%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM518+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 08:39:41 AM UTC 2026 % Result : Theorem 30.87s 31.07s % Output : Proof 30.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM518+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 % 0.16/0.34 % Computer : n002.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 11:27:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 30.87/31.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 30.87/31.07 --- Run --no-e-matching --full-saturate-quant at 6... % 30.87/31.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 30.87/31.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.87/31.07 % SZS status Theorem % 30.87/31.07 % SZS output start Proof % 30.87/31.07 ( % 30.87/31.07 (declare-sort $$unsorted 0) % 30.87/31.07 (declare-const tptp.xr $$unsorted) % 30.87/31.07 (declare-const tptp.xk $$unsorted) % 30.87/31.07 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 30.87/31.07 (declare-const tptp.xm $$unsorted) % 30.87/31.07 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 30.87/31.07 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 30.87/31.07 (declare-const tptp.xn $$unsorted) % 30.87/31.07 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 30.87/31.07 (declare-const tptp.sz00 $$unsorted) % 30.87/31.07 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 30.87/31.07 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 30.87/31.07 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 30.87/31.07 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 30.87/31.07 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 30.87/31.07 (declare-const tptp.sz10 $$unsorted) % 30.87/31.07 (declare-const tptp.xp $$unsorted) % 30.87/31.07 (define @t1 () (@var "W0" $$unsorted)) % 30.87/31.07 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 30.87/31.07 (define @t3 () (@list @t1)) % 30.87/31.07 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 30.87/31.07 (define @t5 () (= tptp.sz10 tptp.sz00)) % 30.87/31.07 (define @t6 () (tptp.aNaturalNumber0 tptp.sz10)) % 30.87/31.07 (define @t7 () (@var "W1" $$unsorted)) % 30.87/31.07 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 30.87/31.07 (define @t9 () (tptp.aNaturalNumber0 @t7)) % 30.87/31.07 (define @t10 () (and @t2 @t9)) % 30.87/31.07 (define @t11 () (@list @t1 @t7)) % 30.87/31.07 (define @t12 () (tptp.sdtasdt0 @t1 @t7)) % 30.87/31.07 (define @t13 () (tptp.sdtpldt0 @t7 @t1)) % 30.87/31.07 (define @t14 () (@var "W2" $$unsorted)) % 30.87/31.07 (define @t15 () (tptp.sdtpldt0 @t7 @t14)) % 30.87/31.07 (define @t16 () (tptp.sdtpldt0 @t8 @t14)) % 30.87/31.07 (define @t17 () (tptp.aNaturalNumber0 @t14)) % 30.87/31.07 (define @t18 () (and @t2 @t9 @t17)) % 30.87/31.07 (define @t19 () (@list @t1 @t7 @t14)) % 30.87/31.07 (define @t20 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 30.87/31.07 (define @t21 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 30.87/31.07 (define @t22 () (and (= @t21 @t1) @t20)) % 30.87/31.07 (define @t23 () (=> @t2 @t22)) % 30.87/31.07 (define @t24 () (forall @t3 @t23)) % 30.87/31.07 (define @t25 () (tptp.sdtasdt0 @t7 @t1)) % 30.87/31.07 (define @t26 () (= (tptp.sdtasdt0 @t12 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t7 @t14)))) % 30.87/31.07 (define @t27 () (forall @t19 (=> @t18 @t26))) % 30.87/31.07 (define @t28 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 30.87/31.07 (define @t29 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 30.87/31.07 (define @t30 () (and (= @t29 @t1) @t28)) % 30.87/31.07 (define @t31 () (=> @t2 @t30)) % 30.87/31.07 (define @t32 () (forall @t3 @t31)) % 30.87/31.07 (define @t33 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 30.87/31.07 (define @t34 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 30.87/31.07 (define @t35 () (and (= @t34 tptp.sz00) @t33)) % 30.87/31.07 (define @t36 () (=> @t2 @t35)) % 30.87/31.07 (define @t37 () (forall @t3 @t36)) % 30.87/31.07 (define @t38 () (tptp.sdtasdt0 @t14 @t1)) % 30.87/31.07 (define @t39 () (tptp.sdtasdt0 @t1 @t14)) % 30.87/31.07 (define @t40 () (= @t7 @t14)) % 30.87/31.07 (define @t41 () (tptp.sdtpldt0 @t14 @t1)) % 30.87/31.07 (define @t42 () (= @t13 @t41)) % 30.87/31.07 (define @t43 () (tptp.sdtpldt0 @t1 @t14)) % 30.87/31.07 (define @t44 () (= @t8 @t43)) % 30.87/31.07 (define @t45 () (or @t44 @t42)) % 30.87/31.07 (define @t46 () (=> @t45 @t40)) % 30.87/31.07 (define @t47 () (forall @t19 (=> @t18 @t46))) % 30.87/31.07 (define @t48 () (= @t25 @t38)) % 30.87/31.07 (define @t49 () (= @t12 @t39)) % 30.87/31.07 (define @t50 () (and @t9 @t17)) % 30.87/31.07 (define @t51 () (= @t1 tptp.sz00)) % 30.87/31.07 (define @t52 () (not @t51)) % 30.87/31.07 (define @t53 () (= @t7 tptp.sz00)) % 30.87/31.07 (define @t54 () (and @t17 (= @t43 @t7))) % 30.87/31.07 (define @t55 () (@list @t14)) % 30.87/31.07 (define @t56 () (tptp.sdtlseqdt0 @t1 @t7)) % 30.87/31.07 (define @t57 () (tptp.sdtmndt0 @t7 @t1)) % 30.87/31.07 (define @t58 () (= @t14 @t57)) % 30.87/31.07 (define @t59 () (forall @t55 (= @t58 @t54))) % 30.87/31.07 (define @t60 () (=> @t56 @t59)) % 30.87/31.07 (define @t61 () (=> @t10 @t60)) % 30.87/31.07 (define @t62 () (forall @t11 @t61)) % 30.87/31.07 (define @t63 () (= @t1 @t7)) % 30.87/31.07 (define @t64 () (tptp.sdtlseqdt0 @t7 @t1)) % 30.87/31.07 (define @t65 () (tptp.sdtlseqdt0 @t1 @t14)) % 30.87/31.07 (define @t66 () (tptp.sdtlseqdt0 @t7 @t14)) % 30.87/31.07 (define @t67 () (and @t56 @t66)) % 30.87/31.07 (define @t68 () (=> @t67 @t65)) % 30.87/31.07 (define @t69 () (forall @t19 (=> @t18 @t68))) % 30.87/31.07 (define @t70 () (= @t7 @t1)) % 30.87/31.07 (define @t71 () (tptp.sdtpldt0 @t14 @t7)) % 30.87/31.07 (define @t72 () (and (not @t63) @t56)) % 30.87/31.07 (define @t73 () (= @t1 tptp.sz10)) % 30.87/31.07 (define @t74 () (tptp.sdtlseqdt0 @t7 @t25)) % 30.87/31.07 (define @t75 () (=> @t52 @t74)) % 30.87/31.07 (define @t76 () (forall @t11 (=> @t10 @t75))) % 30.87/31.07 (define @t77 () (tptp.iLess0 @t1 @t7)) % 30.87/31.07 (define @t78 () (= @t7 @t39)) % 30.87/31.07 (define @t79 () (and @t17 @t78)) % 30.87/31.07 (define @t80 () (exists @t55 @t79)) % 30.87/31.07 (define @t81 () (tptp.doDivides0 @t1 @t7)) % 30.87/31.07 (define @t82 () (= @t81 @t80)) % 30.87/31.07 (define @t83 () (=> @t10 @t82)) % 30.87/31.07 (define @t84 () (forall @t11 @t83)) % 30.87/31.07 (define @t85 () (tptp.sdtsldt0 @t7 @t1)) % 30.87/31.07 (define @t86 () (= @t14 @t85)) % 30.87/31.07 (define @t87 () (forall @t55 (= @t86 @t79))) % 30.87/31.07 (define @t88 () (and @t52 @t81)) % 30.87/31.07 (define @t89 () (=> @t88 @t87)) % 30.87/31.07 (define @t90 () (=> @t10 @t89)) % 30.87/31.07 (define @t91 () (forall @t11 @t90)) % 30.87/31.07 (define @t92 () (tptp.doDivides0 @t1 @t14)) % 30.87/31.07 (define @t93 () (tptp.doDivides0 @t1 @t15)) % 30.87/31.07 (define @t94 () (not @t53)) % 30.87/31.07 (define @t95 () (and @t81 @t94)) % 30.87/31.07 (define @t96 () (=> @t95 @t56)) % 30.87/31.07 (define @t97 () (=> @t10 @t96)) % 30.87/31.07 (define @t98 () (forall @t11 @t97)) % 30.87/31.07 (define @t99 () (or (= @t7 tptp.sz10) @t70)) % 30.87/31.07 (define @t100 () (tptp.doDivides0 @t7 @t1)) % 30.87/31.07 (define @t101 () (and @t9 @t100)) % 30.87/31.07 (define @t102 () (=> @t101 @t99)) % 30.87/31.07 (define @t103 () (@list @t7)) % 30.87/31.07 (define @t104 () (forall @t103 @t102)) % 30.87/31.07 (define @t105 () (not @t73)) % 30.87/31.07 (define @t106 () (and @t52 @t105 @t104)) % 30.87/31.07 (define @t107 () (tptp.isPrime0 @t1)) % 30.87/31.07 (define @t108 () (= @t107 @t106)) % 30.87/31.07 (define @t109 () (=> @t2 @t108)) % 30.87/31.07 (define @t110 () (forall @t3 @t109)) % 30.87/31.07 (define @t111 () (tptp.aNaturalNumber0 tptp.xp)) % 30.87/31.07 (define @t112 () (tptp.aNaturalNumber0 tptp.xm)) % 30.87/31.07 (define @t113 () (tptp.aNaturalNumber0 tptp.xn)) % 30.87/31.07 (define @t114 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 30.87/31.07 (define @t115 () (tptp.doDivides0 tptp.xp @t114)) % 30.87/31.07 (define @t116 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 30.87/31.07 (define @t117 () (= tptp.xk tptp.sz10)) % 30.87/31.07 (define @t118 () (= tptp.xk tptp.sz00)) % 30.87/31.07 (define @t119 () (tptp.isPrime0 tptp.xr)) % 30.87/31.07 (define @t120 () (tptp.aNaturalNumber0 tptp.xr)) % 30.87/31.07 (define @t121 () (tptp.doDivides0 tptp.xr tptp.xn)) % 30.87/31.07 (define @t122 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 30.87/31.07 (define @t123 () (tptp.sdtlseqdt0 @t122 tptp.xn)) % 30.87/31.07 (define @t124 () (tptp.doDivides0 tptp.xp tptp.xm)) % 30.87/31.07 (define @t125 () (tptp.doDivides0 tptp.xp @t122)) % 30.87/31.07 (define @t126 () (tptp.doDivides0 tptp.xp tptp.xn)) % 30.87/31.07 (define @t127 () (@list true)) % 30.87/31.07 (define @t128 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 30.87/31.07 (define @t129 () (and (tptp.aNaturalNumber0 @t128) (= @t7 (tptp.sdtasdt0 @t1 @t128)))) % 30.87/31.07 (define @t130 () (= @t129 (= @t128 @t85))) % 30.87/31.07 (define @t131 () (not @t81)) % 30.87/31.07 (define @t132 () (not @t9)) % 30.87/31.07 (define @t133 () (not @t2)) % 30.87/31.07 (define @t134 () (or @t133 @t132 @t51 @t131 @t130)) % 30.87/31.07 (define @t135 () (@list @t1 @t7 @t128)) % 30.87/31.07 (define @t136 () (forall @t135 @t134)) % 30.87/31.07 (define @t137 () (@list @t128)) % 30.87/31.07 (define @t138 () (forall @t137 @t134)) % 30.87/31.07 (define @t139 () (forall @t137 @t130)) % 30.87/31.07 (define @t140 () (@list @t14)) % 30.87/31.07 (define @t141 () (or @t133 @t132 @t51 @t131 @t139)) % 30.87/31.07 (define @t142 () (forall @t55 (= @t79 @t86))) % 30.87/31.07 (define @t143 () (or @t133 @t132 @t51 @t131 @t142)) % 30.87/31.07 (define @t144 () (or @t51 @t131 @t142)) % 30.87/31.07 (define @t145 () (or @t133 @t132)) % 30.87/31.07 (define @t146 () (not @t52)) % 30.87/31.07 (define @t147 () (=> @t88 @t142)) % 30.87/31.07 (define @t148 () (not @t10)) % 30.87/31.07 (define @t149 () (not @t17)) % 30.87/31.07 (define @t150 () (forall @t55 (or @t149 (not (= tptp.xn (tptp.sdtasdt0 tptp.xr @t14)))))) % 30.87/31.07 (define @t151 () (@quantifiers_skolemize @t150 0)) % 30.87/31.07 (define @t152 () (= @t122 @t151)) % 30.87/31.07 (define @t153 () (= tptp.xn (tptp.sdtasdt0 tptp.xr @t151))) % 30.87/31.07 (define @t154 () (tptp.aNaturalNumber0 @t151)) % 30.87/31.07 (define @t155 () (and @t154 @t153)) % 30.87/31.07 (define @t156 () (= @t155 @t152)) % 30.87/31.07 (define @t157 () (not @t121)) % 30.87/31.07 (define @t158 () (not @t113)) % 30.87/31.07 (define @t159 () (not @t120)) % 30.87/31.07 (define @t160 () (= tptp.xr tptp.sz00)) % 30.87/31.07 (define @t161 () (or @t159 @t158 @t160 @t157 @t156)) % 30.87/31.07 (define @t162 () (forall @t135 (or @t133 @t132 @t51 @t131 (= @t129 (= @t85 @t128))))) % 30.87/31.07 (define @t163 () (= tptp.sz00 tptp.xr)) % 30.87/31.07 (define @t164 () (or @t159 @t158 @t163 @t157 @t156)) % 30.87/31.07 (define @t165 () (@list false)) % 30.87/31.07 (define @t166 () (@list @t162)) % 30.87/31.07 (define @t167 () (= tptp.sz10 @t7)) % 30.87/31.07 (define @t168 () (not @t100)) % 30.87/31.07 (define @t169 () (or @t132 @t168 @t167 @t63)) % 30.87/31.07 (define @t170 () (= @t107 (and @t52 @t105 (forall @t103 @t169)))) % 30.87/31.07 (define @t171 () (or @t167 @t63)) % 30.87/31.07 (define @t172 () (tptp.isPrime0 tptp.sz00)) % 30.87/31.07 (define @t173 () (= tptp.sz00 @t7)) % 30.87/31.07 (define @t174 () (forall @t103 (or @t132 (not (tptp.doDivides0 @t7 tptp.sz00)) @t167 @t173))) % 30.87/31.07 (define @t175 () (= tptp.sz00 tptp.sz10)) % 30.87/31.07 (define @t176 () (not @t175)) % 30.87/31.07 (define @t177 () (not (= tptp.sz00 tptp.sz00))) % 30.87/31.07 (define @t178 () (and @t177 @t176 @t174)) % 30.87/31.07 (define @t179 () (= @t172 @t178)) % 30.87/31.07 (define @t180 () (not @t4)) % 30.87/31.07 (define @t181 () (or @t180 @t179)) % 30.87/31.07 (define @t182 () (forall @t3 (or @t133 @t170))) % 30.87/31.07 (define @t183 () (not @t172)) % 30.87/31.07 (define @t184 () (or @t180 @t183)) % 30.87/31.07 (define @t185 () (@list false false)) % 30.87/31.07 (define @t186 () (not @t163)) % 30.87/31.07 (define @t187 () (not @t119)) % 30.87/31.07 (define @t188 () (= true false)) % 30.87/31.07 (define @t189 () (and @t183 @t163 @t119)) % 30.87/31.07 (define @t190 () (@list false false false true false)) % 30.87/31.07 (define @t191 () (= @t81 (not (forall @t55 (or @t149 (not @t78)))))) % 30.87/31.07 (define @t192 () (forall @t55 (not @t79))) % 30.87/31.07 (define @t193 () (not @t192)) % 30.87/31.07 (define @t194 () (not @t150)) % 30.87/31.07 (define @t195 () (= @t121 @t194)) % 30.87/31.07 (define @t196 () (or @t159 @t158 @t195)) % 30.87/31.07 (define @t197 () (@list false false false)) % 30.87/31.07 (define @t198 () (not @t153)) % 30.87/31.07 (define @t199 () (not @t154)) % 30.87/31.07 (define @t200 () (or @t199 @t198)) % 30.87/31.07 (define @t201 () (@list @t200)) % 30.87/31.07 (define @t202 () (or @t131 @t173 @t56)) % 30.87/31.07 (define @t203 () (not @t173)) % 30.87/31.07 (define @t204 () (and @t81 @t203)) % 30.87/31.07 (define @t205 () (=> @t204 @t56)) % 30.87/31.07 (define @t206 () (not @t66)) % 30.87/31.07 (define @t207 () (not @t56)) % 30.87/31.07 (define @t208 () (or @t207 @t206 @t65)) % 30.87/31.07 (define @t209 () (or @t133 @t132 @t149)) % 30.87/31.07 (define @t210 () (not @t18)) % 30.87/31.07 (define @t211 () (tptp.sdtlseqdt0 @t151 tptp.xn)) % 30.87/31.07 (define @t212 () (and @t123 @t152)) % 30.87/31.07 (define @t213 () (not @t211)) % 30.87/31.07 (define @t214 () (tptp.sdtlseqdt0 tptp.xp @t151)) % 30.87/31.07 (define @t215 () (not @t214)) % 30.87/31.07 (define @t216 () (not @t111)) % 30.87/31.07 (define @t217 () (or @t216 @t199 @t158 @t215 @t213 @t116)) % 30.87/31.07 (define @t218 () (tptp.sdtasdt0 tptp.xr tptp.sz00)) % 30.87/31.07 (define @t219 () (= tptp.xn @t218)) % 30.87/31.07 (define @t220 () (and @t4 @t219)) % 30.87/31.07 (define @t221 () (= @t122 tptp.sz00)) % 30.87/31.07 (define @t222 () (or @t159 @t158 @t160 @t157 (= @t220 @t221))) % 30.87/31.07 (define @t223 () (= tptp.sz00 @t122)) % 30.87/31.07 (define @t224 () (= @t223 @t220)) % 30.87/31.07 (define @t225 () (or @t159 @t158 @t163 @t157 @t224)) % 30.87/31.07 (define @t226 () (@var "BOUND_VARIABLE_7909" $$unsorted)) % 30.87/31.07 (define @t227 () (= @t57 @t226)) % 30.87/31.07 (define @t228 () (and (tptp.aNaturalNumber0 @t226) (= @t7 (tptp.sdtpldt0 @t1 @t226)))) % 30.87/31.07 (define @t229 () (= (= @t226 @t57) @t228)) % 30.87/31.07 (define @t230 () (or @t133 @t132 @t207 @t229)) % 30.87/31.07 (define @t231 () (@list @t1 @t7 @t226)) % 30.87/31.07 (define @t232 () (forall @t231 @t230)) % 30.87/31.07 (define @t233 () (@list @t226)) % 30.87/31.07 (define @t234 () (forall @t233 @t230)) % 30.87/31.07 (define @t235 () (forall @t233 @t229)) % 30.87/31.07 (define @t236 () (or @t133 @t132 @t207 @t235)) % 30.87/31.07 (define @t237 () (and @t17 (= @t7 @t43))) % 30.87/31.07 (define @t238 () (forall @t55 (= @t58 @t237))) % 30.87/31.07 (define @t239 () (or @t133 @t132 @t207 @t238)) % 30.87/31.07 (define @t240 () (=> @t56 @t238)) % 30.87/31.07 (define @t241 () (tptp.sdtmndt0 tptp.xp tptp.xp)) % 30.87/31.07 (define @t242 () (tptp.sdtpldt0 tptp.xp tptp.sz00)) % 30.87/31.07 (define @t243 () (= tptp.xp @t242)) % 30.87/31.07 (define @t244 () (and @t4 @t243)) % 30.87/31.07 (define @t245 () (= @t244 (= @t241 tptp.sz00))) % 30.87/31.07 (define @t246 () (tptp.sdtlseqdt0 tptp.xp tptp.xp)) % 30.87/31.07 (define @t247 () (not @t246)) % 30.87/31.07 (define @t248 () (or @t216 @t216 @t247 @t245)) % 30.87/31.07 (define @t249 () (forall @t231 (or @t133 @t132 @t207 (= @t228 @t227)))) % 30.87/31.07 (define @t250 () (= tptp.sz00 @t241)) % 30.87/31.07 (define @t251 () (= @t244 @t250)) % 30.87/31.07 (define @t252 () (or @t216 @t216 @t247 @t251)) % 30.87/31.07 (define @t253 () (@list @t249)) % 30.87/31.07 (define @t254 () (or @t133 @t132 @t51 @t74)) % 30.87/31.07 (define @t255 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 30.87/31.07 (define @t256 () (tptp.sdtlseqdt0 tptp.xp @t255)) % 30.87/31.07 (define @t257 () (not @t6)) % 30.87/31.07 (define @t258 () (or @t257 @t216 @t5 @t256)) % 30.87/31.07 (define @t259 () (forall @t11 @t254)) % 30.87/31.07 (define @t260 () (or @t257 @t216 @t175 @t256)) % 30.87/31.07 (define @t261 () (and (= @t1 @t29) @t28)) % 30.87/31.07 (define @t262 () (@list tptp.xp)) % 30.87/31.07 (define @t263 () (= tptp.xp @t255)) % 30.87/31.07 (define @t264 () (and @t263 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 30.87/31.07 (define @t265 () (or @t216 @t264)) % 30.87/31.07 (define @t266 () (and (= @t1 @t21) @t20)) % 30.87/31.07 (define @t267 () (tptp.sdtpldt0 tptp.sz00 tptp.xp)) % 30.87/31.07 (define @t268 () (and @t243 (= tptp.xp @t267))) % 30.87/31.07 (define @t269 () (or @t216 @t268)) % 30.87/31.07 (define @t270 () (not @t243)) % 30.87/31.07 (define @t271 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 30.87/31.07 (define @t272 () (tptp.sdtasdt0 tptp.sz00 @t271)) % 30.87/31.07 (define @t273 () (tptp.sdtasdt0 tptp.sz00 tptp.xn)) % 30.87/31.07 (define @t274 () (= (tptp.sdtasdt0 @t273 tptp.sz10) @t272)) % 30.87/31.07 (define @t275 () (or @t180 @t158 @t257 @t274)) % 30.87/31.07 (define @t276 () (and (= tptp.sz00 @t34) @t33)) % 30.87/31.07 (define @t277 () (= tptp.sz00 @t218)) % 30.87/31.07 (define @t278 () (and @t277 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xr)))) % 30.87/31.07 (define @t279 () (or @t159 @t278)) % 30.87/31.07 (define @t280 () (tptp.sdtpldt0 tptp.xp tptp.xn)) % 30.87/31.07 (define @t281 () (= tptp.xp @t280)) % 30.87/31.07 (define @t282 () (and @t113 @t281)) % 30.87/31.07 (define @t283 () (= @t282 (= @t241 tptp.xn))) % 30.87/31.07 (define @t284 () (or @t216 @t216 @t247 @t283)) % 30.87/31.07 (define @t285 () (= tptp.xn @t241)) % 30.87/31.07 (define @t286 () (= @t282 @t285)) % 30.87/31.07 (define @t287 () (or @t216 @t216 @t247 @t286)) % 30.87/31.07 (define @t288 () (and (not @t44) (not @t42))) % 30.87/31.07 (define @t289 () (= tptp.sz00 @t114)) % 30.87/31.07 (define @t290 () (not @t289)) % 30.87/31.07 (define @t291 () (= tptp.sz00 tptp.xn)) % 30.87/31.07 (define @t292 () (not @t291)) % 30.87/31.07 (define @t293 () (not @t115)) % 30.87/31.07 (define @t294 () (not @t126)) % 30.87/31.07 (define @t295 () (and @t294 @t291 @t289 @t115)) % 30.87/31.07 (define @t296 () (tptp.sdtasdt0 tptp.sz00 tptp.xm)) % 30.87/31.07 (define @t297 () (= tptp.sz00 @t296)) % 30.87/31.07 (define @t298 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)) @t297)) % 30.87/31.07 (define @t299 () (not @t112)) % 30.87/31.07 (define @t300 () (or @t299 @t298)) % 30.87/31.07 (define @t301 () (and @t291 @t297)) % 30.87/31.07 (define @t302 () (= @t242 @t280)) % 30.87/31.07 (define @t303 () (not @t302)) % 30.87/31.07 (define @t304 () (and @t303 (not (= @t267 (tptp.sdtpldt0 tptp.xn tptp.xp))))) % 30.87/31.07 (define @t305 () (or @t216 @t180 @t158 @t304 @t291)) % 30.87/31.07 (define @t306 () (not @t281)) % 30.87/31.07 (define @t307 () (and @t243 @t303)) % 30.87/31.07 (define @t308 () (@list true false)) % 30.87/31.07 (define @t309 () (not @t282)) % 30.87/31.07 (define @t310 () (not @t285)) % 30.87/31.07 (define @t311 () (@list tptp.xn)) % 30.87/31.07 (define @t312 () (= tptp.xn @t271)) % 30.87/31.07 (define @t313 () (and @t312 (= tptp.xn (tptp.sdtasdt0 tptp.sz10 tptp.xn)))) % 30.87/31.07 (define @t314 () (or @t158 @t313)) % 30.87/31.07 (define @t315 () (= tptp.sz00 @t273)) % 30.87/31.07 (define @t316 