%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM527+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 : n027.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 08:39:43 AM UTC 2026 % Result : Theorem 36.84s 37.03s % Output : Proof 36.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM527+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 % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:27:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 36.84/37.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.84/37.03 --- Run --no-e-matching --full-saturate-quant at 6... % 36.84/37.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.84/37.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.84/37.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.84/37.03 % SZS status Theorem % 36.84/37.03 % SZS output start Proof % 36.84/37.03 ( % 36.84/37.03 (declare-sort $$unsorted 0) % 36.84/37.03 (declare-const tptp.xq $$unsorted) % 36.84/37.03 (declare-const tptp.xp $$unsorted) % 36.84/37.03 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.sz10 $$unsorted) % 36.84/37.03 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.sz00 $$unsorted) % 36.84/37.03 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.xn $$unsorted) % 36.84/37.03 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.xm $$unsorted) % 36.84/37.03 (define @t1 () (@var "W0" $$unsorted)) % 36.84/37.03 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 36.84/37.03 (define @t3 () (@list @t1)) % 36.84/37.03 (define @t4 () (@var "W1" $$unsorted)) % 36.84/37.03 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 36.84/37.03 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 36.84/37.03 (define @t7 () (and @t2 @t6)) % 36.84/37.03 (define @t8 () (@list @t1 @t4)) % 36.84/37.03 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 36.84/37.03 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 36.84/37.03 (define @t11 () (forall @t8 (=> @t7 @t10))) % 36.84/37.03 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 36.84/37.03 (define @t13 () (@var "W2" $$unsorted)) % 36.84/37.03 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 36.84/37.03 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 36.84/37.03 (define @t16 () (and @t2 @t6 @t15)) % 36.84/37.03 (define @t17 () (@list @t1 @t4 @t13)) % 36.84/37.03 (define @t18 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 36.84/37.03 (define @t19 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 36.84/37.03 (define @t20 () (and (= @t19 @t1) @t18)) % 36.84/37.03 (define @t21 () (=> @t2 @t20)) % 36.84/37.03 (define @t22 () (forall @t3 @t21)) % 36.84/37.03 (define @t23 () (tptp.sdtasdt0 @t4 @t1)) % 36.84/37.03 (define @t24 () (= @t9 @t23)) % 36.84/37.03 (define @t25 () (forall @t8 (=> @t7 @t24))) % 36.84/37.03 (define @t26 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 36.84/37.03 (define @t27 () (forall @t17 (=> @t16 @t26))) % 36.84/37.03 (define @t28 () (tptp.sdtasdt0 @t13 @t1)) % 36.84/37.03 (define @t29 () (tptp.sdtasdt0 @t1 @t13)) % 36.84/37.03 (define @t30 () (= @t4 @t13)) % 36.84/37.03 (define @t31 () (tptp.sdtpldt0 @t13 @t1)) % 36.84/37.03 (define @t32 () (tptp.sdtpldt0 @t1 @t13)) % 36.84/37.03 (define @t33 () (= @t23 @t28)) % 36.84/37.03 (define @t34 () (= @t9 @t29)) % 36.84/37.03 (define @t35 () (or @t34 @t33)) % 36.84/37.03 (define @t36 () (=> @t35 @t30)) % 36.84/37.03 (define @t37 () (and @t6 @t15)) % 36.84/37.03 (define @t38 () (@list @t4 @t13)) % 36.84/37.03 (define @t39 () (forall @t38 (=> @t37 @t36))) % 36.84/37.03 (define @t40 () (= @t1 tptp.sz00)) % 36.84/37.03 (define @t41 () (not @t40)) % 36.84/37.03 (define @t42 () (=> @t41 @t39)) % 36.84/37.03 (define @t43 () (=> @t2 @t42)) % 36.84/37.03 (define @t44 () (forall @t3 @t43)) % 36.84/37.03 (define @t45 () (= @t4 tptp.sz00)) % 36.84/37.03 (define @t46 () (and @t15 (= @t32 @t4))) % 36.84/37.03 (define @t47 () (@list @t13)) % 36.84/37.03 (define @t48 () (tptp.sdtlseqdt0 @t1 @t4)) % 36.84/37.03 (define @t49 () (= @t1 @t4)) % 36.84/37.03 (define @t50 () (tptp.sdtlseqdt0 @t4 @t1)) % 36.84/37.03 (define @t51 () (and @t48 @t50)) % 36.84/37.03 (define @t52 () (=> @t51 @t49)) % 36.84/37.03 (define @t53 () (forall @t8 (=> @t7 @t52))) % 36.84/37.03 (define @t54 () (tptp.sdtlseqdt0 @t1 @t13)) % 36.84/37.03 (define @t55 () (tptp.sdtlseqdt0 @t4 @t13)) % 36.84/37.03 (define @t56 () (and @t48 @t55)) % 36.84/37.03 (define @t57 () (=> @t56 @t54)) % 36.84/37.03 (define @t58 () (forall @t17 (=> @t16 @t57))) % 36.84/37.03 (define @t59 () (= @t4 @t1)) % 36.84/37.03 (define @t60 () (not @t59)) % 36.84/37.03 (define @t61 () (and @t60 @t50)) % 36.84/37.03 (define @t62 () (or @t48 @t61)) % 36.84/37.03 (define @t63 () (=> @t7 @t62)) % 36.84/37.03 (define @t64 () (forall @t8 @t63)) % 36.84/37.03 (define @t65 () (tptp.sdtpldt0 @t13 @t4)) % 36.84/37.03 (define @t66 () (not @t49)) % 36.84/37.03 (define @t67 () (and @t66 @t48)) % 36.84/37.03 (define @t68 () (not @t33)) % 36.84/37.03 (define @t69 () (not @t34)) % 36.84/37.03 (define @t70 () (and @t69 (tptp.sdtlseqdt0 @t9 @t29) @t68 (tptp.sdtlseqdt0 @t23 @t28))) % 36.84/37.03 (define @t71 () (not @t30)) % 36.84/37.03 (define @t72 () (and @t41 @t71 @t55)) % 36.84/37.03 (define @t73 () (=> @t72 @t70)) % 36.84/37.03 (define @t74 () (forall @t17 (=> @t16 @t73))) % 36.84/37.03 (define @t75 () (= @t1 tptp.sz10)) % 36.84/37.03 (define @t76 () (tptp.sdtlseqdt0 @t4 @t23)) % 36.84/37.03 (define @t77 () (=> @t41 @t76)) % 36.84/37.03 (define @t78 () (forall @t8 (=> @t7 @t77))) % 36.84/37.03 (define @t79 () (tptp.iLess0 @t1 @t4)) % 36.84/37.03 (define @t80 () (and @t15 (= @t4 @t29))) % 36.84/37.03 (define @t81 () (tptp.doDivides0 @t1 @t4)) % 36.84/37.03 (define @t82 () (tptp.sdtsldt0 @t4 @t1)) % 36.84/37.03 (define @t83 () (and @t41 @t81)) % 36.84/37.03 (define @t84 () (tptp.doDivides0 @t1 @t13)) % 36.84/37.03 (define @t85 () (tptp.doDivides0 @t1 @t14)) % 36.84/37.03 (define @t86 () (not @t45)) % 36.84/37.03 (define @t87 () (tptp.doDivides0 @t4 @t1)) % 36.84/37.03 (define @t88 () (@list @t4)) % 36.84/37.03 (define @t89 () (not @t75)) % 36.84/37.03 (define @t90 () (tptp.isPrime0 @t13)) % 36.84/37.03 (define @t91 () (= tptp.xp tptp.sz00)) % 36.84/37.03 (define @t92 () (= tptp.xm tptp.sz00)) % 36.84/37.03 (define @t93 () (not (= tptp.xn tptp.sz00))) % 36.84/37.03 (define @t94 () (tptp.aNaturalNumber0 tptp.xp)) % 36.84/37.03 (define @t95 () (tptp.aNaturalNumber0 tptp.xm)) % 36.84/37.03 (define @t96 () (tptp.aNaturalNumber0 tptp.xn)) % 36.84/37.03 (define @t97 () (@var "W3" $$unsorted)) % 36.84/37.03 (define @t98 () (@var "W4" $$unsorted)) % 36.84/37.03 (define @t99 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 36.84/37.03 (define @t100 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 36.84/37.03 (define @t101 () (tptp.sdtasdt0 tptp.xp @t100)) % 36.84/37.03 (define @t102 () (= @t101 @t99)) % 36.84/37.03 (define @t103 () (tptp.sdtasdt0 tptp.xp @t1)) % 36.84/37.03 (define @t104 () (= tptp.xn @t103)) % 36.84/37.03 (define @t105 () (and @t2 @t104)) % 36.84/37.03 (define @t106 () (exists @t3 @t105)) % 36.84/37.03 (define @t107 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 36.84/37.03 (define @t108 () (tptp.aNaturalNumber0 tptp.xq)) % 36.84/37.03 (define @t109 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 36.84/37.03 (define @t110 () (tptp.sdtasdt0 tptp.xp @t109)) % 36.84/37.03 (define @t111 () (= @t100 @t110)) % 36.84/37.03 (define @t112 () (tptp.sdtlseqdt0 @t99 @t100)) % 36.84/37.03 (define @t113 () (tptp.sdtpldt0 @t99 @t1)) % 36.84/37.03 (define @t114 () (and @t2 (= @t113 @t100))) % 36.84/37.03 (define @t115 () (exists @t3 @t114)) % 36.84/37.03 (define @t116 () (or @t115 @t112)) % 36.84/37.03 (define @t117 () (tptp.sdtlseqdt0 tptp.xn tptp.xm)) % 36.84/37.03 (define @t118 () (tptp.sdtpldt0 tptp.xn @t1)) % 36.84/37.03 (define @t119 () (and @t2 (= @t118 tptp.xm))) % 36.84/37.03 (define @t120 () (exists @t3 @t119)) % 36.84/37.03 (define @t121 () (and @t120 @t117)) % 36.84/37.03 (define @t122 () (=> @t121 @t116)) % 36.84/37.03 (define @t123 () (not @t122)) % 36.84/37.03 (define @t124 () (not @t6)) % 36.84/37.03 (define @t125 () (not @t2)) % 36.84/37.03 (define @t126 () (or @t125 @t124)) % 36.84/37.03 (define @t127 () (not @t7)) % 36.84/37.04 (define @t128 () (@list @t107 tptp.xm)) % 36.84/37.04 (define @t129 () (tptp.sdtasdt0 tptp.xm @t107)) % 36.84/37.04 (define @t130 () (tptp.sdtasdt0 @t107 tptp.xm)) % 36.84/37.04 (define @t131 () (= @t130 @t129)) % 36.84/37.04 (define @t132 () (not @t95)) % 36.84/37.04 (define @t133 () (tptp.aNaturalNumber0 @t107)) % 36.84/37.04 (define @t134 () (not @t133)) % 36.84/37.04 (define @t135 () (or @t134 @t132 @t131)) % 36.84/37.04 (define @t136 () (@list false false false)) % 36.84/37.04 (define @t137 () (and (= @t1 @t19) @t18)) % 36.84/37.04 (define @t138 () (tptp.sdtpldt0 tptp.sz00 @t107)) % 36.84/37.04 (define @t139 () (= @t107 @t138)) % 36.84/37.04 (define @t140 () (and (= @t107 (tptp.sdtpldt0 @t107 tptp.sz00)) @t139)) % 36.84/37.04 (define @t141 () (or @t134 @t140)) % 36.84/37.04 (define @t142 () (@list false false)) % 36.84/37.04 (define @t143 () (@list false)) % 36.84/37.04 (define @t144 () (and @t66 @t50)) % 36.84/37.04 (define @t145 () (or @t125 @t124 @t48 @t144)) % 36.84/37.04 (define @t146 () (or @t48 @t144)) % 36.84/37.04 (define @t147 () (tptp.sdtasdt0 @t107 @t107)) % 36.84/37.04 (define @t148 () (tptp.sdtlseqdt0 @t100 @t147)) % 36.84/37.04 (define @t149 () (not (= @t147 @t100))) % 36.84/37.04 (define @t150 () (and @t149 @t148)) % 36.84/37.04 (define @t151 () (tptp.sdtlseqdt0 @t147 @t100)) % 36.84/37.04 (define @t152 () (tptp.aNaturalNumber0 @t100)) % 36.84/37.04 (define @t153 () (not @t152)) % 36.84/37.04 (define @t154 () (tptp.aNaturalNumber0 @t147)) % 36.84/37.04 (define @t155 () (not @t154)) % 