%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM501+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:38 AM UTC 2026 % Result : Theorem 70.92s 71.13s % Output : Proof 70.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM501+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:24:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 70.92/71.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 70.92/71.13 --- Run --no-e-matching --full-saturate-quant at 6... % 70.92/71.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 70.92/71.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 70.92/71.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 70.92/71.13 --- Run --trigger-sel=max --full-saturate-quant at 15... % 70.92/71.13 % SZS status Theorem % 70.92/71.13 % SZS output start Proof % 70.92/71.13 ( % 70.92/71.13 (declare-sort $$unsorted 0) % 70.92/71.13 (declare-const tptp.xr $$unsorted) % 70.92/71.13 (declare-const tptp.xk $$unsorted) % 70.92/71.13 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 70.92/71.13 (declare-const tptp.xm $$unsorted) % 70.92/71.13 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 70.92/71.13 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 70.92/71.13 (declare-const tptp.xn $$unsorted) % 70.92/71.13 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 70.92/71.13 (declare-const tptp.sz00 $$unsorted) % 70.92/71.13 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 70.92/71.13 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 70.92/71.13 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 70.92/71.13 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 70.92/71.13 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 70.92/71.13 (declare-const tptp.sz10 $$unsorted) % 70.92/71.13 (declare-const tptp.xp $$unsorted) % 70.92/71.13 (define @t1 () (@var "W0" $$unsorted)) % 70.92/71.13 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 70.92/71.13 (define @t3 () (@list @t1)) % 70.92/71.13 (define @t4 () (@var "W1" $$unsorted)) % 70.92/71.13 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 70.92/71.13 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 70.92/71.13 (define @t7 () (and @t2 @t6)) % 70.92/71.13 (define @t8 () (@list @t1 @t4)) % 70.92/71.13 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 70.92/71.13 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 70.92/71.13 (define @t11 () (forall @t8 (=> @t7 @t10))) % 70.92/71.13 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 70.92/71.13 (define @t13 () (@var "W2" $$unsorted)) % 70.92/71.13 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 70.92/71.13 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 70.92/71.13 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 70.92/71.13 (define @t17 () (and @t2 @t6 @t16)) % 70.92/71.13 (define @t18 () (@list @t1 @t4 @t13)) % 70.92/71.13 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 70.92/71.13 (define @t20 () (= @t9 @t19)) % 70.92/71.13 (define @t21 () (forall @t8 (=> @t7 @t20))) % 70.92/71.13 (define @t22 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 70.92/71.13 (define @t23 () (forall @t18 (=> @t17 @t22))) % 70.92/71.13 (define @t24 () (tptp.sdtasdt0 @t13 @t1)) % 70.92/71.13 (define @t25 () (tptp.sdtasdt0 @t1 @t13)) % 70.92/71.13 (define @t26 () (= @t4 @t13)) % 70.92/71.13 (define @t27 () (tptp.sdtpldt0 @t13 @t1)) % 70.92/71.13 (define @t28 () (tptp.sdtpldt0 @t1 @t13)) % 70.92/71.13 (define @t29 () (= @t19 @t24)) % 70.92/71.13 (define @t30 () (= @t9 @t25)) % 70.92/71.13 (define @t31 () (and @t6 @t16)) % 70.92/71.13 (define @t32 () (= @t1 tptp.sz00)) % 70.92/71.13 (define @t33 () (not @t32)) % 70.92/71.13 (define @t34 () (= @t4 tptp.sz00)) % 70.92/71.13 (define @t35 () (and @t16 (= @t28 @t4))) % 70.92/71.13 (define @t36 () (@list @t13)) % 70.92/71.13 (define @t37 () (tptp.sdtlseqdt0 @t1 @t4)) % 70.92/71.13 (define @t38 () (= @t1 @t4)) % 70.92/71.13 (define @t39 () (tptp.sdtlseqdt0 @t4 @t1)) % 70.92/71.13 (define @t40 () (tptp.sdtlseqdt0 @t4 @t13)) % 70.92/71.13 (define @t41 () (= @t4 @t1)) % 70.92/71.13 (define @t42 () (tptp.sdtpldt0 @t13 @t4)) % 70.92/71.13 (define @t43 () (and (not @t38) @t37)) % 70.92/71.13 (define @t44 () (= @t1 tptp.sz10)) % 70.92/71.13 (define @t45 () (tptp.iLess0 @t1 @t4)) % 70.92/71.13 (define @t46 () (= @t4 @t25)) % 70.92/71.13 (define @t47 () (and @t16 @t46)) % 70.92/71.13 (define @t48 () (exists @t36 @t47)) % 70.92/71.13 (define @t49 () (tptp.doDivides0 @t1 @t4)) % 70.92/71.13 (define @t50 () (= @t49 @t48)) % 70.92/71.13 (define @t51 () (=> @t7 @t50)) % 70.92/71.13 (define @t52 () (forall @t8 @t51)) % 70.92/71.13 (define @t53 () (tptp.sdtsldt0 @t4 @t1)) % 70.92/71.13 (define @t54 () (= @t13 @t53)) % 70.92/71.13 (define @t55 () (forall @t36 (= @t54 @t47))) % 70.92/71.13 (define @t56 () (and @t33 @t49)) % 70.92/71.13 (define @t57 () (=> @t56 @t55)) % 70.92/71.13 (define @t58 () (=> @t7 @t57)) % 70.92/71.13 (define @t59 () (forall @t8 @t58)) % 70.92/71.13 (define @t60 () (tptp.doDivides0 @t1 @t13)) % 70.92/71.13 (define @t61 () (tptp.doDivides0 @t1 @t14)) % 70.92/71.13 (define @t62 () (or (= @t4 tptp.sz10) @t41)) % 70.92/71.13 (define @t63 () (tptp.doDivides0 @t4 @t1)) % 70.92/71.13 (define @t64 () (and @t6 @t63)) % 70.92/71.13 (define @t65 () (=> @t64 @t62)) % 70.92/71.13 (define @t66 () (@list @t4)) % 70.92/71.13 (define @t67 () (forall @t66 @t65)) % 70.92/71.13 (define @t68 () (not @t44)) % 70.92/71.13 (define @t69 () (and @t33 @t68 @t67)) % 70.92/71.13 (define @t70 () (tptp.isPrime0 @t1)) % 70.92/71.13 (define @t71 () (= @t70 @t69)) % 70.92/71.13 (define @t72 () (=> @t2 @t71)) % 70.92/71.13 (define @t73 () (forall @t3 @t72)) % 70.92/71.13 (define @t74 () (tptp.aNaturalNumber0 tptp.xp)) % 70.92/71.13 (define @t75 () (tptp.aNaturalNumber0 tptp.xm)) % 70.92/71.13 (define @t76 () (tptp.aNaturalNumber0 tptp.xn)) % 70.92/71.13 (define @t77 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 70.92/71.13 (define @t78 () (tptp.doDivides0 tptp.xp @t77)) % 70.92/71.13 (define @t79 () (tptp.isPrime0 tptp.xp)) % 70.92/71.13 (define @t80 () (tptp.sdtsldt0 @t77 tptp.xp)) % 70.92/71.13 (define @t81 () (= tptp.xk tptp.sz10)) % 70.92/71.13 (define @t82 () (= tptp.xk tptp.sz00)) % 70.92/71.13 (define @t83 () (tptp.doDivides0 tptp.xr tptp.xk)) % 70.92/71.13 (define @t84 () (tptp.aNaturalNumber0 tptp.xr)) % 70.92/71.13 (define @t85 () (tptp.doDivides0 tptp.xr @t77)) % 70.92/71.13 (define @t86 () (not @t6)) % 70.92/71.13 (define @t87 () (not @t2)) % 70.92/71.13 (define @t88 () (or @t87 @t86)) % 70.92/71.13 (define @t89 () (not @t7)) % 70.92/71.13 (define @t90 () (tptp.sdtasdt0 tptp.xr @t13)) % 70.92/71.13 (define @t91 () (not @t16)) % 70.92/71.13 (define @t92 () (forall @t36 (or @t91 (not (= @t80 @t90))))) % 70.92/71.13 (define @t93 () (@quantifiers_skolemize @t92 0)) % 70.92/71.13 (define @t94 () (= @t49 (not (forall @t36 (or @t91 (not @t46)))))) % 70.92/71.13 (define @t95 () (forall @t36 (not @t47))) % 70.92/71.13 (define @t96 () (not @t95)) % 70.92/71.13 (define @t97 () (@var "BOUND_VARIABLE_8010" $$unsorted)) % 70.92/71.13 (define @t98 () (and (tptp.aNaturalNumber0 @t97) (= @t4 (tptp.sdtasdt0 @t1 @t97)))) % 70.92/71.13 (define @t99 () (= @t98 (= @t97 @t53))) % 70.92/71.13 (define @t100 () (not @t49)) % 70.92/71.13 (define @t101 () (or @t87 @t86 @t32 @t100 @t99)) % 70.92/71.13 (define @t102 () (@list @t1 @t4 @t97)) % 70.92/71.13 (define @t103 () (forall @t102 @t101)) % 70.92/71.13 (define @t104 () (@list @t97)) % 70.92/71.13 (define @t105 () (forall @t104 @t101)) % 70.92/71.13 (define @t106 () (forall @t104 @t99)) % 70.92/71.13 (define @t107 () (or @t87 @t86 @t32 @t100 @t106)) % 70.92/71.13 (define @t108 () (forall @t36 (= @t47 @t54))) % 70.92/71.13 (define @t109 () (or @t87 @t86 @t32 @t100 @t108)) % 70.92/71.13 (define @t110 () (or @t32 @t100 @t108)) % 70.92/71.13 (define @t111 () (=> @t56 @t108)) % 70.92/71.13 (define @t112 () (tptp.sdtasdt0 tptp.xp @t80)) % 70.92/71.13 (define @t113 () (= @t77 @t112)) % 70.92/71.13 (define @t114 () (tptp.aNaturalNumber0 @t80)) % 70.92/71.13 (define @t115 () (and @t114 @t113)) % 70.92/71.13 (define @t116 () (= @t80 @t80)) % 70.92/71.13 (define @t117 () (not @t78)) % 70.92/71.13 (define @t118 () (tptp.aNaturalNumber0 @t77)) % 70.92/71.13 (define @t119 () (not @t118)) % 70.92/71.13 (define @t120 () (not @t74)) % 70.92/71.13 (define @t121 () (= tptp.xp tptp.sz00)) % 70.92/71.13 (define @t122 () (or @t120 @t119 @t121 @t117 (= @t115 @t116))) % 70.92/71.13 (define @t123 () (forall @t102 (or @t87 @t86 @t32 @t100 (= @t98 (= @t53 @t97))))) % 70.92/71.13 (define @t124 () (= tptp.sz00 tptp.xp)) % 70.92/71.13 (define @t125 () (or @t120 @t119 @t124 @t117 @t115)) % 70.92/71.13 (define @t126 () (@list false)) % 70.92/71.13 (define @t127 () (@list @t123)) % 70.92/71.13 (define @t128 () (not @t75)) % 70.92/71.13 (define @t129 () (not @t76)) % 70.92/71.13 (define @t130 () (or @t129 @t128 @t118)) % 70.92/71.13 (define @t131 () (@list false false false)) % 70.92/71.13 (define @t132 () (= tptp.sz10 @t4)) % 70.92/71.13 (define @t133 () (not @t63)) % 70.92/71.13 (define @t134 () (or @t86 @t133 @t132 @t38)) % 70.92/71.13 (define @t135 () (= @t70 (and @t33 @t68 (forall @t66 @t134)))) % 70.92/71.13 (define @t136 () (or @t132 @t38)) % 70.92/71.13 (define @t137 () (not (tptp.doDivides0 @t4 tptp.xp))) % 70.92/71.13 (define @t138 () (or @t86 @t137 @t132 (= tptp.xp @t4))) % 70.92/71.13 (define @t139 () (forall @t66 @t138)) % 70.92/71.13 (define @t140 () (not (= tptp.xp tptp.sz10))) % 70.92/71.13 (define @t141 () (not @t121)) % 70.92/71.13 (define @t142 () (and @t141 @t140 @t139)) % 70.92/71.13 (define @t143 () (= @t79 @t142)) % 70.92/71.13 (define @t144 () (or @t120 @t143)) % 70.92/71.13 (define @t145 () (forall @t3 (or @t87 @t135))) % 70.92/71.13 (define @t146 () (not @t124)) % 70.92/71.13 (define @t147 () (and @t146 (not (= tptp.sz10 tptp.xp)) (forall @t66 (or @t86 @t137 @t132 (= @t4 tptp.xp))))) % 70.92/71.13 (define @t148 () (= @t79 @t147)) % 70.92/71.13 (define @t149 () (or @t120 @t148)) % 70.92/71.13 (define @t150 () (@list false false)) % 70.92/71.13 (define @t151 () (@list false false true false false)) % 70.92/71.13 (define @t152 () (not @t115)) % 70.92/71.13 (define @t153 () (@list @t115)) % 70.92/71.13 (define @t154 () (not @t92)) % 70.92/71.13 (define @t155 () (tptp.doDivides0 tptp.xr @t80)) % 70.92/71.13 (define @t156 () (= @t155 @t154)) % 70.92/71.13 (define @t157 () (not @t114)) % 70.92/71.13 (define @t158 () (not @t84)) % 70.92/71.13 (define @t159 () (or @t158 @t157 @t156)) % 70.92/71.13 (define @t160 () (tptp.aNaturalNumber0 @t93)) % 70.92/71.13 (define @t161 () (tptp.sdtasdt0 tptp.xr @t93)) % 70.92/71.13 (define @t162 () (= @t80 @t161)) % 70.92/71.13 (define @t163 () (not @t162)) % 70.92/71.13 (define @t164 () (not @t160)) % 70.92/71.13 (define @t165 () (or @t164 @t163)) % 70.92/71.13 (define @t166 () (@list true)) % 70.92/71.13 (define @t167 () (@list @t165)) % 70.92/71.13 (define @t168 () (tptp.sdtasdt0 tptp.xp @t93)) % 70.92/71.13 (define @t169 () (tptp.aNaturalNumber0 @t168)) % 70.92/71.13 (define @t170 () (or @t120 @t164 @t169)) % 70.92/71.13 (define @t171 () (tptp.sdtasdt0 @t93 tptp.xp)) % 70.92/71.13 (define @t172 () (= @t171 @t168)) % 70.92/71.13 (define @t173 () (or @t164 @t120 @t172)) % 70.92/71.13 (define @t174 () (tptp.aNaturalNumber0 @t171)) % 70.92/71.13 (define @t175 () (forall @t36 (or @t91 (not (= @t77 @t90))))) % 70.92/71.13 (define @t176 () (not @t175)) % 70.92/71.13 (define @t177 () (= @t85 @t176)) % 70.92/71.13 (define @t178 () (or @t158 @t119 @t177)) % 70.92/71.13 (define @t179 () (not @t177)) % 70.92/71.13 (define @t180 () (or @t87 @t86 @t91)) % 70.92/71.13 (define @t181 () (tptp.sdtasdt0 tptp.xr @t171)) % 70.92/71.13 (define @t182 () (= (tptp.sdtasdt0 @t161 tptp.xp) @t181)) % 70.92/71.13 (define @t183 () (or @t158 @t164 @t120 @t182)) % 70.92/71.13 (define @t184 () (forall @t36 (or @t91 (not (= @t77 (tptp.sdtasdt0 tptp.xp @t13)))))) % 70.92/71.13 (define @t185 () (@quantifiers_skolemize @t184 0)) % 70.92/71.13 (define @t186 () (= @t80 @t185)) % 70.92/71.13 (define @t187 () (= @t77 (tptp.sdtasdt0 tptp.xp @t185))) % 70.92/71.13 (define @t188 () (tptp.aNaturalNumber0 @t185)) % 70.92/71.13 (define @t189 () (and @t188 @t187)) % 70.92/71.13 (define @t190 () (= @t189 @t186)) % 70.92/71.13 (define @t191 () (or @t120 @t119 @t121 @t117 @t190)) % 70.92/71.13 (define @t192 () (or @t120 @t119 @t124 @t117 @t190)) % 70.92/71.13 (define @t193 () (not @t184)) % 70.92/71.13 (define @t194 () (= @t78 @t193)) % 70.92/71.13 (define @t195 () (or @t120 @t119 @t194)) % 70.92/71.13 (define @t196 () (not @t187)) % 70.92/71.13 (define @t197 () (not @t188)) % 70.92/71.13 (define @t198 () (or @t197 @t196)) % 70.92/71.13 (define @t199 () (@list @t198)) % 70.92/71.13 (define @t200 () (tptp.sdtasdt0 @t80 tptp.xp)) % 70.92/71.13 (define @t201 () (= @t112 @t200)) % 70.92/71.13 (define @t202 () (or @t120 @t157 @t201)) % 70.92/71.13 (define @t203 () (= @t77 @t181)) % 70.92/71.13 (define @t204 () (not @t203)) % 70.92/71.13 (define @t205 () (not @t174)) % 70.92/71.13 (define @t206 () (or @t205 @t204)) % 70.92/71.13 (assume @p1 (forall @t3 (=> @t2 true))) % 70.92/71.13 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 70.92/71.13 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 70.92/71.13 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 70.92/71.13 (assume @p5 @t11) % 70.92/71.13 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 70.92/71.13 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 70.92/71.13 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 70.92/71.13 (assume @p9 @t21) % 70.92/71.13 (assume @p10 @t23) % 70.92/71.13 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 70.92/71.13 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 70.92/71.13 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 70.92/71.13 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 70.92/71.13 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t13) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 70.92/71.13 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 70.92/71.13 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t32 @t34))))) % 70.92/71.13 (assume @p18 (forall @t8 (=> @t7 (= @t37 (exists @t36 @t35))))) % 70.92/71.13 (assume @p19 (forall @t8 (=> @t7 (=> @t37 (forall @t36 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 70.92/71.13 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 70.92/71.13 (assume @p21 (forall @t8 (=> @t7 (=> (and @t37 @t39) @t38)))) % 70.92/71.13 (assume @p22 (forall @t18 (=> @t17 (=> (and @t37 @t40) (tptp.sdtlseqdt0 @t1 @t13))))) % 70.92/71.13 (assume @p23 (forall @t8 (=> @t7 (or @t37 (and (not @t41) @t39))))) % 70.92/71.13 (assume @p24 (forall @t8 (=> @t7 (=> @t43 (forall @t36 (=> @t16 (and (not (= @t27 @t42)) (tptp.sdtlseqdt0 @t27 @t42) (not (= @t28 @t14)) (tptp.sdtlseqdt0 @t28 @t14)))))))) % 70.92/71.13 (assume @p25 (forall @t18 (=> @t17 (=> (and @t33 (not @t26) @t40) (and (not @t30) (tptp.sdtlseqdt0 @t9 @t25) (not @t29) (tptp.sdtlseqdt0 @t19 @t24)))))) % 70.92/71.13 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t44 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 70.92/71.13 (assume @p27 (forall @t8 (=> @t7 (=> @t33 (tptp.sdtlseqdt0 @t4 @t19))))) % 70.92/71.13 (assume @p28 (forall @t8 (=> @t7 (=> @t45 true)))) % 70.92/71.13 (assume @p29 (forall @t8 (=> @t7 (=> @t43 @t45)))) % 70.92/71.13 (assume @p30 @t52) % 70.92/71.13 (assume @p31 @t59) % 70.92/71.13 (assume @p32 (forall @t18 (=> @t17 (=> (and @t49 (tptp.doDivides0 @t4 @t13)) @t60)))) % 70.92/71.13 (assume @p33 (forall @t18 (=> @t17 (=> (and @t49 @t60) @t61)))) % 70.92/71.13 (assume @p34 (forall @t18 (=> @t17 (=> (and @t49 @t61) @t60)))) % 70.92/71.13 (assume @p35 (forall @t8 (=> @t7 (=> (and @t49 (not @t34)) @t37)))) % 70.92/71.13 (assume @p36 (forall @t8 (=> @t7 (=> @t56 (forall @t36 (=> @t16 (= (tptp.sdtasdt0 @t13 @t53) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 70.92/71.13 (assume @p37 @t73) % 70.92/71.13 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t68) (exists @t66 (and @t6 @t63 (tptp.isPrime0 @t4)))))) % 70.92/71.13 (assume @p39 (and @t76 @t75 @t74)) % 70.92/71.13 (assume @p40 (forall @t18 (=> @t17 (=> (and (tptp.isPrime0 @t13) (tptp.doDivides0 @t13 @t9)) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t4))))))) % 70.92/71.13 (assume @p41 (and @t79 @t78)) % 70.92/71.13 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 70.92/71.13 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 70.92/71.13 (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))) % 70.92/71.13 (assume @p45 (= tptp.xk @t80)) % 70.92/71.13 (assume @p46 (not (or @t82 @t81))) % 70.92/71.13 (assume @p47 (and (not @t82) (not @t81))) % 70.92/71.13 (assume @p48 (and @t84 @t83 (tptp.isPrime0 tptp.xr))) % 70.92/71.13 (assume @p49 (not @t85)) % 70.92/71.13 (assume @p50 true) % 70.92/71.13 (step @p51 :rule evaluate :args ((= false true))) % 70.92/71.13 (step @p52 :rule aci_norm :args ((= (or @t88 @t10) (or @t87 @t86 @t10)))) % 70.92/71.13 (step @p53 :rule refl :args (@t10)) % 70.92/71.13 (step @p54 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 70.92/71.13 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t89 @t10))) % 70.92/71.13 (step @p56 :rule trans :premises (@p55 @p52)) % 70.92/71.13 (step @p57 :rule bool-impl-elim :args (@t7 @t10)) % 70.92/71.13 (step @p58 :rule trans :premises (@p57 @p56)) % 70.92/71.13 (step @p59 :rule cong :premises (@p58) :args (@t11)) % 70.92/71.13 (step @p60 :rule eq_resolve :premises (@p5 @p59)) % 70.92/71.13 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.xp @t93))) % 70.92/71.13 (step @p62 :rule aci_norm :args ((= (or @t88 @t94) (or @t87 @t86 @t94)))) % 70.92/71.13 (step @p63 :rule refl :args (@t94)) % 70.92/71.13 (step @p64 :rule nary_cong :premises (@p54 @p63) :args ((or @t89 @t94))) % 70.92/71.13 (step @p65 :rule trans :premises (@p64 @p62)) % 70.92/71.13 (step @p66 :rule bool-impl-elim :args (@t7 @t94)) % 70.92/71.13 (step @p67 :rule trans :premises (@p66 @p65)) % 70.92/71.13 (step @p68 :rule cong :premises (@p67) :args ((forall @t8 (=> @t7 @t94)))) % 70.92/71.13 (step @p69 :rule bool-and-de-morgan :args (@t16 @t46 true)) % 70.92/71.13 (step @p70 :rule cong :premises (@p69) :args (@t95)) % 70.92/71.13 (step @p71 :rule cong :premises (@p70) :args (@t96)) % 70.92/71.13 (step @p72 :rule exists-elim :args ((= @t48 @t96))) % 70.92/71.13 (step @p73 :rule trans :premises (@p72 @p71)) % 70.92/71.13 (step @p74 :rule refl :args (@t49)) % 70.92/71.13 (step @p75 :rule cong :premises (@p74 @p73) :args (@t50)) % 70.92/71.13 (step @p76 :rule refl :args (@t7)) % 70.92/71.13 (step @p77 :rule cong :premises (@p76 @p75) :args (@t51)) % 70.92/71.13 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 70.92/71.13 (step @p79 :rule trans :premises (@p78 @p68)) % 70.92/71.13 (step @p80 :rule eq_resolve :premises (@p30 @p79)) % 70.92/71.13 (step @p81 :rule instantiate :premises (@p80) :args ((@list tptp.xr @t80))) % 70.92/71.13 (step @p82 :rule eq-symm :args (@t97 @t53)) % 70.92/71.13 (step @p83 :rule refl :args (@t98)) % 70.92/71.13 (step @p84 :rule cong :premises (@p83 @p82) :args (@t99)) % 70.92/71.13 (step @p85 :rule refl :args (@t100)) % 70.92/71.13 (step @p86 :rule refl :args (@t32)) % 70.92/71.13 (step @p87 :rule refl :args (@t86)) % 70.92/71.13 (step @p88 :rule refl :args (@t87)) % 70.92/71.13 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85 @p84) :args (@t101)) % 70.92/71.13 (step @p90 :rule cong :premises (@p89) :args (@t103)) % 70.92/71.13 (step @p91 :rule quant-merge-prenex :args ((= (forall @t8 @t105) @t103))) % 70.92/71.13 (step @p92 :rule alpha_equiv :args (@t106 (@list @t97) (@list @t13))) % 70.92/71.13 (step @p93 :rule refl :args (@t100)) % 70.92/71.13 (step @p94 :rule refl :args (@t32)) % 70.92/71.13 (step @p95 :rule refl :args (@t86)) % 70.92/71.13 (step @p96 :rule refl :args (@t87)) % 70.92/71.13 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92) :args (@t107)) % 70.92/71.13 (step @p98 :rule quant-miniscope-or :args ((= @t105 @t107))) % 