%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM510+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 : 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 08:39:39 AM UTC 2026 % Result : Theorem 34.19s 35.00s % Output : Proof 34.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM510+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 : n013.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 11:25:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.19/35.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.19/35.00 --- Run --no-e-matching --full-saturate-quant at 6... % 34.19/35.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.19/35.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.19/35.00 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.19/35.00 % SZS status Theorem % 34.19/35.00 % SZS output start Proof % 34.19/35.00 ( % 34.19/35.00 (declare-sort $$unsorted 0) % 34.19/35.00 (declare-const tptp.xr $$unsorted) % 34.19/35.00 (declare-const tptp.xk $$unsorted) % 34.19/35.00 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.19/35.00 (declare-const tptp.xm $$unsorted) % 34.19/35.00 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.19/35.00 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.19/35.00 (declare-const tptp.xn $$unsorted) % 34.19/35.00 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.19/35.00 (declare-const tptp.sz00 $$unsorted) % 34.19/35.00 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.19/35.00 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.19/35.00 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.19/35.00 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.19/35.00 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 34.19/35.00 (declare-const tptp.sz10 $$unsorted) % 34.19/35.00 (declare-const tptp.xp $$unsorted) % 34.19/35.00 (define @t1 () (@var "W0" $$unsorted)) % 34.19/35.00 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 34.19/35.00 (define @t3 () (@list @t1)) % 34.19/35.00 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 34.19/35.00 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 34.19/35.00 (define @t6 () (@var "W1" $$unsorted)) % 34.19/35.00 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 34.19/35.00 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 34.19/35.00 (define @t9 () (and @t2 @t8)) % 34.19/35.00 (define @t10 () (@list @t1 @t6)) % 34.19/35.00 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 34.19/35.00 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 34.19/35.00 (define @t13 () (forall @t10 (=> @t9 @t12))) % 34.19/35.00 (define @t14 () (tptp.sdtpldt0 @t6 @t1)) % 34.19/35.00 (define @t15 () (@var "W2" $$unsorted)) % 34.19/35.00 (define @t16 () (tptp.sdtpldt0 @t6 @t15)) % 34.19/35.00 (define @t17 () (tptp.sdtpldt0 @t7 @t15)) % 34.19/35.00 (define @t18 () (tptp.aNaturalNumber0 @t15)) % 34.19/35.00 (define @t19 () (and @t2 @t8 @t18)) % 34.19/35.00 (define @t20 () (@list @t1 @t6 @t15)) % 34.19/35.00 (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 34.19/35.00 (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 34.19/35.00 (define @t23 () (and (= @t22 @t1) @t21)) % 34.19/35.00 (define @t24 () (=> @t2 @t23)) % 34.19/35.00 (define @t25 () (forall @t3 @t24)) % 34.19/35.00 (define @t26 () (tptp.sdtasdt0 @t6 @t1)) % 34.19/35.00 (define @t27 () (= @t11 @t26)) % 34.19/35.00 (define @t28 () (forall @t10 (=> @t9 @t27))) % 34.19/35.00 (define @t29 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 34.19/35.00 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 34.19/35.00 (define @t31 () (and (= @t30 @t1) @t29)) % 34.19/35.00 (define @t32 () (=> @t2 @t31)) % 34.19/35.00 (define @t33 () (forall @t3 @t32)) % 34.19/35.00 (define @t34 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 34.19/35.00 (define @t35 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 34.19/35.00 (define @t36 () (and (= @t35 tptp.sz00) @t34)) % 34.19/35.00 (define @t37 () (=> @t2 @t36)) % 34.19/35.00 (define @t38 () (forall @t3 @t37)) % 34.19/35.00 (define @t39 () (tptp.sdtasdt0 @t15 @t1)) % 34.19/35.00 (define @t40 () (tptp.sdtasdt0 @t1 @t15)) % 34.19/35.00 (define @t41 () (= @t6 @t15)) % 34.19/35.00 (define @t42 () (tptp.sdtpldt0 @t15 @t1)) % 34.19/35.00 (define @t43 () (tptp.sdtpldt0 @t1 @t15)) % 34.19/35.00 (define @t44 () (= @t26 @t39)) % 34.19/35.00 (define @t45 () (= @t11 @t40)) % 34.19/35.00 (define @t46 () (and @t8 @t18)) % 34.19/35.00 (define @t47 () (= @t1 tptp.sz00)) % 34.19/35.00 (define @t48 () (not @t47)) % 34.19/35.00 (define @t49 () (= @t6 tptp.sz00)) % 34.19/35.00 (define @t50 () (and @t18 (= @t43 @t6))) % 34.19/35.00 (define @t51 () (@list @t15)) % 34.19/35.00 (define @t52 () (tptp.sdtlseqdt0 @t1 @t6)) % 34.19/35.00 (define @t53 () (= @t1 @t6)) % 34.19/35.00 (define @t54 () (tptp.sdtlseqdt0 @t6 @t1)) % 34.19/35.00 (define @t55 () (tptp.sdtlseqdt0 @t6 @t15)) % 34.19/35.00 (define @t56 () (= @t6 @t1)) % 34.19/35.00 (define @t57 () (tptp.sdtpldt0 @t15 @t6)) % 34.19/35.00 (define @t58 () (and (not @t53) @t52)) % 34.19/35.00 (define @t59 () (and (not @t45) (tptp.sdtlseqdt0 @t11 @t40) (not @t44) (tptp.sdtlseqdt0 @t26 @t39))) % 34.19/35.00 (define @t60 () (not @t41)) % 34.19/35.00 (define @t61 () (and @t48 @t60 @t55)) % 34.19/35.00 (define @t62 () (=> @t61 @t59)) % 34.19/35.00 (define @t63 () (forall @t20 (=> @t19 @t62))) % 34.19/35.00 (define @t64 () (tptp.sdtlseqdt0 tptp.sz10 @t1)) % 34.19/35.00 (define @t65 () (not (= tptp.sz10 @t1))) % 34.19/35.00 (define @t66 () (and @t65 @t64)) % 34.19/35.00 (define @t67 () (= @t1 tptp.sz10)) % 34.19/35.00 (define @t68 () (or @t47 @t67 @t66)) % 34.19/35.00 (define @t69 () (=> @t2 @t68)) % 34.19/35.00 (define @t70 () (forall @t3 @t69)) % 34.19/35.00 (define @t71 () (tptp.sdtlseqdt0 @t6 @t26)) % 34.19/35.00 (define @t72 () (=> @t48 @t71)) % 34.19/35.00 (define @t73 () (forall @t10 (=> @t9 @t72))) % 34.19/35.00 (define @t74 () (tptp.iLess0 @t1 @t6)) % 34.19/35.00 (define @t75 () (= @t6 @t40)) % 34.19/35.00 (define @t76 () (and @t18 @t75)) % 34.19/35.00 (define @t77 () (exists @t51 @t76)) % 34.19/35.00 (define @t78 () (tptp.doDivides0 @t1 @t6)) % 34.19/35.00 (define @t79 () (= @t78 @t77)) % 34.19/35.00 (define @t80 () (=> @t9 @t79)) % 34.19/35.00 (define @t81 () (forall @t10 @t80)) % 34.19/35.00 (define @t82 () (tptp.sdtsldt0 @t6 @t1)) % 34.19/35.00 (define @t83 () (= @t15 @t82)) % 34.19/35.00 (define @t84 () (forall @t51 (= @t83 @t76))) % 34.19/35.00 (define @t85 () (and @t48 @t78)) % 34.19/35.00 (define @t86 () (=> @t85 @t84)) % 34.19/35.00 (define @t87 () (=> @t9 @t86)) % 34.19/35.00 (define @t88 () (forall @t10 @t87)) % 34.19/35.00 (define @t89 () (tptp.doDivides0 @t1 @t15)) % 34.19/35.00 (define @t90 () (tptp.doDivides0 @t1 @t16)) % 34.19/35.00 (define @t91 () (or (= @t6 tptp.sz10) @t56)) % 34.19/35.00 (define @t92 () (tptp.doDivides0 @t6 @t1)) % 34.19/35.00 (define @t93 () (and @t8 @t92)) % 34.19/35.00 (define @t94 () (=> @t93 @t91)) % 34.19/35.00 (define @t95 () (@list @t6)) % 34.19/35.00 (define @t96 () (forall @t95 @t94)) % 34.19/35.00 (define @t97 () (not @t67)) % 34.19/35.00 (define @t98 () (and @t48 @t97 @t96)) % 34.19/35.00 (define @t99 () (tptp.isPrime0 @t1)) % 34.19/35.00 (define @t100 () (= @t99 @t98)) % 34.19/35.00 (define @t101 () (=> @t2 @t100)) % 34.19/35.00 (define @t102 () (forall @t3 @t101)) % 34.19/35.00 (define @t103 () (tptp.aNaturalNumber0 tptp.xp)) % 34.19/35.00 (define @t104 () (tptp.aNaturalNumber0 tptp.xm)) % 34.19/35.00 (define @t105 () (tptp.aNaturalNumber0 tptp.xn)) % 34.19/35.00 (define @t106 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 34.19/35.00 (define @t107 () (tptp.doDivides0 tptp.xp @t106)) % 34.19/35.00 (define @t108 () (tptp.isPrime0 tptp.xp)) % 34.19/35.00 (define @t109 () (tptp.sdtsldt0 @t106 tptp.xp)) % 34.19/35.00 (define @t110 () (= tptp.xk tptp.sz10)) % 34.19/35.00 (define @t111 () (= tptp.xk tptp.sz00)) % 34.19/35.00 (define @t112 () (or @t111 @t110)) % 34.19/35.00 (define @t113 () (not @t112)) % 34.19/35.00 (define @t114 () (tptp.isPrime0 tptp.xr)) % 34.19/35.00 (define @t115 () (tptp.aNaturalNumber0 tptp.xr)) % 34.19/35.00 (define @t116 () (tptp.doDivides0 tptp.xr tptp.xn)) % 34.19/35.00 (define @t117 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 34.19/35.00 (define @t118 () (tptp.sdtlseqdt0 @t117 tptp.xn)) % 34.19/35.00 (define @t119 () (not (= @t117 tptp.xn))) % 34.19/35.00 (define @t120 () (and @t119 @t118)) % 34.19/35.00 (define @t121 () (not @t120)) % 34.19/35.00 (define @t122 () (not @t18)) % 34.19/35.00 (define @t123 () (= @t78 (not (forall @t51 (or @t122 (not @t75)))))) % 34.19/35.00 (define @t124 () (not @t8)) % 34.19/35.00 (define @t125 () (not @t2)) % 34.19/35.00 (define @t126 () (or @t125 @t124)) % 34.19/35.00 (define @t127 () (not @t9)) % 34.19/35.00 (define @t128 () (forall @t51 (not @t76))) % 34.19/35.00 (define @t129 () (not @t128)) % 34.19/35.00 (define @t130 () (forall @t51 (or @t122 (not (= tptp.xn (tptp.sdtasdt0 tptp.xr @t15)))))) % 34.19/35.00 (define @t131 () (not @t130)) % 34.19/35.00 (define @t132 () (= @t116 @t131)) % 34.19/35.00 (define @t133 () (not @t105)) % 34.19/35.00 (define @t134 () (not @t115)) % 34.19/35.00 (define @t135 () (or @t134 @t133 @t132)) % 34.19/35.00 (define @t136 () (@list false false false)) % 34.19/35.00 (define @t137 () (not @t116)) % 34.19/35.00 (define @t138 () (@list false false)) % 34.19/35.00 (define @t139 () (@quantifiers_skolemize @t130 0)) % 34.19/35.00 (define @t140 () (tptp.sdtasdt0 tptp.xr @t139)) % 34.19/35.00 (define @t141 () (= tptp.xn @t140)) % 34.19/35.00 (define @t142 () (not @t141)) % 34.19/35.00 (define @t143 () (tptp.aNaturalNumber0 @t139)) % 34.19/35.00 (define @t144 () (not @t143)) % 34.19/35.00 (define @t145 () (or @t144 @t142)) % 34.19/35.00 (define @t146 () (@list true)) % 34.19/35.00 (define @t147 () (@list @t145)) % 34.19/35.00 (define @t148 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 34.19/35.00 (define @t149 () (and (tptp.aNaturalNumber0 @t148) (= @t6 (tptp.sdtasdt0 @t1 @t148)))) % 34.19/35.00 (define @t150 () (= @t149 (= @t148 @t82))) % 34.19/35.00 (define @t151 () (not @t78)) % 34.19/35.00 (define @t152 () (or @t125 @t124 @t47 @t151 @t150)) % 34.19/35.00 (define @t153 () (@list @t1 @t6 @t148)) % 34.19/35.00 (define @t154 () (forall @t153 @t152)) % 34.19/35.00 (define @t155 () (@list @t148)) % 34.19/35.00 (define @t156 () (forall @t155 @t152)) % 