%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM471+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:39:31 AM UTC 2026 % Result : Theorem 38.63s 38.85s % Output : Proof 38.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM471+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.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 11:22:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF % 38.63/38.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.63/38.85 --- Run --no-e-matching --full-saturate-quant at 6... % 38.63/38.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.63/38.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.63/38.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.63/38.85 % SZS status Theorem % 38.63/38.85 % SZS output start Proof % 38.63/38.85 ( % 38.63/38.85 (declare-sort $$unsorted 0) % 38.63/38.85 (declare-const tptp.xq $$unsorted) % 38.63/38.85 (declare-const tptp.xp $$unsorted) % 38.63/38.85 (declare-const tptp.sz10 $$unsorted) % 38.63/38.85 (declare-const tptp.xl $$unsorted) % 38.63/38.85 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.63/38.85 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 38.63/38.85 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 38.63/38.85 (declare-const tptp.sz00 $$unsorted) % 38.63/38.85 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.63/38.85 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.63/38.85 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.63/38.85 (declare-const tptp.xn $$unsorted) % 38.63/38.85 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 38.63/38.85 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 38.63/38.85 (declare-const tptp.xm $$unsorted) % 38.63/38.85 (define @t1 () (@var "W0" $$unsorted)) % 38.63/38.85 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 38.63/38.85 (define @t3 () (@list @t1)) % 38.63/38.85 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 38.63/38.85 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 38.63/38.85 (define @t6 () (@var "W1" $$unsorted)) % 38.63/38.85 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 38.63/38.85 (define @t8 () (tptp.aNaturalNumber0 @t7)) % 38.63/38.85 (define @t9 () (tptp.aNaturalNumber0 @t6)) % 38.63/38.85 (define @t10 () (and @t2 @t9)) % 38.63/38.85 (define @t11 () (@list @t1 @t6)) % 38.63/38.85 (define @t12 () (forall @t11 (=> @t10 @t8))) % 38.63/38.85 (define @t13 () (tptp.sdtasdt0 @t1 @t6)) % 38.63/38.85 (define @t14 () (tptp.sdtpldt0 @t6 @t1)) % 38.63/38.85 (define @t15 () (= @t7 @t14)) % 38.63/38.85 (define @t16 () (forall @t11 (=> @t10 @t15))) % 38.63/38.85 (define @t17 () (@var "W2" $$unsorted)) % 38.63/38.85 (define @t18 () (tptp.sdtpldt0 @t6 @t17)) % 38.63/38.85 (define @t19 () (= (tptp.sdtpldt0 @t7 @t17) (tptp.sdtpldt0 @t1 @t18))) % 38.63/38.85 (define @t20 () (tptp.aNaturalNumber0 @t17)) % 38.63/38.85 (define @t21 () (and @t2 @t9 @t20)) % 38.63/38.85 (define @t22 () (@list @t1 @t6 @t17)) % 38.63/38.85 (define @t23 () (forall @t22 (=> @t21 @t19))) % 38.63/38.85 (define @t24 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 38.63/38.85 (define @t25 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 38.63/38.85 (define @t26 () (and (= @t25 @t1) @t24)) % 38.63/38.85 (define @t27 () (=> @t2 @t26)) % 38.63/38.85 (define @t28 () (forall @t3 @t27)) % 38.63/38.85 (define @t29 () (tptp.sdtasdt0 @t6 @t1)) % 38.63/38.85 (define @t30 () (tptp.sdtasdt0 @t17 @t1)) % 38.63/38.85 (define @t31 () (tptp.sdtasdt0 @t1 @t17)) % 38.63/38.85 (define @t32 () (= @t6 @t17)) % 38.63/38.85 (define @t33 () (tptp.sdtpldt0 @t17 @t1)) % 38.63/38.85 (define @t34 () (= @t14 @t33)) % 38.63/38.85 (define @t35 () (tptp.sdtpldt0 @t1 @t17)) % 38.63/38.85 (define @t36 () (= @t7 @t35)) % 38.63/38.85 (define @t37 () (or @t36 @t34)) % 38.63/38.85 (define @t38 () (=> @t37 @t32)) % 38.63/38.85 (define @t39 () (forall @t22 (=> @t21 @t38))) % 38.63/38.85 (define @t40 () (= @t29 @t30)) % 38.63/38.85 (define @t41 () (= @t13 @t31)) % 38.63/38.85 (define @t42 () (or @t41 @t40)) % 38.63/38.85 (define @t43 () (=> @t42 @t32)) % 38.63/38.85 (define @t44 () (and @t9 @t20)) % 38.63/38.85 (define @t45 () (@list @t6 @t17)) % 38.63/38.85 (define @t46 () (forall @t45 (=> @t44 @t43))) % 38.63/38.85 (define @t47 () (= @t1 tptp.sz00)) % 38.63/38.85 (define @t48 () (not @t47)) % 38.63/38.85 (define @t49 () (=> @t48 @t46)) % 38.63/38.85 (define @t50 () (=> @t2 @t49)) % 38.63/38.85 (define @t51 () (forall @t3 @t50)) % 38.63/38.85 (define @t52 () (= @t6 tptp.sz00)) % 38.63/38.85 (define @t53 () (and @t47 @t52)) % 38.63/38.85 (define @t54 () (=> (= @t7 tptp.sz00) @t53)) % 38.63/38.85 (define @t55 () (=> @t10 @t54)) % 38.63/38.85 (define @t56 () (forall @t11 @t55)) % 38.63/38.85 (define @t57 () (and @t20 (= @t35 @t6))) % 