p106 @p94)) % 75.04/75.32 (step @p108 :rule aci_norm :args ((= (or @t98 @t121) @t120))) % 75.04/75.32 (step @p109 :rule aci_norm :args ((= (or @t122 @t119) @t121))) % 75.04/75.32 (step @p110 :rule refl :args (@t119)) % 75.04/75.32 (step @p111 :rule bool-double-not-elim :args (@t32)) % 75.04/75.32 (step @p112 :rule nary_cong :premises (@p111 @p97) :args ((or (not @t33) @t110))) % 75.04/75.32 (step @p113 :rule bool-and-de-morgan :args (@t33 @t49 true)) % 75.04/75.32 (step @p114 :rule trans :premises (@p113 @p112)) % 75.04/75.32 (step @p115 :rule nary_cong :premises (@p114 @p110) :args ((or @t123 @t119))) % 75.04/75.32 (step @p116 :rule trans :premises (@p115 @p109)) % 75.04/75.32 (step @p117 :rule bool-impl-elim :args (@t56 @t119)) % 75.04/75.32 (step @p118 :rule trans :premises (@p117 @p116)) % 75.04/75.32 (step @p119 :rule nary_cong :premises (@p58 @p118) :args ((or @t99 @t124))) % 75.04/75.32 (step @p120 :rule trans :premises (@p119 @p108)) % 75.04/75.32 (step @p121 :rule bool-impl-elim :args (@t7 @t124)) % 75.04/75.32 (step @p122 :rule trans :premises (@p121 @p120)) % 75.04/75.32 (step @p123 :rule cong :premises (@p122) :args ((forall @t8 (=> @t7 @t124)))) % 75.04/75.32 (step @p124 :rule trans :premises (@p123 @p107)) % 75.04/75.32 (step @p125 :rule eq-symm :args (@t54 @t47)) % 75.04/75.32 (step @p126 :rule cong :premises (@p125) :args (@t55)) % 75.04/75.32 (step @p127 :rule refl :args (@t56)) % 75.04/75.32 (step @p128 :rule cong :premises (@p127 @p126) :args (@t57)) % 75.04/75.32 (step @p129 :rule cong :premises (@p80 @p128) :args (@t58)) % 75.04/75.32 (step @p130 :rule cong :premises (@p129) :args (@t59)) % 75.04/75.32 (step @p131 :rule trans :premises (@p130 @p124)) % 75.04/75.32 (step @p132 :rule eq_resolve :premises (@p31 @p131)) % 75.04/75.32 (step @p133 :rule bool-eq-true :args (@t128)) % 75.04/75.32 (step @p134 :rule eq-symm :args (true @t128)) % 75.04/75.32 (step @p135 :rule trans :premises (@p134 @p133)) % 75.04/75.32 (step @p136 :rule refl :args (@t128)) % 75.04/75.32 (step @p137 :rule eq-refl :args (@t85)) % 75.04/75.32 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t129 @t128))) % 75.04/75.32 (step @p139 :rule trans :premises (@p138 @p135)) % 75.04/75.32 (step @p140 :rule eq-symm :args (@t128 @t129)) % 75.04/75.32 (step @p141 :rule trans :premises (@p140 @p139)) % 75.04/75.32 (step @p142 :rule refl :args (@t130)) % 75.04/75.32 (step @p143 :rule eq-symm :args (tptp.xp tptp.sz00)) % 75.04/75.32 (step @p144 :rule refl :args (@t132)) % 75.04/75.32 (step @p145 :rule refl :args (@t133)) % 75.04/75.32 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142 @p141) :args (@t135)) % 75.04/75.32 (step @p147 :rule refl :args (@t136)) % 75.04/75.32 (step @p148 :rule cong :premises (@p147 @p146) :args ((=> @t136 @t135))) % 75.04/75.32 (assume-push @p513 @t136) % 75.04/75.32 (step @p150 :rule instantiate :premises (@p132) :args ((@list tptp.xp @t82 @t85))) % 75.04/75.32 (step-pop @p514 :rule scope :premises (@p150)) % 75.04/75.32 (step @p151 :rule process_scope :premises (@p514) :args (@t135)) % 75.04/75.32 (step @p153 :rule eq_resolve :premises (@p151 @p148)) % 75.04/75.32 (step @p154 :rule implies_elim :premises (@p153)) % 75.04/75.32 (step @p155 :rule chain_m_resolution :premises (@p154 @p132) :args (@t138 @t139 @t140)) % 75.04/75.32 (step @p156 :rule instantiate :premises (@p64) :args (@t141)) % 75.04/75.32 (step @p157 :rule and_elim :premises (@p39) :args (1)) % 75.04/75.32 (step @p158 :rule and_elim :premises (@p39) :args (0)) % 75.04/75.32 (step @p159 :rule cnf_or_pos :args (@t144)) % 75.04/75.32 (step @p160 :rule reordering :premises (@p159) :args ((or @t143 @t142 @t131 (not @t144)))) % 75.04/75.32 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p157 @p156) :args (@t131 @t145 (@list @t81 @t80 @t144))) % 75.04/75.32 (step @p162 :rule bool-impl-elim :args (@t2 @t149)) % 75.04/75.32 (step @p163 :rule cong :premises (@p162) :args ((forall @t3 (=> @t2 @t149)))) % 75.04/75.32 (step @p164 :rule aci_norm :args ((= (or (or @t96 @t147) @t150) @t148))) % 75.04/75.32 (step @p165 :rule refl :args (@t150)) % 75.04/75.32 (step @p166 :rule bool-and-de-morgan :args (@t6 @t68 true)) % 75.04/75.32 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t69) @t150))) % 75.04/75.32 (step @p168 :rule trans :premises (@p167 @p164)) % 75.04/75.32 (step @p169 :rule bool-impl-elim :args (@t69 @t150)) % 75.04/75.32 (step @p170 :rule trans :premises (@p169 @p168)) % 75.04/75.32 (step @p171 :rule cong :premises (@p170) :args ((forall @t71 (=> @t69 @t150)))) % 75.04/75.32 (step @p172 :rule eq-symm :args (@t4 @t1)) % 75.04/75.32 (step @p173 :rule eq-symm :args (@t4 tptp.sz10)) % 75.04/75.32 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t67)) % 75.04/75.32 (step @p175 :rule refl :args (@t69)) % 75.04/75.32 (step @p176 :rule cong :premises (@p175 @p174) :args (@t70)) % 75.04/75.32 (step @p177 :rule cong :premises (@p176) :args (@t72)) % 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(step @p381 :rule and_elim :premises (@p48) :args (2)) % 75.04/75.32 (step @p382 :rule cnf_equiv_pos1 :args (@t236)) % 75.04/75.32 (step @p383 :rule reordering :premises (@p382) :args ((or (not @t88) @t235 (not @t236)))) % 75.04/75.32 (step @p384 :rule chain_m_resolution :premises (@p383 @p381 @p380) :args (@t235 @t165 (@list @t88 @t236))) % 75.04/75.32 (step @p385 :rule cnf_and_pos :args (@t235 0)) % 75.04/75.32 (step @p386 :rule reordering :premises (@p385) :args ((or @t234 (not @t235)))) % 75.04/75.32 (step @p387 :rule chain_m_resolution :premises (@p386 @p384) :args (@t234 @t139 (@list @t235))) % 75.04/75.32 (step @p388 :rule and_elim :premises (@p49) :args (1)) % 75.04/75.32 (step @p389 :rule cnf_or_pos :args (@t225)) % 75.04/75.32 (step @p390 :rule reordering :premises (@p389) :args ((or @t173 @t219 @t224 @t132 @t223 (not @t225)))) % 75.04/75.32 (step @p391 :rule chain_m_resolution :premises (@p390 @p228 @p388 @p387 @p161 @p358) :args (@t223 @t166 (@list @t90 @t91 @t224 @t131 @t225))) % 75.04/75.32 (step @p392 :rule bool-eq-false :args (@t222)) % 75.04/75.32 (step @p393 :rule symm :premises (@p392)) % 75.04/75.32 (step @p394 :rule cong :premises (@p344) :args ((not @t217))) % 75.04/75.32 (step @p395 :rule bool-eq-false :args (@t217)) % 75.04/75.32 (step @p396 :rule trans :premises (@p395 @p394)) % 75.04/75.32 (step @p397 :rule trans :premises (@p396 @p393)) % 75.04/75.32 (step @p398 :rule instantiate :premises (@p84) :args ((@list tptp.xp @t94))) % 75.04/75.32 (step @p399 :rule instantiate :premises (@p64) :args ((@list tptp.xm @t93))) % 75.04/75.32 (step @p400 :rule bool-eq-true :args (@t239)) % 75.04/75.32 (step @p401 :rule eq-refl :args (@t93)) % 75.04/75.32 (step @p402 :rule refl :args (@t239)) % 75.04/75.32 (step @p403 :rule cong :premises (@p402 @p401) :args (@t240)) % 75.04/75.32 (step @p404 :rule trans :premises (@p403 @p400)) % 75.04/75.32 (step @p405 :rule refl :args (@t241)) % 75.04/75.32 (step @p406 :rule refl :args (@t143)) % 75.04/75.32 (step @p407 :rule nary_cong :premises (@p349 @p406 @p348 @p405 @p404) :args (@t242)) % 75.04/75.32 (step @p408 :rule cong :premises (@p147 @p407) :args ((=> @t136 @t242))) % 75.04/75.32 (assume-push @p523 @t136) % 75.04/75.32 (step @p410 :rule instantiate :premises (@p132) :args ((@list tptp.xr tptp.xn @t93))) % 75.04/75.32 (step-pop @p524 :rule scope :premises (@p410)) % 75.04/75.32 (step @p411 :rule process_scope :premises (@p524) :args (@t242)) % 75.04/75.32 (step @p413 :rule eq_resolve :premises (@p411 @p408)) % 75.04/75.32 (step @p414 :rule implies_elim :premises (@p413)) % 75.04/75.32 (step @p415 :rule chain_m_resolution :premises (@p414 @p132) :args (@t243 @t139 @t140)) % 75.04/75.32 (step @p416 :rule cnf_or_pos :args (@t243)) % 75.04/75.32 (step @p417 :rule reordering :premises (@p416) :args ((or @t241 @t143 @t173 @t224 @t239 (not @t243)))) % 75.04/75.32 (step @p418 :rule chain_m_resolution :premises (@p417 @p52 @p158 @p228 @p387 @p415) :args (@t239 (@list false false false true false) (@list @t92 @t81 @t90 @t224 @t243))) % 75.04/75.32 (step @p419 :rule cnf_and_pos :args (@t239 0)) % 75.04/75.32 (step @p420 :rule reordering :premises (@p419) :args ((or @t238 (not @t239)))) % 75.04/75.32 (step @p421 :rule chain_m_resolution :premises (@p420 @p418) :args (@t238 @t139 (@list @t239))) % 75.04/75.32 (step @p422 :rule cnf_or_pos :args (@t247)) % 75.04/75.32 (step @p423 :rule reordering :premises (@p422) :args ((or @t142 @t246 @t245 (not @t247)))) % 75.04/75.32 (step @p424 :rule chain_m_resolution :premises (@p423 @p157 @p421 @p399) :args (@t245 @t145 (@list @t80 @t238 @t247))) % 75.04/75.32 (step @p425 :rule true_intro :premises (@p424)) % 75.04/75.32 (step @p426 :rule instantiate :premises (@p258) :args ((@list @t93 tptp.xm))) % 75.04/75.32 (step @p427 :rule cnf_or_pos :args (@t249)) % 75.04/75.32 (step @p428 :rule reordering :premises (@p427) :args ((or @t142 @t246 @t248 (not @t249)))) % 75.04/75.32 (step @p429 :rule chain_m_resolution :premises (@p428 @p157 @p421 @p426) :args (@t248 @t145 (@list @t80 @t238 @t249))) % 75.04/75.32 (step @p430 :rule cong :premises (@p429) :args (@t250)) % 75.04/75.32 (step @p431 :rule trans :premises (@p430 @p425)) % 75.04/75.32 (step @p432 :rule true_elim :premises (@p431)) % 75.04/75.32 (step @p433 :rule cnf_or_pos :args (@t255)) % 75.04/75.32 (step @p434 :rule reordering :premises (@p433) :args ((or @t133 @t254 @t253 (not @t255)))) % 75.04/75.32 (step @p435 :rule