%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM471+2 : 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 : n006.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 08:39:31 AM UTC 2026 % Result : Theorem 25.63s 25.88s % Output : Proof 25.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM471+2 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 11:22:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 25.63/25.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 25.63/25.88 --- Run --no-e-matching --full-saturate-quant at 6... % 25.63/25.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 25.63/25.88 % SZS status Theorem % 25.63/25.88 % SZS output start Proof % 25.63/25.88 ( % 25.63/25.88 (declare-sort $$unsorted 0) % 25.63/25.88 (declare-const tptp.xq $$unsorted) % 25.63/25.88 (declare-const tptp.xp $$unsorted) % 25.63/25.88 (declare-const tptp.sz10 $$unsorted) % 25.63/25.88 (declare-const tptp.xl $$unsorted) % 25.63/25.88 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 25.63/25.88 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 25.63/25.88 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 25.63/25.88 (declare-const tptp.sz00 $$unsorted) % 25.63/25.88 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 25.63/25.88 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 25.63/25.88 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 25.63/25.88 (declare-const tptp.xn $$unsorted) % 25.63/25.88 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 25.63/25.88 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 25.63/25.88 (declare-const tptp.xm $$unsorted) % 25.63/25.88 (define @t1 () (@var "W0" $$unsorted)) % 25.63/25.88 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 25.63/25.88 (define @t3 () (@list @t1)) % 25.63/25.88 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 25.63/25.88 (define @t5 () (= tptp.sz10 tptp.sz00)) % 25.63/25.88 (define @t6 () (not @t5)) % 25.63/25.88 (define @t7 () (tptp.aNaturalNumber0 tptp.sz10)) % 25.63/25.88 (define @t8 () (@var "W1" $$unsorted)) % 25.63/25.88 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 25.63/25.88 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 25.63/25.88 (define @t11 () (tptp.aNaturalNumber0 @t8)) % 25.63/25.88 (define @t12 () (and @t2 @t11)) % 25.63/25.88 (define @t13 () (@list @t1 @t8)) % 25.63/25.88 (define @t14 () (forall @t13 (=> @t12 @t10))) % 25.63/25.88 (define @t15 () (tptp.sdtasdt0 @t1 @t8)) % 25.63/25.88 (define @t16 () (tptp.sdtpldt0 @t8 @t1)) % 25.63/25.88 (define @t17 () (= @t9 @t16)) % 25.63/25.88 (define @t18 () (forall @t13 (=> @t12 @t17))) % 25.63/25.88 (define @t19 () (@var "W2" $$unsorted)) % 25.63/25.88 (define @t20 () (tptp.sdtpldt0 @t8 @t19)) % 25.63/25.88 (define @t21 () (tptp.aNaturalNumber0 @t19)) % 25.63/25.88 (define @t22 () (and @t2 @t11 @t21)) % 25.63/25.88 (define @t23 () (@list @t1 @t8 @t19)) % 25.63/25.88 (define @t24 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 25.63/25.88 (define @t25 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 25.63/25.88 (define @t26 () (and (= @t25 @t1) @t24)) % 25.63/25.88 (define @t27 () (=> @t2 @t26)) % 25.63/25.88 (define @t28 () (forall @t3 @t27)) % 25.63/25.88 (define @t29 () (tptp.sdtasdt0 @t8 @t1)) % 25.63/25.88 (define @t30 () (= @t15 @t29)) % 25.63/25.88 (define @t31 () (forall @t13 (=> @t12 @t30))) % 25.63/25.88 (define @t32 () (tptp.sdtasdt0 @t19 @t1)) % 25.63/25.88 (define @t33 () (tptp.sdtasdt0 @t1 @t19)) % 25.63/25.88 (define @t34 () (= @t8 @t19)) % 25.63/25.88 (define @t35 () (tptp.sdtpldt0 @t19 @t1)) % 25.63/25.88 (define @t36 () (tptp.sdtpldt0 @t1 @t19)) % 25.63/25.88 (define @t37 () (= @t29 @t32)) % 25.63/25.88 (define @t38 () (= @t15 @t33)) % 25.63/25.88 (define @t39 () (and @t11 @t21)) % 25.63/25.88 (define @t40 () (= @t1 tptp.sz00)) % 25.63/25.88 (define @t41 () (not @t40)) % 25.63/25.88 (define @t42 () (= @t8 tptp.sz00)) % 25.63/25.88 (define @t43 () (and @t40 @t42)) % 25.63/25.88 (define @t44 () (=> (= @t9 tptp.sz00) @t43)) % 25.63/25.88 (define @t45 () (=> @t12 @t44)) % 25.63/25.88 (define @t46 () (forall @t13 @t45)) % 25.63/25.88 (define @t47 () (and @t21 (= @t36 @t8))) % 25.63/25.88 (define @t48 () (@list @t19)) % 25.63/25.88 (define @t49 () (tptp.sdtlseqdt0 @t1 @t8)) % 25.63/25.88 (define @t50 () (tptp.sdtmndt0 @t8 @t1)) % 25.63/25.88 (define @t51 () (= @t19 @t50)) % 25.63/25.88 (define @t52 () (forall @t48 (= @t51 @t47))) % 25.63/25.88 (define @t53 () (=> @t49 @t52)) % 25.63/25.88 (define @t54 () (=> @t12 @t53)) % 25.63/25.88 (define @t55 () (forall @t13 @t54)) % 25.63/25.88 (define @t56 () (tptp.sdtlseqdt0 @t1 @t1)) % 25.63/25.88 (define @t57 () (forall @t3 (=> @t2 @t56))) % 25.63/25.88 (define @t58 () (= @t1 @t8)) % 25.63/25.88 (define @t59 () (tptp.sdtlseqdt0 @t8 @t1)) % 25.63/25.88 (define @t60 () (and @t49 @t59)) % 25.63/25.88 (define @t61 () (=> @t60 @t58)) % 25.63/25.88 (define @t62 () (forall @t13 (=> @t12 @t61))) % 25.63/25.88 (define @t63 () (tptp.sdtlseqdt0 @t1 @t19)) % 25.63/25.88 (define @t64 () (tptp.sdtlseqdt0 @t8 @t19)) % 25.63/25.88 (define @t65 () (and @t49 @t64)) % 25.63/25.88 (define @t66 () (=> @t65 @t63)) % 25.63/25.88 (define @t67 () (forall @t23 (=> @t22 @t66))) % 25.63/25.88 (define @t68 () (not (= @t8 @t1))) % 25.63/25.88 (define @t69 () (and @t68 @t59)) % 25.63/25.88 (define @t70 () (or @t49 @t69)) % 25.63/25.88 (define @t71 () (=> @t12 @t70)) % 25.63/25.88 (define @t72 () (forall @t13 @t71)) % 25.63/25.88 (define @t73 () (tptp.sdtlseqdt0 @t36 @t20)) % 25.63/25.88 (define @t74 () (not (= @t36 @t20))) % 25.63/25.88 (define @t75 () (tptp.sdtpldt0 @t19 @t8)) % 25.63/25.88 (define @t76 () (tptp.sdtlseqdt0 @t35 @t75)) % 25.63/25.88 (define @t77 () (not (= @t35 @t75))) % 25.63/25.88 (define @t78 () (and @t77 @t76 @t74 @t73)) % 25.63/25.88 (define @t79 () (=> @t21 @t78)) % 25.63/25.88 (define @t80 () (forall @t48 @t79)) % 25.63/25.88 (define @t81 () (not @t58)) % 25.63/25.88 (define @t82 () (and @t81 @t49)) % 25.63/25.88 (define @t83 () (=> @t82 @t80)) % 25.63/25.88 (define @t84 () (=> @t12 @t83)) % 25.63/25.88 (define @t85 () (forall @t13 @t84)) % 25.63/25.88 (define @t86 () (and (not @t38) (tptp.sdtlseqdt0 @t15 @t33) (not @t37) (tptp.sdtlseqdt0 @t29 @t32))) % 25.63/25.88 (define @t87 () (not @t34)) % 25.63/25.88 (define @t88 () (and @t41 @t87 @t64)) % 25.63/25.88 (define @t89 () (=> @t88 @t86)) % 25.63/25.88 (define @t90 () (forall @t23 (=> @t22 @t89))) % 25.63/25.88 (define @t91 () (tptp.sdtlseqdt0 tptp.sz10 @t1)) % 25.63/25.88 (define @t92 () (not (= tptp.sz10 @t1))) % 25.63/25.88 (define @t93 () (and @t92 @t91)) % 25.63/25.88 (define @t94 () (= @t1 tptp.sz10)) % 25.63/25.88 (define @t95 () (or @t40 @t94 @t93)) % 25.63/25.88 (define @t96 () (=> @t2 @t95)) % 25.63/25.88 (define @t97 () (forall @t3 @t96)) % 25.63/25.88 (define @t98 () (tptp.iLess0 @t1 @t8)) % 25.63/25.88 (define @t99 () (and @t21 (= @t8 @t33))) % 25.63/25.88 (define @t100 () (tptp.doDivides0 @t1 @t8)) % 25.63/25.88 (define @t101 () (tptp.sdtsldt0 @t8 @t1)) % 25.63/25.88 (define @t102 () (= @t19 @t101)) % 25.63/25.88 (define @t103 () (forall @t48 (= @t102 @t99))) % 25.63/25.88 (define @t104 () (and @t41 @t100)) % 25.63/25.88 (define @t105 () (=> @t104 @t103)) % 25.63/25.88 (define @t106 () (=> @t12 @t105)) % 25.63/25.88 (define @t107 () (forall @t13 @t106)) % 25.63/25.88 (define @t108 () (tptp.doDivides0 @t1 @t19)) % 25.63/25.88 (define @t109 () (tptp.aNaturalNumber0 tptp.xn)) % 25.63/25.88 (define @t110 () (tptp.aNaturalNumber0 tptp.xm)) % 25.63/25.88 (define @t111 () (tptp.aNaturalNumber0 tptp.xl)) % 25.63/25.88 (define @t112 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 25.63/25.88 (define @t113 () (tptp.sdtasdt0 tptp.xl @t1)) % 25.63/25.88 (define @t114 () (and @t2 (= @t112 @t113))) % 25.63/25.88 (define @t115 () (exists @t3 @t114)) % 25.63/25.88 (define @t116 () (tptp.doDivides0 tptp.xl tptp.xm)) % 25.63/25.88 (define @t117 () (= tptp.xl tptp.sz00)) % 25.63/25.88 (define @t118 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 25.63/25.88 (define @t119 () (= tptp.xp @t118)) % 25.63/25.88 (define @t120 () (tptp.sdtasdt0 tptp.xl tptp.xp)) % 25.63/25.88 (define @t121 () (tptp.aNaturalNumber0 tptp.xp)) % 25.63/25.88 (define @t122 () (tptp.sdtsldt0 @t112 tptp.xl)) % 25.63/25.88 (define @t123 () (= tptp.xq @t122)) % 25.63/25.88 (define @t124 () (tptp.sdtasdt0 tptp.xl tptp.xq)) % 25.63/25.88 (define @t125 () (= @t112 @t124)) % 25.63/25.88 (define @t126 () (tptp.aNaturalNumber0 tptp.xq)) % 25.63/25.88 (define @t127 () (tptp.sdtlseqdt0 tptp.xp tptp.xq)) % 25.63/25.88 (define @t128 () (tptp.sdtpldt0 tptp.xp @t1)) % 25.63/25.88 (define @t129 () (and @t2 (= @t128 tptp.xq))) % 25.63/25.88 (define @t130 () (exists @t3 @t129)) % 25.63/25.88 (define @t131 () (or @t130 @t127)) % 25.63/25.88 (define @t132 () (not @t131)) % 25.63/25.88 (define @t133 () (not @t11)) % 25.63/25.88 (define @t134 () (not @t2)) % 25.63/25.88 (define @t135 () (or @t134 @t133)) % 25.63/25.88 (define @t136 () (not @t12)) % 25.63/25.88 (define @t137 () (@list tptp.sz10 @t120)) % 25.63/25.88 (define @t138 () (tptp.sdtpldt0 @t120 tptp.sz10)) % 25.63/25.88 (define @t139 () (tptp.sdtpldt0 tptp.sz10 @t120)) % 25.63/25.88 (define @t140 () (= @t139 @t138)) % 25.63/25.88 (define @t141 () (tptp.aNaturalNumber0 @t120)) % 25.63/25.88 (define @t142 () (not @t141)) % 25.63/25.88 (define @t143 () (not @t7)) % 25.63/25.88 (define @t144 () (or @t143 @t142 @t140)) % 25.63/25.88 (define @t145 () (@list false false false)) % 25.63/25.88 (define @t146 () (not @t64)) % 25.63/25.88 (define @t147 () (not @t49)) % 25.63/25.88 (define @t148 () (not @t21)) % 25.63/25.88 (define @t149 () (or @t147 @t146 @t63)) % 