%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM529+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:39:44 AM UTC 2026 % Result : Theorem 34.00s 34.29s % Output : Proof 34.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM529+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:27:30 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.00/34.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.00/34.29 --- Run --no-e-matching --full-saturate-quant at 6... % 34.00/34.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.00/34.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.00/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.00/34.29 % SZS status Theorem % 34.00/34.29 % SZS output start Proof % 34.00/34.29 ( % 34.00/34.29 (declare-sort $$unsorted 0) % 34.00/34.29 (declare-const tptp.xq $$unsorted) % 34.00/34.29 (declare-const tptp.xp $$unsorted) % 34.00/34.29 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.00/34.29 (declare-const tptp.sz10 $$unsorted) % 34.00/34.29 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.29 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.00/34.29 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.00/34.29 (declare-const tptp.sz00 $$unsorted) % 34.00/34.29 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.29 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.29 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.29 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.00/34.29 (declare-const tptp.xn $$unsorted) % 34.00/34.29 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 34.00/34.29 (declare-const tptp.xm $$unsorted) % 34.00/34.29 (define @t1 () (@var "W0" $$unsorted)) % 34.00/34.29 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 34.00/34.29 (define @t3 () (@list @t1)) % 34.00/34.29 (define @t4 () (@var "W1" $$unsorted)) % 34.00/34.29 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 34.00/34.29 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 34.00/34.29 (define @t7 () (and @t2 @t6)) % 34.00/34.29 (define @t8 () (@list @t1 @t4)) % 34.00/34.29 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 34.00/34.29 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 34.00/34.29 (define @t11 () (@var "W2" $$unsorted)) % 34.00/34.29 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 34.00/34.29 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 34.00/34.29 (define @t14 () (and @t2 @t6 @t13)) % 34.00/34.29 (define @t15 () (@list @t1 @t4 @t11)) % 34.00/34.29 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 34.00/34.29 (define @t17 () (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))) % 34.00/34.29 (define @t18 () (forall @t15 (=> @t14 @t17))) % 34.00/34.29 (define @t19 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 34.00/34.29 (define @t20 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 34.00/34.29 (define @t21 () (and (= @t20 tptp.sz00) @t19)) % 34.00/34.29 (define @t22 () (=> @t2 @t21)) % 34.00/34.29 (define @t23 () (forall @t3 @t22)) % 34.00/34.29 (define @t24 () (tptp.sdtasdt0 @t11 @t1)) % 34.00/34.29 (define @t25 () (tptp.sdtasdt0 @t1 @t11)) % 34.00/34.29 (define @t26 () (= @t4 @t11)) % 34.00/34.29 (define @t27 () (tptp.sdtpldt0 @t11 @t1)) % 34.00/34.29 (define @t28 () (tptp.sdtpldt0 @t1 @t11)) % 34.00/34.29 (define @t29 () (= @t16 @t24)) % 34.00/34.29 (define @t30 () (= @t9 @t25)) % 34.00/34.29 (define @t31 () (and @t6 @t13)) % 34.00/34.29 (define @t32 () (= @t1 tptp.sz00)) % 34.00/34.29 (define @t33 () (not @t32)) % 34.00/34.29 (define @t34 () (= @t4 tptp.sz00)) % 34.00/34.29 (define @t35 () (or @t32 @t34)) % 34.00/34.29 (define @t36 () (=> (= @t9 tptp.sz00) @t35)) % 34.00/34.29 (define @t37 () (=> @t7 @t36)) % 34.00/34.29 (define @t38 () (forall @t8 @t37)) % 34.00/34.29 (define @t39 () (and @t13 (= @t28 @t4))) % 34.00/34.29 (define @t40 () (@list @t11)) % 34.00/34.29 (define @t41 () (tptp.sdtlseqdt0 @t1 @t4)) % 34.00/34.29 (define @t42 () (= @t1 @t4)) % 34.00/34.29 (define @t43 () (tptp.sdtlseqdt0 @t4 @t1)) % 34.00/34.29 (define @t44 () (tptp.sdtlseqdt0 @t4 @t11)) % 34.00/34.29 (define @t45 () (= @t4 @t1)) % 34.00/34.29 (define @t46 () (tptp.sdtpldt0 @t11 @t4)) % 34.00/34.29 (define @t47 () (not @t42)) % 34.00/34.29 (define @t48 () (and @t47 @t41)) % 34.00/34.29 (define @t49 () (= @t1 tptp.sz10)) % 34.00/34.29 (define @t50 () (tptp.iLess0 @t1 @t4)) % 34.00/34.29 (define @t51 () (=> @t48 @t50)) % 34.00/34.29 (define @t52 () (forall @t8 (=> @t7 @t51))) % 34.00/34.29 (define @t53 () (and @t13 (= @t4 @t25))) % 34.00/34.29 (define @t54 () (tptp.doDivides0 @t1 @t4)) % 34.00/34.29 (define @t55 () (tptp.sdtsldt0 @t4 @t1)) % 34.00/34.29 (define @t56 () (= @t11 @t55)) % 34.00/34.29 (define @t57 () (forall @t40 (= @t56 @t53))) % 34.00/34.29 (define @t58 () (and @t33 @t54)) % 34.00/34.29 (define @t59 () (=> @t58 @t57)) % 34.00/34.29 (define @t60 () (=> @t7 @t59)) % 34.00/34.29 (define @t61 () (forall @t8 @t60)) % 34.00/34.29 (define @t62 () (tptp.doDivides0 @t1 @t11)) % 34.00/34.29 (define @t63 () (tptp.doDivides0 @t1 @t12)) % 34.00/34.29 (define @t64 () (not @t34)) % 34.00/34.29 (define @t65 () (tptp.doDivides0 @t4 @t1)) % 34.00/34.29 (define @t66 () (@list @t4)) % 34.00/34.29 (define @t67 () (not @t49)) % 34.00/34.29 (define @t68 () (tptp.isPrime0 @t11)) % 34.00/34.29 (define @t69 () (= tptp.xp tptp.sz00)) % 34.00/34.29 (define @t70 () (= tptp.xm tptp.sz00)) % 34.00/34.29 (define @t71 () (tptp.aNaturalNumber0 tptp.xp)) % 34.00/34.29 (define @t72 () (tptp.aNaturalNumber0 tptp.xm)) % 34.00/34.29 (define @t73 () (tptp.aNaturalNumber0 tptp.xn)) % 34.00/34.29 (define @t74 () (not @t68)) % 34.00/34.29 (define @t75 () (tptp.iLess0 @t1 tptp.xn)) % 34.00/34.29 (define @t76 () (=> @t75 @t74)) % 34.00/34.29 (define @t77 () (= (tptp.sdtasdt0 @t11 (tptp.sdtasdt0 @t4 @t4)) (tptp.sdtasdt0 @t1 @t1))) % 34.00/34.29 (define @t78 () (=> @t77 @t76)) % 34.00/34.29 (define @t79 () (not (= @t11 tptp.sz00))) % 34.00/34.29 (define @t80 () (and @t2 @t6 @t13 @t33 @t64 @t79)) % 34.00/34.29 (define @t81 () (=> @t80 @t78)) % 34.00/34.29 (define @t82 () (forall @t15 @t81)) % 34.00/34.29 (define @t83 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 34.00/34.29 (define @t84 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 34.00/34.29 (define @t85 () (tptp.isPrime0 tptp.xp)) % 34.00/34.29 (define @t86 () (tptp.doDivides0 tptp.xp tptp.xn)) % 34.00/34.29 (define @t87 () (tptp.sdtsldt0 tptp.xn tptp.xp)) % 34.00/34.29 (define @t88 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 34.00/34.29 (define @t89 () (tptp.sdtasdt0 tptp.xp @t88)) % 34.00/34.29 (define @t90 () (= @t84 @t89)) % 34.00/34.29 (define @t91 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 34.00/34.29 (define @t92 () (= tptp.xm tptp.xn)) % 34.00/34.29 (define @t93 () (not @t75)) % 34.00/34.29 (define @t94 () (not @t77)) % 34.00/34.29 (define @t95 () (= tptp.sz00 @t11)) % 34.00/34.29 (define @t96 () (= tptp.sz00 @t4)) % 34.00/34.29 (define @t97 () (not @t13)) % 34.00/34.29 (define @t98 () (not @t6)) % 34.00/34.29 (define @t99 () (not @t2)) % 34.00/34.29 (define @t100 () (or @t99 @t98 @t97 @t32 @t96 @t95 @t94 @t93 @t74)) % 34.00/34.29 (define @t101 () (or @t94 @t93 @t74)) % 34.00/34.29 (define @t102 () (not @t95)) % 34.00/34.29 (define @t103 () (not @t102)) % 34.00/34.29 (define @t104 () (not @t96)) % 34.00/34.29 (define @t105 () (not @t104)) % 34.00/34.29 (define @t106 () (not @t33)) % 34.00/34.29 (define @t107 () (or @t99 @t98 @t97 @t106 @t105 @t103)) % 34.00/34.29 (define @t108 () (and @t2 @t6 @t13 @t33 @t104 @t102)) % 34.00/34.29 (define @t109 () (not @t41)) % 34.00/34.29 (define @t110 () (or @t99 @t98 @t42 @t109 @t50)) % 34.00/34.29 (define @t111 () (or @t42 @t109 @t50)) % 34.00/34.29 (define @t112 () (or @t99 @t98)) % 34.00/34.29 (define @t113 () (not @t7)) % 34.00/34.29 (define @t114 () (tptp.iLess0 tptp.xm tptp.xn)) % 34.00/34.29 (define @t115 () (not @t91)) % 34.00/34.29 (define @t116 () (not @t73)) % 34.00/34.29 (define @t117 () (not @t72)) % 34.00/34.29 (define @t118 () (or @t117 @t116 @t92 @t115 @t114)) % 34.00/34.29 (define @t119 () (forall @t8 @t110)) % 34.00/34.29 (define @t120 () (= tptp.xn tptp.xm)) % 34.00/34.29 (define @t121 () (or @t117 @t116 @t120 @t115 @t114)) % 34.00/34.29 (define @t122 () (@list false)) % 34.00/34.29 (define @t123 () (@list true false false false false)) % 34.00/34.29 (define @t124 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 34.00/34.29 (define @t125 () (and (tptp.aNaturalNumber0 @t124) (= @t4 (tptp.sdtasdt0 @t1 @t124)))) % 34.00/34.29 (define @t126 () (= @t125 (= @t124 @t55))) % 34.00/34.29 (define @t127 () (not @t54)) % 34.00/34.29 (define @t128 () (or @t99 @t98 @t32 @t127 @t126)) % 34.00/34.29 (define @t129 () (@list @t1 @t4 @t124)) % 34.00/34.29 (define @t130 () (forall @t129 @t128)) % 34.00/34.29 (define @t131 () (@list @t124)) % 34.00/34.29 (define @t132 () (forall @t131 @t128)) % 34.00/34.29 (define @t133 () (forall @t131 @t126)) % 34.00/34.29 (define @t134 () (or @t99 @t98 @t32 @t127 @t133)) % 34.00/34.29 (define @t135 () (forall @t40 (= @t53 @t56))) % 34.00/34.29 (define @t136 () (or @t99 @t98 @t32 @t127 @t135)) % 34.00/34.29 (define @t137 () (or @t32 @t127 @t135)) % 34.00/34.29 (define @t138 () (=> @t58 @t135)) % 34.00/34.29 (define @t139 () (tptp.sdtasdt0 tptp.xp @t87)) % 34.00/34.29 (define @t140 () (= tptp.xn @t139)) % 34.00/34.29 (define @t141 () (tptp.aNaturalNumber0 @t87)) % 34.00/34.29 (define @t142 () (and @t141 @t140)) % 34.00/34.29 (define @t143 () (= @t87 @t87)) % 34.00/34.29 (define @t144 () (not @t86)) % 34.00/34.29 (define @t145 () (not @t71)) % 34.00/34.29 (define @t146 () (or @t145 @t116 @t69 @t144 (= @t142 @t143))) % 