38.63/38.85 (define @t58 () (@list @t17)) % 38.63/38.85 (define @t59 () (exists @t58 @t57)) % 38.63/38.85 (define @t60 () (tptp.sdtlseqdt0 @t1 @t6)) % 38.63/38.85 (define @t61 () (= @t60 @t59)) % 38.63/38.85 (define @t62 () (=> @t10 @t61)) % 38.63/38.85 (define @t63 () (forall @t11 @t62)) % 38.63/38.85 (define @t64 () (= @t1 @t6)) % 38.63/38.85 (define @t65 () (tptp.sdtlseqdt0 @t6 @t1)) % 38.63/38.85 (define @t66 () (and @t60 @t65)) % 38.63/38.85 (define @t67 () (=> @t66 @t64)) % 38.63/38.85 (define @t68 () (forall @t11 (=> @t10 @t67))) % 38.63/38.85 (define @t69 () (tptp.sdtlseqdt0 @t6 @t17)) % 38.63/38.85 (define @t70 () (not (= @t6 @t1))) % 38.63/38.85 (define @t71 () (and @t70 @t65)) % 38.63/38.85 (define @t72 () (or @t60 @t71)) % 38.63/38.85 (define @t73 () (=> @t10 @t72)) % 38.63/38.85 (define @t74 () (forall @t11 @t73)) % 38.63/38.85 (define @t75 () (tptp.sdtlseqdt0 @t35 @t18)) % 38.63/38.85 (define @t76 () (not (= @t35 @t18))) % 38.63/38.85 (define @t77 () (tptp.sdtpldt0 @t17 @t6)) % 38.63/38.85 (define @t78 () (tptp.sdtlseqdt0 @t33 @t77)) % 38.63/38.85 (define @t79 () (not (= @t33 @t77))) % 38.63/38.85 (define @t80 () (and @t79 @t78 @t76 @t75)) % 38.63/38.85 (define @t81 () (=> @t20 @t80)) % 38.63/38.85 (define @t82 () (forall @t58 @t81)) % 38.63/38.85 (define @t83 () (not @t64)) % 38.63/38.85 (define @t84 () (and @t83 @t60)) % 38.63/38.85 (define @t85 () (=> @t84 @t82)) % 38.63/38.85 (define @t86 () (=> @t10 @t85)) % 38.63/38.85 (define @t87 () (forall @t11 @t86)) % 38.63/38.85 (define @t88 () (not @t40)) % 38.63/38.85 (define @t89 () (not @t41)) % 38.63/38.85 (define @t90 () (and @t89 (tptp.sdtlseqdt0 @t13 @t31) @t88 (tptp.sdtlseqdt0 @t29 @t30))) % 38.63/38.85 (define @t91 () (not @t32)) % 38.63/38.85 (define @t92 () (and @t48 @t91 @t69)) % 38.63/38.85 (define @t93 () (=> @t92 @t90)) % 38.63/38.85 (define @t94 () (forall @t22 (=> @t21 @t93))) % 38.63/38.85 (define @t95 () (tptp.iLess0 @t1 @t6)) % 38.63/38.85 (define @t96 () (= @t6 @t31)) % 38.63/38.85 (define @t97 () (and @t20 @t96)) % 38.63/38.85 (define @t98 () (exists @t58 @t97)) % 38.63/38.85 (define @t99 () (tptp.doDivides0 @t1 @t6)) % 38.63/38.85 (define @t100 () (= @t99 @t98)) % 38.63/38.85 (define @t101 () (=> @t10 @t100)) % 38.63/38.85 (define @t102 () (forall @t11 @t101)) % 38.63/38.85 (define @t103 () (tptp.sdtsldt0 @t6 @t1)) % 38.63/38.85 (define @t104 () (= @t17 @t103)) % 38.63/38.85 (define @t105 () (forall @t58 (= @t104 @t97))) % 38.63/38.85 (define @t106 () (and @t48 @t99)) % 38.63/38.85 (define @t107 () (=> @t106 @t105)) % 38.63/38.85 (define @t108 () (=> @t10 @t107)) % 38.63/38.85 (define @t109 () (forall @t11 @t108)) % 38.63/38.85 (define @t110 () (tptp.doDivides0 @t1 @t17)) % 38.63/38.85 (define @t111 () (tptp.aNaturalNumber0 tptp.xn)) % 38.63/38.85 (define @t112 () (tptp.aNaturalNumber0 tptp.xm)) % 38.63/38.85 (define @t113 () (tptp.aNaturalNumber0 tptp.xl)) % 38.63/38.85 (define @t114 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 38.63/38.85 (define @t115 () (tptp.doDivides0 tptp.xl @t114)) % 38.63/38.85 (define @t116 () (tptp.doDivides0 tptp.xl tptp.xm)) % 38.63/38.85 (define @t117 () (= tptp.xl tptp.sz00)) % 38.63/38.85 (define @t118 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 38.63/38.85 (define @t119 () (tptp.sdtsldt0 @t114 tptp.xl)) % 38.63/38.85 (define @t120 () (tptp.sdtlseqdt0 tptp.xp tptp.xq)) % 38.63/38.85 (define @t121 () (not @t120)) % 38.63/38.85 (define @t122 () (not @t9)) % 38.63/38.85 (define @t123 () (not @t2)) % 38.63/38.85 (define @t124 () (or @t123 @t122)) % 38.63/38.85 (define @t125 () (not @t10)) % 38.63/38.85 (define @t126 () (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) % 38.63/38.85 (define @t127 () (tptp.sdtpldt0 tptp.sz00 tptp.sz10)) % 38.63/38.85 (define @t128 () (= @t127 @t126)) % 38.63/38.85 (define @t129 () (not @t5)) % 38.63/38.85 (define @t130 () (not @t4)) % 38.63/38.85 (define @t131 () (or @t130 @t129 @t128)) % 38.63/38.85 (define @t132 () (@list false false false)) % 38.63/38.85 (define @t133 () (and (= @t1 @t25) @t24)) % 38.63/38.85 (define @t134 () (= tptp.sz10 @t126)) % 38.63/38.85 (define @t135 () (and @t134 (= tptp.sz10 @t127))) % 38.63/38.85 (define @t136 () (or @t129 @t135)) % 38.63/38.85 (define @t137 () (@list false false)) % 38.63/38.85 (define @t138 () (@list false)) % 38.63/38.85 (define @t139 () (and (not @t36) (not @t34))) % 38.63/38.85 (define @t140 () (not @t20)) % 38.63/38.85 (define @t141 () (or @t123 @t122 @t140 @t139 @t32)) % 38.63/38.85 (define @t142 () (or @t123 @t122 @t140)) % 38.63/38.85 (define @t143 () (or @t122 @t140)) % 38.63/38.85 (define @t144 () (not @t44)) % 38.63/38.85 (define @t145 () (not @t21)) % 38.63/38.85 (define @t146 () (= tptp.xm @t114)) % 38.63/38.85 (define @t147 () (tptp.sdtpldt0 