25.63/25.88 (define @t150 () (or @t134 @t133 @t148)) % 25.63/25.88 (define @t151 () (not @t22)) % 25.63/25.88 (define @t152 () (tptp.sdtpldt0 @t120 tptp.xn)) % 25.63/25.88 (define @t153 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 25.63/25.88 (define @t154 () (tptp.sdtpldt0 @t8 @t153)) % 25.63/25.88 (define @t155 () (tptp.sdtpldt0 @t1 @t153)) % 25.63/25.88 (define @t156 () (tptp.sdtpldt0 @t153 @t8)) % 25.63/25.88 (define @t157 () (tptp.sdtpldt0 @t153 @t1)) % 25.63/25.88 (define @t158 () (and (not (= @t157 @t156)) (tptp.sdtlseqdt0 @t157 @t156) (not (= @t154 @t155)) (tptp.sdtlseqdt0 @t155 @t154))) % 25.63/25.88 (define @t159 () (not (tptp.aNaturalNumber0 @t153))) % 25.63/25.88 (define @t160 () (or @t134 @t133 @t58 @t147 @t159 @t158)) % 25.63/25.88 (define @t161 () (or @t159 @t158)) % 25.63/25.88 (define @t162 () (or @t134 @t133 @t58 @t147 @t161)) % 25.63/25.88 (define @t163 () (@list @t1 @t8 @t153)) % 25.63/25.88 (define @t164 () (forall @t163 @t162)) % 25.63/25.88 (define @t165 () (@list @t153)) % 25.63/25.88 (define @t166 () (forall @t165 @t162)) % 25.63/25.88 (define @t167 () (forall @t165 @t161)) % 25.63/25.88 (define @t168 () (@list @t19)) % 25.63/25.88 (define @t169 () (or @t134 @t133 @t58 @t147 @t167)) % 25.63/25.88 (define @t170 () (and @t77 @t76 (not (= @t20 @t36)) @t73)) % 25.63/25.88 (define @t171 () (forall @t48 (or @t148 @t170))) % 25.63/25.88 (define @t172 () (or @t134 @t133 @t58 @t147 @t171)) % 25.63/25.88 (define @t173 () (or @t58 @t147 @t171)) % 25.63/25.88 (define @t174 () (=> @t82 @t171)) % 25.63/25.88 (define @t175 () (tptp.sdtpldt0 tptp.sz00 @t120)) % 25.63/25.88 (define @t176 () (tptp.sdtlseqdt0 @t175 @t139)) % 25.63/25.88 (define @t177 () (not (= @t139 @t175))) % 25.63/25.88 (define @t178 () (tptp.sdtpldt0 @t120 tptp.sz00)) % 25.63/25.88 (define @t179 () (tptp.sdtlseqdt0 @t178 @t138)) % 25.63/25.88 (define @t180 () (= @t178 @t138)) % 25.63/25.88 (define @t181 () (not @t180)) % 25.63/25.88 (define @t182 () (and @t181 @t179 @t177 @t176)) % 25.63/25.88 (define @t183 () (tptp.sdtlseqdt0 tptp.sz00 tptp.sz10)) % 25.63/25.88 (define @t184 () (not @t183)) % 25.63/25.88 (define @t185 () (= tptp.sz00 tptp.sz10)) % 25.63/25.88 (define @t186 () (not @t4)) % 25.63/25.88 (define @t187 () (or @t186 @t143 @t185 @t184 @t142 @t182)) % 25.63/25.88 (define @t188 () (forall @t163 @t160)) % 25.63/25.88 (define @t189 () (and @t181 @t179 (not (= @t175 @t139)) @t176)) % 25.63/25.88 (define @t190 () (or @t186 @t143 @t185 @t184 @t142 @t189)) % 25.63/25.88 (define @t191 () (@list false)) % 25.63/25.88 (define @t192 () (@list @t188)) % 25.63/25.88 (define @t193 () (and @t81 @t59)) % 25.63/25.88 (define @t194 () (or @t134 @t133 @t49 @t193)) % 25.63/25.88 (define @t195 () (or @t49 @t193)) % 25.63/25.88 (define @t196 () (and @t6 @t183)) % 25.63/25.88 (define @t197 () (tptp.sdtlseqdt0 tptp.sz10 tptp.sz00)) % 25.63/25.88 (define @t198 () (or @t143 @t186 @t197 @t196)) % 25.63/25.88 (define @t199 () (forall @t13 @t194)) % 25.63/25.88 (define @t200 () (not @t185)) % 25.63/25.88 (define @t201 () (and @t200 @t183)) % 25.63/25.88 (define @t202 () (or @t143 @t186 @t197 @t201)) % 25.63/25.88 (define @t203 () (tptp.sdtpldt0 tptp.sz00 tptp.sz10)) % 25.63/25.88 (define @t204 () (tptp.sdtpldt0 tptp.sz10 tptp.sz10)) % 25.63/25.88 (define @t205 () (tptp.sdtlseqdt0 @t204 @t203)) % 25.63/25.88 (define @t206 () (not (= @t203 @t204))) % 25.63/25.88 (define @t207 () (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) % 25.63/25.88 (define @t208 () (tptp.sdtlseqdt0 @t204 @t207)) % 25.63/25.88 (define @t209 () (not (= @t204 @t207))) % 25.63/25.88 (define @t210 () (and @t209 @t208 @t206 @t205)) % 25.63/25.88 (define @t211 () (not @t197)) % 25.63/25.88 (define @t212 () (or @t143 @t186 @t5 @t211 @t143 @t210)) % 25.63/25.88 (define @t213 () (and (not (= @t207 @t204)) @t208 @t206 @t205)) % 25.63/25.88 (define @t214 () (or @t143 @t186 @t185 @t211 @t143 @t213)) % 25.63/25.88 (define @t215 () (not @t59)) % 25.63/25.88 (define @t216 () (or @t147 @t215 @t58)) % 25.63/25.88 (define @t217 () (and (not @t94) @t91)) % 25.63/25.88 (define @t218 () (or @t134 @t40 @t94 @t217)) % 25.63/25.88 (define @t219 () (or @t40 @t94 @t217)) % 25.63/25.88 (define @t220 () (tptp.sdtlseqdt0 tptp.sz10 @t204)) % 25.63/25.88 (define @t221 () (= @t204 tptp.sz10)) % 25.63/25.88 (define @t222 () (not @t221)) % 25.63/25.88 (define @t223 () (and @t222 @t220)) % 25.63/25.88 (define @t224 () (tptp.aNaturalNumber0 @t204)) % 25.63/25.88 (define @t225 () (not @t224)) % 25.63/25.88 (define @t226 () (or @t225 (= @t204 tptp.sz00) @t221 @t223)) % 25.63/25.88 (define @t227 () (forall @t3 @t218)) % 25.63/25.88 (define @t228 () (= tptp.sz10 @t204)) % 25.63/25.88 (define @t229 () (not @t228)) % 25.63/25.88 (define @t230 () (and @t229 @t220)) % 25.63/25.88 (define @t231 () (= tptp.sz00 @t204)) % 25.63/25.88 (define @t232 () (or @t225 @t231 @t228 @t230)) % 25.63/25.88 (define @t233 () (@list @t227)) % 25.63/25.88 (define @t234 () (@list tptp.sz10 tptp.sz10)) % 25.63/25.88 (define @t235 () (or @t143 @t143 @t224)) % 25.63/25.88 (define @t236 () (@list false false)) % 25.63/25.88 (define @t237 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 25.63/25.88 (define @t238 () (= @t50 @t237)) % 25.63/25.88 (define @t239 () (and (tptp.aNaturalNumber0 @t237) (= @t8 (tptp.sdtpldt0 @t1 @t237)))) % 25.63/25.88 (define @t240 () (= (= @t237 @t50) @t239)) % 25.63/25.88 (define @t241 () (or @t134 @t133 @t147 @t240)) % 25.63/25.88 (define @t242 () (@list @t1 @t8 @t237)) % 25.63/25.88 (define @t243 () (forall @t242 @t241)) % 25.63/25.88 (define @t244 () (@list @t237)) % 25.63/25.88 (define @t245 () (forall @t244 @t241)) % 25.63/25.88 (define @t246 () (forall @t244 @t240)) % 25.63/25.88 (define @t247 () (or @t134 @t133 @t147 @t246)) % 25.63/25.88 (define @t248 () (and @t21 (= @t8 @t36))) % 25.63/25.88 (define @t249 () (forall @t48 (= @t51 @t248))) % 25.63/25.88 (define @t250 () (or @t134 @t133 @t147 @t249)) % 25.63/25.88 (define @t251 () (=> @t49 @t249)) % 25.63/25.88 (define @t252 () (tptp.sdtmndt0 tptp.sz10 tptp.sz10)) % 25.63/25.88 (define @t253 () (and @t7 @t228)) % 25.63/25.88 (define @t254 () (= @t253 (= @t252 tptp.sz10))) % 25.63/25.88 (define @t255 () (tptp.sdtlseqdt0 tptp.sz10 tptp.sz10)) % 25.63/25.88 (define @t256 () (not @t255)) % 25.63/25.88 (define @t257 () (or @t143 @t143 @t256 @t254)) % 25.63/25.88 (define @t258 () (forall @t242 (or @t134 @t133 @t147 (= @t239 @t238)))) % 25.63/25.88 (define @t259 () (= tptp.sz10 @t252)) % 25.63/25.88 (define @t260 () (= @t253 @t259)) % 25.63/25.88 (define @t261 () (or @t143 @t143 @t256 @t260)) % 25.63/25.88 (define @t262 () (@list @t258)) % 25.63/25.88 (define @t263 () (@list tptp.sz10)) % 25.63/25.88 (define @t264 () (or @t143 @t255)) % 25.63/25.88 (define @t265 () (= tptp.sz10 @t207)) % 25.63/25.88 (define @t266 () (and @t4 @t265)) % 25.63/25.88 (define @t267 () (= @t266 (= @t252 tptp.sz00))) % 25.63/25.88 (define @t268 () (or @t143 @t143 @t256 @t267)) % 25.63/25.88 (define @t269 () (= tptp.sz00 @t252)) % 25.63/25.88 (define @t270 () (= @t266 @t269)) % 25.63/25.88 (define @t271 () (or @t143 @t143 @t256 @t270)) % 25.63/25.88 (define @t272 () (and (= @t1 @t25) @t24)) % 25.63/25.88 (define @t273 () (and @t265 (= tptp.sz10 @t203))) % 25.63/25.88 (define @t274 () (or @t143 @t273)) % 25.63/25.88 (define @t275 () (not @t265)) % 25.63/25.88 (define @t276 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 25.63/25.88 (define @t277 () (and @t276 @t276)) % 25.63/25.88 (define @t278 () (or @t186 @t277)) % 25.63/25.88 (define @t279 () (forall @t3 (or @t134 @t272))) % 25.63/25.88 (define @t280 () (or @t186 @t276)) % 25.63/25.88 (define @t281 () (not @t269)) % 25.63/25.88 (define @t282 () (not @t259)) % 25.63/25.88 (define @t283 () (not @t276)) % 25.63/25.88 (define @t284 () (= false true)) % 25.63/25.88 (define @t285 () (and @t276 @t269 @t259 @t200)) % 25.63/25.88 (define @t286 () (@list true false false)) % 25.63/25.88 (define @t287 () (not @t253)) % 25.63/25.88 (define @t288 () (@list true false)) % 25.63/25.88 (define @t289 () (@list false true)) % 25.63/25.88 (define @t290 () (and @t40 (= tptp.sz00 @t8))) % 25.63/25.88 (define @t291 () (= tptp.sz00 @t9)) % 25.63/25.88 (define @t292 () (not @t291)) % 25.63/25.88 (define @t293 () (or @t134 @t133 @t292 @t290)) % 25.63/25.88 (define @t294 () (=> @t291 @t290)) % 25.63/25.88 (define @t295 () (and @t5 @t185)) % 25.63/25.88 (define @t296 () (not @t231)) % 25.63/25.88 (define @t297 () (or @t143 @t143 @t296 @t295)) % 25.63/25.88 (define @t298 () (forall @t13 @t293)) % 25.63/25.88 (define @t299 () (or @t143 @t143 @t296 @t185)) % 25.63/25.88 (define @t300 () (tptp.sdtlseqdt0 @t204 tptp.sz10)) % 25.63/25.88 (define @t301 () (not @t300)) % 25.63/25.88 (define @t302 () (not @t220)) % 25.63/25.88 (define @t303 () (or @t143 @t225 @t302 @t301 @t228)) % 25.63/25.88 (define @t304 () (@list false true false false false)) % 25.63/25.88 (define @t305 () (= @t203 @t207)) % 25.63/25.88 (define @t306 () (or @t186 @t143 @t305)) % 25.63/25.88 (define @t307 () (not @t208)) % 25.63/25.88 (define @t308 () (not @t305)) % 25.63/25.88 (define @t309 () (and @t305 @t265 @t301)) % 25.63/25.88 (define @t310 () (@list false false true)) % 25.63/25.88 (define @t311 () (not @t213)) % 25.63/25.88 (define @t312 () (@list true)) % 25.63/25.88 (define @t313 () (@list false false true false)) % 25.63/25.88 (define @t314 () (not @t189)) % 25.63/25.88 (define @t315 () (@list @t189)) % 25.63/25.88 (define @t316 () (= @t120 @t178)) % 25.63/25.88 (define @t317 () (and @t316 (= @t120 @t175))) % 25.63/25.88 (define @t318 () (or @t142 @t317)) % 25.63/25.88 (define @t319 () (tptp.sdtlseqdt0 @t120 @t139)) % 25.63/25.88 (define @t320 () (and @t316 @t140 @t179)) % 25.63/25.88 (define @t321 () (not @t140)) % 25.63/25.88 (define @t322 () (not @t316)) % 25.63/25.88 (define @t323 () (or @t134 @t133 @t148 @t40 @t34 @t146 @t86)) % 25.63/25.88 (define @t324 () (or @t40 @t34 @t146 @t86)) % 25.63/25.88 (define @t325 () (not @t87)) % 25.63/25.88 (define @t326 () (not @t41)) % 25.63/25.88 (define @t327 () (or @t326 @t325 @t146)) % 25.63/25.88 (define @t328 () (tptp.sdtasdt0 tptp.xp tptp.xl)) % 25.63/25.88 (define @t329 () (tptp.sdtsldt0 @t152 tptp.xl)) % 25.63/25.88 (define @t330 () (tptp.sdtasdt0 @t329 tptp.xl)) % 25.63/25.88 (define @t331 () (tptp.sdtlseqdt0 @t330 @t328)) % 25.63/25.88 (define @t332 () (not (= @t330 @t328))) % 25.63/25.88 (define @t333 () (tptp.sdtasdt0 tptp.xl @t329)) % 25.63/25.88 (define @t334 () (tptp.sdtlseqdt0 @t333 @t120)) % 25.63/25.88 (define @t335 () (not (= @t333 @t120))) % 25.63/25.88 (define @t336 () (and @t335 @t334 @t332 @t331)) % 25.63/25.88 (define @t337 () (tptp.sdtlseqdt0 @t329 tptp.xp)) % 25.63/25.88 (define @t338 () (not @t337)) % 25.63/25.88 (define @t339 () (not @t121)) % 25.63/25.88 (define @t340 () (tptp.aNaturalNumber0 @t329)) % 25.63/25.88 (define @t341 () (not @t340)) % 25.63/25.88 (define @t342 () (not @t111)) % 25.63/25.88 (define @t343 () (or @t342 @t341 @t339 @t117 (= @t329 tptp.xp) @t338 @t336)) % 25.63/25.88 (define @t344 () (forall @t23 @t323)) % 25.63/25.88 (define @t345 () (= @t120 @t333)) % 25.63/25.88 (define @t346 () (not @t345)) % 25.63/25.88 (define @t347 () (and @t346 @t334 (not (= @t328 @t330)) @t331)) % 25.63/25.88 (define @t348 () (= tptp.xp @t329)) % 25.63/25.88 (define @t349 () (= tptp.sz00 tptp.xl)) % 25.63/25.88 (define @t350 () (or @t342 @t341 @t339 @t349 @t348 @t338 @t347)) % 25.63/25.88 (define @t351 () (tptp.sdtlseqdt0 tptp.xp @t329)) % 25.63/25.88 (define @t352 () (not (= @t329 @t128))) % 25.63/25.88 (define @t353 () (or @t134 @t352)) % 25.63/25.88 (define @t354 () (forall @t3 @t353)) % 25.63/25.88 (define @t355 () (not @t354)) % 25.63/25.88 (define @t356 () (or @t355 @t351)) % 25.63/25.88 (define @t357 () (= tptp.xq @t128)) % 25.63/25.88 (define @t358 () (not @t357)) % 25.63/25.88 (define @t359 () (or @t134 @t358)) % 25.63/25.88 (define @t360 () (forall @t3 @t359)) % 25.63/25.88 (define @t361 () (not @t360)) % 25.63/25.88 (define @t362 () (or @t361 @t127)) % 25.63/25.88 (define @t363 () (and @t2 @t357)) % 25.63/25.88 (define @t364 () (forall @t3 (not @t363))) % 25.63/25.88 (define @t365 () (not @t364)) % 25.63/25.88 (define @t366 () (not @t348)) % 25.63/25.88 (define @t367 () (and @t366 @t337)) % 25.63/25.88 (define @t368 () (or @t339 @t341 @t351 @t367)) % 25.63/25.88 (define @t369 () (@list true false false false)) % 25.63/25.88 (define @t370 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 25.63/25.88 (define @t371 () (and (tptp.aNaturalNumber0 @t370) (= @t8 (tptp.sdtasdt0 @t1 @t370)))) % 25.63/25.88 (define @t372 () (= @t371 (= @t370 @t101))) % 25.63/25.88 (define @t373 () (not @t100)) % 25.63/25.88 (define @t374 () (or @t134 @t133 @t40 @t373 @t372)) % 25.63/25.88 (define @t375 () (@list @t1 @t8 @t370)) % 25.63/25.88 (define @t376 () (forall @t375 @t374)) % 25.63/25.88 (define @t377 () (@list @t370)) % 25.63/25.88 (define @t378 () (forall @t377 @t374)) % 25.63/25.88 (define @t379 () (forall @t377 @t372)) % 25.63/25.88 (define @t380 () (or @t134 @t133 @t40 @t373 @t379)) % 25.63/25.88 (define @t381 () (forall @t48 (= @t99 @t102))) % 25.63/25.88 (define @t382 () (or @t134 @t133 @t40 @t373 @t381)) % 25.63/25.88 (define @t383 () (or @t40 @t373 @t381)) % 25.63/25.88 (define @t384 () (=> @t104 @t381)) % 25.63/25.88 (define @t385 () (tptp.sdtsldt0 @t120 tptp.xl)) % 25.63/25.88 (define @t386 () (= @t385 @t329)) % 25.63/25.88 (define @t387 () (and @t340 @t345)) % 25.63/25.88 (define @t388 () (= @t387 @t386)) % 25.63/25.88 (define @t389 () (tptp.doDivides0 tptp.xl @t120)) % 25.63/25.88 (define @t390 () (not @t389)) % 25.63/25.88 (define @t391 () (or @t342 @t142 @t117 @t390 @t388)) % 25.63/25.88 (define @t392 () (forall @t375 (or @t134 @t133 @t40 @t373 (= @t371 (= @t101 @t370))))) % 25.63/25.88 (define @t393 () (or @t342 @t142 @t349 @t390 @t388)) % 25.63/25.88 (define @t394 () (tptp.sdtlseqdt0 tptp.xp tptp.xp)) % 25.63/25.88 (define @t395 () (or @t339 @t394)) % 25.63/25.88 (define @t396 () (not @t394)) % 25.63/25.88 (define @t397 () (= @t152 @t333)) % 25.63/25.88 (define @t398 () (not @t397)) % 25.63/25.88 (define @t399 () (= tptp.xp @t385)) % 25.63/25.88 (define @t400 () (not @t399)) % 25.63/25.88 (define @t401 () (not @t351)) % 25.63/25.88 (define @t402 () (and @t394 @t399 @t345 @t397 @t401)) % 25.63/25.88 (define @t403 () (not @t387)) % 25.63/25.88 (define @t404 () (not @t386)) % 25.63/25.88 (define @t405 () (and @t399 @t404)) % 25.63/25.88 (define @t406 () (= @t333 @t330)) % 25.63/25.88 (define @t407 () (or @t342 @t341 @t406)) % 25.63/25.88 (define @t408 () (= @t120 @t328)) % 25.63/25.88 (define @t409 () (or @t342 @t339 @t408)) % 25.63/25.88 (define @t410 () (tptp.sdtlseqdt0 @t152 @t120)) % 25.63/25.88 (define @t411 () (and @t397 @t408 @t406 @t334)) % 25.63/25.88 (define @t412 () (not @t334)) % 25.63/25.88 (define @t413 () (tptp.aNaturalNumber0 @t152)) % 25.63/25.88 (define @t414 () (not @t109)) % 25.63/25.88 (define @t415 () (or @t142 @t414 @t413)) % 25.63/25.88 (define @t416 () (= @t120 @t152)) % 25.63/25.88 (define @t417 () (not @t416)) % 25.63/25.88 (define @t418 () (not @t346)) % 25.63/25.88 (define @t419 () (and @t397 @t346)) % 25.63/25.88 (define @t420 () (not @t410)) % 25.63/25.88 (define @t421 () (tptp.sdtlseqdt0 @t120 @t152)) % 25.63/25.88 (define @t422 () (not @t421)) % 25.63/25.88 (define @t423 () (not @t413)) % 25.63/25.88 (define @t424 () (or @t142 @t423 @t422 @t420 @t416)) % 25.63/25.88 (define @t425 () (tptp.aNaturalNumber0 @t139)) % 25.63/25.88 (define @t426 () (or @t143 @t142 @t425)) % 25.63/25.88 (define @t427 () (tptp.sdtlseqdt0 @t139 @t152)) % 25.63/25.88 (define @t428 () (not @t427)) % 25.63/25.88 (define @t429 () (not @t319)) % 25.63/25.88 (define @t430 () (not @t425)) % 25.63/25.88 (define @t431 () (or @t142 @t430 @t423 @t429 @t428 @t421)) % 25.63/25.88 (define @t432 () (@list false false false true false false)) % 25.63/25.88 (define @t433 () (tptp.sdtpldt0 tptp.xn @t120)) % 25.63/25.88 (define @t434 () (tptp.sdtlseqdt0 @t139 @t433)) % 25.63/25.88 (define @t435 () (not (= @t433 @t139))) % 25.63/25.88 (define @t436 () (tptp.sdtlseqdt0 @t138 @t152)) % 25.63/25.88 (define @t437 () (not (= @t138 @t152))) % 25.63/25.88 (define @t438 () (and @t437 @t436 @t435 @t434)) % 25.63/25.88 (define @t439 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xn)) % 25.63/25.88 (define @t440 () (not @t439)) % 25.63/25.88 (define @t441 () (= tptp.sz10 tptp.xn)) % 25.63/25.88 (define @t442 () (or @t143 @t414 @t441 @t440 @t142 @t438)) % 25.63/25.88 (define @t443 () (and (not (= @t152 @t138)) @t436 (not (= @t139 @t433)) @t434)) % 25.63/25.88 (define @t444 () (or @t143 @t414 @t441 @t440 @t142 @t443)) % 25.63/25.88 (define @t445 () (= tptp.xn tptp.sz10)) % 25.63/25.88 (define @t446 () (not @t445)) % 25.63/25.88 (define @t447 () (and @t446 @t439)) % 25.63/25.88 (define @t448 () (or @t414 (= tptp.xn tptp.sz00) @t445 @t447)) % 25.63/25.88 (define @t449 () (not @t441)) % 25.63/25.88 (define @t450 () (and @t449 @t439)) % 25.63/25.88 (define @t451 () (= tptp.sz00 tptp.xn)) % 25.63/25.88 (define @t452 () (or @t414 @t451 @t441 @t450)) % 25.63/25.88 (define @t453 () (= @t120 @t139)) % 25.63/25.88 (define @t454 () (not @t453)) % 25.63/25.88 (define @t455 () (and @t316 @t140 @t181)) % 25.63/25.88 (define @t456 () (tptp.sdtlseqdt0 @t139 @t120)) % 25.63/25.88 (define @t457 () (not @t456)) % 25.63/25.88 (define @t458 () (or @t142 @t430 @t429 @t457 @t453)) % 25.63/25.88 (define @t459 () (and @t457 @t140 @t441 @t397 @t334)) % 25.63/25.88 (define @t460 () (= @t113 @t112)) % 25.63/25.88 (define @t461 () (not @t460)) % 25.63/25.88 (define @t462 () (or @t134 @t461)) % 25.63/25.88 (define @t463 () (forall @t3 @t462)) % 25.63/25.88 (define @t464 () (and @t2 @t460)) % 25.63/25.88 (define @t465 () (forall @t3 (not @t464))) % 25.63/25.88 (define @t466 () (not @t465)) % 25.63/25.88 (define @t467 () (forall @t3 (or @t134 (not (= @t113 @t152))))) % 25.63/25.88 (define @t468 () (@quantifiers_skolemize @t467 0)) % 25.63/25.88 (define @t469 () (tptp.sdtasdt0 tptp.xl @t468)) % 25.63/25.88 (define @t470 () (= @t152 @t469)) % 25.63/25.88 (define @t471 () (not @t470)) % 25.63/25.88 (define @t472 () (not (tptp.aNaturalNumber0 @t468))) % 25.63/25.88 (define @t473 () (or @t472 @t471)) % 25.63/25.88 (define @t474 () (not @t473)) % 25.63/25.88 (define @t475 () (not @t467)) % 25.63/25.88 (define @t476 () (not (= @t469 @t152))) % 25.63/25.88 (define @t477 () (or @t472 @t476)) % 25.63/25.88 (define @t478 () (not @t477)) % 25.63/25.88 (define @t479 () (= @t120 @t469)) % 25.63/25.88 (define @t480 () (not @t479)) % 25.63/25.88 (define @t481 () (and @t397 @t470 @t346)) % 25.63/25.88 (define @t482 () (and @t470 @t451 @t316)) % 25.63/25.88 (define @t483 () (not @t451)) % 25.63/25.88 (define @t484 () (@list false true false)) % 25.63/25.88 (define @t485 () (not @t436)) % 25.63/25.88 (define @t486 () (and @t436 @t140 @t428)) % 25.63/25.88 (assume @p1 (forall @t3 (=> @t2 true))) % 25.63/25.88 (assume @p2 @t4) % 25.63/25.88 (assume @p3 (and @t7 @t6)) % 25.63/25.88 (assume @p4 @t14) % 25.63/25.88 (assume @p5 (forall @t13 (=> @t12 (tptp.aNaturalNumber0 @t15)))) % 25.63/25.88 (assume @p6 @t18) % 25.63/25.88 (assume @p7 (forall @t23 (=> @t22 (= (tptp.sdtpldt0 @t9 @t19) (tptp.sdtpldt0 @t1 @t20))))) % 25.63/25.88 (assume @p8 @t28) % 25.63/25.88 (assume @p9 @t31) % 25.63/25.88 (assume @p10 (forall @t23 (=> @t22 (= (tptp.sdtasdt0 @t15 @t19) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t8 @t19)))))) % 25.63/25.88 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 25.63/25.88 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 25.63/25.88 (assume @p13 (forall @t23 (=> @t22 (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t15 @t33)) (= (tptp.sdtasdt0 @t20 @t1) (tptp.sdtpldt0 @t29 @t32)))))) % 25.63/25.88 (assume @p14 (forall @t23 (=> @t22 (=> (or (= @t9 @t36) (= @t16 @t35)) @t34)))) % 25.63/25.88 (assume @p15 (forall @t3 (=> @t2 (=> @t41 (forall (@list @t8 @t19) (=> @t39 (=> (or @t38 @t37) @t34))))))) % 25.63/25.88 (assume @p16 @t46) % 25.63/25.88 (assume @p17 (forall @t13 (=> @t12 (=> (= @t15 tptp.sz00) (or @t40 @t42))))) % 25.63/25.88 (assume @p18 (forall @t13 (=> @t12 (= @t49 (exists @t48 @t47))))) % 25.63/25.88 (assume @p19 @t55) % 25.63/25.88 (assume @p20 @t57) % 25.63/25.88 (assume @p21 @t62) % 25.63/25.88 (assume @p22 @t67) % 25.63/25.88 (assume @p23 @t72) % 25.63/25.88 (assume @p24 @t85) % 25.63/25.88 (assume @p25 @t90) % 25.63/25.88 (assume @p26 @t97) % 25.63/25.88 (assume @p27 (forall @t13 (=> @t12 (=> @t41 (tptp.sdtlseqdt0 @t8 @t29))))) % 25.63/25.88 (assume @p28 (forall @t13 (=> @t12 (=> @t98 true)))) % 25.63/25.88 (assume @p29 (forall @t13 (=> @t12 (=> @t82 @t98)))) % 25.63/25.88 (assume @p30 (forall @t13 (=> @t12 (= @t100 (exists @t48 @t99))))) % 25.63/25.88 (assume @p31 @t107) % 25.63/25.88 (assume @p32 (forall @t23 (=> @t22 (=> (and @t100 (tptp.doDivides0 @t8 @t19)) @t108)))) % 25.63/25.88 (assume @p33 (forall @t23 (=> @t22 (=> (and @t100 @t108) (tptp.doDivides0 @t1 @t20))))) % 25.63/25.88 (assume @p34 (and @t111 @t110 @t109)) % 25.63/25.88 (assume @p35 (and (exists @t3 (and @t2 (= tptp.xm @t113))) @t116 @t115 (tptp.doDivides0 tptp.xl @t112))) % 25.63/25.88 (assume @p36 (not @t117)) % 25.63/25.88 (assume @p37 (and @t121 (= tptp.xm @t120) @t119)) % 25.63/25.88 (assume @p38 (and @t126 @t125 @t123)) % 25.63/25.88 (assume @p39 @t132) % 25.63/25.88 (assume @p40 true) % 25.63/25.88 (step @p41 :rule aci_norm :args ((= (or @t135 @t17) (or @t134 @t133 @t17)))) % 25.63/25.88 (step @p42 :rule refl :args (@t17)) % 25.63/25.88 (step @p43 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 25.63/25.88 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t136 @t17))) % 25.63/25.88 (step @p45 :rule trans :premises (@p44 @p41)) % 25.63/25.88 (step @p46 :rule bool-impl-elim :args (@t12 @t17)) % 25.63/25.88 (step @p47 :rule trans :premises (@p46 @p45)) % 25.63/25.88 (step @p48 :rule cong :premises (@p47) :args (@t18)) % 25.63/25.88 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 25.63/25.88 (step @p50 :rule instantiate :premises (@p49) :args (@t137)) % 25.63/25.88 (step @p51 :rule and_elim :premises (@p37) :args (1)) % 25.63/25.88 (step @p52 :rule cong :premises (@p51) :args (@t110)) % 25.63/25.88 (step @p53 :rule and_elim :premises (@p34) :args (1)) % 25.63/25.88 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 25.63/25.88 (step @p55 :rule and_elim :premises (@p3) :args (0)) % 25.63/25.88 (step @p56 :rule cnf_or_pos :args (@t144)) % 25.63/25.88 (step @p57 :rule reordering :premises (@p56) :args ((or @t143 @t142 @t140 (not @t144)))) % 25.63/25.88 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54 @p50) :args (@t140 @t145 (@list @t7 @t141 @t144))) % 25.63/25.88 (step @p59 :rule aci_norm :args ((= (or @t150 @t149) (or @t134 @t133 @t148 @t147 @t146 @t63)))) % 25.63/25.88 (step @p60 :rule aci_norm :args ((= (or (or @t147 @t146) @t63) @t149))) % 25.63/25.88 (step @p61 :rule refl :args (@t63)) % 25.63/25.88 (step @p62 :rule bool-and-de-morgan :args (@t49 @t64 true)) % 25.63/25.88 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t65) @t63))) % 25.63/25.88 (step @p64 :rule trans :premises (@p63 @p60)) % 25.63/25.88 (step @p65 :rule bool-impl-elim :args (@t65 @t63)) % 25.63/25.88 (step @p66 :rule trans :premises (@p65 @p64)) % 25.63/25.88 (step @p67 :rule aci_norm :args ((= (or @t134 (or @t133 @t148)) @t150))) % 25.63/25.88 (step @p68 :rule bool-and-de-morgan :args (@t11 @t21 true)) % 25.63/25.88 (step @p69 :rule refl :args (@t134)) % 25.63/25.88 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t134 (not @t39)))) % 25.63/25.88 (step @p71 :rule bool-and-de-morgan :args (@t2 @t11 (and @t21))) % 25.63/25.88 (step @p72 :rule trans :premises (@p71 @p70)) % 25.63/25.88 (step @p73 :rule trans :premises (@p72 @p67)) % 25.63/25.88 (step @p74 :rule nary_cong :premises (@p73 @p66) :args ((or @t151 @t66))) % 25.63/25.88 (step @p75 :rule trans :premises (@p74 @p59)) % 25.63/25.88 (step @p76 :rule bool-impl-elim :args (@t22 @t66)) % 25.63/25.88 (step @p77 :rule trans :premises (@p76 @p75)) % 25.63/25.88 (step @p78 :rule cong :premises (@p77) :args (@t67)) % 25.63/25.88 (step @p79 :rule eq_resolve :premises (@p22 @p78)) % 25.63/25.88 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t120 @t139 @t152))) % 25.63/25.88 (step @p81 :rule aci_norm :args ((= @t162 @t160))) % 25.63/25.88 (step @p82 :rule cong :premises (@p81) :args (@t164)) % 25.63/25.88 (step @p83 :rule quant-merge-prenex :args ((= (forall @t13 @t166) @t164))) % 25.63/25.88 (step @p84 :rule alpha_equiv :args (@t167 (@list @t153) @t168)) % 25.63/25.88 (step @p85 :rule refl :args (@t147)) % 25.63/25.88 (step @p86 :rule refl :args (@t58)) % 25.63/25.88 (step @p87 :rule refl :args (@t133)) % 25.63/25.88 (step @p88 :rule nary_cong :premises (@p69 @p87 @p86 @p85 @p84) :args (@t169)) % 25.63/25.88 (step @p89 :rule quant-miniscope-or :args ((= @t166 @t169))) % 25.63/25.88 (step @p90 :rule trans :premises (@p89 @p88)) % 25.63/25.88 (step @p91 :rule symm :premises (@p90)) % 25.63/25.88 (step @p92 :rule cong :premises (@p91) :args ((forall @t13 @t172))) % 25.63/25.88 (step @p93 :rule trans :premises (@p92 @p83)) % 25.63/25.88 (step @p94 :rule trans :premises (@p93 @p82)) % 25.63/25.88 (step @p95 :rule aci_norm :args ((= (or @t135 @t173) @t172))) % 25.63/25.88 (step @p96 :rule aci_norm :args ((= (or (or @t58 @t147) @t171) @t173))) % 25.63/25.88 (step @p97 :rule refl :args (@t171)) % 25.63/25.88 (step @p98 :rule bool-double-not-elim :args (@t58)) % 25.63/25.88 (step @p99 :rule nary_cong :premises (@p98 @p85) :args ((or (not @t81) @t147))) % 25.63/25.88 (step @p100 :rule bool-and-de-morgan :args (@t81 @t49 true)) % 25.63/25.88 (step @p101 :rule trans :premises (@p100 @p99)) % 25.63/25.88 (step @p102 :rule nary_cong :premises (@p101 @p97) :args ((or (not @t82) @t171))) % 25.63/25.88 (step @p103 :rule trans :premises (@p102 @p96)) % 25.63/25.88 (step @p104 :rule bool-impl-elim :args (@t82 @t171)) % 25.63/25.88 (step @p105 :rule trans :premises (@p104 @p103)) % 25.63/25.88 (step @p106 :rule nary_cong :premises (@p43 @p105) :args ((or @t136 @t174))) % 25.63/25.88 (step @p107 :rule trans :premises (@p106 @p95)) % 25.63/25.88 (step @p108 :rule bool-impl-elim :args (@t12 @t174)) % 25.63/25.88 (step @p109 :rule trans :premises (@p108 @p107)) % 25.63/25.88 (step @p110 :rule cong :premises (@p109) :args ((forall @t13 (=> @t12 @t174)))) % 25.63/25.88 (step @p111 :rule trans :premises (@p110 @p94)) % 25.63/25.88 (step @p112 :rule bool-impl-elim :args (@t21 @t170)) % 25.63/25.88 (step @p113 :rule cong :premises (@p112) :args ((forall @t48 (=> @t21 @t170)))) % 25.63/25.88 (step @p114 :rule refl :args (@t73)) % 25.63/25.88 (step @p115 :rule eq-symm :args (@t36 @t20)) % 25.63/25.88 (step @p116 :rule cong :premises (@p115) :args (@t74)) % 25.63/25.88 (step @p117 :rule refl :args (@t76)) % 25.63/25.88 (step @p118 :rule refl :args (@t77)) % 25.63/25.88 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p114) :args (@t78)) % 25.63/25.88 (step @p120 :rule refl :args (@t21)) % 25.63/25.88 (step @p121 :rule cong :premises (@p120 @p119) :args (@t79)) % 25.63/25.88 (step @p122 :rule cong :premises (@p121) :args (@t80)) % 25.63/25.88 (step @p123 :rule trans :premises (@p122 @p113)) % 25.63/25.88 (step @p124 :rule refl :args (@t82)) % 25.63/25.88 (step @p125 :rule cong :premises (@p124 @p123) :args (@t83)) % 25.63/25.88 (step @p126 :rule refl :args (@t12)) % 25.63/25.88 (step @p127 :rule cong :premises (@p126 @p125) :args (@t84)) % 25.63/25.88 (step @p128 :rule cong :premises (@p127) :args (@t85)) % 25.63/25.88 (step @p129 :rule trans :premises (@p128 @p111)) % 25.63/25.88 (step @p130 :rule eq_resolve :premises (@p24 @p129)) % 25.63/25.88 (step @p131 :rule refl :args (@t176)) % 25.63/25.88 (step @p132 :rule eq-symm :args (@t139 @t175)) % 25.63/25.88 (step @p133 :rule cong :premises (@p132) :args (@t177)) % 25.63/25.88 (step @p134 :rule refl :args (@t179)) % 25.63/25.88 (step @p135 :rule refl :args (@t181)) % 25.63/25.88 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p131) :args (@t182)) % 25.63/25.88 (step @p137 :rule refl :args (@t142)) % 25.63/25.88 (step @p138 :rule refl :args (@t184)) % 25.63/25.88 (step @p139 :rule refl :args (@t185)) % 25.63/25.88 (step @p140 :rule refl :args (@t143)) % 25.63/25.88 (step @p141 :rule refl :args (@t186)) % 25.63/25.88 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137 @p136) :args (@t187)) % 25.63/25.88 (step @p143 :rule refl :args (@t188)) % 25.63/25.88 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t188 @t187))) % 25.63/25.88 (assume-push @p1159 @t188) % 25.63/25.88 (step @p146 :rule instantiate :premises (@p130) :args ((@list tptp.sz00 tptp.sz10 @t120))) % 25.63/25.88 (step-pop @p1160 :rule scope :premises (@p146)) % 25.63/25.88 (step @p147 :rule process_scope :premises (@p1160) :args (@t187)) % 25.63/25.88 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 25.63/25.88 (step @p150 :rule implies_elim :premises (@p149)) % 25.63/25.88 (step @p151 :rule chain_m_resolution :premises (@p150 @p130) :args (@t190 @t191 @t192)) % 25.63/25.88 (step @p152 :rule aci_norm :args ((= (or @t135 @t195) @t194))) % 25.63/25.88 (step @p153 :rule refl :args (@t195)) % 25.63/25.88 (step @p154 :rule nary_cong :premises (@p43 @p153) :args ((or @t136 @t195))) % 25.63/25.88 (step @p155 :rule trans :premises (@p154 @p152)) % 25.63/25.88 (step @p156 :rule bool-impl-elim :args (@t12 @t195)) % 25.63/25.88 (step @p157 :rule trans :premises (@p156 @p155)) % 25.63/25.88 (step @p158 :rule cong :premises (@p157) :args ((forall @t13 (=> @t12 @t195)))) % 25.63/25.88 (step @p159 :rule refl :args (@t59)) % 25.63/25.88 (step @p160 :rule eq-symm :args (@t8 @t1)) % 25.63/25.88 (step @p161 :rule cong :premises (@p160) :args (@t68)) % 25.63/25.88 (step @p162 :rule nary_cong :premises (@p161 @p159) :args (@t69)) % 25.63/25.88 (step @p163 :rule refl :args (@t49)) % 25.63/25.88 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t70)) % 25.63/25.88 (step @p165 :rule cong :premises (@p126 @p164) :args (@t71)) % 25.63/25.88 (step @p166 :rule cong :premises (@p165) :args (@t72)) % 25.63/25.88 (step @p167 :rule trans :premises (@p166 @p158)) % 25.63/25.88 (step @p168 :rule eq_resolve :premises (@p23 @p167)) % 25.63/25.88 (step @p169 :rule refl :args (@t183)) % 25.63/25.88 (step @p170 :rule eq-symm :args (tptp.sz10 tptp.sz00)) % 25.63/25.88 (step @p171 :rule cong :premises (@p170) :args (@t6)) % 25.63/25.88 (step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t196)) % 25.63/25.88 (step @p173 :rule refl :args (@t197)) % 25.63/25.88 (step @p174 :rule nary_cong :premises (@p140 @p141 @p173 @p172) :args (@t198)) % 25.63/25.88 (step @p175 :rule refl :args (@t199)) % 25.63/25.88 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t199 @t198))) % 25.63/25.88 (assume-push @p1161 @t199) % 25.63/25.88 (step @p178 :rule instantiate :premises (@p168) :args ((@list tptp.sz10 tptp.sz00))) % 25.63/25.88 (step-pop @p1162 :rule scope :premises (@p178)) % 25.63/25.88 (step @p179 :rule process_scope :premises (@p1162) :args (@t198)) % 25.63/25.88 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 25.63/25.88 (step @p182 :rule implies_elim :premises (@p181)) % 25.63/25.88 (step @p183 :rule chain_m_resolution :premises (@p182 @p168) :args (@t202 @t191 (@list @t199))) % 25.63/25.88 (step @p184 :rule refl :args (@t205)) % 25.63/25.88 (step @p185 :rule refl :args (@t206)) % 25.63/25.88 (step @p186 :rule refl :args (@t208)) % 25.63/25.88 (step @p187 :rule eq-symm :args (@t204 @t207)) % 25.63/25.88 (step @p188 :rule cong :premises (@p187) :args (@t209)) % 25.63/25.88 (step @p189 :rule nary_cong :premises (@p188 @p186 @p185 @p184) :args (@t210)) % 25.63/25.88 (step @p190 :rule refl :args (@t211)) % 25.63/25.88 (step @p191 :rule nary_cong :premises (@p140 @p141 @p170 @p190 @p140 @p189) :args (@t212)) % 25.63/25.88 (step @p192 :rule cong :premises (@p143 @p191) :args ((=> @t188 @t212))) % 25.63/25.88 (assume-push @p1163 @t188) % 25.63/25.88 (step @p194 :rule instantiate :premises (@p130) :args ((@list tptp.sz10 tptp.sz00 tptp.sz10))) % 25.63/25.88 (step-pop @p1164 :rule scope :premises (@p194)) % 25.63/25.88 (step @p195 :rule process_scope :premises (@p1164) :args (@t212)) % 25.63/25.88 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 25.63/25.88 (step @p198 :rule implies_elim :premises (@p197)) % 25.63/25.88 (step @p199 :rule chain_m_resolution :premises (@p198 @p130) :args (@t214 @t191 @t192)) % 25.63/25.88 (step @p200 :rule aci_norm :args ((= (or @t135 @t216) (or @t134 @t133 @t147 @t215 @t58)))) % 25.63/25.88 (step @p201 :rule aci_norm :args ((= (or (or @t147 @t215) @t58) @t216))) % 25.63/25.88 (step @p202 :rule bool-and-de-morgan :args (@t49 @t59 true)) % 25.63/25.88 (step @p203 :rule nary_cong :premises (@p202 @p86) :args ((or (not @t60) @t58))) % 25.63/25.88 (step @p204 :rule trans :premises (@p203 @p201)) % 25.63/25.88 (step @p205 :rule bool-impl-elim :args (@t60 @t58)) % 25.63/25.88 (step @p206 :rule trans :premises (@p205 @p204)) % 25.63/25.88 (step @p207 :rule nary_cong :premises (@p43 @p206) :args ((or @t136 @t61))) % 25.63/25.88 (step @p208 :rule trans :premises (@p207 @p200)) % 25.63/25.88 (step @p209 :rule bool-impl-elim :args (@t12 @t61)) % 25.63/25.88 (step @p210 :rule trans :premises (@p209 @p208)) % 25.63/25.88 (step @p211 :rule cong :premises (@p210) :args (@t62)) % 25.63/25.88 (step @p212 :rule eq_resolve :premises (@p21 @p211)) % 25.63/25.88 (step @p213 :rule instantiate :premises (@p212) :args ((@list tptp.sz10 @t204))) % 25.63/25.88 (step @p214 :rule aci_norm :args ((= (or @t134 @t219) @t218))) % 25.63/25.88 (step @p215 :rule bool-impl-elim :args (@t2 @t219)) % 25.63/25.88 (step @p216 :rule trans :premises (@p215 @p214)) % 25.63/25.88 (step @p217 :rule cong :premises (@p216) :args ((forall @t3 (=> @t2 @t219)))) % 25.63/25.88 (step @p218 :rule refl :args (@t91)) % 25.63/25.88 (step @p219 :rule eq-symm :args (tptp.sz10 @t1)) % 25.63/25.88 (step @p220 :rule cong :premises (@p219) :args (@t92)) % 25.63/25.88 (step @p221 :rule nary_cong :premises (@p220 @p218) :args (@t93)) % 25.63/25.88 (step @p222 :rule refl :args (@t94)) % 25.63/25.88 (step @p223 :rule refl :args (@t40)) % 25.63/25.88 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221) :args (@t95)) % 25.63/25.88 (step @p225 :rule refl :args (@t2)) % 25.63/25.88 (step @p226 :rule cong :premises (@p225 @p224) :args (@t96)) % 25.63/25.88 (step @p227 :rule cong :premises (@p226) :args (@t97)) % 25.63/25.88 (step @p228 :rule trans :premises (@p227 @p217)) % 25.63/25.88 (step @p229 :rule eq_resolve :premises (@p26 @p228)) % 25.63/25.88 (step @p230 :rule refl :args (@t220)) % 25.63/25.88 (step @p231 :rule eq-symm :args (@t204 tptp.sz10)) % 25.63/25.88 (step @p232 :rule cong :premises (@p231) :args (@t222)) % 25.63/25.88 (step @p233 :rule nary_cong :premises (@p232 @p230) :args (@t223)) % 25.63/25.88 (step @p234 :rule eq-symm :args (@t204 tptp.sz00)) % 25.63/25.88 (step @p235 :rule refl :args (@t225)) % 25.63/25.88 (step @p236 :rule nary_cong :premises (@p235 @p234 @p231 @p233) :args (@t226)) % 25.63/25.88 (step @p237 :rule refl :args (@t227)) % 25.63/25.88 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t227 @t226))) % 25.63/25.88 (assume-push @p1165 @t227) % 25.63/25.88 (step @p240 :rule instantiate :premises (@p229) :args ((@list @t204))) % 25.63/25.88 (step-pop @p1166 :rule scope :premises (@p240)) % 25.63/25.88 (step @p241 :rule process_scope :premises (@p1166) :args (@t226)) % 25.63/25.88 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 25.63/25.88 (step @p244 :rule implies_elim :premises (@p243)) % 25.63/25.88 (step @p245 :rule chain_m_resolution :premises (@p244 @p229) :args (@t232 @t191 @t233)) % 25.63/25.88 (step @p246 :rule aci_norm :args ((= (or @t135 @t10) (or @t134 @t133 @t10)))) % 25.63/25.88 (step @p247 :rule refl :args (@t10)) % 25.63/25.88 (step @p248 :rule nary_cong :premises (@p43 @p247) :args ((or @t136 @t10))) % 25.63/25.88 (step @p249 :rule trans :premises (@p248 @p246)) % 25.63/25.88 (step @p250 :rule bool-impl-elim :args (@t12 @t10)) % 25.63/25.88 (step @p251 :rule trans :premises (@p250 @p249)) % 25.63/25.88 (step @p252 :rule cong :premises (@p251) :args (@t14)) % 25.63/25.88 (step @p253 :rule eq_resolve :premises (@p4 @p252)) % 25.63/25.88 (step @p254 :rule instantiate :premises (@p253) :args (@t234)) % 25.63/25.88 (step @p255 :rule cnf_or_pos :args (@t235)) % 25.63/25.88 (step @p256 :rule factoring :premises (@p255)) % 25.63/25.88 (step @p257 :rule reordering :premises (@p256) :args ((or @t143 @t224 (not @t235)))) % 25.63/25.88 (step @p258 :rule chain_m_resolution :premises (@p257 @p55 @p254) :args (@t224 @t236 (@list @t7 @t235))) % 25.63/25.88 (step @p259 :rule eq-symm :args (@t238 @t239)) % 25.63/25.88 (step @p260 :rule refl :args (@t239)) % 25.63/25.88 (step @p261 :rule eq-symm :args (@t237 @t50)) % 25.63/25.88 (step @p262 :rule cong :premises (@p261 @p260) :args (@t240)) % 25.63/25.88 (step @p263 :rule trans :premises (@p262 @p259)) % 25.63/25.88 (step @p264 :rule refl :args (@t147)) % 25.63/25.88 (step @p265 :rule refl :args (@t133)) % 25.63/25.88 (step @p266 :rule refl :args (@t134)) % 25.63/25.88 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264 @p263) :args (@t241)) % 25.63/25.88 (step @p268 :rule cong :premises (@p267) :args (@t243)) % 25.63/25.88 (step @p269 :rule quant-merge-prenex :args ((= (forall @t13 @t245) @t243))) % 25.63/25.88 (step @p270 :rule alpha_equiv :args (@t246 (@list @t237) @t168)) % 25.63/25.88 (step @p271 :rule nary_cong :premises (@p69 @p87 @p85 @p270) :args (@t247)) % 25.63/25.88 (step @p272 :rule quant-miniscope-or :args ((= @t245 @t247))) % 25.63/25.88 (step @p273 :rule trans :premises (@p272 @p271)) % 25.63/25.88 (step @p274 :rule symm :premises (@p273)) % 25.63/25.88 (step @p275 :rule cong :premises (@p274) :args ((forall @t13 @t250))) % 25.63/25.88 (step @p276 :rule trans :premises (@p275 @p269)) % 25.63/25.88 (step @p277 :rule trans :premises (@p276 @p268)) % 25.63/25.88 (step @p278 :rule aci_norm :args ((= (or @t135 (or @t147 @t249)) @t250))) % 25.63/25.88 (step @p279 :rule bool-impl-elim :args (@t49 @t249)) % 25.63/25.88 (step @p280 :rule nary_cong :premises (@p43 @p279) :args ((or @t136 @t251))) % 25.63/25.88 (step @p281 :rule trans :premises (@p280 @p278)) % 25.63/25.88 (step @p282 :rule bool-impl-elim :args (@t12 @t251)) % 25.63/25.88 (step @p283 :rule trans :premises (@p282 @p281)) % 25.63/25.88 (step @p284 :rule cong :premises (@p283) :args ((forall @t13 (=> @t12 @t251)))) % 25.63/25.88 (step @p285 :rule trans :premises (@p284 @p277)) % 25.63/25.88 (step @p286 :rule eq-symm :args (@t248 @t51)) % 