%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM528+3 : 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 : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:44 AM UTC 2026 % Result : Theorem 23.13s 23.31s % Output : Proof 23.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM528+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 11:27:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 23.13/23.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 23.13/23.31 --- Run --no-e-matching --full-saturate-quant at 6... % 23.13/23.31 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 23.13/23.31 % SZS status Theorem % 23.13/23.31 % SZS output start Proof % 23.13/23.31 ( % 23.13/23.31 (declare-sort $$unsorted 0) % 23.13/23.31 (declare-const tptp.xq $$unsorted) % 23.13/23.31 (declare-const tptp.xp $$unsorted) % 23.13/23.31 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 23.13/23.31 (declare-const tptp.sz10 $$unsorted) % 23.13/23.31 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 23.13/23.31 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 23.13/23.31 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 23.13/23.31 (declare-const tptp.sz00 $$unsorted) % 23.13/23.31 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 23.13/23.31 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 23.13/23.31 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 23.13/23.31 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 23.13/23.31 (declare-const tptp.xn $$unsorted) % 23.13/23.31 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 23.13/23.31 (declare-const tptp.xm $$unsorted) % 23.13/23.31 (define @t1 () (@var "W0" $$unsorted)) % 23.13/23.31 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 23.13/23.31 (define @t3 () (@list @t1)) % 23.13/23.31 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 23.13/23.31 (define @t5 () (not (= tptp.sz10 tptp.sz00))) % 23.13/23.31 (define @t6 () (tptp.aNaturalNumber0 tptp.sz10)) % 23.13/23.31 (define @t7 () (@var "W1" $$unsorted)) % 23.13/23.31 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 23.13/23.31 (define @t9 () (tptp.aNaturalNumber0 @t7)) % 23.13/23.31 (define @t10 () (and @t2 @t9)) % 23.13/23.31 (define @t11 () (@list @t1 @t7)) % 23.13/23.31 (define @t12 () (tptp.sdtasdt0 @t1 @t7)) % 23.13/23.31 (define @t13 () (tptp.aNaturalNumber0 @t12)) % 23.13/23.31 (define @t14 () (forall @t11 (=> @t10 @t13))) % 23.13/23.31 (define @t15 () (tptp.sdtpldt0 @t7 @t1)) % 23.13/23.31 (define @t16 () (@var "W2" $$unsorted)) % 23.13/23.31 (define @t17 () (tptp.sdtpldt0 @t7 @t16)) % 23.13/23.31 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 23.13/23.31 (define @t19 () (and @t2 @t9 @t18)) % 23.13/23.31 (define @t20 () (@list @t1 @t7 @t16)) % 23.13/23.31 (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 23.13/23.31 (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 23.13/23.31 (define @t23 () (and (= @t22 @t1) @t21)) % 23.13/23.31 (define @t24 () (=> @t2 @t23)) % 23.13/23.31 (define @t25 () (forall @t3 @t24)) % 23.13/23.31 (define @t26 () (tptp.sdtasdt0 @t7 @t1)) % 23.13/23.31 (define @t27 () (= @t12 @t26)) % 23.13/23.31 (define @t28 () (forall @t11 (=> @t10 @t27))) % 23.13/23.31 (define @t29 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 23.13/23.31 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 23.13/23.31 (define @t31 () (and (= @t30 @t1) @t29)) % 23.13/23.31 (define @t32 () (=> @t2 @t31)) % 23.13/23.31 (define @t33 () (forall @t3 @t32)) % 23.13/23.31 (define @t34 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 23.13/23.31 (define @t35 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 23.13/23.31 (define @t36 () (and (= @t35 tptp.sz00) @t34)) % 23.13/23.31 (define @t37 () (=> @t2 @t36)) % 23.13/23.31 (define @t38 () (forall @t3 @t37)) % 23.13/23.31 (define @t39 () (tptp.sdtasdt0 @t16 @t1)) % 23.13/23.31 (define @t40 () (tptp.sdtasdt0 @t1 @t16)) % 23.13/23.31 (define @t41 () (= @t7 @t16)) % 23.13/23.31 (define @t42 () (tptp.sdtpldt0 @t16 @t1)) % 23.13/23.31 (define @t43 () (tptp.sdtpldt0 @t1 @t16)) % 23.13/23.31 (define @t44 () (= @t26 @t39)) % 23.13/23.31 (define @t45 () (= @t12 @t40)) % 23.13/23.31 (define @t46 () (or @t45 @t44)) % 23.13/23.31 (define @t47 () (=> @t46 @t41)) % 23.13/23.31 (define @t48 () (and @t9 @t18)) % 23.13/23.31 (define @t49 () (@list @t7 @t16)) % 23.13/23.31 (define @t50 () (forall @t49 (=> @t48 @t47))) % 23.13/23.31 (define @t51 () (= @t1 tptp.sz00)) % 23.13/23.31 (define @t52 () (not @t51)) % 23.13/23.31 (define @t53 () (=> @t52 @t50)) % 23.13/23.31 (define @t54 () (=> @t2 @t53)) % 23.13/23.31 (define @t55 () (forall @t3 @t54)) % 23.13/23.31 (define @t56 () (= @t7 tptp.sz00)) % 23.13/23.31 (define @t57 () (or @t51 @t56)) % 23.13/23.31 (define @t58 () (=> (= @t12 tptp.sz00) @t57)) % 23.13/23.31 (define @t59 () (=> @t10 @t58)) % 23.13/23.31 (define @t60 () (forall @t11 @t59)) % 23.13/23.31 (define @t61 () (and @t18 (= @t43 @t7))) % 23.13/23.31 (define @t62 () (@list @t16)) % 23.13/23.31 (define @t63 () (tptp.sdtlseqdt0 @t1 @t7)) % 23.13/23.31 (define @t64 () (tptp.sdtlseqdt0 @t1 @t1)) % 23.13/23.31 (define @t65 () (forall @t3 (=> @t2 @t64))) % 23.13/23.31 (define @t66 () (= @t1 @t7)) % 23.13/23.31 (define @t67 () (tptp.sdtlseqdt0 @t7 @t1)) % 23.13/23.31 (define @t68 () (and @t63 @t67)) % 23.13/23.31 (define @t69 () (=> @t68 @t66)) % 23.13/23.31 (define @t70 () (forall @t11 (=> @t10 @t69))) % 23.13/23.31 (define @t71 () (tptp.sdtlseqdt0 @t7 @t16)) % 23.13/23.31 (define @t72 () (= @t7 @t1)) % 23.13/23.31 (define @t73 () (not @t72)) % 23.13/23.31 (define @t74 () (and @t73 @t67)) % 23.13/23.31 (define @t75 () (or @t63 @t74)) % 23.13/23.31 (define @t76 () (=> @t10 @t75)) % 23.13/23.31 (define @t77 () (forall @t11 @t76)) % 23.13/23.31 (define @t78 () (tptp.sdtpldt0 @t16 @t7)) % 23.13/23.31 (define @t79 () (not @t66)) % 23.13/23.31 (define @t80 () (and @t79 @t63)) % 23.13/23.31 (define @t81 () (not @t44)) % 23.13/23.31 (define @t82 () (not @t45)) % 23.13/23.31 (define @t83 () (= @t1 tptp.sz10)) % 23.13/23.31 (define @t84 () (tptp.sdtlseqdt0 @t7 @t26)) % 23.13/23.31 (define @t85 () (=> @t52 @t84)) % 23.13/23.31 (define @t86 () (forall @t11 (=> @t10 @t85))) % 23.13/23.31 (define @t87 () (tptp.iLess0 @t1 @t7)) % 23.13/23.31 (define @t88 () (and @t18 (= @t7 @t40))) % 23.13/23.31 (define @t89 () (tptp.doDivides0 @t1 @t7)) % 23.13/23.31 (define @t90 () (tptp.sdtsldt0 @t7 @t1)) % 23.13/23.31 (define @t91 () (= @t16 @t90)) % 23.13/23.31 (define @t92 () (forall @t62 (= @t91 @t88))) % 23.13/23.31 (define @t93 () (and @t52 @t89)) % 23.13/23.31 (define @t94 () (=> @t93 @t92)) % 23.13/23.31 (define @t95 () (=> @t10 @t94)) % 23.13/23.31 (define @t96 () (forall @t11 @t95)) % 23.13/23.31 (define @t97 () (tptp.doDivides0 @t1 @t16)) % 23.13/23.31 (define @t98 () (tptp.doDivides0 @t1 @t17)) % 23.13/23.31 (define @t99 () (and @t89 @t98)) % 23.13/23.31 (define @t100 () (=> @t99 @t97)) % 23.13/23.31 (define @t101 () (forall @t20 (=> @t19 @t100))) % 23.13/23.31 (define @t102 () (not @t56)) % 23.13/23.31 (define @t103 () (or (= @t7 tptp.sz10) @t72)) % 23.13/23.31 (define @t104 () (tptp.doDivides0 @t7 @t1)) % 23.13/23.31 (define @t105 () (and @t9 @t104)) % 23.13/23.31 (define @t106 () (=> @t105 @t103)) % 23.13/23.31 (define @t107 () (@list @t7)) % 23.13/23.31 (define @t108 () (forall @t107 @t106)) % 23.13/23.31 (define @t109 () (not @t83)) % 23.13/23.31 (define @t110 () (and @t52 @t109 @t108)) % 23.13/23.31 (define @t111 () (tptp.isPrime0 @t1)) % 23.13/23.31 (define @t112 () (= @t111 @t110)) % 23.13/23.31 (define @t113 () (=> @t2 @t112)) % 23.13/23.31 (define @t114 () (forall @t3 @t113)) % 23.13/23.31 (define @t115 () (tptp.isPrime0 @t7)) % 23.13/23.31 (define @t116 () (and @t9 @t104 @t115)) % 23.13/23.31 (define @t117 () (exists @t107 @t116)) % 23.13/23.31 (define @t118 () (and @t2 @t52 @t109)) % 23.13/23.31 (define @t119 () (=> @t118 @t117)) % 23.13/23.31 (define @t120 () (forall @t3 @t119)) % 23.13/23.31 (define @t121 () (tptp.isPrime0 @t16)) % 23.13/23.31 (define @t122 () (= tptp.xp tptp.sz00)) % 23.13/23.31 (define @t123 () (not (= tptp.xn tptp.sz00))) % 23.13/23.31 (define @t124 () (tptp.aNaturalNumber0 tptp.xp)) % 23.13/23.31 (define @t125 () (tptp.aNaturalNumber0 tptp.xm)) % 23.13/23.31 (define @t126 () (tptp.aNaturalNumber0 tptp.xn)) % 23.13/23.31 (define @t127 () (@var "W3" $$unsorted)) % 23.13/23.31 (define @t128 () (@var "W4" $$unsorted)) % 23.13/23.31 (define @t129 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 23.13/23.31 (define @t130 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 23.13/23.31 (define @t131 () (tptp.sdtasdt0 tptp.xp @t130)) % 23.13/23.31 (define @t132 () (= @t131 @t129)) % 23.13/23.31 (define @t133 () (= @t1 tptp.xp)) % 23.13/23.31 (define @t134 () (or @t83 @t133)) % 23.13/23.31 (define @t135 () (tptp.doDivides0 @t1 tptp.xp)) % 23.13/23.31 (define @t136 () (and @t9 (= tptp.xp @t12))) % 23.13/23.31 (define @t137 () (exists @t107 @t136)) % 23.13/23.31 (define @t138 () (or @t137 @t135)) % 23.13/23.31 (define @t139 () (and @t2 @t138)) % 23.13/23.31 (define @t140 () (=> @t139 @t134)) % 23.13/23.31 (define @t141 () (forall @t3 @t140)) % 23.13/23.31 (define @t142 () (= tptp.xp tptp.sz10)) % 23.13/23.31 (define @t143 () (tptp.sdtasdt0 tptp.xp @t1)) % 23.13/23.31 (define @t144 () (= @t129 @t143)) % 23.13/23.31 (define @t145 () (and @t2 @t144)) % 23.13/23.31 (define @t146 () (exists @t3 @t145)) % 23.13/23.31 (define @t147 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 23.13/23.31 (define @t148 () (tptp.aNaturalNumber0 tptp.xq)) % 23.13/23.31 (define @t149 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 23.13/23.31 (define @t150 () (tptp.sdtasdt0 tptp.xp @t149)) % 23.13/23.31 (define @t151 () (tptp.sdtlseqdt0 @t129 @t130)) % 23.13/23.31 (define @t152 () (tptp.sdtpldt0 @t129 @t1)) % 23.13/23.31 (define @t153 () (and @t2 (= @t152 @t130))) % 23.13/23.31 (define @t154 () (exists @t3 @t153)) % 23.13/23.31 (define @t155 () (and @t154 @t151)) % 23.13/23.31 (define @t156 () (tptp.sdtlseqdt0 tptp.xn tptp.xm)) % 23.13/23.31 (define @t157 () (tptp.sdtpldt0 tptp.xn @t1)) % 23.13/23.31 (define @t158 () (and @t2 (= @t157 tptp.xm))) % 23.13/23.31 (define @t159 () (exists @t3 @t158)) % 23.13/23.31 (define @t160 () (or @t159 @t156)) % 23.13/23.31 (define @t161 () (=> @t160 @t155)) % 23.13/23.31 (define @t162 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 23.13/23.31 (define @t163 () (tptp.sdtpldt0 tptp.xm @t1)) % 23.13/23.31 (define @t164 () (and @t2 (= @t163 tptp.xn))) % 23.13/23.31 (define @t165 () (exists @t3 @t164)) % 23.13/23.31 (define @t166 () (or @t165 @t162)) % 23.13/23.31 (define @t167 () (not (= tptp.xm tptp.xn))) % 23.13/23.31 (define @t168 () (and @t167 @t166)) % 23.13/23.31 (define @t169 () (not @t168)) % 23.13/23.31 (define @t170 () (tptp.sdtasdt0 @t147 @t147)) % 23.13/23.31 (define @t171 () (not (= @t170 @t143))) % 23.13/23.31 (define @t172 () (not @t2)) % 23.13/23.31 (define @t173 () (or @t172 @t171)) % 23.13/23.31 (define @t174 () (forall @t3 @t173)) % 23.13/23.31 (define @t175 () (not @t144)) % 23.13/23.31 (define @t176 () (or @t172 @t175)) % 23.13/23.31 (define @t177 () (forall @t3 @t176)) % 23.13/23.31 (define @t178 () (forall @t3 (not @t145))) % 23.13/23.31 (define @t179 () (not @t178)) % 23.13/23.31 (define @t180 () (forall @t3 (or @t172 (not (= @t143 @t170))))) % 23.13/23.31 (define @t181 () (@quantifiers_skolemize @t180 0)) % 23.13/23.31 (define @t182 () (tptp.sdtasdt0 tptp.xp @t181)) % 23.13/23.31 (define @t183 () (= @t170 @t182)) % 23.13/23.31 (define @t184 () (not @t183)) % 23.13/23.31 (define @t185 () (tptp.aNaturalNumber0 @t181)) % 23.13/23.31 (define @t186 () (not @t185)) % 23.13/23.31 (define @t187 () (or @t186 @t184)) % 23.13/23.31 (define @t188 () (not @t187)) % 23.13/23.31 (define @t189 () (not @t180)) % 23.13/23.31 (define @t190 () (not (= @t182 @t170))) % 23.13/23.31 (define @t191 () (or @t186 @t190)) % 23.13/23.31 (define @t192 () (not @t191)) % 23.13/23.31 (define @t193 () (@list true)) % 23.13/23.31 (define @t194 () (@list @t187)) % 23.13/23.31 (define @t195 () (not @t9)) % 23.13/23.31 (define @t196 () (or @t172 @t195)) % 23.13/23.31 (define @t197 () (not @t10)) % 23.13/23.31 (define @t198 () (@list tptp.xp @t181)) % 23.13/23.31 (define @t199 () (tptp.aNaturalNumber0 @t182)) % 23.13/23.31 (define @t200 () (not @t124)) % 23.13/23.31 (define @t201 () (or @t200 @t186 @t199)) % 23.13/23.31 (define @t202 () (@list false false false)) % 23.13/23.31 (define @t203 () (tptp.aNaturalNumber0 @t170)) % 23.13/23.31 (define @t204 () (or @t172 @t195 @t51 @t84)) % 23.13/23.31 (define @t205 () (not @t52)) % 23.13/23.31 (define @t206 () (tptp.sdtasdt0 @t181 tptp.xp)) % 23.13/23.31 (define @t207 () (tptp.sdtlseqdt0 @t181 @t206)) % 23.13/23.31 (define @t208 () (or @t200 @t186 @t122 @t207)) % 23.13/23.31 (define @t209 () (forall @t11 @t204)) % 23.13/23.31 (define @t210 () (= tptp.sz00 tptp.xp)) % 23.13/23.31 (define @t211 () (or @t200 @t186 @t210 @t207)) % 23.13/23.31 (define @t212 () (@list false)) % 23.13/23.31 (define @t213 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 23.13/23.31 (define @t214 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 23.13/23.31 (define @t215 () (= @t214 @t213)) % 23.13/23.31 (define @t216 () (and (not (= (tptp.sdtasdt0 @t1 @t214) (tptp.sdtasdt0 @t1 @t213))) (not (= (tptp.sdtasdt0 @t214 @t1) (tptp.sdtasdt0 @t213 @t1))))) % 23.13/23.31 (define @t217 () (not (tptp.aNaturalNumber0 @t213))) % 23.13/23.31 (define @t218 () (not (tptp.aNaturalNumber0 @t214))) % 23.13/23.31 (define @t219 () (or @t172 @t51 @t218 @t217 @t216 @t215)) % 23.13/23.31 (define @t220 () (or @t218 @t217 @t216 @t215)) % 23.13/23.31 (define @t221 () (or @t172 @t51 @t220)) % 23.13/23.31 (define @t222 () (@list @t1 @t214 @t213)) % 23.13/23.31 (define @t223 () (forall @t222 @t221)) % 23.13/23.31 (define @t224 () (@list @t214 @t213)) % 23.13/23.31 (define @t225 () (forall @t224 @t221)) % 23.13/23.31 (define @t226 () (forall @t224 @t220)) % 23.13/23.31 (define @t227 () (or @t172 @t51 @t226)) % 23.13/23.31 (define @t228 () (and @t82 @t81)) % 23.13/23.31 (define @t229 () (not @t18)) % 23.13/23.31 (define @t230 () (or @t195 @t229 @t228 @t41)) % 23.13/23.31 (define @t231 () (forall @t49 @t230)) % 23.13/23.31 (define @t232 () (or @t172 @t51 @t231)) % 23.13/23.31 (define @t233 () (=> @t52 @t231)) % 23.13/23.31 (define @t234 () (or @t195 @t229)) % 23.13/23.31 (define @t235 () (not @t48)) % 23.13/23.31 (define @t236 () (= @t130 @t181)) % 23.13/23.31 (define @t237 () (tptp.sdtasdt0 @t130 tptp.xp)) % 23.13/23.31 (define @t238 () (= @t131 @t182)) % 23.13/23.31 (define @t239 () (not @t238)) % 23.13/23.31 (define @t240 () (and @t239 (not (= @t237 @t206)))) % 23.13/23.31 (define @t241 () (tptp.aNaturalNumber0 @t130)) % 23.13/23.31 (define @t242 () (not @t241)) % 23.13/23.31 (define @t243 () (or @t200 @t122 @t242 @t186 @t240 @t236)) % 23.13/23.31 (define @t244 () (forall @t222 @t219)) % 23.13/23.31 (define @t245 () (or @t200 @t210 @t242 @t186 @t240 @t236)) % 23.13/23.31 (define @t246 () (@list @t244)) % 23.13/23.31 (define @t247 () (not @t240)) % 23.13/23.31 (define @t248 () (tptp.aNaturalNumber0 @t149)) % 23.13/23.31 (define @t249 () (not @t148)) % 23.13/23.31 (define @t250 () (or @t249 @t249 @t248)) % 23.13/23.31 (define @t251 () (@list false false)) % 23.13/23.31 (define @t252 () (tptp.aNaturalNumber0 @t150)) % 23.13/23.31 (define @t253 () (not @t248)) % 23.13/23.31 (define @t254 () (or @t200 @t253 @t252)) % 23.13/23.31 (define @t255 () (@list true false false false true false)) % 23.13/23.31 (define @t256 () (= @t131 @t237)) % 23.13/23.31 (define @t257 () (or @t200 @t242 @t256)) % 23.13/23.31 (define @t258 () (tptp.sdtlseqdt0 @t181 @t170)) % 23.13/23.31 (define @t259 () (not @t67)) % 23.13/23.31 (define @t260 () (not @t63)) % 23.13/23.31 (define @t261 () (or @t172 @t195 @t260 @t259 @t66)) % 23.13/23.31 (define @t262 () (or @t260 @t259 @t66)) % 23.13/23.31 (define @t263 () (tptp.sdtlseqdt0 @t170 @t181)) % 23.13/23.31 (define @t264 () (not @t263)) % 23.13/23.31 (define @t265 () (not @t258)) % 23.13/23.31 (define @t266 () (not @t203)) % 23.13/23.31 (define @t267 () (or @t186 @t266 @t265 @t264 (= @t181 @t170))) % 23.13/23.31 (define @t268 () (forall @t11 @t261)) % 23.13/23.31 (define @t269 () (= @t170 @t181)) % 23.13/23.31 (define @t270 () (or @t186 @t266 @t265 @t264 @t269)) % 23.13/23.31 (define @t271 () (= tptp.sz10 tptp.xp)) % 23.13/23.31 (define @t272 () (tptp.sdtasdt0 tptp.sz10 @t181)) % 23.13/23.31 (define @t273 () (not (= @t272 @t182))) % 23.13/23.31 (define @t274 () (tptp.sdtasdt0 @t181 tptp.sz10)) % 23.13/23.31 (define @t275 () (not (= @t274 @t206))) % 23.13/23.31 (define @t276 () (and @t275 @t273)) % 23.13/23.31 (define @t277 () (not @t6)) % 23.13/23.31 (define @t278 () (or @t186 (= @t181 tptp.sz00) @t277 @t200 @t276 @t271)) % 23.13/23.31 (define @t279 () (= @t182 @t272)) % 23.13/23.31 (define @t280 () (= @t206 @t274)) % 23.13/23.31 (define @t281 () (not @t280)) % 23.13/23.31 (define @t282 () (and @t281 (not @t279))) % 23.13/23.31 (define @t283 () (= tptp.sz00 @t181)) % 23.13/23.31 (define @t284 () (or @t186 @t283 @t277 @t200 @t282 @t271)) % 23.13/23.31 (define @t285 () (@var "BOUND_VARIABLE_8079" $$unsorted)) % 23.13/23.31 (define @t286 () (and (tptp.aNaturalNumber0 @t285) (= @t7 (tptp.sdtasdt0 @t1 @t285)))) % 23.13/23.31 (define @t287 () (= @t286 (= @t285 @t90))) % 23.13/23.31 (define @t288 () (not @t89)) % 23.13/23.31 (define @t289 () (or @t172 @t195 @t51 @t288 @t287)) % 23.13/23.31 (define @t290 () (@list @t1 @t7 @t285)) % 23.13/23.31 (define @t291 () (forall @t290 @t289)) % 23.13/23.31 (define @t292 () (@list @t285)) % 23.13/23.31 (define @t293 () (forall @t292 @t289)) % 23.13/23.31 (define @t294 () (forall @t292 @t287)) % 23.13/23.31 (define @t295 () (or @t172 @t195 @t51 @t288 @t294)) % 23.13/23.31 (define @t296 () (forall @t62 (= @t88 @t91))) % 23.13/23.31 (define @t297 () (or @t172 @t195 @t51 @t288 @t296)) % 23.13/23.31 (define @t298 () (or @t51 @t288 @t296)) % 23.13/23.31 (define @t299 () (=> @t93 @t296)) % 23.13/23.31 (define @t300 () (tptp.sdtsldt0 tptp.sz00 tptp.xp)) % 23.13/23.31 (define @t301 () (= tptp.sz00 @t182)) % 23.13/23.31 (define @t302 () (and @t185 @t301)) % 23.13/23.31 (define @t303 () (= @t302 (= @t300 @t181))) % 23.13/23.31 (define @t304 () (tptp.doDivides0 tptp.xp tptp.sz00)) % 23.13/23.31 (define @t305 () (not @t304)) % 23.13/23.31 (define @t306 () (not @t4)) % 23.13/23.31 (define @t307 () (or @t200 @t306 @t122 @t305 @t303)) % 23.13/23.31 (define @t308 () (forall @t290 (or @t172 @t195 @t51 @t288 (= @t286 (= @t90 @t285))))) % 23.13/23.31 (define @t309 () (= @t181 @t300)) % 23.13/23.31 (define @t310 () (= @t302 @t309)) % 23.13/23.31 (define @t311 () (or @t200 @t306 @t210 @t305 @t310)) % 23.13/23.31 (define @t312 () (@list @t308)) % 23.13/23.31 (define @t313 () (not @t98)) % 23.13/23.31 (define @t314 () (or @t288 @t313 @t97)) % 23.13/23.31 (define @t315 () (or @t172 @t195 @t229)) % 23.13/23.31 (define @t316 () (and (= @t1 @t22) @t21)) % 23.13/23.31 (define @t317 () (@list tptp.xp)) % 23.13/23.31 (define @t318 () (tptp.sdtpldt0 tptp.xp tptp.sz00)) % 23.13/23.31 (define @t319 () (= tptp.xp @t318)) % 23.13/23.31 (define @t320 () (and @t319 (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp)))) % 23.13/23.31 (define @t321 () (or @t200 @t320)) % 23.13/23.31 (define @t322 () (not @t135)) % 23.13/23.31 (define @t323 () (@var "BOUND_VARIABLE_8271" $$unsorted)) % 23.13/23.31 (define @t324 () (tptp.sdtasdt0 @t1 @t323)) % 23.13/23.31 (define @t325 () (not (= @t324 tptp.xp))) % 23.13/23.31 (define @t326 () (not (tptp.aNaturalNumber0 @t323))) % 23.13/23.31 (define @t327 () (or @t326 @t325)) % 23.13/23.31 (define @t328 () (and @t327 @t322)) % 23.13/23.31 (define @t329 () (or @t172 @t328 @t83 @t133)) % 23.13/23.31 (define @t330 () (@list @t1 @t323)) % 23.13/23.31 (define @t331 () (forall @t330 @t329)) % 23.13/23.31 (define @t332 () (@list @t323)) % 23.13/23.31 (define @t333 () (forall @t332 @t329)) % 23.13/23.31 (define @t334 () (forall @t332 @t322)) % 23.13/23.31 (define @t335 () (forall @t332 @t327)) % 23.13/23.31 (define @t336 () (and @t335 @t334)) % 23.13/23.31 (define @t337 () (forall @t332 @t328)) % 23.13/23.31 (define @t338 () (or @t172 @t337 @t83 @t133)) % 23.13/23.31 (define @t339 () (= @t12 tptp.xp)) % 23.13/23.31 (define @t340 () (forall @t107 (or @t195 (not @t339)))) % 23.13/23.31 (define @t341 () (and @t340 @t322)) % 23.13/23.31 (define @t342 () (or @t172 @t341 @t83 @t133)) % 23.13/23.31 (define @t343 () (not @t340)) % 23.13/23.31 (define @t344 () (or @t343 @t135)) % 23.13/23.31 (define @t345 () (and @t2 @t344)) % 23.13/23.31 (define @t346 () (and @t9 @t339)) % 23.13/23.31 (define @t347 () (forall @t107 (not @t346))) % 23.13/23.31 (define @t348 () (not @t347)) % 23.13/23.31 (define @t349 () (not @t115)) % 23.13/23.31 (define @t350 () (forall @t107 (or @t195 (not (tptp.doDivides0 @t7 tptp.xp)) @t349))) % 23.13/23.31 (define @t351 () (@quantifiers_skolemize @t350 0)) % 23.13/23.31 (define @t352 () (tptp.doDivides0 @t351 tptp.xp)) % 23.13/23.31 (define @t353 () (not @t352)) % 23.13/23.31 (define @t354 () (and (or @t306 (not (= tptp.xp (tptp.sdtasdt0 @t351 tptp.sz00)))) @t353)) % 23.13/23.31 (define @t355 () (tptp.aNaturalNumber0 @t351)) % 23.13/23.31 (define @t356 () (not @t355)) % 23.13/23.31 (define @t357 () (or @t356 @t354 (= @t351 tptp.sz10) (= @t351 tptp.xp))) % 23.13/23.31 (define @t358 () (forall @t330 (or @t172 (and (or @t326 (not (= tptp.xp @t324))) @t322) @t83 @t133))) % 23.13/23.31 (define @t359 () (= tptp.xp @t351)) % 23.13/23.31 (define @t360 () (= tptp.sz10 @t351)) % 23.13/23.31 (define @t361 () (or @t356 @t354 @t360 @t359)) % 23.13/23.31 (define @t362 () (not @t104)) % 23.13/23.31 (define @t363 () (or @t195 @t362 @t349)) % 23.13/23.31 (define @t364 () (not (forall @t107 @t363))) % 23.13/23.31 (define @t365 () (or @t172 @t51 @t83 @t364)) % 23.13/23.31 (define @t366 () (not @t109)) % 23.13/23.31 (define @t367 () (or @t172 @t205 @t366)) % 23.13/23.31 (define @t368 () (forall @t107 (not @t116))) % 23.13/23.31 (define @t369 () (not @t368)) % 23.13/23.31 (define @t370 () (not @t350)) % 23.13/23.31 (define @t371 () (or @t200 @t122 @t142 @t370)) % 23.13/23.31 (define @t372 () (forall @t3 @t365)) % 23.13/23.31 (define @t373 () (or @t200 @t210 @t271 @t370)) % 23.13/23.31 (define @t374 () (tptp.isPrime0 @t351)) % 23.13/23.31 (define @t375 () (not @t374)) % 23.13/23.31 (define @t376 () (or @t356 @t353 @t375)) % 23.13/23.31 (define @t377 () (@list @t376)) % 23.13/23.31 (define @t378 () (= tptp.sz10 @t7)) % 23.13/23.31 (define @t379 () (or @t195 @t362 @t378 @t66)) % 23.13/23.31 (define @t380 () (= @t111 (and @t52 @t109 (forall @t107 @t379)))) % 23.13/23.31 (define @t381 () (or @t378 @t66)) % 23.13/23.31 (define @t382 () (tptp.isPrime0 tptp.sz10)) % 23.13/23.31 (define @t383 () (not (tptp.doDivides0 @t7 tptp.sz10))) % 23.13/23.31 (define @t384 () (or @t195 @t383 @t378)) % 23.13/23.31 (define @t385 () (or @t195 @t383 @t378 @t378)) % 23.13/23.31 (define @t386 () (forall @t107 @t385)) % 23.13/23.31 (define @t387 () (not (= tptp.sz10 tptp.sz10))) % 23.13/23.31 (define @t388 () (and @t5 @t387 @t386)) % 23.13/23.31 (define @t389 () (= @t382 @t388)) % 23.13/23.31 (define @t390 () (or @t277 @t389)) % 23.13/23.31 (define @t391 () (forall @t3 (or @t172 @t380))) % 23.13/23.31 (define @t392 () (@list tptp.sz10)) % 23.13/23.31 (define @t393 () (not @t382)) % 23.13/23.31 (define @t394 () (or @t277 @t393)) % 23.13/23.31 (define @t395 () (not @t360)) % 23.13/23.31 (define @t396 () (and @t393 @t360 @t374)) % 23.13/23.31 (define @t397 () (@list true false)) % 23.13/23.31 (define @t398 () (not @t354)) % 23.13/23.31 (define @t399 () (tptp.doDivides0 tptp.xp @t318)) % 23.13/23.31 (define @t400 () (and @t352 @t359 @t319)) % 23.13/23.31 (define @t401 () (tptp.doDivides0 tptp.xp tptp.xp)) % 23.13/23.31 (define @t402 () (and @t352 @t359)) % 23.13/23.31 (define @t403 () (not @t399)) % 23.13/23.31 (define @t404 () (not @t401)) % 23.13/23.31 (define @t405 () (or @t200 @t200 @t306 @t404 @t403 @t304)) % 23.13/23.31 (define @t406 () (@list true false false false false)) % 23.13/23.31 (define @t407 () (= tptp.sz00 @t7)) % 23.13/23.31 (define @t408 () (= tptp.sz00 @t12)) % 23.13/23.31 (define @t409 () (not @t408)) % 23.13/23.31 (define @t410 () (or @t172 @t195 @t409 @t51 @t407)) % 23.13/23.31 (define @t411 () (or @t409 @t51 @t407)) % 23.13/23.31 (define @t412 () (or @t51 @t407)) % 23.13/23.31 (define @t413 () (=> @t408 @t412)) % 23.13/23.31 (define @t414 () (= tptp.sz00 @t147)) % 23.13/23.31 (define @t415 () (not (= tptp.sz00 @t170))) % 23.13/23.31 (define @t416 () (tptp.aNaturalNumber0 @t147)) % 23.13/23.31 (define @t417 () (not @t416)) % 23.13/23.31 (define @t418 () (or @t417 @t417 @t415 (= @t147 tptp.sz00) @t414)) % 