%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM503+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 : n018.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 08:39:38 AM UTC 2026 % Result : Theorem 34.88s 35.12s % Output : Proof 34.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM503+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 % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:25:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.88/35.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.88/35.12 --- Run --no-e-matching --full-saturate-quant at 6... % 34.88/35.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.88/35.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.88/35.12 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.88/35.12 % SZS status Theorem % 34.88/35.12 % SZS output start Proof % 34.88/35.12 ( % 34.88/35.12 (declare-sort $$unsorted 0) % 34.88/35.12 (declare-const tptp.xr $$unsorted) % 34.88/35.12 (declare-const tptp.xk $$unsorted) % 34.88/35.12 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.88/35.12 (declare-const tptp.xm $$unsorted) % 34.88/35.12 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.12 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.88/35.12 (declare-const tptp.xn $$unsorted) % 34.88/35.12 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.88/35.12 (declare-const tptp.sz00 $$unsorted) % 34.88/35.12 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.12 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.12 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.12 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.88/35.12 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 34.88/35.12 (declare-const tptp.sz10 $$unsorted) % 34.88/35.12 (declare-const tptp.xp $$unsorted) % 34.88/35.12 (define @t1 () (@var "W0" $$unsorted)) % 34.88/35.12 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 34.88/35.12 (define @t3 () (@list @t1)) % 34.88/35.12 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 34.88/35.12 (define @t5 () (@var "W1" $$unsorted)) % 34.88/35.12 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 34.88/35.12 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 34.88/35.12 (define @t8 () (and @t2 @t7)) % 34.88/35.12 (define @t9 () (@list @t1 @t5)) % 34.88/35.12 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 34.88/35.12 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 34.88/35.12 (define @t12 () (forall @t9 (=> @t8 @t11))) % 34.88/35.12 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 34.88/35.12 (define @t14 () (@var "W2" $$unsorted)) % 34.88/35.12 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 34.88/35.12 (define @t16 () (tptp.sdtpldt0 @t6 @t14)) % 34.88/35.12 (define @t17 () (tptp.aNaturalNumber0 @t14)) % 34.88/35.12 (define @t18 () (and @t2 @t7 @t17)) % 34.88/35.12 (define @t19 () (@list @t1 @t5 @t14)) % 34.88/35.12 (define @t20 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 34.88/35.12 (define @t21 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 34.88/35.12 (define @t22 () (and (= @t21 @t1) @t20)) % 34.88/35.12 (define @t23 () (=> @t2 @t22)) % 34.88/35.12 (define @t24 () (forall @t3 @t23)) % 34.88/35.12 (define @t25 () (tptp.sdtasdt0 @t5 @t1)) % 34.88/35.12 (define @t26 () (= @t10 @t25)) % 34.88/35.12 (define @t27 () (forall @t9 (=> @t8 @t26))) % 34.88/35.12 (define @t28 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 34.88/35.12 (define @t29 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 34.88/35.12 (define @t30 () (and (= @t29 tptp.sz00) @t28)) % 34.88/35.12 (define @t31 () (=> @t2 @t30)) % 34.88/35.12 (define @t32 () (forall @t3 @t31)) % 34.88/35.12 (define @t33 () (tptp.sdtasdt0 @t14 @t1)) % 34.88/35.12 (define @t34 () (tptp.sdtasdt0 @t1 @t14)) % 34.88/35.12 (define @t35 () (= @t5 @t14)) % 34.88/35.12 (define @t36 () (tptp.sdtpldt0 @t14 @t1)) % 34.88/35.12 (define @t37 () (tptp.sdtpldt0 @t1 @t14)) % 34.88/35.12 (define @t38 () (= @t25 @t33)) % 34.88/35.12 (define @t39 () (= @t10 @t34)) % 34.88/35.12 (define @t40 () (or @t39 @t38)) % 34.88/35.12 (define @t41 () (=> @t40 @t35)) % 34.88/35.12 (define @t42 () (and @t7 @t17)) % 34.88/35.12 (define @t43 () (@list @t5 @t14)) % 34.88/35.12 (define @t44 () (forall @t43 (=> @t42 @t41))) % 34.88/35.12 (define @t45 () (= @t1 tptp.sz00)) % 34.88/35.12 (define @t46 () (not @t45)) % 34.88/35.12 (define @t47 () (=> @t46 @t44)) % 34.88/35.12 (define @t48 () (=> @t2 @t47)) % 34.88/35.12 (define @t49 () (forall @t3 @t48)) % 34.88/35.12 (define @t50 () (= @t5 tptp.sz00)) % 34.88/35.12 (define @t51 () (and @t17 (= @t37 @t5))) % 34.88/35.12 (define @t52 () (@list @t14)) % 34.88/35.12 (define @t53 () (tptp.sdtlseqdt0 @t1 @t5)) % 34.88/35.12 (define @t54 () (= @t1 @t5)) % 34.88/35.12 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 34.88/35.12 (define @t56 () (tptp.sdtlseqdt0 @t1 @t14)) % 34.88/35.12 (define @t57 () (tptp.sdtlseqdt0 @t5 @t14)) % 34.88/35.12 (define @t58 () (and @t53 @t57)) % 34.88/35.12 (define @t59 () (=> @t58 @t56)) % 34.88/35.12 (define @t60 () (forall @t19 (=> @t18 @t59))) % 34.88/35.12 (define @t61 () (= @t5 @t1)) % 34.88/35.12 (define @t62 () (tptp.sdtpldt0 @t14 @t5)) % 34.88/35.12 (define @t63 () (and (not @t54) @t53)) % 34.88/35.12 (define @t64 () (not @t38)) % 34.88/35.12 (define @t65 () (not @t39)) % 34.88/35.12 (define @t66 () (and @t65 (tptp.sdtlseqdt0 @t10 @t34) @t64 (tptp.sdtlseqdt0 @t25 @t33))) % 34.88/35.12 (define @t67 () (not @t35)) % 34.88/35.12 (define @t68 () (and @t46 @t67 @t57)) % 34.88/35.12 (define @t69 () (=> @t68 @t66)) % 34.88/35.12 (define @t70 () (forall @t19 (=> @t18 @t69))) % 34.88/35.12 (define @t71 () (= @t1 tptp.sz10)) % 34.88/35.12 (define @t72 () (tptp.iLess0 @t1 @t5)) % 34.88/35.12 (define @t73 () (and @t17 (= @t5 @t34))) % 34.88/35.12 (define @t74 () (tptp.doDivides0 @t1 @t5)) % 34.88/35.12 (define @t75 () (tptp.sdtsldt0 @t5 @t1)) % 34.88/35.12 (define @t76 () (= @t14 @t75)) % 34.88/35.12 (define @t77 () (forall @t52 (= @t76 @t73))) % 34.88/35.12 (define @t78 () (and @t46 @t74)) % 34.88/35.12 (define @t79 () (=> @t78 @t77)) % 34.88/35.12 (define @t80 () (=> @t8 @t79)) % 34.88/35.12 (define @t81 () (forall @t9 @t80)) % 34.88/35.12 (define @t82 () (tptp.doDivides0 @t1 @t14)) % 34.88/35.12 (define @t83 () (tptp.doDivides0 @t1 @t15)) % 34.88/35.12 (define @t84 () (or (= @t5 tptp.sz10) @t61)) % 34.88/35.12 (define @t85 () (tptp.doDivides0 @t5 @t1)) % 34.88/35.12 (define @t86 () (and @t7 @t85)) % 34.88/35.12 (define @t87 () (=> @t86 @t84)) % 34.88/35.12 (define @t88 () (@list @t5)) % 34.88/35.12 (define @t89 () (forall @t88 @t87)) % 34.88/35.12 (define @t90 () (not @t71)) % 34.88/35.12 (define @t91 () (and @t46 @t90 @t89)) % 34.88/35.12 (define @t92 () (tptp.isPrime0 @t1)) % 34.88/35.12 (define @t93 () (= @t92 @t91)) % 34.88/35.12 (define @t94 () (=> @t2 @t93)) % 34.88/35.12 (define @t95 () (forall @t3 @t94)) % 34.88/35.12 (define @t96 () (tptp.aNaturalNumber0 tptp.xp)) % 34.88/35.12 (define @t97 () (tptp.aNaturalNumber0 tptp.xm)) % 34.88/35.12 (define @t98 () (tptp.aNaturalNumber0 tptp.xn)) % 34.88/35.12 (define @t99 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 34.88/35.12 (define @t100 () (tptp.doDivides0 tptp.xp @t99)) % 34.88/35.12 (define @t101 () (tptp.isPrime0 tptp.xp)) % 34.88/35.12 (define @t102 () (tptp.sdtlseqdt0 tptp.xm tptp.xp)) % 34.88/35.12 (define @t103 () (tptp.sdtlseqdt0 tptp.xn tptp.xp)) % 34.88/35.12 (define @t104 () (= tptp.xn tptp.xp)) % 34.88/35.12 (define @t105 () (tptp.sdtsldt0 @t99 tptp.xp)) % 34.88/35.12 (define @t106 () (= tptp.xk tptp.sz10)) % 34.88/35.12 (define @t107 () (= tptp.xk tptp.sz00)) % 34.88/35.12 (define @t108 () (or @t107 @t106)) % 34.88/35.12 (define @t109 () (not @t108)) % 34.88/35.12 (define @t110 () (tptp.sdtlseqdt0 tptp.xp tptp.xk)) % 34.88/35.12 (define @t111 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 34.88/35.12 (define @t112 () (tptp.sdtasdt0 tptp.xp tptp.xm)) % 34.88/35.12 (define @t113 () (tptp.sdtlseqdt0 @t112 @t111)) % 34.88/35.12 (define @t114 () (not (= @t112 @t111))) % 34.88/35.12 (define @t115 () (tptp.sdtlseqdt0 @t99 @t112)) % 34.88/35.12 (define @t116 () (= @t99 @t112)) % 34.88/35.12 (define @t117 () (not @t116)) % 34.88/35.12 (define @t118 () (and @t117 @t115 @t114 @t113)) % 34.88/35.12 (define @t119 () (not @t118)) % 34.88/35.12 (define @t120 () (not @t57)) % 34.88/35.12 (define @t121 () (not @t53)) % 34.88/35.12 (define @t122 () (not @t17)) % 34.88/35.12 (define @t123 () (not @t7)) % 34.88/35.12 (define @t124 () (not @t2)) % 34.88/35.12 (define @t125 () (or @t124 @t123 @t122 @t121 @t120 @t56)) % 34.88/35.12 (define @t126 () (or @t121 @t120 @t56)) % 34.88/35.12 (define @t127 () (or @t124 @t123 @t122)) % 34.88/35.12 (define @t128 () (or @t123 @t122)) % 34.88/35.12 (define @t129 () (not @t42)) % 34.88/35.12 (define @t130 () (not @t18)) % 34.88/35.12 (define @t131 () (or @t124 @t123 @t122 @t45 @t35 @t120 @t66)) % 34.88/35.12 (define @t132 () (or @t45 @t35 @t120 @t66)) % 34.88/35.12 (define @t133 () (not @t67)) % 34.88/35.12 (define @t134 () (not @t46)) % 34.88/35.12 (define @t135 () (or @t134 @t133 @t120)) % 34.88/35.12 (define @t136 () (tptp.sdtasdt0 @t105 tptp.xp)) % 34.88/35.12 (define @t137 () (tptp.sdtasdt0 