%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM490+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 : n021.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 08:39:35 AM UTC 2026 % Result : Theorem 63.96s 64.55s % Output : Proof 63.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM490+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 % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:24:50 EDT 2026 % 0.15/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 63.96/64.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 63.96/64.55 --- Run --no-e-matching --full-saturate-quant at 6... % 63.96/64.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 63.96/64.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 63.96/64.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.96/64.55 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.96/64.55 % SZS status Theorem % 63.96/64.55 % SZS output start Proof % 63.96/64.55 ( % 63.96/64.55 (declare-sort $$unsorted 0) % 63.96/64.55 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 63.96/64.55 (declare-const tptp.xm $$unsorted) % 63.96/64.55 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 63.96/64.55 (declare-const tptp.xr $$unsorted) % 63.96/64.55 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 63.96/64.55 (declare-const tptp.xn $$unsorted) % 63.96/64.55 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 63.96/64.55 (declare-const tptp.sz00 $$unsorted) % 63.96/64.55 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 63.96/64.55 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 63.96/64.55 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 63.96/64.55 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 63.96/64.55 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 63.96/64.55 (declare-const tptp.sz10 $$unsorted) % 63.96/64.55 (declare-const tptp.xp $$unsorted) % 63.96/64.55 (define @t1 () (@var "W0" $$unsorted)) % 63.96/64.55 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 63.96/64.55 (define @t3 () (@list @t1)) % 63.96/64.55 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 63.96/64.55 (define @t5 () (@var "W1" $$unsorted)) % 63.96/64.55 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 63.96/64.55 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 63.96/64.55 (define @t8 () (and @t2 @t7)) % 63.96/64.55 (define @t9 () (@list @t1 @t5)) % 63.96/64.55 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 63.96/64.55 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 63.96/64.55 (define @t12 () (forall @t9 (=> @t8 @t11))) % 63.96/64.55 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 63.96/64.55 (define @t14 () (= @t6 @t13)) % 63.96/64.55 (define @t15 () (forall @t9 (=> @t8 @t14))) % 63.96/64.55 (define @t16 () (@var "W2" $$unsorted)) % 63.96/64.55 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 63.96/64.55 (define @t18 () (tptp.sdtpldt0 @t6 @t16)) % 63.96/64.55 (define @t19 () (tptp.aNaturalNumber0 @t16)) % 63.96/64.55 (define @t20 () (and @t2 @t7 @t19)) % 63.96/64.55 (define @t21 () (@list @t1 @t5 @t16)) % 63.96/64.55 (define @t22 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 63.96/64.55 (define @t23 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 63.96/64.55 (define @t24 () (and (= @t23 @t1) @t22)) % 63.96/64.55 (define @t25 () (=> @t2 @t24)) % 63.96/64.55 (define @t26 () (forall @t3 @t25)) % 63.96/64.55 (define @t27 () (tptp.sdtasdt0 @t5 @t1)) % 63.96/64.55 (define @t28 () (= @t10 @t27)) % 63.96/64.55 (define @t29 () (forall @t9 (=> @t8 @t28))) % 63.96/64.55 (define @t30 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 63.96/64.55 (define @t31 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 63.96/64.55 (define @t32 () (and (= @t31 @t1) @t30)) % 63.96/64.55 (define @t33 () (=> @t2 @t32)) % 63.96/64.55 (define @t34 () (forall @t3 @t33)) % 63.96/64.55 (define @t35 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 63.96/64.55 (define @t36 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 63.96/64.55 (define @t37 () (and (= @t36 tptp.sz00) @t35)) % 63.96/64.55 (define @t38 () (=> @t2 @t37)) % 63.96/64.55 (define @t39 () (forall @t3 @t38)) % 63.96/64.55 (define @t40 () (tptp.sdtasdt0 @t16 @t1)) % 63.96/64.55 (define @t41 () (tptp.sdtasdt0 @t1 @t16)) % 63.96/64.55 (define @t42 () (= @t5 @t16)) % 63.96/64.55 (define @t43 () (tptp.sdtpldt0 @t16 @t1)) % 63.96/64.55 (define @t44 () (tptp.sdtpldt0 @t1 @t16)) % 63.96/64.55 (define @t45 () (= @t27 @t40)) % 63.96/64.55 (define @t46 () (= @t10 @t41)) % 63.96/64.55 (define @t47 () (and @t7 @t19)) % 63.96/64.55 (define @t48 () (= @t1 tptp.sz00)) % 63.96/64.55 (define @t49 () (not @t48)) % 63.96/64.55 (define @t50 () (= @t5 tptp.sz00)) % 63.96/64.55 (define @t51 () (and @t19 (= @t44 @t5))) % 63.96/64.55 (define @t52 () (@list @t16)) % 63.96/64.55 (define @t53 () (tptp.sdtlseqdt0 @t1 @t5)) % 63.96/64.55 (define @t54 () (tptp.sdtmndt0 @t5 @t1)) % 63.96/64.55 (define @t55 () (= @t16 @t54)) % 63.96/64.55 (define @t56 () (forall @t52 (= @t55 @t51))) % 63.96/64.55 (define @t57 () (=> @t53 @t56)) % 63.96/64.55 (define @t58 () (=> @t8 @t57)) % 63.96/64.55 (define @t59 () (forall @t9 @t58)) % 