36.84/37.04 (define @t156 () (or @t155 @t153 @t151 @t150)) % 36.84/37.04 (define @t157 () (forall @t8 @t145)) % 36.84/37.04 (define @t158 () (= @t100 @t147)) % 36.84/37.04 (define @t159 () (not @t158)) % 36.84/37.04 (define @t160 () (and @t159 @t148)) % 36.84/37.04 (define @t161 () (or @t155 @t153 @t151 @t160)) % 36.84/37.04 (define @t162 () (@list @t157)) % 36.84/37.04 (define @t163 () (tptp.aNaturalNumber0 @t109)) % 36.84/37.04 (define @t164 () (not @t108)) % 36.84/37.04 (define @t165 () (or @t164 @t164 @t163)) % 36.84/37.04 (define @t166 () (tptp.aNaturalNumber0 @t110)) % 36.84/37.04 (define @t167 () (not @t163)) % 36.84/37.04 (define @t168 () (not @t94)) % 36.84/37.04 (define @t169 () (or @t168 @t167 @t166)) % 36.84/37.04 (define @t170 () (tptp.aNaturalNumber0 (tptp.sdtasdt0 tptp.xp @t110))) % 36.84/37.04 (define @t171 () (not @t166)) % 36.84/37.04 (define @t172 () (or @t168 @t171 @t170)) % 36.84/37.04 (define @t173 () (or @t132 @t132 @t152)) % 36.84/37.04 (define @t174 () (= @t100 @t113)) % 36.84/37.04 (define @t175 () (not @t174)) % 36.84/37.04 (define @t176 () (or @t125 @t175)) % 36.84/37.04 (define @t177 () (forall @t3 @t176)) % 36.84/37.04 (define @t178 () (not @t177)) % 36.84/37.04 (define @t179 () (or @t178 @t112)) % 36.84/37.04 (define @t180 () (= tptp.xm @t118)) % 36.84/37.04 (define @t181 () (not @t180)) % 36.84/37.04 (define @t182 () (or @t125 @t181)) % 36.84/37.04 (define @t183 () (forall @t3 @t182)) % 36.84/37.04 (define @t184 () (not @t183)) % 36.84/37.04 (define @t185 () (and @t184 @t117)) % 36.84/37.04 (define @t186 () (=> @t185 @t179)) % 36.84/37.04 (define @t187 () (and @t2 @t174)) % 36.84/37.04 (define @t188 () (forall @t3 (not @t187))) % 36.84/37.04 (define @t189 () (not @t188)) % 36.84/37.04 (define @t190 () (and @t2 @t180)) % 36.84/37.04 (define @t191 () (forall @t3 (not @t190))) % 36.84/37.04 (define @t192 () (not @t191)) % 36.84/37.04 (define @t193 () (@list true false false false)) % 36.84/37.04 (define @t194 () (= @t100 @t130)) % 36.84/37.04 (define @t195 () (not @t194)) % 36.84/37.04 (define @t196 () (= @t100 @t129)) % 36.84/37.04 (define @t197 () (not @t131)) % 36.84/37.04 (define @t198 () (not @t196)) % 36.84/37.04 (define @t199 () (not @t198)) % 36.84/37.04 (define @t200 () (and @t131 @t198)) % 36.84/37.04 (define @t201 () (tptp.sdtlseqdt0 @t107 tptp.xm)) % 36.84/37.04 (define @t202 () (= tptp.xm @t107)) % 36.84/37.04 (define @t203 () (not @t202)) % 36.84/37.04 (define @t204 () (and @t203 @t201)) % 36.84/37.04 (define @t205 () (tptp.sdtlseqdt0 tptp.xm @t107)) % 36.84/37.04 (define @t206 () (or @t132 @t134 @t205 @t204)) % 36.84/37.04 (define @t207 () (or @t125 @t124 @t40 @t76)) % 36.84/37.04 (define @t208 () (not @t41)) % 36.84/37.04 (define @t209 () (forall @t3 (or @t125 (not (= @t103 @t107))))) % 36.84/37.04 (define @t210 () (@quantifiers_skolemize @t209 0)) % 36.84/37.04 (define @t211 () (tptp.sdtasdt0 @t210 tptp.xp)) % 36.84/37.04 (define @t212 () (tptp.sdtlseqdt0 @t210 @t211)) % 36.84/37.04 (define @t213 () (tptp.aNaturalNumber0 @t210)) % 36.84/37.04 (define @t214 () (not @t213)) % 36.84/37.04 (define @t215 () (or @t168 @t214 @t91 @t212)) % 36.84/37.04 (define @t216 () (forall @t8 @t207)) % 36.84/37.04 (define @t217 () (= tptp.sz00 tptp.xp)) % 36.84/37.04 (define @t218 () (or @t168 @t214 @t217 @t212)) % 36.84/37.04 (define @t219 () (not (= @t107 @t103))) % 36.84/37.04 (define @t220 () (or @t125 @t219)) % 36.84/37.04 (define @t221 () (forall @t3 @t220)) % 36.84/37.04 (define @t222 () (not @t104)) % 36.84/37.04 (define @t223 () (or @t125 @t222)) % 36.84/37.04 (define @t224 () (forall @t3 @t223)) % 36.84/37.04 (define @t225 () (forall @t3 (not @t105))) % 36.84/37.04 (define @t226 () (not @t225)) % 36.84/37.04 (define @t227 () (tptp.sdtasdt0 tptp.xp @t210)) % 36.84/37.04 (define @t228 () (= @t107 @t227)) % 36.84/37.04 (define @t229 () (not @t228)) % 36.84/37.04 (define @t230 () (or @t214 @t229)) % 36.84/37.04 (define @t231 () (not @t230)) % 36.84/37.04 (define @t232 () (not @t209)) % 36.84/37.04 (define @t233 () (not (= @t227 @t107))) % 36.84/37.04 (define @t234 () (or @t214 @t233)) % 36.84/37.04 (define @t235 () (not @t234)) % 36.84/37.04 (define @t236 () (@list true)) % 36.84/37.04 (define @t237 () (@list @t230)) % 36.84/37.04 (define @t238 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 36.84/37.04 (define @t239 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 36.84/37.04 (define @t240 () (= @t239 @t238)) % 36.84/37.04 (define @t241 () (and (not (= (tptp.sdtasdt0 @t1 @t239) (tptp.sdtasdt0 @t1 @t238))) (not (= (tptp.sdtasdt0 @t239 @t1) (tptp.sdtasdt0 @t238 @t1))))) % 36.84/37.04 (define @t242 () (not (tptp.aNaturalNumber0 @t238))) % 36.84/37.04 (define @t243 () (not (tptp.aNaturalNumber0 @t239))) % 36.84/37.04 (define @t244 () (or @t125 @t40 @t243 @t242 @t241 @t240)) % 36.84/37.04 (define @t245 () (or @t243 @t242 @t241 @t240)) % 36.84/37.04 (define @t246 () (or @t125 @t40 @t245)) % 36.84/37.04 (define @t247 () (@list @t1 @t239 @t238)) % 36.84/37.04 (define @t248 () (forall @t247 @t246)) % 36.84/37.04 (define @t249 () (@list @t239 @t238)) % 36.84/37.04 (define @t250 () (forall @t249 @t246)) % 36.84/37.04 (define @t251 () (forall @t249 @t245)) % 36.84/37.04 (define @t252 () (or @t125 @t40 @t251)) % 36.84/37.04 (define @t253 () (and @t69 @t68)) % 36.84/37.04 (define @t254 () (not @t15)) % 36.84/37.04 (define @t255 () (or @t124 @t254 @t253 @t30)) % 36.84/37.04 (define @t256 () (forall @t38 @t255)) % 36.84/37.04 (define @t257 () (or @t125 @t40 @t256)) % 36.84/37.04 (define @t258 () (=> @t41 @t256)) % 36.84/37.04 (define @t259 () (or @t124 @t254)) % 36.84/37.04 (define @t260 () (not @t37)) % 36.84/37.04 (define @t261 () (= tptp.xq @t210)) % 36.84/37.04 (define @t262 () (tptp.sdtasdt0 tptp.xq tptp.xp)) % 36.84/37.04 (define @t263 () (and @t229 (not (= @t262 @t211)))) % 36.84/37.04 (define @t264 () (or @t168 @t91 @t164 @t214 @t263 @t261)) % 36.84/37.04 (define @t265 () (forall @t247 @t244)) % 36.84/37.04 (define @t266 () (or @t168 @t217 @t164 @t214 @t263 @t261)) % 36.84/37.04 (define @t267 () (@list @t265)) % 36.84/37.04 (define @t268 () (not @t263)) % 36.84/37.04 (define @t269 () (= @t107 @t262)) % 36.84/37.04 (define @t270 () (or @t168 @t164 @t269)) % 36.84/37.04 (define @t271 () (tptp.sdtlseqdt0 tptp.xq @t107)) % 36.84/37.04 (define @t272 () (not @t55)) % 36.84/37.04 (define @t273 () (not @t48)) % 36.84/37.04 (define @t274 () (or @t273 @t272 @t54)) % 36.84/37.04 (define @t275 () (or @t125 @t124 @t254)) % 36.84/37.04 (define @t276 () (not @t16)) % 36.84/37.04 (define @t277 () (not @t271)) % 36.84/37.04 (define @t278 () (tptp.sdtlseqdt0 tptp.xm tptp.xq)) % 36.84/37.04 (define @t279 () (not @t278)) % 36.84/37.04 (define @t280 () (or @t132 @t164 @t134 @t279 @t277 @t205)) % 36.84/37.04 (define @t281 () (= tptp.xm tptp.xq)) % 36.84/37.04 (define @t282 () (not @t281)) % 36.84/37.04 (define @t283 () (and @t282 @t278)) % 36.84/37.04 (define @t284 () (tptp.sdtlseqdt0 tptp.xq tptp.xm)) % 36.84/37.04 (define @t285 () (and @t282 @t284)) % 36.84/37.04 (define @t286 () (or @t132 @t164 @t278 @t285)) % 36.84/37.04 (define @t287 () (= tptp.xq tptp.xm)) % 36.84/37.04 (define @t288 () (not @t287)) % 36.84/37.04 (define @t289 () (and @t288 @t278)) % 36.84/37.04 (define @t290 () (or @t164 @t132 @t284 @t289)) % 36.84/37.04 (define @t291 () (or @t164 @t132 @t284 @t283)) % 36.84/37.04 (define @t292 () (= tptp.sz00 tptp.xn)) % 36.84/37.04 (define @t293 () (or @t125 @t124 @t254 @t40 @t30 @t272 @t70)) % 36.84/37.04 (define @t294 () (or @t40 @t30 @t272 @t70)) % 36.84/37.04 (define @t295 () (not @t71)) % 36.84/37.04 (define @t296 () (or @t208 @t295 @t272)) % 36.84/37.04 (define @t297 () (tptp.sdtasdt0 tptp.xq @t107)) % 36.84/37.04 (define @t298 () (tptp.sdtlseqdt0 @t297 @t129)) % 36.84/37.04 (define @t299 () (not (= @t297 @t129))) % 36.84/37.04 (define @t300 () (tptp.sdtasdt0 @t107 tptp.xq)) % 36.84/37.04 (define @t301 () (tptp.sdtlseqdt0 @t300 @t130)) % 36.84/37.04 (define @t302 () (not (= @t300 @t130))) % 36.84/37.04 (define @t303 () (and @t302 @t301 @t299 @t298)) % 36.84/37.04 (define @t304 () (not @t284)) % 36.84/37.04 (define @t305 () (or @t134 @t164 @t132 (= @t107 tptp.sz00) @t287 @t304 @t303)) % 36.84/37.04 (define @t306 () (forall @t17 @t293)) % 36.84/37.04 (define @t307 () (= @t130 @t300)) % 36.84/37.04 (define @t308 () (and (not @t307) @t301 (not (= @t129 @t297)) @t298)) % 36.84/37.04 (define @t309 () (= tptp.sz00 @t107)) % 36.84/37.04 (define @t310 () (or @t134 @t164 @t132 @t309 @t281 @t304 @t308)) % 36.84/37.04 (define @t311 () (@list @t306)) % 36.84/37.04 (define @t312 () (tptp.sdtlseqdt0 @t130 @t100)) % 36.84/37.04 (define @t313 () (= @t130 @t100)) % 36.84/37.04 (define @t314 () (not @t313)) % 36.84/37.04 (define @t315 () (tptp.sdtlseqdt0 @t129 @t100)) % 36.84/37.04 (define @t316 () (not (= @t129 @t100))) % 36.84/37.04 (define @t317 () (and @t316 @t315 @t314 @t312)) % 36.84/37.04 (define @t318 () (not @t201)) % 36.84/37.04 (define @t319 () (= @t107 tptp.xm)) % 36.84/37.04 (define @t320 () (or @t132 @t134 @t132 @t92 @t319 @t318 @t317)) % 36.84/37.04 (define @t321 () (@list tptp.xm @t107 tptp.xm)) % 36.84/37.04 (define @t322 () (and @t198 @t315 @t195 @t312)) % 36.84/37.04 (define @t323 () (= tptp.sz00 tptp.xm)) % 36.84/37.04 (define @t324 () (or @t132 @t134 @t132 @t323 @t202 @t318 @t322)) % 36.84/37.04 (define @t325 () (or @t125 @t124 @t254 @t26)) % 36.84/37.04 (define @t326 () (or @t168 @t164 @t164 (= @t300 @t110))) % 36.84/37.04 (define @t327 () (forall @t17 @t325)) % 36.84/37.04 (define @t328 () (= @t110 @t300)) % 36.84/37.04 (define @t329 () (or @t168 @t164 @t164 @t328)) % 36.84/37.04 (define @t330 () (not @t301)) % 36.84/37.04 (define @t331 () (tptp.sdtlseqdt0 @t100 @t130)) % 36.84/37.04 (define @t332 () (not @t328)) % 36.84/37.04 (define @t333 () (not @t111)) % 