tptp.xm tptp.xp)) % 34.88/35.12 (define @t138 () (tptp.sdtasdt0 tptp.xp @t105)) % 34.88/35.12 (define @t139 () (tptp.sdtlseqdt0 @t112 @t138)) % 34.88/35.12 (define @t140 () (= @t112 @t138)) % 34.88/35.12 (define @t141 () (not @t140)) % 34.88/35.12 (define @t142 () (and @t141 @t139 (not (= @t137 @t136)) (tptp.sdtlseqdt0 @t137 @t136))) % 34.88/35.12 (define @t143 () (tptp.sdtlseqdt0 tptp.xm @t105)) % 34.88/35.12 (define @t144 () (not @t143)) % 34.88/35.12 (define @t145 () (= tptp.xm @t105)) % 34.88/35.12 (define @t146 () (tptp.aNaturalNumber0 @t105)) % 34.88/35.12 (define @t147 () (not @t146)) % 34.88/35.12 (define @t148 () (not @t97)) % 34.88/35.12 (define @t149 () (not @t96)) % 34.88/35.12 (define @t150 () (= tptp.xp tptp.sz00)) % 34.88/35.12 (define @t151 () (or @t149 @t148 @t147 @t150 @t145 @t144 @t142)) % 34.88/35.12 (define @t152 () (forall @t19 @t131)) % 34.88/35.12 (define @t153 () (= tptp.sz00 tptp.xp)) % 34.88/35.12 (define @t154 () (or @t149 @t148 @t147 @t153 @t145 @t144 @t142)) % 34.88/35.12 (define @t155 () (@list false)) % 34.88/35.12 (define @t156 () (@list @t152)) % 34.88/35.12 (define @t157 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 34.88/35.12 (define @t158 () (not (= @t157 @t137))) % 34.88/35.12 (define @t159 () (and @t158 (tptp.sdtlseqdt0 @t157 @t137) @t117 @t115)) % 34.88/35.12 (define @t160 () (not @t103)) % 34.88/35.12 (define @t161 () (not @t98)) % 34.88/35.12 (define @t162 () (= tptp.xm tptp.sz00)) % 34.88/35.12 (define @t163 () (or @t148 @t161 @t149 @t162 @t104 @t160 @t159)) % 34.88/35.12 (define @t164 () (@list tptp.xm tptp.xn tptp.xp)) % 34.88/35.12 (define @t165 () (= tptp.sz00 tptp.xm)) % 34.88/35.12 (define @t166 () (or @t148 @t161 @t149 @t165 @t104 @t160 @t159)) % 34.88/35.12 (define @t167 () (and (= tptp.sz00 @t29) @t28)) % 34.88/35.12 (define @t168 () (@list tptp.xp)) % 34.88/35.12 (define @t169 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 34.88/35.12 (define @t170 () (= tptp.sz00 @t169)) % 34.88/35.12 (define @t171 () (and @t170 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 34.88/35.12 (define @t172 () (or @t149 @t171)) % 34.88/35.12 (define @t173 () (@list false false)) % 34.88/35.12 (define @t174 () (tptp.sdtasdt0 tptp.xn tptp.sz00)) % 34.88/35.12 (define @t175 () (= tptp.sz00 @t174)) % 34.88/35.12 (define @t176 () (and @t175 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 34.88/35.12 (define @t177 () (or @t161 @t176)) % 34.88/35.12 (define @t178 () (and (= @t1 @t21) @t20)) % 34.88/35.12 (define @t179 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 34.88/35.12 (define @t180 () (and @t179 @t179)) % 34.88/35.12 (define @t181 () (not @t4)) % 34.88/35.12 (define @t182 () (or @t181 @t180)) % 34.88/35.12 (define @t183 () (forall @t3 (or @t124 @t178))) % 34.88/35.12 (define @t184 () (or @t181 @t179)) % 34.88/35.12 (define @t185 () (and @t158 @t117)) % 34.88/35.12 (define @t186 () (@var "BOUND_VARIABLE_7825" $$unsorted)) % 34.88/35.12 (define @t187 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 34.88/35.12 (define @t188 () (= @t187 @t186)) % 34.88/35.12 (define @t189 () (and (not (= (tptp.sdtasdt0 @t1 @t187) (tptp.sdtasdt0 @t1 @t186))) (not (= (tptp.sdtasdt0 @t187 @t1) (tptp.sdtasdt0 @t186 @t1))))) % 34.88/35.12 (define @t190 () (not (tptp.aNaturalNumber0 @t186))) % 34.88/35.12 (define @t191 () (not (tptp.aNaturalNumber0 @t187))) % 34.88/35.12 (define @t192 () (or @t124 @t45 @t191 @t190 @t189 @t188)) % 34.88/35.12 (define @t193 () (or @t191 @t190 @t189 @t188)) % 34.88/35.12 (define @t194 () (or @t124 @t45 @t193)) % 34.88/35.12 (define @t195 () (@list @t1 @t187 @t186)) % 34.88/35.12 (define @t196 () (forall @t195 @t194)) % 34.88/35.12 (define @t197 () (@list @t187 @t186)) % 34.88/35.12 (define @t198 () (forall @t197 @t194)) % 34.88/35.12 (define @t199 () (forall @t197 @t193)) % 34.88/35.12 (define @t200 () (or @t124 @t45 @t199)) % 34.88/35.12 (define @t201 () (and @t65 @t64)) % 34.88/35.12 (define @t202 () (or @t123 @t122 @t201 @t35)) % 34.88/35.12 (define @t203 () (forall @t43 @t202)) % 34.88/35.12 (define @t204 () (or @t124 @t45 @t203)) % 34.88/35.12 (define @t205 () (=> @t46 @t203)) % 34.88/35.12 (define @t206 () (or @t148 @t162 @t161 @t149 @t185 @t104)) % 34.88/35.12 (define @t207 () (forall @t195 @t192)) % 34.88/35.12 (define @t208 () (or @t148 @t165 @t161 @t149 @t185 @t104)) % 34.88/35.12 (define @t209 () (tptp.doDivides0 tptp.xp tptp.sz00)) % 34.88/35.12 (define @t210 () (and @t100 @t116 @t165 @t170)) % 34.88/35.12 (define @t211 () (not @t170)) % 34.88/35.12 (define @t212 () (not @t165)) % 34.88/35.12 (define @t213 () (not @t100)) % 