63.96/64.55 (define @t60 () (tptp.sdtlseqdt0 @t1 @t1)) % 63.96/64.55 (define @t61 () (forall @t3 (=> @t2 @t60))) % 63.96/64.55 (define @t62 () (= @t1 @t5)) % 63.96/64.55 (define @t63 () (tptp.sdtlseqdt0 @t5 @t1)) % 63.96/64.55 (define @t64 () (tptp.sdtlseqdt0 @t5 @t16)) % 63.96/64.55 (define @t65 () (= @t5 @t1)) % 63.96/64.55 (define @t66 () (tptp.sdtpldt0 @t16 @t5)) % 63.96/64.55 (define @t67 () (and (not @t62) @t53)) % 63.96/64.55 (define @t68 () (and (not @t46) (tptp.sdtlseqdt0 @t10 @t41) (not @t45) (tptp.sdtlseqdt0 @t27 @t40))) % 63.96/64.55 (define @t69 () (not @t42)) % 63.96/64.55 (define @t70 () (and @t49 @t69 @t64)) % 63.96/64.55 (define @t71 () (=> @t70 @t68)) % 63.96/64.55 (define @t72 () (forall @t21 (=> @t20 @t71))) % 63.96/64.55 (define @t73 () (= @t1 tptp.sz10)) % 63.96/64.55 (define @t74 () (tptp.iLess0 @t1 @t5)) % 63.96/64.55 (define @t75 () (and @t19 (= @t5 @t41))) % 63.96/64.55 (define @t76 () (tptp.doDivides0 @t1 @t5)) % 63.96/64.55 (define @t77 () (tptp.sdtsldt0 @t5 @t1)) % 63.96/64.55 (define @t78 () (and @t49 @t76)) % 63.96/64.55 (define @t79 () (tptp.doDivides0 @t1 @t16)) % 63.96/64.55 (define @t80 () (tptp.doDivides0 @t1 @t17)) % 63.96/64.55 (define @t81 () (tptp.doDivides0 @t5 @t1)) % 63.96/64.55 (define @t82 () (@list @t5)) % 63.96/64.55 (define @t83 () (not @t73)) % 63.96/64.55 (define @t84 () (tptp.aNaturalNumber0 tptp.xp)) % 63.96/64.55 (define @t85 () (tptp.aNaturalNumber0 tptp.xm)) % 63.96/64.55 (define @t86 () (tptp.aNaturalNumber0 tptp.xn)) % 63.96/64.55 (define @t87 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 63.96/64.55 (define @t88 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 63.96/64.55 (define @t89 () (tptp.sdtmndt0 tptp.xn tptp.xp)) % 63.96/64.55 (define @t90 () (tptp.sdtasdt0 tptp.xr tptp.xm)) % 63.96/64.55 (define @t91 () (tptp.sdtasdt0 tptp.xp tptp.xm)) % 63.96/64.55 (define @t92 () (tptp.sdtpldt0 @t91 @t90)) % 63.96/64.55 (define @t93 () (= @t87 @t92)) % 63.96/64.55 (define @t94 () (tptp.sdtmndt0 @t87 @t91)) % 63.96/64.55 (define @t95 () (= @t90 @t94)) % 63.96/64.55 (define @t96 () (not @t95)) % 63.96/64.55 (define @t97 () (tptp.sdtasdt0 @t89 tptp.xm)) % 63.96/64.55 (define @t98 () (and (= @t1 @t31) @t30)) % 63.96/64.55 (define @t99 () (@list tptp.xn)) % 63.96/64.55 (define @t100 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 63.96/64.55 (define @t101 () (= tptp.xn @t100)) % 63.96/64.55 (define @t102 () (and (= tptp.xn (tptp.sdtasdt0 tptp.xn tptp.sz10)) @t101)) % 63.96/64.55 (define @t103 () (not @t86)) % 63.96/64.55 (define @t104 () (or @t103 @t102)) % 63.96/64.55 (define @t105 () (@list false false)) % 63.96/64.55 (define @t106 () (@list false)) % 63.96/64.55 (define @t107 () (@list tptp.xp)) % 63.96/64.55 (define @t108 () (tptp.sdtasdt0 tptp.sz10 tptp.xp)) % 63.96/64.55 (define @t109 () (= tptp.xp @t108)) % 63.96/64.55 (define @t110 () (and (= tptp.xp (tptp.sdtasdt0 tptp.xp tptp.sz10)) @t109)) % 63.96/64.55 (define @t111 () (not @t84)) % 63.96/64.55 (define @t112 () (or @t111 @t110)) % 63.96/64.55 (define @t113 () (and (= tptp.sz00 @t36) @t35)) % 63.96/64.55 (define @t114 () (tptp.sdtasdt0 tptp.xn tptp.sz00)) % 63.96/64.55 (define @t115 () (= tptp.sz00 @t114)) % 63.96/64.55 (define @t116 () (and @t115 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 63.96/64.55 (define @t117 () (or @t103 @t116)) % 63.96/64.55 (define @t118 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00))) % 63.96/64.55 (define @t119 () (and @t118 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 63.96/64.55 (define @t120 () (or @t111 @t119)) % 63.96/64.55 (define @t121 () (not @t7)) % 63.96/64.55 (define @t122 () (not @t2)) % 63.96/64.55 (define @t123 () (or @t122 @t121)) % 63.96/64.55 (define @t124 () (not @t8)) % 63.96/64.55 (define @t125 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 63.96/64.55 (define @t126 () (= @t54 @t125)) % 63.96/64.55 (define @t127 () (and (tptp.aNaturalNumber0 @t125) (= @t5 (tptp.sdtpldt0 @t1 @t125)))) % 63.96/64.55 (define @t128 () (= (= @t125 @t54) @t127)) % 63.96/64.55 (define @t129 () (not @t53)) % 63.96/64.55 (define @t130 () (or @t122 @t121 @t129 @t128)) % 63.96/64.55 (define @t131 () (@list @t1 @t5 @t125)) % 63.96/64.55 (define @t132 () (forall @t131 @t130)) % 63.96/64.55 (define @t133 () (@list @t125)) % 63.96/64.55 (define @t134 () (forall @t133 @t130)) % 63.96/64.55 (define @t135 () (forall @t133 @t128)) % 63.96/64.55 (define @t136 () (or @t122 @t121 @t129 @t135)) % 63.96/64.55 (define @t137 () (and @t19 (= @t5 @t44))) % 63.96/64.55 (define @t138 () (forall @t52 (= @t55 @t137))) % 63.96/64.55 (define @t139 () (or @t122 @t121 @t129 @t138)) % 63.96/64.55 (define @t140 () (=> @t53 @t138)) % 63.96/64.55 (define @t141 () (tptp.aNaturalNumber0 @t89)) % 63.96/64.55 (define @t142 () (and @t141 (= tptp.xn (tptp.sdtpldt0 tptp.xp @t89)))) % 63.96/64.55 (define @t143 () (= @t89 @t89)) % 63.96/64.55 (define @t144 () (not @t88)) % 63.96/64.55 (define @t145 () (or @t111 @t103 @t144 (= @t142 @t143))) % 63.96/64.55 (define @t146 () (forall @t131 (or @t122 @t121 @t129 (= @t127 @t126)))) % 63.96/64.55 (define @t147 () (or @t111 @t103 @t144 @t142)) % 63.96/64.55 (define @t148 () (@list @t146)) % 63.96/64.55 (define @t149 () (tptp.sdtasdt0 tptp.xm @t89)) % 63.96/64.55 (define @t150 () (tptp.aNaturalNumber0 @t149)) % 63.96/64.55 (define @t151 () (not @t141)) % 63.96/64.55 (define @t152 () (not @t85)) % 63.96/64.55 (define @t153 () (or @t152 @t151 @t150)) % 63.96/64.55 (define @t154 () (@list false false false)) % 63.96/64.55 (define @t155 () (= @t97 @t149)) % 63.96/64.55 (define @t156 () (or @t151 @t152 @t155)) % 63.96/64.55 (define @t157 () (tptp.aNaturalNumber0 @t97)) % 63.96/64.55 (define @t158 () (tptp.sdtasdt0 tptp.xm tptp.xp)) % 63.96/64.55 (define @t159 () (tptp.aNaturalNumber0 @t158)) % 63.96/64.55 (define @t160 () (or @t152 @t111 @t159)) % 63.96/64.55 (define @t161 () (= @t91 @t158)) % 63.96/64.55 (define @t162 () (or @t111 @t152 @t161)) % 63.96/64.55 (define @t163 () (tptp.aNaturalNumber0 @t91)) % 63.96/64.55 (define @t164 () (tptp.sdtpldt0 @t97 @t91)) % 63.96/64.55 (define @t165 () (tptp.sdtpldt0 @t91 @t97)) % 63.96/64.55 (define @t166 () (= @t165 @t164)) % 63.96/64.55 (define @t167 () (not @t157)) % 63.96/64.55 (define @t168 () (not @t163)) % 63.96/64.55 (define @t169 () (or @t168 @t167 @t166)) % 63.96/64.55 (define @t170 () (and (= @t1 @t23) @t22)) % 63.96/64.55 (define @t171 () (= @t97 (tptp.sdtpldt0 @t97 tptp.sz00))) % 63.96/64.55 (define @t172 () (and @t171 (= @t97 (tptp.sdtpldt0 tptp.sz00 @t97)))) % 63.96/64.55 (define @t173 () (or @t167 @t172)) % 63.96/64.55 (define @t174 () (tptp.sdtmndt0 @t87 @t87)) % 63.96/64.55 (define @t175 () (= @t87 (tptp.sdtpldt0 @t87 tptp.sz00))) % 63.96/64.55 (define @t176 () (and @t4 @t175)) % 63.96/64.55 (define @t177 () (= @t176 (= @t174 tptp.sz00))) % 63.96/64.55 (define @t178 () (tptp.sdtlseqdt0 @t87 @t87)) % 63.96/64.55 (define @t179 () (not @t178)) % 63.96/64.55 (define @t180 () (tptp.aNaturalNumber0 @t87)) % 63.96/64.55 (define @t181 () (not @t180)) % 63.96/64.55 (define @t182 () (or @t181 @t181 @t179 @t177)) % 63.96/64.55 (define @t183 () (= tptp.sz00 @t174)) % 63.96/64.55 (define @t184 () (= @t176 @t183)) % 63.96/64.55 (define @t185 () (or @t181 @t181 @t179 @t184)) % 63.96/64.55 (define @t186 () (@list @t87)) % 63.96/64.55 (define @t187 () (@list tptp.xn tptp.xm)) % 63.96/64.55 (define @t188 () (or @t103 @t152 @t180)) % 63.96/64.55 (define @t189 () (or @t181 @t178)) % 63.96/64.55 (define @t190 () (and @t175 (= @t87 (tptp.sdtpldt0 tptp.sz00 @t87)))) % 63.96/64.55 (define @t191 () (or @t181 @t190)) % 63.96/64.55 (define @t192 () (not @t4)) % 63.96/64.55 (define @t193 () (not @t64)) % 63.96/64.55 (define @t194 () (not @t19)) % 63.96/64.55 (define @t195 () (or @t122 @t121 @t194 @t48 @t42 @t193 @t68)) % 63.96/64.55 (define @t196 () (or @t48 @t42 @t193 @t68)) % 63.96/64.55 (define @t197 () (or @t122 @t121 @t194)) % 63.96/64.55 (define @t198 () (not @t69)) % 63.96/64.55 (define @t199 () (not @t49)) % 63.96/64.55 (define @t200 () (or @t199 @t198 @t193)) % 63.96/64.55 (define @t201 () (tptp.sdtlseqdt0 @t91 @t87)) % 63.96/64.55 (define @t202 () (not (= @t91 @t87))) % 63.96/64.55 (define @t203 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 63.96/64.55 (define @t204 () (tptp.sdtlseqdt0 @t158 @t203)) % 63.96/64.55 (define @t205 () (not (= @t158 @t203))) % 63.96/64.55 (define @t206 () (and @t205 @t204 @t202 @t201)) % 63.96/64.55 (define @t207 () (or @t152 @t111 @t103 (= tptp.xm tptp.sz00) (= tptp.xp tptp.xn) @t144 @t206)) % 63.96/64.55 (define @t208 () (forall @t21 @t195)) % 63.96/64.55 (define @t209 () (and (not (= @t203 @t158)) @t204 (not (= @t87 @t91)) @t201)) % 63.96/64.55 (define @t210 () (= tptp.xn tptp.xp)) % 63.96/64.55 (define @t211 () (= tptp.sz00 tptp.xm)) % 63.96/64.55 (define @t212 () (or @t152 @t111 @t103 @t211 @t210 @t144 @t209)) % 63.96/64.55 (define @t213 () (= @t87 @t165)) % 63.96/64.55 (define @t214 () (and @t157 @t213)) % 63.96/64.55 (define @t215 () (= @t94 @t97)) % 63.96/64.55 (define @t216 () (not @t201)) % 63.96/64.55 (define @t217 () (or @t168 @t181 @t216 (= @t214 @t215))) % 63.96/64.55 (define @t218 () (= @t215 @t214)) % 63.96/64.55 (define @t219 () (or @t168 @t181 @t216 @t218)) % 63.96/64.55 (define @t220 () (not @t213)) % 63.96/64.55 (define @t221 () (not @t218)) % 63.96/64.55 (define @t222 () (not @t209)) % 63.96/64.55 (define @t223 () (tptp.sdtmndt0 tptp.xn tptp.xn)) % 63.96/64.55 (define @t224 () (= tptp.xn (tptp.sdtpldt0 tptp.xn tptp.sz00))) % 63.96/64.55 (define @t225 () (and @t4 @t224)) % 63.96/64.55 (define @t226 () (= @t225 (= @t223 tptp.sz00))) % 63.96/64.55 (define @t227 () (tptp.sdtlseqdt0 tptp.xn tptp.xn)) % 63.96/64.55 (define @t228 () (not @t227)) % 63.96/64.55 (define @t229 () (or @t103 @t103 @t228 @t226)) % 63.96/64.55 (define @t230 () (= tptp.sz00 @t223)) % 63.96/64.55 (define @t231 () (= @t225 @t230)) % 63.96/64.55 (define @t232 () (or @t103 @t103 @t228 @t231)) % 63.96/64.55 (define @t233 () (or @t103 @t227)) % 63.96/64.55 (define @t234 () (and @t224 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn)))) % 63.96/64.55 (define @t235 () (or @t103 @t234)) % 63.96/64.55 (define @t236 () (@list tptp.xm)) % 63.96/64.55 (define @t237 () (tptp.sdtasdt0 tptp.xm tptp.sz00)) % 63.96/64.55 (define @t238 () (= tptp.sz00 @t237)) % 63.96/64.55 (define @t239 () (and @t238 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 