25.63/25.88 (step @p287 :rule refl :args (@t51)) % 25.63/25.88 (step @p288 :rule eq-symm :args (@t36 @t8)) % 25.63/25.88 (step @p289 :rule nary_cong :premises (@p120 @p288) :args (@t47)) % 25.63/25.88 (step @p290 :rule cong :premises (@p289 @p287) :args ((= @t47 @t51))) % 25.63/25.88 (step @p291 :rule trans :premises (@p290 @p286)) % 25.63/25.88 (step @p292 :rule eq-symm :args (@t51 @t47)) % 25.63/25.88 (step @p293 :rule trans :premises (@p292 @p291)) % 25.63/25.88 (step @p294 :rule cong :premises (@p293) :args (@t52)) % 25.63/25.88 (step @p295 :rule cong :premises (@p163 @p294) :args (@t53)) % 25.63/25.88 (step @p296 :rule cong :premises (@p126 @p295) :args (@t54)) % 25.63/25.88 (step @p297 :rule cong :premises (@p296) :args (@t55)) % 25.63/25.88 (step @p298 :rule trans :premises (@p297 @p285)) % 25.63/25.88 (step @p299 :rule eq_resolve :premises (@p19 @p298)) % 25.63/25.88 (step @p300 :rule eq-symm :args (@t252 tptp.sz10)) % 25.63/25.88 (step @p301 :rule refl :args (@t253)) % 25.63/25.88 (step @p302 :rule cong :premises (@p301 @p300) :args (@t254)) % 25.63/25.88 (step @p303 :rule refl :args (@t256)) % 25.63/25.88 (step @p304 :rule nary_cong :premises (@p140 @p140 @p303 @p302) :args (@t257)) % 25.63/25.88 (step @p305 :rule refl :args (@t258)) % 25.63/25.88 (step @p306 :rule cong :premises (@p305 @p304) :args ((=> @t258 @t257))) % 25.63/25.88 (assume-push @p1167 @t258) % 25.63/25.88 (step @p308 :rule instantiate :premises (@p299) :args ((@list tptp.sz10 tptp.sz10 tptp.sz10))) % 25.63/25.88 (step-pop @p1168 :rule scope :premises (@p308)) % 25.63/25.88 (step @p309 :rule process_scope :premises (@p1168) :args (@t257)) % 25.63/25.88 (step @p311 :rule eq_resolve :premises (@p309 @p306)) % 25.63/25.88 (step @p312 :rule implies_elim :premises (@p311)) % 25.63/25.88 (step @p313 :rule chain_m_resolution :premises (@p312 @p299) :args (@t261 @t191 @t262)) % 25.63/25.88 (step @p314 :rule bool-impl-elim :args (@t2 @t56)) % 25.63/25.88 (step @p315 :rule cong :premises (@p314) :args (@t57)) % 25.63/25.88 (step @p316 :rule eq_resolve :premises (@p20 @p315)) % 25.63/25.88 (step @p317 :rule instantiate :premises (@p316) :args (@t263)) % 25.63/25.88 (step @p318 :rule cnf_or_pos :args (@t264)) % 25.63/25.88 (step @p319 :rule reordering :premises (@p318) :args ((or @t143 @t255 (not @t264)))) % 25.63/25.88 (step @p320 :rule chain_m_resolution :premises (@p319 @p55 @p317) :args (@t255 @t236 (@list @t7 @t264))) % 25.63/25.88 (step @p321 :rule cnf_or_pos :args (@t261)) % 25.63/25.88 (step @p322 :rule factoring :premises (@p321)) % 25.63/25.88 (step @p323 :rule reordering :premises (@p322) :args ((or @t143 @t256 @t260 (not @t261)))) % 25.63/25.88 (step @p324 :rule chain_m_resolution :premises (@p323 @p55 @p320 @p313) :args (@t260 @t145 (@list @t7 @t255 @t261))) % 25.63/25.88 (step @p325 :rule eq-symm :args (@t252 tptp.sz00)) % 25.63/25.88 (step @p326 :rule refl :args (@t266)) % 25.63/25.88 (step @p327 :rule cong :premises (@p326 @p325) :args (@t267)) % 25.63/25.88 (step @p328 :rule nary_cong :premises (@p140 @p140 @p303 @p327) :args (@t268)) % 25.63/25.88 (step @p329 :rule cong :premises (@p305 @p328) :args ((=> @t258 @t268))) % 25.63/25.88 (assume-push @p1169 @t258) % 25.63/25.88 (step @p331 :rule instantiate :premises (@p299) :args ((@list tptp.sz10 tptp.sz10 tptp.sz00))) % 25.63/25.88 (step-pop @p1170 :rule scope :premises (@p331)) % 25.63/25.88 (step @p332 :rule process_scope :premises (@p1170) :args (@t268)) % 25.63/25.88 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 25.63/25.88 (step @p335 :rule implies_elim :premises (@p334)) % 25.63/25.88 (step @p336 :rule chain_m_resolution :premises (@p335 @p299) :args (@t271 @t191 @t262)) % 25.63/25.88 (step @p337 :rule cnf_or_pos :args (@t271)) % 25.63/25.88 (step @p338 :rule factoring :premises (@p337)) % 25.63/25.88 (step @p339 :rule reordering :premises (@p338) :args ((or @t143 @t256 @t270 (not @t271)))) % 25.63/25.88 (step @p340 :rule chain_m_resolution :premises (@p339 @p55 @p320 @p336) :args (@t270 @t145 (@list @t7 @t255 @t271))) % 25.63/25.88 (step @p341 :rule bool-impl-elim :args (@t2 @t272)) % 25.63/25.88 (step @p342 :rule cong :premises (@p341) :args ((forall @t3 (=> @t2 @t272)))) % 25.63/25.88 (step @p343 :rule refl :args (@t24)) % 25.63/25.88 (step @p344 :rule eq-symm :args (@t25 @t1)) % 25.63/25.88 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t26)) % 25.63/25.88 (step @p346 :rule cong :premises (@p225 @p345) :args (@t27)) % 25.63/25.88 (step @p347 :rule cong :premises (@p346) :args (@t28)) % 25.63/25.88 (step @p348 :rule trans :premises (@p347 @p342)) % 25.63/25.88 (step @p349 :rule eq_resolve :premises (@p8 @p348)) % 25.63/25.88 (step @p350 :rule instantiate :premises (@p349) :args (@t263)) % 25.63/25.88 (step @p351 :rule cnf_or_pos :args (@t274)) % 25.63/25.88 (step @p352 :rule reordering :premises (@p351) :args ((or @t143 @t273 (not @t274)))) % 25.63/25.88 (step @p353 :rule chain_m_resolution :premises (@p352 @p55 @p350) :args (@t273 @t236 (@list @t7 @t274))) % 25.63/25.88 (step @p354 :rule cnf_and_pos :args (@t273 0)) % 25.63/25.88 (step @p355 :rule reordering :premises (@p354) :args ((or @t265 (not @t273)))) % 25.63/25.88 (step @p356 :rule chain_m_resolution :premises (@p355 @p353) :args (@t265 @t191 (@list @t273))) % 25.63/25.88 (step @p357 :rule cnf_and_neg :args (@t266)) % 25.63/25.88 (step @p358 :rule reordering :premises (@p357) :args ((or @t186 @t275 @t266))) % 25.63/25.88 (step @p359 :rule chain_m_resolution :premises (@p358 @p2 @p356) :args (@t266 @t236 (@list @t4 @t265))) % 25.63/25.88 (step @p360 :rule cnf_equiv_pos1 :args (@t270)) % 25.63/25.88 (step @p361 :rule reordering :premises (@p360) :args ((or @t269 (not @t266) (not @t270)))) % 25.63/25.88 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p340) :args (@t269 @t236 (@list @t266 @t270))) % 25.63/25.88 (step @p363 :rule aci_norm :args ((= @t277 @t276))) % 25.63/25.88 (step @p364 :rule nary_cong :premises (@p141 @p363) :args (@t278)) % 25.63/25.88 (step @p365 :rule refl :args (@t279)) % 25.63/25.88 (step @p366 :rule cong :premises (@p365 @p364) :args ((=> @t279 @t278))) % 25.63/25.88 (assume-push @p1171 @t279) % 25.63/25.88 (step @p368 :rule instantiate :premises (@p349) :args ((@list tptp.sz00))) % 25.63/25.88 (step-pop @p1172 :rule scope :premises (@p368)) % 25.63/25.88 (step @p369 :rule process_scope :premises (@p1172) :args (@t278)) % 25.63/25.88 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 25.63/25.88 (step @p372 :rule implies_elim :premises (@p371)) % 25.63/25.88 (step @p373 :rule chain_m_resolution :premises (@p372 @p349) :args (@t280 @t191 (@list @t279))) % 25.63/25.88 (step @p374 :rule cnf_or_pos :args (@t280)) % 25.63/25.88 (step @p375 :rule reordering :premises (@p374) :args ((or @t186 @t276 (not @t280)))) % 25.63/25.88 (step @p376 :rule chain_m_resolution :premises (@p375 @p2 @p373) :args (@t276 @t236 (@list @t4 @t280))) % 25.63/25.88 (step @p377 :rule and_elim :premises (@p3) :args (1)) % 25.63/25.88 (step @p378 :rule symm :premises (@p377)) % 25.63/25.88 (step @p379 :rule refl :args (@t281)) % 25.63/25.88 (step @p380 :rule refl :args (@t282)) % 25.63/25.88 (step @p381 :rule refl :args (@t283)) % 25.63/25.88 (step @p382 :rule bool-double-not-elim :args (@t185)) % 25.63/25.88 (step @p383 :rule nary_cong :premises (@p382 @p381 @p380 @p379) :args ((or (not @t200) @t283 @t282 @t281))) % 25.63/25.88 (assume-push @p1173 @t276) % 25.63/25.88 (assume-push @p1174 @t269) % 25.63/25.88 (assume-push @p1175 @t259) % 25.63/25.88 (assume-push @p1176 @t200) % 25.63/25.88 (step @p388 :rule evaluate :args (@t284)) % 25.63/25.88 (step @p389 :rule symm :premises (@p362)) % 25.63/25.88 (step @p390 :rule trans :premises (@p1175 @p389 @p376)) % 25.63/25.88 (step @p391 :rule symm :premises (@p390)) % 25.63/25.88 (step @p392 :rule trans :premises (@p376 @p391)) % 25.63/25.88 (step @p393 :rule true_intro :premises (@p392)) % 25.63/25.88 (step @p394 :rule false_intro :premises (@p378)) % 25.63/25.88 (step @p395 :rule symm :premises (@p394)) % 25.63/25.88 (step @p396 :rule trans :premises (@p395 @p393)) % 25.63/25.88 (step @p397 false :rule eq_resolve :premises (@p396 @p388)) % 25.63/25.88 (step-pop @p1177 :rule scope :premises (@p397)) % 25.63/25.88 (step-pop @p1178 :rule scope :premises (@p1177)) % 25.63/25.88 (step-pop @p1179 :rule scope :premises (@p1178)) % 25.63/25.88 (step-pop @p1180 :rule scope :premises (@p1179)) % 25.63/25.88 (step @p398 :rule process_scope :premises (@p1180) :args (false)) % 25.63/25.88 (assume-push @p1181 @t200) % 25.63/25.88 (assume-push @p1182 @t276) % 25.63/25.88 (assume-push @p1183 @t259) % 25.63/25.88 (assume-push @p1184 @t269) % 25.63/25.88 (step @p407 :rule and_intro :premises (@p376 @p362 @p1183 @p378)) % 25.63/25.88 (step-pop @p1185 :rule scope :premises (@p407)) % 25.63/25.88 (step-pop @p1186 :rule scope :premises (@p1185)) % 25.63/25.88 (step-pop @p1187 :rule scope :premises (@p1186)) % 25.63/25.88 (step-pop @p1188 :rule scope :premises (@p1187)) % 25.63/25.88 (step @p408 :rule process_scope :premises (@p1188) :args (@t285)) % 25.63/25.88 (step @p413 :rule implies_elim :premises (@p408)) % 25.63/25.88 (step @p414 :rule resolution :premises (@p413 @p398) :args (true @t285)) % 25.63/25.88 (step @p415 :rule not_and :premises (@p414)) % 25.63/25.88 (step @p416 :rule eq_resolve :premises (@p415 @p383)) % 25.63/25.88 (step @p417 :rule chain_m_resolution :premises (@p416 @p378 @p376 @p362) :args (@t282 @t286 (@list @t185 @t276 @t269))) % 25.63/25.88 (step @p418 :rule cnf_equiv_pos1 :args (@t260)) % 25.63/25.88 (step @p419 :rule reordering :premises (@p418) :args ((or @t259 @t287 (not @t260)))) % 25.63/25.88 