36.84/37.04 (define @t334 () (not @t331)) % 36.84/37.04 (define @t335 () (and @t111 @t328 @t334)) % 36.84/37.04 (define @t336 () (tptp.aNaturalNumber0 @t130)) % 36.84/37.04 (define @t337 () (or @t134 @t132 @t336)) % 36.84/37.04 (define @t338 () (not @t50)) % 36.84/37.04 (define @t339 () (or @t125 @t124 @t273 @t338 @t49)) % 36.84/37.04 (define @t340 () (or @t273 @t338 @t49)) % 36.84/37.04 (define @t341 () (not @t312)) % 36.84/37.04 (define @t342 () (not @t336)) % 36.84/37.04 (define @t343 () (or @t342 @t153 @t341 @t334 @t313)) % 36.84/37.04 (define @t344 () (forall @t8 @t339)) % 36.84/37.04 (define @t345 () (or @t342 @t153 @t341 @t334 @t194)) % 36.84/37.04 (define @t346 () (@list @t344)) % 36.84/37.04 (define @t347 () (not @t205)) % 36.84/37.04 (define @t348 () (or @t134 @t132 @t318 @t347 @t319)) % 36.84/37.04 (define @t349 () (or @t134 @t132 @t318 @t347 @t202)) % 36.84/37.04 (define @t350 () (tptp.sdtpldt0 tptp.sz00 tptp.xm)) % 36.84/37.04 (define @t351 () (= tptp.xm @t350)) % 36.84/37.04 (define @t352 () (and (= tptp.xm (tptp.sdtpldt0 tptp.xm tptp.sz00)) @t351)) % 36.84/37.04 (define @t353 () (or @t132 @t352)) % 36.84/37.04 (define @t354 () (not @t351)) % 36.84/37.04 (define @t355 () (= false true)) % 36.84/37.04 (define @t356 () (and @t111 @t328 @t307 @t131 @t198)) % 36.84/37.04 (define @t357 () (and @t316 @t314)) % 36.84/37.04 (define @t358 () (or @t132 @t92 @t134 @t132 @t357 @t319)) % 36.84/37.04 (define @t359 () (and @t198 @t195)) % 36.84/37.04 (define @t360 () (or @t132 @t323 @t134 @t132 @t359 @t202)) % 36.84/37.04 (define @t361 () (not @t359)) % 36.84/37.04 (define @t362 () (not @t139)) % 36.84/37.04 (define @t363 () (= @t101 @t147)) % 36.84/37.04 (define @t364 () (not @t363)) % 36.84/37.04 (define @t365 () (= @t147 @t130)) % 36.84/37.04 (define @t366 () (and @t363 @t365 @t159 @t196 @t131)) % 36.84/37.04 (assume @p1 (forall @t3 (=> @t2 true))) % 36.84/37.04 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 36.84/37.04 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 36.84/37.04 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 36.84/37.04 (assume @p5 @t11) % 36.84/37.04 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 36.84/37.04 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 36.84/37.04 (assume @p8 @t22) % 36.84/37.04 (assume @p9 @t25) % 36.84/37.04 (assume @p10 @t27) % 36.84/37.04 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 36.84/37.04 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 36.84/37.04 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t29)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t23 @t28)))))) % 36.84/37.04 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t32) (= @t12 @t31)) @t30)))) % 36.84/37.04 (assume @p15 @t44) % 36.84/37.04 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t40 @t45))))) % 36.84/37.04 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t40 @t45))))) % 36.84/37.04 (assume @p18 (forall @t8 (=> @t7 (= @t48 (exists @t47 @t46))))) % 36.84/37.04 (assume @p19 (forall @t8 (=> @t7 (=> @t48 (forall @t47 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t46)))))) % 36.84/37.04 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 36.84/37.04 (assume @p21 @t53) % 36.84/37.04 (assume @p22 @t58) % 36.84/37.04 (assume @p23 @t64) % 36.84/37.04 (assume @p24 (forall @t8 (=> @t7 (=> @t67 (forall @t47 (=> @t15 (and (not (= @t31 @t65)) (tptp.sdtlseqdt0 @t31 @t65) (not (= @t32 @t14)) (tptp.sdtlseqdt0 @t32 @t14)))))))) % 36.84/37.04 (assume @p25 @t74) % 36.84/37.04 (assume @p26 (forall @t3 (=> @t2 (or @t40 @t75 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 36.84/37.04 (assume @p27 @t78) % 36.84/37.04 (assume @p28 (forall @t8 (=> @t7 (=> @t79 true)))) % 36.84/37.04 (assume @p29 (forall @t8 (=> @t7 (=> @t67 @t79)))) % 36.84/37.04 (assume @p30 (forall @t8 (=> @t7 (= @t81 (exists @t47 @t80))))) % 36.84/37.04 (assume @p31 (forall @t8 (=> @t7 (=> @t83 (forall @t47 (= (= @t13 @t82) @t80)))))) % 36.84/37.04 (assume @p32 (forall @t17 (=> @t16 (=> (and @t81 (tptp.doDivides0 @t4 @t13)) @t84)))) % 36.84/37.04 (assume @p33 (forall @t17 (=> @t16 (=> (and @t81 @t84) @t85)))) % 36.84/37.04 (assume @p34 (forall @t17 (=> @t16 (=> (and @t81 @t85) @t84)))) % 36.84/37.04 (assume @p35 (forall @t8 (=> @t7 (=> (and @t81 @t86) @t48)))) % 36.84/37.04 (assume @p36 (forall @t8 (=> @t7 (=> @t83 (forall @t47 (=> @t15 (= (tptp.sdtasdt0 @t13 @t82) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 36.84/37.04 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t41 @t89 (forall @t88 (=> (and @t6 @t87) (or (= @t4 tptp.sz10) @t59)))))))) % 36.84/37.04 (assume @p38 (forall @t3 (=> (and @t2 @t41 @t89) (exists @t88 (and @t6 @t87 (tptp.isPrime0 @t4)))))) % 36.84/37.04 (assume @p39 (forall @t17 (=> @t16 (=> (and @t90 (tptp.doDivides0 @t13 @t9)) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t4)))))) % 36.84/37.04 (assume @p40 (and @t96 @t95 @t94 @t93 (not @t92) (not @t91))) % 36.84/37.04 (assume @p41 (forall @t17 (=> (and @t2 @t6 @t15 @t41 @t86 (not (= @t13 tptp.sz00))) (=> (= (tptp.sdtasdt0 @t13 (tptp.sdtasdt0 @t4 @t4)) (tptp.sdtasdt0 @t1 @t1)) (=> (tptp.iLess0 @t1 tptp.xn) (not (or (and (not (= @t13 tptp.sz10)) (forall (@list @t97) (=> (and (tptp.aNaturalNumber0 @t97) (exists (@list @t98) (and (tptp.aNaturalNumber0 @t98) (= @t13 (tptp.sdtasdt0 @t97 @t98)))) (tptp.doDivides0 @t97 @t13)) (or (= @t97 tptp.sz10) (= @t97 @t13))))) @t90))))))) % 36.84/37.04 (assume @p42 @t102) % 36.84/37.04 (assume @p43 (and (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t88 (and @t6 (= tptp.xp @t9))) (tptp.doDivides0 @t1 tptp.xp))) (or @t75 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp))) % 36.84/37.04 (assume @p44 (and (exists @t3 (and @t2 (= @t99 @t103))) (tptp.doDivides0 tptp.xp @t99) @t106 (tptp.doDivides0 tptp.xp tptp.xn))) % 36.84/37.04 (assume @p45 (and @t108 (= tptp.xn @t107) (= tptp.xq (tptp.sdtsldt0 tptp.xn tptp.xp)))) % 36.84/37.04 (assume @p46 @t111) % 36.84/37.04 (assume @p47 @t123) % 36.84/37.04 (assume @p48 true) % 36.84/37.04 (step @p49 :rule and_elim :premises (@p45) :args (1)) % 36.84/37.04 (step @p50 :rule cong :premises (@p49 @p49) :args (@t99)) % 36.84/37.04 (step @p51 :rule refl :args (@t101)) % 36.84/37.04 (step @p52 :rule cong :premises (@p51 @p50) :args (@t102)) % 36.84/37.04 (step @p53 :rule eq_resolve :premises (@p42 @p52)) % 36.84/37.04 (step @p54 :rule aci_norm :args ((= (or @t126 @t24) (or @t125 @t124 @t24)))) % 36.84/37.04 (step @p55 :rule refl :args (@t24)) % 36.84/37.04 (step @p56 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 36.84/37.04 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t127 @t24))) % 36.84/37.04 (step @p58 :rule trans :premises (@p57 @p54)) % 36.84/37.04 (step @p59 :rule bool-impl-elim :args (@t7 @t24)) % 36.84/37.04 (step @p60 :rule trans :premises (@p59 @p58)) % 36.84/37.04 (step @p61 :rule cong :premises (@p60) :args (@t25)) % 36.84/37.04 (step @p62 :rule eq_resolve :premises (@p9 @p61)) % 36.84/37.04 (step @p63 :rule instantiate :premises (@p62) :args (@t128)) % 36.84/37.04 (step @p64 :rule and_elim :premises (@p40) :args (1)) % 36.84/37.04 (step @p65 :rule cong :premises (@p49) :args (@t96)) % 36.84/37.04 (step @p66 :rule and_elim :premises (@p40) :args (0)) % 36.84/37.04 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 36.84/37.04 (step @p68 :rule cnf_or_pos :args (@t135)) % 36.84/37.04 (step @p69 :rule reordering :premises (@p68) :args ((or @t134 @t132 @t131 (not @t135)))) % 36.84/37.04 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p64 @p63) :args (@t131 @t136 (@list @t133 @t95 @t135))) % 36.84/37.04 (step @p71 :rule bool-impl-elim :args (@t2 @t137)) % 36.84/37.04 (step @p72 :rule cong :premises (@p71) :args ((forall @t3 (=> @t2 @t137)))) % 36.84/37.04 (step @p73 :rule refl :args (@t18)) % 36.84/37.04 (step @p74 :rule eq-symm :args (@t19 @t1)) % 36.84/37.04 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t20)) % 36.84/37.04 (step @p76 :rule refl :args (@t2)) % 36.84/37.04 (step @p77 :rule cong :premises (@p76 @p75) :args (@t21)) % 36.84/37.04 (step @p78 :rule cong :premises (@p77) :args (@t22)) % 36.84/37.04 (step @p79 :rule trans :premises (@p78 @p72)) % 36.84/37.04 (step @p80 :rule eq_resolve :premises (@p8 @p79)) % 36.84/37.04 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t107))) % 36.84/37.04 (step @p82 :rule cnf_or_pos :args (@t141)) % 36.84/37.04 (step @p83 :rule reordering :premises (@p82) :args ((or @t134 @t140 (not @t141)))) % 36.84/37.04 (step @p84 :rule chain_m_resolution :premises (@p83 @p67 @p81) :args (@t140 @t142 (@list @t133 @t141))) % 36.84/37.04 (step @p85 :rule cnf_and_pos :args (@t140 1)) % 36.84/37.04 (step @p86 :rule reordering :premises (@p85) :args ((or @t139 (not @t140)))) % 36.84/37.04 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t139 @t143 (@list @t140))) % 36.84/37.04 (step @p88 :rule aci_norm :args ((= (or @t126 @t146) @t145))) % 36.84/37.04 (step @p89 :rule refl :args (@t146)) % 36.84/37.04 (step @p90 :rule nary_cong :premises (@p56 @p89) :args ((or @t127 @t146))) % 36.84/37.04 (step @p91 :rule trans :premises (@p90 @p88)) % 36.84/37.04 (step @p92 :rule bool-impl-elim :args (@t7 @t146)) % 36.84/37.04 (step @p93 :rule trans :premises (@p92 @p91)) % 36.84/37.04 (step @p94 :rule cong :premises (@p93) :args ((forall @t8 (=> @t7 @t146)))) % 36.84/37.04 (step @p95 :rule refl :args (@t50)) % 36.84/37.04 (step @p96 :rule eq-symm :args (@t4 @t1)) % 36.84/37.04 (step @p97 :rule cong :premises (@p96) :args (@t60)) % 36.84/37.04 (step @p98 :rule nary_cong :premises (@p97 @p95) :args (@t61)) % 36.84/37.04 (step @p99 :rule refl :args (@t48)) % 36.84/37.04 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t62)) % 36.84/37.04 (step @p101 :rule refl :args (@t7)) % 36.84/37.04 (step @p102 :rule cong :premises (@p101 @p100) :args (@t63)) % 36.84/37.04 (step @p103 :rule cong :premises (@p102) :args (@t64)) % 36.84/37.04 (step @p104 :rule trans :premises (@p103 @p94)) % 36.84/37.04 (step @p105 :rule eq_resolve :premises (@p23 @p104)) % 36.84/37.04 (step @p106 :rule refl :args (@t148)) % 36.84/37.04 (step @p107 :rule eq-symm :args (@t147 @t100)) % 36.84/37.04 (step @p108 :rule cong :premises (@p107) :args (@t149)) % 36.84/37.04 (step @p109 :rule nary_cong :premises (@p108 @p106) :args (@t150)) % 36.84/37.04 (step @p110 :rule refl :args (@t151)) % 36.84/37.04 (step @p111 :rule refl :args (@t153)) % 36.84/37.04 (step @p112 :rule refl :args (@t155)) % 36.84/37.04 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109) :args (@t156)) % 36.84/37.04 (step @p114 :rule refl :args (@t157)) % 36.84/37.04 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t157 @t156))) % 36.84/37.04 (assume-push @p772 @t157) % 36.84/37.04 (step @p117 :rule instantiate :premises (@p105) :args ((@list @t147 @t100))) % 36.84/37.04 (step-pop @p773 :rule scope :premises (@p117)) % 36.84/37.04 (step @p118 :rule process_scope :premises (@p773) :args (@t156)) % 36.84/37.04 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 36.84/37.04 (step @p121 :rule implies_elim :premises (@p120)) % 36.84/37.04 (step @p122 :rule chain_m_resolution :premises (@p121 @p105) :args (@t161 @t143 @t162)) % 36.84/37.04 (step @p123 :rule aci_norm :args ((= (or @t126 @t10) (or @t125 @t124 @t10)))) % 36.84/37.04 (step @p124 :rule refl :args (@t10)) % 36.84/37.04 (step @p125 :rule nary_cong :premises (@p56 @p124) :args ((or @t127 @t10))) % 36.84/37.04 (step @p126 :rule trans :premises (@p125 @p123)) % 36.84/37.04 (step @p127 :rule bool-impl-elim :args (@t7 @t10)) % 36.84/37.04 (step @p128 :rule trans :premises (@p127 @p126)) % 36.84/37.04 (step @p129 :rule cong :premises (@p128) :args (@t11)) % 36.84/37.04 (step @p130 :rule eq_resolve :premises (@p5 @p129)) % 36.84/37.04 (step @p131 :rule instantiate :premises (@p130) :args ((@list tptp.xp @t110))) % 36.84/37.04 (step @p132 :rule instantiate :premises (@p130) :args ((@list tptp.xp @t109))) % 36.84/37.04 (step @p133 :rule instantiate :premises (@p130) :args ((@list tptp.xq tptp.xq))) % 36.84/37.04 (step @p134 :rule and_elim :premises (@p45) :args (0)) % 36.84/37.04 (step @p135 :rule cnf_or_pos :args (@t165)) % 36.84/37.04 (step @p136 :rule factoring :premises (@p135)) % 36.84/37.04 (step @p137 :rule reordering :premises (@p136) :args ((or @t164 @t163 (not @t165)))) % 36.84/37.04 (step @p138 :rule chain_m_resolution :premises (@p137 @p134 @p133) :args (@t163 @t142 (@list @t108 @t165))) % 36.84/37.04 (step @p139 :rule and_elim :premises (@p40) :args (2)) % 36.84/37.04 (step @p140 :rule cnf_or_pos :args (@t169)) % 36.84/37.04 (step @p141 :rule reordering :premises (@p140) :args ((or @t168 @t167 @t166 (not @t169)))) % 36.84/37.04 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p138 @p132) :args (@t166 @t136 (@list @t94 @t163 @t169))) % 36.84/37.04 (step @p143 :rule cnf_or_pos :args (@t172)) % 36.84/37.04 (step @p144 :rule reordering :premises (@p143) :args ((or @t168 @t171 @t170 (not @t172)))) % 36.84/37.04 (step @p145 :rule chain_m_resolution :premises (@p144 @p139 @p142 @p131) :args (@t170 @t136 (@list @t94 @t166 @t172))) % 36.84/37.04 (step @p146 :rule true_intro :premises (@p145)) % 36.84/37.04 (step @p147 :rule refl :args (tptp.xp)) % 36.84/37.04 (step @p148 :rule cong :premises (@p147 @p46) :args (@t101)) % 36.84/37.04 (step @p149 :rule symm :premises (@p53)) % 36.84/37.04 (step @p150 :rule trans :premises (@p149 @p148)) % 36.84/37.04 (step @p151 :rule cong :premises (@p150) :args (@t154)) % 36.84/37.04 (step @p152 :rule trans :premises (@p151 @p146)) % 36.84/37.04 (step @p153 :rule true_elim :premises (@p152)) % 36.84/37.04 (step @p154 :rule instantiate :premises (@p130) :args ((@list tptp.xm tptp.xm))) % 36.84/37.04 (step @p155 :rule cnf_or_pos :args (@t173)) % 36.84/37.04 (step @p156 :rule factoring :premises (@p155)) % 36.84/37.04 (step @p157 :rule reordering :premises (@p156) :args ((or @t132 @t152 (not @t173)))) % 36.84/37.04 (step @p158 :rule chain_m_resolution :premises (@p157 @p64 @p154) :args (@t152 @t142 (@list @t95 @t173))) % 36.84/37.04 (step @p159 :rule refl :args (@t100)) % 36.84/37.04 (step @p160 :rule cong :premises (@p50 @p159) :args (@t112)) % 36.84/37.04 (step @p161 :rule refl :args (@t1)) % 36.84/37.04 (step @p162 :rule cong :premises (@p50 @p161) :args (@t113)) % 36.84/37.04 (step @p163 :rule cong :premises (@p159 @p162) :args (@t174)) % 36.84/37.04 (step @p164 :rule cong :premises (@p163) :args (@t175)) % 36.84/37.04 (step @p165 :rule refl :args (@t125)) % 36.84/37.04 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t176)) % 36.84/37.04 (step @p167 :rule cong :premises (@p166) :args (@t177)) % 36.84/37.04 (step @p168 :rule cong :premises (@p167) :args (@t178)) % 36.84/37.04 (step @p169 :rule nary_cong :premises (@p168 @p160) :args (@t179)) % 36.84/37.04 (step @p170 :rule refl :args (tptp.xm)) % 36.84/37.04 (step @p171 :rule cong :premises (@p49 @p170) :args (@t117)) % 36.84/37.04 (step @p172 :rule cong :premises (@p49 @p161) :args (@t118)) % 36.84/37.04 (step @p173 :rule cong :premises (@p170 @p172) :args (@t180)) % 36.84/37.04 (step @p174 :rule cong :premises (@p173) :args (@t181)) % 36.84/37.04 (step @p175 :rule nary_cong :premises (@p165 @p174) :args (@t182)) % 36.84/37.04 (step @p176 :rule cong :premises (@p175) :args (@t183)) % 36.84/37.04 (step @p177 :rule cong :premises (@p176) :args (@t184)) % 36.84/37.04 (step @p178 :rule nary_cong :premises (@p177 @p171) :args (@t185)) % 36.84/37.04 (step @p179 :rule cong :premises (@p178 @p169) :args (@t186)) % 36.84/37.04 (step @p180 :rule cong :premises (@p179) :args ((not @t186))) % 36.84/37.04 (step @p181 :rule refl :args (@t112)) % 36.84/37.04 (step @p182 :rule bool-and-de-morgan :args (@t2 @t174 true)) % 36.84/37.04 (step @p183 :rule cong :premises (@p182) :args (@t188)) % 36.84/37.04 (step @p184 :rule cong :premises (@p183) :args (@t189)) % 36.84/37.04 (step @p185 :rule exists-elim :args ((= (exists @t3 @t187) @t189))) % 36.84/37.04 (step @p186 :rule trans :premises (@p185 @p184)) % 36.84/37.04 (step @p187 :rule eq-symm :args (@t113 @t100)) % 36.84/37.04 (step @p188 :rule nary_cong :premises (@p76 @p187) :args (@t114)) % 36.84/37.04 (step @p189 :rule cong :premises (@p188) :args (@t115)) % 36.84/37.04 (step @p190 :rule trans :premises (@p189 @p186)) % 36.84/37.04 (step @p191 :rule nary_cong :premises (@p190 @p181) :args (@t116)) % 36.84/37.04 (step @p192 :rule refl :args (@t117)) % 36.84/37.04 (step @p193 :rule bool-and-de-morgan :args (@t2 @t180 true)) % 36.84/37.04 (step @p194 :rule cong :premises (@p193) :args (@t191)) % 36.84/37.04 (step @p195 :rule cong :premises (@p194) :args (@t192)) % 36.84/37.04 (step @p196 :rule exists-elim :args ((= (exists @t3 @t190) @t192))) % 36.84/37.04 (step @p197 :rule trans :premises (@p196 @p195)) % 36.84/37.04 (step @p198 :rule eq-symm :args (@t118 tptp.xm)) % 36.84/37.04 (step @p199 :rule nary_cong :premises (@p76 @p198) :args (@t119)) % 36.84/37.04 (step @p200 :rule cong :premises (@p199) :args (@t120)) % 36.84/37.04 (step @p201 :rule trans :premises (@p200 @p197)) % 36.84/37.04 (step @p202 :rule nary_cong :premises (@p201 @p192) :args (@t121)) % 36.84/37.04 (step @p203 :rule cong :premises (@p202 @p191) :args (@t122)) % 36.84/37.04 (step @p204 :rule cong :premises (@p203) :args (@t123)) % 36.84/37.04 (step @p205 :rule trans :premises (@p204 @p180)) % 36.84/37.04 (step @p206 :rule eq_resolve :premises (@p47 @p205)) % 36.84/37.04 (step @p207 :rule not_implies_elim2 :premises (@p206)) % 36.84/37.04 (step @p208 :rule not_or_elim :premises (@p207) :args (1)) % 36.84/37.04 (step @p209 :rule cnf_or_pos :args (@t161)) % 36.84/37.04 (step @p210 :rule reordering :premises (@p209) :args ((or @t151 @t153 @t155 @t160 (not @t161)))) % 36.84/37.04 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p158 @p153 @p122) :args (@t160 @t193 (@list @t151 @t152 @t154 @t161))) % 36.84/37.04 (step @p212 :rule cnf_and_pos :args (@t160 0)) % 36.84/37.04 (step @p213 :rule reordering :premises (@p212) :args ((or @t159 (not @t160)))) % 36.84/37.04 (step @p214 :rule chain_m_resolution :premises (@p213 @p211) :args (@t159 @t143 (@list @t160))) % 36.84/37.04 (step @p215 :rule refl :args (@t195)) % 36.84/37.04 (step @p216 :rule bool-double-not-elim :args (@t196)) % 36.84/37.04 (step @p217 :rule refl :args (@t197)) % 36.84/37.04 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215) :args ((or @t197 @t199 @t195))) % 36.84/37.04 (assume-push @p774 @t131) % 36.84/37.04 (assume-push @p775 @t198) % 36.84/37.04 (assume-push @p776 @t198) % 36.84/37.04 (assume-push @p777 @t131) % 36.84/37.04 (step @p223 :rule false_intro :premises (@p775)) % 36.84/37.04 (step @p224 :rule cong :premises (@p159 @p70) :args (@t194)) % 36.84/37.04 (step @p225 :rule trans :premises (@p224 @p223)) % 36.84/37.04 (step @p226 :rule false_elim :premises (@p225)) % 36.84/37.04 (step-pop @p778 :rule scope :premises (@p226)) % 36.84/37.04 (step-pop @p779 :rule scope :premises (@p778)) % 36.84/37.04 (step @p227 :rule process_scope :premises (@p779) :args (@t195)) % 36.84/37.04 (step @p230 :rule and_intro :premises (@p775 @p70)) % 36.84/37.04 (step @p231 :rule modus_ponens :premises (@p230 @p227)) % 36.84/37.04 (step-pop @p780 :rule scope :premises (@p231)) % 36.84/37.04 (step-pop @p781 :rule scope :premises (@p780)) % 36.84/37.04 (step @p232 :rule process_scope :premises (@p781) :args (@t195)) % 36.84/37.04 (step @p235 :rule implies_elim :premises (@p232)) % 36.84/37.04 (step @p236 :rule cnf_and_neg :args (@t200)) % 36.84/37.04 (step @p237 :rule resolution :premises (@p236 @p235) :args (true @t200)) % 36.84/37.04 (step @p238 :rule eq_resolve :premises (@p237 @p218)) % 36.84/37.04 (step @p239 :rule reordering :premises (@p238) :args ((or @t196 @t195 @t197))) % 36.84/37.04 (step @p240 :rule instantiate :premises (@p105) :args ((@list tptp.xm @t107))) % 36.84/37.04 (step @p241 :rule cnf_or_pos :args (@t206)) % 36.84/37.04 (step @p242 :rule reordering :premises (@p241) :args ((or @t134 @t132 @t205 @t204 (not @t206)))) % 36.84/37.04 (step @p243 :rule aci_norm :args ((= (or @t126 (or @t40 @t76)) @t207))) % 36.84/37.04 (step @p244 :rule refl :args (@t76)) % 36.84/37.04 (step @p245 :rule bool-double-not-elim :args (@t40)) % 36.84/37.04 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t208 @t76))) % 36.84/37.04 (step @p247 :rule bool-impl-elim :args (@t41 @t76)) % 36.84/37.04 (step @p248 :rule trans :premises (@p247 @p246)) % 36.84/37.04 (step @p249 :rule nary_cong :premises (@p56 @p248) :args ((or @t127 @t77))) % 36.84/37.04 (step @p250 :rule trans :premises (@p249 @p243)) % 36.84/37.04 (step @p251 :rule bool-impl-elim :args (@t7 @t77)) % 36.84/37.04 (step @p252 :rule trans :premises (@p251 @p250)) % 36.84/37.04 (step @p253 :rule cong :premises (@p252) :args (@t78)) % 36.84/37.04 (step @p254 :rule eq_resolve :premises (@p27 @p253)) % 36.84/37.04 (step @p255 :rule refl :args (@t212)) % 36.84/37.04 (step @p256 :rule eq-symm :args (tptp.xp tptp.sz00)) % 36.84/37.04 (step @p257 :rule refl :args (@t214)) % 36.84/37.04 (step @p258 :rule refl :args (@t168)) % 36.84/37.04 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256 @p255) :args (@t215)) % 36.84/37.04 (step @p260 :rule refl :args (@t216)) % 36.84/37.04 (step @p261 :rule cong :premises (@p260 @p259) :args ((=> @t216 @t215))) % 36.84/37.04 (assume-push @p782 @t216) % 36.84/37.04 (step @p263 :rule instantiate :premises (@p254) :args ((@list tptp.xp @t210))) % 36.84/37.04 (step-pop @p783 :rule scope :premises (@p263)) % 36.84/37.04 (step @p264 :rule process_scope :premises (@p783) :args (@t215)) % 36.84/37.04 (step @p266 :rule eq_resolve :premises (@p264 @p261)) % 36.84/37.04 (step @p267 :rule implies_elim :premises (@p266)) % 36.84/37.04 (step @p268 :rule chain_m_resolution :premises (@p267 @p254) :args (@t218 @t143 (@list @t216))) % 36.84/37.04 (step @p269 :rule eq-symm :args (@t107 @t103)) % 36.84/37.04 (step @p270 :rule cong :premises (@p269) :args (@t219)) % 36.84/37.04 (step @p271 :rule nary_cong :premises (@p165 @p270) :args (@t220)) % 36.84/37.04 (step @p272 :rule cong :premises (@p271) :args (@t221)) % 36.84/37.04 (step @p273 :rule cong :premises (@p272) :args ((not @t221))) % 36.84/37.04 (step @p274 :rule refl :args (@t103)) % 36.84/37.04 (step @p275 :rule cong :premises (@p49 @p274) :args (@t104)) % 36.84/37.04 (step @p276 :rule cong :premises (@p275) :args (@t222)) % 36.84/37.04 (step @p277 :rule nary_cong :premises (@p165 @p276) :args (@t223)) % 36.84/37.04 (step @p278 :rule cong :premises (@p277) :args (@t224)) % 36.84/37.04 (step @p279 :rule cong :premises (@p278) :args ((not @t224))) % 36.84/37.04 (step @p280 :rule trans :premises (@p279 @p273)) % 36.84/37.04 (step @p281 :rule bool-and-de-morgan :args (@t2 @t104 true)) % 36.84/37.04 (step @p282 :rule cong :premises (@p281) :args (@t225)) % 36.84/37.04 (step @p283 :rule cong :premises (@p282) :args (@t226)) % 36.84/37.04 (step @p284 :rule exists-elim :args ((= @t106 @t226))) % 36.84/37.04 (step @p285 :rule trans :premises (@p284 @p283)) % 36.84/37.04 (step @p286 :rule trans :premises (@p285 @p280)) % 36.84/37.04 (step @p287 :rule and_elim :premises (@p44) :args (2)) % 36.84/37.04 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 36.84/37.04 (step @p289 :rule refl :args (@t231)) % 36.84/37.04 (step @p290 :rule bool-double-not-elim :args (@t209)) % 36.84/37.04 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or (not @t232) @t231))) % 36.84/37.04 (step @p292 :rule eq-symm :args (@t227 @t107)) % 36.84/37.04 (step @p293 :rule cong :premises (@p292) :args (@t233)) % 36.84/37.04 (step @p294 :rule nary_cong :premises (@p257 @p293) :args (@t234)) % 36.84/37.04 (step @p295 :rule cong :premises (@p294) :args (@t235)) % 36.84/37.04 (step @p296 :rule refl :args (@t232)) % 36.84/37.04 (step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t232 @t235))) % 36.84/37.04 (assume-push @p784 @t232) % 36.84/37.04 (step @p299 :rule skolemize :premises (@p288)) % 36.84/37.04 (step-pop @p785 :rule scope :premises (@p299)) % 36.84/37.04 (step @p300 :rule process_scope :premises (@p785) :args (@t235)) % 36.84/37.04 (step @p302 :rule eq_resolve :premises (@p300 @p297)) % 36.84/37.04 (step @p303 :rule implies_elim :premises (@p302)) % 36.84/37.04 (step @p304 :rule eq_resolve :premises (@p303 @p291)) % 36.84/37.04 (step @p305 :rule chain_m_resolution :premises (@p304 @p288) :args (@t231 @t236 (@list @t209))) % 36.84/37.04 (step @p306 :rule bool-double-not-elim :args (@t213)) % 36.84/37.04 (step @p307 :rule refl :args (@t230)) % 36.84/37.04 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t230 (not @t214)))) % 36.84/37.04 (step @p309 :rule cnf_or_neg :args (@t230 0)) % 36.84/37.04 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 36.84/37.04 (step @p311 :rule reordering :premises (@p310) :args ((or @t213 @t230))) % 36.84/37.04 (step @p312 :rule chain_m_resolution :premises (@p311 @p305) :args (@t213 @t236 @t237)) % 36.84/37.04 (step @p313 :rule and_elim :premises (@p40) :args (5)) % 36.84/37.04 (step @p314 :rule symm :premises (@p313)) % 36.84/37.04 (step @p315 :rule cnf_or_pos :args (@t218)) % 36.84/37.04 (step @p316 :rule reordering :premises (@p315) :args ((or @t217 @t168 @t214 @t212 (not @t218)))) % 36.84/37.04 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p139 @p312 @p268) :args (@t212 @t193 (@list @t217 @t94 @t213 @t218))) % 36.84/37.04 (step @p318 :rule true_intro :premises (@p317)) % 36.84/37.04 (step @p319 :rule aci_norm :args ((= @t246 @t244))) % 36.84/37.04 (step @p320 :rule cong :premises (@p319) :args (@t248)) % 36.84/37.04 (step @p321 :rule quant-merge-prenex :args ((= (forall @t3 @t250) @t248))) % 36.84/37.04 (step @p322 :rule alpha_equiv :args (@t251 (@list @t239 @t238) (@list @t4 @t13))) % 36.84/37.04 (step @p323 :rule refl :args (@t40)) % 36.84/37.04 (step @p324 :rule refl :args (@t125)) % 36.84/37.04 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322) :args (@t252)) % 36.84/37.04 (step @p326 :rule quant-miniscope-or :args ((= @t250 @t252))) % 36.84/37.04 (step @p327 :rule trans :premises (@p326 @p325)) % 36.84/37.04 (step @p328 :rule symm :premises (@p327)) % 36.84/37.04 (step @p329 :rule cong :premises (@p328) :args ((forall @t3 @t257))) % 36.84/37.04 (step @p330 :rule trans :premises (@p329 @p321)) % 36.84/37.04 (step @p331 :rule trans :premises (@p330 @p320)) % 36.84/37.04 (step @p332 :rule aci_norm :args ((= (or @t125 (or @t40 @t256)) @t257))) % 36.84/37.04 (step @p333 :rule refl :args (@t256)) % 36.84/37.04 (step @p334 :rule nary_cong :premises (@p245 @p333) :args ((or @t208 @t256))) % 36.84/37.04 (step @p335 :rule bool-impl-elim :args (@t41 @t256)) % 36.84/37.04 (step @p336 :rule trans :premises (@p335 @p334)) % 36.84/37.04 (step @p337 :rule nary_cong :premises (@p324 @p336) :args ((or @t125 @t258))) % 36.84/37.04 (step @p338 :rule trans :premises (@p337 @p332)) % 36.84/37.04 (step @p339 :rule bool-impl-elim :args (@t2 @t258)) % 36.84/37.04 (step @p340 :rule trans :premises (@p339 @p338)) % 36.84/37.04 (step @p341 :rule cong :premises (@p340) :args ((forall @t3 (=> @t2 @t258)))) % 36.84/37.04 (step @p342 :rule trans :premises (@p341 @p331)) % 36.84/37.04 (step @p343 :rule aci_norm :args ((= (or @t259 (or @t253 @t30)) @t255))) % 36.84/37.04 (step @p344 :rule refl :args (@t30)) % 36.84/37.04 (step @p345 :rule bool-or-de-morgan :args (@t34 @t33 false)) % 36.84/37.04 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or (not @t35) @t30))) % 36.84/37.04 (step @p347 :rule bool-impl-elim :args (@t35 @t30)) % 36.84/37.04 (step @p348 :rule trans :premises (@p347 @p346)) % 36.84/37.04 (step @p349 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 36.84/37.04 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t260 @t36))) % 36.84/37.04 (step @p351 :rule trans :premises (@p350 @p343)) % 36.84/37.04 (step @p352 :rule bool-impl-elim :args (@t37 @t36)) % 36.84/37.04 (step @p353 :rule trans :premises (@p352 @p351)) % 36.84/37.04 (step @p354 :rule cong :premises (@p353) :args (@t39)) % 36.84/37.04 (step @p355 :rule refl :args (@t41)) % 36.84/37.04 (step @p356 :rule cong :premises (@p355 @p354) :args (@t42)) % 36.84/37.04 (step @p357 :rule cong :premises (@p76 @p356) :args (@t43)) % 36.84/37.04 (step @p358 :rule cong :premises (@p357) :args (@t44)) % 36.84/37.04 (step @p359 :rule trans :premises (@p358 @p342)) % 36.84/37.04 (step @p360 :rule eq_resolve :premises (@p15 @p359)) % 36.84/37.04 (step @p361 :rule refl :args (@t261)) % 36.84/37.04 (step @p362 :rule refl :args (@t263)) % 36.84/37.04 (step @p363 :rule refl :args (@t164)) % 36.84/37.04 (step @p364 :rule nary_cong :premises (@p258 @p256 @p363 @p257 @p362 @p361) :args (@t264)) % 36.84/37.04 (step @p365 :rule refl :args (@t265)) % 36.84/37.04 (step @p366 :rule cong :premises (@p365 @p364) :args ((=> @t265 @t264))) % 36.84/37.04 (assume-push @p786 @t265) % 36.84/37.04 (step @p368 :rule instantiate :premises (@p360) :args ((@list tptp.xp tptp.xq @t210))) % 36.84/37.04 (step-pop @p787 :rule scope :premises (@p368)) % 36.84/37.04 (step @p369 :rule process_scope :premises (@p787) :args (@t264)) % 36.84/37.04 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 36.84/37.04 (step @p372 :rule implies_elim :premises (@p371)) % 36.84/37.04 (step @p373 :rule chain_m_resolution :premises (@p372 @p360) :args (@t266 @t143 @t267)) % 36.84/37.04 (step @p374 :rule bool-double-not-elim :args (@t228)) % 36.84/37.04 (step @p375 :rule nary_cong :premises (@p307 @p374) :args ((or @t230 (not @t229)))) % 36.84/37.04 (step @p376 :rule cnf_or_neg :args (@t230 1)) % 36.84/37.04 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 36.84/37.04 (step @p378 :rule reordering :premises (@p377) :args ((or @t228 @t230))) % 36.84/37.04 (step @p379 :rule chain_m_resolution :premises (@p378 @p305) :args (@t228 @t236 @t237)) % 36.84/37.04 (step @p380 :rule cnf_and_pos :args (@t263 0)) % 36.84/37.04 (step @p381 :rule reordering :premises (@p380) :args ((or @t229 @t268))) % 36.84/37.04 (step @p382 :rule chain_m_resolution :premises (@p381 @p379) :args (@t268 @t143 (@list @t228))) % 36.84/37.04 (step @p383 :rule cnf_or_pos :args (@t266)) % 36.84/37.04 (step @p384 :rule reordering :premises (@p383) :args ((or @t217 @t168 @t164 @t214 @t263 @t261 (not @t266)))) % 36.84/37.04 (step @p385 :rule chain_m_resolution :premises (@p384 @p314 @p139 @p134 @p312 @p382 @p373) :args (@t261 (@list true false false false true false) (@list @t217 @t94 @t108 @t213 @t263 @t266))) % 36.84/37.04 (step @p386 :rule cong :premises (@p385 @p147) :args (@t262)) % 36.84/37.04 (step @p387 :rule instantiate :premises (@p62) :args ((@list tptp.xp tptp.xq))) % 36.84/37.04 (step @p388 :rule cnf_or_pos :args (@t270)) % 36.84/37.04 (step @p389 :rule reordering :premises (@p388) :args ((or @t168 @t164 @t269 (not @t270)))) % 36.84/37.04 (step @p390 :rule chain_m_resolution :premises (@p389 @p139 @p134 @p387) :args (@t269 @t136 (@list @t94 @t108 @t270))) % 36.84/37.04 (step @p391 :rule trans :premises (@p390 @p386)) % 36.84/37.04 (step @p392 :rule cong :premises (@p385 @p391) :args (@t271)) % 36.84/37.04 (step @p393 :rule trans :premises (@p392 @p318)) % 36.84/37.04 (step @p394 :rule true_elim :premises (@p393)) % 36.84/37.04 (step @p395 :rule aci_norm :args ((= (or @t275 @t274) (or @t125 @t124 @t254 @t273 @t272 @t54)))) % 36.84/37.04 (step @p396 :rule aci_norm :args ((= (or (or @t273 @t272) @t54) @t274))) % 36.84/37.04 (step @p397 :rule refl :args (@t54)) % 36.84/37.04 (step @p398 :rule bool-and-de-morgan :args (@t48 @t55 true)) % 36.84/37.04 (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or (not @t56) @t54))) % 36.84/37.04 (step @p400 :rule trans :premises (@p399 @p396)) % 36.84/37.04 (step @p401 :rule bool-impl-elim :args (@t56 @t54)) % 36.84/37.04 (step @p402 :rule trans :premises (@p401 @p400)) % 36.84/37.04 (step @p403 :rule aci_norm :args ((= (or @t125 @t259) @t275))) % 36.84/37.04 (step @p404 :rule nary_cong :premises (@p324 @p349) :args ((or @t125 @t260))) % 36.84/37.04 (step @p405 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 36.84/37.04 (step @p406 :rule trans :premises (@p405 @p404)) % 36.84/37.04 (step @p407 :rule trans :premises (@p406 @p403)) % 36.84/37.04 (step @p408 :rule nary_cong :premises (@p407 @p402) :args ((or @t276 @t57))) % 36.84/37.04 (step @p409 :rule trans :premises (@p408 @p395)) % 36.84/37.04 (step @p410 :rule bool-impl-elim :args (@t16 @t57)) % 36.84/37.04 (step @p411 :rule trans :premises (@p410 @p409)) % 36.84/37.04 (step @p412 :rule cong :premises (@p411) :args (@t58)) % 36.84/37.04 (step @p413 :rule eq_resolve :premises (@p22 @p412)) % 36.84/37.04 (step @p414 :rule instantiate :premises (@p413) :args ((@list tptp.xm tptp.xq @t107))) % 36.84/37.04 (step @p415 :rule cnf_or_pos :args (@t280)) % 36.84/37.04 (step @p416 :rule reordering :premises (@p415) :args ((or @t134 @t132 @t164 @t205 @t279 @t277 (not @t280)))) % 36.84/37.04 (step @p417 :rule cnf_and_pos :args (@t204 0)) % 36.84/37.04 (step @p418 :rule reordering :premises (@p417) :args ((or @t203 (not @t204)))) % 36.84/37.04 (step @p419 :rule cnf_and_pos :args (@t283 1)) % 36.84/37.04 (step @p420 :rule reordering :premises (@p419) :args ((or @t278 (not @t283)))) % 36.84/37.04 (step @p421 :rule instantiate :premises (@p105) :args ((@list tptp.xm tptp.xq))) % 36.84/37.04 (step @p422 :rule cnf_or_pos :args (@t286)) % 36.84/37.04 (step @p423 :rule reordering :premises (@p422) :args ((or @t132 @t164 @t278 @t285 (not @t286)))) % 36.84/37.04 (step @p424 :rule refl :args (@t278)) % 36.84/37.04 (step @p425 :rule eq-symm :args (tptp.xq tptp.xm)) % 36.84/37.04 (step @p426 :rule cong :premises (@p425) :args (@t288)) % 36.84/37.04 (step @p427 :rule nary_cong :premises (@p426 @p424) :args (@t289)) % 36.84/37.04 (step @p428 :rule refl :args (@t284)) % 36.84/37.04 (step @p429 :rule refl :args (@t132)) % 36.84/37.04 (step @p430 :rule nary_cong :premises (@p363 @p429 @p428 @p427) :args (@t290)) % 36.84/37.04 (step @p431 :rule cong :premises (@p114 @p430) :args ((=> @t157 @t290))) % 36.84/37.04 (assume-push @p788 @t157) % 36.84/37.04 (step @p433 :rule instantiate :premises (@p105) :args ((@list tptp.xq tptp.xm))) % 36.84/37.04 (step-pop @p789 :rule scope :premises (@p433)) % 36.84/37.04 (step @p434 :rule process_scope :premises (@p789) :args (@t290)) % 36.84/37.04 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 36.84/37.04 (step @p437 :rule implies_elim :premises (@p436)) % 36.84/37.04 (step @p438 :rule chain_m_resolution :premises (@p437 @p105) :args (@t291 @t143 @t162)) % 36.84/37.04 (step @p439 :rule cnf_or_pos :args (@t291)) % 36.84/37.04 (step @p440 :rule reordering :premises (@p439) :args ((or @t132 @t164 @t284 @t283 (not @t291)))) % 36.84/37.04 (step @p441 :rule cnf_and_pos :args (@t285 0)) % 36.84/37.04 (step @p442 :rule reordering :premises (@p441) :args ((or @t282 (not @t285)))) % 36.84/37.04 (step @p443 :rule refl :args (tptp.sz00)) % 36.84/37.04 (step @p444 :rule cong :premises (@p443 @p49) :args (@t292)) % 36.84/37.04 (step @p445 :rule cong :premises (@p444) :args ((not @t292))) % 36.84/37.04 (step @p446 :rule eq-symm :args (tptp.xn tptp.sz00)) % 36.84/37.04 (step @p447 :rule cong :premises (@p446) :args (@t93)) % 36.84/37.04 (step @p448 :rule trans :premises (@p447 @p445)) % 36.84/37.04 (step @p449 :rule and_elim :premises (@p40) :args (3)) % 36.84/37.04 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 36.84/37.04 (step @p451 :rule aci_norm :args ((= (or @t275 @t294) @t293))) % 36.84/37.04 (step @p452 :rule aci_norm :args ((= (or (or @t40 @t30 @t272) @t70) @t294))) % 36.84/37.04 (step @p453 :rule refl :args (@t70)) % 36.84/37.04 (step @p454 :rule refl :args (@t272)) % 36.84/37.04 (step @p455 :rule bool-double-not-elim :args (@t30)) % 36.84/37.04 (step @p456 :rule nary_cong :premises (@p245 @p455 @p454) :args (@t296)) % 36.84/37.04 (step @p457 :rule aci_norm :args ((= (or @t208 (or @t295 @t272)) @t296))) % 36.84/37.04 (step @p458 :rule trans :premises (@p457 @p456)) % 36.84/37.04 (step @p459 :rule bool-and-de-morgan :args (@t71 @t55 true)) % 36.84/37.04 (step @p460 :rule refl :args (@t208)) % 36.84/37.04 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((or @t208 (not (and @t71 @t55))))) % 36.84/37.04 (step @p462 :rule bool-and-de-morgan :args (@t41 @t71 (and @t55))) % 36.84/37.04 (step @p463 :rule trans :premises (@p462 @p461)) % 36.84/37.04 (step @p464 :rule trans :premises (@p463 @p458)) % 36.84/37.04 (step @p465 :rule nary_cong :premises (@p464 @p453) :args ((or (not @t72) @t70))) % 36.84/37.04 (step @p466 :rule trans :premises (@p465 @p452)) % 36.84/37.04 (step @p467 :rule bool-impl-elim :args (@t72 @t70)) % 36.84/37.04 (step @p468 :rule trans :premises (@p467 @p466)) % 36.84/37.04 (step @p469 :rule nary_cong :premises (@p407 @p468) :args ((or @t276 @t73))) % 36.84/37.04 (step @p470 :rule trans :premises (@p469 @p451)) % 36.84/37.04 (step @p471 :rule bool-impl-elim :args (@t16 @t73)) % 36.84/37.04 (step @p472 :rule trans :premises (@p471 @p470)) % 36.84/37.04 (step @p473 :rule cong :premises (@p472) :args (@t74)) % 36.84/37.04 (step @p474 :rule eq_resolve :premises (@p25 @p473)) % 36.84/37.04 (step @p475 :rule refl :args (@t298)) % 36.84/37.04 (step @p476 :rule eq-symm :args (@t297 @t129)) % 36.84/37.04 (step @p477 :rule cong :premises (@p476) :args (@t299)) % 36.84/37.04 (step @p478 :rule refl :args (@t301)) % 36.84/37.04 (step @p479 :rule eq-symm :args (@t300 @t130)) % 36.84/37.04 (step @p480 :rule cong :premises (@p479) :args (@t302)) % 36.84/37.04 (step @p481 :rule nary_cong :premises (@p480 @p478 @p477 @p475) :args (@t303)) % 36.84/37.04 (step @p482 :rule refl :args (@t304)) % 36.84/37.04 (step @p483 :rule eq-symm :args (@t107 tptp.sz00)) % 36.84/37.04 (step @p484 :rule refl :args (@t134)) % 36.84/37.04 (step @p485 :rule nary_cong :premises (@p484 @p363 @p429 @p483 @p425 @p482 @p481) :args (@t305)) % 36.84/37.04 (step @p486 :rule refl :args (@t306)) % 36.84/37.04 (step @p487 :rule cong :premises (@p486 @p485) :args ((=> @t306 @t305))) % 36.84/37.04 (assume-push @p790 @t306) % 36.84/37.04 (step @p489 :rule instantiate :premises (@p474) :args ((@list @t107 tptp.xq tptp.xm))) % 36.84/37.04 (step-pop @p791 :rule scope :premises (@p489)) % 36.84/37.04 (step @p490 :rule process_scope :premises (@p791) :args (@t305)) % 36.84/37.04 (step @p492 :rule eq_resolve :premises (@p490 @p487)) % 36.84/37.04 (step @p493 :rule implies_elim :premises (@p492)) % 36.84/37.04 (step @p494 :rule chain_m_resolution :premises (@p493 @p474) :args (@t310 @t143 @t311)) % 36.84/37.04 (step @p495 :rule cnf_or_pos :args (@t310)) % 36.84/37.04 (step @p496 :rule reordering :premises (@p495) :args ((or @t309 @t134 @t132 @t164 @t304 @t281 @t308 (not @t310)))) % 36.84/37.04 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p134 @p450 @p64 @p67 @p442 @p440 @p438 @p134 @p64 @p423 @p421 @p134 @p64 @p420) :args ((or @t278 @t308) (@list false false true false false true false false false false false false false false true) (@list @t310 @t108 @t309 @t95 @t133 @t281 @t284 @t291 @t108 @t95 @t285 @t286 @t108 @t95 @t283))) % 36.84/37.04 (step @p498 :rule and_elim :premises (@p40) :args (4)) % 36.84/37.04 (step @p499 :rule symm :premises (@p498)) % 36.84/37.04 (step @p500 :rule not_implies_elim1 :premises (@p206)) % 