63.96/64.55 (define @t240 () (or @t152 @t239)) % 63.96/64.55 (define @t241 () (tptp.sdtasdt0 tptp.sz10 tptp.xm)) % 63.96/64.55 (define @t242 () (= tptp.xm @t241)) % 63.96/64.55 (define @t243 () (and (= tptp.xm (tptp.sdtasdt0 tptp.xm tptp.sz10)) @t242)) % 63.96/64.55 (define @t244 () (or @t152 @t243)) % 63.96/64.55 (define @t245 () (= @t87 @t203)) % 63.96/64.55 (define @t246 () (or @t103 @t152 @t245)) % 63.96/64.55 (define @t247 () (tptp.sdtpldt0 tptp.sz00 tptp.xm)) % 63.96/64.55 (define @t248 () (= tptp.xm @t247)) % 63.96/64.55 (define @t249 () (and (= tptp.xm (tptp.sdtpldt0 tptp.xm tptp.sz00)) @t248)) % 63.96/64.55 (define @t250 () (or @t152 @t249)) % 63.96/64.55 (define @t251 () (and @t248 @t245 @t161 @t155 @t242 @t238 @t210 @t230 @t183)) % 63.96/64.55 (define @t252 () (not @t183)) % 63.96/64.55 (define @t253 () (not @t210)) % 63.96/64.55 (define @t254 () (and @t213 @t211 @t166 @t101 @t109 @t115 @t118 @t183 @t171)) % 63.96/64.55 (assume @p1 (forall @t3 (=> @t2 true))) % 63.96/64.55 (assume @p2 @t4) % 63.96/64.55 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 63.96/64.55 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 63.96/64.55 (assume @p5 @t12) % 63.96/64.55 (assume @p6 @t15) % 63.96/64.55 (assume @p7 (forall @t21 (=> @t20 (= @t18 (tptp.sdtpldt0 @t1 @t17))))) % 63.96/64.55 (assume @p8 @t26) % 63.96/64.55 (assume @p9 @t29) % 63.96/64.55 (assume @p10 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t10 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))))) % 63.96/64.55 (assume @p11 @t34) % 63.96/64.55 (assume @p12 @t39) % 63.96/64.55 (assume @p13 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t10 @t41)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t27 @t40)))))) % 63.96/64.55 (assume @p14 (forall @t21 (=> @t20 (=> (or (= @t6 @t44) (= @t13 @t43)) @t42)))) % 63.96/64.55 (assume @p15 (forall @t3 (=> @t2 (=> @t49 (forall (@list @t5 @t16) (=> @t47 (=> (or @t46 @t45) @t42))))))) % 63.96/64.55 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t48 @t50))))) % 63.96/64.55 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t48 @t50))))) % 63.96/64.55 (assume @p18 (forall @t9 (=> @t8 (= @t53 (exists @t52 @t51))))) % 63.96/64.55 (assume @p19 @t59) % 63.96/64.55 (assume @p20 @t61) % 63.96/64.55 (assume @p21 (forall @t9 (=> @t8 (=> (and @t53 @t63) @t62)))) % 63.96/64.55 (assume @p22 (forall @t21 (=> @t20 (=> (and @t53 @t64) (tptp.sdtlseqdt0 @t1 @t16))))) % 63.96/64.55 (assume @p23 (forall @t9 (=> @t8 (or @t53 (and (not @t65) @t63))))) % 63.96/64.55 (assume @p24 (forall @t9 (=> @t8 (=> @t67 (forall @t52 (=> @t19 (and (not (= @t43 @t66)) (tptp.sdtlseqdt0 @t43 @t66) (not (= @t44 @t17)) (tptp.sdtlseqdt0 @t44 @t17)))))))) % 63.96/64.55 (assume @p25 @t72) % 63.96/64.55 (assume @p26 (forall @t3 (=> @t2 (or @t48 @t73 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 63.96/64.55 (assume @p27 (forall @t9 (=> @t8 (=> @t49 (tptp.sdtlseqdt0 @t5 @t27))))) % 63.96/64.55 (assume @p28 (forall @t9 (=> @t8 (=> @t74 true)))) % 63.96/64.55 (assume @p29 (forall @t9 (=> @t8 (=> @t67 @t74)))) % 63.96/64.55 (assume @p30 (forall @t9 (=> @t8 (= @t76 (exists @t52 @t75))))) % 63.96/64.55 (assume @p31 (forall @t9 (=> @t8 (=> @t78 (forall @t52 (= (= @t16 @t77) @t75)))))) % 63.96/64.55 (assume @p32 (forall @t21 (=> @t20 (=> (and @t76 (tptp.doDivides0 @t5 @t16)) @t79)))) % 63.96/64.55 (assume @p33 (forall @t21 (=> @t20 (=> (and @t76 @t79) @t80)))) % 63.96/64.55 (assume @p34 (forall @t21 (=> @t20 (=> (and @t76 @t80) @t79)))) % 63.96/64.55 (assume @p35 (forall @t9 (=> @t8 (=> (and @t76 (not @t50)) @t53)))) % 63.96/64.55 (assume @p36 (forall @t9 (=> @t8 (=> @t78 (forall @t52 (=> @t19 (= (tptp.sdtasdt0 @t16 @t77) (tptp.sdtsldt0 (tptp.sdtasdt0 @t16 @t5) @t1)))))))) % 63.96/64.55 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t49 @t83 (forall @t82 (=> (and @t7 @t81) (or (= @t5 tptp.sz10) @t65)))))))) % 63.96/64.55 (assume @p38 (forall @t3 (=> (and @t2 @t49 @t83) (exists @t82 (and @t7 @t81 (tptp.isPrime0 @t5)))))) % 63.96/64.55 (assume @p39 (and @t86 @t85 @t84)) % 63.96/64.55 (assume @p40 (forall @t21 (=> @t20 (=> (and (tptp.isPrime0 @t16) (tptp.doDivides0 @t16 @t10)) (=> (tptp.iLess0 @t18 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t16 @t1) (tptp.doDivides0 @t16 @t5))))))) % 63.96/64.55 (assume @p41 (and (tptp.isPrime0 tptp.xp) (tptp.doDivides0 tptp.xp @t87))) % 63.96/64.55 (assume @p42 @t88) % 63.96/64.55 (assume @p43 (= tptp.xr @t89)) % 63.96/64.55 (assume @p44 (and (not (= tptp.xr tptp.xn)) (tptp.sdtlseqdt0 tptp.xr tptp.xn))) % 63.96/64.55 (assume @p45 (= tptp.xn (tptp.sdtpldt0 tptp.xp tptp.xr))) % 63.96/64.55 (assume @p46 @t93) % 63.96/64.55 (assume @p47 @t96) % 63.96/64.55 (assume @p48 true) % 63.96/64.55 (step @p49 :rule refl :args (tptp.xm)) % 63.96/64.55 (step @p50 :rule cong :premises (@p43 @p49) :args (@t90)) % 63.96/64.55 (step @p51 :rule refl :args (@t91)) % 63.96/64.55 (step @p52 :rule cong :premises (@p51 @p50) :args (@t92)) % 63.96/64.55 (step @p53 :rule refl :args (@t87)) % 63.96/64.55 (step @p54 :rule cong :premises (@p53 @p52) :args (@t93)) % 63.96/64.55 (step @p55 :rule eq_resolve :premises (@p46 @p54)) % 63.96/64.55 (step @p56 :rule