%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM515+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 : n005.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 81.56s 81.70s % Output : Proof 81.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM515+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 : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:26:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 81.56/81.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 81.56/81.70 --- Run --no-e-matching --full-saturate-quant at 6... % 81.56/81.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 81.56/81.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 81.56/81.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 81.56/81.70 --- Run --trigger-sel=max --full-saturate-quant at 15... % 81.56/81.70 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 81.56/81.70 % SZS status Theorem % 81.56/81.70 % SZS output start Proof % 81.56/81.70 ( % 81.56/81.70 (declare-sort $$unsorted 0) % 81.56/81.70 (declare-const tptp.xr $$unsorted) % 81.56/81.70 (declare-const tptp.xk $$unsorted) % 81.56/81.70 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 81.56/81.70 (declare-const tptp.xm $$unsorted) % 81.56/81.70 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 81.56/81.70 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 81.56/81.70 (declare-const tptp.xn $$unsorted) % 81.56/81.70 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 81.56/81.70 (declare-const tptp.sz00 $$unsorted) % 81.56/81.70 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 81.56/81.70 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 81.56/81.70 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 81.56/81.70 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 81.56/81.70 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 81.56/81.70 (declare-const tptp.sz10 $$unsorted) % 81.56/81.70 (declare-const tptp.xp $$unsorted) % 81.56/81.70 (define @t1 () (@var "W0" $$unsorted)) % 81.56/81.70 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 81.56/81.70 (define @t3 () (@list @t1)) % 81.56/81.70 (define @t4 () (@var "W1" $$unsorted)) % 81.56/81.70 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 81.56/81.70 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 81.56/81.70 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 81.56/81.70 (define @t8 () (and @t2 @t7)) % 81.56/81.70 (define @t9 () (@list @t1 @t4)) % 81.56/81.70 (define @t10 () (forall @t9 (=> @t8 @t6))) % 81.56/81.70 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 81.56/81.70 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 81.56/81.70 (define @t13 () (= @t5 @t12)) % 81.56/81.70 (define @t14 () (forall @t9 (=> @t8 @t13))) % 81.56/81.70 (define @t15 () (@var "W2" $$unsorted)) % 81.56/81.70 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 81.56/81.70 (define @t17 () (tptp.sdtpldt0 @t5 @t15)) % 81.56/81.70 (define @t18 () (= @t17 (tptp.sdtpldt0 @t1 @t16))) % 81.56/81.70 (define @t19 () (tptp.aNaturalNumber0 @t15)) % 81.56/81.70 (define @t20 () (and @t2 @t7 @t19)) % 81.56/81.70 (define @t21 () (@list @t1 @t4 @t15)) % 81.56/81.70 (define @t22 () (forall @t21 (=> @t20 @t18))) % 81.56/81.70 (define @t23 () (tptp.sdtasdt0 @t4 @t1)) % 81.56/81.70 (define @t24 () (tptp.sdtasdt0 @t15 @t1)) % 81.56/81.70 (define @t25 () (tptp.sdtasdt0 @t1 @t15)) % 81.56/81.70 (define @t26 () (= @t4 @t15)) % 81.56/81.70 (define @t27 () (tptp.sdtpldt0 @t15 @t1)) % 81.56/81.70 (define @t28 () (tptp.sdtpldt0 @t1 @t15)) % 81.56/81.70 (define @t29 () (= @t23 @t24)) % 81.56/81.70 (define @t30 () (= @t11 @t25)) % 81.56/81.70 (define @t31 () (and @t7 @t19)) % 81.56/81.70 (define @t32 () (= @t1 tptp.sz00)) % 81.56/81.70 (define @t33 () (not @t32)) % 81.56/81.70 (define @t34 () (= @t4 tptp.sz00)) % 81.56/81.70 (define @t35 () (and @t19 (= @t28 @t4))) % 81.56/81.70 (define @t36 () (@list @t15)) % 81.56/81.70 (define @t37 () (tptp.sdtlseqdt0 @t1 @t4)) % 81.56/81.70 (define @t38 () (= @t1 @t4)) % 81.56/81.70 (define @t39 () (tptp.sdtlseqdt0 @t4 @t1)) % 81.56/81.70 (define @t40 () (tptp.sdtlseqdt0 @t4 @t15)) % 81.56/81.70 (define @t41 () (= @t4 @t1)) % 81.56/81.70 (define @t42 () (tptp.sdtlseqdt0 @t28 @t16)) % 81.56/81.70 (define @t43 () (not (= @t28 @t16))) % 81.56/81.70 (define @t44 () (tptp.sdtpldt0 @t15 @t4)) % 81.56/81.70 (define @t45 () (tptp.sdtlseqdt0 @t27 @t44)) % 81.56/81.70 (define @t46 () (not (= @t27 @t44))) % 81.56/81.70 (define @t47 () (and @t46 @t45 @t43 @t42)) % 81.56/81.70 (define @t48 () (=> @t19 @t47)) % 81.56/81.70 (define @t49 () (forall @t36 @t48)) % 81.56/81.70 (define @t50 () (not @t38)) % 81.56/81.70 (define @t51 () (and @t50 @t37)) % 81.56/81.70 (define @t52 () (=> @t51 @t49)) % 81.56/81.70 (define @t53 () (=> @t8 @t52)) % 81.56/81.70 (define @t54 () (forall @t9 @t53)) % 81.56/81.70 (define @t55 () (= @t1 tptp.sz10)) % 81.56/81.70 (define @t56 () (tptp.iLess0 @t1 @t4)) % 81.56/81.70 (define @t57 () (=> @t51 @t56)) % 81.56/81.70 (define @t58 () (forall @t9 (=> @t8 @t57))) % 81.56/81.70 (define @t59 () (and @t19 (= @t4 @t25))) % 81.56/81.70 (define @t60 () (tptp.doDivides0 @t1 @t4)) % 81.56/81.70 (define @t61 () (tptp.sdtsldt0 @t4 @t1)) % 81.56/81.70 (define @t62 () (= @t15 @t61)) % 81.56/81.70 (define @t63 () (forall @t36 (= @t62 @t59))) % 81.56/81.70 (define @t64 () (and @t33 @t60)) % 81.56/81.70 (define @t65 () (=> @t64 @t63)) % 81.56/81.70 (define @t66 () (=> @t8 @t65)) % 81.56/81.70 (define @t67 () (forall @t9 @t66)) % 81.56/81.70 (define @t68 () (tptp.doDivides0 @t1 @t15)) % 81.56/81.70 (define @t69 () (tptp.doDivides0 @t1 @t16)) % 81.56/81.70 (define @t70 () (or (= @t4 tptp.sz10) @t41)) % 81.56/81.70 (define @t71 () (tptp.doDivides0 @t4 @t1)) % 81.56/81.70 (define @t72 () (and @t7 @t71)) % 81.56/81.70 (define @t73 () (=> @t72 @t70)) % 81.56/81.70 (define @t74 () (@list @t4)) % 81.56/81.70 (define @t75 () (forall @t74 @t73)) % 81.56/81.70 (define @t76 () (not @t55)) % 81.56/81.70 (define @t77 () (and @t33 @t76 @t75)) % 81.56/81.70 (define @t78 () (tptp.isPrime0 @t1)) % 81.56/81.70 (define @t79 () (= @t78 @t77)) % 81.56/81.70 (define @t80 () (=> @t2 @t79)) % 81.56/81.70 (define @t81 () (forall @t3 @t80)) % 81.56/81.70 (define @t82 () (tptp.aNaturalNumber0 tptp.xp)) % 81.56/81.70 (define @t83 () (tptp.aNaturalNumber0 tptp.xm)) % 81.56/81.70 (define @t84 () (tptp.aNaturalNumber0 tptp.xn)) % 81.56/81.70 (define @t85 () (tptp.doDivides0 @t15 @t4)) % 81.56/81.70 (define @t86 () (tptp.doDivides0 @t15 @t1)) % 81.56/81.70 (define @t87 () (or @t86 @t85)) % 81.56/81.70 (define @t88 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 81.56/81.70 (define @t89 () (tptp.sdtpldt0 @t88 tptp.xp)) % 81.56/81.70 (define @t90 () (tptp.iLess0 @t17 @t89)) % 81.56/81.70 (define @t91 () (=> @t90 @t87)) % 81.56/81.70 (define @t92 () (tptp.doDivides0 @t15 @t11)) % 81.56/81.70 (define @t93 () (tptp.isPrime0 @t15)) % 81.56/81.70 (define @t94 () (and @t93 @t92)) % 81.56/81.70 (define @t95 () (=> @t94 @t91)) % 81.56/81.70 (define @t96 () (forall @t21 (=> @t20 @t95))) % 81.56/81.70 (define @t97 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 81.56/81.70 (define @t98 () (tptp.isPrime0 tptp.xp)) % 81.56/81.70 (define @t99 () (= tptp.xk tptp.sz10)) % 81.56/81.70 (define @t100 () (= tptp.xk tptp.sz00)) % 81.56/81.70 (define @t101 () (tptp.isPrime0 tptp.xr)) % 81.56/81.70 (define @t102 () (tptp.aNaturalNumber0 tptp.xr)) % 81.56/81.70 (define @t103 () (tptp.doDivides0 tptp.xr tptp.xn)) % 81.56/81.70 (define @t104 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 81.56/81.70 (define @t105 () (tptp.sdtlseqdt0 @t104 tptp.xn)) % 81.56/81.70 (define @t106 () (= @t104 tptp.xn)) % 81.56/81.70 (define @t107 () (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 @t104 tptp.xm))) % 81.56/81.70 (define @t108 () (tptp.doDivides0 tptp.xp tptp.xm)) % 81.56/81.70 (define @t109 () (tptp.doDivides0 tptp.xp @t104)) % 81.56/81.70 (define @t110 () (not @t90)) % 81.56/81.70 (define @t111 () (not @t92)) % 81.56/81.70 (define @t112 () (not @t93)) % 81.56/81.70 (define @t113 () (not @t19)) % 81.56/81.70 (define @t114 () (not @t7)) % 81.56/81.70 (define @t115 () (not @t2)) % 81.56/81.70 (define @t116 () (or @t112 @t111 @t110 @t86 @t85)) % 81.56/81.70 (define @t117 () (or @t115 @t114 @t113)) % 81.56/81.70 (define @t118 () (or @t110 @t86 @t85)) % 81.56/81.70 (define @t119 () (not @t20)) % 81.56/81.70 (define @t120 () (@list @t104 tptp.xm tptp.xp)) % 81.56/81.70 (define @t121 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 81.56/81.70 (define @t122 () (and (tptp.aNaturalNumber0 @t121) (= @t4 (tptp.sdtasdt0 @t1 @t121)))) % 81.56/81.70 (define @t123 () (= @t122 (= @t121 @t61))) % 81.56/81.70 (define @t124 () (not @t60)) % 81.56/81.70 (define @t125 () (or @t115 @t114 @t32 @t124 @t123)) % 81.56/81.70 (define @t126 () (@list @t1 @t4 @t121)) % 81.56/81.70 (define @t127 () (forall @t126 @t125)) % 81.56/81.70 (define @t128 () (@list @t121)) % 81.56/81.70 (define @t129 () (forall @t128 @t125)) % 81.56/81.70 (define @t130 () (forall @t128 @t123)) % 81.56/81.70 (define @t131 () (@list @t15)) % 81.56/81.70 (define @t132 () (or @t115 @t114 @t32 @t124 @t130)) % 81.56/81.70 (define @t133 () (forall @t36 (= @t59 @t62))) % 81.56/81.70 (define @t134 () (or @t115 @t114 @t32 @t124 @t133)) % 81.56/81.70 (define @t135 () (or @t32 @t124 @t133)) % 81.56/81.70 (define @t136 () (or @t115 @t114)) % 81.56/81.70 (define @t137 () (=> @t64 @t133)) % 81.56/81.70 (define @t138 () (not @t8)) % 81.56/81.70 (define @t139 () (tptp.aNaturalNumber0 @t104)) % 81.56/81.70 (define @t140 () (and @t139 (= tptp.xn (tptp.sdtasdt0 tptp.xr @t104)))) % 81.56/81.70 (define @t141 () (= @t140 (= @t104 @t104))) % 81.56/81.70 (define @t142 () (not @t103)) % 81.56/81.70 (define @t143 () (not @t84)) % 81.56/81.70 (define @t144 () (not @t102)) % 81.56/81.70 (define @t145 () (= tptp.xr tptp.sz00)) % 81.56/81.70 (define @t146 () (or @t144 @t143 @t145 @t142 @t141)) % 81.56/81.70 (define @t147 () (forall @t126 (or @t115 @t114 @t32 @t124 (= @t122 (= @t61 @t121))))) % 81.56/81.70 (define @t148 () (= tptp.sz00 tptp.xr)) % 81.56/81.70 (define @t149 () (or @t144 @t143 @t148 @t142 @t140)) % 81.56/81.70 (define @t150 () (@list false)) % 81.56/81.70 (define @t151 () (= tptp.sz10 @t4)) % 81.56/81.70 (define @t152 () (not @t71)) % 81.56/81.70 (define @t153 () (or @t114 @t152 @t151 @t38)) % 81.56/81.70 (define @t154 () (= @t78 (and @t33 @t76 (forall @t74 @t153)))) % 81.56/81.70 (define @t155 () (or @t151 @t38)) % 81.56/81.70 (define @t156 () (not (tptp.doDivides0 @t4 tptp.xr))) % 81.56/81.70 (define @t157 () (or @t114 @t156 @t151 (= tptp.xr @t4))) % 81.56/81.70 (define @t158 () (forall @t74 @t157)) % 81.56/81.70 (define @t159 () (not (= tptp.xr tptp.sz10))) % 81.56/81.70 (define @t160 () (not @t145)) % 81.56/81.70 (define @t161 () (and @t160 @t159 @t158)) % 81.56/81.70 (define @t162 () (= @t101 @t161)) % 81.56/81.70 (define @t163 () (or @t144 @t162)) % 81.56/81.70 (define @t164 () (forall @t3 (or @t115 @t154))) % 81.56/81.70 (define @t165 () (not @t148)) % 81.56/81.70 (define @t166 () (and @t165 (not (= tptp.sz10 tptp.xr)) (forall @t74 (or @t114 @t156 @t151 (= @t4 tptp.xr))))) % 81.56/81.70 (define @t167 () (= @t101 @t166)) % 81.56/81.70 (define @t168 () (or @t144 @t167)) % 81.56/81.70 (define @t169 () (@list false false)) % 81.56/81.70 (define @t170 () (tptp.sdtpldt0 @t104 tptp.xm)) % 81.56/81.70 (define @t171 () (tptp.sdtpldt0 @t170 tptp.xp)) % 81.56/81.70 (define @t172 () (tptp.iLess0 @t171 @t89)) % 81.56/81.70 (define @t173 () (not @t172)) % 81.56/81.70 (define @t174 () (not @t107)) % 