34.88/35.12 (define @t214 () (= tptp.sz10 tptp.xk)) % 34.88/35.12 (define @t215 () (= tptp.sz00 tptp.xk)) % 34.88/35.12 (define @t216 () (or @t215 @t214)) % 34.88/35.12 (define @t217 () (tptp.sdtsldt0 tptp.sz00 tptp.xp)) % 34.88/35.12 (define @t218 () (= tptp.sz00 @t217)) % 34.88/35.12 (define @t219 () (not @t218)) % 34.88/35.12 (define @t220 () (= tptp.sz00 @t105)) % 34.88/35.12 (define @t221 () (not @t220)) % 34.88/35.12 (define @t222 () (and @t116 @t221 @t165 @t170)) % 34.88/35.12 (define @t223 () (= tptp.sz10 @t5)) % 34.88/35.12 (define @t224 () (not @t85)) % 34.88/35.12 (define @t225 () (or @t123 @t224 @t223 @t54)) % 34.88/35.12 (define @t226 () (= @t92 (and @t46 @t90 (forall @t88 @t225)))) % 34.88/35.12 (define @t227 () (or @t223 @t54)) % 34.88/35.12 (define @t228 () (not (tptp.doDivides0 @t5 tptp.xp))) % 34.88/35.12 (define @t229 () (or @t123 @t228 @t223 (= tptp.xp @t5))) % 34.88/35.12 (define @t230 () (forall @t88 @t229)) % 34.88/35.12 (define @t231 () (not (= tptp.xp tptp.sz10))) % 34.88/35.12 (define @t232 () (not @t150)) % 34.88/35.12 (define @t233 () (and @t232 @t231 @t230)) % 34.88/35.12 (define @t234 () (= @t101 @t233)) % 34.88/35.12 (define @t235 () (or @t149 @t234)) % 34.88/35.12 (define @t236 () (forall @t3 (or @t124 @t226))) % 34.88/35.12 (define @t237 () (not @t153)) % 34.88/35.12 (define @t238 () (and @t237 (not (= tptp.sz10 tptp.xp)) (forall @t88 (or @t123 @t228 @t223 (= @t5 tptp.xp))))) % 34.88/35.12 (define @t239 () (= @t101 @t238)) % 34.88/35.12 (define @t240 () (or @t149 @t239)) % 34.88/35.12 (define @t241 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 34.88/35.12 (define @t242 () (and (tptp.aNaturalNumber0 @t241) (= @t5 (tptp.sdtasdt0 @t1 @t241)))) % 34.88/35.12 (define @t243 () (= @t242 (= @t241 @t75))) % 34.88/35.12 (define @t244 () (not @t74)) % 34.88/35.12 (define @t245 () (or @t124 @t123 @t45 @t244 @t243)) % 34.88/35.12 (define @t246 () (@list @t1 @t5 @t241)) % 34.88/35.12 (define @t247 () (forall @t246 @t245)) % 34.88/35.12 (define @t248 () (@list @t241)) % 34.88/35.12 (define @t249 () (forall @t248 @t245)) % 34.88/35.12 (define @t250 () (forall @t248 @t243)) % 34.88/35.12 (define @t251 () (or @t124 @t123 @t45 @t244 @t250)) % 34.88/35.12 (define @t252 () (forall @t52 (= @t73 @t76))) % 34.88/35.12 (define @t253 () (or @t124 @t123 @t45 @t244 @t252)) % 34.88/35.12 (define @t254 () (or @t45 @t244 @t252)) % 34.88/35.12 (define @t255 () (or @t124 @t123)) % 34.88/35.12 (define @t256 () (=> @t78 @t252)) % 34.88/35.12 (define @t257 () (not @t8)) % 34.88/35.12 (define @t258 () (and @t4 @t170)) % 34.88/35.12 (define @t259 () (= @t258 (= @t217 tptp.sz00))) % 34.88/35.12 (define @t260 () (not @t209)) % 34.88/35.12 (define @t261 () (or @t149 @t181 @t150 @t260 @t259)) % 34.88/35.12 (define @t262 () (forall @t246 (or @t124 @t123 @t45 @t244 (= @t242 (= @t75 @t241))))) % 34.88/35.12 (define @t263 () (= @t258 @t218)) % 34.88/35.12 (define @t264 () (or @t149 @t181 @t153 @t260 @t263)) % 34.88/35.12 (define @t265 () (@list @t262)) % 34.88/35.12 (define @t266 () (not @t175)) % 34.88/35.12 (define @t267 () (not @t179)) % 34.88/35.12 (define @t268 () (not @t117)) % 34.88/35.12 (define @t269 () (= tptp.sz00 @t99)) % 34.88/35.12 (define @t270 () (= tptp.sz00 @t112)) % 34.88/35.12 (define @t271 () (= false true)) % 34.88/35.12 (define @t272 () (and @t179 @t269 @t270 @t117)) % 34.88/35.12 (define @t273 () (= @t99 @t138)) % 34.88/35.12 (define @t274 () (and @t146 @t273)) % 34.88/35.12 (define @t275 () (= @t105 @t105)) % 34.88/35.12 (define @t276 () (tptp.aNaturalNumber0 @t99)) % 34.88/35.12 (define @t277 () (not @t276)) % 34.88/35.12 (define @t278 () (or @t149 @t277 @t150 @t213 (= @t274 @t275))) % 34.88/35.12 (define @t279 () (or @t149 @t277 @t153 @t213 @t274)) % 34.88/35.12 (define @t280 () (@list tptp.xn tptp.xm)) % 34.88/35.12 (define @t281 () (or @t161 @t148 @t276)) % 34.88/35.12 (define @t282 () (@list false false false)) % 34.88/35.12 (define @t283 () (@list false false true false false)) % 34.88/35.12 (define @t284 () (not @t274)) % 34.88/35.12 (define @t285 () (@list @t274)) % 34.88/35.12 (define @t286 () (= @t99 @t157)) % 34.88/35.12 (define @t287 () (or @t161 @t148 @t286)) % 34.88/35.12 (define @t288 () (not @t273)) % 34.88/35.12 (define @t289 () (not @t286)) % 34.88/35.12 (define @t290 () (and @t286 @t273 @t140 @t117)) % 34.88/35.12 (define @t291 () (not @t139)) % 34.88/35.12 (define @t292 () (not @t115)) % 34.88/35.12 (define @t293 () (not (= @t138 @t112))) % 34.88/35.12 (define @t294 () (and @t117 @t115 @t293 @t139)) % 34.88/35.12 (define @t295 () (= @t111 @t112)) % 34.88/35.12 (define @t296 () (not @t295)) % 