%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM526+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 : n002.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 08:39:43 AM UTC 2026 % Result : Theorem 235.43s 235.64s % Output : Proof 235.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM526+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 11:27:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 235.43/235.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 235.43/235.64 --- Run --no-e-matching --full-saturate-quant at 6... % 235.43/235.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 235.43/235.64 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 235.43/235.64 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 235.43/235.64 --- Run --trigger-sel=max --full-saturate-quant at 15... % 235.43/235.64 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 235.43/235.64 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 235.43/235.64 --- Run --prenex-quant=none --full-saturate-quant at 30... % 235.43/235.64 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 235.43/235.64 --- Run --relevant-triggers --full-saturate-quant at 30... % 235.43/235.64 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 235.43/235.64 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 235.43/235.64 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 235.43/235.64 % SZS status Theorem % 235.43/235.64 % SZS output start Proof % 235.43/235.64 ( % 235.43/235.64 (declare-sort $$unsorted 0) % 235.43/235.64 (declare-const tptp.xq $$unsorted) % 235.43/235.64 (declare-const tptp.xp $$unsorted) % 235.43/235.64 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 235.43/235.64 (declare-const tptp.sz10 $$unsorted) % 235.43/235.64 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 235.43/235.64 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 235.43/235.64 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 235.43/235.64 (declare-const tptp.sz00 $$unsorted) % 235.43/235.64 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 235.43/235.64 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 235.43/235.64 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 235.43/235.64 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 235.43/235.64 (declare-const tptp.xn $$unsorted) % 235.43/235.64 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 235.43/235.64 (declare-const tptp.xm $$unsorted) % 235.43/235.64 (define @t1 () (@var "W0" $$unsorted)) % 235.43/235.64 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 235.43/235.64 (define @t3 () (@list @t1)) % 235.43/235.64 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 235.43/235.64 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 235.43/235.64 (define @t6 () (@var "W1" $$unsorted)) % 235.43/235.64 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 235.43/235.64 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 235.43/235.64 (define @t9 () (and @t2 @t8)) % 235.43/235.64 (define @t10 () (@list @t1 @t6)) % 235.43/235.64 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 235.43/235.64 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 235.43/235.64 (define @t13 () (forall @t10 (=> @t9 @t12))) % 235.43/235.64 (define @t14 () (tptp.sdtpldt0 @t6 @t1)) % 235.43/235.64 (define @t15 () (@var "W2" $$unsorted)) % 235.43/235.64 (define @t16 () (tptp.sdtpldt0 @t6 @t15)) % 235.43/235.64 (define @t17 () (tptp.aNaturalNumber0 @t15)) % 235.43/235.64 (define @t18 () (and @t2 @t8 @t17)) % 235.43/235.64 (define @t19 () (@list @t1 @t6 @t15)) % 235.43/235.64 (define @t20 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 235.43/235.64 (define @t21 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 235.43/235.64 (define @t22 () (and (= @t21 @t1) @t20)) % 235.43/235.64 (define @t23 () (=> @t2 @t22)) % 235.43/235.64 (define @t24 () (forall @t3 @t23)) % 235.43/235.64 (define @t25 () (tptp.sdtasdt0 @t6 @t1)) % 235.43/235.64 (define @t26 () (= @t11 @t25)) % 235.43/235.64 (define @t27 () (forall @t10 (=> @t9 @t26))) % 235.43/235.64 (define @t28 () (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t15)))) % 235.43/235.64 (define @t29 () (forall @t19 (=> @t18 @t28))) % 235.43/235.64 (define @t30 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 235.43/235.64 (define @t31 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 235.43/235.64 (define @t32 () (and (= @t31 @t1) @t30)) % 235.43/235.64 (define @t33 () (=> @t2 @t32)) % 235.43/235.64 (define @t34 () (forall @t3 @t33)) % 235.43/235.64 (define @t35 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 235.43/235.64 (define @t36 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 235.43/235.64 (define @t37 () (and (= @t36 tptp.sz00) @t35)) % 235.43/235.64 (define @t38 () (=> @t2 @t37)) % 235.43/235.64 (define @t39 () (forall @t3 @t38)) % 235.43/235.64 (define @t40 () (tptp.sdtasdt0 @t15 @t1)) % 235.43/235.64 (define @t41 () (tptp.sdtasdt0 @t1 @t15)) % 235.43/235.64 (define @t42 () (= @t6 @t15)) % 235.43/235.64 (define @t43 () (tptp.sdtpldt0 @t15 @t1)) % 235.43/235.64 (define @t44 () (tptp.sdtpldt0 @t1 @t15)) % 235.43/235.64 (define @t45 () (= @t25 @t40)) % 235.43/235.64 (define @t46 () (= @t11 @t41)) % 235.43/235.64 (define @t47 () (or @t46 @t45)) % 235.43/235.64 (define @t48 () (=> @t47 @t42)) % 235.43/235.64 (define @t49 () (and @t8 @t17)) % 235.43/235.64 (define @t50 () (@list @t6 @t15)) % 235.43/235.64 (define @t51 () (forall @t50 (=> @t49 @t48))) % 235.43/235.64 (define @t52 () (= @t1 tptp.sz00)) % 235.43/235.64 (define @t53 () (not @t52)) % 235.43/235.64 (define @t54 () (=> @t53 @t51)) % 235.43/235.64 (define @t55 () (=> @t2 @t54)) % 235.43/235.64 (define @t56 () (forall @t3 @t55)) % 235.43/235.64 (define @t57 () (= @t6 tptp.sz00)) % 235.43/235.64 (define @t58 () (or @t52 @t57)) % 235.43/235.64 (define @t59 () (=> (= @t11 tptp.sz00) @t58)) % 235.43/235.64 (define @t60 () (=> @t9 @t59)) % 235.43/235.64 (define @t61 () (forall @t10 @t60)) % 235.43/235.64 (define @t62 () (and @t17 (= @t44 @t6))) % 235.43/235.64 (define @t63 () (@list @t15)) % 235.43/235.64 (define @t64 () (tptp.sdtlseqdt0 @t1 @t6)) % 235.43/235.64 (define @t65 () (= @t1 @t6)) % 235.43/235.64 (define @t66 () (tptp.sdtlseqdt0 @t6 @t1)) % 235.43/235.64 (define @t67 () (tptp.sdtlseqdt0 @t6 @t15)) % 235.43/235.64 (define @t68 () (= @t6 @t1)) % 235.43/235.64 (define @t69 () (tptp.sdtpldt0 @t15 @t6)) % 235.43/235.64 (define @t70 () (not @t65)) % 235.43/235.64 (define @t71 () (and @t70 @t64)) % 235.43/235.64 (define @t72 () (not @t45)) % 235.43/235.64 (define @t73 () (not @t46)) % 235.43/235.64 (define @t74 () (= @t1 tptp.sz10)) % 235.43/235.64 (define @t75 () (tptp.sdtlseqdt0 @t6 @t25)) % 235.43/235.64 (define @t76 () (=> @t53 @t75)) % 235.43/235.64 (define @t77 () (forall @t10 (=> @t9 @t76))) % 235.43/235.64 (define @t78 () (tptp.iLess0 @t1 @t6)) % 235.43/235.64 (define @t79 () (=> @t71 @t78)) % 235.43/235.64 (define @t80 () (forall @t10 (=> @t9 @t79))) % 235.43/235.64 (define @t81 () (= @t6 @t41)) % 235.43/235.64 (define @t82 () (and @t17 @t81)) % 235.43/235.64 (define @t83 () (exists @t63 @t82)) % 235.43/235.64 (define @t84 () (tptp.doDivides0 @t1 @t6)) % 235.43/235.64 (define @t85 () (= @t84 @t83)) % 235.43/235.64 (define @t86 () (=> @t9 @t85)) % 235.43/235.64 (define @t87 () (forall @t10 @t86)) % 235.43/235.64 (define @t88 () (tptp.sdtsldt0 @t6 @t1)) % 235.43/235.64 (define @t89 () (= @t15 @t88)) % 235.43/235.64 (define @t90 () (forall @t63 (= @t89 @t82))) % 235.43/235.64 (define @t91 () (and @t53 @t84)) % 235.43/235.64 (define @t92 () (=> @t91 @t90)) % 235.43/235.64 (define @t93 () (=> @t9 @t92)) % 235.43/235.64 (define @t94 () (forall @t10 @t93)) % 235.43/235.64 (define @t95 () (tptp.doDivides0 @t1 @t15)) % 235.43/235.64 (define @t96 () (tptp.doDivides0 @t1 @t16)) % 235.43/235.64 (define @t97 () (not @t57)) % 235.43/235.64 (define @t98 () (= (tptp.sdtasdt0 @t15 @t88) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t6) @t1))) % 235.43/235.64 (define @t99 () (forall @t63 (=> @t17 @t98))) % 235.43/235.64 (define @t100 () (=> @t91 @t99)) % 235.43/235.64 (define @t101 () (=> @t9 @t100)) % 235.43/235.64 (define @t102 () (forall @t10 @t101)) % 235.43/235.64 (define @t103 () (or (= @t6 tptp.sz10) @t68)) % 235.43/235.64 (define @t104 () (tptp.doDivides0 @t6 @t1)) % 235.43/235.64 (define @t105 () (and @t8 @t104)) % 235.43/235.64 (define @t106 () (=> @t105 @t103)) % 235.43/235.64 (define @t107 () (@list @t6)) % 235.43/235.64 (define @t108 () (forall @t107 @t106)) % 235.43/235.64 (define @t109 () (not @t74)) % 235.43/235.64 (define @t110 () (and @t53 @t109 @t108)) % 235.43/235.64 (define @t111 () (tptp.isPrime0 @t1)) % 235.43/235.64 (define @t112 () (= @t111 @t110)) % 235.43/235.64 (define @t113 () (=> @t2 @t112)) % 235.43/235.64 (define @t114 () (forall @t3 @t113)) % 235.43/235.64 (define @t115 () (tptp.doDivides0 @t15 @t6)) % 235.43/235.64 (define @t116 () (tptp.doDivides0 @t15 @t1)) % 235.43/235.64 (define @t117 () (or @t116 @t115)) % 235.43/235.64 (define @t118 () (tptp.doDivides0 @t15 @t11)) % 235.43/235.64 (define @t119 () (tptp.isPrime0 @t15)) % 235.43/235.64 (define @t120 () (and @t119 @t118)) % 235.43/235.64 (define @t121 () (=> @t120 @t117)) % 235.43/235.64 (define @t122 () (forall @t19 (=> @t18 @t121))) % 235.43/235.64 (define @t123 () (= tptp.xp tptp.sz00)) % 235.43/235.64 (define @t124 () (not @t123)) % 235.43/235.64 (define @t125 () (= tptp.xm tptp.sz00)) % 235.43/235.64 (define @t126 () (= tptp.xn tptp.sz00)) % 235.43/235.64 (define @t127 () (tptp.aNaturalNumber0 tptp.xp)) % 235.43/235.64 (define @t128 () (tptp.aNaturalNumber0 tptp.xm)) % 235.43/235.64 (define @t129 () (tptp.aNaturalNumber0 tptp.xn)) % 235.43/235.64 (define @t130 () (not @t119)) % 235.43/235.64 (define @t131 () (tptp.iLess0 @t1 tptp.xn)) % 235.43/235.64 (define @t132 () (=> @t131 @t130)) % 235.43/235.64 (define @t133 () (= (tptp.sdtasdt0 @t15 (tptp.sdtasdt0 @t6 @t6)) (tptp.sdtasdt0 @t1 @t1))) % 235.43/235.64 (define @t134 () (=> @t133 @t132)) % 235.43/235.64 (define @t135 () (not (= @t15 tptp.sz00))) % 235.43/235.64 (define @t136 () (and @t2 @t8 @t17 @t53 @t97 @t135)) % 235.43/235.64 (define @t137 () (=> @t136 @t134)) % 235.43/235.64 (define @t138 () (forall @t19 @t137)) % 235.43/235.64 (define @t139 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 235.43/235.64 (define @t140 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 235.43/235.64 (define @t141 () (tptp.sdtasdt0 tptp.xp @t140)) % 235.43/235.64 (define @t142 () (= @t141 @t139)) % 235.43/235.64 (define @t143 () (tptp.isPrime0 tptp.xp)) % 235.43/235.64 (define @t144 () (tptp.doDivides0 tptp.xp tptp.xn)) % 235.43/235.64 (define @t145 () (tptp.sdtsldt0 tptp.xn tptp.xp)) % 235.43/235.64 (define @t146 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 235.43/235.64 (define @t147 () (tptp.sdtasdt0 tptp.xp @t146)) % 235.43/235.64 (define @t148 () (= @t140 @t147)) % 235.43/235.64 (define @t149 () (and (= @t1 @t21) @t20)) % 235.43/235.64 (define @t150 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 235.43/235.64 (define @t151 () (and @t150 @t150)) % 235.43/235.64 (define @t152 () (not @t4)) % 235.43/235.64 (define @t153 () (or @t152 @t151)) % 235.43/235.64 (define @t154 () (not @t2)) % 235.43/235.64 (define @t155 () (forall @t3 (or @t154 @t149))) % 235.43/235.64 (define @t156 () (or @t152 @t150)) % 235.43/235.64 (define @t157 () (@list false)) % 235.43/235.64 (define @t158 () (@list false false)) % 235.43/235.64 (define @t159 () (= tptp.sz00 @t6)) % 235.43/235.64 (define @t160 () (= tptp.sz00 @t11)) % 235.43/235.64 (define @t161 () (not @t160)) % 235.43/235.64 (define @t162 () (not @t8)) % 235.43/235.64 (define @t163 () (or @t154 @t162 @t161 @t52 @t159)) % 235.43/235.64 (define @t164 () (or @t161 @t52 @t159)) % 235.43/235.64 (define @t165 () (or @t154 @t162)) % 235.43/235.64 (define @t166 () (or @t52 @t159)) % 235.43/235.64 (define @t167 () (=> @t160 @t166)) % 235.43/235.64 (define @t168 () (not @t9)) % 235.43/235.64 (define @t169 () (= tptp.sz00 tptp.xn)) % 235.43/235.64 (define @t170 () (= tptp.sz00 @t139)) % 235.43/235.64 (define @t171 () (not @t170)) % 235.43/235.64 (define @t172 () (not @t129)) % 235.43/235.64 (define @t173 () (or @t172 @t172 @t171 @t126 @t169)) % 235.43/235.64 (define @t174 () (forall @t10 @t163)) % 235.43/235.64 (define @t175 () (or @t172 @t172 @t171 @t169 @t169)) % 235.43/235.64 (define @t176 () (and (= tptp.sz00 @t36) @t35)) % 235.43/235.64 (define @t177 () (@list tptp.xn)) % 235.43/235.64 (define @t178 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xn tptp.sz00))) % 235.43/235.64 (define @t179 () (and @t178 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 235.43/235.64 (define @t180 () (or @t172 @t179)) % 235.43/235.64 (define @t181 () (@list tptp.xp)) % 