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xn tptp.sz00)) @t315)) % 30.87/31.07 (define @t317 () (or @t158 @t316)) % 30.87/31.07 (define @t318 () (not @t219)) % 30.87/31.07 (define @t319 () (not @t250)) % 30.87/31.07 (define @t320 () (not @t274)) % 30.87/31.07 (define @t321 () (not @t277)) % 30.87/31.07 (define @t322 () (not @t312)) % 30.87/31.07 (define @t323 () (not @t315)) % 30.87/31.07 (define @t324 () (tptp.sdtasdt0 tptp.sz00 tptp.sz10)) % 30.87/31.07 (define @t325 () (and @t315 @t312 @t277 @t274 @t250 @t310)) % 30.87/31.07 (define @t326 () (not @t220)) % 30.87/31.07 (define @t327 () (not @t223)) % 30.87/31.07 (define @t328 () (= tptp.sz00 @t151)) % 30.87/31.07 (define @t329 () (not @t328)) % 30.87/31.07 (define @t330 () (not @t152)) % 30.87/31.07 (define @t331 () (and @t327 @t152)) % 30.87/31.07 (define @t332 () (tptp.doDivides0 tptp.xp @t151)) % 30.87/31.07 (define @t333 () (not @t332)) % 30.87/31.07 (define @t334 () (or @t216 @t199 @t333 @t328 @t214)) % 30.87/31.07 (define @t335 () (not @t125)) % 30.87/31.07 (define @t336 () (and @t333 @t152 @t125)) % 30.87/31.07 (assume @p1 (forall @t3 (=> @t2 true))) % 30.87/31.07 (assume @p2 @t4) % 30.87/31.07 (assume @p3 (and @t6 (not @t5))) % 30.87/31.07 (assume @p4 (forall @t11 (=> @t10 (tptp.aNaturalNumber0 @t8)))) % 30.87/31.07 (assume @p5 (forall @t11 (=> @t10 (tptp.aNaturalNumber0 @t12)))) % 30.87/31.07 (assume @p6 (forall @t11 (=> @t10 (= @t8 @t13)))) % 30.87/31.07 (assume @p7 (forall @t19 (=> @t18 (= @t16 (tptp.sdtpldt0 @t1 @t15))))) % 30.87/31.07 (assume @p8 @t24) % 30.87/31.07 (assume @p9 (forall @t11 (=> @t10 (= @t12 @t25)))) % 30.87/31.07 (assume @p10 @t27) % 30.87/31.07 (assume @p11 @t32) % 30.87/31.07 (assume @p12 @t37) % 30.87/31.07 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t12 @t39)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t25 @t38)))))) % 30.87/31.07 (assume @p14 @t47) % 30.87/31.07 (assume @p15 (forall @t3 (=> @t2 (=> @t52 (forall (@list @t7 @t14) (=> @t50 (=> (or @t49 @t48) @t40))))))) % 30.87/31.07 (assume @p16 (forall @t11 (=> @t10 (=> (= @t8 tptp.sz00) (and @t51 @t53))))) % 30.87/31.07 (assume @p17 (forall @t11 (=> @t10 (=> (= @t12 tptp.sz00) (or @t51 @t53))))) % 30.87/31.07 (assume @p18 (forall @t11 (=> @t10 (= @t56 (exists @t55 @t54))))) % 30.87/31.07 (assume @p19 @t62) % 30.87/31.07 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 30.87/31.07 (assume @p21 (forall @t11 (=> @t10 (=> (and @t56 @t64) @t63)))) % 30.87/31.07 (assume @p22 @t69) % 30.87/31.07 (assume @p23 (forall @t11 (=> @t10 (or @t56 (and (not @t70) @t64))))) % 30.87/31.07 (assume @p24 (forall @t11 (=> @t10 (=> @t72 (forall @t55 (=> @t17 (and (not (= @t41 @t71)) (tptp.sdtlseqdt0 @t41 @t71) (not (= @t43 @t15)) (tptp.sdtlseqdt0 @t43 @t15)))))))) % 30.87/31.07 (assume @p25 (forall @t19 (=> @t18 (=> (and @t52 (not @t40) @t66) (and (not @t49) (tptp.sdtlseqdt0 @t12 @t39) (not @t48) (tptp.sdtlseqdt0 @t25 @t38)))))) % 30.87/31.07 (assume @p26 (forall @t3 (=> @t2 (or @t51 @t73 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 30.87/31.07 (assume @p27 @t76) % 30.87/31.07 (assume @p28 (forall @t11 (=> @t10 (=> @t77 true)))) % 30.87/31.07 (assume @p29 (forall @t11 (=> @t10 (=> @t72 @t77)))) % 30.87/31.07 (assume @p30 @t84) % 30.87/31.07 (assume @p31 @t91) % 30.87/31.07 (assume @p32 (forall @t19 (=> @t18 (=> (and @t81 (tptp.doDivides0 @t7 @t14)) @t92)))) % 30.87/31.07 (assume @p33 (forall @t19 (=> @t18 (=> (and @t81 @t92) @t93)))) % 30.87/31.07 (assume @p34 (forall @t19 (=> @t18 (=> (and @t81 @t93) @t92)))) % 30.87/31.07 (assume @p35 @t98) % 30.87/31.07 (assume @p36 (forall @t11 (=> @t10 (=> @t88 (forall @t55 (=> @t17 (= (tptp.sdtasdt0 @t14 @t85) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t7) @t1)))))))) % 30.87/31.07 (assume @p37 @t110) % 30.87/31.07 (assume @p38 (forall @t3 (=> (and @t2 @t52 @t105) (exists @t103 (and @t9 @t100 (tptp.isPrime0 @t7)))))) % 30.87/31.07 (assume @p39 (and @t113 @t112 @t111)) % 30.87/31.07 (assume @p40 (forall @t19 (=> @t18 (=> (and (tptp.isPrime0 @t14) (tptp.doDivides0 @t14 @t12)) (=> (tptp.iLess0 @t16 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t14 @t1) (tptp.doDivides0 @t14 @t7))))))) % 30.87/31.07 (assume @p41 (and (tptp.isPrime0 tptp.xp) @t115)) % 30.87/31.07 (assume @p42 (not @t116)) % 30.87/31.07 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 30.87/31.07 (assume @p44 (and (not (= tptp.xn tptp.xp)) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 30.87/31.07 (assume @p45 (= tptp.xk (tptp.sdtsldt0 @t114 tptp.xp))) % 30.87/31.07 (assume @p46 (not (or @t118 @t117))) % 30.87/31.07 (assume @p47 (and (not @t118) (not @t117))) % 30.87/31.07 (assume @p48 (and @t120 (tptp.doDivides0 tptp.xr tptp.xk) @t119)) % 30.87/31.07 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t114))) % 30.87/31.07 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 30.87/31.07 (assume @p51 (or @t121 (tptp.doDivides0 tptp.xr tptp.xm))) % 30.87/31.07 (assume @p52 @t121) % 30.87/31.07 (assume @p53 (and (not (= @t122 tptp.xn)) @t123)) % 30.87/31.07 (assume @p54 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 @t122 tptp.xm))) % 30.87/31.07 (assume @p55 (or @t125 @t124)) % 30.87/31.07 (assume @p56 (not (or @t126 @t124))) % 30.87/31.07 (assume @p57 true) % 30.87/31.07 (step @p58 :rule not_or_elim :premises (@p56) :args (1)) % 30.87/31.07 (step @p59 :rule chain_m_resolution :premises (@p55 @p58) :args (@t125 @t127 (@list @t124))) % 30.87/31.07 (step @p60 :rule eq-symm :args (@t128 @t85)) % 30.87/31.07 (step @p61 :rule refl :args (@t129)) % 30.87/31.07 (step @p62 :rule cong :premises (@p61 @p60) :args (@t130)) % 30.87/31.07 (step @p63 :rule refl :args (@t131)) % 30.87/31.07 (step @p64 :rule refl :args (@t51)) % 30.87/31.07 (step @p65 :rule refl :args (@t132)) % 30.87/31.07 (step @p66 :rule refl :args (@t133)) % 30.87/31.07 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63 @p62) :args (@t134)) % 30.87/31.07 (step @p68 :rule cong :premises (@p67) :args (@t136)) % 30.87/31.07 (step @p69 :rule quant-merge-prenex :args ((= (forall @t11 @t138) @t136))) % 30.87/31.07 (step @p70 :rule alpha_equiv :args (@t139 (@list @t128) @t140)) % 30.87/31.07 (step @p71 :rule refl :args (@t131)) % 30.87/31.07 (step @p72 :rule refl :args (@t51)) % 30.87/31.07 (step @p73 :rule refl :args (@t132)) % 30.87/31.07 (step @p74 :rule refl :args (@t133)) % 30.87/31.07 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70) :args (@t141)) % 30.87/31.07 (step @p76 :rule quant-miniscope-or :args ((= @t138 @t141))) % 30.87/31.07 (step @p77 :rule trans :premises (@p76 @p75)) % 30.87/31.07 (step @p78 :rule symm :premises (@p77)) % 30.87/31.07 (step @p79 :rule cong :premises (@p78) :args ((forall @t11 @t143))) % 30.87/31.07 (step @p80 :rule trans :premises (@p79 @p69)) % 30.87/31.07 (step @p81 :rule trans :premises (@p80 @p68)) % 30.87/31.07 (step @p82 :rule aci_norm :args ((= (or @t145 @t144) @t143))) % 30.87/31.07 (step @p83 :rule aci_norm :args ((= (or (or @t51 @t131) @t142) @t144))) % 30.87/31.07 (step @p84 :rule refl :args (@t142)) % 30.87/31.07 (step @p85 :rule bool-double-not-elim :args (@t51)) % 30.87/31.07 (step @p86 :rule nary_cong :premises (@p85 @p71) :args ((or @t146 @t131))) % 30.87/31.07 (step @p87 :rule bool-and-de-morgan :args (@t52 @t81 true)) % 30.87/31.07 (step @p88 :rule trans :premises (@p87 @p86)) % 30.87/31.07 (step @p89 :rule nary_cong :premises (@p88 @p84) :args ((or (not @t88) @t142))) % 30.87/31.07 (step @p90 :rule trans :premises (@p89 @p83)) % 30.87/31.07 (step @p91 :rule bool-impl-elim :args (@t88 @t142)) % 30.87/31.07 (step @p92 :rule trans :premises (@p91 @p90)) % 30.87/31.07 (step @p93 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 30.87/31.07 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t148 @t147))) % 30.87/31.07 (step @p95 :rule trans :premises (@p94 @p82)) % 30.87/31.07 (step @p96 :rule bool-impl-elim :args (@t10 @t147)) % 30.87/31.07 (step @p97 :rule trans :premises (@p96 @p95)) % 30.87/31.07 (step @p98 :rule cong :premises (@p97) :args ((forall @t11 (=> @t10 @t147)))) % 30.87/31.07 (step @p99 :rule trans :premises (@p98 @p81)) % 30.87/31.07 (step @p100 :rule eq-symm :args (@t86 @t79)) % 30.87/31.07 (step @p101 :rule cong :premises (@p100) :args (@t87)) % 30.87/31.07 (step @p102 :rule refl :args (@t88)) % 30.87/31.07 (step @p103 :rule cong :premises (@p102 @p101) :args (@t89)) % 30.87/31.07 (step @p104 :rule refl :args (@t10)) % 30.87/31.07 (step @p105 :rule cong :premises (@p104 @p103) :args (@t90)) % 30.87/31.07 (step @p106 :rule cong :premises (@p105) :args (@t91)) % 30.87/31.07 (step @p107 :rule trans :premises (@p106 @p99)) % 30.87/31.07 (step @p108 :rule eq_resolve :premises (@p31 @p107)) % 30.87/31.07 (step @p109 :rule refl :args (@t156)) % 30.87/31.07 (step @p110 :rule refl :args (@t157)) % 30.87/31.07 (step @p111 :rule eq-symm :args (tptp.xr tptp.sz00)) % 30.87/31.07 (step @p112 :rule refl :args (@t158)) % 30.87/31.07 (step @p113 :rule refl :args (@t159)) % 30.87/31.07 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109) :args (@t161)) % 30.87/31.07 (step @p115 :rule refl :args (@t162)) % 30.87/31.07 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t162 @t161))) % 30.87/31.07 (assume-push @p786 @t162) % 30.87/31.07 (step @p118 :rule instantiate :premises (@p108) :args ((@list tptp.xr tptp.xn @t151))) % 30.87/31.07 (step-pop @p787 :rule scope :premises (@p118)) % 30.87/31.07 (step @p119 :rule process_scope :premises (@p787) :args (@t161)) % 30.87/31.07 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 30.87/31.07 (step @p122 :rule implies_elim :premises (@p121)) % 30.87/31.07 (step @p123 :rule chain_m_resolution :premises (@p122 @p108) :args (@t164 @t165 @t166)) % 30.87/31.07 (step @p124 :rule bool-impl-elim :args (@t2 @t170)) % 30.87/31.07 (step @p125 :rule cong :premises (@p124) :args ((forall @t3 (=> @t2 @t170)))) % 30.87/31.07 (step @p126 :rule aci_norm :args ((= (or (or @t132 @t168) @t171) @t169))) % 30.87/31.07 (step @p127 :rule refl :args (@t171)) % 30.87/31.07 (step @p128 :rule bool-and-de-morgan :args (@t9 @t100 true)) % 30.87/31.07 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t101) @t171))) % 30.87/31.07 (step @p130 :rule trans :premises (@p129 @p126)) % 30.87/31.07 (step @p131 :rule bool-impl-elim :args (@t101 @t171)) % 30.87/31.07 (step @p132 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% 30.87/31.07 (step @p234 :rule instantiate :premises (@p233) :args ((@list tptp.xr tptp.xn))) % 30.87/31.07 (step @p235 :rule cnf_or_pos :args (@t196)) % 30.87/31.07 (step @p236 :rule reordering :premises (@p235) :args ((or @t158 @t159 @t195 (not @t196)))) % 30.87/31.07 (step @p237 :rule chain_m_resolution :premises (@p236 @p212 @p211 @p234) :args (@t195 @t197 (@list @t113 @t120 @t196))) % 30.87/31.07 (step @p238 :rule cnf_equiv_pos1 :args (@t195)) % 30.87/31.07 (step @p239 :rule reordering :premises (@p238) :args ((or @t157 @t194 (not @t195)))) % 30.87/31.07 (step @p240 :rule chain_m_resolution :premises (@p239 @p52 @p237) :args (@t194 @t185 (@list @t121 @t195))) % 30.87/31.07 (step @p241 :rule skolemize :premises (@p240)) % 30.87/31.07 (step @p242 :rule bool-double-not-elim :args (@t153)) % 30.87/31.07 (step @p243 :rule refl :args (@t200)) % 30.87/31.07 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t200 (not @t198)))) % 30.87/31.07 (step @p245 :rule cnf_or_neg 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30.87/31.07 (assume-push @p804 @t123) % 30.87/31.07 (assume-push @p805 @t152) % 30.87/31.07 (step @p313 :rule true_intro :premises (@p308)) % 30.87/31.07 (step @p314 :rule refl :args (tptp.xn)) % 30.87/31.07 (step @p315 :rule symm :premises (@p803)) % 30.87/31.07 (step @p316 :rule cong :premises (@p315 @p314) :args (@t211)) % 30.87/31.07 (step @p317 :rule trans :premises (@p316 @p313)) % 30.87/31.07 (step @p318 :rule true_elim :premises (@p317)) % 30.87/31.07 (step-pop @p806 :rule scope :premises (@p318)) % 30.87/31.07 (step-pop @p807 :rule scope :premises (@p806)) % 30.87/31.07 (step @p319 :rule process_scope :premises (@p807) :args (@t211)) % 30.87/31.07 (step @p322 :rule and_intro :premises (@p308 @p803)) % 30.87/31.07 (step @p323 :rule modus_ponens :premises (@p322 @p319)) % 30.87/31.07 (step-pop @p808 :rule scope :premises (@p323)) % 30.87/31.07 (step-pop @p809 :rule scope :premises (@p808)) % 30.87/31.07 (step @p324 :rule process_scope :premises (@p809) :args (@t211)) % 30.87/31.07 (step @p327 :rule implies_elim :premises (@p324)) % 30.87/31.07 (step @p328 :rule cnf_and_neg :args (@t212)) % 30.87/31.07 (step @p329 :rule resolution :premises (@p328 @p327) :args (true @t212)) % 30.87/31.07 (step @p330 :rule chain_m_resolution :premises (@p329 @p308 @p260) :args (@t211 @t185 (@list @t123 @t152))) % 30.87/31.07 (step @p331 :rule and_elim :premises (@p39) :args (2)) % 30.87/31.07 (step @p332 :rule cnf_or_pos :args (@t217)) % 30.87/31.07 (step @p333 :rule reordering :premises (@p332) :args ((or @t116 @t158 @t216 @t199 @t215 @t213 (not @t217)))) % 