23.13/23.31 (define @t419 () (forall @t11 @t410)) % 23.13/23.31 (define @t420 () (or @t417 @t417 @t415 @t414 @t414)) % 23.13/23.31 (define @t421 () (= tptp.sz00 tptp.xn)) % 23.13/23.31 (define @t422 () (not @t302)) % 23.13/23.31 (define @t423 () (not @t309)) % 23.13/23.31 (define @t424 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00))) % 23.13/23.31 (define @t425 () (and @t4 @t424)) % 23.13/23.31 (define @t426 () (= @t425 (= @t300 tptp.sz00))) % 23.13/23.31 (define @t427 () (or @t200 @t306 @t122 @t305 @t426)) % 23.13/23.31 (define @t428 () (= tptp.sz00 @t300)) % 23.13/23.31 (define @t429 () (= @t425 @t428)) % 23.13/23.31 (define @t430 () (or @t200 @t306 @t210 @t305 @t429)) % 23.13/23.31 (define @t431 () (and (= tptp.sz00 @t35) @t34)) % 23.13/23.31 (define @t432 () (and @t424 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 23.13/23.31 (define @t433 () (or @t200 @t432)) % 23.13/23.31 (define @t434 () (not @t424)) % 23.13/23.31 (define @t435 () (not @t428)) % 23.13/23.31 (define @t436 () (not @t283)) % 23.13/23.31 (define @t437 () (= false true)) % 23.13/23.31 (define @t438 () (and @t424 @t283 @t428 @t423)) % 23.13/23.31 (define @t439 () (and (= @t1 @t30) @t29)) % 23.13/23.31 (define @t440 () (= @t130 (tptp.sdtasdt0 tptp.sz10 @t130))) % 23.13/23.31 (define @t441 () (tptp.sdtasdt0 @t130 tptp.sz10)) % 23.13/23.31 (define @t442 () (= @t130 @t441)) % 23.13/23.31 (define @t443 () (and @t442 @t440)) % 23.13/23.31 (define @t444 () (or @t242 @t443)) % 23.13/23.31 (define @t445 () (not @t443)) % 23.13/23.31 (define @t446 () (@list @t443)) % 23.13/23.31 (define @t447 () (tptp.sdtasdt0 tptp.sz10 tptp.sz10)) % 23.13/23.31 (define @t448 () (= tptp.sz10 @t447)) % 23.13/23.31 (define @t449 () (and @t448 @t448)) % 23.13/23.31 (define @t450 () (or @t277 @t449)) % 23.13/23.31 (define @t451 () (forall @t3 (or @t172 @t439))) % 23.13/23.31 (define @t452 () (or @t277 @t448)) % 23.13/23.31 (define @t453 () (not @t269)) % 23.13/23.31 (define @t454 () (not @t440)) % 23.13/23.31 (define @t455 () (not @t442)) % 23.13/23.31 (define @t456 () (not @t256)) % 23.13/23.31 (define @t457 () (not @t236)) % 23.13/23.31 (define @t458 () (not @t448)) % 23.13/23.31 (define @t459 () (= @t131 @t170)) % 23.13/23.31 (define @t460 () (not @t459)) % 23.13/23.31 (define @t461 () (and @t459 @t183 @t448 @t236 @t256 @t442 @t440 @t281)) % 23.13/23.31 (define @t462 () (tptp.sdtlseqdt0 @t147 @t147)) % 23.13/23.31 (define @t463 () (or @t417 @t462)) % 23.13/23.31 (define @t464 () (not @t462)) % 23.13/23.31 (define @t465 () (tptp.sdtlseqdt0 @t147 tptp.xm)) % 23.13/23.31 (define @t466 () (= tptp.xm @t147)) % 23.13/23.31 (define @t467 () (not @t466)) % 23.13/23.31 (define @t468 () (not @t465)) % 23.13/23.31 (define @t469 () (and @t462 @t466 @t468)) % 23.13/23.31 (define @t470 () (and @t467 @t465)) % 23.13/23.31 (define @t471 () (tptp.sdtlseqdt0 tptp.xm @t147)) % 23.13/23.31 (define @t472 () (or (not (forall @t3 (or @t172 (not (= @t147 @t163))))) @t471)) % 23.13/23.31 (define @t473 () (not @t472)) % 23.13/23.31 (define @t474 () (not (= @t147 tptp.xm))) % 23.13/23.31 (define @t475 () (and @t474 @t472)) % 23.13/23.31 (define @t476 () (= tptp.xn @t163)) % 23.13/23.31 (define @t477 () (not @t476)) % 23.13/23.31 (define @t478 () (or @t172 @t477)) % 23.13/23.31 (define @t479 () (forall @t3 @t478)) % 23.13/23.31 (define @t480 () (not @t479)) % 23.13/23.31 (define @t481 () (or @t480 @t162)) % 23.13/23.31 (define @t482 () (= tptp.xn tptp.xm)) % 23.13/23.31 (define @t483 () (not @t482)) % 23.13/23.31 (define @t484 () (and @t483 @t481)) % 23.13/23.31 (define @t485 () (and @t2 @t476)) % 23.13/23.31 (define @t486 () (forall @t3 (not @t485))) % 23.13/23.31 (define @t487 () (not @t486)) % 23.13/23.31 (define @t488 () (and @t79 @t67)) % 23.13/23.31 (define @t489 () (or @t63 @t488)) % 23.13/23.31 (define @t490 () (not @t125)) % 23.13/23.31 (define @t491 () (or @t490 @t417 @t471 @t470)) % 23.13/23.31 (define @t492 () (or (not (forall @t3 (or @t172 (not (= tptp.xm (tptp.sdtpldt0 @t147 @t1)))))) @t465)) % 23.13/23.31 (define @t493 () (= @t130 @t152)) % 23.13/23.31 (define @t494 () (not @t493)) % 23.13/23.31 (define @t495 () (or @t172 @t494)) % 23.13/23.31 (define @t496 () (forall @t3 @t495)) % 23.13/23.31 (define @t497 () (not @t496)) % 23.13/23.31 (define @t498 () (and @t497 @t151)) % 23.13/23.31 (define @t499 () (= tptp.xm @t157)) % 23.13/23.31 (define @t500 () (not @t499)) % 23.13/23.31 (define @t501 () (or @t172 @t500)) % 23.13/23.31 (define @t502 () (forall @t3 @t501)) % 23.13/23.31 (define @t503 () (not @t502)) % 23.13/23.31 (define @t504 () (or @t503 @t156)) % 23.13/23.31 (define @t505 () (and @t2 @t493)) % 23.13/23.31 (define @t506 () (forall @t3 (not @t505))) % 23.13/23.31 (define @t507 () (not @t506)) % 23.13/23.31 (define @t508 () (and @t2 @t499)) % 23.13/23.31 (define @t509 () (forall @t3 (not @t508))) % 23.13/23.31 (define @t510 () (not @t509)) % 23.13/23.31 (define @t511 () (tptp.sdtlseqdt0 @t170 @t130)) % 23.13/23.31 (define @t512 () (and (not (forall @t3 (or @t172 (not (= @t130 (tptp.sdtpldt0 @t170 @t1)))))) @t511)) % 23.13/23.31 (define @t513 () (and @t511 @t236)) % 23.13/23.31 (assume @p1 (forall @t3 (=> @t2 true))) % 23.13/23.31 (assume @p2 @t4) % 23.13/23.31 (assume @p3 (and @t6 @t5)) % 23.13/23.31 (assume @p4 (forall @t11 (=> @t10 (tptp.aNaturalNumber0 @t8)))) % 23.13/23.31 (assume @p5 @t14) % 23.13/23.31 (assume @p6 (forall @t11 (=> @t10 (= @t8 @t15)))) % 23.13/23.31 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t8 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 23.13/23.31 (assume @p8 @t25) % 23.13/23.31 (assume @p9 @t28) % 23.13/23.31 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t7 @t16)))))) % 23.13/23.31 (assume @p11 @t33) % 23.13/23.31 (assume @p12 @t38) % 23.13/23.31 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t40)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t26 @t39)))))) % 23.13/23.31 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t8 @t43) (= @t15 @t42)) @t41)))) % 23.13/23.31 (assume @p15 @t55) % 23.13/23.31 (assume @p16 (forall @t11 (=> @t10 (=> (= @t8 tptp.sz00) (and @t51 @t56))))) % 23.13/23.31 (assume @p17 @t60) % 23.13/23.31 (assume @p18 (forall @t11 (=> @t10 (= @t63 (exists @t62 @t61))))) % 23.13/23.31 (assume @p19 (forall @t11 (=> @t10 (=> @t63 (forall @t62 (= (= @t16 (tptp.sdtmndt0 @t7 @t1)) @t61)))))) % 23.13/23.31 (assume @p20 @t65) % 23.13/23.31 (assume @p21 @t70) % 23.13/23.31 (assume @p22 (forall @t20 (=> @t19 (=> (and @t63 @t71) (tptp.sdtlseqdt0 @t1 @t16))))) % 23.13/23.31 (assume @p23 @t77) % 23.13/23.31 (assume @p24 (forall @t11 (=> @t10 (=> @t80 (forall @t62 (=> @t18 (and (not (= @t42 @t78)) (tptp.sdtlseqdt0 @t42 @t78) (not (= @t43 @t17)) (tptp.sdtlseqdt0 @t43 @t17)))))))) % 23.13/23.31 (assume @p25 (forall @t20 (=> @t19 (=> (and @t52 (not @t41) @t71) (and @t82 (tptp.sdtlseqdt0 @t12 @t40) @t81 (tptp.sdtlseqdt0 @t26 @t39)))))) % 23.13/23.31 (assume @p26 (forall @t3 (=> @t2 (or @t51 @t83 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 23.13/23.31 (assume @p27 @t86) % 23.13/23.31 (assume @p28 (forall @t11 (=> @t10 (=> @t87 true)))) % 23.13/23.31 (assume @p29 (forall @t11 (=> @t10 (=> @t80 @t87)))) % 23.13/23.31 (assume @p30 (forall @t11 (=> @t10 (= @t89 (exists @t62 @t88))))) % 23.13/23.31 (assume @p31 @t96) % 23.13/23.31 (assume @p32 (forall @t20 (=> @t19 (=> (and @t89 (tptp.doDivides0 @t7 @t16)) @t97)))) % 23.13/23.31 (assume @p33 (forall @t20 (=> @t19 (=> (and @t89 @t97) @t98)))) % 23.13/23.31 (assume @p34 @t101) % 23.13/23.31 (assume @p35 (forall @t11 (=> @t10 (=> (and @t89 @t102) @t63)))) % 23.13/23.31 (assume @p36 (forall @t11 (=> @t10 (=> @t93 (forall @t62 (=> @t18 (= (tptp.sdtasdt0 @t16 @t90) (tptp.sdtsldt0 (tptp.sdtasdt0 @t16 @t7) @t1)))))))) % 23.13/23.31 (assume @p37 @t114) % 23.13/23.31 (assume @p38 @t120) % 23.13/23.31 (assume @p39 (forall @t20 (=> @t19 (=> (and @t121 (tptp.doDivides0 @t16 @t12)) (or (tptp.doDivides0 @t16 @t1) (tptp.doDivides0 @t16 @t7)))))) % 23.13/23.31 (assume @p40 (and @t126 @t125 @t124 @t123 (not (= tptp.xm tptp.sz00)) (not @t122))) % 23.13/23.31 (assume @p41 (forall @t20 (=> (and @t2 @t9 @t18 @t52 @t102 (not (= @t16 tptp.sz00))) (=> (= (tptp.sdtasdt0 @t16 (tptp.sdtasdt0 @t7 @t7)) (tptp.sdtasdt0 @t1 @t1)) (=> (tptp.iLess0 @t1 tptp.xn) (not (or (and (not (= @t16 tptp.sz10)) (forall (@list @t127) (=> (and (tptp.aNaturalNumber0 @t127) (exists (@list @t128) (and (tptp.aNaturalNumber0 @t128) (= @t16 (tptp.sdtasdt0 @t127 @t128)))) (tptp.doDivides0 @t127 @t16)) (or (= @t127 tptp.sz10) (= @t127 @t16))))) @t121))))))) % 23.13/23.31 (assume @p42 @t132) % 23.13/23.31 (assume @p43 (and (not @t142) @t141 (tptp.isPrime0 tptp.xp))) % 23.13/23.31 (assume @p44 (and @t146 (tptp.doDivides0 tptp.xp @t129) (exists @t3 (and @t2 (= tptp.xn @t143))) (tptp.doDivides0 tptp.xp tptp.xn))) % 23.13/23.31 (assume @p45 (and @t148 (= tptp.xn @t147) (= tptp.xq (tptp.sdtsldt0 tptp.xn tptp.xp)))) % 23.13/23.31 (assume @p46 (= @t130 @t150)) % 23.13/23.31 (assume @p47 @t161) % 23.13/23.31 (assume @p48 @t169) % 23.13/23.31 (assume @p49 true) % 23.13/23.31 (step @p50 :rule eq-symm :args (@t170 @t143)) % 23.13/23.31 (step @p51 :rule cong :premises (@p50) :args (@t171)) % 23.13/23.31 (step @p52 :rule refl :args (@t172)) % 23.13/23.31 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t173)) % 23.13/23.31 (step @p54 :rule cong :premises (@p53) :args (@t174)) % 23.13/23.31 (step @p55 :rule cong :premises (@p54) :args ((not @t174))) % 23.13/23.31 (step @p56 :rule refl :args (@t143)) % 23.13/23.31 (step @p57 :rule and_elim :premises (@p45) :args (1)) % 23.13/23.31 (step @p58 :rule cong :premises (@p57 @p57) :args (@t129)) % 23.13/23.31 (step @p59 :rule cong :premises (@p58 @p56) :args (@t144)) % 23.13/23.31 (step @p60 :rule cong :premises (@p59) :args (@t175)) % 23.13/23.31 (step @p61 :rule nary_cong :premises (@p52 @p60) :args (@t176)) % 23.13/23.31 (step @p62 :rule cong :premises (@p61) :args (@t177)) % 23.13/23.31 (step @p63 :rule cong :premises (@p62) :args ((not @t177))) % 23.13/23.31 (step @p64 :rule trans :premises (@p63 @p55)) % 23.13/23.31 (step @p65 :rule bool-and-de-morgan :args (@t2 @t144 true)) % 23.13/23.31 (step @p66 :rule cong :premises (@p65) :args (@t178)) % 23.13/23.31 (step @p67 :rule cong :premises (@p66) :args (@t179)) % 23.13/23.31 (step @p68 :rule exists-elim :args ((= @t146 @t179))) % 23.13/23.31 (step @p69 :rule trans :premises (@p68 @p67)) % 23.13/23.31 (step @p70 :rule trans :premises (@p69 @p64)) % 23.13/23.31 (step @p71 :rule and_elim :premises (@p44) :args (0)) % 23.13/23.31 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 23.13/23.31 (step @p73 :rule refl :args (@t188)) % 23.13/23.31 (step @p74 :rule bool-double-not-elim :args (@t180)) % 23.13/23.31 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t189) @t188))) % 23.13/23.31 (step @p76 :rule eq-symm :args (@t182 @t170)) % 23.13/23.31 (step @p77 :rule cong :premises (@p76) :args (@t190)) % 23.13/23.31 (step @p78 :rule refl :args (@t186)) % 23.13/23.31 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t191)) % 23.13/23.31 (step @p80 :rule cong :premises (@p79) :args (@t192)) % 23.13/23.31 (step @p81 :rule refl :args (@t189)) % 23.13/23.31 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t189 @t192))) % 23.13/23.31 (assume-push @p1098 @t189) % 23.13/23.31 (step @p84 :rule skolemize :premises (@p72)) % 23.13/23.31 (step-pop @p1099 :rule scope :premises (@p84)) % 23.13/23.31 (step @p85 :rule process_scope :premises (@p1099) :args (@t192)) % 23.13/23.31 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 23.13/23.31 (step @p88 :rule implies_elim :premises (@p87)) % 23.13/23.31 (step @p89 :rule eq_resolve :premises (@p88 @p75)) % 23.13/23.31 (step @p90 :rule chain_m_resolution :premises (@p89 @p72) :args (@t188 @t193 (@list @t180))) % 23.13/23.31 (step @p91 :rule bool-double-not-elim :args (@t185)) % 23.13/23.31 (step @p92 :rule refl :args (@t187)) % 23.13/23.31 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t187 (not @t186)))) % 23.13/23.31 (step @p94 :rule cnf_or_neg :args (@t187 0)) % 23.13/23.31 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 23.13/23.31 (step @p96 :rule reordering :premises (@p95) :args ((or @t185 @t187))) % 23.13/23.31 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t185 @t193 @t194)) % 23.13/23.31 (step @p98 :rule aci_norm :args ((= (or @t196 @t13) (or @t172 @t195 @t13)))) % 