tptp.xm tptp.sz10)) % 38.63/38.85 (define @t148 () (tptp.sdtpldt0 @t114 tptp.sz10)) % 38.63/38.85 (define @t149 () (not (= @t147 @t148))) % 38.63/38.85 (define @t150 () (tptp.sdtpldt0 tptp.sz10 tptp.xm)) % 38.63/38.85 (define @t151 () (tptp.sdtpldt0 tptp.sz10 @t114)) % 38.63/38.85 (define @t152 () (not (= @t150 @t151))) % 38.63/38.85 (define @t153 () (and @t152 @t149)) % 38.63/38.85 (define @t154 () (tptp.aNaturalNumber0 @t114)) % 38.63/38.85 (define @t155 () (not @t154)) % 38.63/38.85 (define @t156 () (not @t112)) % 38.63/38.85 (define @t157 () (or @t129 @t156 @t155 @t153 @t146)) % 38.63/38.85 (define @t158 () (forall @t22 @t141)) % 38.63/38.85 (define @t159 () (= @t151 @t150)) % 38.63/38.85 (define @t160 () (not @t159)) % 38.63/38.85 (define @t161 () (and @t160 (not (= @t148 @t147)))) % 38.63/38.85 (define @t162 () (or @t129 @t156 @t155 @t161 @t146)) % 38.63/38.85 (define @t163 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 38.63/38.85 (define @t164 () (and (tptp.aNaturalNumber0 @t163) (= @t6 (tptp.sdtasdt0 @t1 @t163)))) % 38.63/38.85 (define @t165 () (= @t164 (= @t163 @t103))) % 38.63/38.85 (define @t166 () (not @t99)) % 38.63/38.85 (define @t167 () (or @t123 @t122 @t47 @t166 @t165)) % 38.63/38.85 (define @t168 () (@list @t1 @t6 @t163)) % 38.63/38.85 (define @t169 () (forall @t168 @t167)) % 38.63/38.85 (define @t170 () (@list @t163)) % 38.63/38.85 (define @t171 () (forall @t170 @t167)) % 38.63/38.85 (define @t172 () (forall @t170 @t165)) % 38.63/38.85 (define @t173 () (@list @t17)) % 38.63/38.85 (define @t174 () (or @t123 @t122 @t47 @t166 @t172)) % 38.63/38.85 (define @t175 () (forall @t58 (= @t97 @t104))) % 38.63/38.85 (define @t176 () (or @t123 @t122 @t47 @t166 @t175)) % 38.63/38.85 (define @t177 () (or @t47 @t166 @t175)) % 38.63/38.85 (define @t178 () (not @t48)) % 38.63/38.85 (define @t179 () (=> @t106 @t175)) % 38.63/38.85 (define @t180 () (forall @t58 (or @t140 (not (= tptp.xm (tptp.sdtasdt0 tptp.xl @t17)))))) % 38.63/38.85 (define @t181 () (@quantifiers_skolemize @t180 0)) % 38.63/38.85 (define @t182 () (= @t119 @t181)) % 38.63/38.85 (define @t183 () (tptp.sdtasdt0 tptp.xl @t181)) % 38.63/38.85 (define @t184 () (= @t114 @t183)) % 38.63/38.85 (define @t185 () (tptp.aNaturalNumber0 @t181)) % 38.63/38.85 (define @t186 () (and @t185 @t184)) % 38.63/38.85 (define @t187 () (= @t186 @t182)) % 38.63/38.85 (define @t188 () (not @t115)) % 38.63/38.85 (define @t189 () (not @t113)) % 38.63/38.85 (define @t190 () (or @t189 @t155 @t117 @t188 @t187)) % 38.63/38.85 (define @t191 () (forall @t168 (or @t123 @t122 @t47 @t166 (= @t164 (= @t103 @t163))))) % 38.63/38.85 (define @t192 () (= tptp.sz00 tptp.xl)) % 38.63/38.85 (define @t193 () (or @t189 @t155 @t192 @t188 @t187)) % 38.63/38.85 (define @t194 () (@list @t191)) % 38.63/38.85 (define @t195 () (@list tptp.xm tptp.xn)) % 38.63/38.85 (define @t196 () (not @t111)) % 38.63/38.85 (define @t197 () (or @t156 @t196 @t154)) % 38.63/38.85 (define @t198 () (@list true false false false false)) % 38.63/38.85 (define @t199 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 38.63/38.85 (define @t200 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 38.63/38.85 (define @t201 () (= @t200 @t199)) % 38.63/38.85 (define @t202 () (and (not (= (tptp.sdtasdt0 @t1 @t200) (tptp.sdtasdt0 @t1 @t199))) (not (= (tptp.sdtasdt0 @t200 @t1) (tptp.sdtasdt0 @t199 @t1))))) % 38.63/38.85 (define @t203 () (not (tptp.aNaturalNumber0 @t199))) % 38.63/38.85 (define @t204 () (not (tptp.aNaturalNumber0 @t200))) % 38.63/38.85 (define @t205 () (or @t123 @t47 @t204 @t203 @t202 @t201)) % 38.63/38.85 (define @t206 () (or @t204 @t203 @t202 @t201)) % 38.63/38.85 (define @t207 () (or @t123 @t47 @t206)) % 38.63/38.85 (define @t208 () (@list @t1 @t200 @t199)) % 38.63/38.85 (define @t209 () (forall @t208 @t207)) % 38.63/38.85 (define @t210 () (@list @t200 @t199)) % 38.63/38.85 (define @t211 () (forall @t210 @t207)) % 38.63/38.85 (define @t212 () (forall @t210 @t206)) % 38.63/38.85 (define @t213 () (or @t123 @t47 @t212)) % 38.63/38.85 (define @t214 () (and @t89 @t88)) % 38.63/38.85 (define @t215 () (or @t122 @t140 @t214 @t32)) % 38.63/38.85 (define @t216 () (forall @t45 @t215)) % 38.63/38.85 (define @t217 () (or @t123 @t47 @t216)) % 38.63/38.85 (define @t218 () (=> @t48 @t216)) % 38.63/38.85 (define @t219 () (= @t118 @t181)) % 38.63/38.85 (define @t220 () (tptp.sdtasdt0 @t118 tptp.xl)) % 38.63/38.85 (define @t221 () (not (= @t220 (tptp.sdtasdt0 @t181 tptp.xl)))) % 38.63/38.85 (define @t222 () (tptp.sdtasdt0 tptp.xl @t118)) % 38.63/38.85 (define @t223 () (not (= @t222 @t183))) % 38.63/38.85 (define @t224 () (and @t223 @t221)) % 38.63/38.85 (define @t225 () (not @t185)) % 38.63/38.85 (define @t226 () (tptp.aNaturalNumber0 @t118)) % 38.63/38.85 (define @t227 () (not @t226)) % 