%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM517+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 : 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 08:39:41 AM UTC 2026 % Result : Theorem 37.35s 37.53s % Output : Proof 37.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM517+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 : 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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:26:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 37.35/37.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.35/37.53 --- Run --no-e-matching --full-saturate-quant at 6... % 37.35/37.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.35/37.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.35/37.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.35/37.53 % SZS status Theorem % 37.35/37.53 % SZS output start Proof % 37.35/37.53 ( % 37.35/37.53 (declare-sort $$unsorted 0) % 37.35/37.53 (declare-const tptp.xr $$unsorted) % 37.35/37.53 (declare-const tptp.xk $$unsorted) % 37.35/37.53 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 37.35/37.53 (declare-const tptp.xm $$unsorted) % 37.35/37.53 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 37.35/37.53 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 37.35/37.53 (declare-const tptp.xn $$unsorted) % 37.35/37.53 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 37.35/37.53 (declare-const tptp.sz00 $$unsorted) % 37.35/37.53 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 37.35/37.53 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 37.35/37.53 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 37.35/37.53 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 37.35/37.53 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 37.35/37.53 (declare-const tptp.sz10 $$unsorted) % 37.35/37.53 (declare-const tptp.xp $$unsorted) % 37.35/37.53 (define @t1 () (@var "W0" $$unsorted)) % 37.35/37.53 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 37.35/37.53 (define @t3 () (@list @t1)) % 37.35/37.53 (define @t4 () (@var "W1" $$unsorted)) % 37.35/37.53 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 37.35/37.53 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 37.35/37.53 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 37.35/37.53 (define @t8 () (and @t2 @t7)) % 37.35/37.53 (define @t9 () (@list @t1 @t4)) % 37.35/37.53 (define @t10 () (forall @t9 (=> @t8 @t6))) % 37.35/37.53 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 37.35/37.53 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 37.35/37.53 (define @t13 () (= @t5 @t12)) % 37.35/37.53 (define @t14 () (forall @t9 (=> @t8 @t13))) % 37.35/37.53 (define @t15 () (@var "W2" $$unsorted)) % 37.35/37.53 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 37.35/37.53 (define @t17 () (tptp.sdtpldt0 @t5 @t15)) % 37.35/37.53 (define @t18 () (tptp.aNaturalNumber0 @t15)) % 37.35/37.53 (define @t19 () (and @t2 @t7 @t18)) % 37.35/37.53 (define @t20 () (@list @t1 @t4 @t15)) % 37.35/37.53 (define @t21 () (tptp.sdtasdt0 @t4 @t1)) % 37.35/37.53 (define @t22 () (= @t11 @t21)) % 37.35/37.53 (define @t23 () (forall @t9 (=> @t8 @t22))) % 37.35/37.53 (define @t24 () (tptp.sdtasdt0 @t15 @t1)) % 37.35/37.53 (define @t25 () (tptp.sdtasdt0 @t1 @t15)) % 37.35/37.53 (define @t26 () (= @t4 @t15)) % 37.35/37.53 (define @t27 () (tptp.sdtpldt0 @t15 @t1)) % 37.35/37.53 (define @t28 () (tptp.sdtpldt0 @t1 @t15)) % 37.35/37.53 (define @t29 () (= @t21 @t24)) % 37.35/37.53 (define @t30 () (= @t11 @t25)) % 37.35/37.53 (define @t31 () (and @t7 @t18)) % 37.35/37.53 (define @t32 () (= @t1 tptp.sz00)) % 37.35/37.53 (define @t33 () (not @t32)) % 37.35/37.53 (define @t34 () (= @t4 tptp.sz00)) % 37.35/37.53 (define @t35 () (and @t18 (= @t28 @t4))) % 37.35/37.53 (define @t36 () (@list @t15)) % 37.35/37.53 (define @t37 () (tptp.sdtlseqdt0 @t1 @t4)) % 37.35/37.53 (define @t38 () (= @t1 @t4)) % 37.35/37.53 (define @t39 () (tptp.sdtlseqdt0 @t4 @t1)) % 37.35/37.53 (define @t40 () (tptp.sdtlseqdt0 @t4 @t15)) % 37.35/37.53 (define @t41 () (= @t4 @t1)) % 37.35/37.53 (define @t42 () (tptp.sdtpldt0 @t15 @t4)) % 37.35/37.53 (define @t43 () (not @t38)) % 37.35/37.53 (define @t44 () (and @t43 @t37)) % 37.35/37.53 (define @t45 () (= @t1 tptp.sz10)) % 37.35/37.53 (define @t46 () (tptp.iLess0 @t1 @t4)) % 37.35/37.53 (define @t47 () (=> @t44 @t46)) % 37.35/37.53 (define @t48 () (forall @t9 (=> @t8 @t47))) % 37.35/37.53 (define @t49 () (and @t18 (= @t4 @t25))) % 37.35/37.53 (define @t50 () (tptp.doDivides0 @t1 @t4)) % 37.35/37.53 (define @t51 () (tptp.sdtsldt0 @t4 @t1)) % 37.35/37.53 (define @t52 () (and @t33 @t50)) % 37.35/37.53 (define @t53 () (tptp.doDivides0 @t1 @t15)) % 37.35/37.53 (define @t54 () (tptp.doDivides0 @t1 @t16)) % 37.35/37.53 (define @t55 () (tptp.doDivides0 @t4 @t1)) % 37.35/37.53 (define @t56 () (@list @t4)) % 37.35/37.53 (define @t57 () (not @t45)) % 37.35/37.53 (define @t58 () (tptp.aNaturalNumber0 tptp.xp)) % 37.35/37.53 (define @t59 () (tptp.aNaturalNumber0 tptp.xm)) % 37.35/37.53 (define @t60 () (tptp.aNaturalNumber0 tptp.xn)) % 37.35/37.53 (define @t61 () (tptp.doDivides0 @t15 @t4)) % 37.35/37.53 (define @t62 () (@var "W3" $$unsorted)) % 37.35/37.53 (define @t63 () (tptp.sdtasdt0 @t15 @t62)) % 37.35/37.53 (define @t64 () (= @t4 @t63)) % 37.35/37.53 (define @t65 () (tptp.aNaturalNumber0 @t62)) % 37.35/37.53 (define @t66 () (and @t65 @t64)) % 37.35/37.53 (define @t67 () (@list @t62)) % 37.35/37.53 (define @t68 () (exists @t67 @t66)) % 37.35/37.53 (define @t69 () (and @t68 @t61)) % 37.35/37.53 (define @t70 () (tptp.doDivides0 @t15 @t1)) % 37.35/37.53 (define @t71 () (= @t1 @t63)) % 37.35/37.53 (define @t72 () (and @t65 @t71)) % 37.35/37.53 (define @t73 () (exists @t67 @t72)) % 37.35/37.53 (define @t74 () (and @t73 @t70)) % 37.35/37.53 (define @t75 () (or @t74 @t69)) % 37.35/37.53 (define @t76 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 37.35/37.53 (define @t77 () (tptp.sdtpldt0 @t76 tptp.xp)) % 37.35/37.53 (define @t78 () (tptp.iLess0 @t17 @t77)) % 37.35/37.53 (define @t79 () (=> @t78 @t75)) % 37.35/37.53 (define @t80 () (tptp.doDivides0 @t15 @t11)) % 37.35/37.53 (define @t81 () (= @t11 @t63)) % 37.35/37.53 (define @t82 () (and @t65 @t81)) % 37.35/37.53 (define @t83 () (exists @t67 @t82)) % 37.35/37.53 (define @t84 () (or @t83 @t80)) % 37.35/37.53 (define @t85 () (tptp.isPrime0 @t15)) % 37.35/37.53 (define @t86 () (or (= @t62 tptp.sz10) (= @t62 @t15))) % 37.35/37.53 (define @t87 () (tptp.doDivides0 @t62 @t15)) % 37.35/37.53 (define @t88 () (@var "W4" $$unsorted)) % 37.35/37.53 (define @t89 () (= @t15 (tptp.sdtasdt0 @t62 @t88))) % 37.35/37.53 (define @t90 () (tptp.aNaturalNumber0 @t88)) % 37.35/37.53 (define @t91 () (and @t90 @t89)) % 37.35/37.53 (define @t92 () (@list @t88)) % 37.35/37.53 (define @t93 () (exists @t92 @t91)) % 37.35/37.53 (define @t94 () (and @t65 @t93 @t87)) % 37.35/37.53 (define @t95 () (=> @t94 @t86)) % 37.35/37.53 (define @t96 () (forall @t67 @t95)) % 37.35/37.53 (define @t97 () (not (= @t15 tptp.sz10))) % 37.35/37.53 (define @t98 () (not (= @t15 tptp.sz00))) % 37.35/37.53 (define @t99 () (and @t98 @t97 @t96)) % 37.35/37.53 (define @t100 () (or @t99 @t85)) % 37.35/37.53 (define @t101 () (and @t100 @t84)) % 37.35/37.53 (define @t102 () (=> @t101 @t79)) % 37.35/37.53 (define @t103 () (=> @t19 @t102)) % 37.35/37.53 (define @t104 () (forall @t20 @t103)) % 37.35/37.53 (define @t105 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 37.35/37.53 (define @t106 () (tptp.sdtasdt0 tptp.xp @t1)) % 37.35/37.53 (define @t107 () (tptp.isPrime0 tptp.xp)) % 37.35/37.53 (define @t108 () (tptp.sdtpldt0 tptp.xp @t1)) % 37.35/37.53 (define @t109 () (tptp.sdtpldt0 tptp.xn @t1)) % 37.35/37.53 (define @t110 () (and @t2 (= @t109 tptp.xp))) % 37.35/37.53 (define @t111 () (exists @t3 @t110)) % 37.35/37.53 (define @t112 () (= tptp.xk tptp.sz10)) % 37.35/37.53 (define @t113 () (= tptp.xk tptp.sz00)) % 37.35/37.53 (define @t114 () (tptp.sdtasdt0 tptp.xr @t1)) % 37.35/37.53 (define @t115 () (and (exists @t3 (and @t2 (= tptp.xn @t114))) (tptp.doDivides0 tptp.xr tptp.xn))) % 37.35/37.53 (define @t116 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 37.35/37.53 (define @t117 () (= tptp.xn (tptp.sdtasdt0 tptp.xr @t116))) % 37.35/37.53 (define @t118 () (tptp.aNaturalNumber0 @t116)) % 37.35/37.53 (define @t119 () (and @t118 @t117)) % 37.35/37.53 (define @t120 () (=> @t119 (= @t116 tptp.xn))) % 37.35/37.53 (define @t121 () (not @t120)) % 37.35/37.53 (define @t122 () (tptp.sdtasdt0 @t116 tptp.xm)) % 37.35/37.53 (define @t123 () (tptp.sdtpldt0 @t116 tptp.xm)) % 37.35/37.53 (define @t124 () (tptp.sdtpldt0 @t123 tptp.xp)) % 37.35/37.53 (define @t125 () (tptp.sdtlseqdt0 @t124 @t77)) % 37.35/37.53 (define @t126 () (= @t124 @t77)) % 37.35/37.53 (define @t127 () (=> @t119 @t126)) % 37.35/37.53 (define @t128 () (not @t127)) % 37.35/37.53 (define @t129 () (tptp.doDivides0 tptp.xp tptp.xm)) % 37.35/37.53 (define @t130 () (= tptp.xm @t106)) % 37.35/37.53 (define @t131 () (and @t2 @t130)) % 37.35/37.53 (define @t132 () (exists @t3 @t131)) % 37.35/37.53 (define @t133 () (tptp.doDivides0 tptp.xp @t116)) % 37.35/37.53 (define @t134 () (and @t2 (= @t116 @t106))) % 37.35/37.53 (define @t135 () (exists @t3 @t134)) % 37.35/37.53 (define @t136 () (or @t135 @t133)) % 37.35/37.53 (define @t137 () (=> @t119 @t136)) % 37.35/37.53 (define @t138 () (or @t137 @t132 @t129)) % 37.35/37.53 (define @t139 () (not @t138)) % 37.35/37.53 (define @t140 () (not @t7)) % 37.35/37.53 (define @t141 () (not @t2)) % 37.35/37.53 (define @t142 () (or @t141 @t140)) % 37.35/37.53 (define @t143 () (not @t8)) % 37.35/37.53 (define @t144 () (@list @t116 tptp.xm)) % 37.35/37.53 (define @t145 () (tptp.sdtasdt0 tptp.xm @t116)) % 37.35/37.53 (define @t146 () (= @t122 @t145)) % 37.35/37.53 (define @t147 () (not @t59)) % 37.35/37.53 (define @t148 () (not @t118)) % 37.35/37.53 (define @t149 () (or @t148 @t147 @t146)) % 37.35/37.53 (define @t150 () (@list false false false)) % 37.35/37.53 (define @t151 () (tptp.doDivides0 tptp.xp @t145)) % 37.35/37.53 (define @t152 () (not @t65)) % 37.35/37.53 (define @t153 () (and (not (forall @t67 (or @t152 (not @t64)))) @t61)) % 37.35/37.53 (define @t154 () (and (not (forall @t67 (or @t152 (not @t71)))) @t70)) % 37.35/37.53 (define @t155 () (not @t78)) % 37.35/37.53 (define @t156 () (not @t80)) % 37.35/37.53 (define @t157 () (@var "BOUND_VARIABLE_8374" $$unsorted)) % 37.35/37.53 (define @t158 () (or (not (tptp.aNaturalNumber0 @t157)) (not (= @t11 (tptp.sdtasdt0 @t15 @t157))))) % 37.35/37.53 (define @t159 () (and @t158 @t156)) % 37.35/37.53 (define @t160 () (not @t85)) % 37.35/37.53 (define @t161 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 37.35/37.53 (define @t162 () (tptp.sdtasdt0 @t62 @t161)) % 37.35/37.53 (define @t163 () (not (= @t15 @t162))) % 37.35/37.53 (define @t164 () (not (tptp.aNaturalNumber0 @t161))) % 37.35/37.53 (define @t165 () (= @t15 @t62)) % 37.35/37.53 (define @t166 () (= tptp.sz10 @t62)) % 37.35/37.53 (define @t167 () (not @t87)) % 37.35/37.53 (define @t168 () (or @t152 @t167 @t166 @t165 @t164 @t163)) % 37.35/37.53 (define @t169 () (@list @t62 @t161)) % 37.35/37.53 (define @t170 () (forall @t169 @t168)) % 37.35/37.53 (define @t171 () (not @t170)) % 37.35/37.53 (define @t172 () (= tptp.sz10 @t15)) % 37.35/37.53 (define @t173 () (= tptp.sz00 @t15)) % 37.35/37.53 (define @t174 () (and (or @t173 @t172 @t171) @t160)) % 37.35/37.53 (define @t175 () (not @t18)) % 37.35/37.53 (define @t176 () (or @t141 @t140 @t175 @t174 @t159 @t155 @t154 @t153)) % 37.35/37.53 (define @t177 () (forall (@list @t1 @t4 @t15 @t157) @t176)) % 37.35/37.53 (define @t178 () (@list @t157)) % 37.35/37.53 (define @t179 () (forall @t178 @t176)) % 37.35/37.53 (define @t180 () (forall @t178 @t156)) % 37.35/37.53 (define @t181 () (forall @t178 @t158)) % 37.35/37.53 (define @t182 () (and @t181 @t180)) % 37.35/37.53 (define @t183 () (forall @t178 @t159)) % 37.35/37.53 (define @t184 () (or @t141 @t140 @t175 @t174 @t183 @t155 @t154 @t153)) % 37.35/37.53 (define @t185 () (forall @t67 (or @t152 (not @t81)))) % 37.35/37.53 (define @t186 () (and @t185 @t156)) % 37.35/37.53 (define @t187 () (or @t141 @t140 @t175 @t174 @t186 @t155 @t154 @t153)) % 37.35/37.53 (define @t188 () (or @t174 @t186 @t155 @t154 @t153)) % 37.35/37.53 (define @t189 () (or @t141 @t140 @t175)) % 37.35/37.53 (define @t190 () (or @t155 @t154 @t153)) % 37.35/37.53 (define @t191 () (or @t154 @t153)) % 37.35/37.53 (define @t192 () (not @t185)) % 37.35/37.53 (define @t193 () (not @t172)) % 37.35/37.53 (define @t194 () (not @t193)) % 37.35/37.53 (define @t195 () (not @t173)) % 37.35/37.53 (define @t196 () (not @t195)) % 37.35/37.53 (define @t197 () (or @t196 @t194 @t171)) % 37.35/37.53 (define @t198 () (and @t195 @t193 @t170)) % 37.35/37.53 (define @t199 () (or @t192 @t80)) % 37.35/37.53 (define @t200 () (or @t198 @t85)) % 37.35/37.53 (define @t201 () (=> @t78 @t191)) % 37.35/37.53 (define @t202 () (and @t200 @t199)) % 37.35/37.53 (define @t203 () (=> @t202 @t201)) % 37.35/37.53 (define @t204 () (forall @t67 (not @t66))) % 37.35/37.53 (define @t205 () (not @t204)) % 37.35/37.53 (define @t206 () (forall @t67 (not @t72))) % 37.35/37.53 (define @t207 () (not @t206)) % 37.35/37.53 (define @t208 () (forall @t67 (not @t82))) % 37.35/37.53 (define @t209 () (not @t208)) % 37.35/37.53 (define @t210 () (or @t164 @t163)) % 37.35/37.53 (define @t211 () (or @t152 @t210 @t167 @t166 @t165)) % 37.35/37.53 (define @t212 () (forall @t169 @t211)) % 37.35/37.53 (define @t213 () (@list @t161)) % 37.35/37.53 (define @t214 () (forall @t213 @t211)) % 37.35/37.53 (define @t215 () (forall @t213 @t210)) % 37.35/37.53 (define @t216 () (or @t152 @t215 @t167 @t166 @t165)) % 37.35/37.53 (define @t217 () (forall @t92 (or (not @t90) (not @t89)))) % 37.35/37.53 (define @t218 () (or @t152 @t217 @t167 @t166 @t165)) % 37.35/37.53 (define @t219 () (or @t166 @t165)) % 37.35/37.53 (define @t220 () (not @t217)) % 37.35/37.53 (define @t221 () (not @t220)) % 37.35/37.53 (define @t222 () (or @t152 @t221 @t167)) % 37.35/37.53 (define @t223 () (and @t65 @t220 @t87)) % 37.35/37.53 (define @t224 () (forall @t92 (not @t91))) % 37.35/37.53 (define @t225 () (not @t224)) % 37.35/37.53 (define @t226 () (tptp.sdtasdt0 tptp.xp @t62)) % 37.35/37.53 (define @t227 () (and (not (forall @t67 (or @t152 (not (= @t116 @t226))))) @t133)) % 37.35/37.53 (define @t228 () (and (not (forall @t67 (or @t152 (not (= tptp.xm @t226))))) @t129)) % 37.35/37.53 (define @t229 () (tptp.sdtpldt0 tptp.xm @t116)) % 37.35/37.53 (define @t230 () (tptp.sdtpldt0 @t229 tptp.xp)) % 37.35/37.53 (define @t231 () (tptp.iLess0 @t230 @t77)) % 37.35/37.53 (define @t232 () (not @t231)) % 37.35/37.53 (define @t233 () (not @t151)) % 37.35/37.53 (define @t234 () (tptp.sdtasdt0 tptp.xp tptp.xn)) % 37.35/37.53 (define @t235 () (not (= @t145 @t234))) % 37.35/37.53 (define @t236 () (not @t60)) % 37.35/37.53 (define @t237 () (or @t236 @t235)) % 37.35/37.53 (define @t238 () (and @t237 @t233)) % 37.35/37.53 (define @t239 () (not @t107)) % 37.35/37.53 (define @t240 () (and (or (= tptp.sz00 tptp.xp) (= tptp.sz10 tptp.xp) (not (forall @t169 (or @t152 (not (tptp.doDivides0 @t62 tptp.xp)) @t166 (= tptp.xp @t62) @t164 (not (= tptp.xp @t162)))))) @t239)) % 37.35/37.53 (define @t241 () (not @t58)) % 37.35/37.53 (define @t242 () (or @t147 @t148 @t241 @t240 @t238 @t232 @t228 @t227)) % 37.35/37.53 (define @t243 () (and (or @t236 (not (= @t234 @t145))) @t233)) % 37.35/37.53 (define @t244 () (or @t147 @t148 @t241 @t240 @t243 @t232 @t228 @t227)) % 37.35/37.53 (define @t245 () (@list false)) % 37.35/37.53 (define @t246 () (forall @t3 (not @t131))) % 37.35/37.53 (define @t247 () (not @t246)) % 37.35/37.53 (define @t248 () (= @t106 @t116)) % 37.35/37.53 (define @t249 () (and @t2 @t248)) % 37.35/37.53 (define @t250 () (forall @t3 (not @t249))) % 37.35/37.53 (define @t251 () (not @t250)) % 37.35/37.53 (define @t252 () (not @t227)) % 37.35/37.53 (define @t253 () (@list true)) % 37.35/37.53 (define @t254 () (not @t228)) % 37.35/37.53 (define @t255 () (not @t37)) % 37.35/37.53 (define @t256 () (or @t141 @t140 @t38 @t255 @t46)) % 37.35/37.53 (define @t257 () (or @t38 @t255 @t46)) % 37.35/37.53 (define @t258 () (tptp.iLess0 @t124 @t77)) % 37.35/37.53 (define @t259 () (not @t125)) % 37.35/37.53 (define @t260 () (tptp.aNaturalNumber0 @t77)) % 37.35/37.53 (define @t261 () (not @t260)) % 37.35/37.53 (define @t262 () (tptp.aNaturalNumber0 @t124)) % 37.35/37.53 (define @t263 () (not @t262)) % 37.35/37.53 (define @t264 () (or @t263 @t261 @t126 @t259 @t258)) % 37.35/37.53 (define @t265 () (forall @t9 @t256)) % 37.35/37.53 (define @t266 () (= @t77 @t124)) % 37.35/37.53 (define @t267 () (or @t263 @t261 @t266 @t259 @t258)) % 37.35/37.53 (define @t268 () (tptp.aNaturalNumber0 @t76)) % 37.35/37.53 (define @t269 () (or @t236 @t147 @t268)) % 37.35/37.53 (define @t270 () (not @t268)) % 37.35/37.53 (define @t271 () (or @t270 @t241 @t260)) % 37.35/37.53 (define @t272 () (tptp.aNaturalNumber0 @t123)) % 37.35/37.53 (define @t273 () (or @t148 @t147 @t272)) % 37.35/37.53 (define @t274 () (not @t272)) % 37.35/37.53 (define @t275 () (or @t274 @t241 @t262)) % 37.35/37.53 (define @t276 () (= tptp.xp @t109)) % 37.35/37.53 (define @t277 () (and @t2 @t276)) % 37.35/37.53 (define @t278 () (forall @t3 (not @t277))) % 37.35/37.53 (define @t279 () (not @t278)) % 37.35/37.53 (define @t280 () (@quantifiers_skolemize (forall @t3 (or @t141 (not @t276))) 0)) % 37.35/37.53 (define @t281 () (tptp.sdtpldt0 tptp.xn @t280)) % 37.35/37.53 (define @t282 () (= tptp.xp @t281)) % 37.35/37.53 (define @t283 () (not @t282)) % 37.35/37.53 (define @t284 () (tptp.aNaturalNumber0 @t280)) % 37.35/37.53 (define @t285 () (not @t284)) % 37.35/37.53 (define @t286 () (or @t285 @t283)) % 37.35/37.53 (define @t287 () (@list @t286)) % 37.35/37.53 (define @t288 () (or @t141 @t140 @t13)) % 37.35/37.53 (define @t289 () (tptp.sdtpldt0 @t280 tptp.xn)) % 37.35/37.53 (define @t290 () (= @t281 @t289)) % 37.35/37.53 (define @t291 () (or @t236 @t285 @t290)) % 37.35/37.53 (define @t292 () (or @t147 @t148 (= @t229 @t123))) % 37.35/37.53 (define @t293 () (forall @t9 @t288)) % 37.35/37.53 (define @t294 () (= @t123 @t229)) % 37.35/37.53 (define @t295 () (or @t147 @t148 @t294)) % 37.35/37.53 (define @t296 () (not @t240)) % 37.35/37.53 (assume @p1 (forall @t3 (=> @t2 true))) % 37.35/37.53 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 37.35/37.53 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 37.35/37.53 (assume @p4 @t10) % 37.35/37.53 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 37.35/37.53 (assume @p6 @t14) % 37.35/37.53 (assume @p7 (forall @t20 (=> @t19 (= @t17 (tptp.sdtpldt0 @t1 @t16))))) % 37.35/37.53 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 