23.13/23.31 (step @p99 :rule refl :args (@t13)) % 23.13/23.31 (step @p100 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 23.13/23.31 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t197 @t13))) % 23.13/23.31 (step @p102 :rule trans :premises (@p101 @p98)) % 23.13/23.31 (step @p103 :rule bool-impl-elim :args (@t10 @t13)) % 23.13/23.31 (step @p104 :rule trans :premises (@p103 @p102)) % 23.13/23.31 (step @p105 :rule cong :premises (@p104) :args (@t14)) % 23.13/23.31 (step @p106 :rule eq_resolve :premises (@p5 @p105)) % 23.13/23.31 (step @p107 :rule instantiate :premises (@p106) :args (@t198)) % 23.13/23.31 (step @p108 :rule and_elim :premises (@p40) :args (2)) % 23.13/23.31 (step @p109 :rule cnf_or_pos :args (@t201)) % 23.13/23.31 (step @p110 :rule reordering :premises (@p109) :args ((or @t200 @t186 @t199 (not @t201)))) % 23.13/23.31 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p97 @p107) :args (@t199 @t202 (@list @t124 @t185 @t201))) % 23.13/23.31 (step @p112 :rule true_intro :premises (@p111)) % 23.13/23.31 (step @p113 :rule bool-double-not-elim :args (@t183)) % 23.13/23.31 (step @p114 :rule nary_cong :premises (@p92 @p113) :args ((or @t187 (not @t184)))) % 23.13/23.31 (step @p115 :rule cnf_or_neg :args (@t187 1)) % 23.13/23.31 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 23.13/23.31 (step @p117 :rule reordering :premises (@p116) :args ((or @t183 @t187))) % 23.13/23.31 (step @p118 :rule chain_m_resolution :premises (@p117 @p90) :args (@t183 @t193 @t194)) % 23.13/23.31 (step @p119 :rule cong :premises (@p118) :args (@t203)) % 23.13/23.31 (step @p120 :rule trans :premises (@p119 @p112)) % 23.13/23.31 (step @p121 :rule true_elim :premises (@p120)) % 23.13/23.31 (step @p122 :rule aci_norm :args ((= (or @t196 (or @t51 @t84)) @t204))) % 23.13/23.31 (step @p123 :rule refl :args (@t84)) % 23.13/23.31 (step @p124 :rule bool-double-not-elim :args (@t51)) % 23.13/23.31 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t205 @t84))) % 23.13/23.31 (step @p126 :rule bool-impl-elim :args (@t52 @t84)) % 23.13/23.31 (step @p127 :rule trans :premises (@p126 @p125)) % 23.13/23.31 (step @p128 :rule nary_cong :premises (@p100 @p127) :args ((or @t197 @t85))) % 23.13/23.31 (step @p129 :rule trans :premises (@p128 @p122)) % 23.13/23.31 (step @p130 :rule bool-impl-elim :args (@t10 @t85)) % 23.13/23.31 (step @p131 :rule trans :premises (@p130 @p129)) % 23.13/23.31 (step @p132 :rule cong :premises (@p131) :args (@t86)) % 23.13/23.31 (step @p133 :rule eq_resolve :premises (@p27 @p132)) % 23.13/23.31 (step @p134 :rule refl :args (@t207)) % 23.13/23.31 (step @p135 :rule eq-symm :args (tptp.xp tptp.sz00)) % 23.13/23.31 (step @p136 :rule refl :args (@t200)) % 23.13/23.31 (step @p137 :rule nary_cong :premises (@p136 @p78 @p135 @p134) :args (@t208)) % 23.13/23.31 (step @p138 :rule refl :args (@t209)) % 23.13/23.31 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t209 @t208))) % 23.13/23.31 (assume-push @p1100 @t209) % 23.13/23.31 (step @p141 :rule instantiate :premises (@p133) :args (@t198)) % 23.13/23.31 (step-pop @p1101 :rule scope :premises (@p141)) % 23.13/23.31 (step @p142 :rule process_scope :premises (@p1101) :args (@t208)) % 23.13/23.31 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 23.13/23.31 (step @p145 :rule implies_elim :premises (@p144)) % 23.13/23.31 (step @p146 :rule chain_m_resolution :premises (@p145 @p133) :args (@t211 @t212 (@list @t209))) % 23.13/23.31 (step @p147 :rule and_elim :premises (@p40) :args (5)) % 23.13/23.31 (step @p148 :rule symm :premises (@p147)) % 23.13/23.31 (step @p149 :rule cnf_or_pos :args (@t211)) % 23.13/23.31 (step @p150 :rule reordering :premises (@p149) :args ((or @t210 @t200 @t186 @t207 (not @t211)))) % 23.13/23.31 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p108 @p97 @p146) :args (@t207 (@list true false false false) (@list @t210 @t124 @t185 @t211))) % 23.13/23.31 (step @p152 :rule true_intro :premises (@p151)) % 23.13/23.31 (step @p153 :rule refl :args (tptp.xp)) % 23.13/23.31 (step @p154 :rule aci_norm :args ((= @t221 @t219))) % 23.13/23.31 (step @p155 :rule cong :premises (@p154) :args (@t223)) % 23.13/23.31 (step @p156 :rule quant-merge-prenex :args ((= (forall @t3 @t225) @t223))) % 23.13/23.31 (step @p157 :rule alpha_equiv :args (@t226 (@list @t214 @t213) (@list @t7 @t16))) % 23.13/23.31 (step @p158 :rule refl :args (@t51)) % 23.13/23.31 (step @p159 :rule refl :args (@t172)) % 23.13/23.31 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t227)) % 23.13/23.31 (step @p161 :rule quant-miniscope-or :args ((= @t225 @t227))) % 23.13/23.31 (step @p162 :rule trans :premises (@p161 @p160)) % 23.13/23.31 (step @p163 :rule symm :premises (@p162)) % 23.13/23.31 (step @p164 :rule cong :premises (@p163) :args ((forall @t3 @t232))) % 23.13/23.31 (step @p165 :rule trans :premises (@p164 @p156)) % 23.13/23.31 (step @p166 :rule trans :premises (@p165 @p155)) % 23.13/23.31 (step @p167 :rule aci_norm :args ((= (or @t172 (or @t51 @t231)) @t232))) % 23.13/23.31 (step @p168 :rule refl :args (@t231)) % 23.13/23.31 (step @p169 :rule nary_cong :premises (@p124 @p168) :args ((or @t205 @t231))) % 23.13/23.31 (step @p170 :rule bool-impl-elim :args (@t52 @t231)) % 23.13/23.31 (step @p171 :rule trans :premises (@p170 @p169)) % 23.13/23.31 (step @p172 :rule nary_cong :premises (@p159 @p171) :args ((or @t172 @t233))) % 23.13/23.31 (step @p173 :rule trans :premises (@p172 @p167)) % 23.13/23.31 (step @p174 :rule bool-impl-elim :args (@t2 @t233)) % 23.13/23.31 (step @p175 :rule trans :premises (@p174 @p173)) % 23.13/23.31 (step @p176 :rule cong :premises (@p175) :args ((forall @t3 (=> @t2 @t233)))) % 23.13/23.31 (step @p177 :rule trans :premises (@p176 @p166)) % 23.13/23.31 (step @p178 :rule aci_norm :args ((= (or @t234 (or @t228 @t41)) @t230))) % 23.13/23.31 (step @p179 :rule refl :args (@t41)) % 23.13/23.31 (step @p180 :rule bool-or-de-morgan :args (@t45 @t44 false)) % 23.13/23.31 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t46) @t41))) % 23.13/23.31 (step @p182 :rule bool-impl-elim :args (@t46 @t41)) % 23.13/23.31 (step @p183 :rule trans :premises (@p182 @p181)) % 23.13/23.31 (step @p184 :rule bool-and-de-morgan :args (@t9 @t18 true)) % 23.13/23.31 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t235 @t47))) % 23.13/23.31 (step @p186 :rule trans :premises (@p185 @p178)) % 23.13/23.31 (step @p187 :rule bool-impl-elim :args (@t48 @t47)) % 23.13/23.31 (step @p188 :rule trans :premises (@p187 @p186)) % 23.13/23.31 (step @p189 :rule cong :premises (@p188) :args (@t50)) % 23.13/23.31 (step @p190 :rule refl :args (@t52)) % 23.13/23.31 (step @p191 :rule cong :premises (@p190 @p189) :args (@t53)) % 23.13/23.31 (step @p192 :rule refl :args (@t2)) % 23.13/23.31 (step @p193 :rule cong :premises (@p192 @p191) :args (@t54)) % 23.13/23.31 (step @p194 :rule cong :premises (@p193) :args (@t55)) % 23.13/23.31 (step @p195 :rule trans :premises (@p194 @p177)) % 23.13/23.31 (step @p196 :rule eq_resolve :premises (@p15 @p195)) % 23.13/23.31 (step @p197 :rule refl :args (@t236)) % 23.13/23.31 (step @p198 :rule refl :args (@t240)) % 23.13/23.31 (step @p199 :rule refl :args (@t242)) % 23.13/23.31 (step @p200 :rule nary_cong :premises (@p136 @p135 @p199 @p78 @p198 @p197) :args (@t243)) % 23.13/23.31 (step @p201 :rule refl :args (@t244)) % 23.13/23.31 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t244 @t243))) % 23.13/23.31 (assume-push @p1102 @t244) % 23.13/23.31 (step @p204 :rule instantiate :premises (@p196) :args ((@list tptp.xp @t130 @t181))) % 23.13/23.31 (step-pop @p1103 :rule scope :premises (@p204)) % 23.13/23.31 (step @p205 :rule process_scope :premises (@p1103) :args (@t243)) % 23.13/23.31 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 23.13/23.31 (step @p208 :rule implies_elim :premises (@p207)) % 23.13/23.31 (step @p209 :rule chain_m_resolution :premises (@p208 @p196) :args (@t245 @t212 @t246)) % 23.13/23.31 (step @p210 :rule refl :args (@t131)) % 23.13/23.31 (step @p211 :rule cong :premises (@p210 @p58) :args (@t132)) % 23.13/23.31 (step @p212 :rule eq_resolve :premises (@p42 @p211)) % 23.13/23.31 (step @p213 :rule trans :premises (@p212 @p118)) % 23.13/23.31 (step @p214 :rule cnf_and_pos :args (@t240 0)) % 23.13/23.31 (step @p215 :rule reordering :premises (@p214) :args ((or @t239 @t247))) % 23.13/23.31 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t247 @t212 (@list @t238))) % 23.13/23.31 (step @p217 :rule instantiate :premises (@p106) :args ((@list tptp.xp @t149))) % 23.13/23.31 (step @p218 :rule instantiate :premises (@p106) :args ((@list tptp.xq tptp.xq))) % 23.13/23.31 (step @p219 :rule and_elim :premises (@p45) :args (0)) % 23.13/23.31 (step @p220 :rule cnf_or_pos :args (@t250)) % 23.13/23.31 (step @p221 :rule factoring :premises (@p220)) % 23.13/23.31 (step @p222 :rule reordering :premises (@p221) :args ((or @t249 @t248 (not @t250)))) % 23.13/23.31 (step @p223 :rule chain_m_resolution :premises (@p222 @p219 @p218) :args (@t248 @t251 (@list @t148 @t250))) % 23.13/23.31 (step @p224 :rule cnf_or_pos :args (@t254)) % 23.13/23.31 (step @p225 :rule reordering :premises (@p224) :args ((or @t200 @t253 @t252 (not @t254)))) % 23.13/23.31 (step @p226 :rule chain_m_resolution :premises (@p225 @p108 @p223 @p217) :args (@t252 @t202 (@list @t124 @t248 @t254))) % 23.13/23.31 (step @p227 :rule true_intro :premises (@p226)) % 23.13/23.31 (step @p228 :rule cong :premises (@p46) :args (@t241)) % 23.13/23.31 (step @p229 :rule trans :premises (@p228 @p227)) % 23.13/23.31 (step @p230 :rule true_elim :premises (@p229)) % 23.13/23.31 (step @p231 :rule cnf_or_pos :args (@t245)) % 23.13/23.31 (step @p232 :rule reordering :premises (@p231) :args ((or @t210 @t200 @t186 @t242 @t240 @t236 (not @t245)))) % 23.13/23.31 (step @p233 :rule chain_m_resolution :premises (@p232 @p148 @p108 @p97 @p230 @p216 @p209) :args (@t236 @t255 (@list @t210 @t124 @t185 @t241 @t240 @t245))) % 23.13/23.31 (step @p234 :rule cong :premises (@p233 @p153) :args (@t237)) % 23.13/23.31 (step @p235 :rule aci_norm :args ((= (or @t196 @t27) (or @t172 @t195 @t27)))) % 23.13/23.31 (step @p236 :rule refl :args (@t27)) % 23.13/23.31 (step @p237 :rule nary_cong :premises (@p100 @p236) :args ((or @t197 @t27))) % 23.13/23.31 (step @p238 :rule trans :premises (@p237 @p235)) % 23.13/23.31 (step @p239 :rule bool-impl-elim :args (@t10 @t27)) % 23.13/23.31 (step @p240 :rule trans :premises (@p239 @p238)) % 23.13/23.31 (step @p241 :rule cong :premises (@p240) :args (@t28)) % 23.13/23.31 (step @p242 :rule eq_resolve :premises (@p9 @p241)) % 23.13/23.31 (step @p243 :rule instantiate :premises (@p242) :args ((@list tptp.xp @t130))) % 23.13/23.31 (step @p244 :rule cnf_or_pos :args (@t257)) % 23.13/23.31 (step @p245 :rule reordering :premises (@p244) :args ((or @t200 @t242 @t256 (not @t257)))) % 23.13/23.31 (step @p246 :rule chain_m_resolution :premises (@p245 @p108 @p230 @p243) :args (@t256 @t202 (@list @t124 @t241 @t257))) % 23.13/23.31 (step @p247 :rule symm :premises (@p212)) % 23.13/23.31 (step @p248 :rule trans :premises (@p247 @p246 @p234)) % 23.13/23.31 (step @p249 :rule refl :args (@t181)) % 23.13/23.31 (step @p250 :rule cong :premises (@p249 @p248) :args (@t258)) % 23.13/23.31 (step @p251 :rule trans :premises (@p250 @p152)) % 23.13/23.31 (step @p252 :rule true_elim :premises (@p251)) % 23.13/23.31 (step @p253 :rule aci_norm :args ((= (or @t196 @t262) @t261))) % 23.13/23.31 (step @p254 :rule aci_norm :args ((= (or (or @t260 @t259) @t66) @t262))) % 23.13/23.31 (step @p255 :rule refl :args (@t66)) % 23.13/23.31 (step @p256 :rule bool-and-de-morgan :args (@t63 @t67 true)) % 23.13/23.31 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or (not @t68) @t66))) % 23.13/23.31 (step @p258 :rule trans :premises (@p257 @p254)) % 23.13/23.31 (step @p259 :rule bool-impl-elim :args (@t68 @t66)) % 23.13/23.31 (step @p260 :rule trans :premises (@p259 @p258)) % 23.13/23.31 (step @p261 :rule nary_cong :premises (@p100 @p260) :args ((or @t197 @t69))) % 23.13/23.31 (step @p262 :rule trans :premises (@p261 @p253)) % 23.13/23.31 (step @p263 :rule bool-impl-elim :args (@t10 @t69)) % 23.13/23.31 (step @p264 :rule trans :premises (@p263 @p262)) % 23.13/23.31 (step @p265 :rule cong :premises (@p264) :args (@t70)) % 23.13/23.31 (step @p266 :rule eq_resolve :premises (@p21 @p265)) % 23.13/23.31 (step @p267 :rule eq-symm :args (@t181 @t170)) % 23.13/23.31 (step @p268 :rule refl :args (@t264)) % 23.13/23.31 (step @p269 :rule refl :args (@t265)) % 23.13/23.31 (step @p270 :rule refl :args (@t266)) % 23.13/23.31 (step @p271 :rule nary_cong :premises (@p78 @p270 @p269 @p268 @p267) :args (@t267)) % 23.13/23.31 (step @p272 :rule refl :args (@t268)) % 23.13/23.31 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t268 @t267))) % 23.13/23.31 (assume-push @p1104 @t268) % 23.13/23.31 (step @p275 :rule instantiate :premises (@p266) :args ((@list @t181 @t170))) % 23.13/23.31 (step-pop @p1105 :rule scope :premises (@p275)) % 23.13/23.31 (step @p276 :rule process_scope :premises (@p1105) :args (@t267)) % 23.13/23.31 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 23.13/23.31 (step @p279 :rule implies_elim :premises (@p278)) % 23.13/23.31 (step @p280 :rule chain_m_resolution :premises (@p279 @p266) :args (@t270 @t212 (@list @t268))) % 23.13/23.31 (step @p281 :rule refl :args (@t271)) % 23.13/23.31 (step @p282 :rule eq-symm :args (@t272 @t182)) % 23.13/23.31 (step @p283 :rule cong :premises (@p282) :args (@t273)) % 23.13/23.31 (step @p284 :rule eq-symm :args (@t274 @t206)) % 23.13/23.31 (step @p285 :rule cong :premises (@p284) :args (@t275)) % 23.13/23.31 (step @p286 :rule nary_cong :premises (@p285 @p283) :args (@t276)) % 23.13/23.31 (step @p287 :rule refl :args (@t277)) % 23.13/23.31 (step @p288 :rule eq-symm :args (@t181 tptp.sz00)) % 23.13/23.31 (step @p289 :rule nary_cong :premises (@p78 @p288 @p287 @p136 @p286 @p281) :args (@t278)) % 23.13/23.31 (step @p290 :rule cong :premises (@p201 @p289) :args ((=> @t244 @t278))) % 23.13/23.31 (assume-push @p1106 @t244) % 23.13/23.31 (step @p292 :rule instantiate :premises (@p196) :args ((@list @t181 tptp.sz10 tptp.xp))) % 23.13/23.31 (step-pop @p1107 :rule scope :premises (@p292)) % 23.13/23.31 (step @p293 :rule process_scope :premises (@p1107) :args (@t278)) % 23.13/23.31 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 23.13/23.31 (step @p296 :rule implies_elim :premises (@p295)) % 23.13/23.31 (step @p297 :rule chain_m_resolution :premises (@p296 @p196) :args (@t284 @t212 @t246)) % 23.13/23.31 (step @p298 :rule eq-symm :args (@t285 @t90)) % 23.13/23.31 (step @p299 :rule refl :args (@t286)) % 23.13/23.31 (step @p300 :rule cong :premises (@p299 @p298) :args (@t287)) % 23.13/23.31 (step @p301 :rule refl :args (@t288)) % 23.13/23.31 (step @p302 :rule refl :args (@t51)) % 23.13/23.31 (step @p303 :rule refl :args (@t195)) % 23.13/23.31 (step @p304 :rule nary_cong :premises (@p52 @p303 @p302 @p301 @p300) :args (@t289)) % 23.13/23.31 (step @p305 :rule cong :premises (@p304) :args (@t291)) % 23.13/23.31 (step @p306 :rule quant-merge-prenex :args ((= (forall @t11 @t293) @t291))) % 23.13/23.31 (step @p307 :rule alpha_equiv :args (@t294 (@list @t285) (@list @t16))) % 23.13/23.31 (step @p308 :rule refl :args (@t288)) % 23.13/23.31 (step @p309 :rule refl :args (@t195)) % 23.13/23.31 (step @p310 :rule nary_cong :premises (@p159 @p309 @p158 @p308 @p307) :args (@t295)) % 23.13/23.31 (step @p311 :rule quant-miniscope-or :args ((= @t293 @t295))) % 23.13/23.31 (step @p312 :rule trans :premises (@p311 @p310)) % 23.13/23.31 (step @p313 :rule symm :premises (@p312)) % 23.13/23.31 (step @p314 :rule cong :premises (@p313) :args ((forall @t11 @t297))) % 23.13/23.31 (step @p315 :rule trans :premises (@p314 @p306)) % 23.13/23.31 (step @p316 :rule trans :premises (@p315 @p305)) % 23.13/23.31 (step @p317 :rule aci_norm :args ((= (or @t196 @t298) @t297))) % 23.13/23.31 (step @p318 :rule aci_norm :args ((= (or (or @t51 @t288) @t296) @t298))) % 23.13/23.31 (step @p319 :rule refl :args (@t296)) % 23.13/23.31 (step @p320 :rule nary_cong :premises (@p124 @p308) :args ((or @t205 @t288))) % 23.13/23.31 (step @p321 :rule bool-and-de-morgan :args (@t52 @t89 true)) % 23.13/23.31 (step @p322 :rule trans :premises (@p321 @p320)) % 23.13/23.31 (step @p323 :rule nary_cong :premises (@p322 @p319) :args ((or (not @t93) @t296))) % 23.13/23.31 (step @p324 :rule trans :premises (@p323 @p318)) % 23.13/23.31 (step @p325 :rule bool-impl-elim :args (@t93 @t296)) % 23.13/23.31 (step @p326 :rule trans :premises (@p325 @p324)) % 23.13/23.31 (step @p327 :rule nary_cong :premises (@p100 @p326) :args ((or @t197 @t299))) % 23.13/23.31 (step @p328 :rule trans :premises (@p327 @p317)) % 23.13/23.31 (step @p329 :rule bool-impl-elim :args (@t10 @t299)) % 23.13/23.31 (step @p330 :rule trans :premises (@p329 @p328)) % 23.13/23.31 (step @p331 :rule cong :premises (@p330) :args ((forall @t11 (=> @t10 @t299)))) % 23.13/23.31 (step @p332 :rule trans :premises (@p331 @p316)) % 23.13/23.31 (step @p333 :rule eq-symm :args (@t91 @t88)) % 23.13/23.31 (step @p334 :rule cong :premises (@p333) :args (@t92)) % 23.13/23.31 (step @p335 :rule refl :args (@t93)) % 23.13/23.31 (step @p336 :rule cong :premises (@p335 @p334) :args (@t94)) % 23.13/23.31 (step @p337 :rule refl :args (@t10)) % 23.13/23.31 (step @p338 :rule cong :premises (@p337 @p336) :args (@t95)) % 23.13/23.31 (step @p339 :rule cong :premises (@p338) :args (@t96)) % 23.13/23.31 (step @p340 :rule trans :premises (@p339 @p332)) % 23.13/23.31 (step @p341 :rule eq_resolve :premises (@p31 @p340)) % 23.13/23.31 (step @p342 :rule eq-symm :args (@t300 @t181)) % 23.13/23.31 (step @p343 :rule refl :args (@t302)) % 23.13/23.31 (step @p344 :rule cong :premises (@p343 @p342) :args (@t303)) % 23.13/23.31 (step @p345 :rule refl :args (@t305)) % 23.13/23.31 (step @p346 :rule refl :args (@t306)) % 23.13/23.31 (step @p347 :rule nary_cong :premises (@p136 @p346 @p135 @p345 @p344) :args (@t307)) % 23.13/23.31 (step @p348 :rule refl :args (@t308)) % 23.13/23.31 (step @p349 :rule cong :premises (@p348 @p347) :args ((=> @t308 @t307))) % 23.13/23.31 (assume-push @p1108 @t308) % 23.13/23.31 (step @p351 :rule instantiate :premises (@p341) :args ((@list tptp.xp tptp.sz00 @t181))) % 23.13/23.31 (step-pop @p1109 :rule scope :premises (@p351)) % 23.13/23.31 (step @p352 :rule process_scope :premises (@p1109) :args (@t307)) % 23.13/23.31 (step @p354 :rule eq_resolve :premises (@p352 @p349)) % 23.13/23.31 (step @p355 :rule implies_elim :premises (@p354)) % 23.13/23.31 (step @p356 :rule chain_m_resolution :premises (@p355 @p341) :args (@t311 @t212 @t312)) % 23.13/23.31 (step @p357 :rule aci_norm :args ((= (or @t315 @t314) (or @t172 @t195 @t229 @t288 @t313 @t97)))) % 23.13/23.31 (step @p358 :rule aci_norm :args ((= (or (or @t288 @t313) @t97) @t314))) % 23.13/23.31 (step @p359 :rule refl :args (@t97)) % 23.13/23.31 (step @p360 :rule bool-and-de-morgan :args (@t89 @t98 true)) % 23.13/23.31 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t99) @t97))) % 23.13/23.31 (step @p362 :rule trans :premises (@p361 @p358)) % 23.13/23.31 (step @p363 :rule bool-impl-elim :args (@t99 @t97)) % 23.13/23.31 (step @p364 :rule trans :premises (@p363 @p362)) % 23.13/23.31 (step @p365 :rule aci_norm :args ((= (or @t172 @t234) @t315))) % 23.13/23.31 (step @p366 :rule nary_cong :premises (@p159 @p184) :args ((or @t172 @t235))) % 23.13/23.31 (step @p367 :rule bool-and-de-morgan :args (@t2 @t9 (and @t18))) % 23.13/23.31 (step @p368 :rule trans :premises (@p367 @p366)) % 23.13/23.31 (step @p369 :rule trans :premises (@p368 @p365)) % 23.13/23.31 (step @p370 :rule nary_cong :premises (@p369 @p364) :args ((or (not @t19) @t100))) % 23.13/23.31 (step @p371 :rule trans :premises (@p370 @p357)) % 23.13/23.31 (step @p372 :rule bool-impl-elim :args (@t19 @t100)) % 23.13/23.31 (step @p373 :rule trans :premises (@p372 @p371)) % 23.13/23.31 (step @p374 :rule cong :premises (@p373) :args (@t101)) % 23.13/23.31 (step @p375 :rule eq_resolve :premises (@p34 @p374)) % 23.13/23.31 (step @p376 :rule instantiate :premises (@p375) :args ((@list tptp.xp tptp.xp tptp.sz00))) % 23.13/23.31 (step @p377 :rule bool-impl-elim :args (@t2 @t316)) % 23.13/23.31 (step @p378 :rule cong :premises (@p377) :args ((forall @t3 (=> @t2 @t316)))) % 23.13/23.31 (step @p379 :rule refl :args (@t21)) % 23.13/23.31 (step @p380 :rule eq-symm :args (@t22 @t1)) % 23.13/23.31 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t23)) % 23.13/23.31 (step @p382 :rule cong :premises (@p192 @p381) :args (@t24)) % 23.13/23.31 (step @p383 :rule cong :premises (@p382) :args (@t25)) % 23.13/23.31 (step @p384 :rule trans :premises (@p383 @p378)) % 23.13/23.31 (step @p385 :rule eq_resolve :premises (@p8 @p384)) % 23.13/23.31 (step @p386 :rule instantiate :premises (@p385) :args (@t317)) % 23.13/23.31 (step @p387 :rule cnf_or_pos :args (@t321)) % 23.13/23.31 (step @p388 :rule reordering :premises (@p387) :args ((or @t200 @t320 (not @t321)))) % 23.13/23.31 (step @p389 :rule chain_m_resolution :premises (@p388 @p108 @p386) :args (@t320 @t251 (@list @t124 @t321))) % 23.13/23.31 (step @p390 :rule cnf_and_pos :args (@t320 0)) % 23.13/23.31 (step @p391 :rule reordering :premises (@p390) :args ((or @t319 (not @t320)))) % 23.13/23.31 (step @p392 :rule chain_m_resolution :premises (@p391 @p389) :args (@t319 @t212 (@list @t320))) % 23.13/23.31 (step @p393 :rule refl :args (@t133)) % 23.13/23.31 (step @p394 :rule refl :args (@t83)) % 23.13/23.31 (step @p395 :rule refl :args (@t322)) % 23.13/23.31 (step @p396 :rule eq-symm :args (@t324 tptp.xp)) % 23.13/23.31 (step @p397 :rule cong :premises (@p396) :args (@t325)) % 23.13/23.31 (step @p398 :rule refl :args (@t326)) % 23.13/23.31 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t327)) % 23.13/23.31 (step @p400 :rule nary_cong :premises (@p399 @p395) :args (@t328)) % 23.13/23.31 (step @p401 :rule nary_cong :premises (@p52 @p400 @p394 @p393) :args (@t329)) % 23.13/23.31 (step @p402 :rule cong :premises (@p401) :args (@t331)) % 23.13/23.31 (step @p403 :rule quant-merge-prenex :args ((= (forall @t3 @t333) @t331))) % 23.13/23.31 (step @p404 :rule refl :args (@t133)) % 23.13/23.31 (step @p405 :rule refl :args (@t83)) % 23.13/23.31 (step @p406 :rule quant-unused-vars :args ((= @t334 @t322))) % 23.13/23.31 (step @p407 :rule alpha_equiv :args (@t335 (@list @t323) (@list @t7))) % 23.13/23.31 (step @p408 :rule 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(@p421 @p420) :args ((and (not @t343) @t322))) % 23.13/23.31 (step @p423 :rule bool-or-de-morgan :args (@t343 @t135 false)) % 23.13/23.31 (step @p424 :rule trans :premises (@p423 @p422)) % 23.13/23.31 (step @p425 :rule nary_cong :premises (@p159 @p424) :args ((or @t172 (not @t344)))) % 23.13/23.31 (step @p426 :rule bool-and-de-morgan :args (@t2 @t344 true)) % 23.13/23.31 (step @p427 :rule trans :premises (@p426 @p425)) % 23.13/23.31 (step @p428 :rule nary_cong :premises (@p427 @p419) :args ((or (not @t345) @t134))) % 23.13/23.31 (step @p429 :rule trans :premises (@p428 @p418)) % 23.13/23.31 (step @p430 :rule bool-impl-elim :args (@t345 @t134)) % 23.13/23.31 (step @p431 :rule trans :premises (@p430 @p429)) % 23.13/23.31 (step @p432 :rule cong :premises (@p431) :args ((forall @t3 (=> @t345 @t134)))) % 23.13/23.31 (step @p433 :rule trans :premises (@p432 @p417)) % 23.13/23.31 (step @p434 :rule refl :args (@t134)) % 23.13/23.31 (step @p435 :rule refl :args (@t135)) % 23.13/23.31 (step 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23.13/23.31 (step @p465 :rule implies_elim :premises (@p464)) % 23.13/23.31 (step @p466 :rule chain_m_resolution :premises (@p465 @p452) :args (@t361 @t212 (@list @t358))) % 23.13/23.31 (step @p467 :rule aci_norm :args ((= (or (or @t172 @t51 @t83) @t364) @t365))) % 23.13/23.31 (step @p468 :rule refl :args (@t364)) % 23.13/23.31 (step @p469 :rule bool-double-not-elim :args (@t83)) % 23.13/23.31 (step @p470 :rule nary_cong :premises (@p159 @p124 @p469) :args (@t367)) % 23.13/23.31 (step @p471 :rule aci_norm :args ((= (or @t172 (or @t205 @t366)) @t367))) % 23.13/23.31 (step @p472 :rule trans :premises (@p471 @p470)) % 23.13/23.31 (step @p473 :rule bool-and-de-morgan :args (@t52 @t109 true)) % 23.13/23.31 (step @p474 :rule nary_cong :premises (@p159 @p473) :args ((or @t172 (not (and @t52 @t109))))) % 23.13/23.31 (step @p475 :rule bool-and-de-morgan :args (@t2 @t52 (and @t109))) % 23.13/23.31 (step @p476 :rule trans :premises (@p475 @p474)) % 23.13/23.31 (step @p477 :rule trans :premises 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(step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t376 (not @t375)))) % 23.13/23.31 (step @p519 :rule cnf_or_neg :args (@t376 2)) % 23.13/23.31 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 23.13/23.31 (step @p521 :rule reordering :premises (@p520) :args ((or @t374 @t376))) % 23.13/23.31 (step @p522 :rule chain_m_resolution :premises (@p521 @p515) :args (@t374 @t193 @t377)) % 23.13/23.31 (step @p523 :rule bool-impl-elim :args (@t2 @t380)) % 23.13/23.31 (step @p524 :rule cong :premises (@p523) :args ((forall @t3 (=> @t2 @t380)))) % 23.13/23.31 (step @p525 :rule aci_norm :args ((= (or (or @t195 @t362) @t381) @t379))) % 23.13/23.31 (step @p526 :rule refl :args (@t381)) % 23.13/23.31 (step @p527 :rule bool-and-de-morgan :args (@t9 @t104 true)) % 23.13/23.31 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or (not @t105) @t381))) % 23.13/23.31 (step @p529 :rule trans :premises (@p528 @p525)) % 23.13/23.31 (step @p530 :rule bool-impl-elim :args (@t105 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:rule cong :premises (@p544) :args (@t114)) % 23.13/23.31 (step @p546 :rule trans :premises (@p545 @p524)) % 23.13/23.31 (step @p547 :rule eq_resolve :premises (@p37 @p546)) % 23.13/23.31 (step @p548 :rule bool-eq-false :args (@t382)) % 23.13/23.31 (step @p549 :rule absorb :args ((= (and (not (= tptp.sz00 tptp.sz10)) false (forall @t107 @t384)) false))) % 23.13/23.31 (step @p550 :rule aci_norm :args ((= @t385 @t384))) % 23.13/23.31 (step @p551 :rule cong :premises (@p550) :args (@t386)) % 23.13/23.31 (step @p552 :rule evaluate :args ((not true))) % 23.13/23.31 (step @p553 :rule eq-refl :args (tptp.sz10)) % 23.13/23.31 (step @p554 :rule cong :premises (@p553) :args (@t387)) % 23.13/23.31 (step @p555 :rule trans :premises (@p554 @p552)) % 23.13/23.31 (step @p556 :rule eq-symm :args (tptp.sz10 tptp.sz00)) % 23.13/23.31 (step @p557 :rule cong :premises (@p556) :args (@t5)) % 23.13/23.31 (step @p558 :rule nary_cong :premises (@p557 @p555 @p551) :args (@t388)) % 23.13/23.31 (step @p559 :rule trans :premises (@p558 @p549)) % 23.13/23.31 (step @p560 :rule refl :args (@t382)) % 23.13/23.31 (step @p561 :rule cong :premises (@p560 @p559) :args (@t389)) % 23.13/23.31 (step @p562 :rule trans :premises (@p561 @p548)) % 23.13/23.31 (step @p563 :rule nary_cong :premises (@p287 @p562) :args (@t390)) % 23.13/23.31 (step @p564 :rule refl :args (@t391)) % 23.13/23.31 (step @p565 :rule cong :premises (@p564 @p563) :args ((=> @t391 @t390))) % 23.13/23.31 (assume-push @p1114 @t391) % 23.13/23.31 (step @p567 :rule instantiate :premises (@p547) :args (@t392)) % 23.13/23.31 (step-pop @p1115 :rule scope :premises (@p567)) % 23.13/23.31 (step @p568 :rule process_scope :premises (@p1115) :args (@t390)) % 23.13/23.31 (step @p570 :rule eq_resolve :premises (@p568 @p565)) % 23.13/23.31 (step @p571 :rule implies_elim :premises (@p570)) % 23.13/23.31 (step @p572 :rule chain_m_resolution :premises (@p571 @p547) :args (@t394 @t212 (@list @t391))) % 23.13/23.31 (step @p573 :rule and_elim :premises (@p3) 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@p617 :rule chain_m_resolution :premises (@p616 @p614) :args (@t398 @t212 (@list @t352))) % 23.13/23.31 (step @p618 :rule bool-double-not-elim :args (@t355)) % 23.13/23.31 (step @p619 :rule nary_cong :premises (@p517 @p618) :args ((or @t376 (not @t356)))) % 23.13/23.31 (step @p620 :rule cnf_or_neg :args (@t376 0)) % 23.13/23.31 (step @p621 :rule eq_resolve :premises (@p620 @p619)) % 23.13/23.31 (step @p622 :rule reordering :premises (@p621) :args ((or @t355 @t376))) % 23.13/23.31 (step @p623 :rule chain_m_resolution :premises (@p622 @p515) :args (@t355 @t193 @t377)) % 23.13/23.31 (step @p624 :rule cnf_or_pos :args (@t361)) % 23.13/23.31 (step @p625 :rule reordering :premises (@p624) :args ((or @t356 @t354 @t360 @t359 (not @t361)))) % 23.13/23.31 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p617 @p608 @p466) :args (@t359 (@list false true true false) (@list @t355 @t354 @t360 @t361))) % 23.13/23.31 (assume-push @p1128 @t352) % 23.13/23.31 (assume-push @p1129 @t359) % 23.13/23.31 (assume-push @p1130 @t319) % 23.13/23.31 (assume-push @p1131 @t352) % 23.13/23.31 (assume-push @p1132 @t359) % 23.13/23.31 (assume-push @p1133 @t319) % 23.13/23.31 (step @p633 :rule true_intro :premises (@p614)) % 23.13/23.31 (step @p634 :rule symm :premises (@p392)) % 23.13/23.31 (step @p635 :rule cong :premises (@p1129 @p634) :args (@t399)) % 23.13/23.31 (step @p636 :rule trans :premises (@p635 @p633)) % 23.13/23.31 (step @p637 :rule true_elim :premises (@p636)) % 23.13/23.31 (step-pop @p1134 :rule scope :premises (@p637)) % 23.13/23.31 (step-pop @p1135 :rule scope :premises (@p1134)) % 23.13/23.31 (step-pop @p1136 :rule scope :premises (@p1135)) % 23.13/23.31 (step @p638 :rule process_scope :premises (@p1136) :args (@t399)) % 23.13/23.31 (step @p642 :rule and_intro :premises (@p614 @p1129 @p392)) % 23.13/23.31 (step @p643 :rule modus_ponens :premises (@p642 @p638)) % 23.13/23.31 (step-pop @p1137 :rule scope :premises (@p643)) % 23.13/23.31 (step-pop @p1138 :rule scope 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23.13/23.31 (step-pop @p1145 :rule scope :premises (@p1144)) % 23.13/23.31 (step @p659 :rule process_scope :premises (@p1145) :args (@t401)) % 23.13/23.31 (step @p662 :rule and_intro :premises (@p614 @p1141)) % 23.13/23.31 (step @p663 :rule modus_ponens :premises (@p662 @p659)) % 23.13/23.31 (step-pop @p1146 :rule scope :premises (@p663)) % 23.13/23.31 (step-pop @p1147 :rule scope :premises (@p1146)) % 23.13/23.31 (step @p664 :rule process_scope :premises (@p1147) :args (@t401)) % 23.13/23.31 (step @p667 :rule implies_elim :premises (@p664)) % 23.13/23.31 (step @p668 :rule cnf_and_neg :args (@t402)) % 23.13/23.31 (step @p669 :rule resolution :premises (@p668 @p667) :args (true @t402)) % 23.13/23.31 (step @p670 :rule chain_m_resolution :premises (@p669 @p614 @p626) :args (@t401 @t251 (@list @t352 @t359))) % 23.13/23.31 (step @p671 :rule cnf_or_pos :args (@t405)) % 23.13/23.31 (step @p672 :rule factoring :premises (@p671)) % 23.13/23.31 (step @p673 :rule reordering :premises (@p672) :args ((or @t306 @t200 @t304 @t404 @t403 (not @t405)))) % 23.13/23.31 (step @p674 :rule chain_m_resolution :premises (@p673 @p2 @p108 @p670 @p651 @p376) :args (@t304 (@list false false false false false) (@list @t4 @t124 @t401 @t399 @t405))) % 23.13/23.31 (step @p675 :rule cnf_or_pos :args (@t311)) % 23.13/23.31 (step @p676 :rule reordering :premises (@p675) :args ((or @t210 @t306 @t200 @t305 @t310 (not @t311)))) % 23.13/23.31 (step @p677 :rule chain_m_resolution :premises (@p676 @p148 @p2 @p108 @p674 @p356) :args (@t310 @t406 (@list @t210 @t4 @t124 @t304 @t311))) % 23.13/23.31 (step @p678 :rule aci_norm :args ((= (or @t196 @t411) @t410))) % 23.13/23.31 (step @p679 :rule aci_norm :args ((= (or @t409 @t412) @t411))) % 23.13/23.31 (step @p680 :rule bool-impl-elim :args (@t408 @t412)) % 23.13/23.31 (step @p681 :rule trans :premises (@p680 @p679)) % 23.13/23.31 (step @p682 :rule nary_cong :premises (@p100 @p681) :args ((or @t197 @t413))) % 23.13/23.31 (step @p683 :rule trans :premises (@p682 @p678)) % 23.13/23.31 (step @p684 :rule bool-impl-elim :args (@t10 @t413)) % 23.13/23.31 (step @p685 :rule trans :premises (@p684 @p683)) % 23.13/23.31 (step @p686 :rule cong :premises (@p685) :args ((forall @t11 (=> @t10 @t413)))) % 23.13/23.31 (step @p687 :rule eq-symm :args (@t7 tptp.sz00)) % 23.13/23.31 (step @p688 :rule nary_cong :premises (@p302 @p687) :args (@t57)) % 23.13/23.31 (step @p689 :rule eq-symm :args (@t12 tptp.sz00)) % 23.13/23.31 (step @p690 :rule cong :premises (@p689 @p688) :args (@t58)) % 23.13/23.31 (step @p691 :rule cong :premises (@p337 @p690) :args (@t59)) % 23.13/23.31 (step @p692 :rule cong :premises (@p691) :args (@t60)) % 23.13/23.31 (step @p693 :rule trans :premises (@p692 @p686)) % 23.13/23.31 (step @p694 :rule eq_resolve :premises (@p17 @p693)) % 23.13/23.31 (step @p695 :rule refl :args (@t414)) % 23.13/23.31 (step @p696 :rule eq-symm :args (@t147 tptp.sz00)) % 23.13/23.31 (step @p697 :rule refl :args (@t415)) % 23.13/23.31 (step @p698 :rule refl :args (@t417)) % 23.13/23.31 (step @p699 :rule nary_cong :premises (@p698 @p698 @p697 @p696 @p695) :args (@t418)) % 23.13/23.31 (step @p700 :rule refl :args (@t419)) % 23.13/23.31 (step @p701 :rule cong :premises (@p700 @p699) :args ((=> @t419 @t418))) % 23.13/23.31 (assume-push @p1148 @t419) % 23.13/23.31 (step @p703 :rule instantiate :premises (@p694) :args ((@list @t147 @t147))) % 23.13/23.31 (step-pop @p1149 :rule scope :premises (@p703)) % 23.13/23.31 (step @p704 :rule process_scope :premises (@p1149) :args (@t418)) % 23.13/23.31 (step @p706 :rule eq_resolve :premises (@p704 @p701)) % 23.13/23.31 (step @p707 :rule implies_elim :premises (@p706)) % 23.13/23.31 (step @p708 :rule chain_m_resolution :premises (@p707 @p694) :args (@t420 @t212 (@list @t419))) % 23.13/23.31 (step @p709 :rule cong :premises (@p57) :args (@t126)) % 23.13/23.31 (step @p710 :rule and_elim :premises (@p40) :args (0)) % 23.13/23.31 (step @p711 :rule eq_resolve :premises (@p710 @p709)) % 23.13/23.31 (step @p712 :rule refl :args (tptp.sz00)) % 23.13/23.31 (step @p713 :rule cong :premises (@p712 @p57) :args (@t421)) % 23.13/23.31 (step @p714 :rule cong :premises (@p713) :args ((not @t421))) % 23.13/23.31 (step @p715 :rule eq-symm :args (tptp.xn tptp.sz00)) % 23.13/23.31 (step @p716 :rule cong :premises (@p715) :args (@t123)) % 23.13/23.31 (step @p717 :rule trans :premises (@p716 @p714)) % 23.13/23.31 (step @p718 :rule and_elim :premises (@p40) :args (3)) % 23.13/23.31 (step @p719 :rule eq_resolve :premises (@p718 @p717)) % 23.13/23.31 (step @p720 :rule cnf_or_pos :args (@t420)) % 23.13/23.31 (step @p721 :rule factoring :premises (@p720)) % 23.13/23.31 (step @p722 :rule reordering :premises (@p721) :args ((or @t414 @t417 @t415 (not @t420)))) % 23.13/23.31 (step @p723 :rule chain_m_resolution :premises (@p722 @p719 @p711 @p708) :args (@t415 (@list true false false) (@list @t414 @t416 @t420))) % 23.13/23.31 (step @p724 :rule false_intro :premises (@p723)) % 23.13/23.31 (step @p725 :rule symm :premises (@p118)) % 23.13/23.31 (step @p726 :rule cong :premises (@p712 @p725) :args (@t301)) % 23.13/23.31 (step @p727 :rule trans :premises (@p726 @p724)) % 23.13/23.31 (step @p728 :rule false_elim :premises (@p727)) % 23.13/23.31 (step @p729 :rule cnf_and_pos :args (@t302 1)) % 23.13/23.31 (step @p730 :rule reordering :premises (@p729) :args ((or @t301 @t422))) % 23.13/23.31 (step @p731 :rule chain_m_resolution :premises (@p730 @p728) :args (@t422 @t193 (@list @t301))) % 23.13/23.31 (step @p732 :rule cnf_equiv_pos2 :args (@t310)) % 23.13/23.31 (step @p733 :rule reordering :premises (@p732) :args ((or @t302 @t423 (not @t310)))) % 23.13/23.31 (step @p734 :rule chain_m_resolution :premises (@p733 @p731 @p677) :args (@t423 @t397 (@list @t302 @t310))) % 23.13/23.31 (step @p735 :rule eq-symm :args (@t300 tptp.sz00)) % 23.13/23.31 (step @p736 :rule refl :args (@t425)) % 23.13/23.31 (step @p737 :rule cong :premises (@p736 @p735) :args (@t426)) % 23.13/23.31 (step @p738 :rule nary_cong :premises (@p136 @p346 @p135 @p345 @p737) :args (@t427)) % 23.13/23.31 (step @p739 :rule cong :premises (@p348 @p738) :args ((=> @t308 @t427))) % 23.13/23.31 (assume-push @p1150 @t308) % 23.13/23.31 (step @p741 :rule instantiate :premises (@p341) :args ((@list tptp.xp tptp.sz00 tptp.sz00))) % 23.13/23.31 (step-pop @p1151 :rule scope :premises (@p741)) % 23.13/23.31 (step @p742 :rule process_scope :premises (@p1151) :args (@t427)) % 23.13/23.31 (step @p744 :rule eq_resolve :premises (@p742 @p739)) % 23.13/23.31 (step @p745 :rule implies_elim :premises (@p744)) % 23.13/23.31 (step @p746 :rule chain_m_resolution :premises (@p745 @p341) :args (@t430 @t212 @t312)) % 23.13/23.31 (step @p747 :rule cnf_or_pos :args (@t430)) % 23.13/23.31 (step @p748 :rule reordering :premises (@p747) :args ((or @t210 @t306 @t200 @t305 @t429 (not @t430)))) % 23.13/23.31 (step @p749 :rule chain_m_resolution :premises (@p748 @p148 @p2 @p108 @p674 @p746) :args (@t429 @t406 (@list @t210 @t4 @t124 @t304 @t430))) % 23.13/23.31 (step @p750 :rule bool-impl-elim :args (@t2 @t431)) % 23.13/23.31 (step @p751 :rule cong :premises (@p750) :args ((forall @t3 (=> @t2 @t431)))) % 23.13/23.31 (step @p752 :rule refl :args (@t34)) % 23.13/23.31 (step @p753 :rule eq-symm :args (@t35 tptp.sz00)) % 23.13/23.31 (step @p754 :rule nary_cong :premises (@p753 @p752) :args (@t36)) % 23.13/23.31 (step @p755 :rule cong :premises (@p192 @p754) :args (@t37)) % 23.13/23.31 (step @p756 :rule cong :premises (@p755) :args (@t38)) % 23.13/23.31 (step @p757 :rule trans :premises (@p756 @p751)) % 23.13/23.31 (step @p758 :rule eq_resolve :premises (@p12 @p757)) % 23.13/23.31 (step @p759 :rule instantiate :premises (@p758) :args (@t317)) % 23.13/23.31 (step @p760 :rule cnf_or_pos :args (@t433)) % 23.13/23.31 (step @p761 :rule reordering :premises (@p760) :args ((or @t200 @t432 (not @t433)))) % 23.13/23.31 (step @p762 :rule chain_m_resolution :premises (@p761 @p108 @p759) :args (@t432 @t251 (@list @t124 @t433))) % 23.13/23.31 (step @p763 :rule cnf_and_pos :args (@t432 0)) % 23.13/23.31 (step @p764 :rule reordering :premises (@p763) :args ((or @t424 (not @t432)))) % 23.13/23.31 (step @p765 :rule chain_m_resolution :premises (@p764 @p762) :args (@t424 @t212 (@list @t432))) % 23.13/23.31 (step @p766 :rule cnf_and_neg :args (@t425)) % 23.13/23.31 (step @p767 :rule reordering :premises (@p766) :args ((or @t306 @t434 @t425))) % 23.13/23.31 (step @p768 :rule chain_m_resolution :premises (@p767 @p2 @p765) :args (@t425 @t251 (@list @t4 @t424))) % 23.13/23.31 (step @p769 :rule cnf_equiv_pos1 :args (@t429)) % 23.13/23.31 (step @p770 :rule reordering :premises (@p769) :args ((or @t428 (not @t425) (not @t429)))) % 23.13/23.31 (step @p771 :rule chain_m_resolution :premises (@p770 @p768 @p749) :args (@t428 @t251 (@list @t425 @t429))) % 23.13/23.31 (step @p772 :rule bool-double-not-elim :args (@t309)) % 23.13/23.31 (step @p773 :rule refl :args (@t435)) % 23.13/23.31 (step @p774 :rule refl :args (@t434)) % 23.13/23.31 (step @p775 :rule refl :args (@t436)) % 23.13/23.31 (step @p776 :rule nary_cong :premises (@p775 @p774 @p773 @p772) :args ((or @t436 @t434 @t435 (not @t423)))) % 23.13/23.31 (assume-push @p1152 @t424) % 23.13/23.31 (assume-push @p1153 @t283) % 23.13/23.31 (assume-push @p1154 @t428) % 23.13/23.31 (assume-push @p1155 @t423) % 23.13/23.31 (step @p781 :rule evaluate :args (@t437)) % 23.13/23.31 (step @p782 :rule symm :premises (@p1154)) % 23.13/23.31 (step @p783 :rule trans :premises (@p782 @p765)) % 23.13/23.31 (step @p784 :rule symm :premises (@p783)) % 23.13/23.31 (step @p785 :rule symm :premises (@p1153)) % 23.13/23.31 (step @p786 :rule trans :premises (@p785 @p765 @p784)) % 23.13/23.31 (step @p787 :rule true_intro :premises (@p786)) % 23.13/23.31 (step @p788 :rule false_intro :premises (@p1155)) % 23.13/23.31 (step @p789 :rule symm :premises (@p788)) % 23.13/23.31 (step @p790 :rule trans :premises (@p789 @p787)) % 23.13/23.31 (step @p791 false :rule eq_resolve :premises (@p790 @p781)) % 23.13/23.31 (step-pop @p1156 :rule scope :premises (@p791)) % 23.13/23.31 (step-pop @p1157 :rule scope :premises (@p1156)) % 23.13/23.31 (step-pop @p1158 :rule scope :premises (@p1157)) % 23.13/23.31 (step-pop @p1159 :rule scope :premises (@p1158)) % 23.13/23.31 (step @p792 :rule process_scope :premises (@p1159) :args (false)) % 23.13/23.31 (assume-push @p1160 @t283) % 23.13/23.31 (assume-push @p1161 @t424) % 23.13/23.31 (assume-push @p1162 @t428) % 23.13/23.31 (assume-push @p1163 @t423) % 23.13/23.31 (step @p801 :rule and_intro :premises (@p765 @p1160 @p1162 @p1163)) % 23.13/23.31 (step-pop @p1164 :rule scope :premises (@p801)) % 23.13/23.31 (step-pop @p1165 :rule scope :premises (@p1164)) % 23.13/23.31 (step-pop @p1166 :rule scope :premises (@p1165)) % 23.13/23.31 (step-pop @p1167 :rule scope :premises (@p1166)) % 23.13/23.31 (step @p802 :rule process_scope :premises (@p1167) :args (@t438)) % 23.13/23.31 (step @p807 :rule implies_elim :premises (@p802)) % 23.13/23.31 (step @p808 :rule resolution :premises (@p807 @p792) :args (true @t438)) % 23.13/23.31 (step @p809 :rule not_and :premises (@p808)) % 23.13/23.31 (step @p810 :rule eq_resolve :premises (@p809 @p776)) % 23.13/23.31 (step @p811 :rule chain_m_resolution :premises (@p810 @p765 @p771 @p734) :args (@t436 (@list false false true) (@list @t424 @t428 @t309))) % 23.13/23.31 (step @p812 :rule cnf_or_pos :args (@t284)) % 23.13/23.31 (step @p813 :rule reordering :premises (@p812) :args ((or @t271 @t277 @t200 @t186 @t283 @t282 (not @t284)))) % 23.13/23.31 (step @p814 :rule chain_m_resolution :premises (@p813 @p511 @p573 @p108 @p97 @p811 @p297) :args (@t282 @t255 (@list @t271 @t6 @t124 @t185 @t283 @t284))) % 23.13/23.31 (step @p815 :rule cnf_and_pos :args (@t282 0)) % 23.13/23.31 (step @p816 :rule reordering :premises (@p815) :args ((or @t281 (not @t282)))) % 23.13/23.31 (step @p817 :rule chain_m_resolution :premises (@p816 @p814) :args (@t281 @t212 (@list @t282))) % 23.13/23.31 (step @p818 :rule bool-impl-elim :args (@t2 @t439)) % 23.13/23.31 (step @p819 :rule cong :premises (@p818) :args ((forall @t3 (=> @t2 @t439)))) % 23.13/23.31 (step @p820 :rule refl :args (@t29)) % 23.13/23.31 (step @p821 :rule eq-symm :args (@t30 @t1)) % 23.13/23.31 (step @p822 :rule nary_cong :premises (@p821 @p820) :args (@t31)) % 23.13/23.31 (step @p823 :rule cong :premises (@p192 @p822) :args (@t32)) % 23.13/23.31 (step @p824 :rule cong :premises (@p823) :args (@t33)) % 23.13/23.31 (step @p825 :rule trans :premises (@p824 @p819)) % 23.13/23.31 (step @p826 :rule eq_resolve :premises (@p11 @p825)) % 23.13/23.31 (step @p827 :rule instantiate :premises (@p826) :args ((@list @t130))) % 23.13/23.31 (step @p828 :rule cnf_or_pos :args (@t444)) % 23.13/23.31 (step @p829 :rule reordering :premises (@p828) :args ((or @t242 @t443 (not @t444)))) % 23.13/23.31 (step @p830 :rule chain_m_resolution :premises (@p829 @p230 @p827) :args (@t443 @t251 (@list @t241 @t444))) % 23.13/23.31 (step @p831 :rule cnf_and_pos :args (@t443 1)) % 23.13/23.31 (step @p832 :rule reordering :premises (@p831) :args ((or @t440 @t445))) % 23.13/23.31 (step @p833 :rule chain_m_resolution :premises (@p832 @p830) :args (@t440 @t212 @t446)) % 23.13/23.31 (step @p834 :rule cnf_and_pos :args (@t443 0)) % 23.13/23.31 (step @p835 :rule reordering :premises (@p834) :args ((or @t442 @t445))) % 23.13/23.31 (step @p836 :rule chain_m_resolution :premises (@p835 @p830) :args (@t442 @t212 @t446)) % 23.13/23.31 (step @p837 :rule aci_norm :args ((= @t449 @t448))) % 23.13/23.31 (step @p838 :rule nary_cong :premises (@p287 @p837) :args (@t450)) % 23.13/23.31 (step @p839 :rule refl :args (@t451)) % 23.13/23.31 (step @p840 :rule cong :premises (@p839 @p838) :args ((=> @t451 @t450))) % 23.13/23.31 (assume-push @p1168 @t451) % 23.13/23.31 (step @p842 :rule instantiate :premises (@p826) :args (@t392)) % 23.13/23.31 (step-pop @p1169 :rule scope :premises (@p842)) % 23.13/23.31 (step @p843 :rule process_scope :premises (@p1169) :args (@t450)) % 23.13/23.31 (step @p845 :rule eq_resolve :premises (@p843 @p840)) % 23.13/23.31 (step @p846 :rule implies_elim :premises (@p845)) % 23.13/23.31 (step @p847 :rule chain_m_resolution :premises (@p846 @p826) :args (@t452 @t212 (@list @t451))) % 23.13/23.31 (step @p848 :rule cnf_or_pos :args (@t452)) % 23.13/23.31 (step @p849 :rule reordering :premises (@p848) :args ((or @t277 @t448 (not @t452)))) % 23.13/23.31 (step @p850 :rule chain_m_resolution :premises (@p849 @p573 @p847) :args (@t448 @t251 (@list @t6 @t452))) % 23.13/23.31 (step @p851 :rule refl :args (@t453)) % 23.13/23.31 (step @p852 :rule bool-double-not-elim :args (@t280)) % 23.13/23.31 (step @p853 :rule refl :args (@t454)) % 23.13/23.31 (step @p854 :rule refl :args (@t455)) % 23.13/23.31 (step @p855 :rule refl :args (@t456)) % 23.13/23.31 (step @p856 :rule refl :args (@t457)) % 23.13/23.31 (step @p857 :rule refl :args (@t458)) % 23.13/23.31 (step @p858 :rule refl :args (@t184)) % 23.13/23.31 (step @p859 :rule refl :args (@t460)) % 23.13/23.31 (step @p860 :rule nary_cong :premises (@p859 @p858 @p857 @p856 @p855 @p854 @p853 @p852 @p851) :args ((or @t460 @t184 @t458 @t457 @t456 @t455 @t454 (not @t281) @t453))) % 23.13/23.31 (assume-push @p1170 @t459) % 23.13/23.31 (assume-push @p1171 @t183) % 23.13/23.31 (assume-push @p1172 @t448) % 23.13/23.31 (assume-push @p1173 @t236) % 23.13/23.31 (assume-push @p1174 @t256) % 23.13/23.31 (assume-push @p1175 @t442) % 23.13/23.31 (assume-push @p1176 @t440) % 23.13/23.31 (assume-push @p1177 @t281) % 23.13/23.31 (assume-push @p1178 @t183) % 23.13/23.31 (assume-push @p1179 @t281) % 23.13/23.31 (assume-push @p1180 @t236) % 23.13/23.31 (assume-push @p1181 @t256) % 23.13/23.31 (assume-push @p1182 @t459) % 23.13/23.31 (assume-push @p1183 @t448) % 23.13/23.31 (assume-push @p1184 @t442) % 23.13/23.31 (assume-push @p1185 @t440) % 23.13/23.31 (step @p877 :rule false_intro :premises (@p1177)) % 23.13/23.31 (step @p878 :rule symm :premises (@p850)) % 23.13/23.31 (step @p879 :rule cong :premises (@p233 @p878) :args ((tptp.sdtasdt0 @t130 @t447))) % 23.13/23.31 (step @p880 :rule refl :args (@t130)) % 23.13/23.31 (step @p881 :rule cong :premises (@p880 @p850) :args (@t441)) % 23.13/23.31 (step @p882 :rule symm :premises (@p833)) % 23.13/23.31 (step @p883 :rule symm :premises (@p233)) % 23.13/23.31 (step @p884 :rule refl :args (tptp.sz10)) % 23.13/23.31 (step @p885 :rule cong :premises (@p884 @p883) :args (@t272)) % 23.13/23.31 (step @p886 :rule trans :premises (@p885 @p882 @p836 @p881 @p879)) % 23.13/23.31 (step @p887 :rule trans :premises (@p725 @p247 @p246 @p234)) % 23.13/23.31 (step @p888 :rule cong :premises (@p887 @p886) :args (@t279)) % 23.13/23.31 (step @p889 :rule trans :premises (@p888 @p877)) % 23.13/23.31 (step @p890 :rule symm :premises (@p885)) % 23.13/23.31 (step @p891 :rule trans :premises (@p883 @p833 @p890)) % 23.13/23.31 (step @p892 :rule cong :premises (@p118 @p891) :args (@t269)) % 23.13/23.31 (step @p893 :rule trans :premises (@p892 @p889)) % 23.13/23.31 (step @p894 :rule false_elim :premises (@p893)) % 23.13/23.31 (step-pop @p1186 :rule scope :premises (@p894)) % 23.13/23.31 (step-pop @p1187 :rule scope :premises (@p1186)) % 23.13/23.31 (step-pop @p1188 :rule scope :premises (@p1187)) % 23.13/23.31 (step-pop @p1189 :rule scope :premises (@p1188)) % 23.13/23.31 (step-pop @p1190 :rule scope :premises (@p1189)) % 23.13/23.31 (step-pop @p1191 :rule scope :premises (@p1190)) % 23.13/23.31 (step-pop @p1192 :rule scope :premises (@p1191)) % 23.13/23.31 (step-pop @p1193 :rule scope :premises (@p1192)) % 23.13/23.31 (step @p895 :rule process_scope :premises (@p1193) :args (@t453)) % 23.13/23.31 (step @p904 :rule and_intro :premises (@p118 @p1177 @p233 @p246 @p212 @p850 @p836 @p833)) % 23.13/23.31 (step @p905 :rule modus_ponens :premises (@p904 @p895)) % 23.13/23.31 (step-pop @p1194 :rule scope :premises (@p905)) % 23.13/23.31 (step-pop @p1195 :rule scope :premises (@p1194)) % 23.13/23.31 (step-pop @p1196 :rule scope :premises (@p1195)) % 23.13/23.31 (step-pop @p1197 :rule scope :premises (@p1196)) % 23.13/23.31 (step-pop @p1198 :rule scope :premises (@p1197)) % 23.13/23.31 (step-pop @p1199 :rule scope :premises (@p1198)) % 23.13/23.31 (step-pop @p1200 :rule scope :premises (@p1199)) % 23.13/23.31 (step-pop @p1201 :rule scope :premises (@p1200)) % 23.13/23.31 (step @p906 :rule process_scope :premises (@p1201) :args (@t453)) % 23.13/23.31 (step @p915 :rule implies_elim :premises (@p906)) % 23.13/23.31 (step @p916 :rule cnf_and_neg :args (@t461)) % 23.13/23.31 (step @p917 :rule resolution :premises (@p916 @p915) :args (true @t461)) % 23.13/23.31 (step @p918 :rule eq_resolve :premises (@p917 @p860)) % 23.13/23.31 (step @p919 :rule chain_m_resolution :premises (@p918 @p212 @p118 @p850 @p233 @p246 @p836 @p833 @p817) :args (@t453 (@list false false false false false false false true) (@list @t459 @t183 @t448 @t236 @t256 @t442 @t440 @t280))) % 23.13/23.31 (step @p920 :rule bool-impl-elim :args (@t2 @t64)) % 23.13/23.31 (step @p921 :rule cong :premises (@p920) :args (@t65)) % 23.13/23.31 (step @p922 :rule eq_resolve :premises (@p20 @p921)) % 23.13/23.31 (step @p923 :rule instantiate :premises (@p922) :args ((@list @t147))) % 23.13/23.31 (step @p924 :rule cnf_or_pos :args (@t463)) % 23.13/23.31 (step @p925 :rule reordering :premises (@p924) :args ((or @t417 @t462 (not @t463)))) % 23.13/23.31 (step @p926 :rule chain_m_resolution :premises (@p925 @p711 @p923) :args (@t462 @t251 (@list @t416 @t463))) % 23.13/23.31 (step @p927 :rule refl :args (@t464)) % 23.13/23.31 (step @p928 :rule bool-double-not-elim :args (@t465)) % 23.13/23.31 (step @p929 :rule refl :args (@t467)) % 23.13/23.31 (step @p930 :rule nary_cong :premises (@p929 @p928 @p927) :args ((or @t467 (not @t468) @t464))) % 23.13/23.31 (assume-push @p1202 @t462) % 23.13/23.31 (assume-push @p1203 @t466) % 23.13/23.31 (assume-push @p1204 @t468) % 23.13/23.31 (step @p781 :rule evaluate :args (@t437)) % 23.13/23.31 (step @p934 :rule true_intro :premises (@p926)) % 23.13/23.31 (step @p935 :rule refl :args (@t147)) % 23.13/23.31 (step @p936 :rule cong :premises (@p935 @p1203) :args (@t465)) % 23.13/23.31 (step @p937 :rule false_intro :premises (@p1204)) % 23.13/23.31 (step @p938 :rule symm :premises (@p937)) % 23.13/23.31 (step @p939 :rule trans :premises (@p938 @p936 @p934)) % 23.13/23.31 (step @p940 false :rule eq_resolve :premises (@p939 @p781)) % 23.13/23.31 (step-pop @p1205 :rule scope :premises (@p940)) % 23.13/23.31 (step-pop @p1206 :rule scope :premises (@p1205)) % 23.13/23.31 (step-pop @p1207 :rule scope :premises (@p1206)) % 23.13/23.31 (step @p941 :rule process_scope :premises (@p1207) :args (false)) % 23.13/23.31 (assume-push @p1208 @t466) % 23.13/23.31 (assume-push @p1209 @t468) % 23.13/23.31 (assume-push @p1210 @t462) % 23.13/23.31 (step @p948 :rule and_intro :premises (@p926 @p1208 @p1209)) % 23.13/23.31 (step-pop @p1211 :rule scope :premises (@p948)) % 23.13/23.31 (step-pop @p1212 :rule scope :premises (@p1211)) % 23.13/23.31 (step-pop @p1213 :rule scope :premises (@p1212)) % 23.13/23.31 (step @p949 :rule process_scope :premises (@p1213) :args (@t469)) % 23.13/23.31 (step @p953 :rule implies_elim :premises (@p949)) % 23.13/23.31 (step @p954 :rule resolution :premises (@p953 @p941) :args (true @t469)) % 23.13/23.31 (step @p955 :rule not_and :premises (@p954)) % 23.13/23.31 (step @p956 :rule eq_resolve :premises (@p955 @p930)) % 23.13/23.31 (step @p957 :rule reordering :premises (@p956) :args ((or @t465 @t467 @t464))) % 23.13/23.31 (step @p958 :rule cnf_and_pos :args (@t470 1)) % 23.13/23.31 (step @p959 :rule reordering :premises (@p958) :args ((or @t465 (not @t470)))) % 23.13/23.31 (step @p960 :rule refl :args (@t473)) % 23.13/23.31 (step @p961 :rule bool-double-not-elim :args (@t466)) % 23.13/23.31 (step @p962 :rule nary_cong :premises (@p961 @p960) :args ((or (not @t467) @t473))) % 23.13/23.31 (step @p963 :rule refl :args (@t472)) % 23.13/23.31 (step @p964 :rule eq-symm :args (@t147 tptp.xm)) % 23.13/23.31 (step @p965 :rule cong :premises (@p964) :args (@t474)) % 23.13/23.31 (step @p966 :rule nary_cong :premises (@p965 @p963) :args (@t475)) % 23.13/23.31 (step @p967 :rule cong :premises (@p966) :args ((not @t475))) % 23.13/23.31 (step @p968 :rule refl :args (tptp.xm)) % 23.13/23.31 (step @p969 :rule cong :premises (@p968 @p57) :args (@t162)) % 23.13/23.31 (step @p970 :rule refl :args (@t163)) % 23.13/23.31 (step @p971 :rule cong :premises (@p57 @p970) :args (@t476)) % 23.13/23.31 (step @p972 :rule cong :premises (@p971) :args (@t477)) % 23.13/23.31 (step @p973 :rule nary_cong :premises (@p52 @p972) :args (@t478)) % 23.13/23.31 (step @p974 :rule cong :premises (@p973) :args (@t479)) % 23.13/23.31 (step @p975 :rule cong :premises (@p974) :args (@t480)) % 23.13/23.31 (step @p976 :rule nary_cong :premises (@p975 @p969) :args (@t481)) % 23.13/23.31 (step @p977 :rule cong :premises (@p57 @p968) :args (@t482)) % 23.13/23.31 (step @p978 :rule cong :premises (@p977) :args (@t483)) % 23.13/23.31 (step @p979 :rule nary_cong :premises (@p978 @p976) :args (@t484)) % 23.13/23.31 (step @p980 :rule cong :premises (@p979) :args ((not @t484))) % 23.13/23.31 (step @p981 :rule trans :premises (@p980 @p967)) % 23.13/23.31 (step @p982 :rule refl :args (@t162)) % 23.13/23.31 (step @p983 :rule bool-and-de-morgan :args (@t2 @t476 true)) % 23.13/23.31 (step @p984 :rule cong :premises (@p983) :args (@t486)) % 23.13/23.31 (step @p985 :rule cong :premises (@p984) :args (@t487)) % 23.13/23.31 (step @p986 :rule exists-elim :args ((= (exists @t3 @t485) @t487))) % 23.13/23.31 (step @p987 :rule trans :premises (@p986 @p985)) % 23.13/23.31 (step @p988 :rule eq-symm :args (@t163 tptp.xn)) % 23.13/23.31 (step @p989 :rule nary_cong :premises (@p192 @p988) :args (@t164)) % 23.13/23.31 (step @p990 :rule cong :premises (@p989) :args (@t165)) % 23.13/23.31 (step @p991 :rule trans :premises (@p990 @p987)) % 23.13/23.31 (step @p992 :rule nary_cong :premises (@p991 @p982) :args (@t166)) % 23.13/23.31 (step @p993 :rule eq-symm :args (tptp.xm tptp.xn)) % 23.13/23.31 (step @p994 :rule cong :premises (@p993) :args (@t167)) % 23.13/23.31 (step @p995 :rule nary_cong :premises (@p994 @p992) :args (@t168)) % 23.13/23.31 (step @p996 :rule cong :premises (@p995) :args (@t169)) % 23.13/23.31 (step @p997 :rule trans :premises (@p996 @p981)) % 23.13/23.31 (step @p998 :rule eq_resolve :premises (@p48 @p997)) % 23.13/23.31 (step @p999 :rule not_and :premises (@p998)) % 23.13/23.31 (step @p1000 :rule eq_resolve :premises (@p999 @p962)) % 23.13/23.31 (step @p1001 :rule and_elim :premises (@p40) :args (1)) % 23.13/23.31 (step @p1002 :rule aci_norm :args ((= (or @t196 @t489) (or @t172 @t195 @t63 @t488)))) % 23.13/23.31 (step @p1003 :rule refl :args (@t489)) % 23.13/23.31 (step @p1004 :rule nary_cong :premises (@p100 @p1003) :args ((or @t197 @t489))) % 23.13/23.31 (step @p1005 :rule trans :premises (@p1004 @p1002)) % 23.13/23.31 (step @p1006 :rule bool-impl-elim :args (@t10 @t489)) % 23.13/23.31 (step @p1007 :rule trans :premises (@p1006 @p1005)) % 23.13/23.31 (step @p1008 :rule cong :premises (@p1007) :args ((forall @t11 (=> @t10 @t489)))) % 23.13/23.31 (step @p1009 :rule refl :args (@t67)) % 23.13/23.31 (step @p1010 :rule cong :premises (@p533) :args (@t73)) % 23.13/23.31 (step @p1011 :rule nary_cong :premises (@p1010 @p1009) :args (@t74)) % 23.13/23.31 (step @p1012 :rule refl :args (@t63)) % 23.13/23.31 (step @p1013 :rule nary_cong :premises (@p1012 @p1011) :args (@t75)) % 23.13/23.31 (step @p1014 :rule cong :premises (@p337 @p1013) :args (@t76)) % 23.13/23.31 (step @p1015 :rule cong :premises (@p1014) :args (@t77)) % 23.13/23.31 (step @p1016 :rule trans :premises (@p1015 @p1008)) % 23.13/23.31 (step @p1017 :rule eq_resolve :premises (@p23 @p1016)) % 23.13/23.31 (step @p1018 :rule instantiate :premises (@p1017) :args ((@list tptp.xm @t147))) % 23.13/23.31 (step @p1019 :rule cnf_or_pos :args (@t491)) % 23.13/23.31 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t471 @t417 @t490 @t470 (not @t491)))) % 23.13/23.31 (step @p1021 :rule cnf_or_neg :args (@t472 1)) % 23.13/23.31 (step @p1022 :rule chain_m_resolution :premises (@p1021 @p1020 @p1018 @p1001 @p711 @p1000 @p959 @p957 @p926) :args (@t465 (@list false false false false true true true false) (@list @t471 @t491 @t125 @t416 @t472 @t470 @t466 @t462))) % 23.13/23.31 (step @p1023 :rule cnf_or_neg :args (@t492 1)) % 23.13/23.31 (step @p1024 :rule chain_m_resolution :premises (@p1023 @p1022) :args (@t492 @t212 (@list @t465))) % 23.13/23.31 (step @p880 :rule refl :args (@t130)) % 23.13/23.31 (step @p1025 :rule cong :premises (@p58 @p880) :args (@t151)) % 23.13/23.31 (step @p1026 :rule refl :args (@t1)) % 23.13/23.31 (step @p1027 :rule cong :premises (@p58 @p1026) :args (@t152)) % 23.13/23.31 (step @p1028 :rule cong :premises (@p880 @p1027) :args (@t493)) % 23.13/23.31 (step @p1029 :rule cong :premises (@p1028) :args (@t494)) % 23.13/23.31 (step @p1030 :rule nary_cong :premises (@p52 @p1029) :args (@t495)) % 23.13/23.31 (step @p1031 :rule cong :premises (@p1030) :args (@t496)) % 23.13/23.31 (step @p1032 :rule cong :premises (@p1031) :args (@t497)) % 23.13/23.31 (step @p1033 :rule nary_cong :premises (@p1032 @p1025) :args (@t498)) % 23.13/23.31 (step @p1034 :rule cong :premises (@p57 @p968) :args (@t156)) % 23.13/23.31 (step @p1035 :rule cong :premises (@p57 @p1026) :args (@t157)) % 23.13/23.31 (step @p1036 :rule cong :premises (@p968 @p1035) :args (@t499)) % 23.13/23.31 (step @p1037 :rule cong :premises (@p1036) :args (@t500)) % 23.13/23.31 (step @p1038 :rule nary_cong :premises (@p52 @p1037) :args (@t501)) % 23.13/23.31 (step @p1039 :rule cong :premises (@p1038) :args (@t502)) % 23.13/23.31 (step @p1040 :rule cong :premises (@p1039) :args (@t503)) % 23.13/23.31 (step @p1041 :rule nary_cong :premises (@p1040 @p1034) :args (@t504)) % 23.13/23.31 (step @p1042 :rule cong :premises (@p1041 @p1033) :args ((=> @t504 @t498))) % 23.13/23.31 (step @p1043 :rule refl :args (@t151)) % 23.13/23.31 (step @p1044 :rule bool-and-de-morgan :args (@t2 @t493 true)) % 23.13/23.31 (step @p1045 :rule cong :premises (@p1044) :args (@t506)) % 23.13/23.31 (step @p1046 :rule cong :premises (@p1045) :args (@t507)) % 23.13/23.31 (step @p1047 :rule exists-elim :args ((= (exists @t3 @t505) @t507))) % 23.13/23.31 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 23.13/23.31 (step @p1049 :rule eq-symm :args (@t152 @t130)) % 23.13/23.31 (step @p1050 :rule nary_cong :premises (@p192 @p1049) :args (@t153)) % 23.13/23.31 (step @p1051 :rule cong :premises (@p1050) :args (@t154)) % 23.13/23.31 (step @p1052 :rule trans :premises (@p1051 @p1048)) % 23.13/23.31 (step @p1053 :rule nary_cong :premises (@p1052 @p1043) :args (@t155)) % 23.13/23.31 (step @p1054 :rule refl :args (@t156)) % 23.13/23.31 (step @p1055 :rule bool-and-de-morgan :args (@t2 @t499 true)) % 23.13/23.31 (step @p1056 :rule cong :premises (@p1055) :args (@t509)) % 23.13/23.31 (step @p1057 :rule cong :premises (@p1056) :args (@t510)) % 23.13/23.31 (step @p1058 :rule exists-elim :args ((= (exists @t3 @t508) @t510))) % 23.13/23.31 (step @p1059 :rule trans :premises (@p1058 @p1057)) % 23.13/23.31 (step @p1060 :rule eq-symm :args (@t157 tptp.xm)) % 23.13/23.31 (step @p1061 :rule nary_cong :premises (@p192 @p1060) :args (@t158)) % 23.13/23.31 (step @p1062 :rule cong :premises (@p1061) :args (@t159)) % 23.13/23.31 (step @p1063 :rule trans :premises (@p1062 @p1059)) % 23.13/23.31 (step @p1064 :rule nary_cong :premises (@p1063 @p1054) :args (@t160)) % 23.13/23.31 (step @p1065 :rule cong :premises (@p1064 @p1053) :args (@t161)) % 23.13/23.31 (step @p1066 :rule trans :premises (@p1065 @p1042)) % 23.13/23.31 (step @p1067 :rule eq_resolve :premises (@p47 @p1066)) % 23.13/23.31 (step @p1068 :rule implies_elim :premises (@p1067)) % 23.13/23.31 (step @p1069 :rule reordering :premises (@p1068) :args ((or @t512 (not @t492)))) % 23.13/23.31 (step @p1070 :rule chain_m_resolution :premises (@p1069 @p1024) :args (@t512 @t212 (@list @t492))) % 23.13/23.31 (step @p1071 :rule cnf_and_pos :args (@t512 1)) % 23.13/23.31 (step @p1072 :rule reordering :premises (@p1071) :args ((or @t511 (not @t512)))) % 23.13/23.31 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p1070) :args (@t511 @t212 (@list @t512))) % 23.13/23.31 (assume-push @p1214 @t511) % 23.13/23.31 (assume-push @p1215 @t236) % 23.13/23.31 (assume-push @p1216 @t511) % 23.13/23.31 (assume-push @p1217 @t236) % 23.13/23.31 (step @p1078 :rule true_intro :premises (@p1214)) % 23.13/23.31 (step @p883 :rule symm :premises (@p233)) % 23.13/23.31 (step @p1079 :rule refl :args (@t170)) % 23.13/23.31 (step @p1080 :rule cong :premises (@p1079 @p883) :args (@t263)) % 23.13/23.31 (step @p1081 :rule trans :premises (@p1080 @p1078)) % 23.13/23.31 (step @p1082 :rule true_elim :premises (@p1081)) % 23.13/23.31 (step-pop @p1218 :rule scope :premises (@p1082)) % 23.13/23.31 (step-pop @p1219 :rule scope :premises (@p1218)) % 23.13/23.31 (step @p1083 :rule process_scope :premises (@p1219) :args (@t263)) % 23.13/23.31 (step @p1086 :rule and_intro :premises (@p1214 @p233)) % 23.13/23.31 (step @p1087 :rule modus_ponens :premises (@p1086 @p1083)) % 23.13/23.31 (step-pop @p1220 :rule scope :premises (@p1087)) % 23.13/23.31 (step-pop @p1221 :rule scope :premises (@p1220)) % 23.13/23.31 (step @p1088 :rule process_scope :premises (@p1221) :args (@t263)) % 23.13/23.31 (step @p1091 :rule implies_elim :premises (@p1088)) % 23.13/23.31 (step @p1092 :rule cnf_and_neg :args (@t513)) % 23.13/23.31 (step @p1093 :rule resolution :premises (@p1092 @p1091) :args (true @t513)) % 23.13/23.31 (step @p1094 :rule chain_m_resolution :premises (@p1093 @p1073 @p233) :args (@t263 @t251 (@list @t511 @t236))) % 23.13/23.31 (step @p1095 :rule cnf_or_pos :args (@t270)) % 23.13/23.31 (step @p1096 :rule reordering :premises (@p1095) :args ((or @t186 @t266 @t265 @t264 @t269 (not @t270)))) % 23.13/23.31 (step @p1097 false :rule chain_m_resolution :premises (@p1096 @p1094 @p919 @p280 @p252 @p121 @p97) :args (false (@list false true false false false false) (@list @t263 @t269 @t270 @t258 @t203 @t185))) % 23.13/23.31 ) % 23.13/23.31 % SZS output end Proof % 23.13/23.31 % cvc5 exiting %------------------------------------------------------------------------------