30.87/31.07 (step @p334 :rule chain_m_resolution :premises (@p333 @p42 @p212 @p331 @p254 @p330 @p307) :args (@t215 (@list true false false false false false) (@list @t116 @t113 @t111 @t154 @t211 @t217))) % 30.87/31.07 (step @p335 :rule refl :args (@t220)) % 30.87/31.07 (step @p336 :rule eq-symm :args (@t122 tptp.sz00)) % 30.87/31.07 (step @p337 :rule cong :premises (@p336 @p335) :args ((= @t221 @t220))) % 30.87/31.07 (step @p338 :rule eq-symm :args (@t220 @t221)) % 30.87/31.07 (step @p339 :rule trans :premises (@p338 @p337)) % 30.87/31.07 (step @p340 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p339) :args (@t222)) % 30.87/31.07 (step @p341 :rule cong :premises (@p115 @p340) :args ((=> @t162 @t222))) % 30.87/31.07 (assume-push @p810 @t162) % 30.87/31.07 (step @p343 :rule instantiate :premises (@p108) :args ((@list tptp.xr tptp.xn tptp.sz00))) % 30.87/31.07 (step-pop @p811 :rule scope :premises (@p343)) % 30.87/31.07 (step @p344 :rule process_scope :premises (@p811) :args (@t222)) % 30.87/31.07 (step @p346 :rule eq_resolve :premises (@p344 @p341)) % 30.87/31.07 (step @p347 :rule implies_elim :premises (@p346)) % 30.87/31.07 (step @p348 :rule chain_m_resolution :premises (@p347 @p108) :args (@t225 @t165 @t166)) % 30.87/31.07 (step @p349 :rule cnf_or_pos :args (@t225)) % 30.87/31.07 (step @p350 :rule reordering :premises (@p349) :args ((or @t157 @t158 @t159 @t163 @t224 (not 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:premises (@p533 @p532)) % 30.87/31.07 (step @p535 :rule nary_cong :premises (@p300 @p534) :args ((or @t210 @t46))) % 30.87/31.07 (step @p536 :rule trans :premises (@p535 @p529)) % 30.87/31.07 (step @p537 :rule bool-impl-elim :args (@t18 @t46)) % 30.87/31.07 (step @p538 :rule trans :premises (@p537 @p536)) % 30.87/31.07 (step @p539 :rule cong :premises (@p538) :args (@t47)) % 30.87/31.07 (step @p540 :rule eq_resolve :premises (@p14 @p539)) % 30.87/31.07 (step @p541 :rule instantiate :premises (@p540) :args ((@list tptp.xp tptp.sz00 tptp.xn))) % 30.87/31.07 (step @p542 :rule and_elim :premises (@p41) :args (1)) % 30.87/31.07 (step @p543 :rule not_or_elim :premises (@p56) :args (0)) % 30.87/31.07 (step @p544 :rule refl :args (@t290)) % 30.87/31.07 (step @p545 :rule refl :args (@t292)) % 30.87/31.07 (step @p546 :rule bool-double-not-elim :args (@t126)) % 30.87/31.07 (step @p547 :rule refl :args (@t293)) % 30.87/31.07 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545 @p544) :args ((or @t293 (not @t294) @t292 @t290))) % 30.87/31.07 (assume-push @p818 @t294) % 30.87/31.07 (assume-push @p819 @t291) % 30.87/31.07 (assume-push @p820 @t289) % 30.87/31.07 (assume-push @p821 @t115) % 30.87/31.07 (step @p186 :rule evaluate :args (@t188)) % 30.87/31.07 (step @p553 :rule false_intro :premises (@p543)) % 30.87/31.07 (step @p554 :rule cong :premises (@p455 @p819) :args ((tptp.doDivides0 tptp.xp tptp.sz00))) % 30.87/31.07 (step @p555 :rule symm :premises (@p820)) % 30.87/31.07 (step @p556 :rule cong :premises (@p455 @p555) :args (@t115)) % 30.87/31.07 (step @p557 :rule true_intro :premises (@p542)) % 30.87/31.07 (step @p558 :rule symm :premises (@p557)) % 30.87/31.07 (step @p559 :rule trans :premises (@p558 @p556 @p554 @p553)) % 30.87/31.07 (step @p560 false :rule eq_resolve :premises (@p559 @p186)) % 30.87/31.07 (step-pop @p822 :rule scope :premises (@p560)) % 30.87/31.07 (step-pop @p823 :rule scope :premises (@p822)) % 30.87/31.07 (step-pop @p824 :rule scope :premises (@p823)) % 30.87/31.07 (step-pop @p825 :rule scope :premises (@p824)) % 30.87/31.07 (step @p561 :rule process_scope :premises (@p825) :args (false)) % 30.87/31.07 (assume-push @p826 @t115) % 30.87/31.07 (assume-push @p827 @t294) % 30.87/31.07 (assume-push @p828 @t291) % 30.87/31.07 (assume-push @p829 @t289) % 30.87/31.07 (step @p570 :rule and_intro :premises (@p543 @p828 @p829 @p542)) % 30.87/31.07 (step-pop @p830 :rule scope :premises (@p570)) % 30.87/31.07 (step-pop @p831 :rule scope :premises (@p830)) % 30.87/31.07 (step-pop @p832 :rule scope :premises (@p831)) % 30.87/31.07 (step-pop @p833 :rule scope :premises (@p832)) % 30.87/31.07 (step @p571 :rule process_scope :premises (@p833) :args (@t295)) % 30.87/31.07 (step @p576 :rule implies_elim :premises (@p571)) % 30.87/31.07 (step @p577 :rule resolution :premises (@p576 @p561) :args (true @t295)) % 30.87/31.07 (step @p578 :rule not_and :premises (@p577)) % 30.87/31.07 (step @p579 :rule eq_resolve :premises (@p578 @p548)) % 30.87/31.07 (step @p580 :rule reordering :premises (@p579) :args ((or @t126 @t293 @t292 @t290))) % 30.87/31.07 (step @p581 :rule instantiate :premises (@p505) :args ((@list tptp.xm))) % 30.87/31.07 (step @p582 :rule and_elim :premises (@p39) :args (1)) % 30.87/31.07 (step @p583 :rule cnf_or_pos :args (@t300)) % 30.87/31.07 (step @p584 :rule reordering :premises (@p583) :args ((or @t299 @t298 (not @t300)))) % 30.87/31.07 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p581) :args (@t298 @t185 (@list @t112 @t300))) % 30.87/31.07 (step @p586 :rule cnf_and_pos :args (@t298 1)) % 30.87/31.07 (step @p587 :rule reordering :premises (@p586) :args ((or @t297 (not @t298)))) % 30.87/31.07 (step @p588 :rule chain_m_resolution :premises (@p587 @p585) :args (@t297 @t165 (@list @t298))) % 30.87/31.07 (assume-push @p834 @t291) % 30.87/31.07 (assume-push @p835 @t297) % 30.87/31.07 (assume-push @p836 @t291) % 30.87/31.07 (assume-push @p837 @t297) % 30.87/31.07 (step @p593 :rule refl :args (tptp.xm)) % 30.87/31.07 (step @p594 :rule cong :premises (@p834 @p593) :args (@t296)) % 30.87/31.07 (step @p595 :rule trans :premises (@p588 @p594)) % 30.87/31.07 (step-pop @p838 :rule scope :premises (@p595)) % 30.87/31.07 (step-pop @p839 :rule scope :premises (@p838)) % 30.87/31.07 (step @p596 :rule process_scope :premises (@p839) :args (@t289)) % 30.87/31.07 (step @p599 :rule and_intro :premises (@p834 @p588)) % 30.87/31.07 (step @p600 :rule modus_ponens :premises (@p599 @p596)) % 30.87/31.07 (step-pop @p840 :rule scope :premises (@p600)) % 30.87/31.07 (step-pop @p841 :rule scope :premises (@p840)) % 30.87/31.07 (step @p601 :rule process_scope :premises (@p841) :args (@t289)) % 30.87/31.07 (step @p604 :rule implies_elim :premises (@p601)) % 30.87/31.07 (step @p605 :rule cnf_and_neg :args (@t301)) % 30.87/31.07 (step @p606 :rule resolution :premises (@p605 @p604) :args (true @t301)) % 30.87/31.07 (step @p607 :rule reordering :premises (@p606) :args ((or @t292 @t289 (not @t297)))) % 30.87/31.07 (step @p608 :rule