37.35/37.53 (assume @p9 @t23) % 37.35/37.53 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 37.35/37.53 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 37.35/37.53 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 37.35/37.53 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t25)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t21 @t24)))))) % 37.35/37.53 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 37.35/37.53 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t15) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 37.35/37.53 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 37.35/37.53 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t32 @t34))))) % 37.35/37.53 (assume @p18 (forall @t9 (=> @t8 (= @t37 (exists @t36 @t35))))) % 37.35/37.53 (assume @p19 (forall @t9 (=> @t8 (=> @t37 (forall @t36 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 37.35/37.53 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 37.35/37.53 (assume @p21 (forall @t9 (=> @t8 (=> (and @t37 @t39) @t38)))) % 37.35/37.53 (assume @p22 (forall @t20 (=> @t19 (=> (and @t37 @t40) (tptp.sdtlseqdt0 @t1 @t15))))) % 37.35/37.53 (assume @p23 (forall @t9 (=> @t8 (or @t37 (and (not @t41) @t39))))) % 37.35/37.53 (assume @p24 (forall @t9 (=> @t8 (=> @t44 (forall @t36 (=> @t18 (and (not (= @t27 @t42)) (tptp.sdtlseqdt0 @t27 @t42) (not (= @t28 @t16)) (tptp.sdtlseqdt0 @t28 @t16)))))))) % 37.35/37.53 (assume @p25 (forall @t20 (=> @t19 (=> (and @t33 (not @t26) @t40) (and (not @t30) (tptp.sdtlseqdt0 @t11 @t25) (not @t29) (tptp.sdtlseqdt0 @t21 @t24)))))) % 37.35/37.53 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t45 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 37.35/37.53 (assume @p27 (forall @t9 (=> @t8 (=> @t33 (tptp.sdtlseqdt0 @t4 @t21))))) % 37.35/37.53 (assume @p28 (forall @t9 (=> @t8 (=> @t46 true)))) % 37.35/37.53 (assume @p29 @t48) % 37.35/37.53 (assume @p30 (forall @t9 (=> @t8 (= @t50 (exists @t36 @t49))))) % 37.35/37.53 (assume @p31 (forall @t9 (=> @t8 (=> @t52 (forall @t36 (= (= @t15 @t51) @t49)))))) % 37.35/37.53 (assume @p32 (forall @t20 (=> @t19 (=> (and @t50 (tptp.doDivides0 @t4 @t15)) @t53)))) % 37.35/37.53 (assume @p33 (forall @t20 (=> @t19 (=> (and @t50 @t53) @t54)))) % 37.35/37.53 (assume @p34 (forall @t20 (=> @t19 (=> (and @t50 @t54) @t53)))) % 37.35/37.53 (assume @p35 (forall @t9 (=> @t8 (=> (and @t50 (not @t34)) @t37)))) % 37.35/37.53 (assume @p36 (forall @t9 (=> @t8 (=> @t52 (forall @t36 (=> @t18 (= (tptp.sdtasdt0 @t15 @t51) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t4) @t1)))))))) % 37.35/37.53 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t33 @t57 (forall @t56 (=> (and @t7 @t55) (or (= @t4 tptp.sz10) @t41)))))))) % 37.35/37.53 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t57) (exists @t56 (and @t7 @t55 (tptp.isPrime0 @t4)))))) % 37.35/37.53 (assume @p39 (and @t60 @t59 @t58)) % 37.35/37.53 (assume @p40 @t104) % 37.35/37.53 (assume @p41 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t56 (and @t7 (= tptp.xp @t11))) (tptp.doDivides0 @t1 tptp.xp))) (or @t45 (= @t1 tptp.xp)))) @t107 (exists @t3 (and @t2 (= @t105 @t106))) (tptp.doDivides0 tptp.xp @t105))) % 37.35/37.53 (assume @p42 (not (or (exists @t3 (and @t2 (= @t108 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 37.35/37.53 (assume @p43 (not (or (exists @t3 (and @t2 (= @t108 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 37.35/37.53 (assume @p44 (and (not (= tptp.xn tptp.xp)) @t111 (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 37.35/37.53 (assume @p45 (and (tptp.aNaturalNumber0 tptp.xk) (= @t105 (tptp.sdtasdt0 tptp.xp tptp.xk)) (= tptp.xk (tptp.sdtsldt0 @t105 tptp.xp)))) % 37.35/37.53 (assume @p46 (not (or @t113 @t112))) % 37.35/37.53 (assume @p47 (and (not @t113) (not @t112))) % 37.35/37.53 (assume @p48 (and (tptp.aNaturalNumber0 tptp.xr) (exists @t3 (and @t2 (= tptp.xk @t114))) (tptp.doDivides0 tptp.xr tptp.xk) (not (= tptp.xr tptp.sz00)) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t56 (and @t7 (= tptp.xr @t11))) (tptp.doDivides0 @t1 tptp.xr))) (or @t45 (= @t1 tptp.xr)))) (tptp.isPrime0 tptp.xr))) % 37.35/37.53 (assume @p49 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xk))) (exists @t3 (and @t2 (= @t105 @t114))) (tptp.doDivides0 tptp.xr @t105))) % 37.35/37.53 (assume @p50 (and (not (= tptp.xk tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xk @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 37.35/37.53 (assume @p51 (or @t115 (and (exists @t3 (and @t2 (= tptp.xm @t114))) (tptp.doDivides0 tptp.xr tptp.xm)))) % 37.35/37.53 (assume @p52 @t115) % 37.35/37.53 (assume @p53 (and @t121 @t118 @t117 (exists @t3 (and @t2 (= (tptp.sdtpldt0 @t116 @t1) tptp.xn))) (tptp.sdtlseqdt0 @t116 tptp.xn))) % 37.35/37.53 (assume @p54 (and @t118 @t117 (exists @t3 (and @t2 (= @t122 @t106))) (tptp.doDivides0 tptp.xp @t122))) % 37.35/37.53 (assume @p55 (and @t128 @t118 @t117 (exists @t3 (and @t2 (= (tptp.sdtpldt0 @t124 @t1) @t77))) @t125)) % 37.35/37.53 (assume @p56 @t139) % 37.35/37.53 (assume @p57 true) % 37.35/37.53 (step @p58 :rule and_elim :premises (@p54) :args (3)) % 37.35/37.53 (step @p59 :rule true_intro :premises (@p58)) % 37.35/37.53 (step @p60 :rule aci_norm :args ((= (or @t142 @t22) (or @t141 @t140 @t22)))) % 37.35/37.53 (step @p61 :rule refl :args (@t22)) % 37.35/37.53 (step @p62 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 37.35/37.53 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t143 @t22))) % 37.35/37.53 (step @p64 :rule trans :premises (@p63 @p60)) % 37.35/37.53 (step @p65 :rule bool-impl-elim :args (@t8 @t22)) % 37.35/37.53 (step @p66 :rule trans :premises (@p65 @p64)) % 37.35/37.53 (step @p67 :rule cong :premises (@p66) :args (@t23)) % 37.35/37.53 (step @p68 :rule eq_resolve :premises (@p9 @p67)) % 37.35/37.53 (step @p69 :rule instantiate :premises (@p68) :args (@t144)) % 37.35/37.53 (step @p70 :rule eq-symm :args (@t116 tptp.xn)) % 37.35/37.53 (step @p71 :rule refl :args (@t119)) % 37.35/37.53 (step @p72 :rule cong :premises (@p71 @p70) :args (@t120)) % 37.35/37.53 (step @p73 :rule cong :premises (@p72) :args (@t121)) % 37.35/37.53 (step @p74 :rule and_elim :premises (@p53) :args (0)) % 37.35/37.53 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 37.35/37.53 (step @p76 :rule not_implies_elim1 :premises (@p75)) % 37.35/37.53 (step @p77 :rule and_elim :premises (@p76) :args (0)) % 37.35/37.53 (step @p78 :rule and_elim :premises (@p39) :args (1)) % 37.35/37.53 (step @p79 :rule cnf_or_pos :args (@t149)) % 37.35/37.53 (step @p80 :rule reordering :premises (@p79) :args ((or @t147 @t148 @t146 (not @t149)))) % 37.35/37.53 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p77 @p69) :args (@t146 @t150 (@list @t59 @t118 @t149))) % 37.35/37.53 (step @p82 :rule symm :premises (@p81)) % 37.35/37.53 (step @p83 :rule refl :args (tptp.xp)) % 37.35/37.53 (step @p84 :rule cong :premises (@p83 @p82) :args (@t151)) % 37.35/37.53 (step @p85 :rule trans :premises (@p84 @p59)) % 37.35/37.53 (step @p86 :rule true_elim :premises (@p85)) % 37.35/37.53 (step @p87 :rule quant-merge-prenex :args ((= (forall @t20 @t179) @t177))) % 37.35/37.53 (step @p88 :rule refl :args (@t153)) % 37.35/37.53 (step @p89 :rule refl :args (@t154)) % 37.35/37.53 (step @p90 :rule refl :args (@t155)) % 37.35/37.53 (step @p91 :rule quant-unused-vars :args ((= @t180 @t156))) % 37.35/37.53 (step @p92 :rule alpha_equiv :args (@t181 (@list @t157) (@list @t62))) % 37.35/37.53 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t182)) % 37.35/37.53 (step @p94 :rule quant-miniscope-and :args ((= @t183 @t182))) % 37.35/37.53 (step @p95 :rule trans :premises (@p94 @p93)) % 37.35/37.53 (step @p96 :rule refl :args (@t174)) % 37.35/37.53 (step @p97 :rule refl :args (@t175)) % 37.35/37.53 (step @p98 :rule refl :args (@t140)) % 37.35/37.53 (step @p99 :rule refl :args (@t141)) % 37.35/37.53 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95 @p90 @p89 @p88) :args (@t184)) % 37.35/37.53 (step @p101 :rule quant-miniscope-or :args ((= @t179 @t184))) % 37.35/37.53 (step @p102 :rule trans :premises (@p101 @p100)) % 37.35/37.53 (step @p103 :rule symm :premises (@p102)) % 37.35/37.53 (step @p104 :rule cong :premises (@p103) :args ((forall @t20 @t187))) % 37.35/37.53 (step @p105 :rule trans :premises (@p104 @p87)) % 37.35/37.53 (step @p106 :rule aci_norm :args ((= (or @t189 @t188) @t187))) % 37.35/37.53 (step @p107 :rule aci_norm :args ((= (or (or @t174 @t186) @t190) @t188))) % 37.35/37.53 (step @p108 :rule aci_norm :args ((= (or @t155 @t191) @t190))) % 37.35/37.53 (step @p109 :rule bool-impl-elim :args (@t78 @t191)) % 37.35/37.53 (step @p110 :rule trans :premises (@p109 @p108)) % 37.35/37.53 (step @p111 :rule refl :args (@t156)) % 37.35/37.53 (step @p112 :rule bool-double-not-elim :args (@t185)) % 37.35/37.53 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((and (not @t192) @t156))) % 37.35/37.53 (step @p114 :rule bool-or-de-morgan :args (@t192 @t80 false)) % 37.35/37.53 (step @p115 :rule trans :premises (@p114 @p113)) % 37.35/37.53 (step @p116 :rule refl :args (@t160)) % 37.35/37.53 (step @p117 :rule refl :args (@t171)) % 37.35/37.53 (step @p118 :rule bool-double-not-elim :args (@t172)) % 37.35/37.53 (step @p119 :rule bool-double-not-elim :args (@t173)) % 37.35/37.53 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t197)) % 