38.63/38.85 (define @t228 () (or @t189 @t117 @t227 @t225 @t224 @t219)) % 38.63/38.85 (define @t229 () (forall @t208 @t205)) % 38.63/38.85 (define @t230 () (= @t183 @t222)) % 38.63/38.85 (define @t231 () (not @t230)) % 38.63/38.85 (define @t232 () (and @t231 @t221)) % 38.63/38.85 (define @t233 () (or @t189 @t192 @t227 @t225 @t232 @t219)) % 38.63/38.85 (define @t234 () (= tptp.xm @t222)) % 38.63/38.85 (define @t235 () (and @t226 @t234)) % 38.63/38.85 (define @t236 () (= @t118 @t118)) % 38.63/38.85 (define @t237 () (not @t116)) % 38.63/38.85 (define @t238 () (or @t189 @t156 @t117 @t237 (= @t235 @t236))) % 38.63/38.85 (define @t239 () (or @t189 @t156 @t192 @t237 @t235)) % 38.63/38.85 (define @t240 () (not @t235)) % 38.63/38.85 (define @t241 () (@list @t235)) % 38.63/38.85 (define @t242 () (= @t99 (not (forall @t58 (or @t140 (not @t96)))))) % 38.63/38.85 (define @t243 () (forall @t58 (not @t97))) % 38.63/38.85 (define @t244 () (not @t243)) % 38.63/38.85 (define @t245 () (not @t180)) % 38.63/38.85 (define @t246 () (= @t116 @t245)) % 38.63/38.85 (define @t247 () (or @t189 @t156 @t246)) % 38.63/38.85 (define @t248 () (= tptp.xm @t183)) % 38.63/38.85 (define @t249 () (not @t248)) % 38.63/38.85 (define @t250 () (or @t225 @t249)) % 38.63/38.85 (define @t251 () (@list true)) % 38.63/38.85 (define @t252 () (@list @t250)) % 38.63/38.85 (define @t253 () (not @t232)) % 38.63/38.85 (define @t254 () (and @t83 @t65)) % 38.63/38.85 (define @t255 () (or @t123 @t122 @t60 @t254)) % 38.63/38.85 (define @t256 () (or @t60 @t254)) % 38.63/38.85 (define @t257 () (tptp.sdtasdt0 tptp.xl @t119)) % 38.63/38.85 (define @t258 () (= @t114 @t257)) % 38.63/38.85 (define @t259 () (tptp.aNaturalNumber0 @t119)) % 38.63/38.85 (define @t260 () (and @t259 @t258)) % 38.63/38.85 (define @t261 () (= @t119 @t119)) % 38.63/38.85 (define @t262 () (or @t189 @t155 @t117 @t188 (= @t260 @t261))) % 38.63/38.85 (define @t263 () (or @t189 @t155 @t192 @t188 @t260)) % 38.63/38.85 (define @t264 () (not @t260)) % 38.63/38.85 (define @t265 () (@list @t260)) % 38.63/38.85 (define @t266 () (tptp.sdtlseqdt0 @t119 @t118)) % 38.63/38.85 (define @t267 () (= @t118 @t119)) % 38.63/38.85 (define @t268 () (not @t267)) % 38.63/38.85 (define @t269 () (and @t268 @t266)) % 38.63/38.85 (define @t270 () (tptp.sdtlseqdt0 @t118 @t119)) % 38.63/38.85 (define @t271 () (not @t259)) % 38.63/38.85 (define @t272 () (or @t227 @t271 @t270 @t269)) % 38.63/38.85 (define @t273 () (not @t219)) % 38.63/38.85 (define @t274 () (not @t182)) % 38.63/38.85 (define @t275 () (and @t219 @t182 @t268)) % 38.63/38.85 (define @t276 () (@list true false)) % 38.63/38.85 (define @t277 () (not @t186)) % 38.63/38.85 (define @t278 () (not @t184)) % 38.63/38.85 (define @t279 () (@list false true)) % 38.63/38.85 (define @t280 () (not @t146)) % 38.63/38.85 (define @t281 () (= @t114 tptp.xm)) % 38.63/38.85 (define @t282 () (and @t248 @t278)) % 38.63/38.85 (define @t283 () (or @t123 @t122 @t140 @t19)) % 38.63/38.85 (define @t284 () (tptp.sdtpldt0 tptp.sz00 @t150)) % 38.63/38.85 (define @t285 () (tptp.sdtpldt0 @t127 tptp.xm)) % 38.63/38.85 (define @t286 () (= @t285 @t284)) % 38.63/38.85 (define @t287 () (or @t130 @t129 @t156 @t286)) % 38.63/38.85 (define @t288 () (@list false false false false)) % 38.63/38.85 (define @t289 () (tptp.sdtpldt0 @t150 tptp.xn)) % 38.63/38.85 (define @t290 () (or @t129 @t156 @t196 (= @t289 @t151))) % 38.63/38.85 (define @t291 () (forall @t22 @t283)) % 38.63/38.85 (define @t292 () (= @t151 @t289)) % 38.63/38.85 (define @t293 () (or @t129 @t156 @t196 @t292)) % 38.63/38.85 (define @t294 () (tptp.aNaturalNumber0 @t150)) % 38.63/38.85 (define @t295 () (or @t129 @t156 @t294)) % 38.63/38.85 (define @t296 () (= @t284 (tptp.sdtpldt0 @t150 tptp.sz00))) % 38.63/38.85 (define @t297 () (not @t294)) % 38.63/38.85 (define @t298 () (or @t130 @t297 @t296)) % 38.63/38.85 (define @t299 () (not @t65)) % 38.63/38.85 (define @t300 () (not @t60)) % 38.63/38.85 (define @t301 () (or @t300 @t299 @t64)) % 38.63/38.85 (define @t302 () (not @t69)) % 38.63/38.85 (define @t303 () (or @t123 @t122 @t140 @t47 @t32 @t302 @t90)) % 38.63/38.85 (define @t304 () (or @t47 @t32 @t302 @t90)) % 38.63/38.85 (define @t305 () (not @t91)) % 38.63/38.85 (define @t306 () (or @t178 @t305 @t302)) % 38.63/38.85 (define @t307 () (tptp.sdtasdt0 @t119 tptp.xl)) % 38.63/38.85 (define @t308 () (tptp.sdtlseqdt0 @t307 @t220)) % 38.63/38.85 (define @t309 () (not (= @t307 @t220))) % 38.63/38.85 (define @t310 () (tptp.sdtlseqdt0 @t257 @t222)) % 38.63/38.85 (define @t311 () (not (= @t257 @t222))) % 38.63/38.85 (define @t312 () (and @t311 @t310 @t309 @t308)) % 38.63/38.85 (define @t313 () (not @t266)) % 38.63/38.85 (define @t314 () (= @t119 @t118)) % 38.63/38.85 (define @t315 () (or @t189 @t271 @t227 @t117 @t314 @t313 @t312)) % 