chain_m_resolution :premises (@p607 @p588 @p580 @p543 @p542) :args (@t292 (@list false true true false) (@list @t297 @t289 @t126 @t115))) % 30.87/31.07 (step @p609 :rule cnf_or_pos :args (@t305)) % 30.87/31.07 (step @p610 :rule reordering :premises (@p609) :args ((or @t180 @t158 @t216 @t291 @t304 (not @t305)))) % 30.87/31.07 (step @p611 :rule chain_m_resolution :premises (@p610 @p2 @p212 @p331 @p608 @p541) :args (@t304 @t190 (@list @t4 @t113 @t111 @t291 @t305))) % 30.87/31.07 (step @p612 :rule cnf_and_pos :args (@t304 0)) % 30.87/31.07 (step @p613 :rule reordering :premises (@p612) :args ((or @t303 (not @t304)))) % 30.87/31.07 (step @p614 :rule chain_m_resolution :premises (@p613 @p611) :args (@t303 @t165 (@list @t304))) % 30.87/31.07 (step @p615 :rule refl :args (@t306)) % 30.87/31.07 (step @p616 :rule bool-double-not-elim :args (@t302)) % 30.87/31.07 (step @p617 :rule refl :args (@t270)) % 30.87/31.07 (step @p618 :rule nary_cong :premises (@p617 @p616 @p615) :args ((or @t270 (not @t303) @t306))) % 30.87/31.07 (assume-push @p842 @t243) % 30.87/31.07 (assume-push @p843 @t303) % 30.87/31.07 (assume-push @p844 @t303) % 30.87/31.07 (assume-push @p845 @t243) % 30.87/31.07 (step @p623 :rule false_intro :premises (@p843)) % 30.87/31.07 (step @p624 :rule refl :args (@t280)) % 30.87/31.07 (step @p625 :rule cong :premises (@p478 @p624) :args (@t281)) % 30.87/31.07 (step @p626 :rule trans :premises (@p625 @p623)) % 30.87/31.07 (step @p627 :rule false_elim :premises (@p626)) % 30.87/31.07 (step-pop @p846 :rule scope :premises (@p627)) % 30.87/31.07 (step-pop @p847 :rule scope :premises (@p846)) % 30.87/31.07 (step @p628 :rule process_scope :premises (@p847) :args (@t306)) % 30.87/31.07 (step @p631 :rule and_intro :premises (@p843 @p478)) % 30.87/31.07 (step @p632 :rule modus_ponens :premises (@p631 @p628)) % 30.87/31.07 (step-pop @p848 :rule scope :premises (@p632)) % 30.87/31.07 (step-pop @p849 :rule scope :premises (@p848)) % 30.87/31.07 (step @p633 :rule process_scope :premises (@p849) :args (@t306)) % 30.87/31.07 (step @p636 :rule implies_elim :premises (@p633)) % 30.87/31.07 (step @p637 :rule cnf_and_neg :args (@t307)) % 30.87/31.07 (step @p638 :rule resolution :premises (@p637 @p636) :args (true @t307)) % 30.87/31.07 (step @p639 :rule eq_resolve :premises (@p638 @p618)) % 30.87/31.07 (step @p640 :rule reordering :premises (@p639) :args ((or @t302 @t270 @t306))) % 30.87/31.07 (step @p641 :rule chain_m_resolution :premises (@p640 @p614 @p478) :args (@t306 @t308 (@list @t302 @t243))) % 30.87/31.07 (step @p642 :rule cnf_and_pos :args (@t282 1)) % 30.87/31.07 (step @p643 :rule reordering :premises (@p642) :args ((or @t281 @t309))) % 30.87/31.07 (step @p644 :rule chain_m_resolution :premises (@p643 @p641) :args (@t309 @t127 (@list @t281))) % 30.87/31.07 (step @p645 :rule cnf_equiv_pos2 :args (@t286)) % 30.87/31.07 (step @p646 :rule reordering :premises (@p645) :args ((or @t282 @t310 (not @t286)))) % 30.87/31.07 (step @p647 :rule chain_m_resolution :premises (@p646 @p644 @p528) :args (@t310 @t308 (@list @t282 @t286))) % 30.87/31.07 (step @p648 :rule instantiate :premises (@p447) :args (@t311)) % 30.87/31.07 (step @p649 :rule cnf_or_pos :args (@t314)) % 30.87/31.07 (step @p650 :rule reordering :premises (@p649) :args ((or @t158 @t313 (not @t314)))) % 30.87/31.07 (step @p651 :rule chain_m_resolution :premises (@p650 @p212 @p648) :args (@t313 @t185 (@list @t113 @t314))) % 30.87/31.07 (step @p652 :rule cnf_and_pos :args (@t313 0)) % 30.87/31.07 (step @p653 :rule reordering :premises (@p652) :args ((or @t312 (not @t313)))) % 30.87/31.07 (step @p654 :rule chain_m_resolution :premises (@p653 @p651) :args (@t312 @t165 (@list @t313))) % 30.87/31.07 (step @p655 :rule instantiate :premises (@p505) :args (@t311)) % 30.87/31.07 (step @p656 :rule cnf_or_pos :args (@t317)) % 30.87/31.07 (step @p657 :rule reordering :premises (@p656) :args ((or @t158 @t316 (not @t317)))) % 30.87/31.07 (step @p658 :rule chain_m_resolution :premises (@p657 @p212 @p655) :args (@t316 @t185 (@list @t113 @t317))) % 30.87/31.07 (step @p659 :rule cnf_and_pos :args (@t316 1)) % 30.87/31.07 (step @p660 :rule reordering :premises (@p659) :args ((or @t315 (not @t316)))) % 30.87/31.07 (step @p661 :rule chain_m_resolution :premises (@p660 @p658) :args (@t315 @t165 (@list @t316))) % 30.87/31.07 (step @p662 :rule refl :args (@t318)) % 30.87/31.07 (step @p663 :rule bool-double-not-elim :args (@t285)) % 30.87/31.07 (step @p664 :rule refl :args (@t319)) % 30.87/31.07 (step @p665 :rule refl :args (@t320)) % 30.87/31.07 (step @p666 :rule refl :args (@t321)) % 30.87/31.07 (step @p667 :rule refl :args (@t322)) % 30.87/31.07 (step @p668 :rule refl :args (@t323)) % 30.87/31.07 (step @p669 :rule nary_cong :premises (@p668 @p667 @p666 @p665 @p664 @p663 @p662) :args ((or @t323 @t322 @t321 @t320 @t319 (not @t310) @t318))) % 30.87/31.07 (assume-push @p850 @t315) % 30.87/31.07 (assume-push @p851 @t312) % 30.87/31.07 (assume-push @p852 @t277) % 30.87/31.07 (assume-push @p853 @t274) % 30.87/31.07 (assume-push @p854 @t250) % 30.87/31.07 (assume-push @p855 @t310) % 30.87/31.07 (assume-push @p856 @t312) % 30.87/31.07 (assume-push @p857 @t310) % 30.87/31.07 (assume-push @p858 @t250) % 30.87/31.07 (assume-push @p859 @t315) % 30.87/31.07 (assume-push @p860 @t274) % 30.87/31.07 (assume-push @p861 @t277) % 30.87/31.07 (step @p682 :rule false_intro :premises (@p855)) % 30.87/31.07 (step @p683 :rule symm :premises (@p661)) % 30.87/31.07 (step @p684 :rule symm :premises (@p654)) % 30.87/31.07 (step @p685 :rule refl :args (tptp.sz00)) % 30.87/31.07 (step @p686 :rule cong :premises (@p685 @p684) :args (@t272)) % 30.87/31.07 (step @p687 :rule refl :args (tptp.sz10)) % 30.87/31.07 (step @p688 :rule cong :premises (@p661 @p687) :args (@t324)) % 30.87/31.07 (step @p689 :rule trans :premises (@p688 @p496 @p686 @p683 @p484)) % 30.87/31.07 (step @p690 :rule cong :premises (@p684 @p689) :args ((= @t271 @t324))) % 30.87/31.07 (step @p691 :rule trans :premises (@p690 @p682)) % 30.87/31.07 (step @p692 :rule symm :premises (@p688)) % 30.87/31.07 (step @p693 :rule symm :premises (@p496)) % 30.87/31.07 (step @p694 :rule symm :premises (@p686)) % 30.87/31.07 (step @p695 :rule symm :premises (@p512)) % 30.87/31.07 (step @p696 :rule trans :premises (@p695 @p661 @p694 @p693 @p692)) % 30.87/31.07 (step @p697 :rule cong :premises (@p654 @p696) :args (@t219)) % 30.87/31.07 (step @p698 :rule trans :premises (@p697 @p691)) % 30.87/31.07 (step @p699 :rule