%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM529+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 : 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 27.85s 28.09s % Output : Proof 27.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM529+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 27.85/28.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.85/28.09 --- Run --no-e-matching --full-saturate-quant at 6... % 27.85/28.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.09 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.85/28.09 % SZS status Theorem % 27.85/28.09 % SZS output start Proof % 27.85/28.09 ( % 27.85/28.09 (declare-sort $$unsorted 0) % 27.85/28.09 (declare-const tptp.xq $$unsorted) % 27.85/28.09 (declare-const tptp.xp $$unsorted) % 27.85/28.09 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 27.85/28.09 (declare-const tptp.sz10 $$unsorted) % 27.85/28.09 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 27.85/28.09 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 27.85/28.09 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 27.85/28.09 (declare-const tptp.sz00 $$unsorted) % 27.85/28.09 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 27.85/28.09 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 27.85/28.09 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 27.85/28.09 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 27.85/28.09 (declare-const tptp.xn $$unsorted) % 27.85/28.09 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 27.85/28.09 (declare-const tptp.xm $$unsorted) % 27.85/28.09 (define @t1 () (@var "W0" $$unsorted)) % 27.85/28.09 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 27.85/28.09 (define @t3 () (@list @t1)) % 27.85/28.09 (define @t4 () (@var "W1" $$unsorted)) % 27.85/28.09 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 27.85/28.09 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 27.85/28.09 (define @t7 () (and @t2 @t6)) % 27.85/28.09 (define @t8 () (@list @t1 @t4)) % 27.85/28.09 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 27.85/28.09 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 27.85/28.09 (define @t11 () (@var "W2" $$unsorted)) % 27.85/28.09 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 27.85/28.09 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 27.85/28.09 (define @t14 () (and @t2 @t6 @t13)) % 27.85/28.09 (define @t15 () (@list @t1 @t4 @t11)) % 27.85/28.09 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 27.85/28.09 (define @t17 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 27.85/28.09 (define @t18 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 27.85/28.09 (define @t19 () (and (= @t18 tptp.sz00) @t17)) % 27.85/28.09 (define @t20 () (=> @t2 @t19)) % 27.85/28.09 (define @t21 () (forall @t3 @t20)) % 27.85/28.09 (define @t22 () (tptp.sdtasdt0 @t11 @t1)) % 27.85/28.09 (define @t23 () (tptp.sdtasdt0 @t1 @t11)) % 27.85/28.09 (define @t24 () (= @t4 @t11)) % 27.85/28.09 (define @t25 () (tptp.sdtpldt0 @t11 @t1)) % 27.85/28.09 (define @t26 () (tptp.sdtpldt0 @t1 @t11)) % 27.85/28.09 (define @t27 () (= @t16 @t22)) % 27.85/28.09 (define @t28 () (= @t9 @t23)) % 27.85/28.09 (define @t29 () (= @t1 tptp.sz00)) % 27.85/28.09 (define @t30 () (not @t29)) % 27.85/28.09 (define @t31 () (= @t4 tptp.sz00)) % 27.85/28.09 (define @t32 () (and @t13 (= @t26 @t4))) % 27.85/28.09 (define @t33 () (@list @t11)) % 27.85/28.09 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 27.85/28.09 (define @t35 () (= @t1 @t4)) % 27.85/28.09 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 27.85/28.09 (define @t37 () (tptp.sdtlseqdt0 @t4 @t11)) % 27.85/28.09 (define @t38 () (= @t4 @t1)) % 27.85/28.09 (define @t39 () (tptp.sdtpldt0 @t11 @t4)) % 27.85/28.09 (define @t40 () (not @t35)) % 27.85/28.09 (define @t41 () (and @t40 @t34)) % 27.85/28.09 (define @t42 () (= @t1 tptp.sz10)) % 27.85/28.09 (define @t43 () (tptp.iLess0 @t1 @t4)) % 27.85/28.09 (define @t44 () (=> @t41 @t43)) % 27.85/28.09 (define @t45 () (forall @t8 (=> @t7 @t44))) % 27.85/28.09 (define @t46 () (and @t13 (= @t4 @t23))) % 27.85/28.09 (define @t47 () (tptp.doDivides0 @t1 @t4)) % 27.85/28.09 (define @t48 () (tptp.sdtsldt0 @t4 @t1)) % 27.85/28.09 (define @t49 () (and @t30 @t47)) % 27.85/28.09 (define @t50 () (tptp.doDivides0 @t1 @t11)) % 27.85/28.09 (define @t51 () (tptp.doDivides0 @t1 @t12)) % 27.85/28.09 (define @t52 () (not @t31)) % 27.85/28.09 (define @t53 () (tptp.doDivides0 @t4 @t1)) % 27.85/28.09 (define @t54 () (@list @t4)) % 27.85/28.09 (define @t55 () (not @t42)) % 27.85/28.09 (define @t56 () (tptp.isPrime0 @t11)) % 27.85/28.09 (define @t57 () (= tptp.xm tptp.sz00)) % 27.85/28.09 (define @t58 () (not (= tptp.xn tptp.sz00))) % 27.85/28.09 (define @t59 () (tptp.aNaturalNumber0 tptp.xp)) % 27.85/28.09 (define @t60 () (tptp.aNaturalNumber0 tptp.xm)) % 27.85/28.09 (define @t61 () (tptp.aNaturalNumber0 tptp.xn)) % 27.85/28.09 (define @t62 () (@var "W3" $$unsorted)) % 27.85/28.09 (define @t63 () (or (= @t62 tptp.sz10) (= @t62 @t11))) % 27.85/28.09 (define @t64 () (tptp.doDivides0 @t62 @t11)) % 27.85/28.09 (define @t65 () (@var "W4" $$unsorted)) % 27.85/28.09 (define @t66 () (= @t11 (tptp.sdtasdt0 @t62 @t65))) % 27.85/28.09 (define @t67 () (tptp.aNaturalNumber0 @t65)) % 27.85/28.09 (define @t68 () (and @t67 @t66)) % 27.85/28.09 (define @t69 () (@list @t65)) % 27.85/28.09 (define @t70 () (exists @t69 @t68)) % 27.85/28.09 (define @t71 () (tptp.aNaturalNumber0 @t62)) % 27.85/28.09 (define @t72 () (and @t71 @t70 @t64)) % 27.85/28.09 (define @t73 () (=> @t72 @t63)) % 27.85/28.09 (define @t74 () (@list @t62)) % 27.85/28.09 (define @t75 () (forall @t74 @t73)) % 27.85/28.09 (define @t76 () (not (= @t11 tptp.sz10))) % 27.85/28.09 (define @t77 () (and @t76 @t75)) % 27.85/28.09 (define @t78 () (or @t77 @t56)) % 27.85/28.09 (define @t79 () (not @t78)) % 27.85/28.09 (define @t80 () (tptp.iLess0 @t1 tptp.xn)) % 27.85/28.09 (define @t81 () (=> @t80 @t79)) % 27.85/28.09 (define @t82 () (= (tptp.sdtasdt0 @t11 (tptp.sdtasdt0 @t4 @t4)) (tptp.sdtasdt0 @t1 @t1))) % 27.85/28.09 (define @t83 () (=> @t82 @t81)) % 27.85/28.09 (define @t84 () (not (= @t11 tptp.sz00))) % 27.85/28.09 (define @t85 () (and @t2 @t6 @t13 @t30 @t52 @t84)) % 27.85/28.09 (define @t86 () (=> @t85 @t83)) % 27.85/28.09 (define @t87 () (forall @t15 @t86)) % 27.85/28.09 (define @t88 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 27.85/28.09 (define @t89 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 27.85/28.09 (define @t90 () (tptp.isPrime0 tptp.xp)) % 27.85/28.09 (define @t91 () (tptp.sdtasdt0 tptp.xp @t1)) % 27.85/28.09 (define @t92 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 27.85/28.09 (define @t93 () (tptp.aNaturalNumber0 tptp.xq)) % 27.85/28.09 (define @t94 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 tptp.xq tptp.xq))) % 27.85/28.09 (define @t95 () (= @t89 @t94)) % 27.85/28.09 (define @t96 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 27.85/28.09 (define @t97 () (not (= tptp.xm tptp.xn))) % 27.85/28.09 (define @t98 () (not @t34)) % 27.85/28.09 (define @t99 () (not @t6)) % 27.85/28.09 (define @t100 () (not @t2)) % 27.85/28.09 (define @t101 () (or @t100 @t99 @t35 @t98 @t43)) % 27.85/28.09 (define @t102 () (or @t35 @t98 @t43)) % 27.85/28.09 (define @t103 () (not @t56)) % 27.85/28.09 (define @t104 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 27.85/28.09 (define @t105 () (tptp.sdtasdt0 @t62 @t104)) % 27.85/28.09 (define @t106 () (not (= @t11 @t105))) % 27.85/28.09 (define @t107 () (not (tptp.aNaturalNumber0 @t104))) % 27.85/28.09 (define @t108 () (= @t11 @t62)) % 27.85/28.09 (define @t109 () (= tptp.sz10 @t62)) % 27.85/28.09 (define @t110 () (not @t64)) % 27.85/28.09 (define @t111 () (not @t71)) % 27.85/28.09 (define @t112 () (or @t111 @t110 @t109 @t108 @t107 @t106)) % 27.85/28.09 (define @t113 () (@list @t62 @t104)) % 27.85/28.09 (define @t114 () (forall @t113 @t112)) % 27.85/28.09 (define @t115 () (not @t114)) % 27.85/28.09 (define @t116 () (= tptp.sz10 @t11)) % 27.85/28.09 (define @t117 () (and (or @t116 @t115) @t103)) % 27.85/28.09 (define @t118 () (not @t80)) % 27.85/28.09 (define @t119 () (not @t82)) % 27.85/28.09 (define @t120 () (= tptp.sz00 @t11)) % 27.85/28.09 (define @t121 () (= tptp.sz00 @t4)) % 27.85/28.09 (define @t122 () (not @t13)) % 27.85/28.09 (define @t123 () (or @t100 @t99 @t122 @t29 @t121 @t120 @t119 @t118 @t117)) % 27.85/28.09 (define @t124 () (or @t119 @t118 @t117)) % 27.85/28.09 (define @t125 () (not @t116)) % 27.85/28.09 (define @t126 () (and @t125 @t114)) % 27.85/28.09 (define @t127 () (not (or @t126 @t56))) % 27.85/28.09 (define @t128 () (=> @t80 @t127)) % 27.85/28.09 (define @t129 () (not @t120)) % 27.85/28.09 (define @t130 () (not @t129)) % 27.85/28.09 (define @t131 () (not @t121)) % 27.85/28.09 (define @t132 () (not @t131)) % 27.85/28.09 (define @t133 () (not @t30)) % 27.85/28.09 (define @t134 () (or @t100 @t99 @t122 @t133 @t132 @t130)) % 27.85/28.09 (define @t135 () (=> @t82 @t128)) % 27.85/28.09 (define @t136 () (and @t2 @t6 @t13 @t30 @t131 @t129)) % 27.85/28.09 (define @t137 () (or @t107 @t106)) % 27.85/28.09 (define @t138 () (or @t111 @t137 @t110 @t109 @t108)) % 27.85/28.09 (define @t139 () (forall @t113 @t138)) % 27.85/28.09 (define @t140 () (@list @t104)) % 27.85/28.09 (define @t141 () (forall @t140 @t138)) % 27.85/28.09 (define @t142 () (forall @t140 @t137)) % 27.85/28.09 (define @t143 () (or @t111 @t142 @t110 @t109 @t108)) % 27.85/28.09 (define @t144 () (forall @t69 (or (not @t67) (not @t66)))) % 27.85/28.09 (define @t145 () (or @t111 @t144 @t110 @t109 @t108)) % 27.85/28.09 (define @t146 () (or @t109 @t108)) % 27.85/28.09 (define @t147 () (not @t144)) % 27.85/28.09 (define @t148 () (not @t147)) % 27.85/28.09 (define @t149 () (or @t111 @t148 @t110)) % 27.85/28.09 (define @t150 () (and @t71 @t147 @t64)) % 27.85/28.09 (define @t151 () (forall @t69 (not @t68))) % 27.85/28.09 (define @t152 () (not @t151)) % 27.85/28.09 (define @t153 () (not @t90)) % 27.85/28.09 (define @t154 () (and (or (= tptp.sz10 tptp.xp) (not (forall @t113 (or @t111 (not (tptp.doDivides0 @t62 tptp.xp)) @t109 (= tptp.xp @t62) @t107 (not (= tptp.xp @t105)))))) @t153)) % 27.85/28.09 (define @t155 () (tptp.iLess0 tptp.xm @t92)) % 27.85/28.09 (define @t156 () (not @t155)) % 27.85/28.09 (define @t157 () (not (= @t94 @t89))) % 27.85/28.09 (define @t158 () (= tptp.sz00 tptp.xp)) % 27.85/28.09 (define @t159 () (= tptp.sz00 tptp.xq)) % 27.85/28.09 (define @t160 () (not @t59)) % 27.85/28.09 (define @t161 () (not @t93)) % 27.85/28.09 (define @t162 () (not @t60)) % 27.85/28.09 (define @t163 () (or @t162 @t161 @t160 @t57 @t159 @t158 @t157 @t156 @t154)) % 27.85/28.09 (define @t164 () (forall @t15 (or @t100 @t99 @t122 @t29 @t121 @t120 @t119 (not (tptp.iLess0 @t1 @t92)) @t117))) % 27.85/28.09 (define @t165 () (not @t95)) % 27.85/28.09 (define @t166 () (= tptp.sz00 tptp.xm)) % 27.85/28.09 (define @t167 () (or @t162 @t161 @t160 @t166 @t159 @t158 @t165 @t156 @t154)) % 27.85/28.09 (define @t168 () (@list false)) % 27.85/28.09 (define @t169 () (not @t154)) % 27.85/28.09 (define @t170 () (= tptp.sz00 tptp.xn)) % 27.85/28.09 (define @t171 () (and (= tptp.sz00 @t18) @t17)) % 27.85/28.09 (define @t172 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 27.85/28.09 (define @t173 () (= tptp.sz00 @t172)) % 27.85/28.09 (define @t174 () (and @t173 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 27.85/28.09 (define @t175 () (or @t160 @t174)) % 27.85/28.09 (define @t176 () (= tptp.sz00 @t92)) % 27.85/28.09 (define @t177 () (and @t159 @t173)) % 27.85/28.09 (define @t178 () (not @t159)) % 27.85/28.09 (define @t179 () (= tptp.xn tptp.xm)) % 27.85/28.09 (define @t180 () (tptp.sdtlseqdt0 tptp.xm @t92)) % 27.85/28.09 (define @t181 () (not @t180)) % 27.85/28.09 (define @t182 () (= tptp.xm @t92)) % 27.85/28.09 (define @t183 () (tptp.aNaturalNumber0 @t92)) % 27.85/28.09 (define @t184 () (not @t183)) % 27.85/28.09 (define @t185 () (or @t162 @t184 @t182 @t181 @t155)) % 27.85/28.09 (define @t186 () (not @t185)) % 27.85/28.09 (define @t187 () (forall @t8 @t101)) % 27.85/28.09 (assume @p1 (forall @t3 (=> @t2 true))) % 27.85/28.09 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 27.85/28.09 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 27.85/28.09 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 27.85/28.09 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 27.85/28.09 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 27.85/28.09 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 27.85/28.09 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 27.85/28.09 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t16)))) % 27.85/28.09 (assume @p10 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 27.85/28.09 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 27.85/28.09 (assume @p12 @t21) % 27.85/28.09 (assume @p13 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t23)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t22)))))) % 27.85/28.09 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t26) (= @t10 @t25)) @t24)))) % 27.85/28.09 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t11) (=> (and @t6 @t13) (=> (or @t28 @t27) @t24))))))) % 27.85/28.09 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 27.85/28.09 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 27.85/28.09 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 27.85/28.09 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 27.85/28.09 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 27.85/28.09 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 27.85/28.09 (assume @p22 (forall @t15 (=> @t14 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t11))))) % 27.85/28.09 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not @t38) @t36))))) % 27.85/28.09 (assume @p24 (forall @t8 (=> @t7 (=> @t41 (forall @t33 (=> @t13 (and (not (= @t25 @t39)) (tptp.sdtlseqdt0 @t25 @t39) (not (= @t26 @t12)) (tptp.sdtlseqdt0 @t26 @t12)))))))) % 27.85/28.09 (assume @p25 (forall @t15 (=> @t14 (=> (and @t30 (not @t24) @t37) (and (not @t28) (tptp.sdtlseqdt0 @t9 @t23) (not @t27) (tptp.sdtlseqdt0 @t16 @t22)))))) % 27.85/28.09 (assume @p26 (forall @t3 (=> @t2 (or @t29 @t42 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 27.85/28.09 (assume @p27 (forall @t8 (=> @t7 (=> @t30 (tptp.sdtlseqdt0 @t4 @t16))))) % 27.85/28.09 (assume @p28 (forall @t8 (=> @t7 (=> @t43 true)))) % 27.85/28.09 (assume @p29 @t45) % 27.85/28.09 (assume @p30 (forall @t8 (=> @t7 (= @t47 (exists @t33 @t46))))) % 27.85/28.09 (assume @p31 (forall @t8 (=> @t7 (=> @t49 (forall @t33 (= (= @t11 @t48) @t46)))))) % 27.85/28.09 (assume @p32 (forall @t15 (=> @t14 (=> (and @t47 (tptp.doDivides0 @t4 @t11)) @t50)))) % 27.85/28.09 (assume @p33 (forall @t15 (=> @t14 (=> (and @t47 @t50) @t51)))) % 27.85/28.09 (assume @p34 (forall @t15 (=> @t14 (=> (and @t47 @t51) @t50)))) % 27.85/28.09 (assume @p35 (forall @t8 (=> @t7 (=> (and @t47 @t52) @t34)))) % 27.85/28.09 (assume @p36 (forall @t8 (=> @t7 (=> @t49 (forall @t33 (=> @t13 (= (tptp.sdtasdt0 @t11 @t48) (tptp.sdtsldt0 (tptp.sdtasdt0 @t11 @t4) @t1)))))))) % 27.85/28.09 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t30 @t55 (forall @t54 (=> (and @t6 @t53) (or (= @t4 tptp.sz10) @t38)))))))) % 27.85/28.09 (assume @p38 (forall @t3 (=> (and @t2 @t30 @t55) (exists @t54 (and @t6 @t53 (tptp.isPrime0 @t4)))))) % 27.85/28.09 (assume @p39 (forall @t15 (=> @t14 (=> (and @t56 (tptp.doDivides0 @t11 @t9)) (or (tptp.doDivides0 @t11 @t1) (tptp.doDivides0 @t11 @t4)))))) % 27.85/28.09 (assume @p40 (and @t61 @t60 @t59 @t58 (not @t57) (not (= tptp.xp tptp.sz00)))) % 27.85/28.09 (assume @p41 @t87) % 27.85/28.09 (assume @p42 (= (tptp.sdtasdt0 tptp.xp @t89) @t88)) % 27.85/28.09 (assume @p43 (and (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t54 (and @t6 (= tptp.xp @t9))) (tptp.doDivides0 @t1 tptp.xp))) (or @t42 (= @t1 tptp.xp)))) @t90)) % 27.85/28.09 (assume @p44 (and (exists @t3 (and @t2 (= @t88 @t91))) (tptp.doDivides0 tptp.xp @t88) (exists @t3 (and @t2 (= tptp.xn @t91))) (tptp.doDivides0 tptp.xp tptp.xn))) % 27.85/28.09 (assume @p45 (and @t93 (= tptp.xn @t92) (= tptp.xq (tptp.sdtsldt0 tptp.xn tptp.xp)))) % 27.85/28.09 (assume @p46 @t95) % 27.85/28.09 (assume @p47 (and @t97 (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xn))) @t96)) % 27.85/28.09 (assume @p48 (not false)) % 27.85/28.09 (assume @p49 true) % 27.85/28.09 (step @p50 :rule aci_norm :args ((= (or (or @t100 @t99) @t102) @t101))) % 27.85/28.09 (step @p51 :rule aci_norm :args ((= (or (or @t35 @t98) @t43) @t102))) % 27.85/28.09 (step @p52 :rule refl :args (@t43)) % 27.85/28.09 (step @p53 :rule refl :args (@t98)) % 27.85/28.09 (step @p54 :rule bool-double-not-elim :args (@t35)) % 27.85/28.09 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t40) @t98))) % 27.85/28.09 (step @p56 :rule bool-and-de-morgan :args (@t40 @t34 true)) % 27.85/28.09 (step @p57 :rule trans :premises (@p56 @p55)) % 27.85/28.09 (step @p58 :rule nary_cong :premises (@p57 @p52) :args ((or (not @t41) @t43))) % 27.85/28.09 (step @p59 :rule trans :premises (@p58 @p51)) % 27.85/28.09 (step @p60 :rule bool-impl-elim :args (@t41 @t43)) % 27.85/28.09 (step @p61 :rule trans :premises (@p60 @p59)) % 27.85/28.09 (step @p62 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 27.85/28.09 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t7) @t44))) % 27.85/28.09 (step @p64 :rule trans :premises (@p63 @p50)) % 27.85/28.09 (step @p65 :rule bool-impl-elim :args (@t7 @t44)) % 27.85/28.09 (step @p66 :rule trans :premises (@p65 @p64)) % 27.85/28.09 (step @p67 :rule cong :premises (@p66) :args (@t45)) % 27.85/28.09 (step @p68 :rule eq_resolve :premises (@p29 @p67)) % 27.85/28.09 (step @p69 :rule refl :args (@t117)) % 27.85/28.09 (step @p70 :rule and_elim :premises (@p45) :args (1)) % 27.85/28.09 (step @p71 :rule refl :args (@t1)) % 27.85/28.09 (step @p72 :rule cong :premises (@p71 @p70) :args (@t80)) % 27.85/28.09 (step @p73 :rule cong :premises (@p72) :args (@t118)) % 27.85/28.09 (step @p74 :rule refl :args (@t119)) % 27.85/28.09 (step @p75 :rule refl :args (@t120)) % 27.85/28.09 (step @p76 :rule refl :args (@t121)) % 27.85/28.09 (step @p77 :rule refl :args (@t29)) % 27.85/28.09 (step @p78 :rule refl :args (@t122)) % 27.85/28.09 (step @p79 :rule refl :args (@t99)) % 27.85/28.09 (step @p80 :rule refl :args (@t100)) % 27.85/28.09 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p69) :args (@t123)) % 27.85/28.09 (step @p82 :rule cong :premises (@p81) :args ((forall @t15 @t123))) % 27.85/28.09 (step @p83 :rule aci_norm :args ((= (or (or @t100 @t99 @t122 @t29 @t121 @t120) @t124) @t123))) % 27.85/28.09 (step @p84 :rule aci_norm :args ((= (or @t119 (or @t118 @t117)) @t124))) % 27.85/28.09 (step @p85 :rule refl :args (@t103)) % 27.85/28.09 (step @p86 :rule refl :args (@t115)) % 27.85/28.09 (step @p87 :rule bool-double-not-elim :args (@t116)) % 27.85/28.09 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t125) @t115))) % 27.85/28.09 (step @p89 :rule bool-and-de-morgan :args (@t125 @t114 true)) % 27.85/28.09 (step @p90 :rule trans :premises (@p89 @p88)) % 27.85/28.09 (step @p91 :rule nary_cong :premises (@p90 @p85) :args ((and (not @t126) @t103))) % 27.85/28.09 (step @p92 :rule bool-or-de-morgan :args (@t126 @t56 false)) % 27.85/28.09 (step @p93 :rule trans :premises (@p92 @p91)) % 27.85/28.09 (step @p94 :rule refl :args (@t118)) % 27.85/28.09 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t118 @t127))) % 27.85/28.09 (step @p96 :rule bool-impl-elim :args (@t80 @t127)) % 27.85/28.09 (step @p97 :rule trans :premises (@p96 @p95)) % 27.85/28.09 (step @p98 :rule refl :args (@t119)) % 27.85/28.09 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t119 @t128))) % 27.85/28.09 (step @p100 :rule trans :premises (@p99 @p84)) % 27.85/28.09 (step @p101 :rule bool-impl-elim :args (@t82 @t128)) % 27.85/28.09 (step @p102 :rule trans :premises (@p101 @p100)) % 27.85/28.09 (step @p103 :rule bool-double-not-elim :args (@t120)) % 27.85/28.09 (step @p104 :rule bool-double-not-elim :args (@t121)) % 27.85/28.09 (step @p105 :rule bool-double-not-elim :args (@t29)) % 27.85/28.09 (step @p106 :rule refl :args (@t122)) % 27.85/28.09 (step @p107 :rule refl :args (@t99)) % 27.85/28.09 (step @p108 :rule refl :args (@t100)) % 27.85/28.09 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104 @p103) :args (@t134)) % 27.85/28.09 (step @p110 :rule aci_norm :args ((= (or @t100 (or @t99 (or @t122 (or @t133 (or @t132 @t130))))) @t134))) % 27.85/28.09 (step @p111 :rule trans :premises (@p110 @p109)) % 27.85/28.09 (step @p112 :rule bool-and-de-morgan :args (@t131 @t129 true)) % 27.85/28.09 (step @p113 :rule refl :args (@t133)) % 27.85/28.09 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t133 (not (and @t131 @t129))))) % 27.85/28.09 (step @p115 :rule bool-and-de-morgan :args (@t30 @t131 (and @t129))) % 27.85/28.09 (step @p116 :rule trans :premises (@p115 @p114)) % 27.85/28.09 (step @p117 :rule nary_cong :premises (@p106 @p116) :args ((or @t122 (not (and @t30 @t131 @t129))))) % 27.85/28.09 (step @p118 :rule bool-and-de-morgan :args (@t13 @t30 (and @t131 @t129))) % 27.85/28.09 (step @p119 :rule trans :premises (@p118 @p117)) % 27.85/28.09 (step @p120 :rule nary_cong :premises (@p107 @p119) :args ((or @t99 (not (and @t13 @t30 @t131 @t129))))) % 27.85/28.09 (step @p121 :rule bool-and-de-morgan :args (@t6 @t13 (and @t30 @t131 @t129))) % 27.85/28.09 (step @p122 :rule trans :premises (@p121 @p120)) % 27.85/28.09 (step @p123 :rule nary_cong :premises (@p108 @p122) :args ((or @t100 (not (and @t6 @t13 @t30 @t131 @t129))))) % 27.85/28.09 (step @p124 :rule bool-and-de-morgan :args (@t2 @t6 (and @t13 @t30 @t131 @t129))) % 27.85/28.09 (step @p125 :rule trans :premises (@p124 @p123)) % 27.85/28.09 (step @p126 :rule