%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM511+3 : 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 : n009.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 08:39:40 AM UTC 2026 % Result : Theorem 44.50s 44.77s % Output : Proof 44.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM511+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:25:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 44.50/44.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 44.50/44.77 --- Run --no-e-matching --full-saturate-quant at 6... % 44.50/44.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 44.50/44.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 44.50/44.77 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.50/44.77 % SZS status Theorem % 44.50/44.77 % SZS output start Proof % 44.50/44.77 ( % 44.50/44.77 (declare-sort $$unsorted 0) % 44.50/44.77 (declare-const tptp.xr $$unsorted) % 44.50/44.77 (declare-const tptp.xk $$unsorted) % 44.50/44.77 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 44.50/44.77 (declare-const tptp.xm $$unsorted) % 44.50/44.77 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.50/44.77 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 44.50/44.77 (declare-const tptp.xn $$unsorted) % 44.50/44.77 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 44.50/44.77 (declare-const tptp.sz00 $$unsorted) % 44.50/44.77 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.50/44.77 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.50/44.77 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.50/44.77 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 44.50/44.77 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 44.50/44.77 (declare-const tptp.sz10 $$unsorted) % 44.50/44.77 (declare-const tptp.xp $$unsorted) % 44.50/44.77 (define @t1 () (@var "W0" $$unsorted)) % 44.50/44.77 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 44.50/44.77 (define @t3 () (@list @t1)) % 44.50/44.77 (define @t4 () (@var "W1" $$unsorted)) % 44.50/44.77 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 44.50/44.77 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 44.50/44.77 (define @t7 () (and @t2 @t6)) % 44.50/44.77 (define @t8 () (@list @t1 @t4)) % 44.50/44.77 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 44.50/44.77 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 44.50/44.77 (define @t11 () (forall @t8 (=> @t7 @t10))) % 44.50/44.77 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 44.50/44.77 (define @t13 () (@var "W2" $$unsorted)) % 44.50/44.77 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 44.50/44.77 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 44.50/44.77 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 44.50/44.77 (define @t17 () (and @t2 @t6 @t16)) % 44.50/44.77 (define @t18 () (@list @t1 @t4 @t13)) % 44.50/44.77 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 44.50/44.77 (define @t20 () (= @t9 @t19)) % 44.50/44.77 (define @t21 () (forall @t8 (=> @t7 @t20))) % 44.50/44.77 (define @t22 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 44.50/44.77 (define @t23 () (forall @t18 (=> @t17 @t22))) % 44.50/44.77 (define @t24 () (tptp.sdtasdt0 @t13 @t1)) % 44.50/44.77 (define @t25 () (tptp.sdtasdt0 @t1 @t13)) % 44.50/44.77 (define @t26 () (= @t4 @t13)) % 44.50/44.77 (define @t27 () (tptp.sdtpldt0 @t13 @t1)) % 44.50/44.77 (define @t28 () (tptp.sdtpldt0 @t1 @t13)) % 44.50/44.77 (define @t29 () (= @t19 @t24)) % 44.50/44.77 (define @t30 () (= @t9 @t25)) % 44.50/44.77 (define @t31 () (or @t30 @t29)) % 44.50/44.77 (define @t32 () (=> @t31 @t26)) % 44.50/44.77 (define @t33 () (and @t6 @t16)) % 44.50/44.77 (define @t34 () (@list @t4 @t13)) % 44.50/44.77 (define @t35 () (forall @t34 (=> @t33 @t32))) % 44.50/44.77 (define @t36 () (= @t1 tptp.sz00)) % 44.50/44.77 (define @t37 () (not @t36)) % 44.50/44.77 (define @t38 () (=> @t37 @t35)) % 44.50/44.77 (define @t39 () (=> @t2 @t38)) % 44.50/44.77 (define @t40 () (forall @t3 @t39)) % 44.50/44.77 (define @t41 () (= @t4 tptp.sz00)) % 44.50/44.77 (define @t42 () (and @t16 (= @t28 @t4))) % 44.50/44.77 (define @t43 () (@list @t13)) % 44.50/44.77 (define @t44 () (tptp.sdtlseqdt0 @t1 @t4)) % 44.50/44.77 (define @t45 () (= @t1 @t4)) % 44.50/44.77 (define @t46 () (tptp.sdtlseqdt0 @t4 @t1)) % 44.50/44.77 (define @t47 () (tptp.sdtlseqdt0 @t4 @t13)) % 44.50/44.77 (define @t48 () (= @t4 @t1)) % 44.50/44.77 (define @t49 () (tptp.sdtpldt0 @t13 @t4)) % 44.50/44.77 (define @t50 () (and (not @t45) @t44)) % 44.50/44.77 (define @t51 () (not @t29)) % 44.50/44.77 (define @t52 () (not @t30)) % 44.50/44.77 (define @t53 () (= @t1 tptp.sz10)) % 44.50/44.77 (define @t54 () (tptp.iLess0 @t1 @t4)) % 44.50/44.77 (define @t55 () (and @t16 (= @t4 @t25))) % 44.50/44.77 (define @t56 () (tptp.doDivides0 @t1 @t4)) % 44.50/44.77 (define @t57 () (tptp.sdtsldt0 @t4 @t1)) % 