235.43/235.64 (define @t182 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 235.43/235.64 (define @t183 () (= tptp.sz00 @t182)) % 235.43/235.64 (define @t184 () (and @t183 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 235.43/235.64 (define @t185 () (not @t127)) % 235.43/235.64 (define @t186 () (or @t185 @t184)) % 235.43/235.64 (define @t187 () (@var "BOUND_VARIABLE_8012" $$unsorted)) % 235.43/235.64 (define @t188 () (and (tptp.aNaturalNumber0 @t187) (= @t6 (tptp.sdtasdt0 @t1 @t187)))) % 235.43/235.64 (define @t189 () (= @t188 (= @t187 @t88))) % 235.43/235.64 (define @t190 () (not @t84)) % 235.43/235.64 (define @t191 () (or @t154 @t162 @t52 @t190 @t189)) % 235.43/235.64 (define @t192 () (@list @t1 @t6 @t187)) % 235.43/235.64 (define @t193 () (forall @t192 @t191)) % 235.43/235.64 (define @t194 () (@list @t187)) % 235.43/235.64 (define @t195 () (forall @t194 @t191)) % 235.43/235.64 (define @t196 () (forall @t194 @t189)) % 235.43/235.64 (define @t197 () (@list @t15)) % 235.43/235.64 (define @t198 () (or @t154 @t162 @t52 @t190 @t196)) % 235.43/235.64 (define @t199 () (forall @t63 (= @t82 @t89))) % 235.43/235.64 (define @t200 () (or @t154 @t162 @t52 @t190 @t199)) % 235.43/235.64 (define @t201 () (or @t52 @t190 @t199)) % 235.43/235.64 (define @t202 () (or @t52 @t190)) % 235.43/235.64 (define @t203 () (not @t53)) % 235.43/235.64 (define @t204 () (not @t91)) % 235.43/235.64 (define @t205 () (=> @t91 @t199)) % 235.43/235.64 (define @t206 () (tptp.sdtasdt0 tptp.xp @t145)) % 235.43/235.64 (define @t207 () (= tptp.xn @t206)) % 235.43/235.64 (define @t208 () (tptp.aNaturalNumber0 @t145)) % 235.43/235.64 (define @t209 () (and @t208 @t207)) % 235.43/235.64 (define @t210 () (= @t145 @t145)) % 235.43/235.64 (define @t211 () (not @t144)) % 235.43/235.64 (define @t212 () (or @t185 @t172 @t123 @t211 (= @t209 @t210))) % 235.43/235.64 (define @t213 () (forall @t192 (or @t154 @t162 @t52 @t190 (= @t188 (= @t88 @t187))))) % 235.43/235.64 (define @t214 () (@list tptp.xp tptp.xn @t145)) % 235.43/235.64 (define @t215 () (= tptp.sz00 tptp.xp)) % 235.43/235.64 (define @t216 () (or @t185 @t172 @t215 @t211 @t209)) % 235.43/235.64 (define @t217 () (@list @t213)) % 235.43/235.64 (define @t218 () (@list true false false false false)) % 235.43/235.64 (define @t219 () (not @t209)) % 235.43/235.64 (define @t220 () (@list @t209)) % 235.43/235.64 (define @t221 () (or @t154 @t162 @t26)) % 235.43/235.64 (define @t222 () (@list tptp.xp tptp.xn)) % 235.43/235.64 (define @t223 () (tptp.sdtasdt0 tptp.xn tptp.xp)) % 235.43/235.64 (define @t224 () (tptp.sdtasdt0 tptp.xp tptp.xn)) % 235.43/235.64 (define @t225 () (= @t224 @t223)) % 235.43/235.64 (define @t226 () (or @t185 @t172 @t225)) % 235.43/235.64 (define @t227 () (@list false false false)) % 235.43/235.64 (define @t228 () (not @t17)) % 235.43/235.64 (define @t229 () (or @t154 @t162 @t228 @t28)) % 235.43/235.64 (define @t230 () (or @t154 @t162 @t228)) % 235.43/235.64 (define @t231 () (or @t162 @t228)) % 235.43/235.64 (define @t232 () (not @t49)) % 235.43/235.64 (define @t233 () (not @t18)) % 235.43/235.64 (define @t234 () (tptp.sdtasdt0 @t223 @t145)) % 235.43/235.64 (define @t235 () (= @t234 (tptp.sdtasdt0 tptp.xn @t206))) % 235.43/235.64 (define @t236 () (not @t208)) % 235.43/235.64 (define @t237 () (or @t172 @t185 @t236 @t235)) % 235.43/235.64 (define @t238 () (@list false false false false)) % 235.43/235.64 (define @t239 () (tptp.sdtasdt0 tptp.xp @t206)) % 235.43/235.64 (define @t240 () (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xp tptp.xp) @t145)) % 235.43/235.64 (define @t241 () (= @t240 @t239)) % 235.43/235.64 (define @t242 () (or @t185 @t185 @t236 @t241)) % 235.43/235.64 (define @t243 () (tptp.sdtasdt0 tptp.xn @t182)) % 235.43/235.64 (define @t244 () (= (tptp.sdtasdt0 @t223 tptp.sz00) @t243)) % 235.43/235.64 (define @t245 () (or @t172 @t185 @t152 @t244)) % 235.43/235.64 (define @t246 () (not @t131)) % 235.43/235.64 (define @t247 () (not @t133)) % 235.43/235.64 (define @t248 () (= tptp.sz00 @t15)) % 235.43/235.64 (define @t249 () (or @t154 @t162 @t228 @t52 @t159 @t248 @t247 @t246 @t130)) % 235.43/235.64 (define @t250 () (or @t247 @t246 @t130)) % 235.43/235.64 (define @t251 () (not @t248)) % 235.43/235.64 (define @t252 () (not @t251)) % 235.43/235.64 (define @t253 () (not @t159)) % 235.43/235.64 (define @t254 () (not @t253)) % 235.43/235.64 (define @t255 () (or @t154 @t162 @t228 @t203 @t254 @t252)) % 235.43/235.64 (define @t256 () (and @t2 @t8 @t17 @t53 @t253 @t251)) % 235.43/235.64 (define @t257 () (not @t143)) % 235.43/235.64 (define @t258 () (tptp.iLess0 @t145 tptp.xn)) % 235.43/235.64 (define @t259 () (not @t258)) % 235.43/235.64 (define @t260 () (tptp.sdtsldt0 tptp.xm tptp.xp)) % 235.43/235.64 (define @t261 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 @t260 @t260))) % 235.43/235.64 (define @t262 () (tptp.sdtasdt0 @t145 @t145)) % 235.43/235.64 (define @t263 () (not (= @t261 @t262))) % 235.43/235.64 (define @t264 () (= tptp.sz00 @t260)) % 235.43/235.64 (define @t265 () (tptp.aNaturalNumber0 @t260)) % 235.43/235.64 (define @t266 () (not @t265)) % 235.43/235.64 (define @t267 () (or @t236 @t266 @t185 (= @t145 tptp.sz00) @t264 @t215 @t263 @t259 @t257)) % 235.43/235.64 (define @t268 () (forall @t19 @t249)) % 235.43/235.64 (define @t269 () (= @t262 @t261)) % 235.43/235.64 (define @t270 () (not @t269)) % 235.43/235.64 (define @t271 () (= tptp.sz00 @t145)) % 235.43/235.64 (define @t272 () (or @t236 @t266 @t185 @t271 @t264 @t215 @t270 @t259 @t257)) % 235.43/235.64 (define @t273 () (tptp.sdtasdt0 tptp.xp @t260)) % 235.43/235.64 (define @t274 () (= tptp.xm @t273)) % 235.43/235.64 (define @t275 () (and @t265 @t274)) % 235.43/235.64 (define @t276 () (= @t260 @t260)) % 235.43/235.64 (define @t277 () (tptp.doDivides0 tptp.xp tptp.xm)) % 235.43/235.64 (define @t278 () (not @t277)) % 235.43/235.64 (define @t279 () (not @t128)) % 235.43/235.64 (define @t280 () (or @t185 @t279 @t123 @t278 (= @t275 @t276))) % 235.43/235.64 (define @t281 () (or @t185 @t279 @t215 @t278 @t275)) % 235.43/235.64 (define @t282 () (not @t118)) % 235.43/235.64 (define @t283 () (or @t130 @t282 @t116 @t115)) % 235.43/235.64 (define @t284 () (= @t84 (not (forall @t63 (or @t228 (not @t81)))))) % 235.43/235.64 (define @t285 () (forall @t63 (not @t82))) % 235.43/235.64 (define @t286 () (not @t285)) % 235.43/235.64 (define @t287 () (tptp.sdtasdt0 tptp.xp @t262)) % 