38.63/38.85 (define @t316 () (forall @t22 @t303)) % 38.63/38.85 (define @t317 () (and (not (= @t222 @t257)) @t310 @t309 @t308)) % 38.63/38.85 (define @t318 () (or @t189 @t271 @t227 @t192 @t267 @t313 @t317)) % 38.63/38.85 (define @t319 () (not @t314)) % 38.63/38.85 (define @t320 () (and @t319 @t270)) % 38.63/38.85 (define @t321 () (or @t271 @t227 @t266 @t320)) % 38.63/38.85 (define @t322 () (forall @t11 @t255)) % 38.63/38.85 (define @t323 () (and @t268 @t270)) % 38.63/38.85 (define @t324 () (or @t271 @t227 @t266 @t323)) % 38.63/38.85 (define @t325 () (not @t323)) % 38.63/38.85 (define @t326 () (tptp.sdtlseqdt0 @t114 tptp.xm)) % 38.63/38.85 (define @t327 () (not @t326)) % 38.63/38.85 (define @t328 () (tptp.sdtlseqdt0 tptp.xm @t114)) % 38.63/38.85 (define @t329 () (not @t328)) % 38.63/38.85 (define @t330 () (or @t156 @t155 @t329 @t327 @t146)) % 38.63/38.85 (define @t331 () (tptp.sdtpldt0 tptp.sz00 tptp.xm)) % 38.63/38.85 (define @t332 () (= tptp.xm @t331)) % 38.63/38.85 (define @t333 () (tptp.sdtpldt0 tptp.xm tptp.sz00)) % 38.63/38.85 (define @t334 () (and (= tptp.xm @t333) @t332)) % 38.63/38.85 (define @t335 () (or @t156 @t334)) % 38.63/38.85 (define @t336 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 38.63/38.85 (define @t337 () (= @t114 @t336)) % 38.63/38.85 (define @t338 () (or @t156 @t196 @t337)) % 38.63/38.85 (define @t339 () (tptp.sdtlseqdt0 @t331 @t336)) % 38.63/38.85 (define @t340 () (not @t339)) % 38.63/38.85 (define @t341 () (not @t332)) % 38.63/38.85 (define @t342 () (not @t337)) % 38.63/38.85 (define @t343 () (and @t337 @t332 @t329)) % 38.63/38.85 (define @t344 () (not (= @t336 @t331))) % 38.63/38.85 (define @t345 () (tptp.sdtlseqdt0 @t333 @t114)) % 38.63/38.85 (define @t346 () (and (not (= @t114 @t333)) @t345 @t344 @t339)) % 38.63/38.85 (define @t347 () (not @t346)) % 38.63/38.85 (define @t348 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 38.63/38.85 (define @t349 () (tptp.sdtpldt0 @t6 @t348)) % 38.63/38.85 (define @t350 () (tptp.sdtpldt0 @t1 @t348)) % 38.63/38.85 (define @t351 () (tptp.sdtpldt0 @t348 @t6)) % 38.63/38.85 (define @t352 () (tptp.sdtpldt0 @t348 @t1)) % 38.63/38.85 (define @t353 () (and (not (= @t352 @t351)) (tptp.sdtlseqdt0 @t352 @t351) (not (= @t349 @t350)) (tptp.sdtlseqdt0 @t350 @t349))) % 38.63/38.85 (define @t354 () (not (tptp.aNaturalNumber0 @t348))) % 38.63/38.85 (define @t355 () (or @t123 @t122 @t64 @t300 @t354 @t353)) % 38.63/38.85 (define @t356 () (or @t354 @t353)) % 38.63/38.85 (define @t357 () (or @t123 @t122 @t64 @t300 @t356)) % 38.63/38.85 (define @t358 () (@list @t1 @t6 @t348)) % 38.63/38.85 (define @t359 () (forall @t358 @t357)) % 38.63/38.85 (define @t360 () (@list @t348)) % 38.63/38.85 (define @t361 () (forall @t360 @t357)) % 38.63/38.85 (define @t362 () (forall @t360 @t356)) % 38.63/38.85 (define @t363 () (or @t123 @t122 @t64 @t300 @t362)) % 38.63/38.85 (define @t364 () (and @t79 @t78 (not (= @t18 @t35)) @t75)) % 38.63/38.85 (define @t365 () (forall @t58 (or @t140 @t364))) % 38.63/38.85 (define @t366 () (or @t123 @t122 @t64 @t300 @t365)) % 38.63/38.85 (define @t367 () (or @t64 @t300 @t365)) % 38.63/38.85 (define @t368 () (=> @t84 @t365)) % 38.63/38.85 (define @t369 () (not (= @t333 @t114))) % 38.63/38.85 (define @t370 () (and @t369 @t345 @t344 @t339)) % 38.63/38.85 (define @t371 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xn)) % 38.63/38.85 (define @t372 () (not @t371)) % 38.63/38.85 (define @t373 () (= tptp.sz00 tptp.xn)) % 38.63/38.85 (define @t374 () (or @t130 @t196 @t373 @t372 @t156 @t370)) % 38.63/38.85 (define @t375 () (forall @t358 @t355)) % 38.63/38.85 (define @t376 () (or @t130 @t196 @t373 @t372 @t156 @t346)) % 38.63/38.85 (define @t377 () (forall @t58 (or @t140 (not (= tptp.sz00 (tptp.sdtpldt0 tptp.xn @t17)))))) % 38.63/38.85 (define @t378 () (@quantifiers_skolemize @t377 0)) % 38.63/38.85 (define @t379 () (= tptp.sz00 @t378)) % 38.63/38.85 (define @t380 () (and @t373 @t379)) % 38.63/38.85 (define @t381 () (tptp.sdtlseqdt0 tptp.xn tptp.sz00)) % 38.63/38.85 (define @t382 () (not @t373)) % 38.63/38.85 (define @t383 () (and @t382 @t381)) % 38.63/38.85 (define @t384 () (or @t130 @t196 @t371 @t383)) % 38.63/38.85 (define @t385 () (= @t6 @t35)) % 38.63/38.85 (define @t386 () (= @t60 (not (forall @t58 (or @t140 (not @t385)))))) % 38.63/38.85 (define @t387 () (and @t20 @t385)) % 38.63/38.85 (define @t388 () (forall @t58 (not @t387))) % 38.63/38.85 (define @t389 () (not @t388)) % 38.63/38.85 (define @t390 () (not @t377)) % 38.63/38.85 (define @t391 () (= @t381 @t390)) % 38.63/38.85 (define @t392 () (or @t196 @t130 @t391)) % 38.63/38.85 (define @t393 () (= tptp.sz00 (tptp.sdtpldt0 tptp.xn @t378))) % 38.63/38.85 (define @t394 () (not @t393)) % 38.63/38.85 (define @t395 () (tptp.aNaturalNumber0 @t378)) % 