34.88/35.12 (define @t297 () (and @t117 @t115 @t296 @t113)) % 34.88/35.12 (define @t298 () (not @t142)) % 34.88/35.12 (define @t299 () (@list true)) % 34.88/35.12 (define @t300 () (and @t97 @t116)) % 34.88/35.12 (define @t301 () (= @t300 (= @t105 tptp.xm))) % 34.88/35.12 (define @t302 () (or @t149 @t277 @t150 @t213 @t301)) % 34.88/35.12 (define @t303 () (= @t300 @t145)) % 34.88/35.12 (define @t304 () (or @t149 @t277 @t153 @t213 @t303)) % 34.88/35.12 (define @t305 () (not @t300)) % 34.88/35.12 (define @t306 () (not @t145)) % 34.88/35.12 (define @t307 () (@list true false)) % 34.88/35.12 (define @t308 () (tptp.sdtlseqdt0 tptp.xp @t105)) % 34.88/35.12 (define @t309 () (not @t308)) % 34.88/35.12 (define @t310 () (not @t102)) % 34.88/35.12 (define @t311 () (or @t148 @t149 @t147 @t310 @t309 @t143)) % 34.88/35.12 (define @t312 () (not @t311)) % 34.88/35.12 (define @t313 () (forall @t19 @t125)) % 34.88/35.12 (assume @p1 (forall @t3 (=> @t2 true))) % 34.88/35.12 (assume @p2 @t4) % 34.88/35.12 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 34.88/35.12 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 34.88/35.12 (assume @p5 @t12) % 34.88/35.12 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 34.88/35.12 (assume @p7 (forall @t19 (=> @t18 (= @t16 (tptp.sdtpldt0 @t1 @t15))))) % 34.88/35.12 (assume @p8 @t24) % 34.88/35.12 (assume @p9 @t27) % 34.88/35.12 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 34.88/35.12 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 34.88/35.12 (assume @p12 @t32) % 34.88/35.12 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t34)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t25 @t33)))))) % 34.88/35.12 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t6 @t37) (= @t13 @t36)) @t35)))) % 34.88/35.12 (assume @p15 @t49) % 34.88/35.12 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t45 @t50))))) % 34.88/35.12 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t45 @t50))))) % 34.88/35.12 (assume @p18 (forall @t9 (=> @t8 (= @t53 (exists @t52 @t51))))) % 34.88/35.12 (assume @p19 (forall @t9 (=> @t8 (=> @t53 (forall @t52 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t51)))))) % 34.88/35.12 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.88/35.12 (assume @p21 (forall @t9 (=> @t8 (=> (and @t53 @t55) @t54)))) % 34.88/35.12 (assume @p22 @t60) % 34.88/35.12 (assume @p23 (forall @t9 (=> @t8 (or @t53 (and (not @t61) @t55))))) % 34.88/35.12 (assume @p24 (forall @t9 (=> @t8 (=> @t63 (forall @t52 (=> @t17 (and (not (= @t36 @t62)) (tptp.sdtlseqdt0 @t36 @t62) (not (= @t37 @t15)) (tptp.sdtlseqdt0 @t37 @t15)))))))) % 34.88/35.12 (assume @p25 @t70) % 34.88/35.12 (assume @p26 (forall @t3 (=> @t2 (or @t45 @t71 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 34.88/35.12 (assume @p27 (forall @t9 (=> @t8 (=> @t46 (tptp.sdtlseqdt0 @t5 @t25))))) % 34.88/35.12 (assume @p28 (forall @t9 (=> @t8 (=> @t72 true)))) % 34.88/35.12 (assume @p29 (forall @t9 (=> @t8 (=> @t63 @t72)))) % 34.88/35.12 (assume @p30 (forall @t9 (=> @t8 (= @t74 (exists @t52 @t73))))) % 34.88/35.12 (assume @p31 @t81) % 34.88/35.12 (assume @p32 (forall @t19 (=> @t18 (=> (and @t74 (tptp.doDivides0 @t5 @t14)) @t82)))) % 34.88/35.12 (assume @p33 (forall @t19 (=> @t18 (=> (and @t74 @t82) @t83)))) % 34.88/35.12 (assume @p34 (forall @t19 (=> @t18 (=> (and @t74 @t83) @t82)))) % 34.88/35.12 (assume @p35 (forall @t9 (=> @t8 (=> (and @t74 (not @t50)) @t53)))) % 34.88/35.12 (assume @p36 (forall @t9 (=> @t8 (=> @t78 (forall @t52 (=> @t17 (= (tptp.sdtasdt0 @t14 @t75) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t5) @t1)))))))) % 34.88/35.12 (assume @p37 @t95) % 34.88/35.12 (assume @p38 (forall @t3 (=> (and @t2 @t46 @t90) (exists @t88 (and @t7 @t85 (tptp.isPrime0 @t5)))))) % 34.88/35.12 (assume @p39 (and @t98 @t97 @t96)) % 34.88/35.12 (assume @p40 (forall @t19 (=> @t18 (=> (and (tptp.isPrime0 @t14) (tptp.doDivides0 @t14 @t10)) (=> (tptp.iLess0 @t16 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t14 @t1) (tptp.doDivides0 @t14 @t5))))))) % 34.88/35.12 (assume @p41 (and @t101 @t100)) % 34.88/35.12 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 34.88/35.12 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 34.88/35.12 (assume @p44 (and (not @t104) @t103 (not (= tptp.xm tptp.xp)) @t102)) % 34.88/35.12 (assume @p45 (= tptp.xk @t105)) % 34.88/35.12 (assume @p46 @t109) % 34.88/35.12 (assume @p47 (and (not @t107) (not @t106))) % 34.88/35.12 (assume @p48 (and (tptp.aNaturalNumber0 tptp.xr) (tptp.doDivides0 tptp.xr tptp.xk) (tptp.isPrime0 tptp.xr))) % 34.88/35.12 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t99))) % 