34.00/34.29 (define @t147 () (forall @t129 (or @t99 @t98 @t32 @t127 (= @t125 (= @t55 @t124))))) % 34.00/34.29 (define @t148 () (= tptp.sz00 tptp.xp)) % 34.00/34.29 (define @t149 () (or @t145 @t116 @t148 @t144 @t142)) % 34.00/34.29 (define @t150 () (not @t142)) % 34.00/34.29 (define @t151 () (@list @t142)) % 34.00/34.29 (define @t152 () (and (= tptp.sz00 @t20) @t19)) % 34.00/34.29 (define @t153 () (tptp.sdtasdt0 tptp.xn tptp.sz00)) % 34.00/34.29 (define @t154 () (= tptp.sz00 @t153)) % 34.00/34.29 (define @t155 () (and @t154 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 34.00/34.29 (define @t156 () (or @t116 @t155)) % 34.00/34.29 (define @t157 () (or @t99 @t98 @t97 @t17)) % 34.00/34.29 (define @t158 () (or @t99 @t98 @t97)) % 34.00/34.29 (define @t159 () (tptp.sdtasdt0 @t139 @t87)) % 34.00/34.29 (define @t160 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 @t87 @t87))) % 34.00/34.29 (define @t161 () (not @t141)) % 34.00/34.29 (define @t162 () (or @t145 @t161 @t161 (= @t159 @t160))) % 34.00/34.29 (define @t163 () (forall @t15 @t157)) % 34.00/34.29 (define @t164 () (= @t160 @t159)) % 34.00/34.29 (define @t165 () (or @t145 @t161 @t161 @t164)) % 34.00/34.29 (define @t166 () (= tptp.sz00 @t9)) % 34.00/34.29 (define @t167 () (not @t166)) % 34.00/34.29 (define @t168 () (or @t99 @t98 @t167 @t32 @t96)) % 34.00/34.29 (define @t169 () (or @t167 @t32 @t96)) % 34.00/34.29 (define @t170 () (or @t32 @t96)) % 34.00/34.29 (define @t171 () (=> @t166 @t170)) % 34.00/34.29 (define @t172 () (= tptp.sz00 tptp.xm)) % 34.00/34.29 (define @t173 () (= tptp.sz00 @t84)) % 34.00/34.29 (define @t174 () (not @t173)) % 34.00/34.29 (define @t175 () (or @t117 @t117 @t174 @t70 @t172)) % 34.00/34.29 (define @t176 () (forall @t8 @t168)) % 34.00/34.29 (define @t177 () (or @t117 @t117 @t174 @t172 @t172)) % 34.00/34.29 (define @t178 () (= @t84 @t160)) % 34.00/34.29 (define @t179 () (= tptp.sz00 @t87)) % 34.00/34.29 (define @t180 () (and @t178 @t179 @t164 @t154 @t140)) % 34.00/34.29 (define @t181 () (not @t179)) % 34.00/34.29 (define @t182 () (not @t178)) % 34.00/34.29 (define @t183 () (not @t85)) % 34.00/34.29 (define @t184 () (not @t114)) % 34.00/34.29 (define @t185 () (or @t117 @t161 @t145 @t172 @t179 @t148 @t182 @t184 @t183)) % 34.00/34.29 (define @t186 () (not @t185)) % 34.00/34.29 (define @t187 () (not (= @t160 @t84))) % 34.00/34.29 (define @t188 () (or @t117 @t161 @t145 @t70 @t179 @t148 @t187 @t184 @t183)) % 34.00/34.29 (define @t189 () (forall @t15 @t100)) % 34.00/34.29 (assume @p1 (forall @t3 (=> @t2 true))) % 34.00/34.29 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 34.00/34.29 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 34.00/34.29 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 34.00/34.29 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 34.00/34.29 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 34.00/34.29 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 34.00/34.29 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 34.00/34.29 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t16)))) % 34.00/34.29 (assume @p10 @t18) % 34.00/34.29 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 34.00/34.29 (assume @p12 @t23) % 34.00/34.29 (assume @p13 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t24)))))) % 34.00/34.29 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t28) (= @t10 @t27)) @t26)))) % 34.00/34.29 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t11) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 34.00/34.29 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 34.00/34.29 (assume @p17 @t38) % 34.00/34.29 (assume @p18 (forall @t8 (=> @t7 (= @t41 (exists @t40 @t39))))) % 34.00/34.29 (assume @p19 (forall @t8 (=> @t7 (=> @t41 (forall @t40 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t39)))))) % 34.00/34.29 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.00/34.29 (assume @p21 (forall @t8 (=> @t7 (=> (and @t41 @t43) @t42)))) % 34.00/34.29 (assume @p22 (forall @t15 (=> @t14 (=> (and @t41 @t44) (tptp.sdtlseqdt0 @t1 @t11))))) % 34.00/34.29 (assume @p23 (forall @t8 (=> @t7 (or @t41 (and (not @t45) @t43))))) % 34.00/34.29 (assume @p24 (forall @t8 (=> @t7 (=> @t48 (forall @t40 (=> @t13 (and (not (= @t27 @t46)) (tptp.sdtlseqdt0 @t27 @t46) (not (= @t28 @t12)) (tptp.sdtlseqdt0 @t28 @t12)))))))) % 34.00/34.29 (assume @p25 (forall @t15 (=> @t14 (=> (and @t33 (not @t26) @t44) (and (not @t30) (tptp.sdtlseqdt0 @t9 @t25) (not @t29) (tptp.sdtlseqdt0 @t16 @t24)))))) % 34.00/34.29 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t49 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 34.00/34.29 (assume @p27 (forall @t8 (=> @t7 (=> @t33 (tptp.sdtlseqdt0 @t4 @t16))))) % 34.00/34.29 (assume @p28 (forall @t8 (=> @t7 (=> @t50 true)))) % 34.00/34.29 (assume @p29 @t52) % 34.00/34.29 (assume @p30 (forall @t8 (=> @t7 (= @t54 (exists @t40 @t53))))) % 34.00/34.29 (assume @p31 @t61) % 34.00/34.29 (assume @p32 (forall @t15 (=> @t14 (=> (and @t54 (tptp.doDivides0 @t4 @t11)) @t62)))) % 34.00/34.29 (assume @p33 (forall @t15 (=> @t14 (=> (and @t54 @t62) @t63)))) % 34.00/34.29 (assume @p34 (forall @t15 (=> @t14 (=> (and @t54 @t63) @t62)))) % 34.00/34.29 (assume @p35 (forall @t8 (=> @t7 (=> (and @t54 @t64) @t41)))) % 34.00/34.29 (assume @p36 (forall @t8 (=> @t7 (=> @t58 (forall @t40 (=> @t13 (= (tptp.sdtasdt0 @t11 @t55) (tptp.sdtsldt0 (tptp.sdtasdt0 @t11 @t4) @t1)))))))) % 34.00/34.29 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t33 @t67 (forall @t66 (=> (and @t6 @t65) (or (= @t4 tptp.sz10) @t45)))))))) % 34.00/34.29 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t67) (exists @t66 (and @t6 @t65 (tptp.isPrime0 @t4)))))) % 34.00/34.29 (assume @p39 (forall @t15 (=> @t14 (=> (and @t68 (tptp.doDivides0 @t11 @t9)) (or (tptp.doDivides0 @t11 @t1) (tptp.doDivides0 @t11 @t4)))))) % 34.00/34.29 (assume @p40 (and @t73 @t72 @t71 (not (= tptp.xn tptp.sz00)) (not @t70) (not @t69))) % 34.00/34.29 (assume @p41 @t82) % 34.00/34.29 (assume @p42 (= (tptp.sdtasdt0 tptp.xp @t84) @t83)) % 34.00/34.29 (assume @p43 @t85) % 34.00/34.29 (assume @p44 (and (tptp.doDivides0 tptp.xp @t83) @t86)) % 34.00/34.29 (assume @p45 (= tptp.xq @t87)) % 34.00/34.29 (assume @p46 @t90) % 34.00/34.29 (assume @p47 (and (not @t92) @t91)) % 34.00/34.29 (assume @p48 (not false)) % 34.00/34.29 (assume @p49 true) % 34.00/34.29 (step @p50 :rule aci_norm :args ((= (or (or @t99 @t98 @t97 @t32 @t96 @t95) @t101) @t100))) % 34.00/34.29 (step @p51 :rule aci_norm :args ((= (or @t94 (or @t93 @t74)) @t101))) % 34.00/34.29 (step @p52 :rule bool-impl-elim :args (@t75 @t74)) % 34.00/34.29 (step @p53 :rule refl :args (@t94)) % 34.00/34.29 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t94 @t76))) % 34.00/34.29 (step @p55 :rule trans :premises (@p54 @p51)) % 34.00/34.29 (step @p56 :rule bool-impl-elim :args (@t77 @t76)) % 34.00/34.29 (step @p57 :rule trans :premises (@p56 @p55)) % 34.00/34.29 (step @p58 :rule bool-double-not-elim :args (@t95)) % 34.00/34.29 (step @p59 :rule bool-double-not-elim :args (@t96)) % 34.00/34.29 (step @p60 :rule bool-double-not-elim :args (@t32)) % 34.00/34.29 (step @p61 :rule refl :args (@t97)) % 34.00/34.29 (step @p62 :rule refl :args (@t98)) % 34.00/34.29 (step @p63 :rule refl :args (@t99)) % 34.00/34.29 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59 @p58) :args (@t107)) % 34.00/34.29 (step @p65 :rule aci_norm :args ((= (or @t99 (or @t98 (or @t97 (or @t106 (or @t105 @t103))))) @t107))) % 34.00/34.29 (step @p66 :rule trans :premises (@p65 @p64)) % 34.00/34.29 (step @p67 :rule bool-and-de-morgan :args (@t104 @t102 true)) % 34.00/34.29 (step @p68 :rule refl :args (@t106)) % 34.00/34.29 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t106 (not (and @t104 @t102))))) % 34.00/34.29 (step @p70 :rule bool-and-de-morgan :args (@t33 @t104 (and @t102))) % 34.00/34.29 (step @p71 :rule trans :premises (@p70 @p69)) % 34.00/34.29 (step @p72 :rule nary_cong :premises (@p61 @p71) :args ((or @t97 (not (and @t33 @t104 @t102))))) % 34.00/34.29 (step @p73 :rule bool-and-de-morgan :args (@t13 @t33 (and @t104 @t102))) % 34.00/34.29 (step @p74 :rule trans :premises (@p73 @p72)) % 34.00/34.29 (step @p75 :rule nary_cong :premises (@p62 @p74) :args ((or @t98 (not (and @t13 @t33 @t104 @t102))))) % 34.00/34.29 (step @p76 :rule bool-and-de-morgan :args (@t6 @t13 (and @t33 @t104 @t102))) % 34.00/34.29 (step @p77 :rule trans :premises (@p76 @p75)) % 34.00/34.29 (step @p78 :rule nary_cong :premises (@p63 @p77) :args ((or @t99 (not (and @t6 @t13 @t33 @t104 @t102))))) % 34.00/34.29 (step @p79 :rule bool-and-de-morgan :args (@t2 @t6 (and @t13 @t33 @t104 @t102))) % 34.00/34.29 (step @p80 :rule trans :premises (@p79 @p78)) % 34.00/34.29 (step @p81 :rule trans :premises (@p80 @p66)) % 34.00/34.29 (step @p82 :rule nary_cong :premises (@p81 @p57) :args ((or (not @t108) @t78))) % 34.00/34.29 (step @p83 :rule trans :premises (@p82 @p50)) % 34.00/34.29 (step @p84 :rule bool-impl-elim :args (@t108 @t78)) % 34.00/34.29 (step @p85 :rule trans :premises (@p84 @p83)) % 34.00/34.29 (step @p86 :rule cong :premises (@p85) :args ((forall @t15 (=> @t108 @t78)))) % 34.00/34.29 (step @p87 :rule refl :args (@t78)) % 34.00/34.29 (step @p88 :rule eq-symm :args (@t11 tptp.sz00)) % 34.00/34.29 (step @p89 :rule cong :premises (@p88) :args (@t79)) % 34.00/34.29 (step @p90 :rule eq-symm :args (@t4 tptp.sz00)) % 34.00/34.29 (step @p91 :rule cong :premises (@p90) :args (@t64)) % 34.00/34.29 (step @p92 :rule refl :args (@t33)) % 34.00/34.29 (step @p93 :rule refl :args (@t13)) % 34.00/34.29 (step @p94 :rule refl :args (@t6)) % 34.00/34.29 (step @p95 :rule refl :args (@t2)) % 34.00/34.29 