70.92/71.13 (step @p99 :rule trans :premises (@p98 @p97)) % 70.92/71.13 (step @p100 :rule symm :premises (@p99)) % 70.92/71.13 (step @p101 :rule cong :premises (@p100) :args ((forall @t8 @t109))) % 70.92/71.13 (step @p102 :rule trans :premises (@p101 @p91)) % 70.92/71.13 (step @p103 :rule trans :premises (@p102 @p90)) % 70.92/71.13 (step @p104 :rule aci_norm :args ((= (or @t88 @t110) @t109))) % 70.92/71.13 (step @p105 :rule aci_norm :args ((= (or (or @t32 @t100) @t108) @t110))) % 70.92/71.13 (step @p106 :rule refl :args (@t108)) % 70.92/71.13 (step @p107 :rule bool-double-not-elim :args (@t32)) % 70.92/71.13 (step @p108 :rule nary_cong :premises (@p107 @p93) :args ((or (not @t33) @t100))) % 70.92/71.13 (step @p109 :rule bool-and-de-morgan :args (@t33 @t49 true)) % 70.92/71.13 (step @p110 :rule trans :premises (@p109 @p108)) % 70.92/71.13 (step @p111 :rule nary_cong :premises (@p110 @p106) :args ((or (not @t56) @t108))) % 70.92/71.13 (step @p112 :rule trans :premises (@p111 @p105)) % 70.92/71.13 (step @p113 :rule bool-impl-elim :args (@t56 @t108)) % 70.92/71.13 (step @p114 :rule trans :premises (@p113 @p112)) % 70.92/71.13 (step @p115 :rule nary_cong :premises (@p54 @p114) :args ((or @t89 @t111))) % 70.92/71.13 (step @p116 :rule trans :premises (@p115 @p104)) % 70.92/71.13 (step @p117 :rule bool-impl-elim :args (@t7 @t111)) % 70.92/71.13 (step @p118 :rule trans :premises (@p117 @p116)) % 70.92/71.13 (step @p119 :rule cong :premises (@p118) :args ((forall @t8 (=> @t7 @t111)))) % 70.92/71.13 (step @p120 :rule trans :premises (@p119 @p103)) % 70.92/71.13 (step @p121 :rule eq-symm :args (@t54 @t47)) % 70.92/71.13 (step @p122 :rule cong :premises (@p121) :args (@t55)) % 70.92/71.13 (step @p123 :rule refl :args (@t56)) % 70.92/71.13 (step @p124 :rule cong :premises (@p123 @p122) :args (@t57)) % 70.92/71.13 (step @p125 :rule cong :premises (@p76 @p124) :args (@t58)) % 70.92/71.13 (step @p126 :rule cong :premises (@p125) :args (@t59)) % 70.92/71.13 (step @p127 :rule trans :premises (@p126 @p120)) % 70.92/71.13 (step @p128 :rule eq_resolve :premises (@p31 @p127)) % 70.92/71.13 (step @p129 :rule bool-eq-true :args (@t115)) % 70.92/71.13 (step @p130 :rule eq-symm :args (true @t115)) % 70.92/71.13 (step @p131 :rule trans :premises (@p130 @p129)) % 70.92/71.13 (step @p132 :rule refl :args (@t115)) % 70.92/71.13 (step @p133 :rule eq-refl :args (@t80)) % 70.92/71.13 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t116 @t115))) % 70.92/71.13 (step @p135 :rule trans :premises (@p134 @p131)) % 70.92/71.13 (step @p136 :rule eq-symm :args (@t115 @t116)) % 70.92/71.13 (step @p137 :rule trans :premises (@p136 @p135)) % 70.92/71.13 (step @p138 :rule refl :args (@t117)) % 70.92/71.13 (step @p139 :rule eq-symm :args (tptp.xp tptp.sz00)) % 70.92/71.13 (step @p140 :rule refl :args (@t119)) % 70.92/71.13 (step @p141 :rule refl :args (@t120)) % 70.92/71.13 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137) :args (@t122)) % 70.92/71.13 (step @p143 :rule refl :args (@t123)) % 70.92/71.13 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t123 @t122))) % 70.92/71.13 (assume-push @p357 @t123) % 70.92/71.13 (step @p146 :rule instantiate :premises (@p128) :args ((@list tptp.xp @t77 @t80))) % 70.92/71.13 (step-pop @p358 :rule scope :premises (@p146)) % 70.92/71.13 (step @p147 :rule process_scope :premises (@p358) :args (@t122)) % 70.92/71.13 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 70.92/71.13 (step @p150 :rule implies_elim :premises (@p149)) % 70.92/71.13 (step @p151 :rule chain_m_resolution :premises (@p150 @p128) :args (@t125 @t126 @t127)) % 70.92/71.13 (step @p152 :rule instantiate :premises (@p60) :args ((@list tptp.xn tptp.xm))) % 70.92/71.13 (step @p153 :rule and_elim :premises (@p39) :args (1)) % 70.92/71.13 (step @p154 :rule and_elim :premises (@p39) :args (0)) % 70.92/71.13 (step @p155 :rule cnf_or_pos :args (@t130)) % 70.92/71.13 (step @p156 :rule reordering :premises (@p155) :args ((or @t129 @t128 @t118 (not @t130)))) % 70.92/71.13 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p153 @p152) :args (@t118 @t131 (@list @t76 @t75 @t130))) % 70.92/71.13 (step @p158 :rule bool-impl-elim :args (@t2 @t135)) % 70.92/71.13 (step @p159 :rule cong :premises (@p158) :args ((forall @t3 (=> @t2 @t135)))) % 70.92/71.13 (step @p160 :rule aci_norm :args ((= (or (or @t86 @t133) @t136) @t134))) % 70.92/71.13 (step @p161 :rule refl :args (@t136)) % 70.92/71.13 (step @p162 :rule bool-and-de-morgan :args (@t6 @t63 true)) % 70.92/71.13 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t64) @t136))) % 70.92/71.13 (step @p164 :rule trans :premises (@p163 @p160)) % 70.92/71.13 (step @p165 :rule bool-impl-elim :args (@t64 @t136)) % 70.92/71.13 (step @p166 :rule trans :premises (@p165 @p164)) % 70.92/71.13 (step @p167 :rule cong :premises (@p166) :args ((forall @t66 (=> @t64 @t136)))) % 70.92/71.13 (step @p168 :rule eq-symm :args (@t4 @t1)) % 70.92/71.13 (step @p169 :rule eq-symm :args (@t4 tptp.sz10)) % 70.92/71.13 