34.88/35.12 (assume @p50 @t110) % 34.88/35.12 (assume @p51 @t119) % 34.88/35.12 (assume @p52 true) % 34.88/35.12 (step @p53 :rule aci_norm :args ((= (or @t127 @t126) @t125))) % 34.88/35.12 (step @p54 :rule aci_norm :args ((= (or (or @t121 @t120) @t56) @t126))) % 34.88/35.12 (step @p55 :rule refl :args (@t56)) % 34.88/35.12 (step @p56 :rule bool-and-de-morgan :args (@t53 @t57 true)) % 34.88/35.12 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t58) @t56))) % 34.88/35.12 (step @p58 :rule trans :premises (@p57 @p54)) % 34.88/35.12 (step @p59 :rule bool-impl-elim :args (@t58 @t56)) % 34.88/35.12 (step @p60 :rule trans :premises (@p59 @p58)) % 34.88/35.12 (step @p61 :rule aci_norm :args ((= (or @t124 @t128) @t127))) % 34.88/35.12 (step @p62 :rule bool-and-de-morgan :args (@t7 @t17 true)) % 34.88/35.12 (step @p63 :rule refl :args (@t124)) % 34.88/35.12 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t124 @t129))) % 34.88/35.12 (step @p65 :rule bool-and-de-morgan :args (@t2 @t7 (and @t17))) % 34.88/35.12 (step @p66 :rule trans :premises (@p65 @p64)) % 34.88/35.12 (step @p67 :rule trans :premises (@p66 @p61)) % 34.88/35.12 (step @p68 :rule nary_cong :premises (@p67 @p60) :args ((or @t130 @t59))) % 34.88/35.12 (step @p69 :rule trans :premises (@p68 @p53)) % 34.88/35.12 (step @p70 :rule bool-impl-elim :args (@t18 @t59)) % 34.88/35.12 (step @p71 :rule trans :premises (@p70 @p69)) % 34.88/35.12 (step @p72 :rule cong :premises (@p71) :args (@t60)) % 34.88/35.12 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 34.88/35.12 (step @p74 :rule aci_norm :args ((= (or @t127 @t132) @t131))) % 34.88/35.12 (step @p75 :rule aci_norm :args ((= (or (or @t45 @t35 @t120) @t66) @t132))) % 34.88/35.12 (step @p76 :rule refl :args (@t66)) % 34.88/35.12 (step @p77 :rule refl :args (@t120)) % 34.88/35.12 (step @p78 :rule bool-double-not-elim :args (@t35)) % 34.88/35.12 (step @p79 :rule bool-double-not-elim :args (@t45)) % 34.88/35.12 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t135)) % 34.88/35.12 (step @p81 :rule aci_norm :args ((= (or @t134 (or @t133 @t120)) @t135))) % 34.88/35.12 (step @p82 :rule trans :premises (@p81 @p80)) % 34.88/35.12 (step @p83 :rule bool-and-de-morgan :args (@t67 @t57 true)) % 34.88/35.12 (step @p84 :rule refl :args (@t134)) % 34.88/35.12 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t134 (not (and @t67 @t57))))) % 34.88/35.12 (step @p86 :rule bool-and-de-morgan :args (@t46 @t67 (and @t57))) % 34.88/35.12 (step @p87 :rule trans :premises (@p86 @p85)) % 34.88/35.12 (step @p88 :rule trans :premises (@p87 @p82)) % 34.88/35.12 (step @p89 :rule nary_cong :premises (@p88 @p76) :args ((or (not @t68) @t66))) % 34.88/35.12 (step @p90 :rule trans :premises (@p89 @p75)) % 34.88/35.12 (step @p91 :rule bool-impl-elim :args (@t68 @t66)) % 34.88/35.12 (step @p92 :rule trans :premises (@p91 @p90)) % 34.88/35.12 (step @p93 :rule nary_cong :premises (@p67 @p92) :args ((or @t130 @t69))) % 34.88/35.12 (step @p94 :rule trans :premises (@p93 @p74)) % 34.88/35.12 (step @p95 :rule bool-impl-elim :args (@t18 @t69)) % 34.88/35.12 (step @p96 :rule trans :premises (@p95 @p94)) % 34.88/35.12 (step @p97 :rule cong :premises (@p96) :args (@t70)) % 34.88/35.12 (step @p98 :rule eq_resolve :premises (@p25 @p97)) % 34.88/35.12 (step @p99 :rule refl :args (@t142)) % 34.88/35.12 (step @p100 :rule refl :args (@t144)) % 34.88/35.12 (step @p101 :rule refl :args (@t145)) % 34.88/35.12 (step @p102 :rule eq-symm :args (tptp.xp tptp.sz00)) % 34.88/35.12 (step @p103 :rule refl :args (@t147)) % 34.88/35.12 (step @p104 :rule refl :args (@t148)) % 34.88/35.12 (step @p105 :rule refl :args (@t149)) % 34.88/35.12 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p100 @p99) :args (@t151)) % 34.88/35.12 (step @p107 :rule refl :args (@t152)) % 34.88/35.12 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t152 @t151))) % 34.88/35.12 (assume-push @p670 @t152) % 34.88/35.12 (step @p110 :rule instantiate :premises (@p98) :args ((@list tptp.xp tptp.xm @t105))) % 34.88/35.12 (step-pop @p671 :rule scope :premises (@p110)) % 34.88/35.12 (step @p111 :rule process_scope :premises (@p671) :args (@t151)) % 34.88/35.12 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 34.88/35.12 (step @p114 :rule implies_elim :premises (@p113)) % 34.88/35.12 (step @p115 :rule chain_m_resolution :premises (@p114 @p98) :args (@t154 @t155 @t156)) % 34.88/35.12 (step @p116 :rule refl :args (@t159)) % 34.88/35.12 (step @p117 :rule refl :args (@t160)) % 34.88/35.12 (step @p118 :rule refl :args (@t104)) % 34.88/35.12 (step @p119 :rule eq-symm :args (tptp.xm