81.56/81.70 (define @t175 () (not @t98)) % 81.56/81.70 (define @t176 () (not @t82)) % 81.56/81.70 (define @t177 () (not @t83)) % 81.56/81.70 (define @t178 () (not @t139)) % 81.56/81.70 (define @t179 () (or @t178 @t177 @t176 @t175 @t174 @t173 @t109 @t108)) % 81.56/81.70 (define @t180 () (not @t37)) % 81.56/81.70 (define @t181 () (or @t115 @t114 @t38 @t180 @t56)) % 81.56/81.70 (define @t182 () (or @t38 @t180 @t56)) % 81.56/81.70 (define @t183 () (or @t38 @t180)) % 81.56/81.70 (define @t184 () (not @t51)) % 81.56/81.70 (define @t185 () (tptp.sdtlseqdt0 @t171 @t89)) % 81.56/81.70 (define @t186 () (not @t185)) % 81.56/81.70 (define @t187 () (tptp.aNaturalNumber0 @t89)) % 81.56/81.70 (define @t188 () (not @t187)) % 81.56/81.70 (define @t189 () (tptp.aNaturalNumber0 @t171)) % 81.56/81.70 (define @t190 () (not @t189)) % 81.56/81.70 (define @t191 () (or @t190 @t188 (= @t171 @t89) @t186 @t172)) % 81.56/81.70 (define @t192 () (forall @t9 @t181)) % 81.56/81.70 (define @t193 () (= @t89 @t171)) % 81.56/81.70 (define @t194 () (or @t190 @t188 @t193 @t186 @t172)) % 81.56/81.70 (define @t195 () (tptp.aNaturalNumber0 @t170)) % 81.56/81.70 (define @t196 () (or @t178 @t177 @t195)) % 81.56/81.70 (define @t197 () (@list false false false)) % 81.56/81.70 (define @t198 () (not @t195)) % 81.56/81.70 (define @t199 () (or @t198 @t176 @t189)) % 81.56/81.70 (define @t200 () (tptp.aNaturalNumber0 @t88)) % 81.56/81.70 (define @t201 () (or @t143 @t177 @t200)) % 81.56/81.70 (define @t202 () (not @t200)) % 81.56/81.70 (define @t203 () (or @t202 @t176 @t187)) % 81.56/81.70 (define @t204 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 81.56/81.70 (define @t205 () (tptp.sdtpldt0 @t4 @t204)) % 81.56/81.70 (define @t206 () (tptp.sdtpldt0 @t1 @t204)) % 81.56/81.70 (define @t207 () (tptp.sdtpldt0 @t204 @t4)) % 81.56/81.70 (define @t208 () (tptp.sdtpldt0 @t204 @t1)) % 81.56/81.70 (define @t209 () (and (not (= @t208 @t207)) (tptp.sdtlseqdt0 @t208 @t207) (not (= @t205 @t206)) (tptp.sdtlseqdt0 @t206 @t205))) % 81.56/81.70 (define @t210 () (not (tptp.aNaturalNumber0 @t204))) % 81.56/81.70 (define @t211 () (or @t115 @t114 @t38 @t180 @t210 @t209)) % 81.56/81.70 (define @t212 () (or @t210 @t209)) % 81.56/81.70 (define @t213 () (or @t115 @t114 @t38 @t180 @t212)) % 81.56/81.70 (define @t214 () (@list @t1 @t4 @t204)) % 81.56/81.70 (define @t215 () (forall @t214 @t213)) % 81.56/81.70 (define @t216 () (@list @t204)) % 81.56/81.70 (define @t217 () (forall @t216 @t213)) % 81.56/81.70 (define @t218 () (forall @t216 @t212)) % 81.56/81.70 (define @t219 () (or @t115 @t114 @t38 @t180 @t218)) % 81.56/81.70 (define @t220 () (and @t46 @t45 (not (= @t16 @t28)) @t42)) % 81.56/81.70 (define @t221 () (forall @t36 (or @t113 @t220))) % 81.56/81.70 (define @t222 () (or @t115 @t114 @t38 @t180 @t221)) % 81.56/81.70 (define @t223 () (or @t38 @t180 @t221)) % 81.56/81.70 (define @t224 () (=> @t51 @t221)) % 81.56/81.70 (define @t225 () (tptp.sdtpldt0 tptp.xp tptp.xm)) % 81.56/81.70 (define @t226 () (tptp.sdtpldt0 tptp.xn @t225)) % 81.56/81.70 (define @t227 () (tptp.sdtpldt0 @t104 @t225)) % 81.56/81.70 (define @t228 () (tptp.sdtlseqdt0 @t227 @t226)) % 81.56/81.70 (define @t229 () (not (= @t226 @t227))) % 81.56/81.70 (define @t230 () (tptp.sdtpldt0 @t225 tptp.xn)) % 81.56/81.70 (define @t231 () (tptp.sdtpldt0 @t225 @t104)) % 81.56/81.70 (define @t232 () (tptp.sdtlseqdt0 @t231 @t230)) % 81.56/81.70 (define @t233 () (not (= @t231 @t230))) % 81.56/81.70 (define @t234 () (and @t233 @t232 @t229 @t228)) % 81.56/81.70 (define @t235 () (tptp.aNaturalNumber0 @t225)) % 81.56/81.70 (define @t236 () (not @t235)) % 81.56/81.70 (define @t237 () (not @t105)) % 81.56/81.70 (define @t238 () (or @t178 @t143 @t106 @t237 @t236 @t234)) % 81.56/81.70 (define @t239 () (forall @t214 @t211)) % 81.56/81.70 (define @t240 () (and (not (= @t230 @t231)) @t232 @t229 @t228)) % 81.56/81.70 (define @t241 () (= tptp.xn @t104)) % 81.56/81.70 (define @t242 () (or @t178 @t143 @t241 @t237 @t236 @t240)) % 81.56/81.70 (define @t243 () (@list tptp.xp tptp.xm)) % 81.56/81.70 (define @t244 () (or @t176 @t177 @t235)) % 81.56/81.70 (define @t245 () (not @t240)) % 81.56/81.70 (define @t246 () (@list @t240)) % 81.56/81.70 (define @t247 () (tptp.sdtpldt0 tptp.xm tptp.xp)) % 81.56/81.70 (define @t248 () (= @t225 @t247)) % 81.56/81.70 (define @t249 () (or @t176 @t177 @t248)) % 81.56/81.70 (define @t250 () (tptp.sdtpldt0 @t104 @t247)) % 81.56/81.70 (define @t251 () (= @t171 @t250)) % 81.56/81.70 (define @t252 () (or @t178 @t177 @t176 @t251)) % 81.56/81.70 (define @t253 () (@list false false false false)) % 81.56/81.70 (define @t254 () (tptp.sdtpldt0 tptp.xn @t247)) % 81.56/81.70 (define @t255 () (= @t89 @t254)) % 81.56/81.70 (define @t256 () (or @t143 @t177 @t176 @t255)) % 81.56/81.70 (assume @p1 (forall @t3 (=> @t2 true))) % 81.56/81.70 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 81.56/81.70 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 81.56/81.70 (assume @p4 @t10) % 81.56/81.70 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 81.56/81.70 (assume @p6 @t14) % 81.56/81.70 (assume @p7 @t22) % 81.56/81.70 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 81.56/81.70 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t23)))) % 81.56/81.70 (assume @p10 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 81.56/81.70 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 81.56/81.70 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 81.56/81.70 (assume @p13 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t25)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t23 @t24)))))) % 81.56/81.70 (assume @p14 (forall @t21 (=> @t20 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 81.56/81.70 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t15) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 