%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM514+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 : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:40 AM UTC 2026 % Result : Theorem 34.02s 34.27s % Output : Proof 34.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM514+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:26:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.02/34.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.02/34.27 --- Run --no-e-matching --full-saturate-quant at 6... % 34.02/34.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.02/34.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.02/34.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/34.27 % SZS status Theorem % 34.02/34.27 % SZS output start Proof % 34.02/34.27 ( % 34.02/34.27 (declare-sort $$unsorted 0) % 34.02/34.27 (declare-const tptp.xr $$unsorted) % 34.02/34.27 (declare-const tptp.xk $$unsorted) % 34.02/34.27 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.02/34.27 (declare-const tptp.xm $$unsorted) % 34.02/34.27 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.27 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.02/34.27 (declare-const tptp.xn $$unsorted) % 34.02/34.27 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.02/34.27 (declare-const tptp.sz00 $$unsorted) % 34.02/34.27 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.27 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.27 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.27 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.02/34.27 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 34.02/34.27 (declare-const tptp.sz10 $$unsorted) % 34.02/34.27 (declare-const tptp.xp $$unsorted) % 34.02/34.27 (define @t1 () (@var "W0" $$unsorted)) % 34.02/34.27 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 34.02/34.27 (define @t3 () (@list @t1)) % 34.02/34.27 (define @t4 () (@var "W1" $$unsorted)) % 34.02/34.27 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 34.02/34.27 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 34.02/34.27 (define @t7 () (and @t2 @t6)) % 34.02/34.27 (define @t8 () (@list @t1 @t4)) % 34.02/34.27 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 34.02/34.27 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 34.02/34.27 (define @t11 () (forall @t8 (=> @t7 @t10))) % 34.02/34.27 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 34.02/34.27 (define @t13 () (@var "W2" $$unsorted)) % 34.02/34.27 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 34.02/34.27 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 34.02/34.27 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 34.02/34.27 (define @t17 () (and @t2 @t6 @t16)) % 34.02/34.27 (define @t18 () (@list @t1 @t4 @t13)) % 34.02/34.27 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 34.02/34.27 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 34.02/34.27 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 34.02/34.27 (define @t22 () (= @t4 @t13)) % 34.02/34.27 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 34.02/34.27 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 34.02/34.27 (define @t25 () (= @t19 @t20)) % 34.02/34.27 (define @t26 () (= @t9 @t21)) % 34.02/34.27 (define @t27 () (= @t1 tptp.sz00)) % 34.02/34.27 (define @t28 () (not @t27)) % 34.02/34.27 (define @t29 () (= @t4 tptp.sz00)) % 34.02/34.27 (define @t30 () (and @t16 (= @t24 @t4))) % 34.02/34.27 (define @t31 () (@list @t13)) % 34.02/34.27 (define @t32 () (tptp.sdtlseqdt0 @t1 @t4)) % 34.02/34.27 (define @t33 () (= @t1 @t4)) % 34.02/34.27 (define @t34 () (tptp.sdtlseqdt0 @t4 @t1)) % 34.02/34.27 (define @t35 () (tptp.sdtlseqdt0 @t4 @t13)) % 34.02/34.27 (define @t36 () (= @t4 @t1)) % 34.02/34.27 (define @t37 () (tptp.sdtpldt0 @t13 @t4)) % 34.02/34.27 (define @t38 () (and (not @t33) @t32)) % 34.02/34.27 (define @t39 () (= @t1 tptp.sz10)) % 34.02/34.27 (define @t40 () (tptp.iLess0 @t1 @t4)) % 34.02/34.27 (define @t41 () (= @t4 @t21)) % 34.02/34.27 (define @t42 () (and @t16 @t41)) % 34.02/34.27 (define @t43 () (exists @t31 @t42)) % 34.02/34.27 (define @t44 () (tptp.doDivides0 @t1 @t4)) % 34.02/34.27 (define @t45 () (= @t44 @t43)) % 34.02/34.27 (define @t46 () (=> @t7 @t45)) % 34.02/34.27 (define @t47 () (forall @t8 @t46)) % 34.02/34.27 (define @t48 () (tptp.sdtsldt0 @t4 @t1)) % 34.02/34.27 (define @t49 () (= @t13 @t48)) % 34.02/34.27 (define @t50 () (forall @t31 (= @t49 @t42))) % 34.02/34.27 (define @t51 () (and @t28 @t44)) % 34.02/34.27 (define @t52 () (=> @t51 @t50)) % 34.02/34.27 (define @t53 () (=> @t7 @t52)) % 34.02/34.27 (define @t54 () (forall @t8 @t53)) % 34.02/34.27 (define @t55 () (tptp.doDivides0 @t1 @t13)) % 34.02/34.27 (define @t56 () (tptp.doDivides0 @t1 @t14)) % 34.02/34.27 (define @t57 () (or (= @t4 tptp.sz10) @t36)) % 34.02/34.27 (define @t58 () (tptp.doDivides0 @t4 @t1)) % 34.02/34.27 (define @t59 () (and @t6 @t58)) % 34.02/34.27 (define @t60 () (=> @t59 @t57)) % 34.02/34.27 (define @t61 () (@list @t4)) % 34.02/34.27 (define @t62 () (forall @t61 @t60)) % 34.02/34.27 (define @t63 () (not @t39)) % 34.02/34.27 (define @t64 () (and @t28 @t63 @t62)) % 34.02/34.27 (define @t65 () (tptp.isPrime0 @t1)) % 34.02/34.27 (define @t66 () (= @t65 @t64)) % 34.02/34.27 (define @t67 () (=> @t2 @t66)) % 34.02/34.27 (define @t68 () (forall @t3 @t67)) % 34.02/34.27 (define @t69 () (tptp.aNaturalNumber0 tptp.xp)) % 34.02/34.27 (define @t70 () (tptp.aNaturalNumber0 tptp.xm)) % 34.02/34.27 (define @t71 () (tptp.aNaturalNumber0 tptp.xn)) % 34.02/34.27 (define @t72 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 34.02/34.27 (define @t73 () (tptp.isPrime0 tptp.xp)) % 34.02/34.27 (define @t74 () (tptp.sdtsldt0 @t72 tptp.xp)) % 34.02/34.27 (define @t75 () (= tptp.xk tptp.sz10)) % 34.02/34.27 (define @t76 () (= tptp.xk tptp.sz00)) % 34.02/34.27 (define @t77 () (tptp.isPrime0 tptp.xr)) % 34.02/34.27 (define @t78 () (tptp.doDivides0 tptp.xr tptp.xk)) % 34.02/34.27 (define @t79 () (tptp.aNaturalNumber0 tptp.xr)) % 34.02/34.27 (define @t80 () (tptp.doDivides0 tptp.xr tptp.xn)) % 34.02/34.27 (define @t81 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 34.02/34.27 (define @t82 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 34.02/34.27 (define @t83 () (tptp.sdtsldt0 @t82 tptp.xr)) % 34.02/34.27 (define @t84 () (tptp.sdtasdt0 @t83 tptp.xr)) % 34.02/34.27 (define @t85 () (= @t72 @t84)) % 34.02/34.27 (define @t86 () (tptp.sdtasdt0 @t81 tptp.xm)) % 34.02/34.27 (define @t87 () (tptp.sdtsldt0 tptp.xk tptp.xr)) % 34.02/34.27 (define @t88 () (tptp.sdtasdt0 tptp.xp @t87)) % 34.02/34.27 (define @t89 () (tptp.doDivides0 tptp.xp @t86)) % 34.02/34.27 (define @t90 () (not @t16)) % 34.02/34.27 (define @t91 () (= @t44 (not (forall @t31 (or @t90 (not @t41)))))) % 34.02/34.27 (define @t92 () (not @t6)) % 34.02/34.27 (define @t93 () (not @t2)) % 34.02/34.27 (define @t94 () (or @t93 @t92)) % 34.02/34.27 (define @t95 () (not @t7)) % 34.02/34.27 (define @t96 () (forall @t31 (not @t42))) % 34.02/34.27 (define @t97 () (not @t96)) % 34.02/34.27 (define @t98 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 34.02/34.27 (define @t99 () (and (tptp.aNaturalNumber0 @t98) (= @t4 (tptp.sdtasdt0 @t1 @t98)))) % 34.02/34.27 (define @t100 () (= @t99 (= @t98 @t48))) % 34.02/34.27 (define @t101 () (not @t44)) % 34.02/34.27 (define @t102 () (or @t93 @t92 @t27 @t101 @t100)) % 34.02/34.27 (define @t103 () (@list @t1 @t4 @t98)) % 34.02/34.27 (define @t104 () (forall @t103 @t102)) % 34.02/34.27 (define @t105 () (@list @t98)) % 34.02/34.27 (define @t106 () (forall @t105 @t102)) % 34.02/34.27 (define @t107 () (forall @t105 @t100)) % 34.02/34.27 (define @t108 () (or @t93 @t92 @t27 @t101 @t107)) % 34.02/34.27 (define @t109 () (forall @t31 (= @t42 @t49))) % 34.02/34.27 (define @t110 () (or @t93 @t92 @t27 @t101 @t109)) % 34.02/34.27 (define @t111 () (or @t27 @t101 @t109)) % 34.02/34.27 (define @t112 () (=> @t51 @t109)) % 34.02/34.27 (define @t113 () (tptp.aNaturalNumber0 @t81)) % 34.02/34.27 (define @t114 () (and @t113 (= tptp.xn (tptp.sdtasdt0 tptp.xr @t81)))) % 34.02/34.27 (define @t115 () (= @t114 (= @t81 @t81))) % 34.02/34.27 (define @t116 () (not @t80)) % 34.02/34.27 (define @t117 () (not @t71)) % 34.02/34.27 (define @t118 () (not @t79)) % 34.02/34.27 (define @t119 () (= tptp.xr tptp.sz00)) % 34.02/34.27 (define @t120 () (or @t118 @t117 @t119 @t116 @t115)) % 34.02/34.27 (define @t121 () (forall @t103 (or @t93 @t92 @t27 @t101 (= @t99 (= @t48 @t98))))) % 34.02/34.27 (define @t122 () (= tptp.sz00 tptp.xr)) % 34.02/34.27 (define @t123 () (or @t118 @t117 @t122 @t116 @t114)) % 34.02/34.27 (define @t124 () (@list false)) % 34.02/34.27 (define @t125 () (@list @t121)) % 34.02/34.27 (define @t126 () (= tptp.sz10 @t4)) % 34.02/34.27 (define @t127 () (not @t58)) % 34.02/34.27 (define @t128 () (or @t92 @t127 @t126 @t33)) % 34.02/34.27 (define @t129 () (= @t65 (and @t28 @t63 (forall @t61 @t128)))) % 34.02/34.27 (define @t130 () (or @t126 @t33)) % 34.02/34.27 (define @t131 () (not (tptp.doDivides0 @t4 tptp.xr))) % 34.02/34.27 (define @t132 () (or @t92 @t131 @t126 (= tptp.xr @t4))) % 34.02/34.27 (define @t133 () (forall @t61 @t132)) % 34.02/34.27 (define @t134 () (not (= tptp.xr tptp.sz10))) % 34.02/34.27 (define @t135 () (not @t119)) % 34.02/34.27 (define @t136 () (and @t135 @t134 @t133)) % 34.02/34.27 (define @t137 () (= @t77 @t136)) % 34.02/34.27 (define @t138 () (or @t118 @t137)) % 34.02/34.27 (define @t139 () (forall @t3 (or @t93 @t129))) % 34.02/34.27 (define @t140 () (not @t122)) % 34.02/34.27 (define @t141 () (and @t140 (not (= tptp.sz10 tptp.xr)) (forall @t61 (or @t92 @t131 @t126 (= @t4 tptp.xr))))) % 34.02/34.27 (define @t142 () (= @t77 @t141)) % 34.02/34.27 (define @t143 () (or @t118 @t142)) % 34.02/34.27 (define @t144 () (@list @t139)) % 34.02/34.27 (define @t145 () (@list false false)) % 34.02/34.27 (define @t146 () (tptp.aNaturalNumber0 @t86)) % 34.02/34.27 (define @t147 () (not @t70)) % 34.02/34.27 (define @t148 () (not @t113)) % 34.02/34.27 (define @t149 () (or @t148 @t147 @t146)) % 34.02/34.27 (define @t150 () (@list false false false)) % 34.02/34.27 (define @t151 () (forall @t31 (or @t90 (not (= @t86 (tptp.sdtasdt0 tptp.xp @t13)))))) % 34.02/34.27 (define @t152 () (not @t151)) % 34.02/34.27 (define @t153 () (= @t89 @t152)) % 34.02/34.27 (define @t154 () (not @t146)) % 34.02/34.27 (define @t155 () (not @t69)) % 34.02/34.27 (define @t156 () (or @t155 @t154 @t153)) % 34.02/34.27 (define @t157 () (not @t153)) % 34.02/34.27 (define @t158 () (@list true false)) % 34.02/34.27 (define @t159 () (tptp.sdtsldt0 @t74 tptp.xr)) % 34.02/34.27 (define @t160 () (tptp.aNaturalNumber0 @t159)) % 34.02/34.27 (define @t161 () (and @t160 (= @t74 (tptp.sdtasdt0 tptp.xr @t159)))) % 34.02/34.27 (define @t162 () (= @t161 (= @t159 @t159))) % 34.02/34.27 (define @t163 () (tptp.doDivides0 tptp.xr @t74)) % 34.02/34.27 (define @t164 () (not @t163)) % 34.02/34.27 (define @t165 () (tptp.aNaturalNumber0 @t74)) % 34.02/34.27 (define @t166 () (not @t165)) % 34.02/34.27 (define @t167 () (or @t118 @t166 @t119 @t164 @t162)) % 34.02/34.27 (define @t168 () (or @t118 @t166 @t122 @t164 @t161)) % 34.02/34.27 (define @t169 () (tptp.sdtasdt0 tptp.xp @t74)) % 34.02/34.27 (define @t170 () (tptp.sdtasdt0 (tptp.sdtsldt0 @t169 tptp.xr) tptp.xr)) % 34.02/34.27 (define @t171 () (tptp.sdtsldt0 @t170 tptp.xp)) % 34.02/34.27 (define @t172 () (and @t165 (= @t170 @t169))) % 34.02/34.27 (define @t173 () (= @t172 (= @t171 @t74))) % 34.02/34.27 (define @t174 () (tptp.doDivides0 tptp.xp @t170)) % 34.02/34.27 (define @t175 () (not @t174)) % 34.02/34.27 (define @t176 () (tptp.aNaturalNumber0 @t170)) % 34.02/34.27 (define @t177 () (not @t176)) % 34.02/34.27 (define @t178 () (= tptp.xp tptp.sz00)) % 34.02/34.27 (define @t179 () (or @t155 @t177 @t178 @t175 @t173)) % 34.02/34.27 (define @t180 () (= @t74 @t171)) % 34.02/34.27 (define @t181 () (and @t165 (= @t169 @t170))) % 34.02/34.27 (define @t182 () (= @t181 @t180)) % 34.02/34.27 (define @t183 () (= tptp.sz00 tptp.xp)) % 34.02/34.27 (define @t184 () (or @t155 @t177 @t183 @t175 @t182)) % 34.02/34.27 (define @t185 () (tptp.aNaturalNumber0 @t72)) % 34.02/34.27 (define @t186 () (or @t117 @t147 @t185)) % 34.02/34.27 (define @t187 () (not (tptp.doDivides0 @t4 tptp.xp))) % 34.02/34.27 (define @t188 () (or @t92 @t187 @t126 (= tptp.xp @t4))) % 34.02/34.27 (define @t189 () (forall @t61 @t188)) % 34.02/34.27 (define @t190 () (not (= tptp.xp tptp.sz10))) % 34.02/34.27 (define @t191 () (not @t178)) % 34.02/34.27 (define @t192 () (and @t191 @t190 @t189)) % 34.02/34.27 (define @t193 () (= @t73 @t192)) % 34.02/34.27 (define @t194 () (or @t155 @t193)) % 34.02/34.27 (define @t195 () (not @t183)) % 34.02/34.27 (define @t196 () (and @t195 (not (= tptp.sz10 tptp.xp)) (forall @t61 (or @t92 @t187 @t126 (= @t4 tptp.xp))))) % 34.02/34.27 (define @t197 () (= @t73 @t196)) % 34.02/34.27 (define @t198 () (or @t155 @t197)) % 34.02/34.27 (define @t199 () (= @t86 (tptp.sdtasdt0 tptp.xp @t159))) % 34.02/34.27 (define @t200 () (not @t199)) % 34.02/34.27 (define @t201 () (not @t160)) % 34.02/34.27 (define @t202 () (or @t201 @t200)) % 34.02/34.27 (define @t203 () (not @t202)) % 34.02/34.27 (assume @p1 (forall @t3 (=> @t2 true))) % 34.02/34.27 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 34.02/34.27 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 34.02/34.27 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 34.02/34.27 (assume @p5 @t11) % 34.02/34.27 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 34.02/34.27 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 34.02/34.27 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 34.02/34.27 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t19)))) % 34.02/34.27 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 34.02/34.27 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 34.02/34.27 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 34.02/34.27 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 34.02/34.27 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t24) (= @t12 @t23)) @t22)))) % 34.02/34.27 (assume @p15 (forall @t3 (=> @t2 (=> @t28 (forall (@list @t4 @t13) (=> (and @t6 @t16) (=> (or @t26 @t25) @t22))))))) % 34.02/34.27 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t27 @t29))))) % 34.02/34.27 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t27 @t29))))) % 34.02/34.27 (assume @p18 (forall @t8 (=> @t7 (= @t32 (exists @t31 @t30))))) % 34.02/34.27 (assume @p19 (forall @t8 (=> @t7 (=> @t32 (forall @t31 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t30)))))) % 34.02/34.27 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.02/34.27 (assume @p21 (forall @t8 (=> @t7 (=> (and @t32 @t34) @t33)))) % 34.02/34.27 (assume @p22 (forall @t18 (=> @t17 (=> (and @t32 @t35) (tptp.sdtlseqdt0 @t1 @t13))))) % 34.02/34.27 (assume @p23 (forall @t8 (=> @t7 (or @t32 (and (not @t36) @t34))))) % 34.02/34.27 (assume @p24 (forall @t8 (=> @t7 (=> @t38 (forall @t31 (=> @t16 (and (not (= @t23 @t37)) (tptp.sdtlseqdt0 @t23 @t37) (not (= @t24 @t14)) (tptp.sdtlseqdt0 @t24 @t14)))))))) % 34.02/34.27 (assume @p25 (forall @t18 (=> @t17 (=> (and @t28 (not @t22) @t35) (and (not @t26) (tptp.sdtlseqdt0 @t9 @t21) (not @t25) (tptp.sdtlseqdt0 @t19 @t20)))))) % 34.02/34.27 (assume @p26 (forall @t3 (=> @t2 (or @t27 @t39 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 34.02/34.27 (assume @p27 (forall @t8 (=> @t7 (=> @t28 (tptp.sdtlseqdt0 @t4 @t19))))) % 34.02/34.27 (assume @p28 (forall @t8 (=> @t7 (=> @t40 true)))) % 34.02/34.27 (assume @p29 (forall @t8 (=> @t7 (=> @t38 @t40)))) % 34.02/34.27 (assume @p30 @t47) % 34.02/34.27 (assume @p31 @t54) % 34.02/34.27 (assume @p32 (forall @t18 (=> @t17 (=> (and @t44 (tptp.doDivides0 @t4 @t13)) @t55)))) % 34.02/34.27 (assume @p33 (forall @t18 (=> @t17 (=> (and @t44 @t55) @t56)))) % 34.02/34.27 (assume @p34 (forall @t18 (=> @t17 (=> (and @t44 @t56) @t55)))) % 34.02/34.27 (assume @p35 (forall @t8 (=> @t7 (=> (and @t44 (not @t29)) @t32)))) % 34.02/34.27 (assume @p36 (forall @t8 (=> @t7 (=> @t51 (forall @t31 (=> @t16 (= (tptp.sdtasdt0 @t13 @t48) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 34.02/34.27 (assume @p37 @t68) % 34.02/34.27 (assume @p38 (forall @t3 (=> (and @t2 @t28 @t63) (exists @t61 (and @t6 @t58 (tptp.isPrime0 @t4)))))) % 34.02/34.27 (assume @p39 (and @t71 @t70 @t69)) % 34.02/34.27 (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))))))) % 34.02/34.27 (assume @p41 (and @t73 (tptp.doDivides0 tptp.xp @t72))) % 34.02/34.27 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 34.02/34.27 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 34.02/34.27 (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))) % 34.02/34.27 (assume @p45 (= tptp.xk @t74)) % 34.02/34.27 (assume @p46 (not (or @t76 @t75))) % 34.02/34.27 (assume @p47 (and (not @t76) (not @t75))) % 34.02/34.27 (assume @p48 (and @t79 @t78 @t77)) % 34.02/34.27 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t72))) % 34.02/34.27 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 34.02/34.27 (assume @p51 (or @t80 (tptp.doDivides0 tptp.xr tptp.xm))) % 34.02/34.27 (assume @p52 @t80) % 34.02/34.27 (assume @p53 (and (not (= @t81 tptp.xn)) (tptp.sdtlseqdt0 @t81 tptp.xn))) % 34.02/34.27 (assume @p54 (and (= (tptp.sdtasdt0 @t86 tptp.xr) @t72) @t85)) % 34.02/34.27 (assume @p55 (= @t88 @t86)) % 34.02/34.27 (assume @p56 (not @t89)) % 34.02/34.27 (assume @p57 true) % 34.02/34.27 (step @p58 :rule aci_norm :args ((= (or @t94 @t91) (or @t93 @t92 @t91)))) % 34.02/34.27 (step @p59 :rule refl :args (@t91)) % 34.02/34.27 (step @p60 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 34.02/34.27 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t95 @t91))) % 34.02/34.27 (step @p62 :rule trans :premises (@p61 @p58)) % 34.02/34.27 (step @p63 :rule bool-impl-elim :args (@t7 @t91)) % 34.02/34.27 (step @p64 :rule trans :premises (@p63 @p62)) % 34.02/34.27 (step @p65 :rule cong :premises (@p64) :args ((forall @t8 (=> @t7 @t91)))) % 34.02/34.27 (step @p66 :rule bool-and-de-morgan :args (@t16 @t41 true)) % 34.02/34.27 (step @p67 :rule cong :premises (@p66) :args (@t96)) % 34.02/34.27 (step @p68 :rule cong :premises (@p67) :args (@t97)) % 34.02/34.27 (step @p69 :rule exists-elim :args ((= @t43 @t97))) % 34.02/34.27 (step @p70 :rule trans :premises (@p69 @p68)) % 34.02/34.27 (step @p71 :rule refl :args (@t44)) % 34.02/34.27 (step @p72 :rule cong :premises (@p71 @p70) :args (@t45)) % 34.02/34.27 (step @p73 :rule refl :args (@t7)) % 34.02/34.27 (step @p74 :rule cong :premises (@p73 @p72) :args (@t46)) % 34.02/34.27 (step @p75 :rule cong :premises (@p74) :args (@t47)) % 34.02/34.27 (step @p76 :rule trans :premises (@p75 @p65)) % 34.02/34.27 (step @p77 :rule eq_resolve :premises (@p30 @p76)) % 34.02/34.27 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.xp @t86))) % 34.02/34.27 (step @p79 :rule aci_norm :args ((= (or @t94 @t10) (or @t93 @t92 @t10)))) % 34.02/34.27 (step @p80 :rule refl :args (@t10)) % 34.02/34.27 (step @p81 :rule nary_cong :premises (@p60 @p80) :args ((or @t95 @t10))) % 34.02/34.27 (step @p82 :rule trans :premises (@p81 @p79)) % 34.02/34.27 (step @p83 :rule bool-impl-elim :args (@t7 @t10)) % 34.02/34.27 (step @p84 :rule trans :premises (@p83 @p82)) % 34.02/34.27 (step @p85 :rule cong :premises (@p84) :args (@t11)) % 34.02/34.27 (step @p86 :rule eq_resolve :premises (@p5 @p85)) % 34.02/34.27 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t81 tptp.xm))) % 34.02/34.27 (step @p88 :rule eq-symm :args (@t98 @t48)) % 34.02/34.27 (step @p89 :rule refl :args (@t99)) % 34.02/34.27 (step @p90 :rule cong :premises (@p89 @p88) :args (@t100)) % 34.02/34.27 (step @p91 :rule refl :args (@t101)) % 34.02/34.27 (step @p92 :rule refl :args (@t27)) % 34.02/34.27 (step @p93 :rule refl :args (@t92)) % 34.02/34.27 (step @p94 :rule refl :args (@t93)) % 34.02/34.27 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p90) :args (@t102)) % 34.02/34.27 (step @p96 :rule cong :premises (@p95) :args (@t104)) % 34.02/34.27 (step @p97 :rule quant-merge-prenex :args ((= (forall @t8 @t106) @t104))) % 34.02/34.27 (step @p98 :rule alpha_equiv :args (@t107 (@list @t98) (@list @t13))) % 34.02/34.27 (step @p99 :rule refl :args (@t101)) % 34.02/34.27 (step @p100 :rule refl :args (@t27)) % 34.02/34.27 (step @p101 :rule refl :args (@t92)) % 34.02/34.27 (step @p102 :rule refl :args (@t93)) % 34.02/34.27 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98) :args (@t108)) % 34.02/34.27 (step @p104 :rule quant-miniscope-or :args ((= @t106 @t108))) % 34.02/34.27 (step @p105 :rule trans :premises (@p104 @p103)) % 34.02/34.27 (step @p106 :rule symm :premises (@p105)) % 34.02/34.27 (step @p107 :rule cong :premises (@p106) :args ((forall @t8 @t110))) % 34.02/34.27 (step @p108 :rule trans :premises (@p107 @p97)) % 34.02/34.27 (step @p109 :rule trans :premises (@p108 @p96)) % 34.02/34.27 (step @p110 :rule aci_norm :args ((= (or @t94 @t111) @t110))) % 34.02/34.27 (step @p111 :rule aci_norm :args ((= (or (or @t27 @t101) @t109) @t111))) % 34.02/34.27 (step @p112 :rule refl :args (@t109)) % 34.02/34.27 (step @p113 :rule bool-double-not-elim :args (@t27)) % 34.02/34.27 (step @p114 :rule nary_cong :premises (@p113 @p99) :args ((or (not @t28) @t101))) % 34.02/34.27 (step @p115 :rule bool-and-de-morgan :args (@t28 @t44 true)) % 34.02/34.27 (step @p116 :rule trans :premises (@p115 @p114)) % 34.02/34.27 (step @p117 :rule nary_cong :premises (@p116 @p112) :args ((or (not @t51) @t109))) % 34.02/34.27 (step @p118 :rule trans :premises (@p117 @p111)) % 34.02/34.27 (step @p119 :rule bool-impl-elim :args (@t51 @t109)) % 34.02/34.27 (step @p120 :rule trans :premises (@p119 @p118)) % 34.02/34.27 (step @p121 :rule nary_cong :premises (@p60 @p120) :args ((or @t95 @t112))) % 34.02/34.27 (step @p122 :rule trans :premises (@p121 @p110)) % 34.02/34.27 (step @p123 :rule bool-impl-elim :args (@t7 @t112)) % 34.02/34.27 (step @p124 :rule trans :premises (@p123 @p122)) % 34.02/34.27 (step @p125 :rule cong :premises (@p124) :args ((forall @t8 (=> @t7 @t112)))) % 34.02/34.27 (step @p126 :rule trans :premises (@p125 @p109)) % 34.02/34.27 (step @p127 :rule eq-symm :args (@t49 @t42)) % 34.02/34.27 (step @p128 :rule cong :premises (@p127) :args (@t50)) % 34.02/34.27 (step @p129 :rule refl :args (@t51)) % 34.02/34.27 (step @p130 :rule cong :premises (@p129 @p128) :args (@t52)) % 34.02/34.27 (step @p131 :rule cong :premises (@p73 @p130) :args (@t53)) % 34.02/34.27 (step @p132 :rule cong :premises (@p131) :args (@t54)) % 34.02/34.27 (step @p133 :rule trans :premises (@p132 @p126)) % 34.02/34.27 (step @p134 :rule eq_resolve :premises (@p31 @p133)) % 34.02/34.27 (step @p135 :rule bool-eq-true :args (@t114)) % 34.02/34.27 (step @p136 :rule eq-refl :args (@t81)) % 34.02/34.27 (step @p137 :rule refl :args (@t114)) % 34.02/34.27 (step @p138 :rule cong :premises (@p137 @p136) :args (@t115)) % 34.02/34.27 (step @p139 :rule trans :premises (@p138 @p135)) % 34.02/34.27 (step @p140 :rule refl :args (@t116)) % 34.02/34.27 (step @p141 :rule eq-symm :args (tptp.xr tptp.sz00)) % 34.02/34.27 (step @p142 :rule refl :args (@t117)) % 34.02/34.27 (step @p143 :rule refl :args (@t118)) % 34.02/34.27 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139) :args (@t120)) % 34.02/34.27 (step @p145 :rule refl :args (@t121)) % 34.02/34.27 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t121 @t120))) % 34.02/34.27 (assume-push @p357 @t121) % 34.02/34.27 (step @p148 :rule instantiate :premises (@p134) :args ((@list tptp.xr tptp.xn @t81))) % 34.02/34.27 (step-pop @p358 :rule scope :premises (@p148)) % 34.02/34.27 (step @p149 :rule process_scope :premises (@p358) :args (@t120)) % 34.02/34.27 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 34.02/34.27 (step @p152 :rule implies_elim :premises (@p151)) % 34.02/34.27 (step @p153 :rule chain_m_resolution :premises (@p152 @p134) :args (@t123 @t124 @t125)) % 34.02/34.27 (step @p154 :rule bool-impl-elim :args (@t2 @t129)) % 34.02/34.27 (step @p155 :rule cong :premises (@p154) :args ((forall @t3 (=> @t2 @t129)))) % 34.02/34.27 (step @p156 :rule aci_norm :args ((= (or (or @t92 @t127) @t130) @t128))) % 34.02/34.27 (step @p157 :rule refl :args (@t130)) % 34.02/34.27 (step @p158 :rule bool-and-de-morgan :args (@t6 @t58 true)) % 34.02/34.27 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t59) @t130))) % 34.02/34.27 (step @p160 :rule trans :premises (@p159 @p156)) % 34.02/34.27 (step @p161 :rule bool-impl-elim :args (@t59 @t130)) % 34.02/34.27 (step @p162 :rule trans :premises (@p161 @p160)) % 34.02/34.27 (step @p163 :rule cong :premises (@p162) :args ((forall @t61 (=> @t59 @t130)))) % 34.02/34.27 (step @p164 :rule eq-symm :args (@t4 @t1)) % 34.02/34.27 (step @p165 :rule