tptp.sz00)) % 34.88/35.12 (step @p120 :rule refl :args (@t161)) % 34.88/35.12 (step @p121 :rule nary_cong :premises (@p104 @p120 @p105 @p119 @p118 @p117 @p116) :args (@t163)) % 34.88/35.12 (step @p122 :rule cong :premises (@p107 @p121) :args ((=> @t152 @t163))) % 34.88/35.12 (assume-push @p672 @t152) % 34.88/35.12 (step @p124 :rule instantiate :premises (@p98) :args (@t164)) % 34.88/35.12 (step-pop @p673 :rule scope :premises (@p124)) % 34.88/35.12 (step @p125 :rule process_scope :premises (@p673) :args (@t163)) % 34.88/35.12 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 34.88/35.12 (step @p128 :rule implies_elim :premises (@p127)) % 34.88/35.12 (step @p129 :rule chain_m_resolution :premises (@p128 @p98) :args (@t166 @t155 @t156)) % 34.88/35.12 (step @p130 :rule bool-impl-elim :args (@t2 @t167)) % 34.88/35.12 (step @p131 :rule cong :premises (@p130) :args ((forall @t3 (=> @t2 @t167)))) % 34.88/35.12 (step @p132 :rule refl :args (@t28)) % 34.88/35.12 (step @p133 :rule eq-symm :args (@t29 tptp.sz00)) % 34.88/35.12 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t30)) % 34.88/35.12 (step @p135 :rule refl :args (@t2)) % 34.88/35.12 (step @p136 :rule cong :premises (@p135 @p134) :args (@t31)) % 34.88/35.12 (step @p137 :rule cong :premises (@p136) :args (@t32)) % 34.88/35.12 (step @p138 :rule trans :premises (@p137 @p131)) % 34.88/35.12 (step @p139 :rule eq_resolve :premises (@p12 @p138)) % 34.88/35.12 (step @p140 :rule instantiate :premises (@p139) :args (@t168)) % 34.88/35.12 (step @p141 :rule and_elim :premises (@p39) :args (2)) % 34.88/35.12 (step @p142 :rule cnf_or_pos :args (@t172)) % 34.88/35.12 (step @p143 :rule reordering :premises (@p142) :args ((or @t149 @t171 (not @t172)))) % 34.88/35.12 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p140) :args (@t171 @t173 (@list @t96 @t172))) % 34.88/35.12 (step @p145 :rule cnf_and_pos :args (@t171 0)) % 34.88/35.12 (step @p146 :rule reordering :premises (@p145) :args ((or @t170 (not @t171)))) % 34.88/35.12 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t170 @t155 (@list @t171))) % 34.88/35.12 (step @p148 :rule instantiate :premises (@p139) :args ((@list tptp.xn))) % 34.88/35.12 (step @p149 :rule and_elim :premises (@p39) :args (0)) % 34.88/35.12 (step @p150 :rule cnf_or_pos :args (@t177)) % 34.88/35.12 (step @p151 :rule reordering :premises (@p150) :args ((or @t161 @t176 (not @t177)))) % 34.88/35.12 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p148) :args (@t176 @t173 (@list @t98 @t177))) % 34.88/35.12 (step @p153 :rule cnf_and_pos :args (@t176 0)) % 34.88/35.12 (step @p154 :rule reordering :premises (@p153) :args ((or @t175 (not @t176)))) % 34.88/35.12 (step @p155 :rule chain_m_resolution :premises (@p154 @p152) :args (@t175 @t155 (@list @t176))) % 34.88/35.12 (step @p156 :rule 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34.88/35.13 (step @p596 :rule not_and :premises (@p595)) % 34.88/35.13 (step @p597 :rule eq_resolve :premises (@p596 @p565)) % 34.88/35.13 (step @p598 :rule chain_m_resolution :premises (@p597 @p444 @p561 @p549) :args (@t141 (@list true false false) (@list @t116 @t286 @t273))) % 34.88/35.13 (step @p599 :rule refl :args (@t291)) % 34.88/35.13 (step @p600 :rule bool-double-not-elim :args (@t140)) % 34.88/35.13 (step @p601 :rule refl :args (@t292)) % 34.88/35.13 (step @p602 :rule nary_cong :premises (@p447 @p601 @p600 @p599) :args ((or @t268 @t292 (not @t141) @t291))) % 34.88/35.13 (step @p603 :rule refl :args (@t139)) % 34.88/35.13 (step @p604 :rule eq-symm :args (@t138 @t112)) % 34.88/35.13 (step @p605 :rule cong :premises (@p604) :args (@t293)) % 34.88/35.13 (step @p606 :rule refl :args (@t115)) % 34.88/35.13 (step @p607 :rule nary_cong :premises (@p287 @p606 @p605 @p603) :args (@t294)) % 34.88/35.13 (step @p608 :rule cong :premises (@p607) :args ((not @t294))) % 34.88/35.13 (step @p248 :rule refl :args (tptp.xp)) % 34.88/35.13 (step @p609 :rule cong :premises (@p248 @p45) :args (@t111)) % 34.88/35.13 (step @p610 :rule refl :args (@t112)) % 34.88/35.13 (step @p611 :rule cong :premises (@p610 @p609) :args (@t113)) % 34.88/35.13 (step @p612 :rule cong :premises (@p609 @p610) :args (@t295)) % 34.88/35.13 (step @p613 :rule cong :premises (@p612) :args (@t296)) % 34.88/35.13 (step @p614 :rule nary_cong :premises (@p287 @p606 @p613 @p611) :args (@t297)) % 34.88/35.13 (step @p615 :rule cong :premises (@p614) :args ((not @t297))) % 34.88/35.13 (step @p616 :rule trans :premises (@p615 @p608)) % 34.88/35.13 (step @p617 :rule refl :args (@t113)) % 34.88/35.13 (step @p618 :rule eq-symm :args (@t112 @t111)) % 34.88/35.13 (step @p619 :rule cong :premises (@p618) :args (@t114)) % 34.88/35.13 (step @p620 :rule nary_cong :premises (@p287 @p606 @p619 @p617) :args (@t118)) % 34.88/35.13 (step @p621 :rule cong :premises (@p620) :args (@t119)) % 34.88/35.13 (step @p622 :rule trans :premises (@p621 @p616)) % 34.88/35.13 (step @p623 :rule eq_resolve :premises (@p51 @p622)) % 34.88/35.13 (step @p624 :rule not_and :premises (@p623)) % 34.88/35.13 (step @p625 :rule eq_resolve :premises (@p624 @p602)) % 34.88/35.13 (step @p626 :rule reordering :premises (@p625) :args ((or @t116 @t140 @t292 @t291))) % 34.88/35.13 (step @p627 :rule chain_m_resolution :premises (@p626 @p444 @p598 @p511) :args (@t291 (@list true true false) (@list @t116 @t140 @t115))) % 34.88/35.13 (step @p628 :rule cnf_and_pos :args (@t142 1)) % 34.88/35.13 (step @p629 :rule reordering :premises (@p628) :args ((or @t139 @t298))) % 34.88/35.13 (step @p630 :rule chain_m_resolution :premises (@p629 @p627) :args (@t298 @t299 (@list @t139))) % 34.88/35.13 (step @p631 :rule eq-symm :args (@t105 tptp.xm)) % 34.88/35.13 (step @p632 :rule refl :args (@t300)) % 34.88/35.13 (step @p633 :rule cong :premises (@p632 @p631) :args (@t301)) % 34.88/35.13 (step @p634 :rule nary_cong :premises (@p105 @p522 @p102 @p521 @p633) :args (@t302)) % 34.88/35.13 (step @p635 :rule cong :premises (@p428 @p634) :args ((=> @t262 @t302))) % 34.88/35.13 (assume-push @p758 @t262) % 34.88/35.13 (step @p637 :rule instantiate :premises (@p422) :args ((@list tptp.xp @t99 tptp.xm))) % 34.88/35.13 (step-pop @p759 :rule scope :premises (@p637)) % 34.88/35.13 (step @p638 :rule process_scope :premises (@p759) :args (@t302)) % 34.88/35.13 (step @p640 :rule eq_resolve :premises (@p638 @p635)) % 34.88/35.13 (step @p641 :rule implies_elim :premises (@p640)) % 34.88/35.13 (step @p642 :rule chain_m_resolution :premises (@p641 @p422) :args (@t304 @t155 @t265)) % 34.88/35.13 (step @p643 :rule cnf_or_pos :args (@t304)) % 34.88/35.13 (step @p644 :rule reordering :premises (@p643) :args ((or @t149 @t213 @t153 @t277 @t303 (not @t304)))) % 34.88/35.13 (step @p645 :rule chain_m_resolution :premises (@p644 @p141 @p237 @p377 @p543 @p642) :args (@t303 @t283 (@list @t96 @t100 @t153 @t276 @t304))) % 34.88/35.13 (step @p646 :rule cnf_and_pos :args (@t300 1)) % 34.88/35.13 (step @p647 :rule reordering :premises (@p646) :args ((or @t116 @t305))) % 34.88/35.13 (step @p648 :rule chain_m_resolution :premises (@p647 @p444) :args (@t305 @t299 (@list @t116))) % 34.88/35.13 (step @p649 :rule cnf_equiv_pos2 :args (@t303)) % 34.88/35.13 (step @p650 :rule reordering :premises (@p649) :args ((or @t300 @t306 (not @t303)))) % 34.88/35.13 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p645) :args (@t306 @t307 (@list @t300 @t303))) % 34.88/35.13 (step @p652 :rule cnf_and_pos :args (@t274 0)) % 34.88/35.13 (step @p653 :rule reordering :premises (@p652) :args ((or @t146 @t284))) % 34.88/35.13 (step @p654 :rule chain_m_resolution :premises (@p653 @p546) :args (@t146 @t155 @t285)) % 34.88/35.13 (step @p655 :rule cnf_or_pos :args (@t154)) % 34.88/35.13 (step @p656 :rule reordering :premises (@p655) :args ((or @t148 @t149 @t153 @t147 @t145 @t144 @t142 (not @t154)))) % 34.88/35.13 (step @p657 :rule chain_m_resolution :premises (@p656 @p182 @p141 @p377 @p654 @p651 @p630 @p115) :args (@t144 (@list false false true false true true false) (@list @t97 @t96 @t153 @t146 @t145 @t142 @t154))) % 34.88/35.13 (step @p658 :rule cong :premises (@p248 @p45) :args (@t110)) % 34.88/35.13 (step @p659 :rule eq_resolve :premises (@p50 @p658)) % 34.88/35.13 (step @p660 :rule and_elim :premises (@p44) :args (3)) % 34.88/35.13 (step @p661 :rule cnf_or_pos :args (@t311)) % 34.88/35.13 (step @p662 :rule reordering :premises (@p661) :args ((or @t148 @t149 @t310 @t309 @t147 @t143 @t312))) % 34.88/35.13 (step @p663 :rule chain_m_resolution :premises (@p662 @p182 @p141 @p660 @p659 @p654 @p657) :args (@t312 (@list false false false false false true) (@list @t97 @t96 @t102 @t308 @t146 @t143))) % 34.88/35.13 (assume-push @p760 @t313) % 34.88/35.13 (step @p665 :rule instantiate :premises (@p73) :args ((@list tptp.xm tptp.xp @t105))) % 34.88/35.13 (step-pop @p761 :rule scope :premises (@p665)) % 34.88/35.13 (step @p666 :rule process_scope :premises (@p761) :args (@t311)) % 34.88/35.13 (step @p668 :rule implies_elim :premises (@p666)) % 34.88/35.13 (step @p669 false :rule chain_m_resolution :premises (@p668 @p663 @p73) :args (false @t307 (@list @t311 @t313))) % 34.88/35.13 ) % 34.88/35.13 % SZS output end Proof % 34.88/35.13 % cvc5 exiting %------------------------------------------------------------------------------