false_elim :premises (@p698)) % 30.87/31.07 (step-pop @p862 :rule scope :premises (@p699)) % 30.87/31.07 (step-pop @p863 :rule scope :premises (@p862)) % 30.87/31.07 (step-pop @p864 :rule scope :premises (@p863)) % 30.87/31.07 (step-pop @p865 :rule scope :premises (@p864)) % 30.87/31.07 (step-pop @p866 :rule scope :premises (@p865)) % 30.87/31.07 (step-pop @p867 :rule scope :premises (@p866)) % 30.87/31.07 (step @p700 :rule process_scope :premises (@p867) :args (@t318)) % 30.87/31.07 (step @p707 :rule and_intro :premises (@p654 @p855 @p484 @p661 @p496 @p512)) % 30.87/31.07 (step @p708 :rule modus_ponens :premises (@p707 @p700)) % 30.87/31.07 (step-pop @p868 :rule scope :premises (@p708)) % 30.87/31.07 (step-pop @p869 :rule scope :premises (@p868)) % 30.87/31.07 (step-pop @p870 :rule scope :premises (@p869)) % 30.87/31.07 (step-pop @p871 :rule scope :premises (@p870)) % 30.87/31.07 (step-pop @p872 :rule scope :premises (@p871)) % 30.87/31.07 (step-pop @p873 :rule scope :premises (@p872)) % 30.87/31.07 (step @p709 :rule process_scope :premises (@p873) :args (@t318)) % 30.87/31.07 (step @p716 :rule implies_elim :premises (@p709)) % 30.87/31.07 (step @p717 :rule cnf_and_neg :args (@t325)) % 30.87/31.07 (step @p718 :rule resolution :premises (@p717 @p716) :args (true @t325)) % 30.87/31.07 (step @p719 :rule eq_resolve :premises (@p718 @p669)) % 30.87/31.07 (step @p720 :rule reordering :premises (@p719) :args ((or @t323 @t322 @t285 @t321 @t320 @t319 @t318))) % 30.87/31.07 (step @p721 :rule chain_m_resolution :premises (@p720 @p661 @p654 @p647 @p512 @p496 @p484) :args (@t318 (@list false false true false false false) (@list @t315 @t312 @t285 @t277 @t274 @t250))) % 30.87/31.07 (step @p722 :rule cnf_and_pos :args (@t220 1)) % 30.87/31.07 (step @p723 :rule reordering :premises (@p722) :args ((or @t219 @t326))) % 30.87/31.07 (step @p724 :rule chain_m_resolution :premises (@p723 @p721) :args (@t326 @t127 (@list @t219))) % 30.87/31.07 (step @p725 :rule cnf_equiv_pos1 :args (@t224)) % 30.87/31.07 (step @p726 :rule reordering :premises (@p725) :args ((or @t327 @t220 (not @t224)))) % 30.87/31.07 (step @p727 :rule chain_m_resolution :premises (@p726 @p724 @p351) :args (@t327 @t308 (@list @t220 @t224))) % 30.87/31.07 (step @p728 :rule refl :args (@t329)) % 30.87/31.07 (step @p729 :rule refl :args (@t330)) % 30.87/31.07 (step @p730 :rule bool-double-not-elim :args (@t223)) % 30.87/31.07 (step @p731 :rule nary_cong :premises (@p730 @p729 @p728) :args ((or (not @t327) @t330 @t329))) % 30.87/31.07 (assume-push @p874 @t327) % 30.87/31.07 (assume-push @p875 @t152) % 30.87/31.07 (assume-push @p876 @t327) % 30.87/31.07 (assume-push @p877 @t152) % 30.87/31.07 (step @p736 :rule false_intro :premises (@p874)) % 30.87/31.07 (step @p737 :rule symm :premises (@p875)) % 30.87/31.07 (step @p685 :rule refl :args (tptp.sz00)) % 30.87/31.07 (step @p738 :rule cong :premises (@p685 @p737) :args (@t328)) % 30.87/31.07 (step @p739 :rule trans :premises (@p738 @p736)) % 30.87/31.07 (step @p740 :rule false_elim :premises (@p739)) % 30.87/31.07 (step-pop @p878 :rule scope :premises (@p740)) % 30.87/31.07 (step-pop @p879 :rule scope :premises (@p878)) % 30.87/31.07 (step @p741 :rule process_scope :premises (@p879) :args (@t329)) % 30.87/31.07 (step @p744 :rule and_intro :premises (@p874 @p875)) % 30.87/31.07 (step @p745 :rule modus_ponens :premises (@p744 @p741)) % 30.87/31.07 (step-pop @p880 :rule scope :premises (@p745)) % 30.87/31.07 (step-pop @p881 :rule scope :premises (@p880)) % 30.87/31.07 (step @p746 :rule process_scope :premises (@p881) :args (@t329)) % 30.87/31.07 (step @p749 :rule implies_elim :premises (@p746)) % 30.87/31.07 (step @p750 :rule cnf_and_neg :args (@t331)) % 30.87/31.07 (step @p751 :rule resolution :premises (@p750 @p749) :args (true @t331)) % 30.87/31.07 (step @p752 :rule eq_resolve :premises (@p751 @p731)) % 30.87/31.07 (step @p753 :rule chain_m_resolution :premises (@p752 @p727 @p260) :args (@t329 @t308 (@list @t223 @t152))) % 30.87/31.07 (step @p754 :rule cnf_or_pos :args (@t334)) % 30.87/31.07 (step @p755 :rule reordering :premises (@p754) :args ((or @t216 @t199 @t328 @t214 @t333 (not @t334)))) % 30.87/31.07 (step @p756 :rule chain_m_resolution :premises (@p755 @p331 @p254 @p753 @p334 @p286) :args (@t333 (@list false false true true false) (@list @t111 @t154 @t328 @t214 @t334))) % 30.87/31.07 (step @p757 :rule bool-double-not-elim :args (@t332)) % 30.87/31.07 (step @p758 :rule refl :args (@t335)) % 30.87/31.07 (step @p759 :rule nary_cong :premises (@p758 @p729 @p757) :args ((or @t335 @t330 (not @t333)))) % 30.87/31.07 (assume-push @p882 @t333) % 30.87/31.07 (assume-push @p883 @t152) % 30.87/31.07 (assume-push @p884 @t125) % 30.87/31.07 (step @p186 :rule evaluate :args (@t188)) % 30.87/31.07 (step @p763 :rule false_intro :premises (@p882)) % 30.87/31.07 (step @p764 :rule cong :premises (@p455 @p883) :args (@t125)) % 30.87/31.07 (step @p765 :rule true_intro :premises (@p59)) % 30.87/31.07 (step @p766 :rule symm :premises (@p765)) % 30.87/31.07 (step @p767 :rule trans :premises (@p766 @p764 @p763)) % 30.87/31.07 (step @p768 false :rule eq_resolve :premises (@p767 @p186)) % 30.87/31.07 (step-pop @p885 :rule scope :premises (@p768)) % 30.87/31.07 (step-pop @p886 :rule scope :premises (@p885)) % 30.87/31.07 (step-pop @p887 :rule scope :premises (@p886)) % 30.87/31.07 (step @p769 :rule process_scope :premises (@p887) :args (false)) % 30.87/31.07 (assume-push @p888 @t125) % 30.87/31.07 (assume-push @p889 @t152) % 30.87/31.07 (assume-push @p890 @t333) % 30.87/31.07 (step @p776 :rule and_intro :premises (@p890 @p889 @p59)) % 30.87/31.07 (step-pop @p891 :rule scope :premises (@p776)) % 30.87/31.07 (step-pop @p892 :rule scope :premises (@p891)) % 30.87/31.07 (step-pop @p893 :rule scope :premises (@p892)) % 30.87/31.07 (step @p777 :rule process_scope :premises (@p893) :args (@t336)) % 30.87/31.07 (step @p781 :rule implies_elim :premises (@p777)) % 30.87/31.07 (step @p782 :rule resolution :premises (@p781 @p769) :args (true @t336)) % 30.87/31.07 (step @p783 :rule not_and :premises (@p782)) % 30.87/31.07 (step @p784 :rule eq_resolve :premises (@p783 @p759)) % 30.87/31.07 (step @p785 false :rule chain_m_resolution :premises (@p784 @p756 @p260 @p59) :args (false (@list true false false) (@list @t332 @t152 @t125))) % 30.87/31.07 ) % 30.87/31.07 % SZS output end Proof % 30.87/31.07 % cvc5 exiting %------------------------------------------------------------------------------