eq-symm :args (@t97 @t94)) % 63.96/64.55 (step @p57 :rule cong :premises (@p56) :args ((not (= @t97 @t94)))) % 63.96/64.55 (step @p58 :rule refl :args (@t94)) % 63.96/64.55 (step @p59 :rule cong :premises (@p50 @p58) :args (@t95)) % 63.96/64.55 (step @p60 :rule cong :premises (@p59) :args (@t96)) % 63.96/64.55 (step @p61 :rule trans :premises (@p60 @p57)) % 63.96/64.55 (step @p62 :rule eq_resolve :premises (@p47 @p61)) % 63.96/64.55 (step @p63 :rule bool-impl-elim :args (@t2 @t98)) % 63.96/64.55 (step @p64 :rule cong :premises (@p63) :args ((forall @t3 (=> @t2 @t98)))) % 63.96/64.55 (step @p65 :rule refl :args (@t30)) % 63.96/64.55 (step @p66 :rule eq-symm :args (@t31 @t1)) % 63.96/64.55 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t32)) % 63.96/64.55 (step @p68 :rule refl :args (@t2)) % 63.96/64.55 (step @p69 :rule cong :premises (@p68 @p67) :args (@t33)) % 63.96/64.55 (step @p70 :rule cong :premises (@p69) :args (@t34)) % 63.96/64.55 (step @p71 :rule trans :premises (@p70 @p64)) % 63.96/64.55 (step @p72 :rule eq_resolve :premises (@p11 @p71)) % 63.96/64.55 (step @p73 :rule instantiate :premises (@p72) :args (@t99)) % 63.96/64.55 (step @p74 :rule and_elim :premises (@p39) :args (0)) % 63.96/64.55 (step @p75 :rule cnf_or_pos :args (@t104)) % 63.96/64.55 (step @p76 :rule reordering :premises (@p75) :args ((or @t103 @t102 (not @t104)))) % 63.96/64.55 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p73) :args (@t102 @t105 (@list @t86 @t104))) % 63.96/64.55 (step @p78 :rule cnf_and_pos :args (@t102 1)) % 63.96/64.55 (step @p79 :rule reordering :premises (@p78) :args ((or @t101 (not @t102)))) % 63.96/64.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t101 @t106 (@list @t102))) % 63.96/64.55 (step @p81 :rule instantiate :premises (@p72) :args (@t107)) % 63.96/64.55 (step @p82 :rule and_elim :premises (@p39) :args (2)) % 63.96/64.55 (step @p83 :rule cnf_or_pos :args (@t112)) % 63.96/64.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t111 @t110 (not @t112)))) % 63.96/64.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p81) :args (@t110 @t105 (@list @t84 @t112))) % 63.96/64.55 (step @p86 :rule cnf_and_pos :args (@t110 1)) % 63.96/64.55 (step @p87 :rule reordering :premises (@p86) :args ((or @t109 (not @t110)))) % 63.96/64.55 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t109 @t106 (@list @t110))) % 63.96/64.55 (step @p89 :rule bool-impl-elim :args (@t2 @t113)) % 63.96/64.55 (step @p90 :rule cong :premises (@p89) :args ((forall @t3 (=> @t2 @t113)))) % 63.96/64.55 (step @p91 :rule refl :args (@t35)) % 63.96/64.55 (step @p92 :rule eq-symm :args (@t36 tptp.sz00)) % 63.96/64.55 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t37)) % 63.96/64.55 (step @p94 :rule cong :premises (@p68 @p93) :args (@t38)) % 63.96/64.55 (step @p95 :rule cong :premises (@p94) :args (@t39)) % 63.96/64.55 (step @p96 :rule trans :premises (@p95 @p90)) % 63.96/64.55 (step @p97 :rule eq_resolve :premises (@p12 @p96)) % 63.96/64.55 (step @p98 :rule instantiate :premises (@p97) :args (@t99)) % 63.96/64.55 (step @p99 :rule cnf_or_pos :args (@t117)) % 63.96/64.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t103 @t116 (not @t117)))) % 63.96/64.55 (step @p101 :rule chain_m_resolution :premises (@p100 @p74 @p98) :args (@t116 @t105 (@list @t86 @t117))) % 63.96/64.55 (step @p102 :rule cnf_and_pos :args (@t116 0)) % 63.96/64.55 (step @p103 :rule reordering :premises (@p102) :args ((or @t115 (not @t116)))) % 63.96/64.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t115 @t106 (@list @t116))) % 63.96/64.55 (step @p105 :rule instantiate :premises (@p97) :args (@t107)) % 63.96/64.55 (step @p106 :rule cnf_or_pos :args (@t120)) % 63.96/64.55 (step @p107 :rule reordering :premises (@p106) :args ((or @t111 @t119 (not @t120)))) % 63.96/64.55 (step @p108 :rule chain_m_resolution :premises (@p107 @p82 @p105) :args (@t119 @t105 (@list @t84 @t120))) % 63.96/64.55 (step @p109 :rule cnf_and_pos :args (@t119 0)) % 63.96/64.55 (step @p110 :rule reordering :premises (@p109) :args ((or @t118 (not @t119)))) % 63.96/64.55 (step @p111 :rule chain_m_resolution :premises (@p110 @p108) :args (@t118 @t106 (@list @t119))) % 63.96/64.55 (step @p112 :rule aci_norm :args ((= (or @t123 @t14) (or @t122 @t121 @t14)))) % 63.96/64.55 (step @p113 :rule refl :args (@t14)) % 63.96/64.55 (step @p114 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 63.96/64.55 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t124 @t14))) % 63.96/64.55 (step @p116 :rule trans :premises (@p115 @p112)) % 63.96/64.55 (step @p117 :rule bool-impl-elim :args (@t8 @t14)) % 63.96/64.55 (step @p118 :rule trans :premises (@p117 @p116)) % 63.96/64.55 (step @p119 :rule cong :premises (@p118) :args (@t15)) % 63.96/64.55 (step @p120 :rule eq_resolve :premises (@p6 @p119)) % 63.96/64.55 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t91 @t97))) % 63.96/64.55 (step @p122 :rule aci_norm :args ((= (or @t123 @t11) (or @t122 @t121 @t11)))) % 63.96/64.55 (step @p123 :rule refl :args (@t11)) % 63.96/64.55 (step @p124 :rule nary_cong :premises (@p114 @p123) :args ((or @t124 @t11))) % 63.96/64.55 (step @p125 :rule trans :premises (@p124 @p122)) % 63.96/64.55 (step @p126 :rule bool-impl-elim :args (@t8 @t11)) % 63.96/64.55 (step @p127 :rule trans :premises (@p126 @p125)) % 63.96/64.55 (step @p128 :rule cong :premises (@p127) :args (@t12)) % 63.96/64.55 (step @p129 :rule eq_resolve :premises (@p5 @p128)) % 63.96/64.55 (step @p130 :rule instantiate :premises (@p129) :args ((@list tptp.xm @t89))) % 63.96/64.55 (step @p131 :rule eq-symm :args (@t126 @t127)) % 63.96/64.55 (step @p132 :rule refl :args (@t127)) % 63.96/64.55 (step @p133 :rule eq-symm :args (@t125 @t54)) % 63.96/64.55 (step @p134 :rule cong :premises (@p133 @p132) :args (@t128)) % 63.96/64.55 (step @p135 :rule trans :premises (@p134 @p131)) % 63.96/64.55 (step @p136 :rule refl :args (@t129)) % 63.96/64.55 (step @p137 :rule refl :args (@t121)) % 63.96/64.55 (step @p138 :rule refl :args (@t122)) % 63.96/64.55 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135) :args (@t130)) % 63.96/64.55 (step @p140 :rule cong :premises (@p139) :args (@t132)) % 63.96/64.55 (step @p141 :rule quant-merge-prenex :args ((= (forall @t9 @t134) @t132))) % 63.96/64.55 (step @p142 :rule alpha_equiv :args (@t135 (@list @t125) (@list @t16))) % 63.96/64.55 (step @p143 :rule refl :args (@t129)) % 63.96/64.55 (step @p144 :rule refl :args (@t121)) % 63.96/64.55 (step @p145 :rule refl :args (@t122)) % 63.96/64.55 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t136)) % 63.96/64.55 (step @p147 :rule quant-miniscope-or :args ((= @t134 @t136))) % 63.96/64.55 (step @p148 :rule trans :premises (@p147 @p146)) % 63.96/64.55 (step @p149 :rule symm :premises (@p148)) % 63.96/64.55 (step @p150 :rule cong :premises (@p149) :args ((forall @t9 @t139))) % 63.96/64.55 (step @p151 :rule trans :premises (@p150 @p141)) % 63.96/64.55 (step @p152 :rule trans :premises (@p151 @p140)) % 63.96/64.55 (step @p153 :rule aci_norm :args ((= (or @t123 (or @t129 @t138)) @t139))) % 63.96/64.55 (step @p154 :rule bool-impl-elim :args (@t53 @t138)) % 63.96/64.55 (step @p155 :rule nary_cong :premises (@p114 @p154) :args ((or @t124 @t140))) % 63.96/64.55 (step @p156 :rule trans :premises (@p155 @p153)) % 63.96/64.55 (step @p157 :rule bool-impl-elim :args (@t8 @t140)) % 63.96/64.55 (step @p158 :rule trans :premises (@p157 @p156)) % 63.96/64.55 (step @p159 :rule cong :premises (@p158) :args ((forall @t9 (=> @t8 @t140)))) % 63.96/64.55 (step @p160 :rule trans :premises (@p159 @p152)) % 63.96/64.55 (step @p161 :rule eq-symm :args (@t137 @t55)) % 63.96/64.55 (step @p162 :rule refl :args (@t55)) % 63.96/64.55 (step @p163 :rule eq-symm :args (@t44 @t5)) % 63.96/64.55 (step @p164 :rule refl :args (@t19)) % 63.96/64.55 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t51)) % 63.96/64.55 (step @p166 :rule cong :premises (@p165 @p162) :args ((= @t51 @t55))) % 63.96/64.55 (step @p167 :rule trans :premises (@p166 @p161)) % 63.96/64.55 (step @p168 :rule eq-symm :args (@t55 @t51)) % 63.96/64.55 (step @p169 :rule trans :premises (@p168 @p167)) % 63.96/64.55 (step @p170 :rule cong :premises (@p169) :args (@t56)) % 63.96/64.55 (step @p171 :rule refl :args (@t53)) % 63.96/64.55 (step @p172 :rule cong :premises (@p171 @p170) :args (@t57)) % 63.96/64.55 (step @p173 :rule refl :args (@t8)) % 63.96/64.55 (step @p174 :rule cong :premises (@p173 @p172) :args (@t58)) % 63.96/64.55 (step @p175 :rule cong :premises (@p174) :args (@t59)) % 63.96/64.55 (step @p176 :rule trans :premises (@p175 @p160)) % 63.96/64.55 (step @p177 :rule eq_resolve :premises (@p19 @p176)) % 63.96/64.55 (step @p178 :rule bool-eq-true :args (@t142)) % 63.96/64.55 (step @p179 :rule eq-symm :args (true @t142)) % 63.96/64.55 (step @p180 :rule trans :premises (@p179 @p178)) % 63.96/64.55 (step @p181 :rule refl :args (@t142)) % 63.96/64.55 (step @p182 :rule eq-refl :args (@t89)) % 63.96/64.55 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t143 @t142))) % 63.96/64.55 (step @p184 :rule trans :premises (@p183 @p180)) % 63.96/64.55 (step @p185 :rule eq-symm :args (@t142 @t143)) % 63.96/64.55 (step @p186 :rule trans :premises (@p185 @p184)) % 63.96/64.55 (step @p187 :rule refl :args (@t144)) % 63.96/64.55 (step @p188 :rule refl :args (@t103)) % 63.96/64.55 (step @p189 :rule refl :args (@t111)) % 63.96/64.55 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187 @p186) :args (@t145)) % 63.96/64.55 (step @p191 :rule refl :args (@t146)) % 63.96/64.55 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t146 @t145))) % 63.96/64.55 (assume-push @p559 @t146) % 63.96/64.55 (step @p194 :rule instantiate :premises (@p177) :args ((@list tptp.xp tptp.xn @t89))) % 63.96/64.55 (step-pop @p560 :rule scope :premises (@p194)) % 63.96/64.55 (step @p195 :rule process_scope :premises (@p560) :args (@t145)) % 63.96/64.55 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 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instantiate :premises (@p97) :args (@t236)) % 63.96/64.56 (step @p409 :rule cnf_or_pos :args (@t240)) % 63.96/64.56 (step @p410 :rule reordering :premises (@p409) :args ((or @t152 @t239 (not @t240)))) % 63.96/64.56 (step @p411 :rule chain_m_resolution :premises (@p410 @p206 @p408) :args (@t239 @t105 (@list @t85 @t240))) % 63.96/64.56 (step @p412 :rule cnf_and_pos :args (@t239 0)) % 