44.50/44.77 (define @t58 () (and @t37 @t56)) % 44.50/44.77 (define @t59 () (tptp.doDivides0 @t1 @t13)) % 44.50/44.77 (define @t60 () (tptp.doDivides0 @t1 @t14)) % 44.50/44.77 (define @t61 () (tptp.doDivides0 @t4 @t1)) % 44.50/44.77 (define @t62 () (@list @t4)) % 44.50/44.77 (define @t63 () (not @t53)) % 44.50/44.77 (define @t64 () (tptp.aNaturalNumber0 tptp.xp)) % 44.50/44.77 (define @t65 () (tptp.aNaturalNumber0 tptp.xm)) % 44.50/44.77 (define @t66 () (tptp.aNaturalNumber0 tptp.xn)) % 44.50/44.77 (define @t67 () (@var "W3" $$unsorted)) % 44.50/44.77 (define @t68 () (tptp.sdtasdt0 @t13 @t67)) % 44.50/44.77 (define @t69 () (tptp.aNaturalNumber0 @t67)) % 44.50/44.77 (define @t70 () (@list @t67)) % 44.50/44.77 (define @t71 () (@var "W4" $$unsorted)) % 44.50/44.77 (define @t72 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 44.50/44.77 (define @t73 () (tptp.sdtasdt0 tptp.xp @t1)) % 44.50/44.77 (define @t74 () (= @t72 @t73)) % 44.50/44.77 (define @t75 () (and @t2 @t74)) % 44.50/44.77 (define @t76 () (exists @t3 @t75)) % 44.50/44.77 (define @t77 () (= tptp.xp tptp.sz00)) % 44.50/44.77 (define @t78 () (tptp.sdtpldt0 tptp.xp @t1)) % 44.50/44.77 (define @t79 () (tptp.sdtsldt0 @t72 tptp.xp)) % 44.50/44.77 (define @t80 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 44.50/44.77 (define @t81 () (= @t72 @t80)) % 44.50/44.77 (define @t82 () (tptp.aNaturalNumber0 tptp.xk)) % 44.50/44.77 (define @t83 () (= tptp.xk tptp.sz10)) % 44.50/44.77 (define @t84 () (= tptp.xk tptp.sz00)) % 44.50/44.77 (define @t85 () (= tptp.xr tptp.sz00)) % 44.50/44.77 (define @t86 () (tptp.sdtasdt0 tptp.xr @t1)) % 44.50/44.77 (define @t87 () (= tptp.xk @t86)) % 44.50/44.77 (define @t88 () (and @t2 @t87)) % 44.50/44.77 (define @t89 () (exists @t3 @t88)) % 44.50/44.77 (define @t90 () (tptp.aNaturalNumber0 tptp.xr)) % 44.50/44.77 (define @t91 () (= tptp.xn @t86)) % 44.50/44.77 (define @t92 () (and @t2 @t91)) % 44.50/44.77 (define @t93 () (exists @t3 @t92)) % 44.50/44.77 (define @t94 () (and @t93 (tptp.doDivides0 tptp.xr tptp.xn))) % 44.50/44.77 (define @t95 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 44.50/44.77 (define @t96 () (tptp.sdtasdt0 tptp.xr @t95)) % 44.50/44.77 (define @t97 () (= tptp.xn @t96)) % 44.50/44.77 (define @t98 () (tptp.aNaturalNumber0 @t95)) % 44.50/44.77 (define @t99 () (and @t98 @t97)) % 44.50/44.77 (define @t100 () (=> @t99 (= @t95 tptp.xn))) % 44.50/44.77 (define @t101 () (not @t100)) % 44.50/44.77 (define @t102 () (tptp.sdtasdt0 @t95 tptp.xm)) % 44.50/44.77 (define @t103 () (tptp.doDivides0 tptp.xp @t102)) % 44.50/44.77 (define @t104 () (and @t2 (= @t102 @t73))) % 44.50/44.77 (define @t105 () (exists @t3 @t104)) % 44.50/44.77 (define @t106 () (or @t105 @t103)) % 44.50/44.77 (define @t107 () (=> @t99 @t106)) % 44.50/44.77 (define @t108 () (not @t107)) % 44.50/44.77 (define @t109 () (not @t87)) % 44.50/44.77 (define @t110 () (not @t2)) % 44.50/44.77 (define @t111 () (or @t110 @t109)) % 44.50/44.77 (define @t112 () (forall @t3 @t111)) % 44.50/44.77 (define @t113 () (forall @t3 (not @t88))) % 44.50/44.77 (define @t114 () (not @t113)) % 44.50/44.77 (define @t115 () (@quantifiers_skolemize (forall @t3 (or @t110 (not (= @t79 @t86)))) 0)) % 44.50/44.77 (define @t116 () (tptp.sdtasdt0 tptp.xr @t115)) % 44.50/44.77 (define @t117 () (= @t79 @t116)) % 44.50/44.77 (define @t118 () (not @t117)) % 44.50/44.77 (define @t119 () (tptp.aNaturalNumber0 @t115)) % 44.50/44.77 (define @t120 () (not @t119)) % 44.50/44.77 (define @t121 () (or @t120 @t118)) % 44.50/44.77 (define @t122 () (@list true)) % 44.50/44.77 (define @t123 () (@list @t121)) % 44.50/44.77 (define @t124 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 44.50/44.77 (define @t125 () (@var "BOUND_VARIABLE_7968" $$unsorted)) % 44.50/44.77 (define @t126 () (= @t125 @t124)) % 44.50/44.77 (define @t127 () (and (not (= (tptp.sdtasdt0 @t1 @t125) (tptp.sdtasdt0 @t1 @t124))) (not (= (tptp.sdtasdt0 @t125 @t1) (tptp.sdtasdt0 @t124 @t1))))) % 44.50/44.77 (define @t128 () (not (tptp.aNaturalNumber0 @t124))) % 44.50/44.77 (define @t129 () (not (tptp.aNaturalNumber0 @t125))) % 44.50/44.77 (define @t130 () (or @t110 @t36 @t129 @t128 @t127 @t126)) % 44.50/44.77 (define @t131 () (or @t129 @t128 @t127 @t126)) % 44.50/44.77 (define @t132 () (or @t110 @t36 @t131)) % 44.50/44.77 (define @t133 () (@list @t1 @t125 @t124)) % 44.50/44.77 (define @t134 () (forall @t133 @t132)) % 44.50/44.77 (define @t135 () (@list @t125 @t124)) % 44.50/44.77 (define @t136 () (forall @t135 @t132)) % 44.50/44.77 (define @t137 () (forall @t135 @t131)) % 44.50/44.77 (define @t138 () (or @t110 @t36 @t137)) % 44.50/44.77 (define @t139 () (and @t52 @t51)) % 44.50/44.77 (define @t140 () (not @t16)) % 44.50/44.77 (define @t141 () (not @t6)) % 44.50/44.77 (define @t142 () (or @t141 @t140 @t139 @t26)) % 44.50/44.77 (define @t143 () (forall @t34 @t142)) % 44.50/44.77 (define @t144 () (or @t110 @t36 @t143)) % 44.50/44.77 (define @t145 () (=> @t37 @t143)) % 44.50/44.77 (define @t146 () (or @t141 @t140)) % 44.50/44.77 (define @t147 () (not @t33)) % 44.50/44.77 (define @t148 () (@quantifiers_skolemize (forall @t3 (or @t110 (not @t74))) 0)) % 44.50/44.77 (define @t149 () (= @t79 @t148)) % 44.50/44.77 (define @t150 () (tptp.sdtasdt0 @t148 tptp.xp)) % 44.50/44.77 (define @t151 () (tptp.sdtasdt0 @t79 tptp.xp)) % 44.50/44.77 (define @t152 () (tptp.sdtasdt0 tptp.xp @t148)) % 44.50/44.77 (define @t153 () (tptp.sdtasdt0 tptp.xp @t79)) % 44.50/44.77 (define @t154 () (= @t153 @t152)) % 44.50/44.77 (define @t155 () (not @t154)) % 44.50/44.77 (define @t156 () (and @t155 (not (= @t151 @t150)))) % 44.50/44.77 (define @t157 () (tptp.aNaturalNumber0 @t148)) % 44.50/44.77 (define @t158 () (not @t157)) % 44.50/44.77 (define @t159 () (tptp.aNaturalNumber0 @t79)) % 44.50/44.77 (define @t160 () (not @t159)) % 44.50/44.77 (define @t161 () (not @t64)) % 44.50/44.77 (define @t162 () (or @t161 @t77 @t160 @t158 @t156 @t149)) % 44.50/44.77 (define @t163 () (forall @t133 @t130)) % 44.50/44.77 (define @t164 () (= tptp.sz00 tptp.xp)) % 44.50/44.77 (define @t165 () (or @t161 @t164 @t160 @t158 @t156 @t149)) % 44.50/44.77 (define @t166 () (@list false)) % 44.50/44.77 (define @t167 () (@list @t163)) % 44.50/44.77 (define @t168 () (forall @t3 (not @t75))) % 44.50/44.77 (define @t169 () (not @t168)) % 44.50/44.77 (define @t170 () (= @t72 @t152)) % 44.50/44.77 (define @t171 () (not @t170)) % 44.50/44.77 (define @t172 () (or @t158 @t171)) % 44.50/44.77 (define @t173 () (@list @t172)) % 44.50/44.77 (define @t174 () (not @t156)) % 44.50/44.77 (define @t175 () (@list true false false false true false)) % 44.50/44.77 (define @t176 () (@quantifiers_skolemize (forall @t3 (or @t110 (not @t91))) 0)) % 44.50/44.77 (define @t177 () (= @t95 @t176)) % 44.50/44.77 (define @t178 () (tptp.sdtasdt0 @t176 tptp.xr)) % 44.50/44.77 (define @t179 () (tptp.sdtasdt0 @t95 tptp.xr)) % 44.50/44.77 (define @t180 () (tptp.sdtasdt0 tptp.xr @t176)) % 44.50/44.77 (define @t181 () (= @t96 @t180)) % 44.50/44.77 (define @t182 () (not @t181)) % 44.50/44.77 (define @t183 () (and @t182 (not (= @t179 @t178)))) % 44.50/44.77 (define @t184 () (tptp.aNaturalNumber0 @t176)) % 44.50/44.77 (define @t185 () (not @t184)) % 44.50/44.77 (define @t186 () (not @t98)) % 44.50/44.77 (define @t187 () (not @t90)) % 44.50/44.77 (define @t188 () (or @t187 @t85 @t186 @t185 @t183 @t177)) % 44.50/44.77 (define @t189 () (= tptp.sz00 tptp.xr)) % 44.50/44.77 (define @t190 () (or @t187 @t189 @t186 @t185 @t183 @t177)) % 44.50/44.77 (define @t191 () (forall @t3 (not @t92))) % 44.50/44.77 (define @t192 () (not @t191)) % 44.50/44.77 (define @t193 () (= tptp.xn @t180)) % 44.50/44.77 (define @t194 () (not @t193)) % 44.50/44.77 (define @t195 () (or @t185 @t194)) % 44.50/44.77 (define @t196 () (@list @t195)) % 44.50/44.77 (define @t197 () (not @t183)) % 44.50/44.77 (define @t198 () (or @t110 @t141 @t20)) % 44.50/44.77 (define @t199 () (or @t110 @t141)) % 44.50/44.77 (define @t200 () (not @t7)) % 44.50/44.77 (define @t201 () (= @t96 @t179)) % 44.50/44.77 (define @t202 () (or @t187 @t186 @t201)) % 44.50/44.77 (define @t203 () (@list false false false)) % 44.50/44.77 (define @t204 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 44.50/44.77 (define @t205 () (= @t72 @t204)) % 44.50/44.77 (define @t206 () (not @t65)) % 44.50/44.77 (define @t207 () (not @t66)) % 44.50/44.77 (define @t208 () (or @t207 @t206 @t205)) % 44.50/44.77 (define @t209 () (@list @t66 @t65 @t208)) % 44.50/44.77 (define @t210 () (= @t153 @t151)) % 44.50/44.77 (define @t211 () (or @t161 @t160 @t210)) % 44.50/44.77 (define @t212 () (tptp.sdtasdt0 tptp.xm @t95)) % 44.50/44.77 (define @t213 () (or @t206 @t186 (= @t212 @t102))) % 44.50/44.77 (define @t214 () (forall @t8 @t198)) % 44.50/44.77 (define @t215 () (= @t102 @t212)) % 44.50/44.77 (define @t216 () (or @t206 @t186 @t215)) % 44.50/44.77 (define @t217 () (@list @t214)) % 44.50/44.77 (define @t218 () (or @t110 @t141 @t140)) % 44.50/44.77 (define @t219 () (tptp.sdtasdt0 @t115 tptp.xp)) % 44.50/44.77 (define @t220 () (tptp.sdtasdt0 tptp.xr @t219)) % 44.50/44.77 (define @t221 () (tptp.sdtasdt0 @t116 tptp.xp)) % 44.50/44.77 (define @t222 () (= @t221 @t220)) % 44.50/44.77 (define @t223 () (or @t187 @t120 @t161 @t222)) % 44.50/44.77 (define @t224 () (@list false false false false)) % 44.50/44.77 (define @t225 () (tptp.sdtasdt0 tptp.xm @t176)) % 44.50/44.77 (define @t226 () (tptp.sdtasdt0 @t225 tptp.xr)) % 44.50/44.77 (define @t227 () (= @t226 (tptp.sdtasdt0 tptp.xm @t178))) % 44.50/44.77 (define @t228 () (or @t206 @t185 @t187 @t227)) % 44.50/44.77 (define @t229 () (@list tptp.xp @t115)) % 44.50/44.77 (define @t230 () (tptp.sdtasdt0 tptp.xp @t115)) % 44.50/44.77 (define @t231 () (= @t230 @t219)) % 44.50/44.77 (define @t232 () (or @t161 @t120 @t231)) % 44.50/44.77 (define @t233 () (tptp.sdtasdt0 @t219 tptp.xr)) % 44.50/44.77 (define @t234 () (tptp.aNaturalNumber0 @t219)) % 44.50/44.77 (define @t235 () (not @t234)) % 44.50/44.77 (define @t236 () (or @t235 @t187 (= @t233 @t220))) % 44.50/44.77 (define @t237 () (= @t220 @t233)) % 44.50/44.77 (define @t238 () (or @t235 @t187 @t237)) % 44.50/44.77 (define @t239 () (or @t120 @t161 @t234)) % 44.50/44.77 (define @t240 () (tptp.sdtasdt0 @t230 tptp.xr)) % 44.50/44.77 (define @t241 () (= @t240 (tptp.sdtasdt0 @t102 tptp.xr))) % 44.50/44.77 (define @t242 () (not @t241)) % 44.50/44.77 (define @t243 () (and (not (= (tptp.sdtasdt0 tptp.xr @t230) (tptp.sdtasdt0 tptp.xr @t102))) @t242)) % 44.50/44.77 (define @t244 () (tptp.aNaturalNumber0 @t102)) % 44.50/44.77 (define @t245 () (not @t244)) % 44.50/44.77 (define @t246 () (tptp.aNaturalNumber0 @t230)) % 44.50/44.77 (define @t247 () (not @t246)) % 44.50/44.77 (define @t248 () (= @t230 @t102)) % 44.50/44.77 (define @t249 () (or @t187 @t85 @t247 @t245 @t243 @t248)) % 44.50/44.77 (define @t250 () (= @t102 @t230)) % 44.50/44.77 (define @t251 () (or @t187 @t189 @t247 @t245 @t243 @t250)) % 44.50/44.77 (define @t252 () (or @t161 @t120 @t246)) % 44.50/44.77 (define @t253 () (or @t186 @t206 @t244)) % 44.50/44.77 (define @t254 () (= @t73 @t102)) % 44.50/44.77 (define @t255 () (and @t2 @t254)) % 44.50/44.77 (define @t256 () (forall @t3 (not @t255))) % 44.50/44.77 (define @t257 () (not @t256)) % 44.50/44.77 (define @t258 () (not @t248)) % 44.50/44.77 (define @t259 () (or @t120 @t258)) % 44.50/44.77 (define @t260 () (forall @t3 (or @t110 (not @t254)))) % 44.50/44.77 (define @t261 () (not @t250)) % 44.50/44.77 (define @t262 () (or @t120 @t261)) % 44.50/44.77 (define @t263 () (not @t237)) % 44.50/44.77 (define @t264 () (not @t231)) % 44.50/44.77 (define @t265 () (not @t227)) % 44.50/44.77 (define @t266 () (not @t222)) % 44.50/44.77 (define @t267 () (not @t215)) % 44.50/44.77 (define @t268 () (not @t210)) % 44.50/44.77 (define @t269 () (not @t205)) % 44.50/44.77 (define @t270 () (not @t201)) % 44.50/44.77 (define @t271 () (not @t177)) % 44.50/44.77 (define @t272 () (not @t149)) % 44.50/44.77 (define @t273 () (= @t72 @t153)) % 44.50/44.77 (define @t274 () (not @t273)) % 44.50/44.77 (define @t275 () (not @t97)) % 44.50/44.77 (define @t276 () (and @t242 @t241)) % 44.50/44.77 (assume @p1 (forall @t3 (=> @t2 true))) % 44.50/44.77 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 44.50/44.77 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 44.50/44.77 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 44.50/44.77 (assume @p5 @t11) % 44.50/44.77 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 44.50/44.77 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 44.50/44.77 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 44.50/44.77 (assume @p9 @t21) % 44.50/44.77 (assume @p10 @t23) % 44.50/44.77 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 44.50/44.77 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 44.50/44.77 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 44.50/44.77 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 44.50/44.77 (assume @p15 @t40) % 44.50/44.77 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t36 @t41))))) % 44.50/44.77 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t36 @t41))))) % 44.50/44.77 (assume @p18 (forall @t8 (=> @t7 (= @t44 (exists @t43 @t42))))) % 44.50/44.77 (assume @p19 (forall @t8 (=> @t7 (=> @t44 (forall @t43 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t42)))))) % 44.50/44.77 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 44.50/44.77 (assume @p21 (forall @t8 (=> @t7 (=> (and @t44 @t46) @t45)))) % 44.50/44.77 (assume @p22 (forall @t18 (=> @t17 (=> (and @t44 @t47) (tptp.sdtlseqdt0 @t1 @t13))))) % 44.50/44.77 (assume @p23 (forall @t8 (=> @t7 (or @t44 (and (not @t48) @t46))))) % 44.50/44.77 (assume @p24 (forall @t8 (=> @t7 (=> @t50 (forall @t43 (=> @t16 (and (not (= @t27 @t49)) (tptp.sdtlseqdt0 @t27 @t49) (not (= @t28 @t14)) (tptp.sdtlseqdt0 @t28 @t14)))))))) % 44.50/44.77 (assume @p25 (forall @t18 (=> @t17 (=> (and @t37 (not @t26) @t47) (and @t52 (tptp.sdtlseqdt0 @t9 @t25) @t51 (tptp.sdtlseqdt0 @t19 @t24)))))) % 44.50/44.77 (assume @p26 (forall @t3 (=> @t2 (or @t36 @t53 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 44.50/44.77 (assume @p27 (forall @t8 (=> @t7 (=> @t37 (tptp.sdtlseqdt0 @t4 @t19))))) % 44.50/44.77 (assume @p28 (forall @t8 (=> @t7 (=> @t54 true)))) % 44.50/44.77 (assume @p29 (forall @t8 (=> @t7 (=> @t50 @t54)))) % 44.50/44.77 (assume @p30 (forall @t8 (=> @t7 (= @t56 (exists @t43 @t55))))) % 44.50/44.77 (assume @p31 (forall @t8 (=> @t7 (=> @t58 (forall @t43 (= (= @t13 @t57) @t55)))))) % 44.50/44.77 (assume @p32 (forall @t18 (=> @t17 (=> (and @t56 (tptp.doDivides0 @t4 @t13)) @t59)))) % 44.50/44.77 (assume @p33 (forall @t18 (=> @t17 (=> (and @t56 @t59) @t60)))) % 44.50/44.77 (assume @p34 (forall @t18 (=> @t17 (=> (and @t56 @t60) @t59)))) % 44.50/44.77 (assume @p35 (forall @t8 (=> @t7 (=> (and @t56 (not @t41)) @t44)))) % 44.50/44.77 (assume @p36 (forall @t8 (=> @t7 (=> @t58 (forall @t43 (=> @t16 (= (tptp.sdtasdt0 @t13 @t57) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 44.50/44.77 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t37 @t63 (forall @t62 (=> (and @t6 @t61) (or (= @t4 tptp.sz10) @t48)))))))) % 44.50/44.77 (assume @p38 (forall @t3 (=> (and @t2 @t37 @t63) (exists @t62 (and @t6 @t61 (tptp.isPrime0 @t4)))))) % 44.50/44.77 (assume @p39 (and @t66 @t65 @t64)) % 44.50/44.77 (assume @p40 (forall @t18 (=> @t17 (=> (and (or (and (not (= @t13 tptp.sz00)) (not (= @t13 tptp.sz10)) (forall @t70 (=> (and @t69 (exists (@list @t71) (and (tptp.aNaturalNumber0 @t71) (= @t13 (tptp.sdtasdt0 @t67 @t71)))) (tptp.doDivides0 @t67 @t13)) (or (= @t67 tptp.sz10) (= @t67 @t13))))) (tptp.isPrime0 @t13)) (or (exists @t70 (and @t69 (= @t9 @t68))) (tptp.doDivides0 @t13 @t9))) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t70 (and @t69 (= @t1 @t68))) (tptp.doDivides0 @t13 @t1)) (and (exists @t70 (and @t69 (= @t4 @t68))) (tptp.doDivides0 @t13 @t4)))))))) % 44.50/44.77 (assume @p41 (and (not @t77) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t62 (and @t6 (= tptp.xp @t9))) (tptp.doDivides0 @t1 tptp.xp))) (or @t53 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) @t76 (tptp.doDivides0 tptp.xp @t72))) % 44.50/44.77 (assume @p42 (not (or (exists @t3 (and @t2 (= @t78 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 44.50/44.77 (assume @p43 (not (or (exists @t3 (and @t2 (= @t78 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 44.50/44.77 (assume @p44 (and (not (= tptp.xn tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xn @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 44.50/44.77 (assume @p45 (and @t82 @t81 (= tptp.xk @t79))) % 44.50/44.77 (assume @p46 (not (or @t84 @t83))) % 44.50/44.77 (assume @p47 (and (not @t84) (not @t83))) % 44.50/44.77 (assume @p48 (and @t90 @t89 (tptp.doDivides0 tptp.xr tptp.xk) (not @t85) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t62 (and @t6 (= tptp.xr @t9))) (tptp.doDivides0 @t1 tptp.xr))) (or @t53 (= @t1 tptp.xr)))) (tptp.isPrime0 tptp.xr))) % 44.50/44.77 (assume @p49 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xk))) (exists @t3 (and @t2 (= @t72 @t86))) (tptp.doDivides0 tptp.xr @t72))) % 44.50/44.77 (assume @p50 (and (not (= tptp.xk tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xk @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 44.50/44.77 (assume @p51 (or @t94 (and (exists @t3 (and @t2 (= tptp.xm @t86))) (tptp.doDivides0 tptp.xr tptp.xm)))) % 44.50/44.77 (assume @p52 @t94) % 44.50/44.77 (assume @p53 (and @t101 @t98 @t97 (exists @t3 (and @t2 (= (tptp.sdtpldt0 @t95 @t1) tptp.xn))) (tptp.sdtlseqdt0 @t95 tptp.xn))) % 44.50/44.77 (assume @p54 @t108) % 44.50/44.77 (assume @p55 true) % 44.50/44.77 (step @p56 :rule and_elim :premises (@p45) :args (2)) % 44.50/44.77 (step @p57 :rule refl :args (tptp.xp)) % 44.50/44.77 (step @p58 :rule cong :premises (@p57 @p56) :args (@t80)) % 44.50/44.77 (step @p59 :rule refl :args (@t72)) % 44.50/44.77 (step @p60 :rule cong :premises (@p59 @p58) :args (@t81)) % 44.50/44.77 (step @p61 :rule and_elim :premises (@p45) :args (1)) % 44.50/44.77 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 44.50/44.77 (step @p63 :rule eq-symm :args (@t95 tptp.xn)) % 44.50/44.77 (step @p64 :rule refl :args (@t99)) % 44.50/44.77 (step @p65 :rule cong :premises (@p64 @p63) :args (@t100)) % 44.50/44.77 (step @p66 :rule cong :premises (@p65) :args (@t101)) % 44.50/44.77 (step @p67 :rule and_elim :premises (@p53) :args (0)) % 44.50/44.77 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 44.50/44.77 (step @p69 :rule not_implies_elim1 :premises (@p68)) % 44.50/44.77 (step @p70 :rule and_elim :premises (@p69) :args (1)) % 44.50/44.77 (step @p71 :rule refl :args (@t86)) % 44.50/44.77 (step @p72 :rule cong :premises (@p56 @p71) :args (@t87)) % 44.50/44.77 (step @p73 :rule cong :premises (@p72) :args (@t109)) % 44.50/44.77 (step @p74 :rule refl :args (@t110)) % 44.50/44.77 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t111)) % 44.50/44.77 (step @p76 :rule cong :premises (@p75) :args (@t112)) % 44.50/44.77 (step @p77 :rule cong :premises (@p76) :args ((not @t112))) % 44.50/44.77 (step @p78 :rule bool-and-de-morgan :args (@t2 @t87 true)) % 44.50/44.77 (step @p79 :rule cong :premises (@p78) :args (@t113)) % 44.50/44.77 (step @p80 :rule cong :premises (@p79) :args (@t114)) % 44.50/44.77 (step @p81 :rule exists-elim :args ((= @t89 @t114))) % 44.50/44.77 (step @p82 :rule trans :premises (@p81 @p80)) % 44.50/44.77 (step @p83 :rule trans :premises (@p82 @p77)) % 44.50/44.77 (step @p84 :rule and_elim :premises (@p48) :args (1)) % 44.50/44.77 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 44.50/44.77 (step @p86 :rule skolemize :premises (@p85)) % 44.50/44.77 (step @p87 :rule bool-double-not-elim :args (@t117)) % 44.50/44.77 (step @p88 :rule refl :args (@t121)) % 44.50/44.77 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t121 (not @t118)))) % 44.50/44.77 (step @p90 :rule cnf_or_neg :args (@t121 1)) % 44.50/44.77 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 44.50/44.77 (step @p92 :rule reordering :premises (@p91) :args ((or @t117 @t121))) % 44.50/44.77 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t117 @t122 @t123)) % 44.50/44.77 (step @p94 :rule aci_norm :args ((= @t132 @t130))) % 44.50/44.77 (step @p95 :rule cong :premises (@p94) :args (@t134)) % 44.50/44.77 (step @p96 :rule quant-merge-prenex :args ((= (forall @t3 @t136) @t134))) % 44.50/44.77 (step @p97 :rule alpha_equiv :args (@t137 (@list @t125 @t124) (@list @t4 @t13))) % 44.50/44.77 (step @p98 :rule refl :args (@t36)) % 44.50/44.77 (step @p99 :rule refl :args (@t110)) % 44.50/44.77 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t138)) % 44.50/44.77 (step @p101 :rule quant-miniscope-or :args ((= @t136 @t138))) % 44.50/44.77 (step @p102 :rule trans :premises (@p101 @p100)) % 44.50/44.77 (step @p103 :rule symm :premises (@p102)) % 44.50/44.77 (step @p104 :rule cong :premises (@p103) :args ((forall @t3 @t144))) % 44.50/44.77 (step @p105 :rule trans :premises (@p104 @p96)) % 44.50/44.77 (step @p106 :rule trans :premises (@p105 @p95)) % 44.50/44.77 (step @p107 :rule aci_norm :args ((= (or @t110 (or @t36 @t143)) @t144))) % 44.50/44.77 (step @p108 :rule refl :args (@t143)) % 44.50/44.77 (step @p109 :rule bool-double-not-elim :args (@t36)) % 44.50/44.77 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t37) @t143))) % 44.50/44.77 (step @p111 :rule bool-impl-elim :args (@t37 @t143)) % 44.50/44.77 (step @p112 :rule trans :premises (@p111 @p110)) % 44.50/44.77 (step @p113 :rule nary_cong :premises (@p99 @p112) :args ((or @t110 @t145))) % 44.50/44.77 (step @p114 :rule trans :premises (@p113 @p107)) % 44.50/44.77 (step @p115 :rule bool-impl-elim :args (@t2 @t145)) % 44.50/44.77 (step @p116 :rule trans :premises (@p115 @p114)) % 44.50/44.77 (step @p117 :rule cong :premises (@p116) :args ((forall @t3 (=> @t2 @t145)))) % 44.50/44.77 (step @p118 :rule trans :premises (@p117 @p106)) % 44.50/44.77 (step @p119 :rule aci_norm :args ((= (or @t146 (or @t139 @t26)) @t142))) % 44.50/44.77 (step @p120 :rule refl :args (@t26)) % 44.50/44.77 (step @p121 :rule bool-or-de-morgan :args (@t30 @t29 false)) % 44.50/44.77 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t31) @t26))) % 44.50/44.77 (step @p123 :rule bool-impl-elim :args (@t31 @t26)) % 44.50/44.77 (step @p124 :rule trans :premises (@p123 @p122)) % 44.50/44.77 (step @p125 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 44.50/44.77 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t147 @t32))) % 44.50/44.77 (step @p127 :rule trans :premises (@p126 @p119)) % 44.50/44.77 (step @p128 :rule bool-impl-elim :args (@t33 @t32)) % 44.50/44.77 (step @p129 :rule trans :premises (@p128 @p127)) % 44.50/44.77 (step @p130 :rule cong :premises (@p129) :args (@t35)) % 44.50/44.77 (step @p131 :rule refl :args (@t37)) % 44.50/44.77 (step @p132 :rule cong :premises (@p131 @p130) :args (@t38)) % 44.50/44.77 (step @p133 :rule refl :args (@t2)) % 44.50/44.77 (step @p134 :rule cong :premises (@p133 @p132) :args (@t39)) % 44.50/44.77 (step @p135 :rule cong :premises (@p134) :args (@t40)) % 44.50/44.77 (step @p136 :rule trans :premises (@p135 @p118)) % 44.50/44.77 (step @p137 :rule eq_resolve :premises (@p15 @p136)) % 44.50/44.77 (step @p138 :rule refl :args (@t149)) % 44.50/44.77 (step @p139 :rule refl :args (@t156)) % 44.50/44.77 (step @p140 :rule refl :args (@t158)) % 44.50/44.77 (step @p141 :rule refl :args (@t160)) % 44.50/44.77 (step @p142 :rule eq-symm :args (tptp.xp tptp.sz00)) % 44.50/44.77 (step @p143 :rule refl :args (@t161)) % 44.50/44.77 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139 @p138) :args (@t162)) % 44.50/44.77 (step @p145 :rule refl :args (@t163)) % 44.50/44.77 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t163 @t162))) % 44.50/44.77 (assume-push @p477 @t163) % 44.50/44.77 (step @p148 :rule instantiate :premises (@p137) :args ((@list tptp.xp @t79 @t148))) % 44.50/44.77 (step-pop @p478 :rule scope :premises (@p148)) % 44.50/44.77 (step @p149 :rule process_scope :premises (@p478) :args (@t162)) % 44.50/44.77 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 44.50/44.77 (step @p152 :rule implies_elim :premises (@p151)) % 44.50/44.77 (step @p153 :rule chain_m_resolution :premises (@p152 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44.50/44.77 (step @p357 :rule exists-elim :args ((= (exists @t3 @t255) @t257))) % 44.50/44.77 (step @p358 :rule trans :premises (@p357 @p356)) % 44.50/44.77 (step @p359 :rule eq-symm :args (@t102 @t73)) % 44.50/44.77 (step @p360 :rule nary_cong :premises (@p133 @p359) :args (@t104)) % 44.50/44.77 (step @p361 :rule cong :premises (@p360) :args (@t105)) % 44.50/44.77 (step @p362 :rule trans :premises (@p361 @p358)) % 44.50/44.77 (step @p363 :rule nary_cong :premises (@p362 @p353) :args (@t106)) % 44.50/44.77 (step @p364 :rule cong :premises (@p64 @p363) :args (@t107)) % 44.50/44.77 (step @p365 :rule cong :premises (@p364) :args (@t108)) % 44.50/44.77 (step @p366 :rule eq_resolve :premises (@p54 @p365)) % 44.50/44.77 (step @p367 :rule not_implies_elim2 :premises (@p366)) % 44.50/44.77 (step @p368 :rule not_or_elim :premises (@p367) :args (0)) % 44.50/44.77 (step @p369 :rule not_not_elim :premises (@p368)) % 44.50/44.77 (step @p370 :rule cong :premises (@p332) :args (@t258)) % 44.50/44.77 (step @p371 :rule refl :args (@t120)) % 44.50/44.77 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (@t259)) % 44.50/44.77 (step @p373 :rule refl :args (@t260)) % 44.50/44.77 (step @p374 :rule cong :premises (@p373 @p372) :args ((=> @t260 @t259))) % 44.50/44.77 (assume-push @p487 @t260) % 44.50/44.77 (step @p376 :rule instantiate :premises (@p369) :args ((@list @t115))) % 44.50/44.77 (step-pop @p488 :rule scope :premises (@p376)) % 44.50/44.77 (step @p377 :rule process_scope :premises (@p488) :args (@t259)) % 44.50/44.77 (step @p379 :rule eq_resolve :premises (@p377 @p374)) % 44.50/44.77 (step @p380 :rule implies_elim :premises (@p379)) % 44.50/44.77 (step @p381 :rule chain_m_resolution :premises (@p380 @p369) :args (@t262 @t166 (@list @t260))) % 44.50/44.77 (step @p382 :rule cnf_or_pos :args (@t262)) % 44.50/44.77 (step @p383 :rule reordering :premises (@p382) :args ((or @t120 @t261 (not @t262)))) % 44.50/44.77 (step @p384 :rule chain_m_resolution :premises (@p383 @p294 @p381) :args (@t261 (@list false false) (@list @t119 @t262))) % 44.50/44.77 (step @p385 :rule cnf_or_pos :args (@t251)) % 44.50/44.77 (step @p386 :rule reordering :premises (@p385) :args ((or @t189 @t187 @t250 @t245 @t247 @t243 (not @t251)))) % 44.50/44.77 (step @p387 :rule chain_m_resolution :premises (@p386 @p233 @p231 @p384 @p352 @p348 @p344) :args (@t243 (@list true false true false false false) (@list @t189 @t90 @t250 @t244 @t246 @t251))) % 44.50/44.77 (step @p388 :rule cnf_and_pos :args (@t243 1)) % 44.50/44.77 (step @p389 :rule reordering :premises (@p388) :args ((or @t242 (not @t243)))) % 44.50/44.77 (step @p390 :rule chain_m_resolution :premises (@p389 @p387) :args (@t242 @t166 (@list @t243))) % 44.50/44.77 (step @p391 :rule bool-double-not-elim :args (@t241)) % 44.50/44.77 (step @p392 :rule refl :args (@t263)) % 44.50/44.77 (step @p393 :rule refl :args (@t264)) % 44.50/44.77 (step @p394 :rule refl :args (@t265)) % 44.50/44.77 (step @p395 :rule refl :args (@t266)) % 44.50/44.77 (step @p396 :rule refl :args (@t267)) % 44.50/44.77 (step @p397 :rule refl :args (@t268)) % 44.50/44.77 (step @p398 :rule refl :args (@t269)) % 44.50/44.77 (step @p399 :rule refl :args (@t270)) % 44.50/44.77 (step @p400 :rule refl :args (@t271)) % 44.50/44.77 (step @p401 :rule refl :args (@t272)) % 44.50/44.77 (step @p402 :rule refl :args (@t118)) % 44.50/44.77 (step @p403 :rule refl :args (@t274)) % 44.50/44.77 (step @p404 :rule refl :args (@t275)) % 44.50/44.77 (step @p405 :rule nary_cong :premises (@p404 @p403 @p402 @p401 @p400 @p399 @p398 @p397 @p396 @p395 @p394 @p393 @p392 @p391) :args ((or @t275 @t274 @t118 @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 (not @t242)))) % 44.50/44.77 (assume-push @p489 @t242) % 44.50/44.77 (assume-push @p490 @t241) % 44.50/44.77 (step @p408 :rule evaluate :args ((= true false))) % 44.50/44.77 (step @p409 :rule false_intro :premises (@p390)) % 44.50/44.77 (step @p410 :rule refl :args (tptp.xr)) % 44.50/44.77 (step @p411 :rule symm :premises (@p274)) % 44.50/44.77 (step @p412 :rule symm :premises (@p236)) % 44.50/44.77 (step @p413 :rule refl :args (tptp.xm)) % 44.50/44.77 (step @p414 :rule cong :premises (@p413 @p412) :args (@t225)) % 44.50/44.77 (step @p415 :rule trans :premises (@p414 @p411)) % 44.50/44.77 (step @p416 :rule cong :premises (@p415 @p410) :args (@t226)) % 44.50/44.77 (step @p417 :rule symm :premises (@p301)) % 44.50/44.77 (step @p418 :rule cong :premises (@p236 @p410) :args (@t179)) % 44.50/44.77 (step @p419 :rule trans :premises (@p70 @p249 @p418)) % 44.50/44.77 (step @p420 :rule cong :premises (@p413 @p419) :args (@t204)) % 44.50/44.77 (step @p421 :rule chain_m_resolution :premises (@p254 @p252 @p251 @p250) :args (@t205 @t203 @t209)) % 44.50/44.77 (step @p422 :rule symm :premises (@p62)) % 44.50/44.77 (step @p423 :rule symm :premises (@p259)) % 44.50/44.77 (step @p424 :rule symm :premises (@p188)) % 44.50/44.77 (step @p425 :rule cong :premises (@p424 @p57) :args (@t150)) % 44.50/44.77 (step @p426 :rule symm :premises (@p93)) % 44.50/44.77 (step @p427 :rule trans :premises (@p426 @p188)) % 44.50/44.77 (step @p428 :rule cong :premises (@p427 @p57) :args (@t221)) % 44.50/44.77 (step @p429 :rule symm :premises (@p297)) % 44.50/44.77 (step @p430 :rule symm :premises (@p331)) % 44.50/44.77 (step @p431 :rule cong :premises (@p305 @p410) :args (@t240)) % 44.50/44.77 (step @p432 :rule trans :premises (@p431 @p430 @p429 @p428 @p425 @p423 @p422 @p421 @p420 @p417 @p416)) % 44.50/44.77 (step @p433 :rule true_intro :premises (@p432)) % 44.50/44.77 (step @p434 :rule symm :premises (@p433)) % 44.50/44.77 (step @p435 :rule trans :premises (@p434 @p409)) % 44.50/44.77 (step @p436 false :rule eq_resolve :premises (@p435 @p408)) % 44.50/44.77 (step-pop @p491 :rule scope :premises (@p436)) % 44.50/44.77 (step-pop @p492 :rule scope :premises (@p491)) % 44.50/44.77 (step @p437 :rule process_scope :premises (@p492) :args (false)) % 44.50/44.77 (assume-push @p493 @t97) % 44.50/44.77 (assume-push @p494 @t273) % 44.50/44.77 (assume-push @p495 @t117) % 44.50/44.78 (assume-push @p496 @t149) % 44.50/44.78 (assume-push @p497 @t177) % 44.50/44.78 (assume-push @p498 @t201) % 44.50/44.78 (assume-push @p499 @t205) % 44.50/44.78 (assume-push @p500 @t210) % 44.50/44.78 (assume-push @p501 @t215) % 44.50/44.78 (assume-push @p502 @t222) % 44.50/44.78 (assume-push @p503 @t227) % 44.50/44.78 (assume-push @p504 @t231) % 44.50/44.78 (assume-push @p505 @t237) % 44.50/44.78 (assume-push @p506 @t242) % 44.50/44.78 (step @p410 :rule refl :args (tptp.xr)) % 44.50/44.78 (step @p411 :rule symm :premises (@p274)) % 44.50/44.78 (step @p412 :rule symm :premises (@p236)) % 44.50/44.78 (step @p413 :rule refl :args (tptp.xm)) % 44.50/44.78 (step @p414 :rule cong :premises (@p413 @p412) :args (@t225)) % 44.50/44.78 (step @p415 :rule trans :premises (@p414 @p411)) % 44.50/44.78 (step @p416 :rule cong :premises (@p415 @p410) :args (@t226)) % 44.50/44.78 (step @p417 :rule symm :premises (@p301)) % 44.50/44.78 (step @p418 :rule cong :premises (@p236 @p410) :args (@t179)) % 44.50/44.78 (step @p419 :rule trans :premises (@p70 @p249 @p418)) % 44.50/44.78 (step @p420 :rule cong :premises (@p413 @p419) :args (@t204)) % 44.50/44.78 (step @p423 :rule symm :premises (@p259)) % 44.50/44.78 (step @p424 :rule symm :premises (@p188)) % 44.50/44.78 (step @p425 :rule cong :premises (@p424 @p57) :args (@t150)) % 44.50/44.78 (step @p426 :rule symm :premises (@p93)) % 44.50/44.78 (step @p427 :rule trans :premises (@p426 @p188)) % 44.50/44.78 (step @p428 :rule cong :premises (@p427 @p57) :args (@t221)) % 44.50/44.78 (step @p429 :rule symm :premises (@p297)) % 44.50/44.78 (step @p430 :rule symm :premises (@p331)) % 44.50/44.78 (step @p431 :rule cong :premises (@p305 @p410) :args (@t240)) % 44.50/44.78 (step @p454 :rule trans :premises (@p431 @p430 @p429 @p428 @p425 @p423 @p169 @p255 @p420 @p417 @p416)) % 44.50/44.78 (step @p455 :rule and_intro :premises (@p390 @p454)) % 44.50/44.78 (step-pop @p507 :rule scope :premises (@p455)) % 44.50/44.78 (step-pop @p508 :rule scope :premises (@p507)) % 44.50/44.78 (step-pop @p509 :rule scope :premises (@p508)) % 44.50/44.78 (step-pop @p510 :rule scope :premises (@p509)) % 44.50/44.78 (step-pop @p511 :rule scope :premises (@p510)) % 44.50/44.78 (step-pop @p512 :rule scope :premises (@p511)) % 44.50/44.78 (step-pop @p513 :rule scope :premises (@p512)) % 44.50/44.78 (step-pop @p514 :rule scope :premises (@p513)) % 44.50/44.78 (step-pop @p515 :rule scope :premises (@p514)) % 44.50/44.78 (step-pop @p516 :rule scope :premises (@p515)) % 44.50/44.78 (step-pop @p517 :rule scope :premises (@p516)) % 44.50/44.78 (step-pop @p518 :rule scope :premises (@p517)) % 44.50/44.78 (step-pop @p519 :rule scope :premises (@p518)) % 44.50/44.78 (step-pop @p520 :rule scope :premises (@p519)) % 44.50/44.78 (step @p456 :rule process_scope :premises (@p520) :args (@t276)) % 44.50/44.78 (step @p471 :rule implies_elim :premises (@p456)) % 44.50/44.78 (step @p472 :rule resolution :premises (@p471 @p437) :args (true @t276)) % 44.50/44.78 (step @p473 :rule not_and :premises (@p472)) % 44.50/44.78 (step @p474 :rule eq_resolve :premises (@p473 @p405)) % 44.50/44.78 (step @p475 :rule reordering :premises (@p474) :args ((or @t274 @t275 @t118 @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t241))) % 44.50/44.78 (step @p476 false :rule chain_m_resolution :premises (@p475 @p390 @p331 @p305 @p301 @p297 @p274 @p259 @p255 @p249 @p236 @p188 @p93 @p70 @p62) :args (false (@list true false false false false false false false false false false false false false) (@list @t241 @t237 @t231 @t227 @t222 @t215 @t210 @t205 @t201 @t177 @t149 @t117 @t97 @t273))) % 44.50/44.78 ) % 44.50/44.78 % SZS output end Proof % 44.50/44.78 % cvc5 exiting %------------------------------------------------------------------------------