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p89) :args (@t80)) % 34.00/34.29 (step @p97 :rule cong :premises (@p96 @p87) :args (@t81)) % 34.00/34.29 (step @p98 :rule cong :premises (@p97) :args (@t82)) % 34.00/34.29 (step @p99 :rule trans :premises (@p98 @p86)) % 34.00/34.29 (step @p100 :rule eq_resolve :premises (@p41 @p99)) % 34.00/34.29 (step @p101 :rule aci_norm :args ((= (or @t112 @t111) @t110))) % 34.00/34.29 (step @p102 :rule aci_norm :args ((= (or (or @t42 @t109) @t50) @t111))) % 34.00/34.29 (step @p103 :rule refl :args (@t50)) % 34.00/34.29 (step @p104 :rule refl :args (@t109)) % 34.00/34.29 (step @p105 :rule bool-double-not-elim :args (@t42)) % 34.00/34.29 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t47) @t109))) % 34.00/34.29 (step @p107 :rule bool-and-de-morgan :args (@t47 @t41 true)) % 34.00/34.29 (step @p108 :rule trans :premises (@p107 @p106)) % 34.00/34.29 (step @p109 :rule nary_cong :premises (@p108 @p103) :args ((or (not @t48) @t50))) % 34.00/34.29 (step @p110 :rule trans :premises (@p109 @p102)) % 34.00/34.29 (step @p111 :rule bool-impl-elim :args (@t48 @t50)) % 34.00/34.29 (step @p112 :rule trans :premises (@p111 @p110)) % 34.00/34.29 (step @p113 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 34.00/34.29 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t113 @t51))) % 34.00/34.29 (step @p115 :rule trans :premises (@p114 @p101)) % 34.00/34.29 (step @p116 :rule bool-impl-elim :args (@t7 @t51)) % 34.00/34.29 (step @p117 :rule trans :premises (@p116 @p115)) % 34.00/34.29 (step @p118 :rule cong :premises (@p117) :args (@t52)) % 34.00/34.29 (step @p119 :rule eq_resolve :premises (@p29 @p118)) % 34.00/34.29 (step @p120 :rule refl :args (@t114)) % 34.00/34.29 (step @p121 :rule refl :args (@t115)) % 34.00/34.29 (step @p122 :rule eq-symm :args (tptp.xm tptp.xn)) % 34.00/34.29 (step @p123 :rule refl :args (@t116)) % 34.00/34.29 (step @p124 :rule refl :args (@t117)) % 34.00/34.29 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120) :args (@t118)) % 34.00/34.29 (step @p126 :rule refl :args (@t119)) % 34.00/34.29 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t119 @t118))) % 34.00/34.29 (assume-push @p362 @t119) % 34.00/34.29 (step @p129 :rule instantiate :premises (@p119) :args ((@list tptp.xm tptp.xn))) % 34.00/34.29 (step-pop @p363 :rule scope :premises (@p129)) % 34.00/34.29 (step @p130 :rule process_scope :premises (@p363) :args (@t118)) % 34.00/34.29 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 34.00/34.29 (step @p133 :rule implies_elim :premises (@p132)) % 34.00/34.29 (step @p134 :rule chain_m_resolution :premises (@p133 @p119) :args (@t121 @t122 (@list @t119))) % 34.00/34.29 (step @p135 :rule and_elim :premises (@p47) :args (1)) % 34.00/34.29 (step @p136 :rule and_elim :premises (@p40) :args (1)) % 34.00/34.29 (step @p137 :rule and_elim :premises (@p40) :args (0)) % 34.00/34.29 (step @p138 :rule and_elim :premises (@p47) :args (0)) % 34.00/34.29 (step @p139 :rule symm :premises (@p138)) % 34.00/34.29 (step @p140 :rule cnf_or_pos :args (@t121)) % 34.00/34.29 (step @p141 :rule reordering :premises (@p140) :args ((or @t120 @t116 @t117 @t115 @t114 (not @t121)))) % 34.00/34.29 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p137 @p136 @p135 @p134) :args (@t114 @t123 (@list @t120 @t73 @t72 @t91 @t121))) % 34.00/34.29 (step @p143 :rule eq-symm :args (@t124 @t55)) % 34.00/34.29 (step @p144 :rule refl :args (@t125)) % 34.00/34.29 (step @p145 :rule cong :premises (@p144 @p143) :args (@t126)) % 34.00/34.29 (step @p146 :rule refl :args (@t127)) % 34.00/34.29 (step @p147 :rule refl :args (@t32)) % 34.00/34.29 (step @p148 :rule refl :args (@t98)) % 34.00/34.29 (step @p149 :rule refl :args (@t99)) % 34.00/34.29 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145) :args (@t128)) % 34.00/34.29 (step @p151 :rule cong :premises (@p150) :args (@t130)) % 34.00/34.29 (step @p152 :rule quant-merge-prenex :args ((= (forall @t8 @t132) @t130))) % 34.00/34.29 (step @p153 :rule alpha_equiv :args (@t133 (@list @t124) (@list @t11))) % 34.00/34.29 (step @p154 :rule refl :args (@t127)) % 34.00/34.29 (step @p155 :rule refl :args (@t32)) % 34.00/34.29 (step @p156 :rule nary_cong :premises (@p63 @p62 @p155 @p154 @p153) :args (@t134)) % 34.00/34.29 (step @p157 :rule quant-miniscope-or :args ((= @t132 @t134))) % 34.00/34.29 (step @p158 :rule trans :premises (@p157 @p156)) % 34.00/34.29 (step @p159 :rule symm :premises (@p158)) % 34.00/34.29 (step @p160 :rule cong :premises (@p159) :args ((forall @t8 @t136))) % 34.00/34.29 (step @p161 :rule trans :premises (@p160 @p152)) % 34.00/34.29 (step @p162 :rule trans :premises (@p161 @p151)) % 34.00/34.29 (step @p163 :rule aci_norm :args ((= (or @t112 @t137) @t136))) % 34.00/34.29 (step @p164 :rule aci_norm :args ((= (or (or @t32 @t127) @t135) @t137))) % 34.00/34.29 (step @p165 :rule