37.35/37.53 (step @p121 :rule aci_norm :args ((= (or @t196 (or @t194 @t171)) @t197))) % 37.35/37.53 (step @p122 :rule trans :premises (@p121 @p120)) % 37.35/37.53 (step @p123 :rule bool-and-de-morgan :args (@t193 @t170 true)) % 37.35/37.53 (step @p124 :rule refl :args (@t196)) % 37.35/37.53 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t196 (not (and @t193 @t170))))) % 37.35/37.53 (step @p126 :rule bool-and-de-morgan :args (@t195 @t193 (and @t170))) % 37.35/37.53 (step @p127 :rule trans :premises (@p126 @p125)) % 37.35/37.53 (step @p128 :rule trans :premises (@p127 @p122)) % 37.35/37.53 (step @p129 :rule nary_cong :premises (@p128 @p116) :args ((and (not @t198) @t160))) % 37.35/37.53 (step @p130 :rule bool-or-de-morgan :args (@t198 @t85 false)) % 37.35/37.53 (step @p131 :rule trans :premises (@p130 @p129)) % 37.35/37.53 (step @p132 :rule nary_cong :premises (@p131 @p115) :args ((or (not @t200) (not @t199)))) % 37.35/37.53 (step @p133 :rule bool-and-de-morgan :args (@t200 @t199 true)) % 37.35/37.53 (step @p134 :rule trans :premises (@p133 @p132)) % 37.35/37.53 (step @p135 :rule nary_cong :premises 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:premises (@p39) :args (0)) % 37.35/37.53 (step @p334 :rule cnf_or_pos :args (@t269)) % 37.35/37.53 (step @p335 :rule reordering :premises (@p334) :args ((or @t236 @t147 @t268 (not @t269)))) % 37.35/37.53 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p78 @p332) :args (@t268 @t150 (@list @t60 @t59 @t269))) % 37.35/37.53 (step @p337 :rule and_elim :premises (@p39) :args (2)) % 37.35/37.53 (step @p338 :rule cnf_or_pos :args (@t271)) % 37.35/37.53 (step @p339 :rule reordering :premises (@p338) :args ((or @t241 @t270 @t260 (not @t271)))) % 37.35/37.53 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p336 @p331) :args (@t260 @t150 (@list @t58 @t268 @t271))) % 37.35/37.53 (step @p341 :rule instantiate :premises (@p330) :args ((@list @t123 tptp.xp))) % 37.35/37.53 (step @p342 :rule instantiate :premises (@p330) :args (@t144)) % 37.35/37.53 (step @p343 :rule cnf_or_pos :args (@t273)) % 37.35/37.53 (step @p344 :rule reordering :premises (@p343) :args ((or @t147 @t148 @t272 (not @t273)))) % 37.35/37.53 (step @p345 :rule chain_m_resolution :premises (@p344 @p78 @p77 @p342) :args (@t272 @t150 (@list @t59 @t118 @t273))) % 37.35/37.53 (step @p346 :rule cnf_or_pos :args (@t275)) % 37.35/37.53 (step @p347 :rule reordering :premises (@p346) :args ((or @t241 @t274 @t262 (not @t275)))) % 37.35/37.53 (step @p348 :rule chain_m_resolution :premises (@p347 @p337 @p345 @p341) :args (@t262 @t150 (@list @t58 @t272 @t275))) % 37.35/37.53 (step @p349 :rule and_elim :premises (@p55) :args (4)) % 37.35/37.53 (step @p350 :rule cong :premises (@p71 @p310) :args (@t127)) % 37.35/37.53 (step @p351 :rule cong :premises (@p350) :args (@t128)) % 37.35/37.53 (step @p352 :rule and_elim :premises (@p55) :args (0)) % 37.35/37.53 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 37.35/37.53 (step @p354 :rule not_implies_elim2 :premises (@p353)) % 37.35/37.53 (step @p355 :rule cnf_or_pos :args (@t267)) % 37.35/37.53 (step @p356 :rule reordering :premises (@p355) :args ((or @t266 @t259 @t263 @t261 @t258 (not @t267)))) % 37.35/37.53 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p349 @p348 @p340 @p322) :args (@t258 (@list true false false false false) (@list @t266 @t125 @t262 @t260 @t267))) % 37.35/37.53 (step @p358 :rule true_intro :premises (@p357)) % 37.35/37.53 (step @p359 :rule refl :args (@t77)) % 37.35/37.53 (step @p360 :rule bool-and-de-morgan :args (@t2 @t276 true)) % 37.35/37.53 (step @p361 :rule cong :premises (@p360) :args (@t278)) % 37.35/37.53 (step @p362 :rule cong :premises (@p361) :args (@t279)) % 37.35/37.53 (step @p363 :rule exists-elim :args ((= (exists @t3 @t277) @t279))) % 37.35/37.53 (step @p364 :rule trans :premises (@p363 @p362)) % 37.35/37.53 (step @p365 :rule eq-symm :args (@t109 tptp.xp)) % 37.35/37.53 (step @p366 :rule nary_cong :premises (@p271 @p365) :args (@t110)) % 37.35/37.53 (step @p367 :rule cong :premises (@p366) :args (@t111)) % 37.35/37.53 (step @p368 :rule trans :premises (@p367 @p364)) % 37.35/37.53 (step @p369 :rule and_elim :premises (@p44) :args (1)) % 37.35/37.53 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 37.35/37.53 (step @p371 :rule skolemize :premises (@p370)) % 37.35/37.53 (step @p372 :rule bool-double-not-elim :args (@t282)) % 37.35/37.53 (step @p373 :rule refl :args (@t286)) % 37.35/37.54 (step @p374 :rule nary_cong :premises (@p373 @p372) :args ((or @t286 (not @t283)))) % 37.35/37.54 (step @p375 :rule cnf_or_neg :args (@t286 1)) % 37.35/37.54 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 37.35/37.54 (step @p377 :rule reordering :premises (@p376) :args ((or @t282 @t286))) % 37.35/37.54 (step @p378 :rule chain_m_resolution :premises (@p377 @p371) :args (@t282 @t253 @t287)) % 37.35/37.54 (step @p379 :rule symm :premises (@p378)) % 37.35/37.54 (step @p380 :rule aci_norm :args ((= (or @t142 @t13) @t288))) % 37.35/37.54 (step @p381 :rule refl :args (@t13)) % 37.35/37.54 (step @p382 :rule nary_cong :premises (@p62 @p381) :args ((or @t143 @t13))) % 37.35/37.54 (step @p383 :rule trans :premises (@p382 @p380)) % 37.35/37.54 (step @p384 :rule bool-impl-elim :args (@t8 @t13)) % 37.35/37.54 (step @p385 :rule trans :premises (@p384 @p383)) % 37.35/37.54 (step @p386 :rule cong :premises (@p385) :args (@t14)) % 37.35/37.54 (step @p387 :rule eq_resolve :premises (@p6 @p386)) % 37.35/37.54 (step @p388 :rule instantiate :premises (@p387) :args ((@list tptp.xn @t280))) % 37.35/37.54 (step @p389 :rule bool-double-not-elim :args (@t284)) % 37.35/37.54 (step @p390 :rule nary_cong :premises (@p373 @p389) :args ((or @t286 (not @t285)))) % 37.35/37.54 (step @p391 :rule cnf_or_neg :args (@t286 0)) % 37.35/37.54 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 37.35/37.54 (step @p393 :rule reordering :premises (@p392) :args ((or @t284 @t286))) % 37.35/37.54 (step @p394 :rule chain_m_resolution :premises (@p393 @p371) :args (@t284 @t253 @t287)) % 37.35/37.54 (step @p395 :rule cnf_or_pos :args (@t291)) % 37.35/37.54 (step @p396 :rule reordering :premises (@p395) :args ((or @t236 @t285 @t290 (not @t291)))) % 37.35/37.54 (step @p397 :rule chain_m_resolution :premises (@p396 @p333 @p394 @p388) :args (@t290 @t150 (@list @t60 @t284 @t291))) % 37.35/37.54 (step @p398 :rule symm :premises (@p397)) % 37.35/37.54 (step @p399 :rule trans :premises (@p398 @p379)) % 37.35/37.54 (step @p400 :rule refl :args (@t123)) % 37.35/37.54 (step @p401 :rule cong :premises (@p400 @p399) :args ((tptp.sdtpldt0 @t123 @t289))) % 37.35/37.54 (step @p402 :rule symm :premises (@p399)) % 37.35/37.54 (step @p403 :rule eq-symm :args (@t229 @t123)) % 37.35/37.54 (step @p404 :rule nary_cong :premises (@p247 @p246 @p403) :args (@t292)) % 37.35/37.54 (step @p405 :rule refl :args (@t293)) % 37.35/37.54 (step @p406 :rule cong :premises (@p405 @p404) :args ((=> @t293 @t292))) % 37.35/37.54 (assume-push @p437 @t293) % 37.35/37.54 (step @p408 :rule instantiate :premises (@p387) :args ((@list tptp.xm @t116))) % 37.35/37.54 (step-pop @p438 :rule scope :premises (@p408)) % 37.35/37.54 (step @p409 :rule process_scope :premises (@p438) :args (@t292)) % 37.35/37.54 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 37.35/37.54 (step @p412 :rule implies_elim :premises (@p411)) % 37.35/37.54 (step @p413 :rule chain_m_resolution :premises (@p412 @p387) :args (@t295 @t245 (@list @t293))) % 37.35/37.54 (step @p414 :rule cnf_or_pos :args (@t295)) % 37.35/37.54 (step @p415 :rule reordering :premises (@p414) :args ((or @t147 @t148 @t294 (not @t295)))) % 37.35/37.54 (step @p416 :rule chain_m_resolution :premises (@p415 @p78 @p77 @p413) :args (@t294 @t150 (@list @t59 @t118 @t295))) % 37.35/37.54 (step @p417 :rule symm :premises (@p416)) % 37.35/37.54 (step @p418 :rule cong :premises (@p417 @p402) :args (@t230)) % 37.35/37.54 (step @p419 :rule trans :premises (@p418 @p401)) % 37.35/37.54 (step @p420 :rule cong :premises (@p419 @p359) :args (@t231)) % 37.35/37.54 (step @p421 :rule trans :premises (@p420 @p358)) % 37.35/37.54 (step @p422 :rule true_elim :premises (@p421)) % 37.35/37.54 (step @p423 :rule and_elim :premises (@p41) :args (3)) % 37.35/37.54 (step @p424 :rule cnf_and_pos :args (@t240 1)) % 37.35/37.54 (step @p425 :rule reordering :premises (@p424) :args ((or @t239 @t296))) % 37.35/37.54 (step @p426 :rule chain_m_resolution :premises (@p425 @p423) :args (@t296 @t245 (@list @t107))) % 37.35/37.54 (step @p427 :rule cnf_or_pos :args (@t244)) % 37.35/37.54 (step @p428 :rule reordering :premises (@p427) :args ((or @t147 @t241 @t148 @t240 @t232 @t228 @t227 @t243 (not @t244)))) % 37.35/37.54 (step @p429 :rule chain_m_resolution :premises (@p428 @p78 @p337 @p77 @p426 @p422 @p289 @p285 @p257) :args (@t243 (@list false false false true false true true false) (@list @t59 @t58 @t118 @t240 @t231 @t228 @t227 @t244))) % 37.35/37.54 (step @p430 :rule cnf_and_pos :args (@t243 1)) % 37.35/37.54 (step @p431 :rule reordering :premises (@p430) :args ((or @t233 (not @t243)))) % 37.35/37.54 (step @p432 false :rule chain_m_resolution :premises (@p431 @p429 @p86) :args (false (@list false false) (@list @t243 @t151))) % 37.35/37.54 ) % 37.35/37.54 % SZS output end Proof % 37.35/37.54 % cvc5 exiting %------------------------------------------------------------------------------