34.19/35.00 (define @t157 () (forall @t155 @t150)) % 34.19/35.00 (define @t158 () (or @t125 @t124 @t47 @t151 @t157)) % 34.19/35.00 (define @t159 () (forall @t51 (= @t76 @t83))) % 34.19/35.00 (define @t160 () (or @t125 @t124 @t47 @t151 @t159)) % 34.19/35.00 (define @t161 () (or @t47 @t151 @t159)) % 34.19/35.00 (define @t162 () (not @t48)) % 34.19/35.00 (define @t163 () (=> @t85 @t159)) % 34.19/35.00 (define @t164 () (= @t117 @t139)) % 34.19/35.00 (define @t165 () (and @t143 @t141)) % 34.19/35.00 (define @t166 () (= @t165 @t164)) % 34.19/35.00 (define @t167 () (= tptp.xr tptp.sz00)) % 34.19/35.00 (define @t168 () (or @t134 @t133 @t167 @t137 @t166)) % 34.19/35.00 (define @t169 () (forall @t153 (or @t125 @t124 @t47 @t151 (= @t149 (= @t82 @t148))))) % 34.19/35.00 (define @t170 () (= tptp.sz00 tptp.xr)) % 34.19/35.00 (define @t171 () (or @t134 @t133 @t170 @t137 @t166)) % 34.19/35.00 (define @t172 () (@list false)) % 34.19/35.00 (define @t173 () (@list @t169)) % 34.19/35.00 (define @t174 () (= tptp.sz10 @t6)) % 34.19/35.00 (define @t175 () (not @t92)) % 34.19/35.00 (define @t176 () (or @t124 @t175 @t174 @t53)) % 34.19/35.00 (define @t177 () (= @t99 (and @t48 @t97 (forall @t95 @t176)))) % 34.19/35.00 (define @t178 () (or @t174 @t53)) % 34.19/35.00 (define @t179 () (not (tptp.doDivides0 @t6 tptp.xr))) % 34.19/35.00 (define @t180 () (or @t124 @t179 @t174 (= tptp.xr @t6))) % 34.19/35.00 (define @t181 () (forall @t95 @t180)) % 34.19/35.00 (define @t182 () (= tptp.xr tptp.sz10)) % 34.19/35.00 (define @t183 () (not @t182)) % 34.19/35.00 (define @t184 () (not @t167)) % 34.19/35.00 (define @t185 () (and @t184 @t183 @t181)) % 34.19/35.00 (define @t186 () (= @t114 @t185)) % 34.19/35.00 (define @t187 () (or @t134 @t186)) % 34.19/35.00 (define @t188 () (forall @t3 (or @t125 @t177))) % 34.19/35.00 (define @t189 () (@list tptp.xr)) % 34.19/35.00 (define @t190 () (= tptp.sz10 tptp.xr)) % 34.19/35.00 (define @t191 () (not @t190)) % 34.19/35.00 (define @t192 () (not @t170)) % 34.19/35.00 (define @t193 () (and @t192 @t191 (forall @t95 (or @t124 @t179 @t174 (= @t6 tptp.xr))))) % 34.19/35.00 (define @t194 () (= @t114 @t193)) % 34.19/35.00 (define @t195 () (or @t134 @t194)) % 34.19/35.00 (define @t196 () (@list @t188)) % 34.19/35.00 (define @t197 () (not @t193)) % 34.19/35.00 (define @t198 () (@list @t193)) % 34.19/35.00 (define @t199 () (not @t55)) % 34.19/35.00 (define @t200 () (or @t125 @t124 @t122 @t47 @t41 @t199 @t59)) % 34.19/35.00 (define @t201 () (or @t47 @t41 @t199 @t59)) % 34.19/35.00 (define @t202 () (or @t125 @t124 @t122)) % 34.19/35.00 (define @t203 () (not @t60)) % 34.19/35.00 (define @t204 () (or @t162 @t203 @t199)) % 34.19/35.00 (define @t205 () (tptp.sdtasdt0 tptp.xr tptp.xn)) % 34.19/35.00 (define @t206 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 34.19/35.00 (define @t207 () (= @t206 @t205)) % 34.19/35.00 (define @t208 () (not @t207)) % 34.19/35.00 (define @t209 () (tptp.sdtasdt0 tptp.xn tptp.xr)) % 34.19/35.00 (define @t210 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 34.19/35.00 (define @t211 () (and (not (= @t210 @t209)) (tptp.sdtlseqdt0 @t210 @t209) @t208 (tptp.sdtlseqdt0 @t206 @t205))) % 34.19/35.00 (define @t212 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xr)) % 34.19/35.00 (define @t213 () (not @t212)) % 34.19/35.00 (define @t214 () (not @t5)) % 34.19/35.00 (define @t215 () (or @t133 @t214 @t134 (= tptp.xn tptp.sz00) @t190 @t213 @t211)) % 34.19/35.00 (define @t216 () (forall @t20 @t200)) % 34.19/35.00 (define @t217 () (= tptp.sz00 tptp.xn)) % 34.19/35.00 (define @t218 () (or @t133 @t214 @t134 @t217 @t190 @t213 @t211)) % 34.19/35.00 (define @t219 () (and @t97 @t64)) % 34.19/35.00 (define @t220 () (or @t125 @t47 @t67 @t219)) % 34.19/35.00 (define @t221 () (or @t47 @t67 @t219)) % 34.19/35.00 (define @t222 () (and @t183 @t212)) % 34.19/35.00 (define @t223 () (or @t134 @t167 @t182 @t222)) % 34.19/35.00 (define @t224 () (forall @t3 @t220)) % 34.19/35.00 (define @t225 () (and @t191 @t212)) % 34.19/35.00 (define @t226 () (or @t134 @t170 @t190 @t225)) % 34.19/35.00 (define @t227 () (and (= @t1 @t22) @t21)) % 34.19/35.00 (define @t228 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 34.19/35.00 (define @t229 () (and @t228 @t228)) % 34.19/35.00 (define @t230 () (not @t4)) % 34.19/35.00 (define @t231 () (or @t230 @t229)) % 34.19/35.00 (define @t232 () (forall @t3 (or @t125 @t227))) % 34.19/35.00 (define @t233 () (or @t230 @t228)) % 34.19/35.00 (define @t234 () (@list tptp.xn tptp.xm)) % 34.19/35.00 (define @t235 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 34.19/35.00 (define @t236 () (= @t106 @t235)) % 34.19/35.00 (define @t237 () (not @t104)) % 34.19/35.00 (define @t238 () (or @t133 @t237 @t236)) % 34.19/35.00 (define @t239 () (tptp.sdtasdt0 tptp.xp tptp.xn)) % 34.19/35.00 (define @t240 () (tptp.sdtasdt0 tptp.xn tptp.xp)) % 34.19/35.00 (define @t241 () (= @t240 @t239)) % 34.19/35.00 (define @t242 () (not @t103)) % 34.19/35.00 (define @t243 () (or @t133 @t242 @t241)) % 34.19/35.00 (define @t244 () (and (= tptp.sz00 @t35) @t34)) % 34.19/35.00 (define @t245 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00))) % 34.19/35.00 (define @t246 () (and @t245 