refl :args (@t135)) % 34.00/34.29 (step @p166 :rule nary_cong :premises (@p60 @p154) :args ((or @t106 @t127))) % 34.00/34.29 (step @p167 :rule bool-and-de-morgan :args (@t33 @t54 true)) % 34.00/34.29 (step @p168 :rule trans :premises (@p167 @p166)) % 34.00/34.29 (step @p169 :rule nary_cong :premises (@p168 @p165) :args ((or (not @t58) @t135))) % 34.00/34.29 (step @p170 :rule trans :premises (@p169 @p164)) % 34.00/34.29 (step @p171 :rule bool-impl-elim :args (@t58 @t135)) % 34.00/34.29 (step @p172 :rule trans :premises (@p171 @p170)) % 34.00/34.29 (step @p173 :rule nary_cong :premises (@p113 @p172) :args ((or @t113 @t138))) % 34.00/34.29 (step @p174 :rule trans :premises (@p173 @p163)) % 34.00/34.29 (step @p175 :rule bool-impl-elim :args (@t7 @t138)) % 34.00/34.29 (step @p176 :rule trans :premises (@p175 @p174)) % 34.00/34.29 (step @p177 :rule cong :premises (@p176) :args ((forall @t8 (=> @t7 @t138)))) % 34.00/34.29 (step @p178 :rule trans :premises (@p177 @p162)) % 34.00/34.29 (step @p179 :rule eq-symm :args (@t56 @t53)) % 34.00/34.29 (step @p180 :rule cong :premises (@p179) :args (@t57)) % 34.00/34.29 (step @p181 :rule refl :args (@t58)) % 34.00/34.29 (step @p182 :rule cong :premises (@p181 @p180) :args (@t59)) % 34.00/34.29 (step @p183 :rule refl :args (@t7)) % 34.00/34.29 (step @p184 :rule cong :premises (@p183 @p182) :args (@t60)) % 34.00/34.29 (step @p185 :rule cong :premises (@p184) :args (@t61)) % 34.00/34.29 (step @p186 :rule trans :premises (@p185 @p178)) % 34.00/34.29 (step @p187 :rule eq_resolve :premises (@p31 @p186)) % 34.00/34.29 (step @p188 :rule bool-eq-true :args (@t142)) % 34.00/34.29 (step @p189 :rule eq-symm :args (true @t142)) % 34.00/34.29 (step @p190 :rule trans :premises (@p189 @p188)) % 34.00/34.29 (step @p191 :rule refl :args (@t142)) % 34.00/34.29 (step @p192 :rule eq-refl :args (@t87)) % 34.00/34.29 (step @p193 :rule cong :premises (@p192 @p191) :args ((= @t143 @t142))) % 34.00/34.29 (step @p194 :rule trans :premises (@p193 @p190)) % 34.00/34.29 (step @p195 :rule eq-symm :args (@t142 @t143)) % 34.00/34.29 (step @p196 :rule trans :premises (@p195 @p194)) % 34.00/34.29 (step @p197 :rule refl :args (@t144)) % 34.00/34.29 (step @p198 :rule eq-symm :args (tptp.xp tptp.sz00)) % 34.00/34.29 (step @p199 :rule refl :args (@t145)) % 34.00/34.29 (step @p200 :rule nary_cong :premises (@p199 @p123 @p198 @p197 @p196) :args (@t146)) % 34.00/34.29 (step @p201 :rule refl :args (@t147)) % 34.00/34.29 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t147 @t146))) % 34.00/34.29 (assume-push @p364 @t147) % 34.00/34.29 (step @p204 :rule instantiate :premises (@p187) :args ((@list tptp.xp tptp.xn @t87))) % 34.00/34.29 (step-pop @p365 :rule scope :premises (@p204)) % 34.00/34.29 (step @p205 :rule process_scope :premises (@p365) :args (@t146)) % 34.00/34.29 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 34.00/34.29 (step @p208 :rule implies_elim :premises (@p207)) % 34.00/34.29 (step @p209 :rule chain_m_resolution :premises (@p208 @p187) :args (@t149 @t122 (@list @t147))) % 34.00/34.29 (step @p210 :rule and_elim :premises (@p44) :args (1)) % 34.00/34.29 (step @p211 :rule and_elim :premises (@p40) :args (2)) % 34.00/34.29 (step @p212 :rule and_elim :premises (@p40) :args (5)) % 34.00/34.29 (step @p213 :rule symm :premises (@p212)) % 34.00/34.29 (step @p214 :rule cnf_or_pos :args (@t149)) % 34.00/34.29 (step @p215 :rule reordering :premises (@p214) :args ((or @t148 @t116 @t145 @t144 @t142 (not @t149)))) % 34.00/34.29 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p137 @p211 @p210 @p209) :args (@t142 @t123 (@list @t148 @t73 @t71 @t86 @t149))) % 34.00/34.29 (step @p217 :rule cnf_and_pos :args (@t142 1)) % 34.00/34.29 (step @p218 :rule reordering :premises (@p217) :args ((or @t140 @t150))) % 34.00/34.29 (step @p219 :rule chain_m_resolution :premises (@p218 @p216) :args (@t140 @t122 @t151)) % 34.00/34.29 (step @p220 :rule bool-impl-elim :args (@t2 @t152)) % 34.00/34.29 (step @p221 :rule cong :premises (@p220) :args ((forall @t3 (=> @t2 @t152)))) % 34.00/34.29 (step @p222 :rule refl :args (@t19)) % 34.00/34.29 (step @p223 :rule eq-symm :args (@t20 tptp.sz00)) % 34.00/34.29 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t21)) % 34.00/34.29 (step @p225 :rule cong :premises (@p95 @p224) :args (@t22)) % 34.00/34.29 (step @p226 :rule cong :premises (@p225) :args (@t23)) % 34.00/34.29 (step @p227 :rule trans :premises (@p226 @p221)) % 34.00/34.29 (step @p228 :rule eq_resolve :premises (@p12 @p227)) % 34.00/34.29 (step @p229 :rule instantiate :premises (@p228) :args ((@list tptp.xn))) % 34.00/34.29 (step @p230 :rule cnf_or_pos :args (@t156)) % 34.00/34.29 (step @p231 :rule reordering :premises (@p230) :args ((or @t116 @t155 (not @t156)))) % 34.00/34.29 (step @p232 :rule chain_m_resolution :premises (@p231 @p137 @p229) :args (@t155 (@list false false) (@list @t73 @t156))) % 34.00/34.29 (step @p233 :rule cnf_and_pos :args (@t155 0)) % 34.00/34.29 (step @p234 :rule reordering :premises (@p233) :args ((or @t154 (not @t155)))) % 34.00/34.29 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t154 @t122 (@list @t155))) % 34.00/34.29 (step @p236 :rule aci_norm :args ((= (or @t158 @t17) @t157))) % 34.00/34.29 (step @p237 :rule refl :args (@t17)) % 34.00/34.29 (step @p238 :rule aci_norm :args ((= (or @t99 (or @t98 @t97)) @t158))) % 34.00/34.29 (step @p239 :rule bool-and-de-morgan :args (@t6 @t13 true)) % 34.00/34.29 (step @p240 :rule nary_cong :premises (@p63 @p239) :args ((or @t99 (not @t31)))) % 34.00/34.29 (step @p241 :rule bool-and-de-morgan :args (@t2 @t6 (and @t13))) % 34.00/34.29 (step @p242 :rule trans :premises (@p241 @p240)) % 34.00/34.29 (step @p243 :rule trans :premises (@p242 @p238)) % 34.00/34.29 (step @p244 :rule nary_cong :premises (@p243 @p237) :args ((or (not @t14) @t17))) % 34.00/34.29 (step @p245 :rule trans :premises (@p244 @p236)) % 34.00/34.29 (step @p246 :rule bool-impl-elim :args (@t14 @t17)) % 34.00/34.29 (step @p247 :rule trans :premises (@p246 @p245)) % 34.00/34.29 (step @p248 :rule cong :premises (@p247) :args (@t18)) % 34.00/34.29 (step @p249 :rule eq_resolve :premises (@p10 @p248)) % 34.00/34.29 (step @p250 :rule eq-symm :args (@t159 @t160)) % 34.00/34.29 (step @p251 :rule refl :args (@t161)) % 34.00/34.29 (step @p252 :rule nary_cong :premises (@p199 @p251 @p251 @p250) :args (@t162)) % 34.00/34.29 (step @p253 :rule refl :args (@t163)) % 34.00/34.29 (step @p254 :rule cong :premises (@p253 @p252) :args ((=> @t163 @t162))) % 34.00/34.29 (assume-push @p366 @t163) % 34.00/34.29 (step @p256 :rule instantiate :premises (@p249) :args ((@list tptp.xp @t87 @t87))) % 34.00/34.29 (step-pop @p367 :rule scope :premises (@p256)) % 34.00/34.29 (step @p257 :rule process_scope :premises (@p367) :args (@t162)) % 34.00/34.29 (step @p259 :rule eq_resolve :premises (@p257 @p254)) % 34.00/34.29 (step @p260 :rule implies_elim :premises (@p259)) % 34.00/34.29 (step @p261 :rule chain_m_resolution :premises (@p260 @p249) :args (@t165 @t122 (@list @t163))) % 34.00/34.29 (step @p262 :rule cnf_and_pos :args (@t142 0)) % 34.00/34.29 (step @p263 :rule reordering :premises (@p262) :args ((or @t141 @t150))) % 34.00/34.29 (step @p264 :rule chain_m_resolution :premises (@p263 @p216) :args (@t141 @t122 @t151)) % 34.00/34.29 (step @p265 :rule cnf_or_pos :args (@t165)) % 34.00/34.29 (step @p266 :rule factoring :premises (@p265)) % 34.00/34.29 (step @p267 :rule reordering :premises (@p266) :args ((or @t145 @t161 @t164 (not @t165)))) % 34.00/34.29 (step @p268 :rule chain_m_resolution :premises (@p267 @p211 @p264 @p261) :args (@t164 (@list false false false) (@list @t71 @t141 @t165))) % 34.00/34.29 (step @p269 :rule aci_norm :args ((= (or @t112 @t169) @t168))) % 34.00/34.29 (step @p270 :rule aci_norm :args ((= (or @t167 @t170) @t169))) % 34.00/34.29 (step @p271 :rule bool-impl-elim :args (@t166 @t170)) % 34.00/34.29 (step @p272 :rule trans :premises (@p271 @p270)) % 34.00/34.29 (step @p273 :rule nary_cong :premises (@p113 @p272) :args ((or @t113 @t171))) % 34.00/34.29 (step @p274 :rule trans :premises (@p273 @p269)) % 34.00/34.29 (step @p275 :rule bool-impl-elim :args (@t7 @t171)) % 34.00/34.29 (step @p276 :rule trans :premises (@p275 @p274)) % 34.00/34.29 (step @p277 :rule cong :premises (@p276) :args ((forall @t8 (=> @t7 @t171)))) % 34.00/34.29 (step @p278 :rule nary_cong :premises (@p147 @p90) :args (@t35)) % 34.00/34.29 (step @p279 :rule eq-symm :args (@t9 tptp.sz00)) % 34.00/34.29 (step @p280 :rule cong :premises (@p279 @p278) :args (@t36)) % 34.00/34.29 (step @p281 :rule cong :premises (@p183 @p280) :args (@t37)) % 34.00/34.29 (step @p282 :rule cong :premises (@p281) :args (@t38)) % 34.00/34.29 (step @p283 :rule trans :premises (@p282 @p277)) % 34.00/34.29 (step @p284 :rule eq_resolve :premises (@p17 @p283)) % 34.00/34.29 (step @p285 :rule refl :args (@t172)) % 34.00/34.29 (step @p286 :rule eq-symm :args (tptp.xm tptp.sz00)) % 34.00/34.29 (step @p287 :rule refl :args (@t174)) % 34.00/34.29 (step @p288 :rule nary_cong :premises (@p124 @p124 @p287 @p286 @p285) :args (@t175)) % 34.00/34.29 (step @p289 :rule refl :args (@t176)) % 34.00/34.29 (step @p290 :rule cong :premises (@p289 @p288) :args ((=> @t176 @t175))) % 34.00/34.29 (assume-push @p368 @t176) % 34.00/34.29 (step @p292 :rule instantiate :premises (@p284) :args ((@list tptp.xm tptp.xm))) % 34.00/34.29 (step-pop @p369 :rule scope :premises (@p292)) % 34.00/34.29 (step @p293 :rule process_scope :premises (@p369) :args (@t175)) % 34.00/34.29 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 34.00/34.29 (step @p296 :rule implies_elim :premises (@p295)) % 34.00/34.29 (step @p297 :rule chain_m_resolution :premises (@p296 @p284) :args (@t177 @t122 (@list @t176))) % 34.00/34.29 (step @p298 :rule and_elim :premises (@p40) :args (4)) % 34.00/34.29 (step @p299 :rule symm :premises (@p298)) % 34.00/34.29 (step @p300 :rule cnf_or_pos :args (@t177)) % 34.00/34.29 (step @p301 :rule factoring :premises (@p300)) % 34.00/34.29 (step @p302 :rule reordering :premises (@p301) :args ((or @t172 @t117 @t174 (not @t177)))) % 34.00/34.29 (step @p303 :rule chain_m_resolution :premises (@p302 @p299 @p136 @p297) :args (@t174 (@list true false false) (@list @t172 @t72 @t177))) % 34.00/34.29 (step @p304 :rule cong :premises (@p45 @p45) :args (@t88)) % 34.00/34.29 (step @p305 :rule refl :args (tptp.xp)) % 34.00/34.29 (step @p306 :rule cong :premises (@p305 @p304) :args (@t89)) % 34.00/34.29 (step @p307 :rule refl :args (@t84)) % 34.00/34.29 (step @p308 :rule cong :premises (@p307 @p306) :args (@t90)) % 34.00/34.29 (step @p309 :rule eq_resolve :premises (@p46 @p308)) % 34.00/34.29 (assume-push @p370 @t178) % 34.00/34.29 (assume-push @p371 @t179) % 34.00/34.29 (assume-push @p372 @t164) % 34.00/34.29 (assume-push @p373 @t154) % 34.00/34.29 (assume-push @p374 @t140) % 34.00/34.29 (assume-push @p375 @t178) % 34.00/34.29 (assume-push @p376 @t164) % 34.00/34.29 (assume-push @p377 @t140) % 34.00/34.29 (assume-push @p378 @t179) % 34.00/34.29 (assume-push @p379 @t154) % 34.00/34.29 (step @p320 :rule symm :premises (@p309)) % 34.00/34.29 (step @p321 :rule symm :premises (@p268)) % 34.00/34.29 (step @p322 :rule cong :premises (@p219 @p371) :args (@t153)) % 34.00/34.29 (step @p323 :rule trans :premises (@p235 @p322 @p321 @p320)) % 34.00/34.29 (step-pop @p380 :rule scope :premises (@p323)) % 34.00/34.29 (step-pop @p381 :rule scope :premises (@p380)) % 34.00/34.29 (step-pop @p382 :rule scope :premises (@p381)) % 34.00/34.29 (step-pop @p383 :rule scope :premises (@p382)) % 34.00/34.29 (step-pop @p384 :rule scope :premises (@p383)) % 34.00/34.29 (step @p324 :rule process_scope :premises (@p384) :args (@t173)) % 34.00/34.29 (step @p330 :rule and_intro :premises (@p309 @p268 @p219 @p371 @p235)) % 34.00/34.29 (step @p331 :rule modus_ponens :premises (@p330 @p324)) % 34.00/34.29 (step-pop @p385 :rule scope :premises (@p331)) % 34.00/34.29 (step-pop @p386 :rule scope :premises (@p385)) % 34.00/34.29 (step-pop @p387 :rule scope :premises (@p386)) % 34.00/34.29 (step-pop @p388 :rule scope :premises (@p387)) % 34.00/34.29 (step-pop @p389 :rule scope :premises (@p388)) % 34.00/34.29 (step @p332 :rule process_scope :premises (@p389) :args (@t173)) % 34.00/34.29 (step @p338 :rule implies_elim :premises (@p332)) % 34.00/34.29 (step @p339 :rule cnf_and_neg :args (@t180)) % 34.00/34.29 (step @p340 :rule resolution :premises (@p339 @p338) :args (true @t180)) % 34.00/34.29 (step @p341 :rule reordering :premises (@p340) :args ((or @t182 @t173 @t181 (not @t164) (not @t154) (not @t140)))) % 34.00/34.29 (step @p342 :rule chain_m_resolution :premises (@p341 @p309 @p303 @p268 @p235 @p219) :args (@t181 (@list false true false false false) (@list @t178 @t173 @t164 @t154 @t140))) % 34.00/34.29 (step @p343 :rule cnf_or_pos :args (@t185)) % 34.00/34.29 (step @p344 :rule reordering :premises (@p343) :args ((or @t148 @t172 @t117 @t145 @t183 @t182 @t161 @t179 @t184 @t186))) % 34.00/34.29 (step @p345 :rule chain_m_resolution :premises (@p344 @p213 @p299 @p136 @p211 @p43 @p309 @p264 @p342 @p142) :args (@t186 (@list true true false false false false false true false) (@list @t148 @t172 @t72 @t71 @t85 @t178 @t141 @t179 @t114))) % 34.00/34.29 (step @p346 :rule refl :args (@t183)) % 34.00/34.29 (step @p347 :rule refl :args (@t184)) % 34.00/34.29 (step @p348 :rule eq-symm :args (@t160 @t84)) % 34.00/34.29 (step @p349 :rule cong :premises (@p348) :args (@t187)) % 34.00/34.29 (step @p350 :rule refl :args (@t148)) % 34.00/34.29 (step @p351 :rule refl :args (@t179)) % 34.00/34.29 (step @p352 :rule nary_cong :premises (@p124 @p251 @p199 @p286 @p351 @p350 @p349 @p347 @p346) :args (@t188)) % 34.00/34.29 (step @p353 :rule refl :args (@t189)) % 34.00/34.29 (step @p354 :rule cong :premises (@p353 @p352) :args ((=> @t189 @t188))) % 34.00/34.29 (assume-push @p390 @t189) % 34.00/34.29 (step @p356 :rule instantiate :premises (@p100) :args ((@list tptp.xm @t87 tptp.xp))) % 34.00/34.29 (step-pop @p391 :rule scope :premises (@p356)) % 34.00/34.29 (step @p357 :rule process_scope :premises (@p391) :args (@t188)) % 34.00/34.29 (step @p359 :rule eq_resolve :premises (@p357 @p354)) % 34.00/34.29 (step @p360 :rule implies_elim :premises (@p359)) % 34.00/34.29 (step @p361 false :rule chain_m_resolution :premises (@p360 @p345 @p100) :args (false (@list true false) (@list @t185 @t189))) % 34.00/34.29 ) % 34.00/34.29 % SZS output end Proof % 34.00/34.29 % cvc5 exiting %------------------------------------------------------------------------------