81.56/81.70 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 81.56/81.70 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t32 @t34))))) % 81.56/81.70 (assume @p18 (forall @t9 (=> @t8 (= @t37 (exists @t36 @t35))))) % 81.56/81.70 (assume @p19 (forall @t9 (=> @t8 (=> @t37 (forall @t36 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 81.56/81.70 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 81.56/81.70 (assume @p21 (forall @t9 (=> @t8 (=> (and @t37 @t39) @t38)))) % 81.56/81.70 (assume @p22 (forall @t21 (=> @t20 (=> (and @t37 @t40) (tptp.sdtlseqdt0 @t1 @t15))))) % 81.56/81.70 (assume @p23 (forall @t9 (=> @t8 (or @t37 (and (not @t41) @t39))))) % 81.56/81.70 (assume @p24 @t54) % 81.56/81.70 (assume @p25 (forall @t21 (=> @t20 (=> (and @t33 (not @t26) @t40) (and (not @t30) (tptp.sdtlseqdt0 @t11 @t25) (not @t29) (tptp.sdtlseqdt0 @t23 @t24)))))) % 81.56/81.70 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t55 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 81.56/81.70 (assume @p27 (forall @t9 (=> @t8 (=> @t33 (tptp.sdtlseqdt0 @t4 @t23))))) % 81.56/81.70 (assume @p28 (forall @t9 (=> @t8 (=> @t56 true)))) % 81.56/81.70 (assume @p29 @t58) % 81.56/81.70 (assume @p30 (forall @t9 (=> @t8 (= @t60 (exists @t36 @t59))))) % 81.56/81.70 (assume @p31 @t67) % 81.56/81.70 (assume @p32 (forall @t21 (=> @t20 (=> (and @t60 (tptp.doDivides0 @t4 @t15)) @t68)))) % 81.56/81.70 (assume @p33 (forall @t21 (=> @t20 (=> (and @t60 @t68) @t69)))) % 81.56/81.70 (assume @p34 (forall @t21 (=> @t20 (=> (and @t60 @t69) @t68)))) % 81.56/81.70 (assume @p35 (forall @t9 (=> @t8 (=> (and @t60 (not @t34)) @t37)))) % 81.56/81.70 (assume @p36 (forall @t9 (=> @t8 (=> @t64 (forall @t36 (=> @t19 (= (tptp.sdtasdt0 @t15 @t61) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t4) @t1)))))))) % 81.56/81.70 (assume @p37 @t81) % 81.56/81.70 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t76) (exists @t74 (and @t7 @t71 (tptp.isPrime0 @t4)))))) % 81.56/81.70 (assume @p39 (and @t84 @t83 @t82)) % 81.56/81.70 (assume @p40 @t96) % 81.56/81.70 (assume @p41 (and @t98 (tptp.doDivides0 tptp.xp @t97))) % 81.56/81.70 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 81.56/81.70 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 81.56/81.70 (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))) % 81.56/81.70 (assume @p45 (= tptp.xk (tptp.sdtsldt0 @t97 tptp.xp))) % 81.56/81.70 (assume @p46 (not (or @t100 @t99))) % 81.56/81.70 (assume @p47 (and (not @t100) (not @t99))) % 81.56/81.70 (assume @p48 (and @t102 (tptp.doDivides0 tptp.xr tptp.xk) @t101)) % 81.56/81.70 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t97))) % 81.56/81.70 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 81.56/81.70 (assume @p51 (or @t103 (tptp.doDivides0 tptp.xr tptp.xm))) % 81.56/81.70 (assume @p52 @t103) % 81.56/81.70 (assume @p53 (and (not @t106) @t105)) % 81.56/81.70 (assume @p54 @t107) % 81.56/81.70 (assume @p55 (not (or @t109 @t108))) % 81.56/81.70 (assume @p56 true) % 81.56/81.70 (step @p57 :rule aci_norm :args ((= (or @t117 @t116) (or @t115 @t114 @t113 @t112 @t111 @t110 @t86 @t85)))) % 81.56/81.70 (step @p58 :rule aci_norm :args ((= (or (or @t112 @t111) @t118) @t116))) % 81.56/81.70 (step @p59 :rule aci_norm :args ((= (or @t110 @t87) @t118))) % 81.56/81.70 (step @p60 :rule bool-impl-elim :args (@t90 @t87)) % 81.56/81.70 (step @p61 :rule trans :premises (@p60 @p59)) % 81.56/81.70 (step @p62 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 81.56/81.70 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t94) @t91))) % 81.56/81.70 (step @p64 :rule trans :premises (@p63 @p58)) % 81.56/81.70 (step @p65 :rule bool-impl-elim :args (@t94 @t91)) % 81.56/81.70 (step @p66 :rule trans :premises (@p65 @p64)) % 81.56/81.70 (step @p67 :rule aci_norm :args ((= (or @t115 (or @t114 @t113)) @t117))) % 81.56/81.70 (step @p68 :rule bool-and-de-morgan :args (@t7 @t19 true)) % 81.56/81.70 (step @p69 :rule refl :args (@t115)) % 81.56/81.70 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t115 (not @t31)))) % 81.56/81.70 (step @p71 :rule bool-and-de-morgan :args (@t2 @t7 (and @t19))) % 81.56/81.70 (step @p72 :rule trans :premises (@p71 @p70)) % 81.56/81.70 (step @p73 :rule trans :premises (@p72 @p67)) % 81.56/81.70 (step @p74 :rule nary_cong :premises (@p73 @p66) :args ((or @t119 @t95))) % 81.56/81.70 (step @p75 :rule trans :premises (@p74 @p57)) % 81.56/81.70 (step @p76 :rule bool-impl-elim :args (@t20 @t95)) % 81.56/81.70 (step @p77 :rule trans :premises (@p76 @p75)) % 81.56/81.70 (step @p78 :rule cong :premises (@p77) :args (@t96)) % 81.56/81.70 (step @p79 :rule eq_resolve :premises (@p40 @p78)) % 81.56/81.70 (step @p80 :rule instantiate :premises (@p79) :args (@t120)) % 81.56/81.70 (step @p81 :rule eq-symm :args (@t121 @t61)) % 81.56/81.70 (step @p82 :rule refl :args (@t122)) % 81.56/81.70 (step @p83 :rule cong :premises (@p82 @p81) :args (@t123)) % 81.56/81.70 (step @p84 :rule refl :args (@t124)) % 81.56/81.70 (step @p85 :rule refl :args (@t32)) % 81.56/81.70 (step @p86 :rule refl :args (@t114)) % 81.56/81.70 (step @p87 :rule refl :args (@t115)) % 81.56/81.70 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p83) :args (@t125)) % 81.56/81.70 (step @p89 :rule cong :premises (@p88) :args (@t127)) % 81.56/81.70 (step @p90 :rule quant-merge-prenex :args ((= (forall @t9 @t129) @t127))) % 81.56/81.70 (step @p91 :rule alpha_equiv :args (@t130 (@list @t121) @t131)) % 81.56/81.70 (step @p92 :rule refl :args (@t124)) % 81.56/81.70 (step @p93 :rule refl :args (@t32)) % 81.56/81.70 (step @p94 :rule refl :args (@t114)) % 81.56/81.70 (step @p95 :rule nary_cong :premises (@p69 @p94 @p93 @p92 @p91) :args (@t132)) % 81.56/81.70 (step @p96 :rule quant-miniscope-or :args ((= @t129 @t132))) % 81.56/81.70 (step @p97 :rule trans :premises (@p96 @p95)) % 81.56/81.70 (step @p98 :rule symm :premises (@p97)) % 81.56/81.70 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 @t134))) % 81.56/81.70 (step @p100 :rule trans :premises (@p99 @p90)) % 81.56/81.70 (step @p101 :rule trans :premises (@p100 @p89)) % 81.56/81.70 (step @p102 :rule aci_norm :args ((= (or @t136 @t135) @t134))) % 81.56/81.70 (step @p103 :rule aci_norm :args ((= (or (or @t32 @t124) @t133) @t135))) % 81.56/81.70 (step @p104 :rule refl :args (@t133)) % 81.56/81.70 (step @p105 :rule bool-double-not-elim :args (@t32)) % 81.56/81.70 (step @p106 :rule nary_cong :premises (@p105 @p92) :args ((or (not @t33) @t124))) % 81.56/81.70 (step @p107 :rule bool-and-de-morgan :args (@t33 @t60 true)) % 81.56/81.70 (step @p108 :rule trans :premises (@p107 @p106)) % 81.56/81.70 (step @p109 :rule nary_cong :premises (@p108 @p104) :args ((or (not @t64) @t133))) % 81.56/81.70 (step @p110 :rule trans :premises (@p109 @p103)) % 81.56/81.70 (step @p111 :rule bool-impl-elim :args (@t64 @t133)) % 81.56/81.70 (step @p112 :rule trans :premises (@p111 @p110)) % 81.56/81.70 (step @p113 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 81.56/81.70 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t138 @t137))) % 81.56/81.70 (step @p115 :rule trans :premises (@p114 @p102)) % 81.56/81.70 (step @p116 :rule bool-impl-elim :args (@t8 @t137)) % 81.56/81.70 (step @p117 :rule trans :premises (@p116 @p115)) % 81.56/81.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 (=> @t8 @t137)))) % 81.56/81.70 (step @p119 :rule trans :premises (@p118 @p101)) % 81.56/81.70 (step @p120 :rule eq-symm :args (@t62 @t59)) % 81.56/81.70 (step @p121 :rule cong :premises (@p120) :args (@t63)) % 81.56/81.70 (step @p122 :rule refl :args (@t64)) % 81.56/81.70 (step @p123 :rule cong :premises (@p122 @p121) :args (@t65)) % 81.56/81.70 (step @p124 :rule refl :args (@t8)) % 81.56/81.70 (step @p125 :rule cong :premises (@p124 @p123) :args (@t66)) % 81.56/81.70 (step @p126 :rule cong :premises (@p125) :args (@t67)) % 81.56/81.70 (step @p127 :rule trans :premises (@p126 @p119)) % 81.56/81.70 (step @p128 :rule eq_resolve :premises (@p31 @p127)) % 81.56/81.70 (step @p129 :rule bool-eq-true :args (@t140)) % 81.56/81.70 (step @p130 :rule eq-refl :args (@t104)) % 81.56/81.70 (step @p131 :rule refl :args (@t140)) % 81.56/81.70 (step @p132 :rule cong :premises (@p131 @p130) :args (@t141)) % 81.56/81.70 (step @p133 :rule trans :premises (@p132 @p129)) % 81.56/81.70 (step @p134 :rule refl :args (@t142)) % 81.56/81.70 (step @p135 :rule eq-symm :args (tptp.xr tptp.sz00)) % 81.56/81.70 (step @p136 :rule refl :args (@t143)) % 81.56/81.70 (step @p137 :rule refl :args (@t144)) % 81.56/81.70 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134 @p133) :args (@t146)) % 81.56/81.70 (step @p139 :rule refl :args (@t147)) % 81.56/81.70 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t147 @t146))) % 81.56/81.70 (assume-push @p404 @t147) % 81.56/81.70 (step @p142 :rule instantiate :premises (@p128) :args ((@list tptp.xr tptp.xn @t104))) % 81.56/81.70 (step-pop @p405 :rule scope :premises (@p142)) % 81.56/81.70 (step @p143 :rule process_scope :premises (@p405) :args (@t146)) % 81.56/81.70 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 81.56/81.70 (step @p146 :rule implies_elim :premises (@p145)) % 81.56/81.70 (step @p147 :rule chain_m_resolution :premises (@p146 @p128) :args (@t149 @t150 (@list @t147))) % 81.56/81.70 (step @p148 :rule bool-impl-elim :args (@t2 @t154)) % 81.56/81.70 (step @p149 :rule cong :premises (@p148) :args ((forall @t3 (=> @t2 @t154)))) % 81.56/81.70 (step @p150 :rule aci_norm :args ((= (or (or @t114 @t152) @t155) @t153))) % 81.56/81.70 (step @p151 :rule refl :args (@t155)) % 81.56/81.70 (step @p152 :rule bool-and-de-morgan :args (@t7 @t71 true)) % 81.56/81.70 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t72) @t155))) % 81.56/81.70 (step @p154 :rule trans :premises (@p153 @p150)) % 81.56/81.70 (step @p155 :rule bool-impl-elim :args (@t72 @t155)) % 81.56/81.70 (step @p156 :rule trans :premises (@p155 @p154)) % 81.56/81.70 (step @p157 :rule cong :premises (@p156) :args ((forall @t74 (=> @t72 @t155)))) % 81.56/81.70 (step @p158 :rule eq-symm :args (@t4 @t1)) % 81.56/81.70 (step @p159 :rule eq-symm :args (@t4 tptp.sz10)) % 81.56/81.70 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t70)) % 81.56/81.70 (step @p161 :rule refl :args (@t72)) % 81.56/81.70 (step @p162 :rule cong :premises (@p161 @p160) :args (@t73)) % 81.56/81.70 (step @p163 :rule cong :premises (@p162) :args (@t75)) % 81.56/81.70 (step @p164 :rule trans :premises (@p163 @p157)) % 81.56/81.70 (step @p165 :rule refl :args (@t76)) % 81.56/81.70 (step @p166 :rule refl :args (@t33)) % 81.56/81.70 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t77)) % 81.56/81.70 (step @p168 :rule refl :args (@t78)) % 81.56/81.70 (step @p169 :rule cong :premises (@p168 @p167) :args (@t79)) % 81.56/81.70 (step @p170 :rule refl :args (@t2)) % 81.56/81.70 (step @p171 :rule cong :premises (@p170 @p169) :args (@t80)) % 81.56/81.70 (step @p172 :rule cong :premises (@p171) :args (@t81)) % 81.56/81.70 (step @p173 :rule trans :premises (@p172 @p149)) % 81.56/81.70 (step @p174 :rule eq_resolve :premises (@p37 @p173)) % 81.56/81.70 (step @p175 :rule eq-symm :args (tptp.xr @t4)) % 81.56/81.70 (step @p176 :rule refl :args (@t151)) % 81.56/81.70 (step @p177 :rule refl :args (@t156)) % 81.56/81.70 (step @p178 :rule nary_cong :premises (@p86 @p177 @p176 @p175) :args (@t157)) % 81.56/81.70 (step @p179 :rule cong :premises (@p178) :args (@t158)) % 81.56/81.70 (step @p180 :rule eq-symm :args (tptp.xr tptp.sz10)) % 81.56/81.70 (step @p181 :rule cong :premises (@p180) :args (@t159)) % 81.56/81.70 (step @p182 :rule cong :premises (@p135) :args (@t160)) % 81.56/81.70 (step @p183 :rule nary_cong :premises (@p182 @p181 @p179) :args (@t161)) % 81.56/81.70 (step @p184 :rule refl :args (@t101)) % 81.56/81.70 (step @p185 :rule cong :premises (@p184 @p183) :args (@t162)) % 81.56/81.70 (step @p186 :rule nary_cong :premises (@p137 @p185) :args (@t163)) % 81.56/81.70 (step @p187 :rule refl :args (@t164)) % 81.56/81.70 (step @p188 :rule cong :premises (@p187 @p186) :args ((=> @t164 @t163))) % 81.56/81.70 (assume-push @p406 @t164) % 81.56/81.70 (step @p190 :rule instantiate :premises (@p174) :args ((@list tptp.xr))) % 81.56/81.70 (step-pop @p407 :rule scope :premises (@p190)) % 81.56/81.70 (step @p191 :rule process_scope :premises (@p407) :args (@t163)) % 81.56/81.70 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 81.56/81.70 (step @p194 :rule implies_elim :premises (@p193)) % 81.56/81.70 (step @p195 :rule chain_m_resolution :premises (@p194 @p174) :args (@t168 @t150 (@list @t164))) % 81.56/81.70 (step @p196 :rule and_elim :premises (@p48) :args (0)) % 81.56/81.70 (step @p197 :rule cnf_or_pos :args (@t168)) % 81.56/81.70 (step @p198 :rule reordering :premises (@p197) :args ((or @t144 @t167 (not @t168)))) % 81.56/81.70 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p195) :args (@t167 @t169 (@list @t102 @t168))) % 81.56/81.70 (step @p200 :rule and_elim :premises (@p48) :args (2)) % 81.56/81.70 (step @p201 :rule cnf_equiv_pos1 :args (@t167)) % 81.56/81.70 (step @p202 :rule reordering :premises (@p201) :args ((or (not @t101) @t166 (not @t167)))) % 81.56/81.70 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p199) :args (@t166 @t169 (@list @t101 @t167))) % 81.56/81.70 (step @p204 :rule cnf_and_pos :args (@t166 0)) % 81.56/81.70 (step @p205 :rule reordering :premises (@p204) :args ((or @t165 (not @t166)))) % 81.56/81.70 (step @p206 :rule chain_m_resolution :premises (@p205 @p203) :args (@t165 @t150 (@list @t166))) % 81.56/81.70 (step @p207 :rule and_elim :premises (@p39) :args (0)) % 81.56/81.70 (step @p208 :rule cnf_or_pos :args (@t149)) % 81.56/81.70 (step @p209 :rule reordering :premises (@p208) :args ((or @t142 @t143 @t144 @t148 @t140 (not @t149)))) % 81.56/81.70 (step @p210 :rule chain_m_resolution :premises (@p209 @p52 @p207 @p196 @p206 @p147) :args (@t140 (@list false false false true false) (@list @t103 @t84 @t102 @t148 @t149))) % 81.56/81.70 (step @p211 :rule cnf_and_pos :args (@t140 0)) % 81.56/81.70 (step @p212 :rule reordering :premises (@p211) :args ((or @t139 (not @t140)))) % 81.56/81.70 (step @p213 :rule chain_m_resolution :premises (@p212 @p210) :args (@t139 @t150 (@list @t140))) % 81.56/81.70 (step @p214 :rule and_elim :premises (@p41) :args (0)) % 81.56/81.70 (step @p215 :rule and_elim :premises (@p39) :args (2)) % 81.56/81.70 (step @p216 :rule and_elim :premises (@p39) :args (1)) % 81.56/81.70 (step @p217 :rule not_or_elim :premises (@p55) :args (1)) % 81.56/81.70 (step @p218 :rule not_or_elim :premises (@p55) :args (0)) % 81.56/81.70 (step @p219 :rule cnf_or_pos :args (@t179)) % 81.56/81.70 (step @p220 :rule reordering :premises (@p219) :args ((or @t109 @t108 @t177 @t176 @t175 @t174 @t178 @t173 (not @t179)))) % 81.56/81.70 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p217 @p216 @p215 @p214 @p54 @p213 @p80) :args (@t173 (@list true true false false false false false false) (@list @t109 @t108 @t83 @t82 @t98 @t107 @t139 @t179))) % 81.56/81.70 (step @p222 :rule aci_norm :args ((= (or @t136 @t182) @t181))) % 81.56/81.70 (step @p223 :rule aci_norm :args ((= (or @t183 @t56) @t182))) % 81.56/81.70 (step @p224 :rule refl :args (@t56)) % 81.56/81.70 (step @p225 :rule refl :args (@t180)) % 81.56/81.70 (step @p226 :rule bool-double-not-elim :args (@t38)) % 81.56/81.70 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or (not @t50) @t180))) % 81.56/81.70 (step @p228 :rule bool-and-de-morgan :args (@t50 @t37 true)) % 81.56/81.70 (step @p229 :rule trans :premises (@p228 @p227)) % 81.56/81.70 (step @p230 :rule nary_cong :premises (@p229 @p224) :args ((or @t184 @t56))) % 81.56/81.70 (step @p231 :rule trans :premises (@p230 @p223)) % 81.56/81.70 (step @p232 :rule bool-impl-elim :args (@t51 @t56)) % 81.56/81.70 (step @p233 :rule trans :premises (@p232 @p231)) % 81.56/81.70 (step @p234 :rule nary_cong :premises (@p113 @p233) :args ((or @t138 @t57))) % 81.56/81.70 (step @p235 :rule trans :premises (@p234 @p222)) % 81.56/81.70 (step @p236 :rule bool-impl-elim :args (@t8 @t57)) % 81.56/81.70 (step @p237 :rule trans :premises (@p236 @p235)) % 81.56/81.70 (step @p238 :rule cong :premises (@p237) :args (@t58)) % 81.56/81.70 (step @p239 :rule eq_resolve :premises (@p29 @p238)) % 81.56/81.70 (step @p240 :rule refl :args (@t172)) % 81.56/81.70 (step @p241 :rule refl :args (@t186)) % 81.56/81.70 (step @p242 :rule eq-symm :args (@t171 @t89)) % 81.56/81.70 (step @p243 :rule refl :args (@t188)) % 81.56/81.70 (step @p244 :rule refl :args (@t190)) % 81.56/81.70 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242 @p241 @p240) :args (@t191)) % 81.56/81.70 (step @p246 :rule refl :args (@t192)) % 81.56/81.70 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t192 @t191))) % 81.56/81.70 (assume-push @p408 @t192) % 81.56/81.70 (step @p249 :rule instantiate :premises (@p239) :args ((@list @t171 @t89))) % 81.56/81.70 (step-pop @p409 :rule scope :premises (@p249)) % 81.56/81.70 (step @p250 :rule process_scope :premises (@p409) :args (@t191)) % 81.56/81.70 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 81.56/81.70 (step @p253 :rule implies_elim :premises (@p252)) % 81.56/81.70 (step @p254 :rule chain_m_resolution :premises (@p253 @p239) :args (@t194 @t150 (@list @t192))) % 81.56/81.70 (step @p255 :rule aci_norm :args ((= (or @t136 @t6) (or @t115 @t114 @t6)))) % 81.56/81.70 (step @p256 :rule refl :args (@t6)) % 81.56/81.70 (step @p257 :rule nary_cong :premises (@p113 @p256) :args ((or @t138 @t6))) % 81.56/81.70 (step @p258 :rule trans :premises (@p257 @p255)) % 81.56/81.70 (step @p259 :rule bool-impl-elim :args (@t8 @t6)) % 81.56/81.70 (step @p260 :rule trans :premises (@p259 @p258)) % 81.56/81.70 (step @p261 :rule cong :premises (@p260) :args (@t10)) % 81.56/81.70 (step @p262 :rule eq_resolve :premises (@p4 @p261)) % 81.56/81.70 (step @p263 :rule instantiate :premises (@p262) :args ((@list @t170 tptp.xp))) % 81.56/81.70 (step @p264 :rule instantiate :premises (@p262) :args ((@list @t104 tptp.xm))) % 81.56/81.70 (step @p265 :rule cnf_or_pos :args (@t196)) % 81.56/81.70 (step @p266 :rule reordering :premises (@p265) :args ((or @t177 @t178 @t195 (not @t196)))) % 81.56/81.70 (step @p267 :rule chain_m_resolution :premises (@p266 @p216 @p213 @p264) :args (@t195 @t197 (@list @t83 @t139 @t196))) % 81.56/81.70 (step @p268 :rule cnf_or_pos :args (@t199)) % 81.56/81.70 (step @p269 :rule reordering :premises (@p268) :args ((or @t176 @t198 @t189 (not @t199)))) % 81.56/81.70 (step @p270 :rule chain_m_resolution :premises (@p269 @p215 @p267 @p263) :args (@t189 @t197 (@list @t82 @t195 @t199))) % 81.56/81.70 (step @p271 :rule instantiate :premises (@p262) :args ((@list @t88 tptp.xp))) % 81.56/81.70 (step @p272 :rule instantiate :premises (@p262) :args ((@list tptp.xn tptp.xm))) % 81.56/81.70 (step @p273 :rule cnf_or_pos :args (@t201)) % 81.56/81.70 (step @p274 :rule reordering :premises (@p273) :args ((or @t143 @t177 @t200 (not @t201)))) % 81.56/81.70 (step @p275 :rule chain_m_resolution :premises (@p274 @p207 @p216 @p272) :args (@t200 @t197 (@list @t84 @t83 @t201))) % 81.56/81.70 (step @p276 :rule cnf_or_pos :args (@t203)) % 81.56/81.70 (step @p277 :rule reordering :premises (@p276) :args ((or @t176 @t202 @t187 (not @t203)))) % 81.56/81.70 (step @p278 :rule chain_m_resolution :premises (@p277 @p215 @p275 @p271) :args (@t187 @t197 (@list @t82 @t200 @t203))) % 81.56/81.70 (step @p279 :rule aci_norm :args ((= @t213 @t211))) % 81.56/81.70 (step @p280 :rule cong :premises (@p279) :args (@t215)) % 81.56/81.70 (step @p281 :rule quant-merge-prenex :args ((= (forall @t9 @t217) @t215))) % 81.56/81.70 (step @p282 :rule alpha_equiv :args (@t218 (@list @t204) @t131)) % 81.56/81.70 (step @p283 :rule refl :args (@t38)) % 81.56/81.70 (step @p284 :rule nary_cong :premises (@p69 @p94 @p283 @p225 @p282) :args (@t219)) % 81.56/81.70 (step @p285 :rule quant-miniscope-or :args ((= @t217 @t219))) % 81.56/81.70 (step @p286 :rule trans :premises (@p285 @p284)) % 81.56/81.70 (step @p287 :rule symm :premises (@p286)) % 81.56/81.70 (step @p288 :rule cong :premises (@p287) :args ((forall @t9 @t222))) % 81.56/81.70 (step @p289 :rule trans :premises (@p288 @p281)) % 81.56/81.70 (step @p290 :rule trans :premises (@p289 @p280)) % 81.56/81.70 (step @p291 :rule aci_norm :args ((= (or @t136 @t223) @t222))) % 81.56/81.70 (step @p292 :rule aci_norm :args ((= (or @t183 @t221) @t223))) % 81.56/81.70 (step @p293 :rule refl :args (@t221)) % 81.56/81.70 (step @p294 :rule nary_cong :premises (@p229 @p293) :args ((or @t184 @t221))) % 81.56/81.70 (step @p295 :rule trans :premises (@p294 @p292)) % 81.56/81.70 (step @p296 :rule bool-impl-elim :args (@t51 @t221)) % 81.56/81.70 (step @p297 :rule trans :premises (@p296 @p295)) % 81.56/81.70 (step @p298 :rule nary_cong :premises (@p113 @p297) :args ((or @t138 @t224))) % 81.56/81.70 (step @p299 :rule trans :premises (@p298 @p291)) % 81.56/81.70 (step @p300 :rule bool-impl-elim :args (@t8 @t224)) % 81.56/81.70 (step @p301 :rule trans :premises (@p300 @p299)) % 81.56/81.70 (step @p302 :rule cong :premises (@p301) :args ((forall @t9 (=> @t8 @t224)))) % 81.56/81.70 (step @p303 :rule trans :premises (@p302 @p290)) % 81.56/81.70 (step @p304 :rule bool-impl-elim :args (@t19 @t220)) % 81.56/81.70 (step @p305 :rule cong :premises (@p304) :args ((forall @t36 (=> @t19 @t220)))) % 81.56/81.70 (step @p306 :rule refl :args (@t42)) % 81.56/81.70 (step @p307 :rule eq-symm :args (@t28 @t16)) % 81.56/81.70 (step @p308 :rule cong :premises (@p307) :args (@t43)) % 81.56/81.70 (step @p309 :rule refl :args (@t45)) % 81.56/81.70 (step @p310 :rule refl :args (@t46)) % 81.56/81.70 (step @p311 :rule nary_cong :premises (@p310 @p309 @p308 @p306) :args (@t47)) % 81.56/81.70 (step @p312 :rule refl :args (@t19)) % 81.56/81.70 (step @p313 :rule cong :premises (@p312 @p311) :args (@t48)) % 81.56/81.70 (step @p314 :rule cong :premises (@p313) :args (@t49)) % 81.56/81.70 (step @p315 :rule trans :premises (@p314 @p305)) % 81.56/81.70 (step @p316 :rule refl :args (@t51)) % 81.56/81.70 (step @p317 :rule cong :premises (@p316 @p315) :args (@t52)) % 81.56/81.70 (step @p318 :rule cong :premises (@p124 @p317) :args (@t53)) % 81.56/81.70 (step @p319 :rule cong :premises (@p318) :args (@t54)) % 81.56/81.70 (step @p320 :rule trans :premises (@p319 @p303)) % 81.56/81.70 (step @p321 :rule eq_resolve :premises (@p24 @p320)) % 81.56/81.70 (step @p322 :rule refl :args (@t228)) % 81.56/81.70 (step @p323 :rule refl :args (@t229)) % 81.56/81.70 (step @p324 :rule refl :args (@t232)) % 81.56/81.70 (step @p325 :rule eq-symm :args (@t231 @t230)) % 81.56/81.70 (step @p326 :rule cong :premises (@p325) :args (@t233)) % 81.56/81.70 (step @p327 :rule nary_cong :premises (@p326 @p324 @p323 @p322) :args (@t234)) % 81.56/81.70 (step @p328 :rule refl :args (@t236)) % 81.56/81.70 (step @p329 :rule refl :args (@t237)) % 81.56/81.70 (step @p330 :rule eq-symm :args (@t104 tptp.xn)) % 81.56/81.70 (step @p331 :rule refl :args (@t178)) % 81.56/81.70 (step @p332 :rule nary_cong :premises (@p331 @p136 @p330 @p329 @p328 @p327) :args (@t238)) % 81.56/81.70 (step @p333 :rule refl :args (@t239)) % 81.56/81.70 (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t239 @t238))) % 81.56/81.70 (assume-push @p410 @t239) % 81.56/81.70 (step @p336 :rule instantiate :premises (@p321) :args ((@list @t104 tptp.xn @t225))) % 81.56/81.70 (step-pop @p411 :rule scope :premises (@p336)) % 81.56/81.70 (step @p337 :rule process_scope :premises (@p411) :args (@t238)) % 81.56/81.70 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 81.56/81.70 (step @p340 :rule implies_elim :premises (@p339)) % 81.56/81.70 (step @p341 :rule chain_m_resolution :premises (@p340 @p321) :args (@t242 @t150 (@list @t239))) % 81.56/81.70 (step @p342 :rule instantiate :premises (@p262) :args (@t243)) % 81.56/81.70 (step @p343 :rule cnf_or_pos :args (@t244)) % 81.56/81.70 (step @p344 :rule reordering :premises (@p343) :args ((or @t177 @t176 @t235 (not @t244)))) % 81.56/81.70 (step @p345 :rule chain_m_resolution :premises (@p344 @p216 @p215 @p342) :args (@t235 @t197 (@list @t83 @t82 @t244))) % 81.56/81.70 (step @p346 :rule and_elim :premises (@p53) :args (1)) % 81.56/81.70 (step @p347 :rule and_elim :premises (@p53) :args (0)) % 81.56/81.70 (step @p348 :rule symm :premises (@p347)) % 81.56/81.70 (step @p349 :rule cnf_or_pos :args (@t242)) % 81.56/81.70 (step @p350 :rule reordering :premises (@p349) :args ((or @t241 @t143 @t237 @t178 @t236 @t240 (not @t242)))) % 81.56/81.70 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p207 @p346 @p213 @p345 @p341) :args (@t240 (@list true false false false false false) (@list @t241 @t84 @t105 @t139 @t235 @t242))) % 81.56/81.70 (step @p352 :rule cnf_and_pos :args (@t240 2)) % 81.56/81.70 (step @p353 :rule reordering :premises (@p352) :args ((or @t229 @t245))) % 81.56/81.70 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t229 @t150 @t246)) % 81.56/81.70 (step @p355 :rule false_intro :premises (@p354)) % 81.56/81.70 (step @p356 :rule aci_norm :args ((= (or @t136 @t13) (or @t115 @t114 @t13)))) % 81.56/81.70 (step @p357 :rule refl :args (@t13)) % 81.56/81.70 (step @p358 :rule nary_cong :premises (@p113 @p357) :args ((or @t138 @t13))) % 81.56/81.70 (step @p359 :rule trans :premises (@p358 @p356)) % 81.56/81.70 (step @p360 :rule bool-impl-elim :args (@t8 @t13)) % 81.56/81.70 (step @p361 :rule trans :premises (@p360 @p359)) % 81.56/81.70 (step @p362 :rule cong :premises (@p361) :args (@t14)) % 81.56/81.70 (step @p363 :rule eq_resolve :premises (@p6 @p362)) % 81.56/81.70 (step @p364 :rule instantiate :premises (@p363) :args (@t243)) % 81.56/81.70 (step @p365 :rule cnf_or_pos :args (@t249)) % 81.56/81.70 (step @p366 :rule reordering :premises (@p365) :args ((or @t177 @t176 @t248 (not @t249)))) % 81.56/81.70 (step @p367 :rule chain_m_resolution :premises (@p366 @p216 @p215 @p364) :args (@t248 @t197 (@list @t83 @t82 @t249))) % 81.56/81.70 (step @p368 :rule symm :premises (@p367)) % 81.56/81.70 (step @p369 :rule refl :args (@t104)) % 81.56/81.70 (step @p370 :rule cong :premises (@p369 @p368) :args (@t250)) % 81.56/81.70 (step @p371 :rule aci_norm :args ((= (or @t117 @t18) (or @t115 @t114 @t113 @t18)))) % 81.56/81.70 (step @p372 :rule refl :args (@t18)) % 81.56/81.70 (step @p373 :rule nary_cong :premises (@p73 @p372) :args ((or @t119 @t18))) % 81.56/81.70 (step @p374 :rule trans :premises (@p373 @p371)) % 81.56/81.70 (step @p375 :rule bool-impl-elim :args (@t20 @t18)) % 81.56/81.70 (step @p376 :rule trans :premises (@p375 @p374)) % 81.56/81.70 (step @p377 :rule cong :premises (@p376) :args (@t22)) % 81.56/81.70 (step @p378 :rule eq_resolve :premises (@p7 @p377)) % 81.56/81.70 (step @p379 :rule instantiate :premises (@p378) :args (@t120)) % 81.56/81.70 (step @p380 :rule cnf_or_pos :args (@t252)) % 81.56/81.70 (step @p381 :rule reordering :premises (@p380) :args ((or @t177 @t176 @t178 @t251 (not @t252)))) % 81.56/81.70 (step @p382 :rule chain_m_resolution :premises (@p381 @p216 @p215 @p213 @p379) :args (@t251 @t253 (@list @t83 @t82 @t139 @t252))) % 81.56/81.70 (step @p383 :rule trans :premises (@p382 @p370)) % 81.56/81.70 (step @p384 :rule refl :args (tptp.xn)) % 81.56/81.70 (step @p385 :rule cong :premises (@p384 @p368) :args (@t254)) % 81.56/81.70 (step @p386 :rule instantiate :premises (@p378) :args ((@list tptp.xn tptp.xm tptp.xp))) % 81.56/81.70 (step @p387 :rule cnf_or_pos :args (@t256)) % 81.56/81.70 (step @p388 :rule reordering :premises (@p387) :args ((or @t143 @t177 @t176 @t255 (not @t256)))) % 81.56/81.70 (step @p389 :rule chain_m_resolution :premises (@p388 @p207 @p216 @p215 @p386) :args (@t255 @t253 (@list @t84 @t83 @t82 @t256))) % 81.56/81.70 (step @p390 :rule trans :premises (@p389 @p385)) % 81.56/81.70 (step @p391 :rule cong :premises (@p390 @p383) :args (@t193)) % 81.56/81.70 (step @p392 :rule trans :premises (@p391 @p355)) % 81.56/81.70 (step @p393 :rule false_elim :premises (@p392)) % 81.56/81.70 (step @p394 :rule cnf_and_pos :args (@t240 3)) % 81.56/81.70 (step @p395 :rule reordering :premises (@p394) :args ((or @t228 @t245))) % 81.56/81.70 (step @p396 :rule chain_m_resolution :premises (@p395 @p351) :args (@t228 @t150 @t246)) % 81.56/81.70 (step @p397 :rule true_intro :premises (@p396)) % 81.56/81.70 (step @p398 :rule cong :premises (@p383 @p390) :args (@t185)) % 81.56/81.70 (step @p399 :rule trans :premises (@p398 @p397)) % 81.56/81.70 (step @p400 :rule true_elim :premises (@p399)) % 81.56/81.70 (step @p401 :rule cnf_or_pos :args (@t194)) % 81.56/81.70 (step @p402 :rule reordering :premises (@p401) :args ((or @t172 @t190 @t188 @t186 @t193 (not @t194)))) % 81.56/81.70 (step @p403 false :rule chain_m_resolution :premises (@p402 @p400 @p393 @p278 @p270 @p254 @p221) :args (false (@list false true false false false true) (@list @t185 @t193 @t187 @t189 @t194 @t172))) % 81.56/81.70 ) % 81.56/81.70 % SZS output end Proof % 81.56/81.70 % cvc5 exiting %------------------------------------------------------------------------------