63.96/64.56 (step @p413 :rule reordering :premises (@p412) :args ((or @t238 (not @t239)))) % 63.96/64.56 (step @p414 :rule chain_m_resolution :premises (@p413 @p411) :args (@t238 @t106 (@list @t239))) % 63.96/64.56 (step @p415 :rule instantiate :premises (@p72) :args (@t236)) % 63.96/64.56 (step @p416 :rule cnf_or_pos :args (@t244)) % 63.96/64.56 (step @p417 :rule reordering :premises (@p416) :args ((or @t152 @t243 (not @t244)))) % 63.96/64.56 (step @p418 :rule chain_m_resolution :premises (@p417 @p206 @p415) :args (@t243 @t105 (@list @t85 @t244))) % 63.96/64.56 (step @p419 :rule cnf_and_pos :args (@t243 1)) % 63.96/64.56 (step @p420 :rule reordering :premises (@p419) :args ((or @t242 (not @t243)))) % 63.96/64.56 (step @p421 :rule chain_m_resolution :premises (@p420 @p418) :args (@t242 @t106 (@list @t243))) % 63.96/64.56 (step @p422 :rule instantiate :premises (@p218) :args (@t187)) % 63.96/64.56 (step @p423 :rule cnf_or_pos :args (@t246)) % 63.96/64.56 (step @p424 :rule reordering :premises (@p423) :args ((or @t103 @t152 @t245 (not @t246)))) % 63.96/64.56 (step @p425 :rule chain_m_resolution :premises (@p424 @p74 @p206 @p422) :args (@t245 @t154 (@list @t86 @t85 @t246))) % 63.96/64.56 (step @p426 :rule instantiate :premises (@p249) :args (@t236)) % 63.96/64.56 (step @p427 :rule cnf_or_pos :args (@t250)) % 63.96/64.56 (step @p428 :rule reordering :premises (@p427) :args ((or @t152 @t249 (not @t250)))) % 63.96/64.56 (step @p429 :rule chain_m_resolution :premises (@p428 @p206 @p426) :args (@t249 @t105 (@list @t85 @t250))) % 63.96/64.56 (step @p430 :rule cnf_and_pos :args (@t249 1)) % 63.96/64.56 (step @p431 :rule reordering :premises (@p430) :args ((or @t248 (not @t249)))) % 63.96/64.56 (step @p432 :rule chain_m_resolution :premises (@p431 @p429) :args (@t248 @t106 (@list @t249))) % 63.96/64.56 (assume-push @p569 @t248) % 63.96/64.56 (assume-push @p570 @t245) % 63.96/64.56 (assume-push @p571 @t161) % 63.96/64.56 (assume-push @p572 @t155) % 63.96/64.56 (assume-push @p573 @t242) % 63.96/64.56 (assume-push @p574 @t238) % 63.96/64.56 (assume-push @p575 @t210) % 63.96/64.56 (assume-push @p576 @t230) % 63.96/64.56 (assume-push @p577 @t183) % 63.96/64.56 (assume-push @p578 @t155) % 63.96/64.56 (assume-push @p579 @t248) % 63.96/64.56 (assume-push @p580 @t210) % 63.96/64.56 (assume-push @p581 @t230) % 63.96/64.56 (assume-push @p582 @t238) % 63.96/64.56 (assume-push @p583 @t183) % 63.96/64.56 (assume-push @p584 @t245) % 63.96/64.56 (assume-push @p585 @t242) % 63.96/64.56 (assume-push @p586 @t161) % 63.96/64.56 (step @p451 :rule symm :premises (@p222)) % 63.96/64.56 (step @p452 :rule refl :args (@t89)) % 63.96/64.56 (step @p453 :rule symm :premises (@p432)) % 63.96/64.56 (step @p454 :rule cong :premises (@p453 @p452) :args ((tptp.sdtasdt0 @t247 @t89))) % 63.96/64.56 (step @p455 :rule refl :args (tptp.xn)) % 63.96/64.56 (step @p456 :rule cong :premises (@p455 @p575) :args (@t223)) % 63.96/64.56 (step @p457 :rule trans :premises (@p407 @p456)) % 63.96/64.56 (step @p458 :rule cong :premises (@p432 @p457) :args (@t237)) % 63.96/64.56 (step @p459 :rule symm :premises (@p298)) % 63.96/64.56 (step @p460 :rule symm :premises (@p425)) % 63.96/64.56 (step @p461 :rule symm :premises (@p575)) % 63.96/64.56 (step @p462 :rule symm :premises (@p421)) % 63.96/64.56 (step @p463 :rule cong :premises (@p462 @p461) :args ((tptp.sdtasdt0 @t241 tptp.xp))) % 63.96/64.56 (step @p464 :rule refl :args (tptp.xp)) % 63.96/64.56 (step @p465 :rule cong :premises (@p421 @p464) :args (@t158)) % 63.96/64.56 (step @p466 :rule trans :premises (@p234 @p465 @p463 @p460)) % 63.96/64.56 (step @p467 :rule cong :premises (@p53 @p466) :args (@t94)) % 63.96/64.56 (step @p468 :rule trans :premises (@p467 @p459 @p414 @p458 @p454 @p451)) % 63.96/64.56 (step-pop @p587 :rule scope :premises (@p468)) % 63.96/64.56 (step-pop @p588 :rule scope :premises (@p587)) % 63.96/64.56 (step-pop @p589 :rule scope :premises (@p588)) % 63.96/64.56 (step-pop @p590 :rule scope :premises (@p589)) % 63.96/64.56 (step-pop @p591 :rule scope :premises (@p590)) % 63.96/64.56 (step-pop @p592 :rule scope :premises (@p591)) % 63.96/64.56 (step-pop @p593 :rule scope :premises (@p592)) % 63.96/64.56 (step-pop @p594 :rule scope :premises (@p593)) % 63.96/64.56 (step-pop @p595 :rule scope :premises (@p594)) % 63.96/64.56 (step @p469 :rule process_scope :premises (@p595) :args (@t215)) % 63.96/64.56 (step @p479 :rule and_intro :premises (@p222 @p432 @p575 @p407 @p414 @p298 @p425 @p421 @p234)) % 63.96/64.56 (step @p480 :rule modus_ponens :premises (@p479 @p469)) % 63.96/64.56 (step-pop @p596 :rule scope :premises (@p480)) % 63.96/64.56 (step-pop @p597 :rule scope :premises (@p596)) % 63.96/64.56 (step-pop @p598 :rule scope :premises (@p597)) % 63.96/64.56 (step-pop @p599 :rule scope :premises (@p598)) % 63.96/64.56 (step-pop @p600 :rule scope :premises (@p599)) % 63.96/64.56 (step-pop @p601 :rule scope :premises (@p600)) % 63.96/64.56 (step-pop @p602 :rule scope :premises (@p601)) % 63.96/64.56 (step-pop @p603 :rule scope :premises (@p602)) % 63.96/64.56 (step-pop @p604 :rule scope :premises (@p603)) % 63.96/64.56 (step @p481 :rule process_scope :premises (@p604) :args (@t215)) % 63.96/64.56 (step @p491 :rule implies_elim :premises (@p481)) % 63.96/64.56 (step @p492 :rule cnf_and_neg :args (@t251)) % 63.96/64.56 (step @p493 :rule resolution :premises (@p492 @p491) :args (true @t251)) % 63.96/64.56 (step @p494 :rule reordering :premises (@p493) :args ((or @t215 @t253 (not @t248) (not @t245) (not @t161) (not @t155) (not @t242) (not @t238) (not @t230) @t252))) % 63.96/64.56 (step @p495 :rule chain_m_resolution :premises (@p494 @p62 @p432 @p425 @p234 @p222 @p421 @p414 @p407 @p298) :args (@t253 (@list true false false false false false false false false) (@list @t215 @t248 @t245 @t161 @t155 @t242 @t238 @t230 @t183))) % 63.96/64.56 (step @p496 :rule cnf_or_pos :args (@t212)) % 63.96/64.56 (step @p497 :rule reordering :premises (@p496) :args ((or @t103 @t152 @t111 @t144 @t211 @t210 @t209 (not @t212)))) % 63.96/64.56 (step @p498 :rule chain_m_resolution :premises (@p497 @p74 @p206 @p82 @p42 @p495 @p373 @p349) :args (@t211 (@list false false false false true true false) (@list @t86 @t85 @t84 @t88 @t210 @t209 @t212))) % 63.96/64.56 (assume-push @p605 @t213) % 63.96/64.56 (assume-push @p606 @t211) % 63.96/64.56 (assume-push @p607 @t166) % 63.96/64.56 (assume-push @p608 @t101) % 63.96/64.56 (assume-push @p609 @t109) % 63.96/64.56 (assume-push @p610 @t115) % 63.96/64.56 (assume-push @p611 @t118) % 63.96/64.56 (assume-push @p612 @t183) % 63.96/64.56 (assume-push @p613 @t171) % 63.96/64.56 (assume-push @p614 @t171) % 63.96/64.56 (assume-push @p615 @t118) % 63.96/64.56 (assume-push @p616 @t109) % 63.96/64.56 (assume-push @p617 @t211) % 63.96/64.56 (assume-push @p618 @t166) % 63.96/64.56 (assume-push @p619 @t213) % 63.96/64.56 (assume-push @p620 @t101) % 63.96/64.56 (assume-push @p621 @t115) % 63.96/64.56 (assume-push @p622 @t183) % 63.96/64.56 (step @p517 :rule symm :premises (@p256)) % 63.96/64.56 (step @p518 :rule symm :premises (@p111)) % 63.96/64.56 (step @p519 :rule symm :premises (@p606)) % 63.96/64.56 (step @p520 :rule symm :premises (@p88)) % 63.96/64.56 (step @p521 :rule cong :premises (@p520 @p519) :args ((tptp.sdtasdt0 @t108 tptp.xm))) % 63.96/64.56 (step @p522 :rule cong :premises (@p88 @p49) :args (@t91)) % 63.96/64.56 (step @p523 :rule trans :premises (@p522 @p521 @p518)) % 63.96/64.56 (step @p524 :rule refl :args (@t97)) % 63.96/64.56 (step @p525 :rule cong :premises (@p524 @p523) :args (@t164)) % 63.96/64.56 (step @p526 :rule symm :premises (@p80)) % 63.96/64.56 (step @p527 :rule cong :premises (@p526 @p49) :args ((tptp.sdtasdt0 @t100 tptp.xm))) % 63.96/64.56 (step @p528 :rule cong :premises (@p80 @p606) :args (@t114)) % 63.96/64.56 (step @p459 :rule symm :premises (@p298)) % 63.96/64.56 (step @p529 :rule trans :premises (@p522 @p521 @p518 @p104 @p528 @p527)) % 63.96/64.56 (step @p530 :rule cong :premises (@p53 @p529) :args (@t94)) % 63.96/64.56 (step @p531 :rule trans :premises (@p530 @p459 @p104 @p528 @p527 @p55 @p240 @p525 @p517)) % 63.96/64.56 (step-pop @p623 :rule scope :premises (@p531)) % 63.96/64.56 (step-pop @p624 :rule scope :premises (@p623)) % 63.96/64.56 (step-pop @p625 :rule scope :premises (@p624)) % 63.96/64.56 (step-pop @p626 :rule scope :premises (@p625)) % 63.96/64.56 (step-pop @p627 :rule scope :premises (@p626)) % 63.96/64.56 (step-pop @p628 :rule scope :premises (@p627)) % 63.96/64.56 (step-pop @p629 :rule scope :premises (@p628)) % 63.96/64.56 (step-pop @p630 :rule scope :premises (@p629)) % 63.96/64.56 (step-pop @p631 :rule scope :premises (@p630)) % 63.96/64.56 (step @p532 :rule process_scope :premises (@p631) :args (@t215)) % 63.96/64.56 (step @p542 :rule and_intro :premises (@p256 @p111 @p88 @p606 @p240 @p55 @p80 @p104 @p298)) % 63.96/64.56 (step @p543 :rule modus_ponens :premises (@p542 @p532)) % 63.96/64.56 (step-pop @p632 :rule scope :premises (@p543)) % 63.96/64.56 (step-pop @p633 :rule scope :premises (@p632)) % 63.96/64.56 (step-pop @p634 :rule scope :premises (@p633)) % 63.96/64.56 (step-pop @p635 :rule scope :premises (@p634)) % 63.96/64.56 (step-pop @p636 :rule scope :premises (@p635)) % 63.96/64.56 (step-pop @p637 :rule scope :premises (@p636)) % 63.96/64.56 (step-pop @p638 :rule scope :premises (@p637)) % 63.96/64.56 (step-pop @p639 :rule scope :premises (@p638)) % 63.96/64.56 (step-pop @p640 :rule scope :premises (@p639)) % 63.96/64.56 (step @p544 :rule process_scope :premises (@p640) :args (@t215)) % 63.96/64.56 (step @p554 :rule implies_elim :premises (@p544)) % 63.96/64.56 (step @p555 :rule cnf_and_neg :args (@t254)) % 63.96/64.56 (step @p556 :rule resolution :premises (@p555 @p554) :args (true @t254)) % 63.96/64.56 (step @p557 :rule reordering :premises (@p556) :args ((or @t215 @t220 (not @t211) (not @t166) (not @t101) (not @t109) (not @t115) (not @t118) @t252 (not @t171)))) % 63.96/64.56 (step @p558 false :rule chain_m_resolution :premises (@p557 @p498 @p298 @p256 @p240 @p111 @p104 @p88 @p80 @p62 @p55) :args (false (@list false false false false false false false false true false) (@list @t211 @t183 @t171 @t166 @t118 @t115 @t109 @t101 @t215 @t213))) % 63.96/64.56 ) % 63.96/64.56 % SZS output end Proof % 63.96/64.56 % cvc5 exiting %------------------------------------------------------------------------------