36.84/37.04 (step @p501 :rule and_elim :premises (@p500) :args (1)) % 36.84/37.04 (step @p502 :rule refl :args (@t312)) % 36.84/37.04 (step @p503 :rule eq-symm :args (@t130 @t100)) % 36.84/37.04 (step @p504 :rule cong :premises (@p503) :args (@t314)) % 36.84/37.04 (step @p505 :rule refl :args (@t315)) % 36.84/37.04 (step @p506 :rule eq-symm :args (@t129 @t100)) % 36.84/37.04 (step @p507 :rule cong :premises (@p506) :args (@t316)) % 36.84/37.04 (step @p508 :rule nary_cong :premises (@p507 @p505 @p504 @p502) :args (@t317)) % 36.84/37.04 (step @p509 :rule refl :args (@t318)) % 36.84/37.04 (step @p510 :rule eq-symm :args (@t107 tptp.xm)) % 36.84/37.04 (step @p511 :rule eq-symm :args (tptp.xm tptp.sz00)) % 36.84/37.04 (step @p512 :rule nary_cong :premises (@p429 @p484 @p429 @p511 @p510 @p509 @p508) :args (@t320)) % 36.84/37.04 (step @p513 :rule cong :premises (@p486 @p512) :args ((=> @t306 @t320))) % 36.84/37.04 (assume-push @p792 @t306) % 36.84/37.04 (step @p515 :rule instantiate :premises (@p474) :args (@t321)) % 36.84/37.04 (step-pop @p793 :rule scope :premises (@p515)) % 36.84/37.04 (step @p516 :rule process_scope :premises (@p793) :args (@t320)) % 36.84/37.04 (step @p518 :rule eq_resolve :premises (@p516 @p513)) % 36.84/37.04 (step @p519 :rule implies_elim :premises (@p518)) % 36.84/37.04 (step @p520 :rule chain_m_resolution :premises (@p519 @p474) :args (@t324 @t143 @t311)) % 36.84/37.04 (step @p521 :rule cnf_or_pos :args (@t324)) % 36.84/37.04 (step @p522 :rule factoring :premises (@p521)) % 36.84/37.04 (step @p523 :rule reordering :premises (@p522) :args ((or @t323 @t134 @t132 @t318 @t202 @t322 (not @t324)))) % 36.84/37.04 (step @p524 :rule cnf_and_pos :args (@t308 1)) % 36.84/37.04 (step @p525 :rule reordering :premises (@p524) :args ((or @t301 (not @t308)))) % 36.84/37.04 (step @p526 :rule cnf_and_pos :args (@t322 3)) % 36.84/37.04 (step @p527 :rule reordering :premises (@p526) :args ((or @t312 (not @t322)))) % 36.84/37.04 (step @p528 :rule aci_norm :args ((= (or @t275 @t26) @t325))) % 36.84/37.04 (step @p529 :rule refl :args (@t26)) % 36.84/37.04 (step @p530 :rule nary_cong :premises (@p407 @p529) :args ((or @t276 @t26))) % 36.84/37.04 (step @p531 :rule trans :premises (@p530 @p528)) % 36.84/37.04 (step @p532 :rule bool-impl-elim :args (@t16 @t26)) % 36.84/37.04 (step @p533 :rule trans :premises (@p532 @p531)) % 36.84/37.04 (step @p534 :rule cong :premises (@p533) :args (@t27)) % 36.84/37.04 (step @p535 :rule eq_resolve :premises (@p10 @p534)) % 36.84/37.04 (step @p536 :rule eq-symm :args (@t300 @t110)) % 36.84/37.04 (step @p537 :rule nary_cong :premises (@p258 @p363 @p363 @p536) :args (@t326)) % 36.84/37.04 (step @p538 :rule refl :args (@t327)) % 36.84/37.04 (step @p539 :rule cong :premises (@p538 @p537) :args ((=> @t327 @t326))) % 36.84/37.04 (assume-push @p794 @t327) % 36.84/37.04 (step @p541 :rule instantiate :premises (@p535) :args ((@list tptp.xp tptp.xq tptp.xq))) % 36.84/37.04 (step-pop @p795 :rule scope :premises (@p541)) % 36.84/37.04 (step @p542 :rule process_scope :premises (@p795) :args (@t326)) % 36.84/37.04 (step @p544 :rule eq_resolve :premises (@p542 @p539)) % 36.84/37.04 (step @p545 :rule implies_elim :premises (@p544)) % 36.84/37.04 (step @p546 :rule chain_m_resolution :premises (@p545 @p535) :args (@t329 @t143 (@list @t327))) % 36.84/37.04 (step @p547 :rule cnf_or_pos :args (@t329)) % 36.84/37.04 (step @p548 :rule factoring :premises (@p547)) % 36.84/37.04 (step @p549 :rule reordering :premises (@p548) :args ((or @t168 @t164 @t328 (not @t329)))) % 36.84/37.04 (step @p550 :rule chain_m_resolution :premises (@p549 @p139 @p134 @p546) :args (@t328 @t136 (@list @t94 @t108 @t329))) % 36.84/37.04 (step @p551 :rule refl :args (@t330)) % 36.84/37.04 (step @p552 :rule bool-double-not-elim :args (@t331)) % 36.84/37.04 (step @p553 :rule refl :args (@t332)) % 36.84/37.04 (step @p554 :rule refl :args (@t333)) % 36.84/37.04 (step @p555 :rule nary_cong :premises (@p554 @p553 @p552 @p551) :args ((or @t333 @t332 (not @t334) @t330))) % 36.84/37.04 (assume-push @p796 @t111) % 36.84/37.04 (assume-push @p797 @t328) % 36.84/37.04 (assume-push @p798 @t334) % 36.84/37.04 (assume-push @p799 @t334) % 36.84/37.04 (assume-push @p800 @t111) % 36.84/37.04 (assume-push @p801 @t328) % 36.84/37.04 (step @p562 :rule false_intro :premises (@p798)) % 36.84/37.04 (step @p563 :rule refl :args (@t130)) % 36.84/37.04 (step @p564 :rule symm :premises (@p46)) % 36.84/37.04 (step @p565 :rule symm :premises (@p550)) % 36.84/37.04 (step @p566 :rule trans :premises (@p565 @p564)) % 36.84/37.04 (step @p567 :rule cong :premises (@p566 @p563) :args (@t301)) % 36.84/37.04 (step @p568 :rule trans :premises (@p567 @p562)) % 36.84/37.04 (step @p569 :rule false_elim :premises (@p568)) % 36.84/37.04 (step-pop @p802 :rule scope :premises (@p569)) % 36.84/37.04 (step-pop @p803 :rule scope :premises (@p802)) % 36.84/37.04 (step-pop @p804 :rule scope :premises (@p803)) % 36.84/37.04 (step @p570 :rule process_scope :premises (@p804) :args (@t330)) % 36.84/37.04 (step @p574 :rule and_intro :premises (@p798 @p46 @p550)) % 36.84/37.04 (step @p575 :rule modus_ponens :premises (@p574 @p570)) % 36.84/37.04 (step-pop @p805 :rule scope :premises (@p575)) % 36.84/37.04 (step-pop @p806 :rule scope :premises (@p805)) % 36.84/37.04 (step-pop @p807 :rule scope :premises (@p806)) % 36.84/37.04 (step @p576 :rule process_scope :premises (@p807) :args (@t330)) % 36.84/37.04 (step @p580 :rule implies_elim :premises (@p576)) % 36.84/37.04 (step @p581 :rule cnf_and_neg :args (@t335)) % 36.84/37.04 (step @p582 :rule resolution :premises (@p581 @p580) :args (true @t335)) % 36.84/37.04 (step @p583 :rule eq_resolve :premises (@p582 @p555)) % 36.84/37.04 (step @p584 :rule instantiate :premises (@p130) :args (@t128)) % 36.84/37.04 (step @p585 :rule cnf_or_pos :args (@t337)) % 36.84/37.04 (step @p586 :rule reordering :premises (@p585) :args ((or @t134 @t132 @t336 (not @t337)))) % 36.84/37.04 (step @p587 :rule chain_m_resolution :premises (@p586 @p67 @p64 @p584) :args (@t336 @t136 (@list @t133 @t95 @t337))) % 36.84/37.04 (step @p588 :rule aci_norm :args ((= (or @t126 @t340) @t339))) % 36.84/37.04 (step @p589 :rule aci_norm :args ((= (or (or @t273 @t338) @t49) @t340))) % 36.84/37.04 (step @p590 :rule refl :args (@t49)) % 36.84/37.04 (step @p591 :rule bool-and-de-morgan :args (@t48 @t50 true)) % 36.84/37.04 (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or (not @t51) @t49))) % 36.84/37.04 (step @p593 :rule trans :premises (@p592 @p589)) % 36.84/37.04 (step @p594 :rule bool-impl-elim :args (@t51 @t49)) % 36.84/37.04 (step @p595 :rule trans :premises (@p594 @p593)) % 36.84/37.04 (step @p596 :rule nary_cong :premises (@p56 @p595) :args ((or @t127 @t52))) % 36.84/37.04 (step @p597 :rule trans :premises (@p596 @p588)) % 36.84/37.04 (step @p598 :rule bool-impl-elim :args (@t7 @t52)) % 36.84/37.04 (step @p599 :rule trans :premises (@p598 @p597)) % 36.84/37.04 (step @p600 :rule cong :premises (@p599) :args (@t53)) % 36.84/37.04 (step @p601 :rule eq_resolve :premises (@p21 @p600)) % 36.84/37.04 (step @p602 :rule refl :args (@t334)) % 36.84/37.04 (step @p603 :rule refl :args (@t341)) % 36.84/37.04 (step @p604 :rule refl :args (@t342)) % 36.84/37.04 (step @p605 :rule nary_cong :premises (@p604 @p111 @p603 @p602 @p503) :args (@t343)) % 36.84/37.04 (step @p606 :rule refl :args (@t344)) % 36.84/37.04 (step @p607 :rule cong :premises (@p606 @p605) :args ((=> @t344 @t343))) % 36.84/37.04 (assume-push @p808 @t344) % 36.84/37.04 (step @p609 :rule instantiate :premises (@p601) :args ((@list @t130 @t100))) % 36.84/37.04 (step-pop @p809 :rule scope :premises (@p609)) % 36.84/37.04 (step @p610 :rule process_scope :premises (@p809) :args (@t343)) % 36.84/37.04 (step @p612 :rule eq_resolve :premises (@p610 @p607)) % 36.84/37.04 (step @p613 :rule implies_elim :premises (@p612)) % 36.84/37.04 (step @p614 :rule chain_m_resolution :premises (@p613 @p601) :args (@t345 @t143 @t346)) % 36.84/37.04 (step @p615 :rule cnf_or_pos :args (@t345)) % 36.84/37.04 (step @p616 :rule reordering :premises (@p615) :args ((or @t153 @t194 @t341 @t342 @t334 (not @t345)))) % 36.84/37.04 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p587 @p158 @p583 @p550 @p46 @p527 @p525 @p523 @p520 @p501 @p499 @p64 @p67 @p497 @p418 @p416 @p414 @p394 @p134 @p64 @p67 @p242 @p240 @p64 @p67) :args ((or @t194 @t205) (@list false false false false false false false false false false false true false false false true true false false false false false false false false false) (@list @t345 @t336 @t152 @t331 @t328 @t111 @t312 @t301 @t322 @t324 @t201 @t323 @t95 @t133 @t308 @t202 @t278 @t280 @t271 @t108 @t95 @t133 @t204 @t206 @t95 @t133))) % 36.84/37.04 (step @p618 :rule refl :args (@t347)) % 36.84/37.04 (step @p619 :rule nary_cong :premises (@p484 @p429 @p509 @p618 @p510) :args (@t348)) % 36.84/37.04 (step @p620 :rule cong :premises (@p606 @p619) :args ((=> @t344 @t348))) % 36.84/37.04 (assume-push @p810 @t344) % 36.84/37.04 (step @p622 :rule instantiate :premises (@p601) :args (@t128)) % 36.84/37.04 (step-pop @p811 :rule scope :premises (@p622)) % 36.84/37.04 (step @p623 :rule process_scope :premises (@p811) :args (@t348)) % 36.84/37.04 (step @p625 :rule eq_resolve :premises (@p623 @p620)) % 36.84/37.04 (step @p626 :rule implies_elim :premises (@p625)) % 36.84/37.04 (step @p627 :rule chain_m_resolution :premises (@p626 @p601) :args (@t349 @t143 @t346)) % 36.84/37.04 (step @p628 :rule cnf_or_pos :args (@t349)) % 36.84/37.04 (step @p629 :rule reordering :premises (@p628) :args ((or @t134 @t132 @t318 @t202 @t347 (not @t349)))) % 36.84/37.04 (step @p630 :rule instantiate :premises (@p80) :args ((@list tptp.xm))) % 36.84/37.04 (step @p631 :rule cnf_or_pos :args (@t353)) % 36.84/37.04 (step @p632 :rule reordering :premises (@p631) :args ((or @t132 @t352 (not @t353)))) % 36.84/37.04 (step @p633 :rule chain_m_resolution :premises (@p632 @p64 @p630) :args (@t352 @t142 (@list @t95 @t353))) % 36.84/37.04 (step @p634 :rule cnf_and_pos :args (@t352 1)) % 36.84/37.04 (step @p635 :rule reordering :premises (@p634) :args ((or @t351 (not @t352)))) % 36.84/37.04 (step @p636 :rule chain_m_resolution :premises (@p635 @p633) :args (@t351 @t143 (@list @t352))) % 36.84/37.04 (step @p637 :rule refl :args (@t354)) % 36.84/37.04 (step @p638 :rule refl :args (@t203)) % 36.84/37.04 (step @p639 :rule nary_cong :premises (@p554 @p217 @p216 @p638 @p637 @p553) :args ((or @t333 @t197 @t199 @t203 @t354 @t332))) % 36.84/37.04 (assume-push @p812 @t111) % 36.84/37.04 (assume-push @p813 @t328) % 36.84/37.04 (assume-push @p814 @t307) % 36.84/37.04 (assume-push @p815 @t131) % 36.84/37.04 (assume-push @p816 @t198) % 36.84/37.04 (step @p645 :rule evaluate :args (@t355)) % 36.84/37.04 (step @p565 :rule symm :premises (@p550)) % 36.84/37.04 (step @p646 :rule trans :premises (@p814 @p565)) % 36.84/37.04 (step @p647 :rule symm :premises (@p646)) % 36.84/37.04 (step @p648 :rule trans :premises (@p46 @p647 @p70)) % 36.84/37.04 (step @p649 :rule true_intro :premises (@p648)) % 36.84/37.04 (step @p650 :rule false_intro :premises (@p816)) % 36.84/37.04 (step @p651 :rule symm :premises (@p650)) % 36.84/37.04 (step @p652 :rule trans :premises (@p651 @p649)) % 36.84/37.04 (step @p653 false :rule eq_resolve :premises (@p652 @p645)) % 36.84/37.04 (step-pop @p817 :rule scope :premises (@p653)) % 36.84/37.04 (step-pop @p818 :rule scope :premises (@p817)) % 36.84/37.04 (step-pop @p819 :rule scope :premises (@p818)) % 36.84/37.04 (step-pop @p820 :rule scope :premises (@p819)) % 36.84/37.04 (step-pop @p821 :rule scope :premises (@p820)) % 36.84/37.04 (step @p654 :rule process_scope :premises (@p821) :args (false)) % 36.84/37.04 (assume-push @p822 @t111) % 36.84/37.04 (assume-push @p823 @t131) % 36.84/37.04 (assume-push @p824 @t198) % 36.84/37.04 (assume-push @p825 @t202) % 36.84/37.04 (assume-push @p826 @t351) % 36.84/37.04 (assume-push @p827 @t328) % 36.84/37.04 (assume-push @p828 @t328) % 36.84/37.04 (assume-push @p829 @t111) % 36.84/37.04 (assume-push @p830 @t351) % 36.84/37.04 (assume-push @p831 @t202) % 36.84/37.04 (assume-push @p832 @t131) % 36.84/37.04 (step @p671 :rule symm :premises (@p636)) % 36.84/37.04 (step @p672 :rule cong :premises (@p671 @p170) :args ((tptp.sdtasdt0 @t350 tptp.xm))) % 36.84/37.04 (step @p673 :rule symm :premises (@p825)) % 36.84/37.04 (step @p674 :rule cong :premises (@p636 @p673) :args (@t129)) % 36.84/37.04 (step @p675 :rule trans :premises (@p70 @p674 @p672 @p46 @p550)) % 36.84/37.04 (step-pop @p833 :rule scope :premises (@p675)) % 36.84/37.04 (step-pop @p834 :rule scope :premises (@p833)) % 36.84/37.04 (step-pop @p835 :rule scope :premises (@p834)) % 36.84/37.04 (step-pop @p836 :rule scope :premises (@p835)) % 36.84/37.04 (step-pop @p837 :rule scope :premises (@p836)) % 36.84/37.04 (step @p676 :rule process_scope :premises (@p837) :args (@t307)) % 36.84/37.04 (step @p682 :rule and_intro :premises (@p550 @p46 @p636 @p825 @p70)) % 36.84/37.04 (step @p683 :rule modus_ponens :premises (@p682 @p676)) % 36.84/37.04 (step @p684 :rule and_intro :premises (@p46 @p550 @p683 @p70 @p824)) % 36.84/37.04 (step-pop @p838 :rule scope :premises (@p684)) % 36.84/37.04 (step-pop @p839 :rule scope :premises (@p838)) % 36.84/37.04 (step-pop @p840 :rule scope :premises (@p839)) % 36.84/37.04 (step-pop @p841 :rule scope :premises (@p840)) % 36.84/37.04 (step-pop @p842 :rule scope :premises (@p841)) % 36.84/37.04 (step-pop @p843 :rule scope :premises (@p842)) % 36.84/37.04 (step @p685 :rule process_scope :premises (@p843) :args (@t356)) % 36.84/37.04 (step @p692 :rule implies_elim :premises (@p685)) % 36.84/37.04 (step @p693 :rule resolution :premises (@p692 @p654) :args (true @t356)) % 36.84/37.04 (step @p694 :rule not_and :premises (@p693)) % 36.84/37.04 (step @p695 :rule eq_resolve :premises (@p694 @p639)) % 36.84/37.04 (step @p696 :rule reordering :premises (@p695) :args ((or @t333 @t196 @t203 @t197 @t354 @t332))) % 36.84/37.04 (step @p697 :rule chain_m_resolution :premises (@p696 @p636 @p550 @p70 @p46 @p629 @p627 @p501 @p64 @p67 @p617 @p239 @p70) :args (@t196 (@list false false false false false false false false false false true false) (@list @t351 @t328 @t131 @t111 @t202 @t349 @t201 @t95 @t133 @t205 @t194 @t131))) % 36.84/37.04 (step @p698 :rule nary_cong :premises (@p507 @p504) :args (@t357)) % 36.84/37.04 (step @p699 :rule nary_cong :premises (@p429 @p511 @p484 @p429 @p698 @p510) :args (@t358)) % 36.84/37.04 (step @p700 :rule cong :premises (@p365 @p699) :args ((=> @t265 @t358))) % 36.84/37.04 (assume-push @p844 @t265) % 36.84/37.04 (step @p702 :rule instantiate :premises (@p360) :args (@t321)) % 36.84/37.04 (step-pop @p845 :rule scope :premises (@p702)) % 36.84/37.04 (step @p703 :rule process_scope :premises (@p845) :args (@t358)) % 36.84/37.04 (step @p705 :rule eq_resolve :premises (@p703 @p700)) % 36.84/37.04 (step @p706 :rule implies_elim :premises (@p705)) % 36.84/37.04 (step @p707 :rule chain_m_resolution :premises (@p706 @p360) :args (@t360 @t143 @t267)) % 36.84/37.04 (step @p708 :rule cnf_and_pos :args (@t359 0)) % 36.84/37.04 (step @p709 :rule reordering :premises (@p708) :args ((or @t198 @t361))) % 36.84/37.04 (step @p710 :rule chain_m_resolution :premises (@p709 @p697) :args (@t361 @t143 (@list @t196))) % 36.84/37.04 (step @p711 :rule cnf_or_pos :args (@t360)) % 36.84/37.04 (step @p712 :rule factoring :premises (@p711)) % 36.84/37.04 (step @p713 :rule reordering :premises (@p712) :args ((or @t323 @t134 @t132 @t359 @t202 (not @t360)))) % 36.84/37.04 (step @p714 :rule chain_m_resolution :premises (@p713 @p499 @p67 @p64 @p710 @p707) :args (@t202 (@list true false false true false) (@list @t323 @t133 @t95 @t359 @t360))) % 36.84/37.04 (step @p715 :rule bool-double-not-elim :args (@t158)) % 36.84/37.04 (step @p716 :rule refl :args (@t362)) % 36.84/37.04 (step @p717 :rule refl :args (@t198)) % 36.84/37.04 (step @p718 :rule refl :args (@t364)) % 36.84/37.04 (step @p719 :rule nary_cong :premises (@p718 @p217 @p717 @p638 @p716 @p715) :args ((or @t364 @t197 @t198 @t203 @t362 (not @t159)))) % 36.84/37.04 (assume-push @p846 @t363) % 36.84/37.04 (assume-push @p847 @t365) % 36.84/37.04 (assume-push @p848 @t159) % 36.84/37.04 (assume-push @p849 @t196) % 36.84/37.04 (assume-push @p850 @t131) % 36.84/37.04 (step @p645 :rule evaluate :args (@t355)) % 36.84/37.04 (step @p725 :rule symm :premises (@p847)) % 36.84/37.04 (step @p726 :rule symm :premises (@p70)) % 36.84/37.04 (step @p727 :rule trans :premises (@p849 @p726 @p725 @p149)) % 36.84/37.04 (step @p728 :rule trans :premises (@p727 @p53)) % 36.84/37.04 (step @p729 :rule true_intro :premises (@p728)) % 36.84/37.04 (step @p730 :rule false_intro :premises (@p214)) % 36.84/37.04 (step @p731 :rule symm :premises (@p730)) % 36.84/37.04 (step @p732 :rule trans :premises (@p731 @p729)) % 36.84/37.04 (step @p733 false :rule eq_resolve :premises (@p732 @p645)) % 36.84/37.04 (step-pop @p851 :rule scope :premises (@p733)) % 36.84/37.04 (step-pop @p852 :rule scope :premises (@p851)) % 36.84/37.04 (step-pop @p853 :rule scope :premises (@p852)) % 36.84/37.04 (step-pop @p854 :rule scope :premises (@p853)) % 36.84/37.04 (step-pop @p855 :rule scope :premises (@p854)) % 36.84/37.04 (step @p734 :rule process_scope :premises (@p855) :args (false)) % 36.84/37.04 (assume-push @p856 @t363) % 36.84/37.04 (assume-push @p857 @t131) % 36.84/37.04 (assume-push @p858 @t196) % 36.84/37.04 (assume-push @p859 @t202) % 36.84/37.04 (assume-push @p860 @t139) % 36.84/37.04 (assume-push @p861 @t159) % 36.84/37.04 (assume-push @p862 @t139) % 36.84/37.04 (assume-push @p863 @t202) % 36.84/37.04 (step @p748 :rule symm :premises (@p87)) % 36.84/37.04 (step @p749 :rule cong :premises (@p748 @p170) :args ((tptp.sdtasdt0 @t138 tptp.xm))) % 36.84/37.04 (step @p750 :rule symm :premises (@p859)) % 36.84/37.04 (step @p751 :rule cong :premises (@p87 @p750) :args (@t147)) % 36.84/37.04 (step @p752 :rule trans :premises (@p751 @p749)) % 36.84/37.04 (step-pop @p864 :rule scope :premises (@p752)) % 36.84/37.04 (step-pop @p865 :rule scope :premises (@p864)) % 36.84/37.04 (step @p753 :rule process_scope :premises (@p865) :args (@t365)) % 36.84/37.04 (step @p756 :rule and_intro :premises (@p87 @p859)) % 36.84/37.04 (step @p757 :rule modus_ponens :premises (@p756 @p753)) % 36.84/37.04 (step @p758 :rule and_intro :premises (@p53 @p757 @p214 @p858 @p70)) % 36.84/37.04 (step-pop @p866 :rule scope :premises (@p758)) % 36.84/37.04 (step-pop @p867 :rule scope :premises (@p866)) % 36.84/37.04 (step-pop @p868 :rule scope :premises (@p867)) % 36.84/37.04 (step-pop @p869 :rule scope :premises (@p868)) % 36.84/37.04 (step-pop @p870 :rule scope :premises (@p869)) % 36.84/37.04 (step-pop @p871 :rule scope :premises (@p870)) % 36.84/37.04 (step @p759 :rule process_scope :premises (@p871) :args (@t366)) % 36.84/37.04 (step @p766 :rule implies_elim :premises (@p759)) % 36.84/37.04 (step @p767 :rule resolution :premises (@p766 @p734) :args (true @t366)) % 36.84/37.04 (step @p768 :rule not_and :premises (@p767)) % 36.84/37.04 (step @p769 :rule eq_resolve :premises (@p768 @p719)) % 36.84/37.04 (step @p770 :rule reordering :premises (@p769) :args ((or @t364 @t198 @t158 @t203 @t197 @t362))) % 36.84/37.04 (step @p771 false :rule chain_m_resolution :premises (@p770 @p714 @p697 @p214 @p87 @p70 @p53) :args (false (@list false false true false false false) (@list @t202 @t196 @t158 @t139 @t131 @t363))) % 36.84/37.04 ) % 36.84/37.04 % SZS output end Proof % 36.84/37.04 % cvc5 exiting %------------------------------------------------------------------------------