235.43/235.64 (define @t288 () (tptp.aNaturalNumber0 @t262)) % 235.43/235.64 (define @t289 () (or @t236 @t236 @t288)) % 235.43/235.64 (define @t290 () (tptp.aNaturalNumber0 @t287)) % 235.43/235.64 (define @t291 () (not @t288)) % 235.43/235.64 (define @t292 () (or @t185 @t291 @t290)) % 235.43/235.64 (define @t293 () (tptp.sdtasdt0 tptp.xp @t15)) % 235.43/235.64 (define @t294 () (forall @t63 (or @t228 (not (= @t287 @t293))))) % 235.43/235.64 (define @t295 () (not @t294)) % 235.43/235.64 (define @t296 () (tptp.doDivides0 tptp.xp @t287)) % 235.43/235.64 (define @t297 () (= @t296 @t295)) % 235.43/235.64 (define @t298 () (not @t290)) % 235.43/235.64 (define @t299 () (or @t185 @t298 @t297)) % 235.43/235.64 (define @t300 () (not (= @t287 @t287))) % 235.43/235.64 (define @t301 () (or @t291 @t300)) % 235.43/235.64 (define @t302 () (not @t297)) % 235.43/235.64 (define @t303 () (@list true false)) % 235.43/235.64 (define @t304 () (= @t140 @t287)) % 235.43/235.64 (define @t305 () (tptp.doDivides0 tptp.xp @t140)) % 235.43/235.64 (define @t306 () (and @t304 @t296)) % 235.43/235.64 (define @t307 () (not @t305)) % 235.43/235.64 (define @t308 () (or @t279 @t279 @t185 @t257 @t307 @t277 @t277)) % 235.43/235.64 (define @t309 () (not @t275)) % 235.43/235.64 (define @t310 () (@list @t275)) % 235.43/235.64 (define @t311 () (= (tptp.sdtasdt0 @t273 @t260) @t261)) % 235.43/235.64 (define @t312 () (or @t185 @t266 @t266 @t311)) % 235.43/235.64 (define @t313 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 235.43/235.64 (define @t314 () (= (tptp.sdtasdt0 @t313 @t88) (tptp.sdtsldt0 (tptp.sdtasdt0 @t313 @t6) @t1))) % 235.43/235.64 (define @t315 () (not (tptp.aNaturalNumber0 @t313))) % 235.43/235.64 (define @t316 () (or @t154 @t162 @t52 @t190 @t315 @t314)) % 235.43/235.64 (define @t317 () (or @t315 @t314)) % 235.43/235.64 (define @t318 () (or @t154 @t162 @t52 @t190 @t317)) % 235.43/235.64 (define @t319 () (@list @t1 @t6 @t313)) % 235.43/235.64 (define @t320 () (forall @t319 @t318)) % 235.43/235.64 (define @t321 () (@list @t313)) % 235.43/235.64 (define @t322 () (forall @t321 @t318)) % 235.43/235.64 (define @t323 () (forall @t321 @t317)) % 235.43/235.64 (define @t324 () (or @t154 @t162 @t52 @t190 @t323)) % 235.43/235.64 (define @t325 () (forall @t63 (or @t228 @t98))) % 235.43/235.64 (define @t326 () (or @t154 @t162 @t52 @t190 @t325)) % 235.43/235.64 (define @t327 () (or @t52 @t190 @t325)) % 235.43/235.64 (define @t328 () (=> @t91 @t325)) % 235.43/235.64 (define @t329 () (tptp.sdtasdt0 tptp.xm @t260)) % 235.43/235.64 (define @t330 () (= @t329 (tptp.sdtsldt0 @t140 tptp.xp))) % 235.43/235.64 (define @t331 () (or @t185 @t279 @t123 @t278 @t279 @t330)) % 235.43/235.64 (define @t332 () (forall @t319 @t316)) % 235.43/235.64 (define @t333 () (or @t185 @t279 @t215 @t278 @t279 @t330)) % 235.43/235.64 (define @t334 () (@list @t332)) % 235.43/235.64 (define @t335 () (tptp.sdtasdt0 tptp.xn @t145)) % 235.43/235.64 (define @t336 () (tptp.sdtasdt0 @t145 tptp.xn)) % 235.43/235.64 (define @t337 () (= @t336 @t335)) % 235.43/235.64 (define @t338 () (or @t236 @t172 @t337)) % 235.43/235.64 (define @t339 () (tptp.sdtsldt0 @t336 tptp.xp)) % 235.43/235.64 (define @t340 () (= @t262 @t339)) % 235.43/235.64 (define @t341 () (or @t185 @t172 @t123 @t211 @t236 @t340)) % 235.43/235.64 (define @t342 () (or @t185 @t172 @t215 @t211 @t236 @t340)) % 235.43/235.64 (define @t343 () (tptp.sdtasdt0 @t206 @t145)) % 235.43/235.64 (define @t344 () (or @t185 @t236 @t236 (= @t343 @t287))) % 235.43/235.64 (define @t345 () (forall @t19 @t229)) % 235.43/235.64 (define @t346 () (= @t287 @t343)) % 235.43/235.64 (define @t347 () (or @t185 @t236 @t236 @t346)) % 235.43/235.64 (define @t348 () (and @t304 @t346 @t340 @t207 @t337 @t330 @t274 @t311)) % 235.43/235.64 (define @t349 () (and (= @t1 @t31) @t30)) % 235.43/235.64 (define @t350 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 235.43/235.64 (define @t351 () (= tptp.xp @t350)) % 235.43/235.64 (define @t352 () (and @t351 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 235.43/235.64 (define @t353 () (or @t185 @t352)) % 235.43/235.64 (define @t354 () (tptp.sdtasdt0 @t223 tptp.sz10)) % 235.43/235.64 (define @t355 () (= @t354 (tptp.sdtasdt0 tptp.xn @t350))) % 235.43/235.64 (define @t356 () (not @t5)) % 235.43/235.64 (define @t357 () (or @t172 @t185 @t356 @t355)) % 235.43/235.64 (define @t358 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 235.43/235.64 (define @t359 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 235.43/235.64 (define @t360 () (= @t359 @t358)) % 235.43/235.64 (define @t361 () (and (not (= (tptp.sdtasdt0 @t1 @t359) (tptp.sdtasdt0 @t1 @t358))) (not (= (tptp.sdtasdt0 @t359 @t1) (tptp.sdtasdt0 @t358 @t1))))) % 235.43/235.64 (define @t362 () (not (tptp.aNaturalNumber0 @t358))) % 235.43/235.64 (define @t363 () (not (tptp.aNaturalNumber0 @t359))) % 235.43/235.64 (define @t364 () (or @t154 @t52 @t363 @t362 @t361 @t360)) % 235.43/235.64 (define @t365 () (or @t363 @t362 @t361 @t360)) % 235.43/235.64 (define @t366 () (or @t154 @t52 @t365)) % 235.43/235.64 (define @t367 () (@list @t1 @t359 @t358)) % 235.43/235.64 (define @t368 () (forall @t367 @t366)) % 235.43/235.64 (define @t369 () (@list @t359 @t358)) % 235.43/235.64 (define @t370 () (forall @t369 @t366)) % 235.43/235.64 (define @t371 () (forall @t369 @t365)) % 235.43/235.64 (define @t372 () (or @t154 @t52 @t371)) % 235.43/235.64 (define @t373 () (and @t73 @t72)) % 235.43/235.64 (define @t374 () (or @t162 @t228 @t373 @t42)) % 235.43/235.64 (define @t375 () (forall @t50 @t374)) % 235.43/235.64 (define @t376 () (or @t154 @t52 @t375)) % 235.43/235.64 (define @t377 () (=> @t53 @t375)) % 235.43/235.64 (define @t378 () (tptp.sdtasdt0 tptp.sz00 tptp.xm)) % 235.43/235.64 (define @t379 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 235.43/235.64 (define @t380 () (tptp.sdtasdt0 tptp.xm tptp.sz00)) % 235.43/235.64 (define @t381 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 235.43/235.64 (define @t382 () (= @t381 @t380)) % 235.43/235.64 (define @t383 () (not @t382)) % 235.43/235.64 (define @t384 () (and @t383 (not (= @t379 @t378)))) % 235.43/235.64 (define @t385 () (or @t279 @t125 @t172 @t152 @t384 @t126)) % 235.43/235.64 (define @t386 () (forall @t367 @t364)) % 235.43/235.64 (define @t387 () (= tptp.sz00 tptp.xm)) % 235.43/235.64 (define @t388 () (or @t279 @t387 @t172 @t152 @t384 @t169)) % 235.43/235.64 (define @t389 () (@list @t386)) % 235.43/235.64 (define @t390 () (= tptp.sz00 @t380)) % 235.43/235.64 (define @t391 () (and @t390 (= tptp.sz00 @t378))) % 235.43/235.64 (define @t392 () (or @t279 @t391)) % 235.43/235.64 (define @t393 () (or @t172 @t279 (= @t379 @t381))) % 235.43/235.64 (define @t394 () (forall @t10 @t221)) % 235.43/235.64 (define @t395 () (= @t381 @t379)) % 235.43/235.64 (define @t396 () (or @t172 @t279 @t395)) % 235.43/235.64 (define @t397 () (tptp.sdtasdt0 @t223 @t260)) % 235.43/235.64 (define @t398 () (= @t397 (tptp.sdtasdt0 tptp.xn @t273))) % 235.43/235.64 (define @t399 () (or @t172 @t185 @t266 @t398)) % 235.43/235.64 (define @t400 () (tptp.aNaturalNumber0 @t223)) % 235.43/235.64 (define @t401 () (or @t172 @t185 @t400)) % 235.43/235.64 (define @t402 () (tptp.sdtasdt0 tptp.sz10 @t260)) % 235.43/235.64 (define @t403 () (tptp.sdtasdt0 @t223 @t402)) % 235.43/235.64 (define @t404 () (= (tptp.sdtasdt0 @t354 @t260) @t403)) % 235.43/235.64 (define @t405 () (not @t400)) % 235.43/235.64 (define @t406 () (or @t405 @t356 @t266 @t404)) % 235.43/235.64 (define @t407 () (= @t260 @t402)) % 235.43/235.64 (define @t408 () (and (= @t260 (tptp.sdtasdt0 @t260 tptp.sz10)) @t407)) % 235.43/235.64 (define @t409 () (or @t266 @t408)) % 235.43/235.64 (define @t410 () (and @t351 @t178 @t183 @t355 @t244 @t390 @t398 @t395 @t274 @t404 @t264 @t407)) % 235.43/235.64 (define @t411 () (not @t264)) % 235.43/235.64 (define @t412 () (not @t244)) % 235.43/235.64 (define @t413 () (not @t183)) % 235.43/235.64 (define @t414 () (not @t178)) % 235.43/235.64 (define @t415 () (not @t64)) % 235.43/235.64 (define @t416 () (or @t65 @t415 @t78)) % 235.43/235.64 (define @t417 () (forall @t63 (or @t228 (not (= tptp.xn @t293))))) % 235.43/235.64 (define @t418 () (@quantifiers_skolemize @t417 0)) % 235.43/235.64 (define @t419 () (tptp.sdtasdt0 @t418 tptp.xp)) % 235.43/235.64 (define @t420 () (= @t418 @t419)) % 235.43/235.64 (define @t421 () (= @t419 @t418)) % 235.43/235.64 (define @t422 () (= tptp.xn @t224)) % 235.43/235.64 (define @t423 () (and @t129 @t422)) % 235.43/235.64 (define @t424 () (= @t423 (= @t145 tptp.xn))) % 235.43/235.64 (define @t425 () (or @t185 @t172 @t123 @t211 @t424)) % 235.43/235.64 (define @t426 () (= tptp.xn @t145)) % 235.43/235.64 (define @t427 () (= @t423 @t426)) % 235.43/235.64 (define @t428 () (or @t185 @t172 @t215 @t211 @t427)) % 235.43/235.64 (define @t429 () (= tptp.sz10 tptp.xp)) % 235.43/235.64 (define @t430 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 235.43/235.64 (define @t431 () (not (= @t430 @t224))) % 235.43/235.64 (define @t432 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 235.43/235.64 (define @t433 () (and (not (= @t432 @t223)) @t431)) % 235.43/235.64 (define @t434 () (or @t172 @t126 @t356 @t185 @t433 @t429)) % 235.43/235.64 (define @t435 () (or @t172 @t169 @t356 @t185 @t433 @t429)) % 235.43/235.64 (define @t436 () (= tptp.sz10 @t6)) % 235.43/235.64 (define @t437 () (not @t104)) % 235.43/235.64 (define @t438 () (or @t162 @t437 @t436 @t65)) % 235.43/235.64 (define @t439 () (= @t111 (and @t53 @t109 (forall @t107 @t438)))) % 235.43/235.64 (define @t440 () (or @t436 @t65)) % 235.43/235.64 (define @t441 () (not (tptp.doDivides0 @t6 tptp.xp))) % 235.43/235.64 (define @t442 () (or @t162 @t441 @t436 (= tptp.xp @t6))) % 235.43/235.64 (define @t443 () (forall @t107 @t442)) % 235.43/235.64 (define @t444 () (not (= tptp.xp tptp.sz10))) % 235.43/235.64 (define @t445 () (and @t124 @t444 @t443)) % 235.43/235.64 (define @t446 () (= @t143 @t445)) % 235.43/235.64 (define @t447 () (or @t185 @t446)) % 235.43/235.64 (define @t448 () (forall @t3 (or @t154 @t439))) % 235.43/235.64 (define @t449 () (not @t429)) % 235.43/235.64 (define @t450 () (and (not @t215) @t449 (forall @t107 (or @t162 @t441 @t436 (= @t6 tptp.xp))))) % 235.43/235.64 (define @t451 () (= @t143 @t450)) % 235.43/235.64 (define @t452 () (or @t185 @t451)) % 235.43/235.64 (define @t453 () (= tptp.xn @t430)) % 235.43/235.64 (define @t454 () (and (= tptp.xn @t432) @t453)) % 235.43/235.64 (define @t455 () (or @t172 @t454)) % 235.43/235.64 (define @t456 () (not @t423)) % 235.43/235.64 (define @t457 () (@list true)) % 235.43/235.64 (define @t458 () (not @t426)) % 235.43/235.64 (define @t459 () (not @t417)) % 235.43/235.64 (define @t460 () (= @t144 @t459)) % 235.43/235.64 (define @t461 () (or @t185 @t172 @t460)) % 235.43/235.64 (define @t462 () (tptp.sdtasdt0 tptp.xp @t418)) % 235.43/235.64 (define @t463 () (= tptp.xn @t462)) % 235.43/235.64 (define @t464 () (not @t463)) % 235.43/235.64 (define @t465 () (tptp.aNaturalNumber0 @t418)) % 235.43/235.64 (define @t466 () (not @t465)) % 235.43/235.64 (define @t467 () (or @t466 @t464)) % 235.43/235.64 (define @t468 () (@list @t467)) % 235.43/235.64 (define @t469 () (tptp.sdtsldt0 @t462 tptp.xp)) % 235.43/235.64 (define @t470 () (and @t465 (= @t462 @t462))) % 235.43/235.64 (define @t471 () (= @t470 (= @t469 @t418))) % 235.43/235.64 (define @t472 () (tptp.doDivides0 tptp.xp @t462)) % 235.43/235.64 (define @t473 () (not @t472)) % 235.43/235.64 (define @t474 () (tptp.aNaturalNumber0 @t462)) % 235.43/235.64 (define @t475 () (not @t474)) % 235.43/235.64 (define @t476 () (or @t185 @t475 @t123 @t473 @t471)) % 235.43/235.64 (define @t477 () (= @t418 @t469)) % 235.43/235.64 (define @t478 () (= @t465 @t477)) % 235.43/235.64 (define @t479 () (or @t185 @t475 @t215 @t473 @t478)) % 235.43/235.64 (define @t480 () (tptp.sdtasdt0 @t145 tptp.xp)) % 235.43/235.64 (define @t481 () (= @t206 @t480)) % 235.43/235.64 (define @t482 () (or @t185 @t236 @t481)) % 235.43/235.64 (define @t483 () (tptp.aNaturalNumber0 @t419)) % 235.43/235.64 (define @t484 () (or @t154 @t162 @t52 @t75)) % 235.43/235.64 (define @t485 () (tptp.sdtlseqdt0 @t418 @t419)) % 235.43/235.64 (define @t486 () (or @t185 @t466 @t123 @t485)) % 235.43/235.64 (define @t487 () (forall @t10 @t484)) % 235.43/235.64 (define @t488 () (or @t185 @t466 @t215 @t485)) % 235.43/235.64 (define @t489 () (tptp.iLess0 @t418 @t419)) % 235.43/235.64 (define @t490 () (not @t485)) % 235.43/235.64 (define @t491 () (not @t483)) % 235.43/235.64 (define @t492 () (or @t466 @t491 @t420 @t490 @t489)) % 235.43/235.64 (define @t493 () (not @t241)) % 235.43/235.64 (define @t494 () (not @t235)) % 235.43/235.64 (define @t495 () (not @t225)) % 235.43/235.64 (define @t496 () (not @t207)) % 235.43/235.64 (define @t497 () (not @t271)) % 235.43/235.64 (define @t498 () (not @t150)) % 235.43/235.64 (define @t499 () (not @t142)) % 235.43/235.64 (define @t500 () (= @t141 @t145)) % 235.43/235.64 (define @t501 () (and @t150 @t271 @t500 @t142 @t171)) % 235.43/235.64 (assume @p1 (forall @t3 (=> @t2 true))) % 235.43/235.64 (assume @p2 @t4) % 235.43/235.64 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 235.43/235.64 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 235.43/235.64 (assume @p5 @t13) % 235.43/235.64 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t14)))) % 235.43/235.64 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t7 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 235.43/235.64 (assume @p8 @t24) % 235.43/235.64 (assume @p9 @t27) % 235.43/235.64 (assume @p10 @t29) % 235.43/235.64 (assume @p11 @t34) % 235.43/235.64 (assume @p12 @t39) % 235.43/235.64 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t41)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t25 @t40)))))) % 235.43/235.64 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t7 @t44) (= @t14 @t43)) @t42)))) % 235.43/235.64 (assume @p15 @t56) % 235.43/235.64 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t52 @t57))))) % 235.43/235.64 (assume @p17 @t61) % 235.43/235.64 (assume @p18 (forall @t10 (=> @t9 (= @t64 (exists @t63 @t62))))) % 235.43/235.64 (assume @p19 (forall @t10 (=> @t9 (=> @t64 (forall @t63 (= (= @t15 (tptp.sdtmndt0 @t6 @t1)) @t62)))))) % 235.43/235.64 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 235.43/235.64 (assume @p21 (forall @t10 (=> @t9 (=> (and @t64 @t66) @t65)))) % 235.43/235.64 (assume @p22 (forall @t19 (=> @t18 (=> (and @t64 @t67) (tptp.sdtlseqdt0 @t1 @t15))))) % 235.43/235.64 (assume @p23 (forall @t10 (=> @t9 (or @t64 (and (not @t68) @t66))))) % 235.43/235.64 (assume @p24 (forall @t10 (=> @t9 (=> @t71 (forall @t63 (=> @t17 (and (not (= @t43 @t69)) (tptp.sdtlseqdt0 @t43 @t69) (not (= @t44 @t16)) (tptp.sdtlseqdt0 @t44 @t16)))))))) % 235.43/235.64 (assume @p25 (forall @t19 (=> @t18 (=> (and @t53 (not @t42) @t67) (and @t73 (tptp.sdtlseqdt0 @t11 @t41) @t72 (tptp.sdtlseqdt0 @t25 @t40)))))) % 235.43/235.64 (assume @p26 (forall @t3 (=> @t2 (or @t52 @t74 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 235.43/235.64 (assume @p27 @t77) % 235.43/235.64 (assume @p28 (forall @t10 (=> @t9 (=> @t78 true)))) % 235.43/235.64 (assume @p29 @t80) % 235.43/235.64 (assume @p30 @t87) % 235.43/235.64 (assume @p31 @t94) % 235.43/235.64 (assume @p32 (forall @t19 (=> @t18 (=> (and @t84 (tptp.doDivides0 @t6 @t15)) @t95)))) % 235.43/235.64 (assume @p33 (forall @t19 (=> @t18 (=> (and @t84 @t95) @t96)))) % 235.43/235.64 (assume @p34 (forall @t19 (=> @t18 (=> (and @t84 @t96) @t95)))) % 235.43/235.64 (assume @p35 (forall @t10 (=> @t9 (=> (and @t84 @t97) @t64)))) % 235.43/235.64 (assume @p36 @t102) % 235.43/235.64 (assume @p37 @t114) % 235.43/235.64 (assume @p38 (forall @t3 (=> (and @t2 @t53 @t109) (exists @t107 (and @t8 @t104 (tptp.isPrime0 @t6)))))) % 235.43/235.64 (assume @p39 @t122) % 235.43/235.64 (assume @p40 (and @t129 @t128 @t127 (not @t126) (not @t125) @t124)) % 235.43/235.64 (assume @p41 @t138) % 235.43/235.64 (assume @p42 @t142) % 235.43/235.64 (assume @p43 @t143) % 235.43/235.64 (assume @p44 (and (tptp.doDivides0 tptp.xp @t139) @t144)) % 235.43/235.64 (assume @p45 (= tptp.xq @t145)) % 235.43/235.64 (assume @p46 @t148) % 235.43/235.64 (assume @p47 (not (and (not (= tptp.xm tptp.xn)) (tptp.sdtlseqdt0 tptp.xm tptp.xn)))) % 235.43/235.64 (assume @p48 true) % 235.43/235.64 (step @p49 :rule bool-impl-elim :args (@t2 @t149)) % 235.43/235.64 (step @p50 :rule cong :premises (@p49) :args ((forall @t3 (=> @t2 @t149)))) % 235.43/235.64 (step @p51 :rule refl :args (@t20)) % 235.43/235.64 (step @p52 :rule eq-symm :args (@t21 @t1)) % 235.43/235.64 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t22)) % 235.43/235.64 (step @p54 :rule refl :args (@t2)) % 235.43/235.64 (step @p55 :rule cong :premises (@p54 @p53) :args (@t23)) % 235.43/235.64 (step @p56 :rule cong :premises (@p55) :args (@t24)) % 235.43/235.64 (step @p57 :rule trans :premises (@p56 @p50)) % 235.43/235.64 (step @p58 :rule eq_resolve :premises (@p8 @p57)) % 235.43/235.64 (step @p59 :rule aci_norm :args ((= @t151 @t150))) % 235.43/235.64 (step @p60 :rule refl :args (@t152)) % 235.43/235.64 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t153)) % 235.43/235.64 (step @p62 :rule refl :args (@t155)) % 235.43/235.64 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t155 @t153))) % 235.43/235.64 (assume-push @p1126 @t155) % 235.43/235.64 (step @p65 :rule instantiate :premises (@p58) :args ((@list tptp.sz00))) % 235.43/235.64 (step-pop @p1127 :rule scope :premises (@p65)) % 235.43/235.64 (step @p66 :rule process_scope :premises (@p1127) :args (@t153)) % 235.43/235.64 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 235.43/235.64 (step @p69 :rule implies_elim :premises (@p68)) % 235.43/235.64 (step @p70 :rule chain_m_resolution :premises (@p69 @p58) :args (@t156 @t157 (@list @t155))) % 235.43/235.64 (step @p71 :rule cnf_or_pos :args (@t156)) % 235.43/235.64 (step @p72 :rule reordering :premises (@p71) :args ((or @t152 @t150 (not @t156)))) % 235.43/235.64 (step @p73 :rule chain_m_resolution :premises (@p72 @p2 @p70) :args (@t150 @t158 (@list @t4 @t156))) % 235.43/235.64 (step @p74 :rule aci_norm :args ((= (or @t165 @t164) @t163))) % 235.43/235.64 (step @p75 :rule aci_norm :args ((= (or @t161 @t166) @t164))) % 235.43/235.64 (step @p76 :rule bool-impl-elim :args (@t160 @t166)) % 235.43/235.64 (step @p77 :rule trans :premises (@p76 @p75)) % 235.43/235.64 (step @p78 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 235.43/235.64 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t168 @t167))) % 235.43/235.64 (step @p80 :rule trans :premises (@p79 @p74)) % 235.43/235.64 (step @p81 :rule bool-impl-elim :args (@t9 @t167)) % 235.43/235.64 (step @p82 :rule trans :premises (@p81 @p80)) % 235.43/235.64 (step @p83 :rule cong :premises (@p82) :args ((forall @t10 (=> @t9 @t167)))) % 235.43/235.64 (step @p84 :rule eq-symm :args (@t6 tptp.sz00)) % 235.43/235.64 (step @p85 :rule refl :args (@t52)) % 235.43/235.64 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t58)) % 235.43/235.64 (step @p87 :rule eq-symm :args (@t11 tptp.sz00)) % 235.43/235.64 (step @p88 :rule cong :premises (@p87 @p86) :args (@t59)) % 235.43/235.64 (step @p89 :rule refl :args (@t9)) % 235.43/235.64 (step @p90 :rule cong :premises (@p89 @p88) :args (@t60)) % 235.43/235.64 (step @p91 :rule cong :premises (@p90) :args (@t61)) % 235.43/235.64 (step @p92 :rule trans :premises (@p91 @p83)) % 235.43/235.64 (step @p93 :rule eq_resolve :premises (@p17 @p92)) % 235.43/235.64 (step @p94 :rule refl :args (@t169)) % 235.43/235.64 (step @p95 :rule eq-symm :args (tptp.xn tptp.sz00)) % 235.43/235.64 (step @p96 :rule refl :args (@t171)) % 235.43/235.64 (step @p97 :rule refl :args (@t172)) % 235.43/235.64 (step @p98 :rule nary_cong :premises (@p97 @p97 @p96 @p95 @p94) :args (@t173)) % 235.43/235.64 (step @p99 :rule refl :args (@t174)) % 235.43/235.64 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t174 @t173))) % 235.43/235.64 (assume-push @p1128 @t174) % 235.43/235.64 (step @p102 :rule instantiate :premises (@p93) :args ((@list tptp.xn tptp.xn))) % 235.43/235.64 (step-pop @p1129 :rule scope :premises (@p102)) % 235.43/235.64 (step @p103 :rule process_scope :premises (@p1129) :args (@t173)) % 235.43/235.64 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 235.43/235.64 (step @p106 :rule implies_elim :premises (@p105)) % 235.43/235.64 (step @p107 :rule chain_m_resolution :premises (@p106 @p93) :args (@t175 @t157 (@list @t174))) % 235.43/235.64 (step @p108 :rule and_elim :premises (@p40) :args (0)) % 235.43/235.64 (step @p109 :rule and_elim :premises (@p40) :args (3)) % 235.43/235.64 (step @p110 :rule symm :premises (@p109)) % 235.43/235.64 (step @p111 :rule cnf_or_pos :args (@t175)) % 235.43/235.64 (step @p112 :rule factoring :premises (@p111)) % 235.43/235.64 (step @p113 :rule reordering :premises (@p112) :args ((or @t169 @t172 @t171 (not @t175)))) % 235.43/235.64 (step @p114 :rule chain_m_resolution :premises (@p113 @p110 @p108 @p107) :args (@t171 (@list true false false) (@list @t169 @t129 @t175))) % 235.43/235.64 (step @p115 :rule bool-impl-elim :args (@t2 @t176)) % 235.43/235.64 (step @p116 :rule cong :premises (@p115) :args ((forall @t3 (=> @t2 @t176)))) % 235.43/235.64 (step @p117 :rule refl :args (@t35)) % 235.43/235.64 (step @p118 :rule eq-symm :args (@t36 tptp.sz00)) % 235.43/235.64 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t37)) % 235.43/235.64 (step @p120 :rule cong :premises (@p54 @p119) :args (@t38)) % 235.43/235.64 (step @p121 :rule cong :premises (@p120) :args (@t39)) % 235.43/235.64 (step @p122 :rule trans :premises (@p121 @p116)) % 235.43/235.64 (step @p123 :rule eq_resolve :premises (@p12 @p122)) % 235.43/235.64 (step @p124 :rule instantiate :premises (@p123) :args (@t177)) % 235.43/235.64 (step @p125 :rule cnf_or_pos :args (@t180)) % 235.43/235.64 (step @p126 :rule reordering :premises (@p125) :args ((or @t172 @t179 (not @t180)))) % 235.43/235.64 (step @p127 :rule chain_m_resolution :premises (@p126 @p108 @p124) :args (@t179 @t158 (@list @t129 @t180))) % 235.43/235.64 (step @p128 :rule cnf_and_pos :args (@t179 0)) % 235.43/235.64 (step @p129 :rule reordering :premises (@p128) :args ((or @t178 (not @t179)))) % 235.43/235.64 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t178 @t157 (@list @t179))) % 235.43/235.64 (step @p131 :rule instantiate :premises (@p123) :args (@t181)) % 235.43/235.64 (step @p132 :rule and_elim :premises (@p40) :args (2)) % 235.43/235.64 (step @p133 :rule cnf_or_pos :args (@t186)) % 235.43/235.64 (step @p134 :rule reordering :premises (@p133) :args ((or @t185 @t184 (not @t186)))) % 235.43/235.64 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p131) :args (@t184 @t158 (@list @t127 @t186))) % 235.43/235.64 (step @p136 :rule cnf_and_pos :args (@t184 0)) % 235.43/235.64 (step @p137 :rule reordering :premises (@p136) :args ((or @t183 (not @t184)))) % 235.43/235.64 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t183 @t157 (@list @t184))) % 235.43/235.64 (step @p139 :rule eq-symm :args (@t187 @t88)) % 235.43/235.64 (step @p140 :rule refl :args (@t188)) % 235.43/235.64 (step @p141 :rule cong :premises (@p140 @p139) :args (@t189)) % 235.43/235.64 (step @p142 :rule refl :args (@t190)) % 235.43/235.64 (step @p143 :rule refl :args (@t162)) % 235.43/235.64 (step @p144 :rule refl :args (@t154)) % 235.43/235.64 (step @p145 :rule nary_cong :premises (@p144 @p143 @p85 @p142 @p141) :args (@t191)) % 235.43/235.64 (step @p146 :rule cong :premises (@p145) :args (@t193)) % 235.43/235.64 (step @p147 :rule quant-merge-prenex :args ((= (forall @t10 @t195) @t193))) % 235.43/235.64 (step @p148 :rule alpha_equiv :args (@t196 (@list @t187) @t197)) % 235.43/235.64 (step @p149 :rule refl :args (@t190)) % 235.43/235.64 (step @p150 :rule refl :args (@t52)) % 235.43/235.64 (step @p151 :rule refl :args (@t162)) % 235.43/235.64 (step @p152 :rule refl :args (@t154)) % 235.43/235.64 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149 @p148) :args (@t198)) % 235.43/235.64 (step @p154 :rule quant-miniscope-or :args ((= @t195 @t198))) % 235.43/235.64 (step @p155 :rule trans :premises (@p154 @p153)) % 235.43/235.64 (step @p156 :rule symm :premises (@p155)) % 235.43/235.64 (step @p157 :rule cong :premises (@p156) :args ((forall @t10 @t200))) % 235.43/235.64 (step @p158 :rule trans :premises (@p157 @p147)) % 235.43/235.64 (step @p159 :rule trans :premises (@p158 @p146)) % 235.43/235.64 (step @p160 :rule aci_norm :args ((= (or @t165 @t201) @t200))) % 235.43/235.64 (step @p161 :rule aci_norm :args ((= (or @t202 @t199) @t201))) % 235.43/235.64 (step @p162 :rule refl :args (@t199)) % 235.43/235.64 (step @p163 :rule bool-double-not-elim :args (@t52)) % 235.43/235.64 (step @p164 :rule nary_cong :premises (@p163 @p149) :args ((or @t203 @t190))) % 235.43/235.64 (step @p165 :rule bool-and-de-morgan :args (@t53 @t84 true)) % 235.43/235.64 (step @p166 :rule trans :premises (@p165 @p164)) % 235.43/235.64 (step @p167 :rule nary_cong :premises (@p166 @p162) :args ((or @t204 @t199))) % 235.43/235.64 (step @p168 :rule trans :premises (@p167 @p161)) % 235.43/235.64 (step @p169 :rule bool-impl-elim :args (@t91 @t199)) % 235.43/235.64 (step @p170 :rule trans :premises (@p169 @p168)) % 235.43/235.64 (step @p171 :rule nary_cong :premises (@p78 @p170) :args ((or @t168 @t205))) % 235.43/235.64 (step @p172 :rule trans :premises (@p171 @p160)) % 235.43/235.64 (step @p173 :rule bool-impl-elim :args (@t9 @t205)) % 235.43/235.64 (step @p174 :rule trans :premises (@p173 @p172)) % 235.43/235.64 (step @p175 :rule cong :premises (@p174) :args ((forall @t10 (=> @t9 @t205)))) % 