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t62)) % 70.92/71.13 (step @p171 :rule refl :args (@t64)) % 70.92/71.13 (step @p172 :rule cong :premises (@p171 @p170) :args (@t65)) % 70.92/71.13 (step @p173 :rule cong :premises (@p172) :args (@t67)) % 70.92/71.13 (step @p174 :rule trans :premises (@p173 @p167)) % 70.92/71.13 (step @p175 :rule refl :args (@t68)) % 70.92/71.13 (step @p176 :rule refl :args (@t33)) % 70.92/71.13 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args (@t69)) % 70.92/71.13 (step @p178 :rule refl :args (@t70)) % 70.92/71.13 (step @p179 :rule cong :premises (@p178 @p177) :args (@t71)) % 70.92/71.13 (step @p180 :rule refl :args (@t2)) % 70.92/71.13 (step @p181 :rule cong :premises (@p180 @p179) :args (@t72)) % 70.92/71.13 (step @p182 :rule cong :premises (@p181) :args (@t73)) % 70.92/71.13 (step @p183 :rule trans :premises (@p182 @p159)) % 70.92/71.13 (step @p184 :rule eq_resolve :premises (@p37 @p183)) % 70.92/71.13 (step @p185 :rule eq-symm :args (tptp.xp @t4)) % 70.92/71.13 (step @p186 :rule refl :args (@t132)) % 70.92/71.13 (step @p187 :rule refl :args (@t137)) % 70.92/71.13 (step @p188 :rule nary_cong :premises (@p87 @p187 @p186 @p185) :args (@t138)) % 70.92/71.13 (step @p189 :rule cong :premises (@p188) :args (@t139)) % 70.92/71.13 (step @p190 :rule eq-symm :args (tptp.xp tptp.sz10)) % 70.92/71.13 (step @p191 :rule cong :premises (@p190) :args (@t140)) % 70.92/71.13 (step @p192 :rule cong :premises (@p139) :args (@t141)) % 70.92/71.13 (step @p193 :rule nary_cong :premises (@p192 @p191 @p189) :args (@t142)) % 70.92/71.13 (step @p194 :rule refl :args (@t79)) % 70.92/71.13 (step @p195 :rule cong :premises (@p194 @p193) :args (@t143)) % 70.92/71.13 (step @p196 :rule nary_cong :premises (@p141 @p195) :args (@t144)) % 70.92/71.13 (step @p197 :rule refl :args (@t145)) % 70.92/71.13 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t145 @t144))) % 70.92/71.13 (assume-push @p359 @t145) % 70.92/71.13 (step @p200 :rule instantiate :premises (@p184) :args ((@list tptp.xp))) % 70.92/71.13 (step-pop @p360 :rule scope :premises (@p200)) % 70.92/71.13 (step @p201 :rule process_scope :premises (@p360) :args (@t144)) % 70.92/71.13 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 70.92/71.13 (step @p204 :rule implies_elim :premises (@p203)) % 70.92/71.13 (step @p205 :rule chain_m_resolution :premises (@p204 @p184) :args (@t149 @t126 (@list @t145))) % 70.92/71.13 (step @p206 :rule and_elim :premises (@p39) :args (2)) % 70.92/71.13 (step @p207 :rule cnf_or_pos :args (@t149)) % 70.92/71.13 (step @p208 :rule reordering :premises (@p207) :args ((or @t120 @t148 (not @t149)))) % 70.92/71.13 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p205) :args (@t148 @t150 (@list @t74 @t149))) % 70.92/71.13 (step @p210 :rule and_elim :premises (@p41) :args (0)) % 70.92/71.13 (step @p211 :rule cnf_equiv_pos1 :args (@t148)) % 70.92/71.13 (step @p212 :rule reordering :premises (@p211) :args ((or (not @t79) @t147 (not @t148)))) % 70.92/71.13 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p209) :args (@t147 @t150 (@list @t79 @t148))) % 70.92/71.13 (step @p214 :rule cnf_and_pos :args (@t147 0)) % 70.92/71.13 (step @p215 :rule reordering :premises (@p214) :args ((or @t146 (not @t147)))) % 70.92/71.13 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t146 @t126 (@list @t147))) % 70.92/71.13 (step @p217 :rule and_elim :premises (@p41) :args (1)) % 70.92/71.13 (step @p218 :rule cnf_or_pos :args (@t125)) % 70.92/71.13 (step @p219 :rule reordering :premises (@p218) :args ((or @t120 @t117 @t124 @t119 @t115 (not @t125)))) % 70.92/71.13 (step @p220 :rule chain_m_resolution :premises (@p219 @p206 @p217 @p216 @p157 @p151) :args (@t115 @t151 (@list @t74 @t78 @t124 @t118 @t125))) % 70.92/71.13 (step @p221 :rule cnf_and_pos :args (@t115 0)) % 70.92/71.13 (step @p222 :rule reordering :premises (@p221) :args ((or @t114 @t152))) % 70.92/71.13 (step @p223 :rule chain_m_resolution :premises (@p222 @p220) :args (@t114 @t126 @t153)) % 70.92/71.13 (step @p224 :rule and_elim :premises (@p48) :args (0)) % 70.92/71.13 (step @p225 :rule cnf_or_pos :args (@t159)) % 70.92/71.13 (step @p226 :rule reordering :premises (@p225) :args ((or @t158 @t157 @t156 (not @t159)))) % 70.92/71.13 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p223 @p81) :args (@t156 @t131 (@list @t84 @t114 @t159))) % 70.92/71.13 (step @p228 :rule refl :args (tptp.xr)) % 70.92/71.13 (step @p229 :rule cong :premises (@p228 @p45) :args (@t83)) % 70.92/71.13 (step @p230 :rule and_elim :premises (@p48) :args (1)) % 70.92/71.13 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 70.92/71.13 (step @p232 :rule cnf_equiv_pos1 :args (@t156)) % 70.92/71.13 (step @p233 :rule reordering :premises (@p232) :args ((or (not @t155) @t154 (not @t156)))) % 70.92/71.13 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p227) :args (@t154 @t150 (@list @t155 @t156))) % 70.92/71.13 (step @p235 :rule skolemize :premises (@p234)) % 70.92/71.13 (step @p236 :rule bool-double-not-elim :args (@t160)) % 70.92/71.13 (step @p237 :rule refl :args (@t165)) % 70.92/71.13 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t165 (not @t164)))) % 70.92/71.13 (step @p239 :rule cnf_or_neg :args (@t165 0)) % 70.92/71.13 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 70.92/71.13 (step @p241 :rule reordering :premises (@p240) :args ((or @t160 @t165))) % 70.92/71.13 (step @p242 :rule chain_m_resolution :premises (@p241 @p235) :args (@t160 @t166 @t167)) % 70.92/71.13 (step @p243 :rule cnf_or_pos :args (@t170)) % 70.92/71.13 (step @p244 :rule reordering :premises (@p243) :args ((or @t120 @t164 @t169 (not @t170)))) % 70.92/71.13 (step @p245 :rule chain_m_resolution :premises (@p244 @p206 @p242 @p61) :args (@t169 @t131 (@list @t74 @t160 @t170))) % 70.92/71.13 (step @p246 :rule true_intro :premises (@p245)) % 70.92/71.13 (step @p247 :rule aci_norm :args ((= (or @t88 @t20) (or @t87 @t86 @t20)))) % 70.92/71.13 (step @p248 :rule refl :args (@t20)) % 70.92/71.13 (step @p249 :rule nary_cong :premises (@p54 @p248) :args ((or @t89 @t20))) % 70.92/71.13 (step @p250 :rule trans :premises (@p249 @p247)) % 70.92/71.13 (step @p251 :rule bool-impl-elim :args (@t7 @t20)) % 70.92/71.13 (step @p252 :rule trans :premises (@p251 @p250)) % 70.92/71.13 (step @p253 :rule cong :premises (@p252) :args (@t21)) % 70.92/71.13 (step @p254 :rule eq_resolve :premises (@p9 @p253)) % 70.92/71.13 (step @p255 :rule instantiate :premises (@p254) :args ((@list @t93 tptp.xp))) % 70.92/71.13 (step @p256 :rule cnf_or_pos :args (@t173)) % 70.92/71.13 (step @p257 :rule reordering :premises (@p256) :args ((or @t120 @t164 @t172 (not @t173)))) % 70.92/71.13 (step @p258 :rule chain_m_resolution :premises (@p257 @p206 @p242 @p255) :args (@t172 @t131 (@list @t74 @t160 @t173))) % 70.92/71.13 (step @p259 :rule cong :premises (@p258) :args (@t174)) % 70.92/71.13 (step @p260 :rule instantiate :premises (@p80) :args ((@list tptp.xr @t77))) % 70.92/71.13 (step @p261 :rule cnf_or_pos :args (@t178)) % 70.92/71.13 (step @p262 :rule reordering :premises (@p261) :args ((or @t158 @t119 @t177 (not @t178)))) % 70.92/71.13 (step @p263 :rule chain_m_resolution :premises (@p262 @p224 @p157 @p260) :args (@t177 @t131 (@list @t84 @t118 @t178))) % 70.92/71.13 (step @p264 :rule bool-double-not-elim :args (@t175)) % 70.92/71.13 (step @p265 :rule refl :args (@t85)) % 70.92/71.13 (step @p266 :rule refl :args (@t179)) % 70.92/71.13 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264) :args ((or @t179 @t85 (not @t176)))) % 70.92/71.13 (step @p268 :rule cnf_equiv_pos2 :args (@t177)) % 70.92/71.13 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 70.92/71.13 (step @p270 :rule reordering :premises (@p269) :args ((or @t85 @t175 @t179))) % 70.92/71.13 (step @p271 :rule chain_m_resolution :premises (@p270 @p49 @p263) :args (@t175 (@list true false) (@list @t85 @t177))) % 70.92/71.13 (step @p272 :rule instantiate :premises (@p271) :args ((@list @t171))) % 70.92/71.13 (step @p273 :rule aci_norm :args ((= (or @t180 @t22) (or @t87 @t86 @t91 @t22)))) % 70.92/71.13 (step @p274 :rule refl :args (@t22)) % 70.92/71.13 (step @p275 :rule aci_norm :args ((= (or @t87 (or @t86 @t91)) @t180))) % 70.92/71.13 (step @p276 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 70.92/71.13 (step @p277 :rule nary_cong :premises (@p96 @p276) :args ((or @t87 (not @t31)))) % 70.92/71.13 (step @p278 :rule bool-and-de-morgan :args (@t2 @t6 (and @t16))) % 70.92/71.13 (step @p279 :rule trans :premises (@p278 @p277)) % 70.92/71.13 (step @p280 :rule trans :premises (@p279 @p275)) % 70.92/71.13 (step @p281 :rule nary_cong :premises (@p280 @p274) :args ((or (not @t17) @t22))) % 70.92/71.13 (step @p282 :rule trans :premises (@p281 @p273)) % 70.92/71.13 (step @p283 :rule bool-impl-elim :args (@t17 @t22)) % 70.92/71.13 (step @p284 :rule trans :premises (@p283 @p282)) % 70.92/71.13 (step @p285 :rule cong :premises (@p284) :args (@t23)) % 70.92/71.13 (step @p286 :rule eq_resolve :premises (@p10 @p285)) % 70.92/71.13 (step @p287 :rule instantiate :premises (@p286) :args ((@list tptp.xr @t93 tptp.xp))) % 70.92/71.13 (step @p288 :rule cnf_or_pos :args (@t183)) % 70.92/71.13 (step @p289 :rule reordering :premises (@p288) :args ((or @t120 @t158 @t164 @t182 (not @t183)))) % 70.92/71.13 (step @p290 :rule chain_m_resolution :premises (@p289 @p206 @p224 @p242 @p287) :args (@t182 (@list false false false false) (@list @t74 @t84 @t160 @t183))) % 70.92/71.13 (step @p291 :rule refl :args (tptp.xp)) % 70.92/71.13 (step @p292 :rule bool-double-not-elim :args (@t162)) % 70.92/71.13 (step @p293 :rule nary_cong :premises (@p237 @p292) :args ((or @t165 (not @t163)))) % 70.92/71.13 (step @p294 :rule cnf_or_neg :args (@t165 1)) % 70.92/71.13 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 70.92/71.13 (step @p296 :rule reordering :premises (@p295) :args ((or @t162 @t165))) % 70.92/71.13 (step @p297 :rule chain_m_resolution :premises (@p296 @p235) :args (@t162 @t166 @t167)) % 70.92/71.13 (step @p298 :rule refl :args (@t190)) % 70.92/71.13 (step @p299 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p298) :args (@t191)) % 70.92/71.13 (step @p300 :rule cong :premises (@p143 @p299) :args ((=> @t123 @t191))) % 70.92/71.13 (assume-push @p361 @t123) % 70.92/71.13 (step @p302 :rule instantiate :premises (@p128) :args ((@list tptp.xp @t77 @t185))) % 70.92/71.13 (step-pop @p362 :rule scope :premises (@p302)) % 70.92/71.13 (step @p303 :rule process_scope :premises (@p362) :args (@t191)) % 70.92/71.13 (step @p305 :rule eq_resolve :premises (@p303 @p300)) % 70.92/71.13 (step @p306 :rule implies_elim :premises (@p305)) % 70.92/71.13 (step @p307 :rule chain_m_resolution :premises (@p306 @p128) :args (@t192 @t126 @t127)) % 70.92/71.13 (step @p308 :rule cnf_or_pos :args (@t192)) % 70.92/71.13 (step @p309 :rule reordering :premises (@p308) :args ((or @t120 @t117 @t124 @t119 @t190 (not @t192)))) % 70.92/71.13 (step @p310 :rule chain_m_resolution :premises (@p309 @p206 @p217 @p216 @p157 @p307) :args (@t190 @t151 (@list @t74 @t78 @t124 @t118 @t192))) % 70.92/71.13 (step @p311 :rule instantiate :premises (@p80) :args ((@list tptp.xp @t77))) % 70.92/71.13 (step @p312 :rule cnf_or_pos :args (@t195)) % 70.92/71.13 (step @p313 :rule reordering :premises (@p312) :args ((or @t120 @t119 @t194 (not @t195)))) % 70.92/71.13 (step @p314 :rule chain_m_resolution :premises (@p313 @p206 @p157 @p311) :args (@t194 @t131 (@list @t74 @t118 @t195))) % 70.92/71.13 (step @p315 :rule cnf_equiv_pos1 :args (@t194)) % 70.92/71.13 (step @p316 :rule reordering :premises (@p315) :args ((or @t117 @t193 (not @t194)))) % 70.92/71.13 (step @p317 :rule chain_m_resolution :premises (@p316 @p217 @p314) :args (@t193 @t150 (@list @t78 @t194))) % 70.92/71.13 (step @p318 :rule skolemize :premises (@p317)) % 70.92/71.13 (step @p319 :rule bool-double-not-elim :args (@t187)) % 70.92/71.13 (step @p320 :rule refl :args (@t198)) % 70.92/71.13 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t198 (not @t196)))) % 70.92/71.13 (step @p322 :rule cnf_or_neg :args (@t198 1)) % 70.92/71.13 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 70.92/71.13 (step @p324 :rule reordering :premises (@p323) :args ((or @t187 @t198))) % 70.92/71.13 (step @p325 :rule chain_m_resolution :premises (@p324 @p318) :args (@t187 @t166 @t199)) % 70.92/71.13 (step @p326 :rule bool-double-not-elim :args (@t188)) % 70.92/71.13 (step @p327 :rule nary_cong :premises (@p320 @p326) :args ((or @t198 (not @t197)))) % 70.92/71.13 (step @p328 :rule cnf_or_neg :args (@t198 0)) % 70.92/71.13 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 70.92/71.13 (step @p330 :rule reordering :premises (@p329) :args ((or @t188 @t198))) % 70.92/71.13 (step @p331 :rule chain_m_resolution :premises (@p330 @p318) :args (@t188 @t166 @t199)) % 70.92/71.13 (step @p332 :rule cnf_and_neg :args (@t189)) % 70.92/71.13 (step @p333 :rule reordering :premises (@p332) :args ((or @t197 @t196 @t189))) % 70.92/71.13 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p325) :args (@t189 @t150 (@list @t188 @t187))) % 70.92/71.13 (step @p335 :rule cnf_equiv_pos1 :args (@t190)) % 70.92/71.13 (step @p336 :rule reordering :premises (@p335) :args ((or @t186 (not @t189) (not @t190)))) % 70.92/71.13 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p310) :args (@t186 @t150 (@list @t189 @t190))) % 70.92/71.13 (step @p338 :rule symm :premises (@p337)) % 70.92/71.13 (step @p339 :rule trans :premises (@p338 @p297)) % 70.92/71.13 (step @p340 :rule cong :premises (@p339 @p291) :args ((tptp.sdtasdt0 @t185 tptp.xp))) % 70.92/71.13 (step @p341 :rule cong :premises (@p337 @p291) :args (@t200)) % 70.92/71.13 (step @p342 :rule instantiate :premises (@p254) :args ((@list tptp.xp @t80))) % 70.92/71.13 (step @p343 :rule cnf_or_pos :args (@t202)) % 70.92/71.13 (step @p344 :rule reordering :premises (@p343) :args ((or @t120 @t157 @t201 (not @t202)))) % 70.92/71.13 (step @p345 :rule chain_m_resolution :premises (@p344 @p206 @p223 @p342) :args (@t201 @t131 (@list @t74 @t114 @t202))) % 70.92/71.13 (step @p346 :rule cnf_and_pos :args (@t115 1)) % 70.92/71.13 (step @p347 :rule reordering :premises (@p346) :args ((or @t113 @t152))) % 70.92/71.13 (step @p348 :rule chain_m_resolution :premises (@p347 @p220) :args (@t113 @t126 @t153)) % 70.92/71.13 (step @p349 :rule trans :premises (@p348 @p345 @p341 @p340 @p290)) % 70.92/71.13 (step @p350 :rule cnf_or_pos :args (@t206)) % 70.92/71.13 (step @p351 :rule reordering :premises (@p350) :args ((or @t205 @t204 (not @t206)))) % 70.92/71.13 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p272) :args (@t205 @t150 (@list @t203 @t206))) % 70.92/71.13 (step @p353 :rule false_intro :premises (@p352)) % 70.92/71.13 (step @p354 :rule symm :premises (@p353)) % 70.92/71.13 (step @p355 :rule trans :premises (@p354 @p259 @p246)) % 70.92/71.13 (step @p356 false :rule eq_resolve :premises (@p355 @p51)) % 70.92/71.13 ) % 70.92/71.13 % SZS output end Proof % 70.92/71.14 % cvc5 exiting %------------------------------------------------------------------------------