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 34.19/35.00 (define @t247 () (or @t237 @t246)) % 34.19/35.00 (define @t248 () (@list tptp.xp)) % 34.19/35.00 (define @t249 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 34.19/35.00 (define @t250 () (= tptp.sz00 @t249)) % 34.19/35.00 (define @t251 () (and @t250 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 34.19/35.00 (define @t252 () (or @t242 @t251)) % 34.19/35.00 (define @t253 () (not @t250)) % 34.19/35.00 (define @t254 () (not @t245)) % 34.19/35.00 (define @t255 () (not @t241)) % 34.19/35.00 (define @t256 () (not @t236)) % 34.19/35.00 (define @t257 () (not @t228)) % 34.19/35.00 (define @t258 () (not @t217)) % 34.19/35.00 (define @t259 () (= tptp.sz00 @t106)) % 34.19/35.00 (define @t260 () (not @t259)) % 34.19/35.00 (define @t261 () (= tptp.sz00 @t240)) % 34.19/35.00 (define @t262 () (= @t106 @t239)) % 34.19/35.00 (define @t263 () (and @t228 @t261 @t241 @t262 @t260)) % 34.19/35.00 (define @t264 () (= tptp.sz10 tptp.xk)) % 34.19/35.00 (define @t265 () (= tptp.sz00 tptp.xk)) % 34.19/35.00 (define @t266 () (or @t265 @t264)) % 34.19/35.00 (define @t267 () (= tptp.xn @t109)) % 34.19/35.00 (define @t268 () (not @t267)) % 34.19/35.00 (define @t269 () (= tptp.sz00 @t109)) % 34.19/35.00 (define @t270 () (not @t269)) % 34.19/35.00 (define @t271 () (and @t270 @t217)) % 34.19/35.00 (define @t272 () (and @t259 @t217 @t241 @t250)) % 34.19/35.00 (define @t273 () (and @t105 @t262)) % 34.19/35.00 (define @t274 () (= @t273 (= @t109 tptp.xn))) % 34.19/35.00 (define @t275 () (not @t107)) % 34.19/35.00 (define @t276 () (tptp.aNaturalNumber0 @t106)) % 34.19/35.00 (define @t277 () (not @t276)) % 34.19/35.00 (define @t278 () (= tptp.xp tptp.sz00)) % 34.19/35.00 (define @t279 () (or @t242 @t277 @t278 @t275 @t274)) % 34.19/35.00 (define @t280 () (= @t273 @t267)) % 34.19/35.00 (define @t281 () (= tptp.sz00 tptp.xp)) % 34.19/35.00 (define @t282 () (or @t242 @t277 @t281 @t275 @t280)) % 34.19/35.00 (define @t283 () (or @t133 @t237 @t276)) % 34.19/35.00 (define @t284 () (not (tptp.doDivides0 @t6 tptp.xp))) % 34.19/35.00 (define @t285 () (or @t124 @t284 @t174 (= tptp.xp @t6))) % 34.19/35.00 (define @t286 () (forall @t95 @t285)) % 34.19/35.00 (define @t287 () (not (= tptp.xp tptp.sz10))) % 34.19/35.00 (define @t288 () (not @t278)) % 34.19/35.00 (define @t289 () (and @t288 @t287 @t286)) % 34.19/35.00 (define @t290 () (= @t108 @t289)) % 34.19/35.00 (define @t291 () (or @t242 @t290)) % 34.19/35.00 (define @t292 () (not @t281)) % 34.19/35.00 (define @t293 () (and @t292 (not (= tptp.sz10 tptp.xp)) (forall @t95 (or @t124 @t284 @t174 (= @t6 tptp.xp))))) % 34.19/35.00 (define @t294 () (= @t108 @t293)) % 34.19/35.00 (define @t295 () (or @t242 @t294)) % 34.19/35.00 (define @t296 () (@list false false true false false)) % 34.19/35.00 (define @t297 () (and (= @t1 @t30) @t29)) % 34.19/35.00 (define @t298 () (= tptp.xn @t206)) % 34.19/35.00 (define @t299 () (and (= tptp.xn @t210) @t298)) % 34.19/35.00 (define @t300 () (or @t133 @t299)) % 34.19/35.00 (define @t301 () (= tptp.xn @t117)) % 34.19/35.00 (define @t302 () (and @t301 @t298 @t141 @t164)) % 34.19/35.00 (define @t303 () (not @t301)) % 34.19/35.00 (define @t304 () (not @t118)) % 34.19/35.00 (define @t305 () (@list tptp.xr @t139)) % 34.19/35.00 (define @t306 () (tptp.sdtasdt0 @t139 tptp.xr)) % 34.19/35.00 (define @t307 () (= @t140 @t306)) % 34.19/35.00 (define @t308 () (or @t134 @t144 @t307)) % 34.19/35.00 (define @t309 () (or @t125 @t124 @t47 @t71)) % 34.19/35.00 (define @t310 () (tptp.sdtlseqdt0 @t139 @t306)) % 34.19/35.00 (define @t311 () (or @t134 @t144 @t167 @t310)) % 34.19/35.00 (define @t312 () (forall @t10 @t309)) % 34.19/35.00 (define @t313 () (or @t134 @t144 @t170 @t310)) % 34.19/35.00 (define @t314 () (not @t310)) % 34.19/35.00 (define @t315 () (not @t307)) % 34.19/35.00 (define @t316 () (not @t164)) % 34.19/35.00 (define @t317 () (and @t304 @t141 @t164 @t307)) % 34.19/35.00 (assume @p1 (forall @t3 (=> @t2 true))) % 34.19/35.00 (assume @p2 @t4) % 34.19/35.00 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 34.19/35.00 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 34.19/35.00 (assume @p5 @t13) % 34.19/35.00 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t14)))) % 34.19/35.00 (assume @p7 (forall @t20 (=> @t19 (= @t17 (tptp.sdtpldt0 @t1 @t16))))) % 34.19/35.00 (assume @p8 @t25) % 34.19/35.00 (assume @p9 @t28) % 34.19/35.00 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t15)))))) % 34.19/35.00 (assume @p11 @t33) % 34.19/35.00 (assume @p12 @t38) % 34.19/35.00 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t40)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t26 @t39)))))) % 34.19/35.00 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t7 @t43) (= @t14 @t42)) @t41)))) % 34.19/35.00 (assume @p15 (forall @t3 (=> @t2 (=> @t48 (forall (@list @t6 @t15) (=> @t46 (=> (or @t45 @t44) @t41))))))) % 34.19/35.00 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t47 @t49))))) % 34.19/35.00 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t47 @t49))))) % 34.19/35.00 (assume @p18 (forall @t10 (=> @t9 (= @t52 (exists @t51 @t50))))) % 34.19/35.00 (assume @p19 (forall @t10 (=> @t9 (=> @t52 (forall @t51 (= (= @t15 (tptp.sdtmndt0 @t6 @t1)) @t50)))))) % 34.19/35.00 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.19/35.00 (assume @p21 (forall @t10 (=> @t9 (=> (and @t52 @t54) @t53)))) % 34.19/35.00 (assume @p22 (forall @t20 (=> @t19 (=> (and @t52 @t55) (tptp.sdtlseqdt0 @t1 @t15))))) % 34.19/35.00 (assume @p23 (forall @t10 (=> @t9 (or @t52 (and (not @t56) @t54))))) % 34.19/35.00 (assume @p24 (forall @t10 (=> @t9 (=> @t58 (forall @t51 (=> @t18 (and (not (= @t42 @t57)) (tptp.sdtlseqdt0 @t42 @t57) (not (= @t43 @t16)) (tptp.sdtlseqdt0 @t43 @t16)))))))) % 34.19/35.00 (assume @p25 @t63) % 34.19/35.00 (assume @p26 @t70) % 34.19/35.00 (assume @p27 @t73) % 34.19/35.00 (assume @p28 (forall @t10 (=> @t9 (=> @t74 true)))) % 34.19/35.00 (assume @p29 (forall @t10 (=> @t9 (=> @t58 @t74)))) % 34.19/35.00 (assume @p30 @t81) % 34.19/35.00 (assume @p31 @t88) % 34.19/35.00 (assume @p32 (forall @t20 (=> @t19 (=> (and @t78 (tptp.doDivides0 @t6 @t15)) @t89)))) % 34.19/35.00 (assume @p33 (forall @t20 (=> @t19 (=> (and @t78 @t89) @t90)))) % 34.19/35.00 (assume @p34 (forall @t20 (=> @t19 (=> (and @t78 @t90) @t89)))) % 34.19/35.00 (assume @p35 (forall @t10 (=> @t9 (=> (and @t78 (not @t49)) @t52)))) % 34.19/35.00 (assume @p36 (forall @t10 (=> @t9 (=> @t85 (forall @t51 (=> @t18 (= (tptp.sdtasdt0 @t15 @t82) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t6) @t1)))))))) % 34.19/35.00 (assume @p37 @t102) % 34.19/35.00 (assume @p38 (forall @t3 (=> (and @t2 @t48 @t97) (exists @t95 (and @t8 @t92 (tptp.isPrime0 @t6)))))) % 34.19/35.00 (assume @p39 (and @t105 @t104 @t103)) % 34.19/35.00 (assume @p40 (forall @t20 (=> @t19 (=> (and (tptp.isPrime0 @t15) (tptp.doDivides0 @t15 @t11)) (=> (tptp.iLess0 @t17 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t15 @t1) (tptp.doDivides0 @t15 @t6))))))) % 34.19/35.00 (assume @p41 (and @t108 @t107)) % 34.19/35.00 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 34.19/35.00 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 34.19/35.00 (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))) % 34.19/35.00 (assume @p45 (= tptp.xk @t109)) % 34.19/35.00 (assume @p46 @t113) % 34.19/35.00 (assume @p47 (and (not @t111) (not @t110))) % 34.19/35.00 (assume @p48 (and @t115 (tptp.doDivides0 tptp.xr tptp.xk) @t114)) % 34.19/35.00 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t106))) % 34.19/35.00 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 34.19/35.00 (assume @p51 (or @t116 (tptp.doDivides0 tptp.xr tptp.xm))) % 34.19/35.00 (assume @p52 @t116) % 34.19/35.00 (assume @p53 @t121) % 34.19/35.00 (assume @p54 true) % 34.19/35.00 (step @p55 :rule aci_norm :args ((= (or @t126 @t123) (or @t125 @t124 @t123)))) % 34.19/35.00 (step @p56 :rule refl :args (@t123)) % 34.19/35.00 (step @p57 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 34.19/35.00 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t127 @t123))) % 34.19/35.00 (step @p59 :rule trans :premises (@p58 @p55)) % 34.19/35.00 (step @p60 :rule bool-impl-elim :args (@t9 @t123)) % 34.19/35.00 (step @p61 :rule trans :premises (@p60 @p59)) % 34.19/35.00 (step @p62 :rule cong :premises (@p61) :args ((forall @t10 (=> @t9 @t123)))) % 34.19/35.00 (step @p63 :rule bool-and-de-morgan :args (@t18 @t75 true)) % 34.19/35.00 (step @p64 :rule cong :premises (@p63) :args (@t128)) % 34.19/35.00 (step @p65 :rule cong :premises (@p64) :args (@t129)) % 34.19/35.00 (step @p66 :rule exists-elim :args ((= @t77 @t129))) % 34.19/35.00 (step @p67 :rule trans :premises (@p66 @p65)) % 34.19/35.00 (step @p68 :rule refl :args (@t78)) % 34.19/35.00 (step @p69 :rule cong :premises (@p68 @p67) :args (@t79)) % 34.19/35.00 (step @p70 :rule refl :args (@t9)) % 34.19/35.00 (step @p71 :rule cong :premises (@p70 @p69) :args (@t80)) % 34.19/35.00 (step @p72 :rule cong :premises (@p71) :args (@t81)) % 34.19/35.00 (step @p73 :rule trans :premises (@p72 @p62)) % 34.19/35.00 (step @p74 :rule eq_resolve :premises (@p30 @p73)) % 34.19/35.00 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.xr tptp.xn))) % 34.19/35.00 (step @p76 :rule and_elim :premises (@p48) :args (0)) % 34.19/35.00 (step @p77 :rule and_elim :premises (@p39) :args (0)) % 34.19/35.00 (step @p78 :rule cnf_or_pos :args (@t135)) % 34.19/35.00 (step @p79 :rule reordering :premises (@p78) :args ((or @t133 @t134 @t132 (not @t135)))) % 34.19/35.00 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p76 @p75) :args (@t132 @t136 (@list @t105 @t115 @t135))) % 34.19/35.00 (step @p81 :rule cnf_equiv_pos1 :args (@t132)) % 34.19/35.00 (step @p82 :rule reordering :premises (@p81) :args ((or @t137 @t131 (not @t132)))) % 34.19/35.00 (step @p83 :rule chain_m_resolution :premises (@p82 @p52 @p80) :args (@t131 @t138 (@list @t116 @t132))) % 34.19/35.00 (step @p84 :rule skolemize :premises (@p83)) % 34.19/35.00 (step @p85 :rule bool-double-not-elim :args (@t141)) % 34.19/35.00 (step @p86 :rule refl :args (@t145)) % 34.19/35.00 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t145 (not @t142)))) % 34.19/35.00 (step @p88 :rule cnf_or_neg :args (@t145 1)) % 34.19/35.00 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 34.19/35.00 (step @p90 :rule reordering :premises (@p89) :args ((or @t141 @t145))) % 34.19/35.00 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t141 @t146 @t147)) % 34.19/35.00 (step @p92 :rule eq-symm :args (@t148 @t82)) % 34.19/35.00 (step @p93 :rule refl :args (@t149)) % 34.19/35.00 (step @p94 :rule cong :premises (@p93 @p92) :args (@t150)) % 34.19/35.00 (step @p95 :rule refl :args (@t151)) % 34.19/35.00 (step @p96 :rule refl :args (@t47)) % 34.19/35.00 (step @p97 :rule refl :args (@t124)) % 34.19/35.00 (step @p98 :rule refl :args (@t125)) % 34.19/35.00 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t152)) % 34.19/35.00 (step @p100 :rule cong :premises (@p99) :args (@t154)) % 34.19/35.00 (step @p101 :rule quant-merge-prenex :args ((= (forall @t10 @t156) @t154))) % 34.19/35.00 (step @p102 :rule alpha_equiv :args (@t157 (@list @t148) (@list @t15))) % 34.19/35.00 (step @p103 :rule refl :args (@t151)) % 34.19/35.00 (step @p104 :rule refl :args (@t47)) % 34.19/35.00 (step @p105 :rule refl :args (@t124)) % 34.19/35.00 (step @p106 :rule refl :args (@t125)) % 34.19/35.00 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p102) :args (@t158)) % 34.19/35.00 (step @p108 :rule quant-miniscope-or :args ((= @t156 @t158))) % 34.19/35.00 (step @p109 :rule trans :premises (@p108 @p107)) % 34.19/35.00 (step @p110 :rule symm :premises (@p109)) % 34.19/35.00 (step @p111 :rule cong :premises (@p110) :args ((forall @t10 @t160))) % 34.19/35.00 (step @p112 :rule trans :premises (@p111 @p101)) % 34.19/35.00 (step @p113 :rule trans :premises (@p112 @p100)) % 34.19/35.00 (step @p114 :rule aci_norm :args ((= (or @t126 @t161) @t160))) % 34.19/35.00 (step @p115 :rule aci_norm :args ((= (or (or @t47 @t151) @t159) @t161))) % 34.19/35.00 (step @p116 :rule refl :args (@t159)) % 34.19/35.00 (step @p117 :rule bool-double-not-elim :args (@t47)) % 34.19/35.00 (step @p118 :rule nary_cong :premises (@p117 @p103) :args ((or @t162 @t151))) % 34.19/35.00 (step @p119 :rule bool-and-de-morgan :args (@t48 @t78 true)) % 34.19/35.00 (step @p120 :rule trans :premises (@p119 @p118)) % 34.19/35.00 (step @p121 :rule nary_cong :premises (@p120 @p116) :args ((or (not @t85) @t159))) % 34.19/35.00 (step @p122 :rule trans :premises (@p121 @p115)) % 34.19/35.00 (step @p123 :rule bool-impl-elim :args (@t85 @t159)) % 34.19/35.00 (step @p124 :rule trans :premises (@p123 @p122)) % 34.19/35.00 (step @p125 :rule nary_cong :premises (@p57 @p124) :args ((or @t127 @t163))) % 34.19/35.00 (step @p126 :rule trans :premises (@p125 @p114)) % 34.19/35.00 (step @p127 :rule bool-impl-elim :args (@t9 @t163)) % 34.19/35.00 (step @p128 :rule trans :premises (@p127 @p126)) % 34.19/35.00 (step @p129 :rule cong :premises (@p128) :args ((forall @t10 (=> @t9 @t163)))) % 34.19/35.00 (step @p130 :rule trans :premises (@p129 @p113)) % 34.19/35.00 (step @p131 :rule eq-symm :args (@t83 @t76)) % 34.19/35.00 (step @p132 :rule cong :premises (@p131) :args (@t84)) % 34.19/35.00 (step @p133 :rule refl :args (@t85)) % 34.19/35.00 (step @p134 :rule cong :premises (@p133 @p132) :args (@t86)) % 34.19/35.00 (step @p135 :rule cong :premises (@p70 @p134) :args (@t87)) % 34.19/35.00 (step @p136 :rule cong :premises (@p135) :args (@t88)) % 34.19/35.00 (step @p137 :rule trans :premises (@p136 @p130)) % 34.19/35.00 (step @p138 :rule eq_resolve :premises (@p31 @p137)) % 34.19/35.00 (step @p139 :rule refl :args (@t166)) % 34.19/35.00 (step @p140 :rule refl :args (@t137)) % 34.19/35.00 (step @p141 :rule eq-symm :args (tptp.xr tptp.sz00)) % 34.19/35.00 (step @p142 :rule refl :args (@t133)) % 34.19/35.00 (step @p143 :rule refl :args (@t134)) % 34.19/35.00 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139) :args (@t168)) % 34.19/35.00 (step @p145 :rule refl :args (@t169)) % 34.19/35.00 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t169 @t168))) % 34.19/35.00 (assume-push @p721 @t169) % 34.19/35.00 (step @p148 :rule instantiate :premises (@p138) :args ((@list tptp.xr tptp.xn @t139))) % 34.19/35.00 (step-pop @p722 :rule scope :premises (@p148)) % 34.19/35.00 (step @p149 :rule process_scope :premises (@p722) :args (@t168)) % 34.19/35.00 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 34.19/35.00 (step @p152 :rule implies_elim :premises (@p151)) % 34.19/35.00 (step @p153 :rule chain_m_resolution :premises (@p152 @p138) :args (@t171 @t172 @t173)) % 34.19/35.00 (step @p154 :rule bool-impl-elim :args (@t2 @t177)) % 34.19/35.00 (step @p155 :rule cong :premises (@p154) :args ((forall @t3 (=> @t2 @t177)))) % 34.19/35.00 (step @p156 :rule aci_norm :args ((= (or (or @t124 @t175) @t178) @t176))) % 34.19/35.00 (step @p157 :rule refl :args (@t178)) % 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@t293)))) % 34.19/35.00 (step @p577 :rule chain_m_resolution :premises (@p576 @p574) :args (@t292 @t172 (@list @t293))) % 34.19/35.00 (step @p578 :rule and_elim :premises (@p41) :args (1)) % 34.19/35.00 (step @p579 :rule cnf_or_pos :args (@t282)) % 34.19/35.00 (step @p580 :rule reordering :premises (@p579) :args ((or @t242 @t275 @t281 @t277 @t280 (not @t282)))) % 34.19/35.00 (step @p581 :rule chain_m_resolution :premises (@p580 @p345 @p578 @p577 @p548 @p536) :args (@t280 @t296 (@list @t103 @t107 @t281 @t276 @t282))) % 34.19/35.00 (step @p582 :rule cnf_equiv_pos1 :args (@t280)) % 34.19/35.00 (step @p583 :rule reordering :premises (@p582) :args ((or @t267 (not @t273) (not @t280)))) % 34.19/35.00 (step @p584 :rule cnf_and_neg :args (@t273)) % 34.19/35.00 (step @p585 :rule reordering :premises (@p584) :args ((or @t133 @t273 (not @t262)))) % 34.19/35.00 (step @p586 :rule chain_m_resolution :premises (@p585 @p77 @p583 @p581 @p520 @p371 @p348 @p488 @p463 @p450 @p371 @p364 @p348 @p343 @p330) :args (@t258 (@list false true false false false false true true false false false false false false) (@list @t105 @t273 @t280 @t262 @t250 @t241 @t267 @t269 @t259 @t250 @t245 @t241 @t236 @t228))) % 34.19/35.00 (step @p587 :rule and_elim :premises (@p3) :args (0)) % 34.19/35.00 (step @p588 :rule cnf_or_pos :args (@t218)) % 34.19/35.00 (step @p589 :rule reordering :premises (@p588) :args ((or @t214 @t133 @t134 @t217 @t190 @t213 @t211 (not @t218)))) % 34.19/35.00 (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p77 @p76 @p586 @p300 @p306 @p271) :args (@t211 (@list false false false true true false false) (@list @t5 @t105 @t115 @t217 @t190 @t212 @t218))) % 34.19/35.00 (step @p591 :rule cnf_and_pos :args (@t211 2)) % 34.19/35.00 (step @p592 :rule reordering :premises (@p591) :args ((or @t208 (not @t211)))) % 34.19/35.00 (step @p593 :rule chain_m_resolution :premises (@p592 @p590) :args (@t208 @t172 (@list @t211))) % 34.19/35.00 (step @p594 :rule bool-impl-elim :args (@t2 @t297)) % 34.19/35.00 (step @p595 :rule cong :premises (@p594) :args ((forall @t3 (=> @t2 @t297)))) % 34.19/35.00 (step @p596 :rule refl :args (@t29)) % 34.19/35.00 (step @p597 :rule eq-symm :args (@t30 @t1)) % 34.19/35.00 (step @p598 :rule nary_cong :premises (@p597 @p596) :args (@t31)) % 34.19/35.00 (step @p599 :rule cong :premises (@p176 @p598) :args (@t32)) % 34.19/35.00 (step @p600 :rule cong :premises (@p599) :args (@t33)) % 34.19/35.00 (step @p601 :rule trans :premises (@p600 @p595)) % 34.19/35.00 (step @p602 :rule eq_resolve :premises (@p11 @p601)) % 34.19/35.00 (step @p603 :rule instantiate :premises (@p602) :args ((@list tptp.xn))) % 34.19/35.00 (step @p604 :rule cnf_or_pos :args (@t300)) % 34.19/35.00 (step @p605 :rule reordering :premises (@p604) :args ((or @t133 @t299 (not @t300)))) % 34.19/35.00 (step @p606 :rule chain_m_resolution :premises (@p605 @p77 @p603) :args (@t299 @t138 (@list @t105 @t300))) % 34.19/35.00 (step @p607 :rule cnf_and_pos :args (@t299 1)) % 34.19/35.00 (step @p608 :rule reordering :premises (@p607) :args ((or @t298 (not @t299)))) % 34.19/35.00 (step @p609 :rule chain_m_resolution :premises (@p608 @p606) :args (@t298 @t172 (@list @t299))) % 34.19/35.00 (assume-push @p801 @t301) % 34.19/35.00 (assume-push @p802 @t298) % 34.19/35.00 (assume-push @p803 @t141) % 34.19/35.00 (assume-push @p804 @t164) % 34.19/35.00 (assume-push @p805 @t301) % 34.19/35.00 (assume-push @p806 @t164) % 34.19/35.00 (assume-push @p807 @t141) % 34.19/35.00 (assume-push @p808 @t298) % 34.19/35.00 (step @p618 :rule symm :premises (@p801)) % 34.19/35.00 (step @p619 :rule symm :premises (@p226)) % 34.19/35.00 (step @p620 :rule trans :premises (@p619 @p618)) % 34.19/35.00 (step @p621 :rule refl :args (tptp.xr)) % 34.19/35.00 (step @p622 :rule cong :premises (@p621 @p620) :args (@t140)) % 34.19/35.00 (step @p623 :rule symm :premises (@p609)) % 34.19/35.00 (step @p624 :rule trans :premises (@p623 @p91 @p622)) % 34.19/35.00 (step-pop @p809 :rule scope :premises (@p624)) % 34.19/35.00 (step-pop @p810 :rule scope :premises (@p809)) % 34.19/35.00 (step-pop @p811 :rule scope :premises (@p810)) % 34.19/35.00 (step-pop @p812 :rule scope :premises (@p811)) % 34.19/35.00 (step @p625 :rule process_scope :premises (@p812) :args (@t207)) % 34.19/35.00 (step @p630 :rule and_intro :premises (@p801 @p226 @p91 @p609)) % 34.19/35.00 (step @p631 :rule modus_ponens :premises (@p630 @p625)) % 34.19/35.00 (step-pop @p813 :rule scope :premises (@p631)) % 34.19/35.00 (step-pop @p814 :rule scope :premises (@p813)) % 34.19/35.00 (step-pop @p815 :rule scope :premises (@p814)) % 34.19/35.00 (step-pop @p816 :rule scope :premises (@p815)) % 34.19/35.00 (step @p632 :rule process_scope :premises (@p816) :args (@t207)) % 34.19/35.00 (step @p637 :rule implies_elim :premises (@p632)) % 34.19/35.00 (step @p638 :rule cnf_and_neg :args (@t302)) % 34.19/35.00 (step @p639 :rule resolution :premises (@p638 @p637) :args (true @t302)) % 34.19/35.00 (step @p640 :rule chain_m_resolution :premises (@p639 @p609 @p91 @p226 @p593) :args (@t303 (@list false false false true) (@list @t298 @t141 @t164 @t207))) % 34.19/35.00 (step @p641 :rule refl :args (@t304)) % 34.19/35.00 (step @p642 :rule bool-double-not-elim :args (@t301)) % 34.19/35.00 (step @p643 :rule nary_cong :premises (@p642 @p641) :args ((or (not @t303) @t304))) % 34.19/35.00 (step @p644 :rule refl :args (@t118)) % 34.19/35.00 (step @p645 :rule eq-symm :args (@t117 tptp.xn)) % 34.19/35.00 (step @p646 :rule cong :premises (@p645) :args (@t119)) % 34.19/35.00 (step @p647 :rule nary_cong :premises (@p646 @p644) :args (@t120)) % 34.19/35.00 (step @p648 :rule cong :premises (@p647) :args (@t121)) % 34.19/35.00 (step @p649 :rule eq_resolve :premises (@p53 @p648)) % 34.19/35.00 (step @p650 :rule not_and :premises (@p649)) % 34.19/35.00 (step @p651 :rule eq_resolve :premises (@p650 @p643)) % 34.19/35.00 (step @p652 :rule chain_m_resolution :premises (@p651 @p640) :args (@t304 @t146 (@list @t301))) % 34.19/35.00 (step @p653 :rule instantiate :premises (@p338) :args (@t305)) % 34.19/35.00 (step @p654 :rule cnf_or_pos :args (@t308)) % 34.19/35.00 (step @p655 :rule reordering :premises (@p654) :args ((or @t134 @t144 @t307 (not @t308)))) % 34.19/35.00 (step @p656 :rule chain_m_resolution :premises (@p655 @p76 @p220 @p653) :args (@t307 @t136 (@list @t115 @t143 @t308))) % 34.19/35.00 (step @p657 :rule aci_norm :args ((= (or @t126 (or @t47 @t71)) @t309))) % 34.19/35.00 (step @p658 :rule refl :args (@t71)) % 34.19/35.00 (step @p659 :rule nary_cong :premises (@p117 @p658) :args ((or @t162 @t71))) % 34.19/35.00 (step @p660 :rule bool-impl-elim :args (@t48 @t71)) % 34.19/35.00 (step @p661 :rule trans :premises (@p660 @p659)) % 34.19/35.00 (step @p662 :rule nary_cong :premises (@p57 @p661) :args ((or @t127 @t72))) % 34.19/35.00 (step @p663 :rule trans :premises (@p662 @p657)) % 34.19/35.00 (step @p664 :rule bool-impl-elim :args (@t9 @t72)) % 34.19/35.00 (step @p665 :rule trans :premises (@p664 @p663)) % 34.19/35.00 (step @p666 :rule cong :premises (@p665) :args (@t73)) % 34.19/35.00 (step @p667 :rule eq_resolve :premises (@p27 @p666)) % 34.19/35.00 (step @p668 :rule refl :args (@t310)) % 34.19/35.01 (step @p669 :rule refl :args (@t144)) % 34.19/35.01 (step @p670 :rule nary_cong :premises (@p143 @p669 @p141 @p668) :args (@t311)) % 34.19/35.01 (step @p671 :rule refl :args (@t312)) % 34.19/35.01 (step @p672 :rule cong :premises (@p671 @p670) :args ((=> @t312 @t311))) % 34.19/35.01 (assume-push @p817 @t312) % 34.19/35.01 (step @p674 :rule instantiate :premises (@p667) :args (@t305)) % 34.19/35.01 (step-pop @p818 :rule scope :premises (@p674)) % 34.19/35.01 (step @p675 :rule process_scope :premises (@p818) :args (@t311)) % 34.19/35.01 (step @p677 :rule eq_resolve :premises (@p675 @p672)) % 34.19/35.01 (step @p678 :rule implies_elim :premises (@p677)) % 34.19/35.01 (step @p679 :rule chain_m_resolution :premises (@p678 @p667) :args (@t313 @t172 (@list @t312))) % 34.19/35.01 (step @p680 :rule cnf_or_pos :args (@t313)) % 34.19/35.01 (step @p681 :rule reordering :premises (@p680) :args ((or @t134 @t170 @t144 @t310 (not @t313)))) % 34.19/35.01 (step @p682 :rule chain_m_resolution :premises (@p681 @p76 @p211 @p220 @p679) :args (@t310 (@list false true false false) (@list @t115 @t170 @t143 @t313))) % 34.19/35.01 (step @p683 :rule refl :args (@t314)) % 34.19/35.01 (step @p684 :rule refl :args (@t315)) % 34.19/35.01 (step @p685 :rule refl :args (@t316)) % 34.19/35.01 (step @p686 :rule refl :args (@t142)) % 34.19/35.01 (step @p687 :rule bool-double-not-elim :args (@t118)) % 34.19/35.01 (step @p688 :rule nary_cong :premises (@p687 @p686 @p685 @p684 @p683) :args ((or (not @t304) @t142 @t316 @t315 @t314))) % 34.19/35.01 (assume-push @p819 @t304) % 34.19/35.01 (assume-push @p820 @t141) % 34.19/35.01 (assume-push @p821 @t164) % 34.19/35.01 (assume-push @p822 @t307) % 34.19/35.01 (assume-push @p823 @t304) % 34.19/35.01 (assume-push @p824 @t164) % 34.19/35.01 (assume-push @p825 @t141) % 34.19/35.01 (assume-push @p826 @t307) % 34.19/35.01 (step @p697 :rule false_intro :premises (@p819)) % 34.19/35.01 (step @p698 :rule symm :premises (@p91)) % 34.19/35.01 (step @p699 :rule symm :premises (@p656)) % 34.19/35.01 (step @p700 :rule trans :premises (@p699 @p698)) % 34.19/35.01 (step @p619 :rule symm :premises (@p226)) % 34.19/35.01 (step @p701 :rule cong :premises (@p619 @p700) :args (@t310)) % 34.19/35.01 (step @p702 :rule trans :premises (@p701 @p697)) % 34.19/35.01 (step @p703 :rule false_elim :premises (@p702)) % 34.19/35.01 (step-pop @p827 :rule scope :premises (@p703)) % 34.19/35.01 (step-pop @p828 :rule scope :premises (@p827)) % 34.19/35.01 (step-pop @p829 :rule scope :premises (@p828)) % 34.19/35.01 (step-pop @p830 :rule scope :premises (@p829)) % 34.19/35.01 (step @p704 :rule process_scope :premises (@p830) :args (@t314)) % 34.19/35.01 (step @p709 :rule and_intro :premises (@p819 @p226 @p91 @p656)) % 34.19/35.01 (step @p710 :rule modus_ponens :premises (@p709 @p704)) % 34.19/35.01 (step-pop @p831 :rule scope :premises (@p710)) % 34.19/35.01 (step-pop @p832 :rule scope :premises (@p831)) % 34.19/35.01 (step-pop @p833 :rule scope :premises (@p832)) % 34.19/35.01 (step-pop @p834 :rule scope :premises (@p833)) % 34.19/35.01 (step @p711 :rule process_scope :premises (@p834) :args (@t314)) % 34.19/35.01 (step @p716 :rule implies_elim :premises (@p711)) % 34.19/35.01 (step @p717 :rule cnf_and_neg :args (@t317)) % 34.19/35.01 (step @p718 :rule resolution :premises (@p717 @p716) :args (true @t317)) % 34.19/35.01 (step @p719 :rule eq_resolve :premises (@p718 @p688)) % 34.19/35.01 (step @p720 false :rule chain_m_resolution :premises (@p719 @p682 @p656 @p652 @p226 @p91) :args (false @t296 (@list @t310 @t307 @t118 @t164 @t141))) % 34.19/35.01 ) % 34.19/35.01 % SZS output end Proof % 34.19/35.01 % cvc5 exiting %------------------------------------------------------------------------------