trans :premises (@p125 @p111)) % 27.85/28.09 (step @p127 :rule nary_cong :premises (@p126 @p102) :args ((or (not @t136) @t135))) % 27.85/28.09 (step @p128 :rule trans :premises (@p127 @p83)) % 27.85/28.09 (step @p129 :rule bool-impl-elim :args (@t136 @t135)) % 27.85/28.09 (step @p130 :rule trans :premises (@p129 @p128)) % 27.85/28.09 (step @p131 :rule cong :premises (@p130) :args ((forall @t15 (=> @t136 @t135)))) % 27.85/28.09 (step @p132 :rule refl :args (@t56)) % 27.85/28.09 (step @p133 :rule aci_norm :args ((= @t138 @t112))) % 27.85/28.09 (step @p134 :rule cong :premises (@p133) :args (@t139)) % 27.85/28.09 (step @p135 :rule quant-merge-prenex :args ((= (forall @t74 @t141) @t139))) % 27.85/28.09 (step @p136 :rule refl :args (@t108)) % 27.85/28.09 (step @p137 :rule refl :args (@t109)) % 27.85/28.09 (step @p138 :rule refl :args (@t110)) % 27.85/28.09 (step @p139 :rule alpha_equiv :args (@t142 (@list @t104) (@list @t65))) % 27.85/28.09 (step @p140 :rule refl :args (@t111)) % 27.85/28.09 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137 @p136) :args (@t143)) % 27.85/28.09 (step @p142 :rule quant-miniscope-or :args ((= @t141 @t143))) % 27.85/28.09 (step @p143 :rule trans :premises (@p142 @p141)) % 27.85/28.09 (step @p144 :rule symm :premises (@p143)) % 27.85/28.09 (step @p145 :rule cong :premises (@p144) :args ((forall @t74 @t145))) % 27.85/28.09 (step @p146 :rule trans :premises (@p145 @p135)) % 27.85/28.09 (step @p147 :rule trans :premises (@p146 @p134)) % 27.85/28.09 (step @p148 :rule aci_norm :args ((= (or (or @t111 @t144 @t110) @t146) @t145))) % 27.85/28.09 (step @p149 :rule refl :args (@t146)) % 27.85/28.09 (step @p150 :rule bool-double-not-elim :args (@t144)) % 27.85/28.09 (step @p151 :rule nary_cong :premises (@p140 @p150 @p138) :args (@t149)) % 27.85/28.09 (step @p152 :rule aci_norm :args ((= (or @t111 (or @t148 @t110)) @t149))) % 27.85/28.09 (step @p153 :rule trans :premises (@p152 @p151)) % 27.85/28.09 (step @p154 :rule bool-and-de-morgan :args (@t147 @t64 true)) % 27.85/28.09 (step @p155 :rule nary_cong :premises (@p140 @p154) :args ((or @t111 (not (and @t147 @t64))))) % 27.85/28.09 (step @p156 :rule bool-and-de-morgan :args (@t71 @t147 (and @t64))) % 27.85/28.09 (step @p157 :rule trans :premises (@p156 @p155)) % 27.85/28.09 (step @p158 :rule trans :premises (@p157 @p153)) % 27.85/28.09 (step @p159 :rule nary_cong :premises (@p158 @p149) :args ((or (not @t150) @t146))) % 27.85/28.09 (step @p160 :rule trans :premises (@p159 @p148)) % 27.85/28.09 (step @p161 :rule bool-impl-elim :args (@t150 @t146)) % 27.85/28.09 (step @p162 :rule trans :premises (@p161 @p160)) % 27.85/28.09 (step @p163 :rule cong :premises (@p162) :args ((forall @t74 (=> @t150 @t146)))) % 27.85/28.09 (step @p164 :rule trans :premises (@p163 @p147)) % 27.85/28.09 (step @p165 :rule eq-symm :args (@t62 @t11)) % 27.85/28.09 (step @p166 :rule eq-symm :args (@t62 tptp.sz10)) % 27.85/28.09 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t63)) % 27.85/28.09 (step @p168 :rule refl :args (@t64)) % 27.85/28.09 (step @p169 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 27.85/28.09 (step @p170 :rule cong :premises (@p169) :args (@t151)) % 27.85/28.09 (step @p171 :rule cong :premises (@p170) :args (@t152)) % 27.85/28.09 (step @p172 :rule exists-elim :args ((= @t70 @t152))) % 27.85/28.09 (step @p173 :rule trans :premises (@p172 @p171)) % 27.85/28.09 (step @p174 :rule refl :args (@t71)) % 27.85/28.09 (step @p175 :rule nary_cong :premises (@p174 @p173 @p168) :args (@t72)) % 27.85/28.09 (step @p176 :rule cong :premises (@p175 @p167) :args (@t73)) % 27.85/28.09 (step @p177 :rule cong :premises (@p176) :args (@t75)) % 27.85/28.09 (step @p178 :rule trans :premises (@p177 @p164)) % 27.85/28.09 (step @p179 :rule eq-symm :args (@t11 tptp.sz10)) % 27.85/28.09 (step @p180 :rule cong :premises (@p179) :args (@t76)) % 27.85/28.09 (step @p181 :rule nary_cong :premises (@p180 @p178) :args (@t77)) % 27.85/28.09 (step @p182 :rule nary_cong :premises (@p181 @p132) :args (@t78)) % 27.85/28.09 (step @p183 :rule cong :premises (@p182) :args (@t79)) % 27.85/28.09 (step @p184 :rule refl :args (@t80)) % 27.85/28.09 (step @p185 :rule cong :premises (@p184 @p183) :args (@t81)) % 27.85/28.09 (step @p186 :rule refl :args (@t82)) % 27.85/28.09 (step @p187 :rule cong :premises (@p186 @p185) :args (@t83)) % 27.85/28.09 (step @p188 :rule eq-symm :args (@t11 tptp.sz00)) % 27.85/28.09 (step @p189 :rule cong :premises (@p188) :args (@t84)) % 27.85/28.09 (step @p190 :rule eq-symm :args (@t4 tptp.sz00)) % 27.85/28.09 (step @p191 :rule cong :premises (@p190) :args (@t52)) % 27.85/28.09 (step @p192 :rule refl :args (@t30)) % 27.85/28.09 (step @p193 :rule refl :args (@t13)) % 27.85/28.09 (step @p194 :rule refl :args (@t6)) % 27.85/28.09 (step @p195 :rule refl :args (@t2)) % 27.85/28.09 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193 @p192 @p191 @p189) :args (@t85)) % 27.85/28.09 (step @p197 :rule cong :premises (@p196 @p187) :args (@t86)) % 27.85/28.09 (step @p198 :rule cong :premises (@p197) :args (@t87)) % 27.85/28.09 (step @p199 :rule trans :premises (@p198 @p131)) % 27.85/28.09 (step @p200 :rule trans :premises (@p199 @p82)) % 27.85/28.09 (step @p201 :rule eq_resolve :premises (@p41 @p200)) % 27.85/28.09 (step @p202 :rule refl :args (@t154)) % 27.85/28.09 (step @p203 :rule refl :args (@t156)) % 27.85/28.09 (step @p204 :rule eq-symm :args (@t94 @t89)) % 27.85/28.09 (step @p205 :rule cong :premises (@p204) :args (@t157)) % 27.85/28.09 (step @p206 :rule refl :args (@t158)) % 27.85/28.09 (step @p207 :rule refl :args (@t159)) % 27.85/28.09 (step @p208 :rule eq-symm :args (tptp.xm tptp.sz00)) % 27.85/28.09 (step @p209 :rule refl :args (@t160)) % 27.85/28.09 (step @p210 :rule refl :args (@t161)) % 27.85/28.09 (step @p211 :rule refl :args (@t162)) % 27.85/28.09 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p208 @p207 @p206 @p205 @p203 @p202) :args (@t163)) % 27.85/28.09 (step @p213 :rule refl :args (@t164)) % 27.85/28.09 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t164 @t163))) % 27.85/28.09 (assume-push @p306 @t164) % 27.85/28.09 (step @p216 :rule instantiate :premises (@p201) :args ((@list tptp.xm tptp.xq tptp.xp))) % 27.85/28.09 (step-pop @p307 :rule scope :premises (@p216)) % 27.85/28.09 (step @p217 :rule process_scope :premises (@p307) :args (@t163)) % 27.85/28.09 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 27.85/28.09 (step @p220 :rule implies_elim :premises (@p219)) % 27.85/28.09 (step @p221 :rule chain_m_resolution :premises (@p220 @p201) :args (@t167 @t168 (@list @t164))) % 27.85/28.09 (step @p222 :rule and_elim :premises (@p43) :args (2)) % 27.85/28.09 (step @p223 :rule cnf_and_pos :args (@t154 1)) % 27.85/28.09 (step @p224 :rule reordering :premises (@p223) :args ((or @t153 @t169))) % 27.85/28.09 (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t169 @t168 (@list @t90))) % 27.85/28.09 (step @p226 :rule refl :args (tptp.sz00)) % 27.85/28.09 (step @p227 :rule cong :premises (@p226 @p70) :args (@t170)) % 27.85/28.09 (step @p228 :rule cong :premises (@p227) :args ((not @t170))) % 27.85/28.09 (step @p229 :rule eq-symm :args (tptp.xn tptp.sz00)) % 27.85/28.09 (step @p230 :rule cong :premises (@p229) :args (@t58)) % 27.85/28.09 (step @p231 :rule trans :premises (@p230 @p228)) % 27.85/28.09 (step @p232 :rule and_elim :premises (@p40) :args (3)) % 27.85/28.09 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 27.85/28.09 (step @p234 :rule bool-impl-elim :args (@t2 @t171)) % 27.85/28.09 (step @p235 :rule cong :premises (@p234) :args ((forall @t3 (=> @t2 @t171)))) % 27.85/28.09 (step @p236 :rule refl :args (@t17)) % 27.85/28.09 (step @p237 :rule eq-symm :args (@t18 tptp.sz00)) % 27.85/28.09 (step @p238 :rule nary_cong :premises (@p237 @p236) :args (@t19)) % 27.85/28.09 (step @p239 :rule cong :premises (@p195 @p238) :args (@t20)) % 27.85/28.09 (step @p240 :rule cong :premises (@p239) :args (@t21)) % 27.85/28.09 (step @p241 :rule trans :premises (@p240 @p235)) % 27.85/28.09 (step @p242 :rule eq_resolve :premises (@p12 @p241)) % 27.85/28.09 (step @p243 :rule instantiate :premises (@p242) :args ((@list tptp.xp))) % 27.85/28.09 (step @p244 :rule and_elim :premises (@p40) :args (2)) % 27.85/28.09 (step @p245 :rule cnf_or_pos :args (@t175)) % 27.85/28.09 (step @p246 :rule reordering :premises (@p245) :args ((or @t160 @t174 (not @t175)))) % 27.85/28.09 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p243) :args (@t174 (@list false false) (@list @t59 @t175))) % 27.85/28.09 (step @p248 :rule cnf_and_pos :args (@t174 0)) % 27.85/28.09 (step @p249 :rule reordering :premises (@p248) :args ((or @t173 (not @t174)))) % 27.85/28.09 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t173 @t168 (@list @t174))) % 27.85/28.09 (assume-push @p308 @t159) % 27.85/28.09 (assume-push @p309 @t173) % 27.85/28.09 (assume-push @p310 @t159) % 27.85/28.09 (assume-push @p311 @t173) % 27.85/28.09 (step @p255 :rule refl :args (tptp.xp)) % 27.85/28.09 (step @p256 :rule cong :premises (@p255 @p308) :args (@t172)) % 27.85/28.09 (step @p257 :rule trans :premises (@p250 @p256)) % 27.85/28.09 (step-pop @p312 :rule scope :premises (@p257)) % 27.85/28.09 (step-pop @p313 :rule scope :premises (@p312)) % 27.85/28.09 (step @p258 :rule process_scope :premises (@p313) :args (@t176)) % 27.85/28.09 (step @p261 :rule and_intro :premises (@p308 @p250)) % 27.85/28.09 (step @p262 :rule modus_ponens :premises (@p261 @p258)) % 27.85/28.09 (step-pop @p314 :rule scope :premises (@p262)) % 27.85/28.09 (step-pop @p315 :rule scope :premises (@p314)) % 27.85/28.09 (step @p263 :rule process_scope :premises (@p315) :args (@t176)) % 27.85/28.09 (step @p266 :rule implies_elim :premises (@p263)) % 27.85/28.09 (step @p267 :rule cnf_and_neg :args (@t177)) % 27.85/28.09 (step @p268 :rule resolution :premises (@p267 @p266) :args (true @t177)) % 27.85/28.09 (step @p269 :rule reordering :premises (@p268) :args ((or @t176 @t178 (not @t173)))) % 27.85/28.09 (step @p270 :rule chain_m_resolution :premises (@p269 @p250 @p233) :args (@t178 (@list false true) (@list @t173 @t176))) % 27.85/28.09 (step @p271 :rule and_elim :premises (@p45) :args (0)) % 27.85/28.09 (step @p272 :rule and_elim :premises (@p40) :args (1)) % 27.85/28.09 (step @p273 :rule and_elim :premises (@p40) :args (4)) % 27.85/28.09 (step @p274 :rule symm :premises (@p273)) % 27.85/28.09 (step @p275 :rule and_elim :premises (@p40) :args (5)) % 27.85/28.09 (step @p276 :rule symm :premises (@p275)) % 27.85/28.09 (step @p277 :rule cnf_or_pos :args (@t167)) % 27.85/28.09 (step @p278 :rule reordering :premises (@p277) :args ((or @t158 @t166 @t162 @t160 @t161 @t165 @t159 @t156 @t154 (not @t167)))) % 27.85/28.09 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p274 @p272 @p244 @p271 @p46 @p270 @p225 @p221) :args (@t156 (@list true true false false false false true true false) (@list @t158 @t166 @t60 @t59 @t93 @t95 @t159 @t154 @t167))) % 27.85/28.09 (step @p280 :rule refl :args (tptp.xm)) % 27.85/28.09 (step @p281 :rule cong :premises (@p280 @p70) :args (@t96)) % 27.85/28.09 (step @p282 :rule and_elim :premises (@p47) :args (2)) % 27.85/28.09 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 27.85/28.09 (step @p284 :rule cong :premises (@p70) :args (@t61)) % 27.85/28.09 (step @p285 :rule and_elim :premises (@p40) :args (0)) % 27.85/28.09 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 27.85/28.09 (step @p287 :rule eq-symm :args (@t92 tptp.xm)) % 27.85/28.09 (step @p288 :rule cong :premises (@p287) :args ((not (= @t92 tptp.xm)))) % 27.85/28.09 (step @p289 :rule cong :premises (@p70 @p280) :args (@t179)) % 27.85/28.09 (step @p290 :rule cong :premises (@p289) :args ((not @t179))) % 27.85/28.09 (step @p291 :rule trans :premises (@p290 @p288)) % 27.85/28.09 (step @p292 :rule eq-symm :args (tptp.xm tptp.xn)) % 27.85/28.09 (step @p293 :rule cong :premises (@p292) :args (@t97)) % 27.85/28.09 (step @p294 :rule trans :premises (@p293 @p291)) % 27.85/28.09 (step @p295 :rule and_elim :premises (@p47) :args (0)) % 27.85/28.09 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 27.85/28.09 (step @p297 :rule cnf_or_pos :args (@t185)) % 27.85/28.09 (step @p298 :rule reordering :premises (@p297) :args ((or @t182 @t184 @t162 @t181 @t155 @t186))) % 27.85/28.09 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p286 @p272 @p283 @p279) :args (@t186 (@list true false false false true) (@list @t182 @t183 @t60 @t180 @t155))) % 27.85/28.09 (assume-push @p316 @t187) % 27.85/28.09 (step @p301 :rule instantiate :premises (@p68) :args ((@list tptp.xm @t92))) % 27.85/28.09 (step-pop @p317 :rule scope :premises (@p301)) % 27.85/28.09 (step @p302 :rule process_scope :premises (@p317) :args (@t185)) % 27.85/28.09 (step @p304 :rule implies_elim :premises (@p302)) % 27.85/28.09 (step @p305 false :rule chain_m_resolution :premises (@p304 @p299 @p68) :args (false (@list true false) (@list @t185 @t187))) % 27.85/28.09 ) % 27.85/28.09 % SZS output end Proof % 27.85/28.09 % cvc5 exiting %------------------------------------------------------------------------------