eq-symm :args (@t4 tptp.sz10)) % 34.02/34.27 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t57)) % 34.02/34.27 (step @p167 :rule refl :args (@t59)) % 34.02/34.27 (step @p168 :rule cong :premises (@p167 @p166) :args (@t60)) % 34.02/34.27 (step @p169 :rule cong :premises (@p168) :args (@t62)) % 34.02/34.27 (step @p170 :rule trans :premises (@p169 @p163)) % 34.02/34.27 (step @p171 :rule refl :args (@t63)) % 34.02/34.27 (step @p172 :rule refl :args (@t28)) % 34.02/34.27 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args (@t64)) % 34.02/34.27 (step @p174 :rule refl :args (@t65)) % 34.02/34.27 (step @p175 :rule cong :premises (@p174 @p173) :args (@t66)) % 34.02/34.27 (step @p176 :rule refl :args (@t2)) % 34.02/34.27 (step @p177 :rule cong :premises (@p176 @p175) :args (@t67)) % 34.02/34.27 (step @p178 :rule cong :premises (@p177) :args (@t68)) % 34.02/34.27 (step @p179 :rule trans :premises (@p178 @p155)) % 34.02/34.27 (step @p180 :rule eq_resolve :premises (@p37 @p179)) % 34.02/34.27 (step @p181 :rule eq-symm :args (tptp.xr @t4)) % 34.02/34.27 (step @p182 :rule refl :args (@t126)) % 34.02/34.27 (step @p183 :rule refl :args (@t131)) % 34.02/34.27 (step @p184 :rule nary_cong :premises (@p93 @p183 @p182 @p181) :args (@t132)) % 34.02/34.27 (step @p185 :rule cong :premises (@p184) :args (@t133)) % 34.02/34.27 (step @p186 :rule eq-symm :args (tptp.xr tptp.sz10)) % 34.02/34.27 (step @p187 :rule cong :premises (@p186) :args (@t134)) % 34.02/34.27 (step @p188 :rule cong :premises (@p141) :args (@t135)) % 34.02/34.27 (step @p189 :rule nary_cong :premises (@p188 @p187 @p185) :args (@t136)) % 34.02/34.27 (step @p190 :rule refl :args (@t77)) % 34.02/34.27 (step @p191 :rule cong :premises (@p190 @p189) :args (@t137)) % 34.02/34.27 (step @p192 :rule nary_cong :premises (@p143 @p191) :args (@t138)) % 34.02/34.27 (step @p193 :rule refl :args (@t139)) % 34.02/34.27 (step @p194 :rule cong :premises (@p193 @p192) :args ((=> @t139 @t138))) % 34.02/34.27 (assume-push @p359 @t139) % 34.02/34.27 (step @p196 :rule instantiate :premises (@p180) :args ((@list tptp.xr))) % 34.02/34.27 (step-pop @p360 :rule scope :premises (@p196)) % 34.02/34.27 (step @p197 :rule process_scope :premises (@p360) :args (@t138)) % 34.02/34.27 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 34.02/34.27 (step @p200 :rule implies_elim :premises (@p199)) % 34.02/34.27 (step @p201 :rule chain_m_resolution :premises (@p200 @p180) :args (@t143 @t124 @t144)) % 34.02/34.27 (step @p202 :rule and_elim :premises (@p48) :args (0)) % 34.02/34.27 (step @p203 :rule cnf_or_pos :args (@t143)) % 34.02/34.27 (step @p204 :rule reordering :premises (@p203) :args ((or @t118 @t142 (not @t143)))) % 34.02/34.27 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p201) :args (@t142 @t145 (@list @t79 @t143))) % 34.02/34.27 (step @p206 :rule and_elim :premises (@p48) :args (2)) % 34.02/34.27 (step @p207 :rule cnf_equiv_pos1 :args (@t142)) % 34.02/34.27 (step @p208 :rule reordering :premises (@p207) :args ((or (not @t77) @t141 (not @t142)))) % 34.02/34.27 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p205) :args (@t141 @t145 (@list @t77 @t142))) % 34.02/34.27 (step @p210 :rule cnf_and_pos :args (@t141 0)) % 34.02/34.27 (step @p211 :rule reordering :premises (@p210) :args ((or @t140 (not @t141)))) % 34.02/34.27 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t140 @t124 (@list @t141))) % 34.02/34.27 (step @p213 :rule and_elim :premises (@p39) :args (0)) % 34.02/34.27 (step @p214 :rule cnf_or_pos :args (@t123)) % 34.02/34.27 (step @p215 :rule reordering :premises (@p214) :args ((or @t116 @t117 @t118 @t122 @t114 (not @t123)))) % 34.02/34.27 (step @p216 :rule chain_m_resolution :premises (@p215 @p52 @p213 @p202 @p212 @p153) :args (@t114 (@list false false false true false) (@list @t80 @t71 @t79 @t122 @t123))) % 34.02/34.27 (step @p217 :rule cnf_and_pos :args (@t114 0)) % 34.02/34.27 (step @p218 :rule reordering :premises (@p217) :args ((or @t113 (not @t114)))) % 34.02/34.27 (step @p219 :rule chain_m_resolution :premises (@p218 @p216) :args (@t113 @t124 (@list @t114))) % 34.02/34.27 (step @p220 :rule and_elim :premises (@p39) :args (1)) % 34.02/34.27 (step @p221 :rule cnf_or_pos :args (@t149)) % 34.02/34.27 (step @p222 :rule reordering :premises (@p221) :args ((or @t147 @t148 @t146 (not @t149)))) % 34.02/34.27 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p219 @p87) :args (@t146 @t150 (@list @t70 @t113 @t149))) % 34.02/34.27 (step @p224 :rule and_elim :premises (@p39) :args (2)) % 34.02/34.27 (step @p225 :rule cnf_or_pos :args (@t156)) % 34.02/34.27 (step @p226 :rule reordering :premises (@p225) :args ((or @t155 @t154 @t153 (not @t156)))) % 34.02/34.27 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p223 @p78) :args (@t153 @t150 (@list @t69 @t146 @t156))) % 34.02/34.27 (step @p228 :rule bool-double-not-elim :args (@t151)) % 34.02/34.27 (step @p229 :rule refl :args (@t89)) % 34.02/34.27 (step @p230 :rule refl :args (@t157)) % 34.02/34.27 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228) :args ((or @t157 @t89 (not @t152)))) % 34.02/34.27 (step @p232 :rule cnf_equiv_pos2 :args (@t153)) % 34.02/34.27 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 34.02/34.27 (step @p234 :rule reordering :premises (@p233) :args ((or @t89 @t151 @t157))) % 34.02/34.27 (step @p235 :rule chain_m_resolution :premises (@p234 @p56 @p227) :args (@t151 @t158 (@list @t89 @t153))) % 34.02/34.27 (step @p236 :rule bool-eq-true :args (@t161)) % 34.02/34.27 (step @p237 :rule eq-refl :args (@t159)) % 34.02/34.27 (step @p238 :rule refl :args (@t161)) % 34.02/34.27 (step @p239 :rule cong :premises (@p238 @p237) :args (@t162)) % 34.02/34.27 (step @p240 :rule trans :premises (@p239 @p236)) % 34.02/34.27 (step @p241 :rule refl :args (@t164)) % 34.02/34.27 (step @p242 :rule refl :args (@t166)) % 34.02/34.27 (step @p243 :rule nary_cong :premises (@p143 @p242 @p141 @p241 @p240) :args (@t167)) % 34.02/34.27 (step @p244 :rule cong :premises (@p145 @p243) :args ((=> @t121 @t167))) % 34.02/34.27 (assume-push @p361 @t121) % 34.02/34.27 (step @p246 :rule instantiate :premises (@p134) :args ((@list tptp.xr @t74 @t159))) % 34.02/34.27 (step-pop @p362 :rule scope :premises (@p246)) % 34.02/34.27 (step @p247 :rule process_scope :premises (@p362) :args (@t167)) % 34.02/34.27 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 34.02/34.27 (step @p250 :rule implies_elim :premises (@p249)) % 34.02/34.27 (step @p251 :rule chain_m_resolution :premises (@p250 @p134) :args (@t168 @t124 @t125)) % 34.02/34.27 (step @p252 :rule eq-symm :args (@t171 @t74)) % 34.02/34.27 (step @p253 :rule eq-symm :args (@t170 @t169)) % 34.02/34.27 (step @p254 :rule refl :args (@t165)) % 34.02/34.27 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t172)) % 34.02/34.27 (step @p256 :rule cong :premises (@p255 @p252) :args (@t173)) % 34.02/34.27 (step @p257 :rule refl :args (@t175)) % 34.02/34.27 (step @p258 :rule eq-symm :args (tptp.xp tptp.sz00)) % 34.02/34.27 (step @p259 :rule refl :args (@t177)) % 34.02/34.27 (step @p260 :rule refl :args (@t155)) % 34.02/34.27 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258 @p257 @p256) :args (@t179)) % 34.02/34.27 (step @p262 :rule cong :premises (@p145 @p261) :args ((=> @t121 @t179))) % 34.02/34.27 (assume-push @p363 @t121) % 34.02/34.27 (step @p264 :rule instantiate :premises (@p134) :args ((@list tptp.xp @t170 @t74))) % 34.02/34.27 (step-pop @p364 :rule scope :premises (@p264)) % 34.02/34.27 (step @p265 :rule process_scope :premises (@p364) :args (@t179)) % 34.02/34.27 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 34.02/34.27 (step @p268 :rule implies_elim :premises (@p267)) % 34.02/34.27 (step @p269 :rule chain_m_resolution :premises (@p268 @p134) :args (@t184 @t124 @t125)) % 34.02/34.27 (step @p270 :rule and_elim :premises (@p41) :args (1)) % 34.02/34.27 (step @p271 :rule true_intro :premises (@p270)) % 34.02/34.27 (step @p272 :rule refl :args (tptp.xr)) % 34.02/34.27 (step @p273 :rule refl :args (tptp.xp)) % 34.02/34.27 (step @p274 :rule cong :premises (@p273 @p45) :args (@t82)) % 34.02/34.27 (step @p275 :rule cong :premises (@p274 @p272) :args (@t83)) % 34.02/34.27 (step @p276 :rule cong :premises (@p275 @p272) :args (@t84)) % 34.02/34.27 (step @p277 :rule refl :args (@t72)) % 34.02/34.27 (step @p278 :rule cong :premises (@p277 @p276) :args (@t85)) % 34.02/34.27 (step @p279 :rule and_elim :premises (@p54) :args (1)) % 34.02/34.27 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 34.02/34.27 (step @p281 :rule symm :premises (@p280)) % 34.02/34.27 (step @p282 :rule cong :premises (@p273 @p281) :args (@t174)) % 34.02/34.27 (step @p283 :rule trans :premises (@p282 @p271)) % 34.02/34.27 (step @p284 :rule true_elim :premises (@p283)) % 34.02/34.27 (step @p285 :rule instantiate :premises (@p86) :args ((@list tptp.xn tptp.xm))) % 34.02/34.27 (step @p286 :rule cnf_or_pos :args (@t186)) % 34.02/34.27 (step @p287 :rule reordering :premises (@p286) :args ((or @t117 @t147 @t185 (not @t186)))) % 34.02/34.27 (step @p288 :rule chain_m_resolution :premises (@p287 @p213 @p220 @p285) :args (@t185 @t150 (@list @t71 @t70 @t186))) % 34.02/34.27 (step @p289 :rule true_intro :premises (@p288)) % 34.02/34.27 (step @p290 :rule cong :premises (@p281) :args (@t176)) % 34.02/34.27 (step @p291 :rule trans :premises (@p290 @p289)) % 34.02/34.27 (step @p292 :rule true_elim :premises (@p291)) % 34.02/34.27 (step @p293 :rule eq-symm :args (tptp.xp @t4)) % 34.02/34.27 (step @p294 :rule refl :args (@t187)) % 34.02/34.27 (step @p295 :rule nary_cong :premises (@p93 @p294 @p182 @p293) :args (@t188)) % 34.02/34.27 (step @p296 :rule cong :premises (@p295) :args (@t189)) % 34.02/34.27 (step @p297 :rule eq-symm :args (tptp.xp tptp.sz10)) % 34.02/34.27 (step @p298 :rule cong :premises (@p297) :args (@t190)) % 34.02/34.27 (step @p299 :rule cong :premises (@p258) :args (@t191)) % 34.02/34.27 (step @p300 :rule nary_cong :premises (@p299 @p298 @p296) :args (@t192)) % 34.02/34.27 (step @p301 :rule refl :args (@t73)) % 34.02/34.27 (step @p302 :rule cong :premises (@p301 @p300) :args (@t193)) % 34.02/34.27 (step @p303 :rule nary_cong :premises (@p260 @p302) :args (@t194)) % 34.02/34.27 (step @p304 :rule cong :premises (@p193 @p303) :args ((=> @t139 @t194))) % 34.02/34.27 (assume-push @p365 @t139) % 34.02/34.27 (step @p306 :rule instantiate :premises (@p180) :args ((@list tptp.xp))) % 34.02/34.27 (step-pop @p366 :rule scope :premises (@p306)) % 34.02/34.27 (step @p307 :rule process_scope :premises (@p366) :args (@t194)) % 34.02/34.27 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 34.02/34.27 (step @p310 :rule implies_elim :premises (@p309)) % 34.02/34.27 (step @p311 :rule chain_m_resolution :premises (@p310 @p180) :args (@t198 @t124 @t144)) % 34.02/34.27 (step @p312 :rule cnf_or_pos :args (@t198)) % 34.02/34.27 (step @p313 :rule reordering :premises (@p312) :args ((or @t155 @t197 (not @t198)))) % 34.02/34.27 (step @p314 :rule chain_m_resolution :premises (@p313 @p224 @p311) :args (@t197 @t145 (@list @t69 @t198))) % 34.02/34.27 (step @p315 :rule and_elim :premises (@p41) :args (0)) % 34.02/34.27 (step @p316 :rule cnf_equiv_pos1 :args (@t197)) % 34.02/34.27 (step @p317 :rule reordering :premises (@p316) :args ((or (not @t73) @t196 (not @t197)))) % 34.02/34.27 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p314) :args (@t196 @t145 (@list @t73 @t197))) % 34.02/34.27 (step @p319 :rule cnf_and_pos :args (@t196 0)) % 34.02/34.27 (step @p320 :rule reordering :premises (@p319) :args ((or @t195 (not @t196)))) % 34.02/34.27 (step @p321 :rule chain_m_resolution :premises (@p320 @p318) :args (@t195 @t124 (@list @t196))) % 34.02/34.27 (step @p322 :rule cnf_or_pos :args (@t184)) % 34.02/34.27 (step @p323 :rule reordering :premises (@p322) :args ((or @t155 @t183 @t177 @t175 @t182 (not @t184)))) % 34.02/34.27 (step @p324 :rule chain_m_resolution :premises (@p323 @p224 @p321 @p292 @p284 @p269) :args (@t182 (@list false true false false false) (@list @t69 @t183 @t176 @t174 @t184))) % 34.02/34.27 (step @p325 :rule cong :premises (@p280 @p273) :args (@t74)) % 34.02/34.27 (step @p326 :rule cnf_equiv_pos2 :args (@t182)) % 34.02/34.27 (step @p327 :rule reordering :premises (@p326) :args ((or @t181 (not @t180) (not @t182)))) % 34.02/34.27 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p324) :args (@t181 @t145 (@list @t180 @t182))) % 34.02/34.27 (step @p329 :rule cnf_and_pos :args (@t181 0)) % 34.02/34.27 (step @p330 :rule reordering :premises (@p329) :args ((or @t165 (not @t181)))) % 34.02/34.27 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t165 @t124 (@list @t181))) % 34.02/34.27 (step @p332 :rule cong :premises (@p272 @p45) :args (@t78)) % 34.02/34.27 (step @p333 :rule and_elim :premises (@p48) :args (1)) % 34.02/34.27 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 34.02/34.27 (step @p335 :rule cnf_or_pos :args (@t168)) % 34.02/34.27 (step @p336 :rule reordering :premises (@p335) :args ((or @t118 @t164 @t122 @t166 @t161 (not @t168)))) % 34.02/34.27 (step @p337 :rule chain_m_resolution :premises (@p336 @p202 @p334 @p212 @p331 @p251) :args (@t161 (@list false false true false false) (@list @t79 @t163 @t122 @t165 @t168))) % 34.02/34.27 (step @p338 :rule cnf_and_pos :args (@t161 0)) % 34.02/34.27 (step @p339 :rule reordering :premises (@p338) :args ((or @t160 (not @t161)))) % 34.02/34.27 (step @p340 :rule chain_m_resolution :premises (@p339 @p337) :args (@t160 @t124 (@list @t161))) % 34.02/34.27 (step @p341 :rule cong :premises (@p45 @p272) :args (@t87)) % 34.02/34.27 (step @p342 :rule cong :premises (@p273 @p341) :args (@t88)) % 34.02/34.27 (step @p343 :rule refl :args (@t86)) % 34.02/34.27 (step @p344 :rule cong :premises (@p343 @p342) :args ((= @t86 @t88))) % 34.02/34.27 (step @p345 :rule eq-symm :args (@t88 @t86)) % 34.02/34.27 (step @p346 :rule trans :premises (@p345 @p344)) % 34.02/34.27 (step @p347 :rule eq_resolve :premises (@p55 @p346)) % 34.02/34.27 (step @p348 :rule cnf_or_pos :args (@t202)) % 34.02/34.27 (step @p349 :rule reordering :premises (@p348) :args ((or @t200 @t201 @t203))) % 34.02/34.27 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p340) :args (@t203 @t145 (@list @t199 @t160))) % 34.02/34.27 (assume-push @p367 @t151) % 34.02/34.27 (step @p352 :rule instantiate :premises (@p235) :args ((@list @t159))) % 34.02/34.27 (step-pop @p368 :rule scope :premises (@p352)) % 34.02/34.27 (step @p353 :rule process_scope :premises (@p368) :args (@t202)) % 34.02/34.27 (step @p355 :rule implies_elim :premises (@p353)) % 34.02/34.27 (step @p356 false :rule chain_m_resolution :premises (@p355 @p350 @p235) :args (false @t158 (@list @t202 @t151))) % 34.02/34.27 ) % 34.02/34.27 % SZS output end Proof % 34.02/34.27 % cvc5 exiting %------------------------------------------------------------------------------