38.63/38.85 (define @t396 () (not @t395)) % 38.63/38.85 (define @t397 () (or @t396 @t394)) % 38.63/38.85 (define @t398 () (not @t397)) % 38.63/38.85 (define @t399 () (and @t47 (= tptp.sz00 @t6))) % 38.63/38.85 (define @t400 () (= tptp.sz00 @t7)) % 38.63/38.85 (define @t401 () (not @t400)) % 38.63/38.85 (define @t402 () (or @t123 @t122 @t401 @t399)) % 38.63/38.85 (define @t403 () (=> @t400 @t399)) % 38.63/38.85 (define @t404 () (and (= tptp.xn tptp.sz00) @t379)) % 38.63/38.85 (define @t405 () (or @t196 @t396 @t394 @t404)) % 38.63/38.85 (define @t406 () (forall @t11 @t402)) % 38.63/38.85 (define @t407 () (or @t196 @t396 @t394 @t380)) % 38.63/38.85 (define @t408 () (and @t373 @t128 @t134 @t286 @t296 @t292)) % 38.63/38.85 (assume @p1 (forall @t3 (=> @t2 true))) % 38.63/38.85 (assume @p2 @t4) % 38.63/38.85 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 38.63/38.85 (assume @p4 @t12) % 38.63/38.85 (assume @p5 (forall @t11 (=> @t10 (tptp.aNaturalNumber0 @t13)))) % 38.63/38.85 (assume @p6 @t16) % 38.63/38.85 (assume @p7 @t23) % 38.63/38.85 (assume @p8 @t28) % 38.63/38.85 (assume @p9 (forall @t11 (=> @t10 (= @t13 @t29)))) % 38.63/38.85 (assume @p10 (forall @t22 (=> @t21 (= (tptp.sdtasdt0 @t13 @t17) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t17)))))) % 38.63/38.85 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 38.63/38.85 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 38.63/38.85 (assume @p13 (forall @t22 (=> @t21 (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t13 @t31)) (= (tptp.sdtasdt0 @t18 @t1) (tptp.sdtpldt0 @t29 @t30)))))) % 38.63/38.85 (assume @p14 @t39) % 38.63/38.85 (assume @p15 @t51) % 38.63/38.85 (assume @p16 @t56) % 38.63/38.85 (assume @p17 (forall @t11 (=> @t10 (=> (= @t13 tptp.sz00) (or @t47 @t52))))) % 38.63/38.85 (assume @p18 @t63) % 38.63/38.85 (assume @p19 (forall @t11 (=> @t10 (=> @t60 (forall @t58 (= (= @t17 (tptp.sdtmndt0 @t6 @t1)) @t57)))))) % 38.63/38.85 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 38.63/38.85 (assume @p21 @t68) % 38.63/38.85 (assume @p22 (forall @t22 (=> @t21 (=> (and @t60 @t69) (tptp.sdtlseqdt0 @t1 @t17))))) % 38.63/38.85 (assume @p23 @t74) % 38.63/38.85 (assume @p24 @t87) % 38.63/38.85 (assume @p25 @t94) % 38.63/38.85 (assume @p26 (forall @t3 (=> @t2 (or @t47 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 38.63/38.85 (assume @p27 (forall @t11 (=> @t10 (=> @t48 (tptp.sdtlseqdt0 @t6 @t29))))) % 38.63/38.85 (assume @p28 (forall @t11 (=> @t10 (=> @t95 true)))) % 38.63/38.85 (assume @p29 (forall @t11 (=> @t10 (=> @t84 @t95)))) % 38.63/38.85 (assume @p30 @t102) % 38.63/38.85 (assume @p31 @t109) % 38.63/38.85 (assume @p32 (forall @t22 (=> @t21 (=> (and @t99 (tptp.doDivides0 @t6 @t17)) @t110)))) % 38.63/38.85 (assume @p33 (forall @t22 (=> @t21 (=> (and @t99 @t110) (tptp.doDivides0 @t1 @t18))))) % 38.63/38.85 (assume @p34 (and @t113 @t112 @t111)) % 38.63/38.85 (assume @p35 (and @t116 @t115)) % 38.63/38.85 (assume @p36 (not @t117)) % 38.63/38.85 (assume @p37 (= tptp.xp @t118)) % 38.63/38.85 (assume @p38 (= tptp.xq @t119)) % 38.63/38.85 (assume @p39 @t121) % 38.63/38.85 (assume @p40 true) % 38.63/38.85 (step @p41 :rule aci_norm :args ((= (or @t124 @t15) (or @t123 @t122 @t15)))) % 38.63/38.85 (step @p42 :rule refl :args (@t15)) % 38.63/38.85 (step @p43 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 38.63/38.85 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t125 @t15))) % 38.63/38.85 (step @p45 :rule trans :premises (@p44 @p41)) % 38.63/38.85 (step @p46 :rule bool-impl-elim :args (@t10 @t15)) % 38.63/38.85 (step @p47 :rule trans :premises (@p46 @p45)) % 38.63/38.85 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 38.63/38.85 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 38.63/38.85 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.sz00 tptp.sz10))) % 38.63/38.85 (step @p51 :rule and_elim :premises (@p3) :args (0)) % 38.63/38.85 (step @p52 :rule cnf_or_pos :args (@t131)) % 38.63/38.85 (step @p53 :rule reordering :premises (@p52) :args ((or @t130 @t129 @t128 (not @t131)))) % 38.63/38.85 (step @p54 :rule chain_m_resolution :premises (@p53 @p2 @p51 @p50) :args (@t128 @t132 (@list @t4 @t5 @t131))) % 38.63/38.85 (step @p55 :rule bool-impl-elim :args (@t2 @t133)) % 38.63/38.85 (step @p56 :rule cong :premises (@p55) :args ((forall @t3 (=> @t2 @t133)))) % 38.63/38.85 (step @p57 :rule refl :args (@t24)) % 38.63/38.85 (step @p58 :rule eq-symm :args (@t25 @t1)) % 38.63/38.85 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t26)) % 38.63/38.85 (step @p60 :rule refl :args (@t2)) % 38.63/38.85 (step @p61 :rule cong :premises (@p60 @p59) :args (@t27)) % 38.63/38.85 (step @p62 :rule cong :premises (@p61) :args (@t28)) % 38.63/38.85 (step @p63 :rule trans :premises (@p62 @p56)) % 38.63/38.85 