chain_m_resolution :premises (@p434 @p210 @p432 @p398) :args (@t253 @t145 (@list @t79 @t250 @t255))) % 75.04/75.32 (step @p436 :rule bool-double-not-elim :args (@t251)) % 75.04/75.32 (step @p437 :rule refl :args (@t95)) % 75.04/75.32 (step @p438 :rule refl :args (@t256)) % 75.04/75.32 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436) :args ((or @t256 @t95 (not @t252)))) % 75.04/75.32 (step @p440 :rule cnf_equiv_pos2 :args (@t253)) % 75.04/75.32 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 75.04/75.32 (step @p442 :rule reordering :premises (@p441) :args ((or @t95 @t251 @t256))) % 75.04/75.32 (step @p443 :rule chain_m_resolution :premises (@p442 @p54 @p435) :args (@t251 @t257 (@list @t95 @t253))) % 75.04/75.32 (step @p444 :rule instantiate :premises (@p443) :args ((@list @t102))) % 75.04/75.32 (step @p445 :rule cnf_or_pos :args (@t259)) % 75.04/75.32 (step @p446 :rule reordering :premises (@p445) :args ((or @t179 @t258 (not @t259)))) % 75.04/75.32 (step @p447 :rule chain_m_resolution :premises (@p446 @p246 @p444) :args (@t258 @t165 (@list @t175 @t259))) % 75.04/75.32 (step @p448 :rule false_intro :premises (@p447)) % 75.04/75.32 (step @p449 :rule symm :premises (@p429)) % 75.04/75.32 (step @p450 :rule aci_norm :args ((= @t265 @t263))) % 75.04/75.32 (step @p451 :rule cong :premises (@p450) :args (@t267)) % 75.04/75.32 (step @p452 :rule quant-merge-prenex :args ((= (forall @t8 @t269) @t267))) % 75.04/75.32 (step @p453 :rule alpha_equiv :args (@t270 (@list @t260) @t117)) % 75.04/75.32 (step @p454 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p453) :args (@t271)) % 75.04/75.32 (step @p455 :rule quant-miniscope-or :args ((= @t269 @t271))) % 75.04/75.32 (step @p456 :rule trans :premises (@p455 @p454)) % 75.04/75.32 (step @p457 :rule symm :premises (@p456)) % 75.04/75.32 (step @p458 :rule cong :premises (@p457) :args ((forall @t8 @t273))) % 75.04/75.32 (step @p459 :rule trans :premises (@p458 @p452)) % 75.04/75.32 (step @p460 :rule trans :premises (@p459 @p451)) % 75.04/75.32 (step @p461 :rule aci_norm :args ((= (or @t98 @t274) @t273))) % 75.04/75.32 (step @p462 :rule aci_norm :args ((= (or @t122 @t272) @t274))) % 75.04/75.32 (step @p463 :rule refl :args (@t272)) % 75.04/75.32 (step @p464 :rule nary_cong :premises (@p114 @p463) :args ((or @t123 @t272))) % 75.04/75.32 (step @p465 :rule trans :premises (@p464 @p462)) % 75.04/75.32 (step @p466 :rule bool-impl-elim :args (@t56 @t272)) % 75.04/75.32 (step @p467 :rule trans :premises (@p466 @p465)) % 75.04/75.32 (step @p468 :rule nary_cong :premises (@p58 @p467) :args ((or @t99 @t275))) % 75.04/75.32 (step @p469 :rule trans :premises (@p468 @p461)) % 75.04/75.32 (step @p470 :rule bool-impl-elim :args (@t7 @t275)) % 75.04/75.32 (step @p471 :rule trans :premises (@p470 @p469)) % 75.04/75.32 (step @p472 :rule cong :premises (@p471) :args ((forall @t8 (=> @t7 @t275)))) % 75.04/75.32 (step @p473 :rule trans :premises (@p472 @p460)) % 75.04/75.32 (step @p474 :rule bool-impl-elim :args (@t16 @t62)) % 75.04/75.32 (step @p475 :rule cong :premises (@p474) :args (@t63)) % 75.04/75.32 (step @p476 :rule cong :premises (@p127 @p475) :args (@t64)) % 75.04/75.32 (step @p477 :rule cong :premises (@p80 @p476) :args (@t65)) % 75.04/75.32 (step @p478 :rule cong :premises (@p477) :args (@t66)) % 75.04/75.32 (step @p479 :rule trans :premises (@p478 @p473)) % 75.04/75.32 (step @p480 :rule eq_resolve :premises (@p36 @p479)) % 75.04/75.32 (step @p481 :rule refl :args (@t277)) % 75.04/75.32 (step @p482 :rule refl :args (@t142)) % 75.04/75.32 (step @p483 :rule nary_cong :premises (@p349 @p406 @p348 @p405 @p482 @p481) :args (@t278)) % 75.04/75.32 (step @p484 :rule refl :args (@t279)) % 75.04/75.32 (step @p485 :rule cong :premises (@p484 @p483) :args ((=> @t279 @t278))) % 75.04/75.32 (assume-push @p525 @t279) % 75.04/75.32 (step @p487 :rule instantiate :premises (@p480) :args ((@list tptp.xr tptp.xn tptp.xm))) % 75.04/75.32 (step-pop @p526 :rule scope :premises (@p487)) % 75.04/75.32 (step @p488 :rule process_scope :premises (@p526) :args (@t278)) % 75.04/75.32 (step @p490 :rule eq_resolve :premises (@p488 @p485)) % 75.04/75.32 (step @p491 :rule implies_elim :premises (@p490)) % 75.04/75.32 (step @p492 :rule chain_m_resolution :premises (@p491 @p480) :args (@t280 @t139 (@list @t279))) % 75.04/75.32 (step @p493 :rule cnf_or_pos :args (@t280)) % 75.04/75.32 (step @p494 :rule reordering :premises (@p493) :args ((or @t241 @t143 @t142 @t173 @t224 @t277 (not @t280)))) % 75.04/75.32 (step @p495 :rule chain_m_resolution :premises (@p494 @p52 @p158 @p157 @p228 @p387 @p492) :args (@t277 (@list false false false false true false) (@list @t92 @t81 @t80 @t90 @t224 @t280))) % 75.04/75.32 (step @p496 :rule symm :premises (@p495)) % 75.04/75.32 (step @p497 :rule instantiate :premises (@p258) :args (@t141)) % 75.04/75.32 (step @p498 :rule cnf_or_pos :args (@t282)) % 75.04/75.32 (step @p499 :rule reordering :premises (@p498) :args ((or @t143 @t142 @t281 (not @t282)))) % 75.04/75.32 (step @p500 :rule chain_m_resolution :premises (@p499 @p158 @p157 @p497) :args (@t281 @t145 (@list @t81 @t80 @t282))) % 75.04/75.32 (step @p501 :rule cong :premises (@p500 @p232) :args (@t214)) % 75.04/75.32 (step @p502 :rule trans :premises (@p501 @p496 @p449)) % 75.04/75.32 (step @p503 :rule cong :premises (@p502 @p263) :args (@t217)) % 75.04/75.32 (step @p504 :rule trans :premises (@p503 @p448)) % 75.04/75.32 (step @p505 :rule eq_resolve :premises (@p504 @p397)) % 75.04/75.32 (step @p506 :rule false_elim :premises (@p505)) % 75.04/75.32 (step @p507 :rule cnf_equiv_pos1 :args (@t223)) % 75.04/75.32 (step @p508 :rule reordering :premises (@p507) :args ((or @t222 @t283 (not @t223)))) % 75.04/75.32 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p391) :args (@t283 @t257 (@list @t222 @t223))) % 75.04/75.33 (step @p510 :rule cnf_and_neg :args (@t216)) % 75.04/75.33 (step @p511 :rule reordering :premises (@p510) :args ((or (not @t189) @t216 (not @t215)))) % 75.04/75.33 (step @p512 false :rule chain_m_resolution :premises (@p511 @p509 @p343 @p266) :args (false (@list true false false) (@list @t216 @t215 @t189))) % 75.04/75.33 ) % 75.04/75.33 % SZS output end Proof % 75.04/75.33 % cvc5 exiting %------------------------------------------------------------------------------