235.43/235.64 (step @p176 :rule trans :premises (@p175 @p159)) % 235.43/235.64 (step @p177 :rule eq-symm :args (@t89 @t82)) % 235.43/235.64 (step @p178 :rule cong :premises (@p177) :args (@t90)) % 235.43/235.64 (step @p179 :rule refl :args (@t91)) % 235.43/235.64 (step @p180 :rule cong :premises (@p179 @p178) :args (@t92)) % 235.43/235.64 (step @p181 :rule cong :premises (@p89 @p180) :args (@t93)) % 235.43/235.64 (step @p182 :rule cong :premises (@p181) :args (@t94)) % 235.43/235.64 (step @p183 :rule trans :premises (@p182 @p176)) % 235.43/235.64 (step @p184 :rule eq_resolve :premises (@p31 @p183)) % 235.43/235.64 (step @p185 :rule bool-eq-true :args (@t209)) % 235.43/235.64 (step @p186 :rule eq-symm :args (true @t209)) % 235.43/235.64 (step @p187 :rule trans :premises (@p186 @p185)) % 235.43/235.64 (step @p188 :rule refl :args (@t209)) % 235.43/235.64 (step @p189 :rule eq-refl :args (@t145)) % 235.43/235.64 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t210 @t209))) % 235.43/235.64 (step @p191 :rule trans :premises (@p190 @p187)) % 235.43/235.64 (step @p192 :rule eq-symm :args (@t209 @t210)) % 235.43/235.64 (step @p193 :rule trans :premises (@p192 @p191)) % 235.43/235.64 (step @p194 :rule refl :args (@t211)) % 235.43/235.64 (step @p195 :rule eq-symm :args (tptp.xp tptp.sz00)) % 235.43/235.64 (step @p196 :rule refl :args (@t185)) % 235.43/235.64 (step @p197 :rule nary_cong :premises (@p196 @p97 @p195 @p194 @p193) :args (@t212)) % 235.43/235.64 (step @p198 :rule refl :args (@t213)) % 235.43/235.64 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t213 @t212))) % 235.43/235.64 (assume-push @p1130 @t213) % 235.43/235.64 (step @p201 :rule instantiate :premises (@p184) :args (@t214)) % 235.43/235.64 (step-pop @p1131 :rule scope :premises (@p201)) % 235.43/235.64 (step @p202 :rule process_scope :premises (@p1131) :args (@t212)) % 235.43/235.64 (step @p204 :rule eq_resolve 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(assume-push @p1258 @t178) % 235.43/235.64 (assume-push @p1259 @t183) % 235.43/235.64 (assume-push @p1260 @t171) % 235.43/235.64 (assume-push @p1261 @t271) % 235.43/235.64 (assume-push @p1262 @t207) % 235.43/235.64 (assume-push @p1263 @t225) % 235.43/235.64 (assume-push @p1264 @t235) % 235.43/235.64 (assume-push @p1265 @t241) % 235.43/235.64 (assume-push @p1266 @t244) % 235.43/235.64 (assume-push @p1267 @t271) % 235.43/235.64 (assume-push @p1268 @t178) % 235.43/235.64 (assume-push @p1269 @t183) % 235.43/235.64 (assume-push @p1270 @t244) % 235.43/235.64 (assume-push @p1271 @t225) % 235.43/235.64 (assume-push @p1272 @t207) % 235.43/235.64 (assume-push @p1273 @t241) % 235.43/235.64 (assume-push @p1274 @t235) % 235.43/235.64 (assume-push @p1275 @t142) % 235.43/235.64 (step @p739 :rule symm :premises (@p130)) % 235.43/235.64 (step @p740 :rule symm :premises (@p138)) % 235.43/235.64 (step @p741 :rule refl :args (tptp.xn)) % 235.43/235.64 (step @p742 :rule cong :premises (@p741 @p740) :args (@t243)) % 235.43/235.64 (step @p1086 :rule symm :premises (@p1261)) % 235.43/235.64 (step @p1087 :rule cong :premises (@p425 @p977) :args (@t239)) % 235.43/235.64 (step @p1088 :rule trans :premises (@p253 @p1087 @p227)) % 235.43/235.64 (step @p1089 :rule cong :premises (@p1088 @p1086) :args ((tptp.sdtasdt0 @t240 @t145))) % 235.43/235.64 (step @p567 :rule refl :args (@t145)) % 235.43/235.64 (step @p1090 :rule symm :premises (@p1088)) % 235.43/235.64 (step @p1091 :rule cong :premises (@p1090 @p567) :args (@t234)) % 235.43/235.64 (step @p1092 :rule symm :premises (@p248)) % 235.43/235.64 (step @p1093 :rule cong :premises (@p741 @p215) :args (@t139)) % 235.43/235.64 (step @p1094 :rule trans :premises (@p42 @p1093 @p1092 @p1091 @p1089 @p257 @p742 @p739 @p1261)) % 235.43/235.64 (step-pop @p1276 :rule scope :premises (@p1094)) % 235.43/235.64 (step-pop @p1277 :rule scope :premises (@p1276)) % 235.43/235.64 (step-pop @p1278 :rule scope :premises (@p1277)) % 235.43/235.64 (step-pop @p1279 :rule scope :premises (@p1278)) % 235.43/235.64 (step-pop @p1280 :rule scope :premises (@p1279)) % 235.43/235.64 (step-pop @p1281 :rule scope :premises (@p1280)) % 235.43/235.64 (step-pop @p1282 :rule scope :premises (@p1281)) % 235.43/235.64 (step-pop @p1283 :rule scope :premises (@p1282)) % 235.43/235.64 (step-pop @p1284 :rule scope :premises (@p1283)) % 235.43/235.64 (step @p1095 :rule process_scope :premises (@p1284) :args (@t500)) % 235.43/235.64 (step @p1105 :rule and_intro :premises (@p1261 @p130 @p138 @p257 @p227 @p215 @p253 @p248 @p42)) % 235.43/235.64 (step @p1106 :rule modus_ponens :premises (@p1105 @p1095)) % 235.43/235.64 (step @p1107 :rule and_intro :premises (@p73 @p1261 @p1106 @p42 @p114)) % 235.43/235.64 (step-pop @p1285 :rule scope :premises (@p1107)) % 235.43/235.64 (step-pop @p1286 :rule scope :premises (@p1285)) % 235.43/235.64 (step-pop @p1287 :rule scope :premises (@p1286)) % 235.43/235.64 (step-pop @p1288 :rule scope :premises (@p1287)) % 235.43/235.64 (step-pop @p1289 :rule scope :premises (@p1288)) % 235.43/235.64 (step-pop @p1290 :rule scope :premises (@p1289)) % 235.43/235.64 (step-pop @p1291 :rule scope :premises (@p1290)) % 235.43/235.64 (step-pop @p1292 :rule scope :premises (@p1291)) % 235.43/235.64 (step-pop @p1293 :rule scope :premises (@p1292)) % 235.43/235.64 (step-pop @p1294 :rule scope :premises (@p1293)) % 235.43/235.64 (step-pop @p1295 :rule scope :premises (@p1294)) % 235.43/235.64 (step @p1108 :rule process_scope :premises (@p1295) :args (@t501)) % 235.43/235.64 (step @p1120 :rule implies_elim :premises (@p1108)) % 235.43/235.64 (step @p1121 :rule resolution :premises (@p1120 @p1060) :args (true @t501)) % 235.43/235.64 (step @p1122 :rule not_and :premises (@p1121)) % 235.43/235.64 (step @p1123 :rule eq_resolve :premises (@p1122 @p1044)) % 235.43/235.64 (step @p1124 :rule reordering :premises (@p1123) :args ((or @t499 @t170 @t498 @t414 @t413 @t497 @t496 @t495 @t494 @t493 @t412))) % 235.43/235.64 (step @p1125 false :rule chain_m_resolution :premises (@p1124 @p1032 @p257 @p253 @p248 @p227 @p215 @p138 @p130 @p114 @p73 @p42) :args (false (@list false false false false false false false false true false false) (@list @t271 @t244 @t241 @t235 @t225 @t207 @t183 @t178 @t170 @t150 @t142))) % 235.43/235.64 ) % 235.43/235.64 % SZS output end Proof % 235.43/235.65 % cvc5 exiting %------------------------------------------------------------------------------