%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM493+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 : n015.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 08:39:36 AM UTC 2026 % Result : Theorem 44.87s 45.04s % Output : Proof 44.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM493+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:24:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 44.87/45.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 44.87/45.04 --- Run --no-e-matching --full-saturate-quant at 6... % 44.87/45.04 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 44.87/45.04 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 44.87/45.04 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.87/45.04 % SZS status Theorem % 44.87/45.04 % SZS output start Proof % 44.87/45.04 ( % 44.87/45.04 (declare-sort $$unsorted 0) % 44.87/45.04 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 44.87/45.04 (declare-const tptp.xm $$unsorted) % 44.87/45.04 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.87/45.04 (declare-const tptp.xr $$unsorted) % 44.87/45.04 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 44.87/45.04 (declare-const tptp.xn $$unsorted) % 44.87/45.04 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 44.87/45.04 (declare-const tptp.sz00 $$unsorted) % 44.87/45.04 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.87/45.04 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.87/45.04 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 44.87/45.04 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 44.87/45.04 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 44.87/45.04 (declare-const tptp.sz10 $$unsorted) % 44.87/45.04 (declare-const tptp.xp $$unsorted) % 44.87/45.04 (define @t1 () (@var "W0" $$unsorted)) % 44.87/45.04 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 44.87/45.04 (define @t3 () (@list @t1)) % 44.87/45.04 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 44.87/45.04 (define @t5 () (@var "W1" $$unsorted)) % 44.87/45.04 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 44.87/45.04 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 44.87/45.04 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 44.87/45.04 (define @t9 () (and @t2 @t8)) % 44.87/45.04 (define @t10 () (@list @t1 @t5)) % 44.87/45.04 (define @t11 () (forall @t10 (=> @t9 @t7))) % 44.87/45.04 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 44.87/45.04 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 44.87/45.04 (define @t14 () (= @t6 @t13)) % 44.87/45.04 (define @t15 () (forall @t10 (=> @t9 @t14))) % 44.87/45.04 (define @t16 () (@var "W2" $$unsorted)) % 44.87/45.04 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 44.87/45.04 (define @t18 () (tptp.sdtpldt0 @t6 @t16)) % 44.87/45.04 (define @t19 () (= @t18 (tptp.sdtpldt0 @t1 @t17))) % 44.87/45.04 (define @t20 () (tptp.aNaturalNumber0 @t16)) % 44.87/45.04 (define @t21 () (and @t2 @t8 @t20)) % 44.87/45.04 (define @t22 () (@list @t1 @t5 @t16)) % 44.87/45.04 (define @t23 () (forall @t22 (=> @t21 @t19))) % 44.87/45.04 (define @t24 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 44.87/45.04 (define @t25 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 44.87/45.04 (define @t26 () (and (= @t25 @t1) @t24)) % 44.87/45.04 (define @t27 () (=> @t2 @t26)) % 44.87/45.04 (define @t28 () (forall @t3 @t27)) % 44.87/45.04 (define @t29 () (tptp.sdtasdt0 @t5 @t1)) % 44.87/45.04 (define @t30 () (tptp.sdtasdt0 @t16 @t1)) % 44.87/45.04 (define @t31 () (tptp.sdtasdt0 @t1 @t16)) % 44.87/45.04 (define @t32 () (= @t5 @t16)) % 44.87/45.04 (define @t33 () (tptp.sdtpldt0 @t16 @t1)) % 44.87/45.04 (define @t34 () (= @t13 @t33)) % 44.87/45.04 (define @t35 () (tptp.sdtpldt0 @t1 @t16)) % 44.87/45.04 (define @t36 () (= @t6 @t35)) % 44.87/45.04 (define @t37 () (or @t36 @t34)) % 44.87/45.04 (define @t38 () (=> @t37 @t32)) % 44.87/45.04 (define @t39 () (forall @t22 (=> @t21 @t38))) % 44.87/45.04 (define @t40 () (= @t29 @t30)) % 44.87/45.04 (define @t41 () (= @t12 @t31)) % 44.87/45.04 (define @t42 () (and @t8 @t20)) % 44.87/45.04 (define @t43 () (= @t1 tptp.sz00)) % 44.87/45.04 (define @t44 () (not @t43)) % 44.87/45.04 (define @t45 () (= @t5 tptp.sz00)) % 44.87/45.04 (define @t46 () (and @t20 (= @t35 @t5))) % 44.87/45.04 (define @t47 () (@list @t16)) % 44.87/45.04 (define @t48 () (exists @t47 @t46)) % 44.87/45.04 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 44.87/45.04 (define @t50 () (= @t49 @t48)) % 44.87/45.04 (define @t51 () (=> @t9 @t50)) % 44.87/45.04 (define @t52 () (forall @t10 @t51)) % 44.87/45.04 (define @t53 () (tptp.sdtmndt0 @t5 @t1)) % 44.87/45.04 (define @t54 () (= @t16 @t53)) % 44.87/45.04 (define @t55 () (forall @t47 (= @t54 @t46))) % 44.87/45.04 (define @t56 () (=> @t49 @t55)) % 44.87/45.04 (define @t57 () (=> @t9 @t56)) % 44.87/45.04 (define @t58 () (forall @t10 @t57)) % 44.87/45.04 (define @t59 () (tptp.sdtlseqdt0 @t1 @t1)) % 44.87/45.04 (define @t60 () (forall @t3 (=> @t2 @t59))) % 44.87/45.04 (define @t61 () (= @t1 @t5)) % 44.87/45.04 (define @t62 () (tptp.sdtlseqdt0 @t5 @t1)) % 44.87/45.04 (define @t63 () (and @t49 @t62)) % 44.87/45.04 (define @t64 () (=> @t63 @t61)) % 44.87/45.04 (define @t65 () (forall @t10 (=> @t9 @t64))) % 44.87/45.04 (define @t66 () (tptp.sdtlseqdt0 @t5 @t16)) % 44.87/45.04 (define @t67 () (= @t5 @t1)) % 44.87/45.04 (define @t68 () (not @t67)) % 44.87/45.04 (define @t69 () (and @t68 @t62)) % 44.87/45.04 (define @t70 () (or @t49 @t69)) % 44.87/45.04 (define @t71 () (=> @t9 @t70)) % 44.87/45.04 (define @t72 () (forall @t10 @t71)) % 44.87/45.04 (define @t73 () (tptp.sdtlseqdt0 @t35 @t17)) % 44.87/45.04 (define @t74 () (not (= @t35 @t17))) % 44.87/45.04 (define @t75 () (tptp.sdtpldt0 @t16 @t5)) % 44.87/45.04 (define @t76 () (tptp.sdtlseqdt0 @t33 @t75)) % 44.87/45.04 (define @t77 () (not (= @t33 @t75))) % 44.87/45.04 (define @t78 () (and @t77 @t76 @t74 @t73)) % 44.87/45.04 (define @t79 () (=> @t20 @t78)) % 44.87/45.04 (define @t80 () (forall @t47 @t79)) % 44.87/45.04 (define @t81 () (not @t61)) % 44.87/45.04 (define @t82 () (and @t81 @t49)) % 44.87/45.04 (define @t83 () (=> @t82 @t80)) % 44.87/45.04 (define @t84 () (=> @t9 @t83)) % 44.87/45.04 (define @t85 () (forall @t10 @t84)) % 44.87/45.04 (define @t86 () (= @t1 tptp.sz10)) % 44.87/45.04 (define @t87 () (tptp.iLess0 @t1 @t5)) % 44.87/45.04 (define @t88 () (=> @t82 @t87)) % 44.87/45.04 (define @t89 () (forall @t10 (=> @t9 @t88))) % 44.87/45.04 (define @t90 () (and @t20 (= @t5 @t31))) % 44.87/45.04 (define @t91 () (tptp.doDivides0 @t1 @t5)) % 44.87/45.04 (define @t92 () (tptp.sdtsldt0 @t5 @t1)) % 44.87/45.04 (define @t93 () (and @t44 @t91)) % 44.87/45.04 (define @t94 () (tptp.doDivides0 @t1 @t16)) % 44.87/45.04 (define @t95 () (tptp.doDivides0 @t1 @t17)) % 44.87/45.04 (define @t96 () (or (= @t5 tptp.sz10) @t67)) % 44.87/45.04 (define @t97 () (tptp.doDivides0 @t5 @t1)) % 44.87/45.04 (define @t98 () (and @t8 @t97)) % 44.87/45.04 (define @t99 () (=> @t98 @t96)) % 44.87/45.04 (define @t100 () (@list @t5)) % 44.87/45.04 (define @t101 () (forall @t100 @t99)) % 44.87/45.04 (define @t102 () (not @t86)) % 44.87/45.04 (define @t103 () (and @t44 @t102 @t101)) % 44.87/45.04 (define @t104 () (tptp.isPrime0 @t1)) % 44.87/45.04 (define @t105 () (= @t104 @t103)) % 44.87/45.04 (define @t106 () (=> @t2 @t105)) % 44.87/45.04 (define @t107 () (forall @t3 @t106)) % 44.87/45.04 (define @t108 () (tptp.aNaturalNumber0 tptp.xp)) % 44.87/45.04 (define @t109 () (tptp.aNaturalNumber0 