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 38.63/38.85 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.sz10))) % 38.63/38.85 (step @p66 :rule cnf_or_pos :args (@t136)) % 38.63/38.85 (step @p67 :rule reordering :premises (@p66) :args ((or @t129 @t135 (not @t136)))) % 38.63/38.85 (step @p68 :rule chain_m_resolution :premises (@p67 @p51 @p65) :args (@t135 @t137 (@list @t5 @t136))) % 38.63/38.85 (step @p69 :rule cnf_and_pos :args (@t135 0)) % 38.63/38.85 (step @p70 :rule reordering :premises (@p69) :args ((or @t134 (not @t135)))) % 38.63/38.85 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t134 @t138 (@list @t135))) % 38.63/38.85 (step @p72 :rule aci_norm :args ((= (or @t142 (or @t139 @t32)) @t141))) % 38.63/38.85 (step @p73 :rule refl :args (@t32)) % 38.63/38.85 (step @p74 :rule bool-or-de-morgan :args (@t36 @t34 false)) % 38.63/38.85 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t37) @t32))) % 38.63/38.85 (step @p76 :rule bool-impl-elim :args (@t37 @t32)) % 38.63/38.85 (step @p77 :rule trans :premises (@p76 @p75)) % 38.63/38.85 (step @p78 :rule aci_norm :args ((= (or @t123 @t143) @t142))) % 38.63/38.85 (step @p79 :rule bool-and-de-morgan :args (@t9 @t20 true)) % 38.63/38.85 (step @p80 :rule refl :args (@t123)) % 38.63/38.85 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t123 @t144))) % 38.63/38.85 (step @p82 :rule bool-and-de-morgan :args (@t2 @t9 (and @t20))) % 38.63/38.85 (step @p83 :rule trans :premises (@p82 @p81)) % 38.63/38.85 (step @p84 :rule trans :premises (@p83 @p78)) % 38.63/38.85 (step @p85 :rule nary_cong :premises (@p84 @p77) :args ((or @t145 @t38))) % 38.63/38.85 (step @p86 :rule trans :premises (@p85 @p72)) % 38.63/38.85 (step @p87 :rule bool-impl-elim :args (@t21 @t38)) % 38.63/38.85 (step @p88 :rule trans :premises (@p87 @p86)) % 38.63/38.85 (step @p89 :rule cong :premises (@p88) :args (@t39)) % 38.63/38.85 (step @p90 :rule eq_resolve 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:premises (@p721) :args ((@list tptp.xn tptp.sz00))) % 38.63/38.85 (step @p723 :rule cnf_or_pos :args (@t392)) % 38.63/38.85 (step @p724 :rule reordering :premises (@p723) :args ((or @t130 @t196 @t391 (not @t392)))) % 38.63/38.85 (step @p725 :rule chain_m_resolution :premises (@p724 @p2 @p180 @p722) :args (@t391 @t132 (@list @t4 @t111 @t392))) % 38.63/38.85 (step @p726 :rule cnf_equiv_pos1 :args (@t391)) % 38.63/38.85 (step @p727 :rule reordering :premises (@p726) :args ((or (not @t381) @t390 (not @t391)))) % 38.63/38.85 (step @p728 :rule refl :args (@t398)) % 38.63/38.85 (step @p729 :rule bool-double-not-elim :args (@t377)) % 38.63/38.85 (step @p730 :rule nary_cong :premises (@p729 @p728) :args ((or (not @t390) @t398))) % 38.63/38.85 (assume-push @p874 @t390) % 38.63/38.85 (step @p732 :rule skolemize :premises (@p874)) % 38.63/38.85 (step-pop @p875 :rule scope :premises (@p732)) % 38.63/38.85 (step @p733 :rule process_scope :premises (@p875) :args (@t398)) % 38.63/38.85 (step @p735 :rule implies_elim :premises (@p733)) % 38.63/38.85 (step @p736 :rule eq_resolve :premises (@p735 @p730)) % 38.63/38.85 (step @p737 :rule bool-double-not-elim :args (@t395)) % 38.63/38.85 (step @p738 :rule refl :args (@t397)) % 38.63/38.85 (step @p739 :rule nary_cong :premises (@p738 @p737) :args ((or @t397 (not @t396)))) % 38.63/38.85 (step @p740 :rule cnf_or_neg :args (@t397 0)) % 38.63/38.85 (step @p741 :rule eq_resolve :premises (@p740 @p739)) % 38.63/38.85 (step @p742 :rule reordering :premises (@p741) :args ((or @t395 @t397))) % 38.63/38.85 (step @p743 :rule bool-double-not-elim :args (@t393)) % 38.63/38.85 (step @p744 :rule nary_cong :premises (@p738 @p743) :args ((or @t397 (not @t394)))) % 38.63/38.85 (step @p745 :rule cnf_or_neg :args (@t397 1)) % 38.63/38.85 (step @p746 :rule eq_resolve :premises (@p745 @p744)) % 38.63/38.85 (step @p747 :rule reordering :premises (@p746) :args ((or @t393 @t397))) % 38.63/38.85 (step @p748 :rule aci_norm :args ((= (or @t124 (or @t401 @t399)) @t402))) % 38.63/38.85 (step @p749 :rule bool-impl-elim :args (@t400 @t399)) % 38.63/38.85 (step @p750 :rule nary_cong :premises (@p43 @p749) :args ((or @t125 @t403))) % 38.63/38.85 (step @p751 :rule trans :premises (@p750 @p748)) % 38.63/38.85 (step @p752 :rule bool-impl-elim :args (@t10 @t403)) % 38.63/38.85 (step @p753 :rule trans :premises (@p752 @p751)) % 38.63/38.85 (step @p754 :rule cong :premises (@p753) :args ((forall @t11 (=> @t10 @t403)))) % 38.63/38.85 (step @p755 :rule eq-symm :args (@t6 tptp.sz00)) % 38.63/38.85 (step @p756 :rule nary_cong :premises (@p114 @p755) :args (@t53)) % 38.63/38.85 (step @p757 :rule eq-symm :args (@t7 tptp.sz00)) % 38.63/38.85 (step @p758 :rule cong :premises (@p757 @p756) :args (@t54)) % 38.63/38.85 (step @p759 :rule cong :premises (@p152 @p758) :args (@t55)) % 38.63/38.85 (step @p760 :rule cong :premises (@p759) :args (@t56)) % 38.63/38.85 (step @p761 :rule trans :premises (@p760 @p754)) % 38.63/38.85 (step @p762 :rule eq_resolve :premises (@p16 @p761)) % 38.63/38.85 (step @p763 :rule refl :args (@t379)) % 38.63/38.85 (step @p764 :rule eq-symm :args (tptp.xn tptp.sz00)) % 38.63/38.85 (step @p765 :rule nary_cong :premises (@p764 @p763) :args (@t404)) % 38.63/38.85 (step @p766 :rule refl :args (@t394)) % 38.63/38.85 (step @p767 :rule refl :args (@t396)) % 38.63/38.85 (step @p768 :rule nary_cong :premises (@p464 @p767 @p766 @p765) :args (@t405)) % 38.63/38.85 (step @p769 :rule refl :args (@t406)) % 38.63/38.85 (step @p770 :rule cong :premises (@p769 @p768) :args ((=> @t406 @t405))) % 38.63/38.85 (assume-push @p876 @t406) % 38.63/38.85 (step @p772 :rule instantiate :premises (@p762) :args ((@list tptp.xn @t378))) % 38.63/38.85 (step-pop @p877 :rule scope :premises (@p772)) % 38.63/38.85 (step @p773 :rule process_scope :premises (@p877) :args (@t405)) % 38.63/38.85 (step @p775 :rule eq_resolve :premises (@p773 @p770)) % 38.63/38.85 (step @p776 :rule implies_elim :premises (@p775)) % 38.63/38.85 (step @p777 :rule chain_m_resolution :premises (@p776 @p762) :args (@t407 @t138 (@list @t406))) % 38.63/38.85 (step @p778 :rule cnf_or_pos :args (@t407)) % 38.63/38.85 (step @p779 :rule reordering :premises (@p778) :args ((or @t196 @t396 @t394 @t380 (not @t407)))) % 38.63/38.85 (step @p780 :rule chain_m_resolution :premises (@p779 @p777 @p180 @p747 @p742 @p736 @p727 @p725 @p700 @p698 @p696 @p180 @p2 @p695 @p693 @p691 @p625 @p180 @p181 @p2) :args (@t373 (@list false false false false true true false false false false false false true true false true false false false) (@list @t407 @t111 @t393 @t395 @t397 @t377 @t391 @t381 @t383 @t384 @t111 @t4 @t380 @t371 @t376 @t346 @t111 @t112 @t4))) % 38.63/38.85 (assume-push @p878 @t373) % 38.63/38.85 (assume-push @p879 @t128) % 38.63/38.85 (assume-push @p880 @t134) % 38.63/38.85 (assume-push @p881 @t286) % 38.63/38.85 (assume-push @p882 @t296) % 38.63/38.85 (assume-push @p883 @t292) % 38.63/38.85 (assume-push @p884 @t134) % 38.63/38.85 (assume-push @p885 @t128) % 38.63/38.85 (assume-push @p886 @t286) % 38.63/38.85 (assume-push @p887 @t296) % 38.63/38.85 (assume-push @p888 @t373) % 38.63/38.85 (assume-push @p889 @t292) % 38.63/38.85 (step @p793 :rule refl :args (tptp.xm)) % 38.63/38.85 (step @p794 :rule symm :premises (@p71)) % 38.63/38.85 (step @p795 :rule trans :premises (@p54 @p794)) % 38.63/38.85 (step @p796 :rule cong :premises (@p795 @p793) :args (@t285)) % 38.63/38.85 (step @p797 :rule symm :premises (@p462)) % 38.63/38.85 (step @p798 :rule symm :premises (@p485)) % 38.63/38.85 (step @p799 :rule symm :premises (@p878)) % 38.63/38.85 (step @p800 :rule refl :args (@t150)) % 38.63/38.86 (step @p801 :rule cong :premises (@p800 @p799) :args (@t289)) % 38.63/38.86 (step @p802 :rule trans :premises (@p477 @p801 @p798 @p797 @p796)) % 38.63/38.86 (step-pop @p890 :rule scope :premises (@p802)) % 38.63/38.86 (step-pop @p891 :rule scope :premises (@p890)) % 38.63/38.86 (step-pop @p892 :rule scope :premises (@p891)) % 38.63/38.86 (step-pop @p893 :rule scope :premises (@p892)) % 38.63/38.86 (step-pop @p894 :rule scope :premises (@p893)) % 38.63/38.86 (step-pop @p895 :rule scope :premises (@p894)) % 38.63/38.86 (step @p803 :rule process_scope :premises (@p895) :args (@t159)) % 38.63/38.86 (step @p810 :rule and_intro :premises (@p71 @p54 @p462 @p485 @p878 @p477)) % 38.63/38.86 (step @p811 :rule modus_ponens :premises (@p810 @p803)) % 38.63/38.86 (step-pop @p896 :rule scope :premises (@p811)) % 38.63/38.86 (step-pop @p897 :rule scope :premises (@p896)) % 38.63/38.86 (step-pop @p898 :rule scope :premises (@p897)) % 38.63/38.86 (step-pop @p899 :rule scope :premises (@p898)) % 38.63/38.86 (step-pop @p900 :rule scope :premises (@p899)) % 38.63/38.86 (step-pop @p901 :rule scope :premises (@p900)) % 38.63/38.86 (step @p812 :rule process_scope :premises (@p901) :args (@t159)) % 38.63/38.86 (step @p819 :rule implies_elim :premises (@p812)) % 38.63/38.86 (step @p820 :rule cnf_and_neg :args (@t408)) % 38.63/38.86 (step @p821 :rule resolution :premises (@p820 @p819) :args (true @t408)) % 38.63/38.86 (step @p822 :rule reordering :premises (@p821) :args ((or @t382 (not @t128) (not @t134) @t159 (not @t286) (not @t296) (not @t292)))) % 38.63/38.86 (step @p823 false :rule chain_m_resolution :premises (@p822 @p780 @p485 @p477 @p462 @p450 @p71 @p54) :args (false (@list false false false false true false false) (@list @t373 @t296 @t292 @t286 @t159 @t134 @t128))) % 38.63/38.86 ) % 38.63/38.86 % SZS output end Proof % 38.63/38.86 % cvc5 exiting %------------------------------------------------------------------------------