tptp.xm)) % 44.87/45.04 (define @t110 () (tptp.aNaturalNumber0 tptp.xn)) % 44.87/45.04 (define @t111 () (tptp.doDivides0 @t16 @t5)) % 44.87/45.04 (define @t112 () (tptp.doDivides0 @t16 @t1)) % 44.87/45.04 (define @t113 () (or @t112 @t111)) % 44.87/45.04 (define @t114 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 44.87/45.04 (define @t115 () (tptp.sdtpldt0 @t114 tptp.xp)) % 44.87/45.04 (define @t116 () (tptp.iLess0 @t18 @t115)) % 44.87/45.04 (define @t117 () (=> @t116 @t113)) % 44.87/45.04 (define @t118 () (tptp.doDivides0 @t16 @t12)) % 44.87/45.04 (define @t119 () (tptp.isPrime0 @t16)) % 44.87/45.04 (define @t120 () (and @t119 @t118)) % 44.87/45.04 (define @t121 () (=> @t120 @t117)) % 44.87/45.04 (define @t122 () (forall @t22 (=> @t21 @t121))) % 44.87/45.04 (define @t123 () (tptp.isPrime0 tptp.xp)) % 44.87/45.04 (define @t124 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 44.87/45.04 (define @t125 () (tptp.sdtmndt0 tptp.xn tptp.xp)) % 44.87/45.04 (define @t126 () (tptp.sdtlseqdt0 tptp.xr tptp.xn)) % 44.87/45.04 (define @t127 () (not (= tptp.xr tptp.xn))) % 44.87/45.04 (define @t128 () (tptp.sdtasdt0 tptp.xr tptp.xm)) % 44.87/45.04 (define @t129 () (tptp.doDivides0 tptp.xp @t128)) % 44.87/45.04 (define @t130 () (tptp.doDivides0 tptp.xp tptp.xm)) % 44.87/45.04 (define @t131 () (tptp.doDivides0 tptp.xp tptp.xr)) % 44.87/45.04 (define @t132 () (or @t131 @t130)) % 44.87/45.04 (define @t133 () (not @t132)) % 44.87/45.04 (define @t134 () (and (= @t1 @t25) @t24)) % 44.87/45.04 (define @t135 () (tptp.sdtpldt0 tptp.sz00 tptp.sz00)) % 44.87/45.04 (define @t136 () (= tptp.sz00 @t135)) % 44.87/45.04 (define @t137 () (and @t136 @t136)) % 44.87/45.04 (define @t138 () (not @t4)) % 44.87/45.04 (define @t139 () (or @t138 @t137)) % 44.87/45.04 (define @t140 () (not @t2)) % 44.87/45.04 (define @t141 () (forall @t3 (or @t140 @t134))) % 44.87/45.04 (define @t142 () (or @t138 @t136)) % 44.87/45.04 (define @t143 () (@list false)) % 44.87/45.04 (define @t144 () (@list false false)) % 44.87/45.04 (define @t145 () (@var "BOUND_VARIABLE_7919" $$unsorted)) % 44.87/45.04 (define @t146 () (tptp.sdtpldt0 @t5 @t145)) % 44.87/45.04 (define @t147 () (tptp.sdtpldt0 @t1 @t145)) % 44.87/45.04 (define @t148 () (tptp.sdtpldt0 @t145 @t5)) % 44.87/45.04 (define @t149 () (tptp.sdtpldt0 @t145 @t1)) % 44.87/45.04 (define @t150 () (and (not (= @t149 @t148)) (tptp.sdtlseqdt0 @t149 @t148) (not (= @t146 @t147)) (tptp.sdtlseqdt0 @t147 @t146))) % 44.87/45.04 (define @t151 () (not (tptp.aNaturalNumber0 @t145))) % 44.87/45.04 (define @t152 () (not @t49)) % 44.87/45.04 (define @t153 () (not @t8)) % 44.87/45.04 (define @t154 () (or @t140 @t153 @t61 @t152 @t151 @t150)) % 44.87/45.04 (define @t155 () (or @t151 @t150)) % 44.87/45.04 (define @t156 () (or @t140 @t153 @t61 @t152 @t155)) % 44.87/45.04 (define @t157 () (@list @t1 @t5 @t145)) % 44.87/45.04 (define @t158 () (forall @t157 @t156)) % 44.87/45.04 (define @t159 () (@list @t145)) % 44.87/45.04 (define @t160 () (forall @t159 @t156)) % 44.87/45.04 (define @t161 () (forall @t159 @t155)) % 44.87/45.04 (define @t162 () (@list @t16)) % 44.87/45.04 (define @t163 () (or @t140 @t153 @t61 @t152 @t161)) % 44.87/45.04 (define @t164 () (and @t77 @t76 (not (= @t17 @t35)) @t73)) % 44.87/45.04 (define @t165 () (not @t20)) % 44.87/45.04 (define @t166 () (forall @t47 (or @t165 @t164))) % 44.87/45.04 (define @t167 () (or @t140 @t153 @t61 @t152 @t166)) % 44.87/45.04 (define @t168 () (or @t61 @t152 @t166)) % 44.87/45.04 (define @t169 () (or @t140 @t153)) % 44.87/45.04 (define @t170 () (or @t61 @t152)) % 44.87/45.04 (define @t171 () (not @t82)) % 44.87/45.04 (define @t172 () (=> @t82 @t166)) % 44.87/45.04 (define @t173 () (not @t9)) % 44.87/45.04 (define @t174 () (forall @t47 (or @t165 (not (= tptp.xn (tptp.sdtpldt0 tptp.xp @t16)))))) % 44.87/45.04 (define @t175 () (@quantifiers_skolemize @t174 0)) % 44.87/45.04 (define @t176 () (tptp.sdtpldt0 @t135 @t175)) % 44.87/45.04 (define @t177 () (tptp.sdtpldt0 tptp.xp @t175)) % 44.87/45.04 (define @t178 () (tptp.sdtlseqdt0 @t177 @t176)) % 44.87/45.04 (define @t179 () (not (= @t176 @t177))) % 44.87/45.04 (define @t180 () (tptp.sdtpldt0 @t175 @t135)) % 44.87/45.04 (define @t181 () (tptp.sdtpldt0 @t175 tptp.xp)) % 44.87/45.04 (define @t182 () (tptp.sdtlseqdt0 @t181 @t180)) % 44.87/45.04 (define @t183 () (not (= @t181 @t180))) % 44.87/45.04 (define @t184 () (and @t183 @t182 @t179 @t178)) % 44.87/45.04 (define @t185 () (tptp.aNaturalNumber0 @t175)) % 44.87/45.04 (define @t186 () (not @t185)) % 44.87/45.04 (define @t187 () (tptp.sdtlseqdt0 tptp.xp @t135)) % 44.87/45.04 (define @t188 () (not @t187)) % 44.87/45.04 (define @t189 () (= tptp.xp @t135)) % 44.87/45.04 (define @t190 () (tptp.aNaturalNumber0 @t135)) % 44.87/45.04 (define @t191 () (not @t190)) % 44.87/45.04 (define @t192 () (not @t108)) % 44.87/45.04 (define @t193 () (or @t192 @t191 @t189 @t188 @t186 @t184)) % 44.87/45.04 (define @t194 () (forall @t157 @t154)) % 44.87/45.04 (define @t195 () (and @t183 @t182 (not (= @t177 @t176)) @t178)) % 44.87/45.04 (define @t196 () (or @t192 @t191 @t189 @t188 @t186 @t195)) % 44.87/45.04 (define @t197 () (@list @t194)) % 44.87/45.04 (define @t198 () (not @t62)) % 44.87/45.04 (define @t199 () (or @t140 @t153 @t152 @t198 @t61)) % 44.87/45.04 (define @t200 () (or @t152 @t198 @t61)) % 44.87/45.04 (define @t201 () (not (tptp.sdtlseqdt0 tptp.xn @t125))) % 44.87/45.04 (define @t202 () (tptp.sdtlseqdt0 @t125 tptp.xn)) % 44.87/45.04 (define @t203 () (not @t202)) % 44.87/45.04 (define @t204 () (not @t110)) % 44.87/45.04 (define @t205 () (tptp.aNaturalNumber0 @t125)) % 44.87/45.04 (define @t206 () (not @t205)) % 44.87/45.04 (define @t207 () (or @t206 @t204 @t203 @t201 (= @t125 tptp.xn))) % 44.87/45.04 (define @t208 () (forall @t10 @t199)) % 44.87/45.04 (define @t209 () (@list @t125 tptp.xn)) % 44.87/45.04 (define @t210 () (= tptp.xn @t125)) % 44.87/45.04 (define @t211 () (or @t206 @t204 @t203 @t201 @t210)) % 44.87/45.04 (define @t212 () (@var "BOUND_VARIABLE_7863" $$unsorted)) % 44.87/45.04 (define @t213 () (= @t53 @t212)) % 44.87/45.04 (define @t214 () (and (tptp.aNaturalNumber0 @t212) (= @t5 (tptp.sdtpldt0 @t1 @t212)))) % 44.87/45.04 (define @t215 () (= (= @t212 @t53) @t214)) % 44.87/45.04 (define @t216 () (or @t140 @t153 @t152 @t215)) % 44.87/45.04 (define @t217 () (@list @t1 @t5 @t212)) % 44.87/45.04 (define @t218 () (forall @t217 @t216)) % 44.87/45.04 (define @t219 () (@list @t212)) % 44.87/45.04 (define @t220 () (forall @t219 @t216)) % 44.87/45.04 (define @t221 () (forall @t219 @t215)) % 44.87/45.04 (define @t222 () (or @t140 @t153 @t152 @t221)) % 44.87/45.04 (define @t223 () (= @t5 @t35)) % 44.87/45.04 (define @t224 () (and @t20 @t223)) % 44.87/45.04 (define @t225 () (forall @t47 (= @t54 @t224))) % 44.87/45.04 (define @t226 () (or @t140 @t153 @t152 @t225)) % 44.87/45.04 (define @t227 () (=> @t49 @t225)) % 44.87/45.04 (define @t228 () (tptp.sdtpldt0 tptp.xp @t125)) % 44.87/45.04 (define @t229 () (= tptp.xn @t228)) % 44.87/45.04 (define @t230 () (and @t205 @t229)) % 44.87/45.04 (define @t231 () (= @t125 @t125)) % 44.87/45.04 (define @t232 () (not @t124)) % 44.87/45.04 (define @t233 () (or @t192 @t204 @t232 (= @t230 @t231))) % 44.87/45.04 (define @t234 () (forall @t217 (or @t140 @t153 @t152 (= @t214 @t213)))) % 44.87/45.04 (define @t235 () (or @t192 @t204 @t232 @t230)) % 44.87/45.04 (define @t236 () (@list @t234)) % 44.87/45.04 (define @t237 () (@list false false false false)) % 44.87/45.04 (define @t238 () (not @t230)) % 44.87/45.04 (define @t239 () (@list @t230)) % 44.87/45.04 (define @t240 () (= tptp.xn tptp.xr)) % 44.87/45.04 (define @t241 () (tptp.sdtpldt0 tptp.sz00 @t125)) % 44.87/45.04 (define @t242 () (tptp.sdtpldt0 @t125 tptp.sz00)) % 44.87/45.04 (define @t243 () (= @t125 @t242)) % 44.87/45.04 (define @t244 () (and @t243 (= @t125 @t241))) % 44.87/45.04 (define @t245 () (or @t206 @t244)) % 44.87/45.04 (define @t246 () (= @t241 @t242)) % 44.87/45.04 (define @t247 () (or @t138 @t206 @t246)) % 44.87/45.04 (define @t248 () (@list false false false)) % 44.87/45.04 (define @t249 () (tptp.sdtpldt0 @t135 @t125)) % 44.87/45.04 (define @t250 () (or @t140 @t153 @t165)) % 44.87/45.04 (define @t251 () (not @t21)) % 44.87/45.04 (define @t252 () (= @t249 (tptp.sdtpldt0 tptp.sz00 @t241))) % 44.87/45.04 (define @t253 () (or @t138 @t138 @t206 @t252)) % 44.87/45.04 (define @t254 () (= @t125 @t175)) % 44.87/45.04 (define @t255 () (= tptp.xn @t177)) % 44.87/45.04 (define @t256 () (and @t185 @t255)) % 44.87/45.04 (define @t257 () (= @t256 @t254)) % 44.87/45.04 (define @t258 () (or @t192 @t204 @t232 @t257)) % 44.87/45.04 (define @t259 () (= @t49 (not (forall @t47 (or @t165 (not @t223)))))) % 44.87/45.04 (define @t260 () (forall @t47 (not @t224))) % 44.87/45.04 (define @t261 () (not @t260)) % 44.87/45.04 (define @t262 () (not @t174)) % 44.87/45.04 (define @t263 () (= @t124 @t262)) % 44.87/45.04 (define @t264 () (or @t192 @t204 @t263)) % 44.87/45.04 (define @t265 () (not @t255)) % 44.87/45.04 (define @t266 () (or @t186 @t265)) % 44.87/45.04 (define @t267 () (@list true)) % 44.87/45.04 (define @t268 () (@list @t266)) % 44.87/45.04 (define @t269 () (not @t195)) % 44.87/45.04 (define @t270 () (tptp.sdtmndt0 tptp.xp tptp.xp)) % 44.87/45.04 (define @t271 () (tptp.sdtpldt0 tptp.xp tptp.sz00)) % 44.87/45.04 (define @t272 () (= tptp.xp @t271)) % 44.87/45.04 (define @t273 () (and @t4 @t272)) % 44.87/45.04 (define @t274 () (= @t273 (= @t270 tptp.sz00))) % 44.87/45.04 (define @t275 () (tptp.sdtlseqdt0 tptp.xp tptp.xp)) % 44.87/45.04 (define @t276 () (not @t275)) % 44.87/45.04 (define @t277 () (or @t192 @t192 @t276 @t274)) % 44.87/45.04 (define @t278 () (@list tptp.xp tptp.xp tptp.sz00)) % 44.87/45.04 (define @t279 () (= tptp.sz00 @t270)) % 44.87/45.04 (define @t280 () (= @t273 @t279)) % 44.87/45.04 (define @t281 () (or @t192 @t192 @t276 @t280)) % 44.87/45.04 (define @t282 () (@list tptp.xp)) % 44.87/45.04 (define @t283 () (or @t192 @t275)) % 44.87/45.04 (define @t284 () (tptp.sdtpldt0 tptp.sz00 tptp.xp)) % 44.87/45.04 (define @t285 () (= tptp.xp @t284)) % 44.87/45.04 (define @t286 () (and @t272 @t285)) % 44.87/45.04 (define @t287 () (or @t192 @t286)) % 44.87/45.04 (define @t288 () (not @t286)) % 44.87/45.04 (define @t289 () (@list @t286)) % 44.87/45.04 (define @t290 () (not @t272)) % 44.87/45.04 (define @t291 () (tptp.sdtpldt0 tptp.xp tptp.xp)) % 44.87/45.04 (define @t292 () (= tptp.xp @t291)) % 44.87/45.04 (define @t293 () (and @t108 @t292)) % 44.87/45.04 (define @t294 () (= @t293 (= @t270 tptp.xp))) % 44.87/45.04 (define @t295 () (or @t192 @t192 @t276 @t294)) % 44.87/45.04 (define @t296 () (= tptp.xp @t270)) % 44.87/45.04 (define @t297 () (= @t293 @t296)) % 44.87/45.04 (define @t298 () (or @t192 @t192 @t276 @t297)) % 44.87/45.04 (define @t299 () (and (not @t36) (not @t34))) % 44.87/45.04 (define @t300 () (or @t140 @t153 @t165 @t299 @t32)) % 44.87/45.04 (define @t301 () (= @t291 @t271)) % 44.87/45.04 (define @t302 () (not @t301)) % 44.87/45.04 (define @t303 () (and @t302 (not (= @t291 @t284)))) % 44.87/45.04 (define @t304 () (= tptp.xp tptp.sz00)) % 44.87/45.04 (define @t305 () (or @t192 @t192 @t138 @t303 @t304)) % 44.87/45.04 (define @t306 () (forall @t22 @t300)) % 44.87/45.04 (define @t307 () (= tptp.sz00 tptp.xp)) % 44.87/45.04 (define @t308 () (or @t192 @t192 @t138 @t303 @t307)) % 44.87/45.04 (define @t309 () (@list @t306)) % 44.87/45.04 (define @t310 () (= tptp.sz10 @t5)) % 44.87/45.04 (define @t311 () (not @t97)) % 44.87/45.04 (define @t312 () (or @t153 @t311 @t310 @t61)) % 44.87/45.04 (define @t313 () (= @t104 (and @t44 @t102 (forall @t100 @t312)))) % 44.87/45.04 (define @t314 () (or @t310 @t61)) % 44.87/45.04 (define @t315 () (not (tptp.doDivides0 @t5 tptp.xp))) % 44.87/45.04 (define @t316 () (or @t153 @t315 @t310 (= tptp.xp @t5))) % 44.87/45.04 (define @t317 () (forall @t100 @t316)) % 44.87/45.04 (define @t318 () (not (= tptp.xp tptp.sz10))) % 44.87/45.04 (define @t319 () (not @t304)) % 44.87/45.04 (define @t320 () (and @t319 @t318 @t317)) % 44.87/45.04 (define @t321 () (= @t123 @t320)) % 44.87/45.04 (define @t322 () (or @t192 @t321)) % 44.87/45.04 (define @t323 () (forall @t3 (or @t140 @t313))) % 44.87/45.04 (define @t324 () (not @t307)) % 44.87/45.04 (define @t325 () (and @t324 (not (= tptp.sz10 tptp.xp)) (forall @t100 (or @t153 @t315 @t310 (= @t5 tptp.xp))))) % 44.87/45.04 (define @t326 () (= @t123 @t325)) % 44.87/45.04 (define @t327 () (or @t192 @t326)) % 44.87/45.04 (define @t328 () (not @t123)) % 44.87/45.04 (define @t329 () (@list false false true false)) % 44.87/45.04 (define @t330 () (not @t292)) % 44.87/45.04 (define @t331 () (not @t293)) % 44.87/45.04 (define @t332 () (not @t296)) % 44.87/45.04 (define @t333 () (not @t189)) % 44.87/45.04 (define @t334 () (not @t279)) % 44.87/45.04 (define @t335 () (not @t136)) % 44.87/45.04 (define @t336 () (and @t136 @t332 @t279)) % 44.87/45.04 (define @t337 () (and @t81 @t62)) % 44.87/45.04 (define @t338 () (or @t49 @t337)) % 44.87/45.04 (define @t339 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 44.87/45.04 (define @t340 () (tptp.sdtpldt0 tptp.xp @t339)) % 44.87/45.04 (define @t341 () (tptp.sdtpldt0 tptp.sz00 @t339)) % 44.87/45.04 (define @t342 () (tptp.sdtlseqdt0 @t341 @t340)) % 44.87/45.04 (define @t343 () (not (= @t340 @t341))) % 44.87/45.04 (define @t344 () (tptp.sdtpldt0 @t339 tptp.xp)) % 44.87/45.04 (define @t345 () (tptp.sdtpldt0 @t339 tptp.sz00)) % 44.87/45.04 (define @t346 () (tptp.sdtlseqdt0 @t345 @t344)) % 44.87/45.04 (define @t347 () (not (= @t345 @t344))) % 44.87/45.04 (define @t348 () (and @t347 @t346 @t343 @t342)) % 44.87/45.04 (define @t349 () (tptp.aNaturalNumber0 @t339)) % 44.87/45.04 (define @t350 () (not @t349)) % 44.87/45.04 (define @t351 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xp)) % 44.87/45.04 (define @t352 () (not @t351)) % 44.87/45.04 (define @t353 () (or @t138 @t192 @t307 @t352 @t350 @t348)) % 44.87/45.04 (define @t354 () (and (not (= @t344 @t345)) @t346 (not (= @t341 @t340)) @t342)) % 44.87/45.04 (define @t355 () (or @t138 @t192 @t307 @t352 @t350 @t354)) % 44.87/45.04 (define @t356 () (or @t140 @t153 @t61 @t152 @t87)) % 44.87/45.04 (define @t357 () (or @t61 @t152 @t87)) % 44.87/45.04 (define @t358 () (tptp.sdtpldt0 @t125 tptp.xm)) % 44.87/45.04 (define @t359 () (tptp.sdtpldt0 @t358 tptp.xp)) % 44.87/45.04 (define @t360 () (tptp.iLess0 @t359 @t115)) % 44.87/45.04 (define @t361 () (not (tptp.sdtlseqdt0 @t359 @t115))) % 44.87/45.04 (define @t362 () (tptp.aNaturalNumber0 @t115)) % 44.87/45.04 (define @t363 () (not @t362)) % 44.87/45.04 (define @t364 () (tptp.aNaturalNumber0 @t359)) % 44.87/45.04 (define @t365 () (not @t364)) % 44.87/45.04 (define @t366 () (or @t365 @t363 (= @t359 @t115) @t361 @t360)) % 44.87/45.04 (define @t367 () (forall @t10 @t356)) % 44.87/45.04 (define @t368 () (= @t115 @t359)) % 44.87/45.04 (define @t369 () (or @t365 @t363 @t368 @t361 @t360)) % 44.87/45.04 (define @t370 () (not (= (tptp.sdtpldt0 @t359 tptp.xp) (tptp.sdtpldt0 @t359 tptp.sz00)))) % 44.87/45.04 (define @t371 () (and @t370 (not (= (tptp.sdtpldt0 tptp.xp @t359) (tptp.sdtpldt0 tptp.sz00 @t359))))) % 44.87/45.04 (define @t372 () (or @t365 @t192 @t138 @t371 @t304)) % 44.87/45.04 (define @t373 () (or @t365 @t192 @t138 @t371 @t307)) % 44.87/45.04 (define @t374 () (tptp.aNaturalNumber0 @t358)) % 44.87/45.04 (define @t375 () (not @t109)) % 44.87/45.04 (define @t376 () (or @t206 @t375 @t374)) % 44.87/45.04 (define @t377 () (not @t374)) % 44.87/45.04 (define @t378 () (or @t377 @t192 @t364)) % 44.87/45.04 (define @t379 () (@list @t125 tptp.xm tptp.xp)) % 44.87/45.04 (define @t380 () (tptp.sdtpldt0 tptp.xm tptp.xp)) % 44.87/45.04 (define @t381 () (= @t359 (tptp.sdtpldt0 @t125 @t380))) % 44.87/45.04 (define @t382 () (or @t206 @t375 @t192 @t381)) % 44.87/45.04 (define @t383 () (= @t380 (tptp.sdtpldt0 tptp.xp tptp.xm))) % 44.87/45.04 (define @t384 () (or @t375 @t192 @t383)) % 44.87/45.04 (define @t385 () (forall @t47 (or @t165 (not (= tptp.xn (tptp.sdtpldt0 @t125 @t16)))))) % 44.87/45.04 (define @t386 () (@quantifiers_skolemize @t385 0)) % 44.87/45.04 (define @t387 () (= tptp.xp @t386)) % 44.87/45.04 (define @t388 () (not (= @t228 (tptp.sdtpldt0 @t386 @t125)))) % 44.87/45.04 (define @t389 () (tptp.sdtpldt0 @t125 tptp.xp)) % 44.87/45.04 (define @t390 () (tptp.sdtpldt0 @t125 @t386)) % 44.87/45.04 (define @t391 () (not (= @t389 @t390))) % 44.87/45.04 (define @t392 () (and @t391 @t388)) % 44.87/45.04 (define @t393 () (tptp.aNaturalNumber0 @t386)) % 44.87/45.04 (define @t394 () (not @t393)) % 44.87/45.04 (define @t395 () (or @t206 @t192 @t394 @t392 @t387)) % 44.87/45.04 (define @t396 () (= @t390 @t389)) % 44.87/45.04 (define @t397 () (not @t396)) % 44.87/45.04 (define @t398 () (and @t397 @t388)) % 44.87/45.04 (define @t399 () (or @t206 @t192 @t394 @t398 @t387)) % 44.87/45.04 (define @t400 () (= @t228 @t389)) % 44.87/45.04 (define @t401 () (or @t192 @t206 @t400)) % 44.87/45.04 (define @t402 () (not @t385)) % 44.87/45.04 (define @t403 () (= @t202 @t402)) % 44.87/45.04 (define @t404 () (or @t206 @t204 @t403)) % 44.87/45.04 (define @t405 () (= tptp.xn @t390)) % 44.87/45.04 (define @t406 () (not @t405)) % 44.87/45.04 (define @t407 () (or @t394 @t406)) % 44.87/45.04 (define @t408 () (@list @t407)) % 44.87/45.04 (define @t409 () (not @t398)) % 44.87/45.04 (define @t410 () (tptp.sdtpldt0 @t386 tptp.xm)) % 44.87/45.04 (define @t411 () (tptp.sdtpldt0 @t125 @t410)) % 44.87/45.04 (define @t412 () (= (tptp.sdtpldt0 @t390 tptp.xm) @t411)) % 44.87/45.04 (define @t413 () (or @t206 @t394 @t375 @t412)) % 44.87/45.04 (define @t414 () (tptp.sdtpldt0 @t114 tptp.sz00)) % 44.87/45.04 (define @t415 () (tptp.sdtpldt0 tptp.xm tptp.sz00)) % 44.87/45.04 (define @t416 () (= @t414 (tptp.sdtpldt0 tptp.xn @t415))) % 44.87/45.04 (define @t417 () (or @t204 @t375 @t138 @t416)) % 44.87/45.04 (define @t418 () (tptp.sdtpldt0 tptp.sz00 tptp.xm)) % 44.87/45.04 (define @t419 () (= tptp.xm @t418)) % 44.87/45.04 (define @t420 () (= tptp.xm @t415)) % 44.87/45.04 (define @t421 () (and @t420 @t419)) % 44.87/45.04 (define @t422 () (or @t375 @t421)) % 44.87/45.04 (define @t423 () (not @t421)) % 44.87/45.04 (define @t424 () (@list @t421)) % 44.87/45.04 (define @t425 () (@list @t114 tptp.xp)) % 44.87/45.04 (define @t426 () (@list tptp.xn tptp.xm)) % 44.87/45.04 (define @t427 () (tptp.aNaturalNumber0 @t114)) % 44.87/45.04 (define @t428 () (or @t204 @t375 @t427)) % 44.87/45.04 (define @t429 () (not @t427)) % 44.87/45.04 (define @t430 () (or @t429 @t192 @t362)) % 44.87/45.04 (define @t431 () (not @t116)) % 44.87/45.04 (define @t432 () (not @t118)) % 44.87/45.04 (define @t433 () (not @t119)) % 44.87/45.04 (define @t434 () (or @t433 @t432 @t431 @t112 @t111)) % 44.87/45.04 (define @t435 () (or @t431 @t112 @t111)) % 44.87/45.04 (define @t436 () (tptp.doDivides0 tptp.xp @t125)) % 44.87/45.04 (define @t437 () (not @t360)) % 44.87/45.04 (define @t438 () (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 @t125 tptp.xm))) % 44.87/45.04 (define @t439 () (not @t438)) % 44.87/45.04 (define @t440 () (or @t206 @t375 @t192 @t328 @t439 @t437 @t436 @t130)) % 44.87/45.04 (define @t441 () (= @t115 (tptp.sdtpldt0 tptp.xp @t114))) % 44.87/45.04 (define @t442 () (or @t429 @t192 @t441)) % 44.87/45.04 (define @t443 () (= @t114 @t339)) % 44.87/45.04 (define @t444 () (or @t204 @t375 @t443)) % 44.87/45.04 (define @t445 () (tptp.sdtpldt0 @t418 tptp.xn)) % 44.87/45.04 (define @t446 () (= @t445 @t341)) % 44.87/45.04 (define @t447 () (or @t138 @t375 @t204 @t446)) % 44.87/45.04 (define @t448 () (not @t354)) % 44.87/45.04 (define @t449 () (or @t375 @t204 @t349)) % 44.87/45.04 (define @t450 () (tptp.sdtlseqdt0 tptp.xp tptp.sz00)) % 44.87/45.04 (define @t451 () (and @t324 @t450)) % 44.87/45.04 (define @t452 () (or @t138 @t192 @t351 @t451)) % 44.87/45.04 (define @t453 () (not @t450)) % 44.87/45.04 (define @t454 () (and @t136 @t188)) % 44.87/45.04 (assume @p1 (forall @t3 (=> @t2 true))) % 44.87/45.04 (assume @p2 @t4) % 44.87/45.04 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 44.87/45.04 (assume @p4 @t11) % 44.87/45.04 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t12)))) % 44.87/45.04 (assume @p6 @t15) % 44.87/45.04 (assume @p7 @t23) % 44.87/45.04 (assume @p8 @t28) % 44.87/45.04 (assume @p9 (forall @t10 (=> @t9 (= @t12 @t29)))) % 44.87/45.04 (assume @p10 (forall @t22 (=> @t21 (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))))) % 44.87/45.04 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 44.87/45.04 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 44.87/45.04 (assume @p13 (forall @t22 (=> @t21 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t31)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t29 @t30)))))) % 44.87/45.04 (assume @p14 @t39) % 44.87/45.04 (assume @p15 (forall @t3 (=> @t2 (=> @t44 (forall (@list @t5 @t16) (=> @t42 (=> (or @t41 @t40) @t32))))))) % 44.87/45.04 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t43 @t45))))) % 44.87/45.04 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t43 @t45))))) % 44.87/45.04 (assume @p18 @t52) % 44.87/45.04 (assume @p19 @t58) % 44.87/45.04 (assume @p20 @t60) % 44.87/45.04 (assume @p21 @t65) % 44.87/45.04 (assume @p22 (forall @t22 (=> @t21 (=> (and @t49 @t66) (tptp.sdtlseqdt0 @t1 @t16))))) % 44.87/45.04 (assume @p23 @t72) % 44.87/45.04 (assume @p24 @t85) % 44.87/45.04 (assume @p25 (forall @t22 (=> @t21 (=> (and @t44 (not @t32) @t66) (and (not @t41) (tptp.sdtlseqdt0 @t12 @t31) (not @t40) (tptp.sdtlseqdt0 @t29 @t30)))))) % 44.87/45.04 (assume @p26 (forall @t3 (=> @t2 (or @t43 @t86 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 44.87/45.04 (assume @p27 (forall @t10 (=> @t9 (=> @t44 (tptp.sdtlseqdt0 @t5 @t29))))) % 44.87/45.04 (assume @p28 (forall @t10 (=> @t9 (=> @t87 true)))) % 44.87/45.04 (assume @p29 @t89) % 44.87/45.04 (assume @p30 (forall @t10 (=> @t9 (= @t91 (exists @t47 @t90))))) % 44.87/45.04 (assume @p31 (forall @t10 (=> @t9 (=> @t93 (forall @t47 (= (= @t16 @t92) @t90)))))) % 44.87/45.04 (assume @p32 (forall @t22 (=> @t21 (=> (and @t91 (tptp.doDivides0 @t5 @t16)) @t94)))) % 44.87/45.04 (assume @p33 (forall @t22 (=> @t21 (=> (and @t91 @t94) @t95)))) % 44.87/45.04 (assume @p34 (forall @t22 (=> @t21 (=> (and @t91 @t95) @t94)))) % 44.87/45.04 (assume @p35 (forall @t10 (=> @t9 (=> (and @t91 (not @t45)) @t49)))) % 44.87/45.04 (assume @p36 (forall @t10 (=> @t9 (=> @t93 (forall @t47 (=> @t20 (= (tptp.sdtasdt0 @t16 @t92) (tptp.sdtsldt0 (tptp.sdtasdt0 @t16 @t5) @t1)))))))) % 44.87/45.04 (assume @p37 @t107) % 44.87/45.04 (assume @p38 (forall @t3 (=> (and @t2 @t44 @t102) (exists @t100 (and @t8 @t97 (tptp.isPrime0 @t5)))))) % 44.87/45.04 (assume @p39 (and @t110 @t109 @t108)) % 44.87/45.04 (assume @p40 @t122) % 44.87/45.04 (assume @p41 (and @t123 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xn tptp.xm)))) % 44.87/45.04 (assume @p42 @t124) % 44.87/45.04 (assume @p43 (= tptp.xr @t125)) % 44.87/45.04 (assume @p44 (and @t127 @t126)) % 44.87/45.04 (assume @p45 @t129) % 44.87/45.04 (assume @p46 @t133) % 44.87/45.04 (assume @p47 true) % 44.87/45.04 (step @p48 :rule bool-impl-elim :args (@t2 @t134)) % 44.87/45.04 (step @p49 :rule cong :premises (@p48) :args ((forall @t3 (=> @t2 @t134)))) % 44.87/45.04 (step @p50 :rule refl :args (@t24)) % 44.87/45.04 (step @p51 :rule eq-symm :args (@t25 @t1)) % 44.87/45.04 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t26)) % 44.87/45.04 (step @p53 :rule refl :args (@t2)) % 44.87/45.04 (step @p54 :rule cong :premises (@p53 @p52) :args (@t27)) % 44.87/45.04 (step @p55 :rule cong :premises (@p54) :args (@t28)) % 44.87/45.04 (step @p56 :rule trans :premises (@p55 @p49)) % 44.87/45.04 (step @p57 :rule eq_resolve :premises (@p8 @p56)) % 44.87/45.04 (step @p58 :rule aci_norm :args ((= @t137 @t136))) % 44.87/45.04 (step @p59 :rule refl :args (@t138)) % 44.87/45.04 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t139)) % 44.87/45.04 (step @p61 :rule refl :args (@t141)) % 44.87/45.04 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t141 @t139))) % 44.87/45.04 (assume-push @p882 @t141) % 44.87/45.04 (step @p64 :rule instantiate :premises (@p57) :args ((@list tptp.sz00))) % 44.87/45.04 (step-pop @p883 :rule scope :premises (@p64)) % 44.87/45.04 (step @p65 :rule process_scope :premises (@p883) :args (@t139)) % 44.87/45.04 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 44.87/45.04 (step @p68 :rule implies_elim :premises (@p67)) % 44.87/45.04 (step @p69 :rule chain_m_resolution :premises (@p68 @p57) :args (@t142 @t143 (@list @t141))) % 44.87/45.04 (step @p70 :rule cnf_or_pos :args (@t142)) % 44.87/45.04 (step @p71 :rule reordering :premises (@p70) :args ((or @t138 @t136 (not @t142)))) % 44.87/45.04 (step @p72 :rule chain_m_resolution :premises (@p71 @p2 @p69) :args (@t136 @t144 (@list @t4 @t142))) % 44.87/45.04 (step @p73 :rule aci_norm :args ((= @t156 @t154))) % 44.87/45.04 (step @p74 :rule cong :premises (@p73) :args (@t158)) % 44.87/45.04 (step @p75 :rule quant-merge-prenex :args ((= (forall @t10 @t160) @t158))) % 44.87/45.04 (step @p76 :rule alpha_equiv :args (@t161 (@list @t145) @t162)) % 44.87/45.04 (step @p77 :rule refl :args (@t152)) % 44.87/45.04 (step @p78 :rule refl :args (@t61)) % 44.87/45.04 (step @p79 :rule refl :args (@t153)) % 44.87/45.04 (step @p80 :rule refl :args (@t140)) % 44.87/45.04 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t163)) % 44.87/45.04 (step @p82 :rule quant-miniscope-or :args ((= @t160 @t163))) % 44.87/45.04 (step @p83 :rule trans :premises (@p82 @p81)) % 44.87/45.04 (step @p84 :rule symm :premises (@p83)) % 44.87/45.04 (step @p85 :rule cong :premises (@p84) :args ((forall @t10 @t167))) % 44.87/45.04 (step @p86 :rule trans :premises (@p85 @p75)) % 44.87/45.04 (step @p87 :rule trans :premises (@p86 @p74)) % 44.87/45.04 (step @p88 :rule aci_norm :args ((= (or @t169 @t168) @t167))) % 44.87/45.04 (step @p89 :rule aci_norm :args ((= (or @t170 @t166) @t168))) % 44.87/45.04 (step @p90 :rule refl :args (@t166)) % 44.87/45.04 (step @p91 :rule bool-double-not-elim :args (@t61)) % 44.87/45.04 (step @p92 :rule nary_cong :premises (@p91 @p77) :args ((or (not @t81) @t152))) % 44.87/45.04 (step @p93 :rule bool-and-de-morgan :args (@t81 @t49 true)) % 44.87/45.04 (step @p94 :rule trans :premises (@p93 @p92)) % 44.87/45.04 (step @p95 :rule nary_cong :premises (@p94 @p90) :args ((or @t171 @t166))) % 44.87/45.04 (step @p96 :rule trans :premises (@p95 @p89)) % 44.87/45.04 (step @p97 :rule bool-impl-elim :args (@t82 @t166)) % 44.87/45.04 (step @p98 :rule trans :premises (@p97 @p96)) % 44.87/45.04 (step @p99 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 44.87/45.04 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t173 @t172))) % 44.87/45.04 (step @p101 :rule trans :premises (@p100 @p88)) % 44.87/45.04 (step @p102 :rule bool-impl-elim :args (@t9 @t172)) % 44.87/45.04 (step @p103 :rule trans :premises (@p102 @p101)) % 44.87/45.04 (step @p104 :rule cong :premises (@p103) :args ((forall @t10 (=> @t9 @t172)))) % 44.87/45.04 (step @p105 :rule trans :premises (@p104 @p87)) % 44.87/45.04 (step @p106 :rule bool-impl-elim :args (@t20 @t164)) % 44.87/45.04 (step @p107 :rule cong :premises (@p106) :args ((forall @t47 (=> @t20 @t164)))) % 44.87/45.04 (step @p108 :rule refl :args (@t73)) % 44.87/45.04 (step @p109 :rule eq-symm :args (@t35 @t17)) % 44.87/45.04 (step @p110 :rule cong :premises (@p109) :args (@t74)) % 44.87/45.04 (step @p111 :rule refl :args (@t76)) % 44.87/45.04 (step @p112 :rule refl :args (@t77)) % 44.87/45.04 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p108) :args (@t78)) % 44.87/45.04 (step @p114 :rule refl :args (@t20)) % 44.87/45.04 (step @p115 :rule cong :premises (@p114 @p113) :args (@t79)) % 44.87/45.04 (step @p116 :rule cong :premises (@p115) :args (@t80)) % 44.87/45.04 (step @p117 :rule trans :premises (@p116 @p107)) % 44.87/45.04 (step @p118 :rule refl :args (@t82)) % 44.87/45.04 (step @p119 :rule cong :premises (@p118 @p117) :args (@t83)) % 44.87/45.04 (step @p120 :rule refl :args (@t9)) % 44.87/45.04 (step @p121 :rule cong :premises (@p120 @p119) :args (@t84)) % 44.87/45.04 (step @p122 :rule cong :premises (@p121) :args (@t85)) % 44.87/45.04 (step @p123 :rule trans :premises (@p122 @p105)) % 44.87/45.04 (step @p124 :rule eq_resolve :premises (@p24 @p123)) % 44.87/45.04 (step @p125 :rule refl :args (@t178)) % 44.87/45.04 (step @p126 :rule eq-symm :args (@t176 @t177)) % 44.87/45.04 (step @p127 :rule cong :premises (@p126) :args (@t179)) % 44.87/45.04 (step @p128 :rule refl :args (@t182)) % 44.87/45.04 (step @p129 :rule refl :args (@t183)) % 44.87/45.04 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p125) :args (@t184)) % 44.87/45.04 (step @p131 :rule refl :args (@t186)) % 44.87/45.04 (step @p132 :rule refl :args (@t188)) % 44.87/45.04 (step @p133 :rule refl :args (@t189)) % 44.87/45.04 (step @p134 :rule refl :args (@t191)) % 44.87/45.04 (step @p135 :rule refl :args (@t192)) % 44.87/45.04 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131 @p130) :args (@t193)) % 44.87/45.04 (step @p137 :rule refl :args (@t194)) % 44.87/45.04 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t194 @t193))) % 44.87/45.04 (assume-push @p884 @t194) % 44.87/45.04 (step @p140 :rule instantiate :premises (@p124) :args ((@list tptp.xp @t135 @t175))) % 44.87/45.04 (step-pop @p885 :rule scope :premises (@p140)) % 44.87/45.04 (step @p141 :rule process_scope :premises (@p885) :args (@t193)) % 44.87/45.04 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 44.87/45.04 (step @p144 :rule implies_elim :premises (@p143)) % 44.87/45.04 (step @p145 :rule chain_m_resolution :premises (@p144 @p124) :args (@t196 @t143 @t197)) % 44.87/45.04 (step @p146 :rule aci_norm :args ((= (or @t169 @t200) @t199))) % 44.87/45.04 (step @p147 :rule aci_norm :args ((= (or (or @t152 @t198) @t61) @t200))) % 44.87/45.04 (step @p148 :rule bool-and-de-morgan :args (@t49 @t62 true)) % 44.87/45.04 (step @p149 :rule nary_cong :premises (@p148 @p78) :args ((or (not @t63) @t61))) % 44.87/45.04 (step @p150 :rule trans :premises (@p149 @p147)) % 44.87/45.04 (step @p151 :rule bool-impl-elim :args (@t63 @t61)) % 44.87/45.04 (step @p152 :rule trans :premises (@p151 @p150)) % 44.87/45.04 (step @p153 :rule nary_cong :premises (@p99 @p152) :args ((or @t173 @t64))) % 44.87/45.04 (step @p154 :rule trans :premises (@p153 @p146)) % 44.87/45.04 (step @p155 :rule bool-impl-elim :args (@t9 @t64)) % 44.87/45.04 (step @p156 :rule trans :premises (@p155 @p154)) % 44.87/45.04 (step @p157 :rule cong :premises (@p156) :args (@t65)) % 44.87/45.04 (step @p158 :rule eq_resolve :premises (@p21 @p157)) % 44.87/45.04 (step @p159 :rule eq-symm :args (@t125 tptp.xn)) % 44.87/45.04 (step @p160 :rule refl :args (@t201)) % 44.87/45.04 (step @p161 :rule refl :args (@t203)) % 44.87/45.04 (step @p162 :rule refl :args (@t204)) % 44.87/45.04 (step @p163 :rule refl :args (@t206)) % 44.87/45.04 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161 @p160 @p159) :args (@t207)) % 44.87/45.04 (step @p165 :rule refl :args (@t208)) % 44.87/45.04 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t208 @t207))) % 44.87/45.04 (assume-push @p886 @t208) % 44.87/45.04 (step @p168 :rule instantiate :premises (@p158) :args (@t209)) % 44.87/45.04 (step-pop @p887 :rule scope :premises (@p168)) % 44.87/45.04 (step @p169 :rule process_scope :premises (@p887) :args (@t207)) % 44.87/45.04 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 44.87/45.04 (step @p172 :rule implies_elim :premises (@p171)) % 44.87/45.04 (step @p173 :rule chain_m_resolution :premises (@p172 @p158) :args (@t211 @t143 (@list @t208))) % 44.87/45.04 (step @p174 :rule eq-symm :args (@t213 @t214)) % 44.87/45.04 (step @p175 :rule refl :args (@t214)) % 44.87/45.04 (step @p176 :rule eq-symm :args (@t212 @t53)) % 44.87/45.04 (step @p177 :rule cong :premises (@p176 @p175) :args (@t215)) % 44.87/45.04 (step @p178 :rule trans :premises (@p177 @p174)) % 44.87/45.04 (step @p179 :rule refl :args (@t152)) % 44.87/45.04 (step @p180 :rule refl :args (@t153)) % 44.87/45.04 (step @p181 :rule refl :args (@t140)) % 44.87/45.04 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p178) :args (@t216)) % 44.87/45.04 (step @p183 :rule cong :premises (@p182) :args (@t218)) % 44.87/45.04 (step @p184 :rule quant-merge-prenex :args ((= (forall @t10 @t220) @t218))) % 44.87/45.04 (step @p185 :rule alpha_equiv :args (@t221 (@list @t212) @t162)) % 44.87/45.04 (step @p186 :rule nary_cong :premises (@p80 @p79 @p77 @p185) :args (@t222)) % 44.87/45.04 (step @p187 :rule quant-miniscope-or :args ((= @t220 @t222))) % 44.87/45.04 (step @p188 :rule trans :premises (@p187 @p186)) % 44.87/45.04 (step @p189 :rule symm :premises (@p188)) % 44.87/45.04 (step @p190 :rule cong :premises (@p189) :args ((forall @t10 @t226))) % 44.87/45.04 (step @p191 :rule trans :premises (@p190 @p184)) % 44.87/45.04 (step @p192 :rule trans :premises (@p191 @p183)) % 44.87/45.04 (step @p193 :rule aci_norm :args ((= (or @t169 (or @t152 @t225)) @t226))) % 44.87/45.04 (step @p194 :rule bool-impl-elim :args (@t49 @t225)) % 44.87/45.04 (step @p195 :rule nary_cong :premises (@p99 @p194) :args ((or @t173 @t227))) % 44.87/45.04 (step @p196 :rule trans :premises (@p195 @p193)) % 44.87/45.04 (step @p197 :rule bool-impl-elim :args (@t9 @t227)) % 44.87/45.04 (step @p198 :rule trans :premises (@p197 @p196)) % 44.87/45.04 (step @p199 :rule cong :premises (@p198) :args ((forall @t10 (=> @t9 @t227)))) % 44.87/45.04 (step @p200 :rule trans :premises (@p199 @p192)) % 44.87/45.04 (step @p201 :rule eq-symm :args (@t224 @t54)) % 44.87/45.04 (step @p202 :rule refl :args (@t54)) % 44.87/45.04 (step @p203 :rule eq-symm :args (@t35 @t5)) % 44.87/45.04 (step @p204 :rule nary_cong :premises (@p114 @p203) :args (@t46)) % 44.87/45.04 (step @p205 :rule cong :premises (@p204 @p202) :args ((= @t46 @t54))) % 44.87/45.04 (step @p206 :rule trans :premises (@p205 @p201)) % 44.87/45.04 (step @p207 :rule eq-symm :args (@t54 @t46)) % 44.87/45.04 (step @p208 :rule trans :premises (@p207 @p206)) % 44.87/45.04 (step @p209 :rule cong :premises (@p208) :args (@t55)) % 44.87/45.04 (step @p210 :rule refl :args (@t49)) % 44.87/45.04 (step @p211 :rule cong :premises (@p210 @p209) :args (@t56)) % 44.87/45.04 (step @p212 :rule cong :premises (@p120 @p211) :args (@t57)) % 44.87/45.04 (step @p213 :rule cong :premises (@p212) :args (@t58)) % 44.87/45.04 (step @p214 :rule trans :premises (@p213 @p200)) % 44.87/45.04 (step @p215 :rule eq_resolve :premises (@p19 @p214)) % 44.87/45.04 (step @p216 :rule bool-eq-true :args (@t230)) % 44.87/45.04 (step @p217 :rule eq-symm :args (true @t230)) % 44.87/45.04 (step @p218 :rule trans :premises (@p217 @p216)) % 44.87/45.04 (step @p219 :rule refl :args (@t230)) % 44.87/45.04 (step @p220 :rule eq-refl :args (@t125)) % 44.87/45.04 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t231 @t230))) % 44.87/45.04 (step @p222 :rule trans :premises (@p221 @p218)) % 44.87/45.04 (step @p223 :rule eq-symm :args (@t230 @t231)) % 44.87/45.04 (step @p224 :rule trans :premises (@p223 @p222)) % 44.87/45.04 (step @p225 :rule refl :args (@t232)) % 44.87/45.04 (step @p226 :rule nary_cong :premises (@p135 @p162 @p225 @p224) :args (@t233)) % 44.87/45.04 (step @p227 :rule refl :args (@t234)) % 44.87/45.04 (step @p228 :rule cong :premises (@p227 @p226) :args ((=> @t234 @t233))) % 44.87/45.04 (assume-push @p888 @t234) % 44.87/45.04 (step @p230 :rule instantiate :premises (@p215) :args ((@list tptp.xp tptp.xn @t125))) % 44.87/45.04 (step-pop @p889 :rule scope :premises (@p230)) % 44.87/45.04 (step @p231 :rule process_scope :premises (@p889) :args (@t233)) % 44.87/45.04 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 44.87/45.04 (step @p234 :rule implies_elim :premises (@p233)) % 44.87/45.04 (step @p235 :rule chain_m_resolution :premises (@p234 @p215) :args (@t235 @t143 @t236)) % 44.87/45.04 (step @p236 :rule and_elim :premises (@p39) :args (2)) % 44.87/45.04 (step @p237 :rule and_elim :premises (@p39) :args (0)) % 44.87/45.04 (step @p238 :rule cnf_or_pos :args (@t235)) % 44.87/45.04 (step @p239 :rule reordering :premises (@p238) :args ((or @t204 @t192 @t232 @t230 (not @t235)))) % 44.87/45.04 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p236 @p42 @p235) :args (@t230 @t237 (@list @t110 @t108 @t124 @t235))) % 44.87/45.04 (step @p241 :rule cnf_and_pos :args (@t230 0)) % 44.87/45.04 (step @p242 :rule reordering :premises (@p241) :args ((or @t205 @t238))) % 44.87/45.04 (step @p243 :rule chain_m_resolution :premises (@p242 @p240) :args (@t205 @t143 @t239)) % 44.87/45.04 (step @p244 :rule refl :args (tptp.xn)) % 44.87/45.04 (step @p245 :rule cong :premises (@p43 @p244) :args (@t126)) % 44.87/45.04 (step @p246 :rule and_elim :premises (@p44) :args (1)) % 44.87/45.04 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 44.87/45.04 (step @p248 :rule cong :premises (@p244 @p43) :args (@t240)) % 44.87/45.04 (step @p249 :rule cong :premises (@p248) :args ((not @t240))) % 44.87/45.04 (step @p250 :rule eq-symm :args (tptp.xr tptp.xn)) % 44.87/45.04 (step @p251 :rule cong :premises (@p250) :args (@t127)) % 44.87/45.04 (step @p252 :rule trans :premises (@p251 @p249)) % 44.87/45.04 (step @p253 :rule and_elim :premises (@p44) :args (0)) % 44.87/45.04 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 44.87/45.04 (step @p255 :rule cnf_or_pos :args (@t211)) % 44.87/45.04 (step @p256 :rule reordering :premises (@p255) :args ((or @t210 @t204 @t203 @t206 @t201 (not @t211)))) % 44.87/45.04 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p237 @p247 @p243 @p173) :args (@t201 (@list true false false false false) (@list @t210 @t110 @t202 @t205 @t211))) % 44.87/45.04 (step @p258 :rule false_intro :premises (@p257)) % 44.87/45.04 (step @p259 :rule instantiate :premises (@p57) :args ((@list @t125))) % 44.87/45.04 (step @p260 :rule cnf_or_pos :args (@t245)) % 44.87/45.04 (step @p261 :rule reordering :premises (@p260) :args ((or @t206 @t244 (not @t245)))) % 44.87/45.04 (step @p262 :rule chain_m_resolution :premises (@p261 @p243 @p259) :args (@t244 @t144 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44.87/45.04 (step @p709 :rule reordering :premises (@p708) :args ((or @t203 @t402 (not @t403)))) % 44.87/45.04 (step @p710 :rule chain_m_resolution :premises (@p709 @p247 @p707) :args (@t402 @t144 (@list @t202 @t403))) % 44.87/45.04 (step @p711 :rule skolemize :premises (@p710)) % 44.87/45.04 (step @p712 :rule bool-double-not-elim :args (@t405)) % 44.87/45.04 (step @p713 :rule refl :args (@t407)) % 44.87/45.04 (step @p714 :rule nary_cong :premises (@p713 @p712) :args ((or @t407 (not @t406)))) % 44.87/45.04 (step @p715 :rule cnf_or_neg :args (@t407 1)) % 44.87/45.04 (step @p716 :rule eq_resolve :premises (@p715 @p714)) % 44.87/45.04 (step @p717 :rule reordering :premises (@p716) :args ((or @t405 @t407))) % 44.87/45.04 (step @p718 :rule chain_m_resolution :premises (@p717 @p711) :args (@t405 @t267 @t408)) % 44.87/45.04 (step @p719 :rule symm :premises (@p718)) % 44.87/45.04 (step @p720 :rule trans :premises (@p719 @p703 @p700)) % 44.87/45.04 (step @p721 :rule cnf_and_pos :args (@t398 0)) % 44.87/45.04 (step @p722 :rule reordering :premises (@p721) :args ((or @t397 @t409))) % 44.87/45.04 (step @p723 :rule chain_m_resolution :premises (@p722 @p720) :args (@t409 @t143 (@list @t396))) % 44.87/45.04 (step @p724 :rule bool-double-not-elim :args (@t393)) % 44.87/45.04 (step @p725 :rule nary_cong :premises (@p713 @p724) :args ((or @t407 (not @t394)))) % 44.87/45.04 (step @p726 :rule cnf_or_neg :args (@t407 0)) % 44.87/45.04 (step @p727 :rule eq_resolve :premises (@p726 @p725)) % 44.87/45.04 (step @p728 :rule reordering :premises (@p727) :args ((or @t393 @t407))) % 44.87/45.04 (step @p729 :rule chain_m_resolution :premises (@p728 @p711) :args (@t393 @t267 @t408)) % 44.87/45.04 (step @p730 :rule cnf_or_pos :args (@t399)) % 44.87/45.04 (step @p731 :rule reordering :premises (@p730) :args ((or @t192 @t206 @t394 @t387 @t398 (not @t399)))) % 44.87/45.04 (step @p732 :rule chain_m_resolution :premises (@p731 @p236 @p243 @p729 @p723 @p696) :args (@t387 (@list false false false true false) (@list @t108 @t205 @t393 @t398 @t399))) % 44.87/45.04 (step @p733 :rule symm :premises (@p732)) % 44.87/45.04 (step @p734 :rule cong :premises (@p733 @p681) :args (@t410)) % 44.87/45.04 (step @p735 :rule trans :premises (@p734 @p680)) % 44.87/45.04 (step @p736 :rule cong :premises (@p279 @p735) :args (@t411)) % 44.87/45.04 (step @p737 :rule instantiate :premises (@p295) :args ((@list @t125 @t386 tptp.xm))) % 44.87/45.04 (step @p738 :rule cnf_or_pos :args (@t413)) % 44.87/45.04 (step @p739 :rule reordering :premises (@p738) :args ((or @t375 @t206 @t394 @t412 (not @t413)))) % 44.87/45.04 (step @p740 :rule chain_m_resolution :premises (@p739 @p656 @p243 @p729 @p737) :args (@t412 @t237 (@list @t109 @t205 @t393 @t413))) % 44.87/45.04 (step @p741 :rule cong :premises (@p718 @p681) :args (@t114)) % 44.87/45.04 (step @p742 :rule trans :premises (@p741 @p740 @p736 @p675)) % 44.87/45.04 (step @p743 :rule cong :premises (@p742 @p670) :args (@t414)) % 44.87/45.04 (step @p744 :rule instantiate :premises (@p295) :args ((@list tptp.xn tptp.xm tptp.sz00))) % 44.87/45.04 (step @p745 :rule cnf_or_pos :args (@t417)) % 44.87/45.04 (step @p746 :rule reordering :premises (@p745) :args ((or @t138 @t204 @t375 @t416 (not @t417)))) % 44.87/45.04 (step @p747 :rule chain_m_resolution :premises (@p746 @p2 @p237 @p656 @p744) :args (@t416 @t237 (@list @t4 @t110 @t109 @t417))) % 44.87/45.04 (step @p748 :rule symm :premises (@p747)) % 44.87/45.04 (step @p749 :rule instantiate :premises (@p57) :args ((@list tptp.xm))) % 44.87/45.05 (step @p750 :rule cnf_or_pos :args (@t422)) % 44.87/45.05 (step @p751 :rule reordering :premises (@p750) :args ((or @t375 @t421 (not @t422)))) % 44.87/45.05 (step @p752 :rule chain_m_resolution :premises (@p751 @p656 @p749) :args (@t421 @t144 (@list @t109 @t422))) % 44.87/45.05 (step @p753 :rule cnf_and_pos :args (@t421 0)) % 44.87/45.05 (step @p754 :rule reordering :premises (@p753) :args ((or @t420 @t423))) % 44.87/45.05 (step @p755 :rule chain_m_resolution :premises (@p754 @p752) :args (@t420 @t143 @t424)) % 44.87/45.05 (step @p756 :rule cong :premises (@p244 @p755) :args (@t114)) % 44.87/45.05 (step @p757 :rule symm :premises (@p741)) % 44.87/45.05 (step @p758 :rule symm :premises (@p740)) % 44.87/45.05 (step @p759 :rule symm :premises (@p736)) % 44.87/45.05 (step @p760 :rule trans :premises (@p674 @p759 @p758 @p757 @p756 @p748 @p743)) % 44.87/45.05 (step @p761 :rule cnf_and_pos :args (@t286 1)) % 44.87/45.05 (step @p762 :rule reordering :premises (@p761) :args ((or @t285 @t288))) % 44.87/45.05 (step @p763 :rule chain_m_resolution :premises (@p762 @p391) :args (@t285 @t143 @t289)) % 44.87/45.05 (step @p764 :rule symm :premises (@p763)) % 44.87/45.05 (step @p765 :rule cong :premises (@p742 @p764) :args ((tptp.sdtpldt0 @t114 @t284))) % 44.87/45.05 (step @p766 :rule refl :args (@t114)) % 44.87/45.05 (step @p767 :rule cong :premises (@p766 @p763) :args (@t115)) % 44.87/45.05 (step @p768 :rule trans :premises (@p767 @p765)) % 44.87/45.05 (step @p769 :rule cong :premises (@p768 @p760) :args (@t368)) % 44.87/45.05 (step @p770 :rule trans :premises (@p769 @p669)) % 44.87/45.05 (step @p771 :rule false_elim :premises (@p770)) % 44.87/45.05 (step @p772 :rule instantiate :premises (@p653) :args (@t425)) % 44.87/45.05 (step @p773 :rule instantiate :premises (@p653) :args (@t426)) % 44.87/45.05 (step @p774 :rule cnf_or_pos :args (@t428)) % 44.87/45.05 (step @p775 :rule reordering :premises (@p774) :args ((or @t204 @t375 @t427 (not @t428)))) % 44.87/45.05 (step @p776 :rule chain_m_resolution :premises (@p775 @p237 @p656 @p773) :args (@t427 @t248 (@list @t110 @t109 @t428))) % 44.87/45.05 (step @p777 :rule cnf_or_pos :args (@t430)) % 44.87/45.05 (step @p778 :rule reordering :premises (@p777) :args ((or @t192 @t429 @t362 (not @t430)))) % 44.87/45.05 (step @p779 :rule chain_m_resolution :premises (@p778 @p236 @p776 @p772) :args (@t362 @t248 (@list @t108 @t427 @t430))) % 44.87/45.05 (step @p780 :rule aci_norm :args ((= (or @t250 @t434) (or @t140 @t153 @t165 @t433 @t432 @t431 @t112 @t111)))) % 44.87/45.05 (step @p781 :rule aci_norm :args ((= (or (or @t433 @t432) @t435) @t434))) % 44.87/45.05 (step @p782 :rule aci_norm :args ((= (or @t431 @t113) @t435))) % 44.87/45.05 (step @p783 :rule bool-impl-elim :args (@t116 @t113)) % 44.87/45.05 (step @p784 :rule trans :premises (@p783 @p782)) % 44.87/45.05 (step @p785 :rule bool-and-de-morgan :args (@t119 @t118 true)) % 44.87/45.05 (step @p786 :rule nary_cong :premises (@p785 @p784) :args ((or (not @t120) @t117))) % 44.87/45.05 (step @p787 :rule trans :premises (@p786 @p781)) % 44.87/45.05 (step @p788 :rule bool-impl-elim :args (@t120 @t117)) % 44.87/45.05 (step @p789 :rule trans :premises (@p788 @p787)) % 44.87/45.05 (step @p790 :rule nary_cong :premises (@p289 @p789) :args ((or @t251 @t121))) % 44.87/45.05 (step @p791 :rule trans :premises (@p790 @p780)) % 44.87/45.05 (step @p792 :rule bool-impl-elim :args (@t21 @t121)) % 44.87/45.05 (step @p793 :rule trans :premises (@p792 @p791)) % 44.87/45.05 (step @p794 :rule cong :premises (@p793) :args (@t122)) % 44.87/45.05 (step @p795 :rule eq_resolve :premises (@p40 @p794)) % 44.87/45.05 (step @p796 :rule instantiate :premises (@p795) :args (@t379)) % 44.87/45.05 (step @p797 :rule cong :premises (@p43 @p681) :args (@t128)) % 44.87/45.05 (step @p546 :rule refl :args (tptp.xp)) % 44.87/45.05 (step @p798 :rule cong :premises (@p546 @p797) :args (@t129)) % 44.87/45.05 (step @p799 :rule eq_resolve :premises (@p45 @p798)) % 44.87/45.05 (step @p800 :rule refl :args (@t130)) % 44.87/45.05 (step @p801 :rule cong :premises (@p546 @p43) :args (@t131)) % 44.87/45.05 (step @p802 :rule nary_cong :premises (@p801 @p800) :args (@t132)) % 44.87/45.05 (step @p803 :rule cong :premises (@p802) :args (@t133)) % 44.87/45.05 (step @p804 :rule eq_resolve :premises (@p46 @p803)) % 44.87/45.05 (step @p805 :rule not_or_elim :premises (@p804) :args (0)) % 44.87/45.05 (step @p806 :rule not_or_elim :premises (@p804) :args (1)) % 44.87/45.05 (step @p807 :rule cnf_or_pos :args (@t440)) % 44.87/45.05 (step @p808 :rule reordering :premises (@p807) :args ((or @t130 @t436 @t375 @t192 @t328 @t439 @t206 @t437 (not @t440)))) % 44.87/45.05 (step @p809 :rule chain_m_resolution :premises (@p808 @p806 @p805 @p656 @p236 @p491 @p799 @p243 @p796) :args (@t437 (@list true true false false false false false false) (@list @t130 @t436 @t109 @t108 @t123 @t438 @t205 @t440))) % 44.87/45.05 (step @p810 :rule cnf_or_pos :args (@t369)) % 44.87/45.05 (step @p811 :rule reordering :premises (@p810) :args ((or @t360 @t365 @t363 @t361 @t368 (not @t369)))) % 44.87/45.05 (step @p812 :rule chain_m_resolution :premises (@p811 @p809 @p662 @p779 @p771 @p635) :args (@t361 (@list true false false true false) (@list @t360 @t364 @t362 @t368 @t369))) % 44.87/45.05 (step @p813 :rule false_intro :premises (@p812)) % 44.87/45.05 (step @p814 :rule instantiate :premises (@p274) :args (@t425)) % 44.87/45.05 (step @p815 :rule cnf_or_pos :args (@t442)) % 44.87/45.05 (step @p816 :rule reordering :premises (@p815) :args ((or @t192 @t429 @t441 (not @t442)))) % 44.87/45.05 (step @p817 :rule chain_m_resolution :premises (@p816 @p236 @p776 @p814) :args (@t441 @t248 (@list @t108 @t427 @t442))) % 44.87/45.05 (step @p818 :rule symm :premises (@p817)) % 44.87/45.05 (step @p819 :rule instantiate :premises (@p274) :args (@t426)) % 44.87/45.05 (step @p820 :rule cnf_or_pos :args (@t444)) % 44.87/45.05 (step @p821 :rule reordering :premises (@p820) :args ((or @t204 @t375 @t443 (not @t444)))) % 44.87/45.05 (step @p822 :rule chain_m_resolution :premises (@p821 @p237 @p656 @p819) :args (@t443 @t248 (@list @t110 @t109 @t444))) % 44.87/45.05 (step @p823 :rule symm :premises (@p822)) % 44.87/45.05 (step @p824 :rule cong :premises (@p546 @p823) :args (@t340)) % 44.87/45.05 (step @p825 :rule trans :premises (@p824 @p818)) % 44.87/45.05 (step @p826 :rule cnf_and_pos :args (@t421 1)) % 44.87/45.05 (step @p827 :rule reordering :premises (@p826) :args ((or @t419 @t423))) % 44.87/45.05 (step @p828 :rule chain_m_resolution :premises (@p827 @p752) :args (@t419 @t143 @t424)) % 44.87/45.05 (step @p829 :rule symm :premises (@p828)) % 44.87/45.05 (step @p830 :rule cong :premises (@p829 @p244) :args (@t445)) % 44.87/45.05 (step @p831 :rule instantiate :premises (@p295) :args ((@list tptp.sz00 tptp.xm tptp.xn))) % 44.87/45.05 (step @p832 :rule cnf_or_pos :args (@t447)) % 44.87/45.05 (step @p833 :rule reordering :premises (@p832) :args ((or @t138 @t204 @t375 @t446 (not @t447)))) % 44.87/45.05 (step @p834 :rule chain_m_resolution :premises (@p833 @p2 @p237 @p656 @p831) :args (@t446 @t237 (@list @t4 @t110 @t109 @t447))) % 44.87/45.05 (step @p835 :rule symm :premises (@p834)) % 44.87/45.05 (step @p836 :rule trans :premises (@p835 @p830 @p823)) % 44.87/45.05 (step @p837 :rule trans :premises (@p836 @p742)) % 44.87/45.05 (step @p838 :rule cong :premises (@p837 @p825) :args (@t342)) % 44.87/45.05 (step @p839 :rule trans :premises (@p838 @p813)) % 44.87/45.05 (step @p840 :rule false_elim :premises (@p839)) % 44.87/45.05 (step @p841 :rule cnf_and_pos :args (@t354 3)) % 44.87/45.05 (step @p842 :rule reordering :premises (@p841) :args ((or @t342 @t448))) % 44.87/45.05 (step @p843 :rule chain_m_resolution :premises (@p842 @p840) :args (@t448 @t267 (@list @t342))) % 44.87/45.05 (step @p844 :rule instantiate :premises (@p653) :args ((@list tptp.xm tptp.xn))) % 44.87/45.05 (step @p845 :rule cnf_or_pos :args (@t449)) % 44.87/45.05 (step @p846 :rule reordering :premises (@p845) :args ((or @t204 @t375 @t349 (not @t449)))) % 44.87/45.05 (step @p847 :rule chain_m_resolution :premises (@p846 @p237 @p656 @p844) :args (@t349 @t248 (@list @t110 @t109 @t449))) % 44.87/45.05 (step @p848 :rule cnf_or_pos :args (@t355)) % 44.87/45.05 (step @p849 :rule reordering :premises (@p848) :args ((or @t138 @t192 @t307 @t350 @t352 @t354 (not @t355)))) % 44.87/45.05 (step @p850 :rule chain_m_resolution :premises (@p849 @p2 @p236 @p497 @p847 @p843 @p607) :args (@t352 (@list false false true false true false) (@list @t4 @t108 @t307 @t349 @t354 @t355))) % 44.87/45.05 (step @p851 :rule cnf_or_pos :args (@t452)) % 44.87/45.05 (step @p852 :rule reordering :premises (@p851) :args ((or @t138 @t192 @t351 @t451 (not @t452)))) % 44.87/45.05 (step @p853 :rule chain_m_resolution :premises (@p852 @p2 @p236 @p850 @p588) :args (@t451 @t329 (@list @t4 @t108 @t351 @t452))) % 44.87/45.05 (step @p854 :rule cnf_and_pos :args (@t451 1)) % 44.87/45.05 (step @p855 :rule reordering :premises (@p854) :args ((or @t450 (not @t451)))) % 44.87/45.05 (step @p856 :rule chain_m_resolution :premises (@p855 @p853) :args (@t450 @t143 (@list @t451))) % 44.87/45.05 (step @p857 :rule refl :args (@t453)) % 44.87/45.05 (step @p858 :rule bool-double-not-elim :args (@t187)) % 44.87/45.05 (step @p859 :rule nary_cong :premises (@p536 @p858 @p857) :args ((or @t335 (not @t188) @t453))) % 44.87/45.05 (assume-push @p924 @t136) % 44.87/45.05 (assume-push @p925 @t188) % 44.87/45.05 (assume-push @p926 @t188) % 44.87/45.05 (assume-push @p927 @t136) % 44.87/45.05 (step @p864 :rule false_intro :premises (@p925)) % 44.87/45.05 (step @p865 :rule cong :premises (@p546 @p72) :args (@t450)) % 44.87/45.05 (step @p866 :rule trans :premises (@p865 @p864)) % 44.87/45.05 (step @p867 :rule false_elim :premises (@p866)) % 44.87/45.05 (step-pop @p928 :rule scope :premises (@p867)) % 44.87/45.05 (step-pop @p929 :rule scope :premises (@p928)) % 44.87/45.05 (step @p868 :rule process_scope :premises (@p929) :args (@t453)) % 44.87/45.05 (step @p871 :rule and_intro :premises (@p925 @p72)) % 44.87/45.05 (step @p872 :rule modus_ponens :premises (@p871 @p868)) % 44.87/45.05 (step-pop @p930 :rule scope :premises (@p872)) % 44.87/45.05 (step-pop @p931 :rule scope :premises (@p930)) % 44.87/45.05 (step @p873 :rule process_scope :premises (@p931) :args (@t453)) % 44.87/45.05 (step @p876 :rule implies_elim :premises (@p873)) % 44.87/45.05 (step @p877 :rule cnf_and_neg :args (@t454)) % 44.87/45.05 (step @p878 :rule resolution :premises (@p877 @p876) :args (true @t454)) % 44.87/45.05 (step @p879 :rule eq_resolve :premises (@p878 @p859)) % 44.87/45.05 (step @p880 :rule reordering :premises (@p879) :args ((or @t335 @t453 @t187))) % 44.87/45.05 (step @p881 false :rule chain_m_resolution :premises (@p880 @p856 @p572 @p72) :args (false (@list false true false) (@list @t450 @t187 @t136))) % 44.87/45.05 ) % 44.87/45.05 % SZS output end Proof % 44.87/45.05 % cvc5 exiting %------------------------------------------------------------------------------