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p324) :args (@t287 @t288 (@list @t259 @t260))) % 25.63/25.88 (step @p421 :rule cnf_and_neg :args (@t253)) % 25.63/25.88 (step @p422 :rule reordering :premises (@p421) :args ((or @t143 @t253 @t229))) % 25.63/25.88 (step @p423 :rule chain_m_resolution :premises (@p422 @p55 @p420) :args (@t229 @t289 (@list @t7 @t253))) % 25.63/25.88 (step @p424 :rule aci_norm :args ((= (or @t135 (or @t292 @t290)) @t293))) % 25.63/25.88 (step @p425 :rule bool-impl-elim :args (@t291 @t290)) % 25.63/25.88 (step @p426 :rule nary_cong :premises (@p43 @p425) :args ((or @t136 @t294))) % 25.63/25.88 (step @p427 :rule trans :premises (@p426 @p424)) % 25.63/25.88 (step @p428 :rule bool-impl-elim :args (@t12 @t294)) % 25.63/25.88 (step @p429 :rule trans :premises (@p428 @p427)) % 25.63/25.88 (step @p430 :rule cong :premises (@p429) :args ((forall @t13 (=> @t12 @t294)))) % 25.63/25.88 (step @p431 :rule eq-symm :args (@t8 tptp.sz00)) % 25.63/25.88 (step @p432 :rule nary_cong :premises (@p223 @p431) :args (@t43)) % 25.63/25.88 (step @p433 :rule eq-symm :args (@t9 tptp.sz00)) % 25.63/25.88 (step @p434 :rule cong :premises (@p433 @p432) :args (@t44)) % 25.63/25.88 (step @p435 :rule cong :premises (@p126 @p434) :args (@t45)) % 25.63/25.88 (step @p436 :rule cong :premises (@p435) :args (@t46)) % 25.63/25.88 (step @p437 :rule trans :premises (@p436 @p430)) % 25.63/25.88 (step @p438 :rule eq_resolve :premises (@p16 @p437)) % 25.63/25.88 (step @p439 :rule aci_norm :args ((= (and @t185 @t185) @t185))) % 25.63/25.88 (step @p440 :rule nary_cong :premises (@p170 @p139) :args (@t295)) % 25.63/25.88 (step @p441 :rule trans :premises (@p440 @p439)) % 25.63/25.88 (step @p442 :rule refl :args (@t296)) % 25.63/25.88 (step @p443 :rule nary_cong :premises (@p140 @p140 @p442 @p441) :args (@t297)) % 25.63/25.88 (step @p444 :rule refl :args (@t298)) % 25.63/25.88 (step @p445 :rule cong :premises (@p444 @p443) :args ((=> @t298 @t297))) % 25.63/25.88 (assume-push @p1189 @t298) % 25.63/25.88 (step @p447 :rule instantiate :premises (@p438) :args (@t234)) % 25.63/25.88 (step-pop @p1190 :rule scope :premises (@p447)) % 25.63/25.88 (step @p448 :rule process_scope :premises (@p1190) :args (@t297)) % 25.63/25.88 (step @p450 :rule eq_resolve :premises (@p448 @p445)) % 25.63/25.88 (step @p451 :rule implies_elim :premises (@p450)) % 25.63/25.88 (step @p452 :rule chain_m_resolution :premises (@p451 @p438) :args (@t299 @t191 (@list @t298))) % 25.63/25.88 (step @p453 :rule cnf_or_pos :args (@t299)) % 25.63/25.88 (step @p454 :rule factoring :premises (@p453)) % 25.63/25.88 (step @p455 :rule reordering :premises (@p454) :args ((or @t185 @t143 @t296 (not @t299)))) % 25.63/25.88 (step @p456 :rule chain_m_resolution :premises (@p455 @p378 @p55 @p452) :args (@t296 @t286 (@list @t185 @t7 @t299))) % 25.63/25.88 (step @p457 :rule cnf_or_pos :args (@t232)) % 25.63/25.88 (step @p458 :rule reordering :premises (@p457) :args ((or @t231 @t228 @t225 @t230 (not @t232)))) % 25.63/25.88 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p423 @p258 @p245) :args (@t230 (@list true true false false) (@list @t231 @t228 @t224 @t232))) % 25.63/25.88 (step @p460 :rule cnf_and_pos :args (@t230 1)) % 25.63/25.88 (step @p461 :rule reordering :premises (@p460) :args ((or @t220 (not @t230)))) % 25.63/25.88 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t220 @t191 (@list @t230))) % 25.63/25.88 (step @p463 :rule cnf_or_pos :args (@t303)) % 25.63/25.88 (step @p464 :rule reordering :premises (@p463) :args ((or @t143 @t228 @t225 @t302 @t301 (not @t303)))) % 25.63/25.88 (step @p465 :rule chain_m_resolution :premises (@p464 @p55 @p423 @p258 @p462 @p213) :args (@t301 @t304 (@list @t7 @t228 @t224 @t220 @t303))) % 25.63/25.88 (step @p466 :rule instantiate :premises (@p49) :args ((@list tptp.sz00 tptp.sz10))) % 25.63/25.88 (step @p467 :rule cnf_or_pos :args (@t306)) % 25.63/25.88 (step @p468 :rule reordering :premises (@p467) :args ((or @t186 @t143 @t305 (not @t306)))) % 25.63/25.88 (step @p469 :rule chain_m_resolution :premises (@p468 @p2 @p55 @p466) :args (@t305 @t145 (@list @t4 @t7 @t306))) % 25.63/25.88 (step @p470 :rule refl :args (@t307)) % 25.63/25.88 (step @p471 :rule bool-double-not-elim :args (@t300)) % 25.63/25.88 (step @p472 :rule refl :args (@t275)) % 25.63/25.88 (step @p473 :rule refl :args (@t308)) % 25.63/25.88 (step @p474 :rule nary_cong :premises (@p473 @p472 @p471 @p470) :args ((or @t308 @t275 (not @t301) @t307))) % 25.63/25.88 (assume-push @p1191 @t305) % 25.63/25.88 (assume-push @p1192 @t265) % 25.63/25.88 (assume-push @p1193 @t301) % 25.63/25.88 (assume-push @p1194 @t301) % 25.63/25.88 (assume-push @p1195 @t265) % 25.63/25.88 (assume-push @p1196 @t305) % 25.63/25.88 (step @p481 :rule false_intro :premises (@p1193)) % 25.63/25.88 (step @p482 :rule symm :premises (@p356)) % 25.63/25.88 (step @p483 :rule trans :premises (@p469 @p482)) % 25.63/25.88 (step @p484 :rule refl :args (@t204)) % 25.63/25.88 (step @p485 :rule cong :premises (@p484 @p483) :args (@t205)) % 25.63/25.88 (step @p486 :rule symm :premises (@p469)) % 25.63/25.88 (step @p487 :rule cong :premises (@p484 @p486) :args (@t208)) % 25.63/25.88 (step @p488 :rule trans :premises (@p487 @p485 @p481)) % 25.63/25.88 (step @p489 :rule false_elim :premises (@p488)) % 25.63/25.88 (step-pop @p1197 :rule scope :premises (@p489)) % 25.63/25.88 (step-pop @p1198 :rule scope :premises (@p1197)) % 25.63/25.88 (step-pop @p1199 :rule scope :premises (@p1198)) % 25.63/25.88 (step @p490 :rule process_scope :premises (@p1199) :args (@t307)) % 25.63/25.88 (step @p494 :rule and_intro :premises (@p1193 @p356 @p469)) % 25.63/25.88 (step @p495 :rule modus_ponens :premises (@p494 @p490)) % 25.63/25.88 (step-pop @p1200 :rule scope :premises (@p495)) % 25.63/25.88 (step-pop @p1201 :rule scope :premises (@p1200)) % 25.63/25.88 (step-pop @p1202 :rule scope :premises (@p1201)) % 25.63/25.88 (step @p496 :rule process_scope :premises (@p1202) :args (@t307)) % 25.63/25.88 (step @p500 :rule implies_elim :premises (@p496)) % 25.63/25.88 (step @p501 :rule cnf_and_neg :args (@t309)) % 25.63/25.88 (step @p502 :rule resolution :premises (@p501 @p500) :args (true @t309)) % 25.63/25.88 (step @p503 :rule eq_resolve :premises (@p502 @p474)) % 25.63/25.88 (step @p504 :rule reordering :premises (@p503) :args ((or @t308 @t275 @t307 @t300))) % 25.63/25.88 (step @p505 :rule chain_m_resolution :premises (@p504 @p469 @p356 @p465) :args (@t307 @t310 (@list @t305 @t265 @t300))) % 25.63/25.88 (step @p506 :rule cnf_and_pos :args (@t213 1)) % 25.63/25.88 (step @p507 :rule reordering :premises (@p506) :args ((or @t208 @t311))) % 25.63/25.88 (step @p508 :rule chain_m_resolution :premises (@p507 @p505) :args (@t311 @t312 (@list @t208))) % 25.63/25.88 (step @p509 :rule cnf_or_pos :args (@t214)) % 25.63/25.88 (step @p510 :rule factoring :premises (@p509)) % 25.63/25.88 (step @p511 :rule reordering :premises (@p510) :args ((or @t185 @t186 @t143 @t211 @t213 (not @t214)))) % 25.63/25.88 (step @p512 :rule chain_m_resolution :premises (@p511 @p378 @p2 @p55 @p508 @p199) :args (@t211 (@list true false false true false) (@list @t185 @t4 @t7 @t213 @t214))) % 25.63/25.88 (step @p513 :rule cnf_or_pos :args (@t202)) % 25.63/25.88 (step @p514 :rule reordering :premises (@p513) :args ((or @t186 @t143 @t197 @t201 (not @t202)))) % 25.63/25.88 (step @p515 :rule chain_m_resolution :premises (@p514 @p2 @p55 @p512 @p183) :args (@t201 @t313 (@list @t4 @t7 @t197 @t202))) % 25.63/25.88 (step @p516 :rule cnf_and_pos :args (@t201 1)) % 25.63/25.88 (step @p517 :rule reordering :premises (@p516) :args ((or @t183 (not @t201)))) % 25.63/25.88 (step @p518 :rule chain_m_resolution :premises (@p517 @p515) :args (@t183 @t191 (@list @t201))) % 25.63/25.88 (step @p519 :rule cnf_or_pos :args (@t190)) % 25.63/25.88 (step @p520 :rule reordering :premises (@p519) :args ((or @t185 @t186 @t143 @t142 @t184 @t189 (not @t190)))) % 25.63/25.88 (step @p521 :rule chain_m_resolution :premises (@p520 @p378 @p2 @p55 @p54 @p518 @p151) :args (@t189 (@list true false false false false false) (@list @t185 @t4 @t7 @t141 @t183 @t190))) % 25.63/25.88 (step @p522 :rule cnf_and_pos :args (@t189 1)) % 25.63/25.88 (step @p523 :rule reordering :premises (@p522) :args ((or @t179 @t314))) % 25.63/25.88 (step @p524 :rule chain_m_resolution :premises (@p523 @p521) :args (@t179 @t191 @t315)) % 25.63/25.88 (step @p525 :rule instantiate :premises (@p349) :args ((@list @t120))) % 25.63/25.88 (step @p526 :rule cnf_or_pos :args (@t318)) % 25.63/25.88 (step @p527 :rule reordering :premises (@p526) :args ((or @t142 @t317 (not @t318)))) % 25.63/25.88 (step @p528 :rule chain_m_resolution :premises (@p527 @p54 @p525) :args (@t317 @t236 (@list @t141 @t318))) % 25.63/25.88 (step @p529 :rule cnf_and_pos :args (@t317 0)) % 25.63/25.88 (step @p530 :rule reordering :premises (@p529) :args ((or @t316 (not @t317)))) % 25.63/25.88 (step @p531 :rule chain_m_resolution :premises (@p530 @p528) :args (@t316 @t191 (@list @t317))) % 25.63/25.88 (assume-push @p1203 @t316) % 25.63/25.88 (assume-push @p1204 @t140) % 25.63/25.88 (assume-push @p1205 @t179) % 25.63/25.88 (assume-push @p1206 @t179) % 25.63/25.88 (assume-push @p1207 @t316) % 25.63/25.88 (assume-push @p1208 @t140) % 25.63/25.88 (step @p538 :rule true_intro :premises (@p1205)) % 25.63/25.88 (step @p539 :rule cong :premises (@p531 @p58) :args (@t319)) % 25.63/25.88 (step @p540 :rule trans :premises (@p539 @p538)) % 25.63/25.88 (step @p541 :rule true_elim :premises (@p540)) % 25.63/25.88 (step-pop @p1209 :rule scope :premises (@p541)) % 25.63/25.88 (step-pop @p1210 :rule scope :premises (@p1209)) % 25.63/25.88 (step-pop @p1211 :rule scope :premises (@p1210)) % 25.63/25.88 (step @p542 :rule process_scope :premises (@p1211) :args (@t319)) % 25.63/25.88 (step @p546 :rule and_intro :premises (@p1205 @p531 @p58)) % 25.63/25.88 (step @p547 :rule modus_ponens :premises (@p546 @p542)) % 25.63/25.88 (step-pop @p1212 :rule scope :premises (@p547)) % 25.63/25.88 (step-pop @p1213 :rule scope :premises (@p1212)) % 25.63/25.88 (step-pop @p1214 :rule scope :premises (@p1213)) % 25.63/25.88 (step @p548 :rule process_scope :premises (@p1214) :args (@t319)) % 25.63/25.88 (step @p552 :rule implies_elim :premises (@p548)) % 25.63/25.88 (step @p553 :rule cnf_and_neg :args (@t320)) % 25.63/25.88 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t320)) % 25.63/25.88 (step @p555 :rule reordering :premises (@p554) :args ((or @t322 @t321 @t319 (not @t179)))) % 25.63/25.88 (step @p556 :rule chain_m_resolution :premises (@p555 @p531 @p58 @p524) :args (@t319 @t145 (@list @t316 @t140 @t179))) % 25.63/25.88 (step @p557 :rule instantiate :premises (@p212) :args ((@list @t120 @t152))) % 25.63/25.88 (step @p558 :rule aci_norm :args ((= (or @t150 @t324) @t323))) % 25.63/25.88 (step @p559 :rule aci_norm :args ((= (or (or @t40 @t34 @t146) @t86) @t324))) % 25.63/25.88 (step @p560 :rule refl :args (@t86)) % 25.63/25.88 (step @p561 :rule refl :args (@t146)) % 25.63/25.88 (step @p562 :rule bool-double-not-elim :args (@t34)) % 25.63/25.88 (step @p563 :rule bool-double-not-elim :args (@t40)) % 25.63/25.88 (step @p564 :rule nary_cong :premises (@p563 @p562 @p561) :args (@t327)) % 25.63/25.88 (step @p565 :rule aci_norm :args ((= (or @t326 (or @t325 @t146)) @t327))) % 25.63/25.88 (step @p566 :rule trans :premises (@p565 @p564)) % 25.63/25.88 (step @p567 :rule bool-and-de-morgan :args (@t87 @t64 true)) % 25.63/25.88 (step @p568 :rule refl :args (@t326)) % 25.63/25.88 (step @p569 :rule nary_cong :premises (@p568 @p567) :args ((or @t326 (not (and @t87 @t64))))) % 25.63/25.88 (step @p570 :rule bool-and-de-morgan :args (@t41 @t87 (and @t64))) % 25.63/25.88 (step @p571 :rule trans :premises (@p570 @p569)) % 25.63/25.88 (step @p572 :rule trans :premises (@p571 @p566)) % 25.63/25.88 (step @p573 :rule nary_cong :premises (@p572 @p560) :args ((or (not @t88) @t86))) % 25.63/25.88 (step @p574 :rule trans :premises (@p573 @p559)) % 25.63/25.88 (step @p575 :rule bool-impl-elim :args (@t88 @t86)) % 25.63/25.88 (step @p576 :rule trans :premises (@p575 @p574)) % 25.63/25.88 (step @p577 :rule nary_cong :premises (@p73 @p576) :args ((or @t151 @t89))) % 25.63/25.88 (step @p578 :rule trans :premises (@p577 @p558)) % 25.63/25.88 (step @p579 :rule bool-impl-elim :args (@t22 @t89)) % 25.63/25.88 (step @p580 :rule trans :premises (@p579 @p578)) % 25.63/25.88 (step @p581 :rule cong :premises (@p580) :args (@t90)) % 25.63/25.88 (step @p582 :rule eq_resolve :premises (@p25 @p581)) % 25.63/25.88 (step @p583 :rule refl :args (@t331)) % 25.63/25.88 (step @p584 :rule eq-symm :args (@t330 @t328)) % 25.63/25.88 (step @p585 :rule cong :premises (@p584) :args (@t332)) % 25.63/25.88 (step @p586 :rule refl :args (@t334)) % 25.63/25.88 (step @p587 :rule eq-symm :args (@t333 @t120)) % 25.63/25.88 (step @p588 :rule cong :premises (@p587) :args (@t335)) % 25.63/25.88 (step @p589 :rule nary_cong :premises (@p588 @p586 @p585 @p583) :args (@t336)) % 25.63/25.88 (step @p590 :rule refl :args (@t338)) % 25.63/25.88 (step @p591 :rule eq-symm :args (@t329 tptp.xp)) % 25.63/25.88 (step @p592 :rule eq-symm :args (tptp.xl tptp.sz00)) % 25.63/25.88 (step @p593 :rule refl :args (@t339)) % 25.63/25.88 (step @p594 :rule refl :args (@t341)) % 25.63/25.88 (step @p595 :rule refl :args (@t342)) % 25.63/25.88 (step @p596 :rule nary_cong :premises (@p595 @p594 @p593 @p592 @p591 @p590 @p589) :args (@t343)) % 25.63/25.88 (step @p597 :rule refl :args (@t344)) % 25.63/25.88 (step @p598 :rule cong :premises (@p597 @p596) :args ((=> @t344 @t343))) % 25.63/25.88 (assume-push @p1215 @t344) % 25.63/25.88 (step @p600 :rule instantiate :premises (@p582) :args ((@list tptp.xl @t329 tptp.xp))) % 25.63/25.88 (step-pop @p1216 :rule scope :premises (@p600)) % 25.63/25.88 (step @p601 :rule process_scope :premises (@p1216) :args (@t343)) % 25.63/25.88 (step @p603 :rule eq_resolve :premises (@p601 @p598)) % 25.63/25.88 (step @p604 :rule implies_elim :premises (@p603)) % 25.63/25.88 (step @p605 :rule chain_m_resolution :premises (@p604 @p582) :args (@t350 @t191 (@list @t344))) % 25.63/25.88 (step @p606 :rule instantiate :premises (@p168) :args ((@list tptp.xp @t329))) % 25.63/25.88 (step @p607 :rule refl :args (tptp.xl)) % 25.63/25.88 (step @p608 :rule refl :args (tptp.xn)) % 25.63/25.88 (step @p609 :rule cong :premises (@p51 @p608) :args (@t112)) % 25.63/25.88 (step @p610 :rule cong :premises (@p609 @p607) :args (@t122)) % 25.63/25.88 (step @p611 :rule refl :args (tptp.xq)) % 25.63/25.88 (step @p612 :rule cong :premises (@p611 @p610) :args (@t123)) % 25.63/25.88 (step @p613 :rule and_elim :premises (@p38) :args (2)) % 25.63/25.88 (step @p614 :rule eq_resolve :premises (@p613 @p612)) % 25.63/25.88 (step @p615 :rule cong :premises (@p614) :args (@t126)) % 25.63/25.88 (step @p616 :rule and_elim :premises (@p38) :args (0)) % 25.63/25.88 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 25.63/25.88 (step @p618 :rule and_elim :premises (@p37) :args (0)) % 25.63/25.88 (step @p619 :rule refl :args (@t351)) % 25.63/25.88 (step @p620 :rule eq-symm :args (@t329 @t128)) % 25.63/25.88 (step @p621 :rule cong :premises (@p620) :args (@t352)) % 25.63/25.88 (step @p622 :rule nary_cong :premises (@p266 @p621) :args (@t353)) % 25.63/25.88 (step @p623 :rule cong :premises (@p622) :args (@t354)) % 25.63/25.88 (step @p624 :rule cong :premises (@p623) :args (@t355)) % 25.63/25.88 (step @p625 :rule nary_cong :premises (@p624 @p619) :args (@t356)) % 25.63/25.88 (step @p626 :rule cong :premises (@p625) :args ((not @t356))) % 25.63/25.88 (step @p627 :rule refl :args (tptp.xp)) % 25.63/25.88 (step @p628 :rule cong :premises (@p627 @p614) :args (@t127)) % 25.63/25.88 (step @p629 :rule refl :args (@t128)) % 25.63/25.88 (step @p630 :rule cong :premises (@p614 @p629) :args (@t357)) % 25.63/25.88 (step @p631 :rule cong :premises (@p630) :args (@t358)) % 25.63/25.88 (step @p632 :rule nary_cong :premises (@p266 @p631) :args (@t359)) % 25.63/25.88 (step @p633 :rule cong :premises (@p632) :args (@t360)) % 25.63/25.88 (step @p634 :rule cong :premises (@p633) :args (@t361)) % 25.63/25.88 (step @p635 :rule nary_cong :premises (@p634 @p628) :args (@t362)) % 25.63/25.88 (step @p636 :rule cong :premises (@p635) :args ((not @t362))) % 25.63/25.88 (step @p637 :rule trans :premises (@p636 @p626)) % 25.63/25.88 (step @p638 :rule refl :args (@t127)) % 25.63/25.88 (step @p639 :rule bool-and-de-morgan :args (@t2 @t357 true)) % 25.63/25.88 (step @p640 :rule cong :premises (@p639) :args (@t364)) % 25.63/25.88 (step @p641 :rule cong :premises (@p640) :args (@t365)) % 25.63/25.88 (step @p642 :rule exists-elim :args ((= (exists @t3 @t363) @t365))) % 25.63/25.88 (step @p643 :rule trans :premises (@p642 @p641)) % 25.63/25.88 (step @p644 :rule eq-symm :args (@t128 tptp.xq)) % 25.63/25.88 (step @p645 :rule nary_cong :premises (@p225 @p644) :args (@t129)) % 25.63/25.88 (step @p646 :rule cong :premises (@p645) :args (@t130)) % 25.63/25.88 (step @p647 :rule trans :premises (@p646 @p643)) % 25.63/25.88 (step @p648 :rule nary_cong :premises (@p647 @p638) :args (@t131)) % 25.63/25.88 (step @p649 :rule cong :premises (@p648) :args (@t132)) % 25.63/25.88 (step @p650 :rule trans :premises (@p649 @p637)) % 25.63/25.88 (step @p651 :rule eq_resolve :premises (@p39 @p650)) % 25.63/25.88 (step @p652 :rule not_or_elim :premises (@p651) :args (1)) % 25.63/25.88 (step @p653 :rule cnf_or_pos :args (@t368)) % 25.63/25.88 (step @p654 :rule reordering :premises (@p653) :args ((or @t351 @t339 @t341 @t367 (not @t368)))) % 25.63/25.88 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p618 @p617 @p606) :args (@t367 @t369 (@list @t351 @t121 @t340 @t368))) % 25.63/25.88 (step @p656 :rule cnf_and_pos :args (@t367 1)) % 25.63/25.88 (step @p657 :rule reordering :premises (@p656) :args ((or @t337 (not @t367)))) % 25.63/25.88 (step @p658 :rule chain_m_resolution :premises (@p657 @p655) :args (@t337 @t191 (@list @t367))) % 25.63/25.88 (step @p659 :rule eq-symm :args (@t370 @t101)) % 25.63/25.88 (step @p660 :rule refl :args (@t371)) % 25.63/25.88 (step @p661 :rule cong :premises (@p660 @p659) :args (@t372)) % 25.63/25.88 (step @p662 :rule refl :args (@t373)) % 25.63/25.88 (step @p663 :rule nary_cong :premises (@p266 @p265 @p223 @p662 @p661) :args (@t374)) % 25.63/25.88 (step @p664 :rule cong :premises (@p663) :args (@t376)) % 25.63/25.88 (step @p665 :rule quant-merge-prenex :args ((= (forall @t13 @t378) @t376))) % 25.63/25.88 (step @p666 :rule alpha_equiv :args (@t379 (@list @t370) @t168)) % 25.63/25.88 (step @p667 :rule refl :args (@t373)) % 25.63/25.88 (step @p668 :rule refl :args (@t40)) % 25.63/25.88 (step @p669 :rule nary_cong :premises (@p69 @p87 @p668 @p667 @p666) :args (@t380)) % 25.63/25.88 (step @p670 :rule quant-miniscope-or :args ((= @t378 @t380))) % 25.63/25.88 (step @p671 :rule trans :premises (@p670 @p669)) % 25.63/25.88 (step @p672 :rule symm :premises (@p671)) % 25.63/25.88 (step @p673 :rule cong :premises (@p672) :args ((forall @t13 @t382))) % 25.63/25.88 (step @p674 :rule trans :premises (@p673 @p665)) % 25.63/25.88 (step @p675 :rule trans :premises (@p674 @p664)) % 25.63/25.88 (step @p676 :rule aci_norm :args ((= (or @t135 @t383) @t382))) % 25.63/25.88 (step @p677 :rule aci_norm :args ((= (or (or @t40 @t373) @t381) @t383))) % 25.63/25.88 (step @p678 :rule refl :args (@t381)) % 25.63/25.88 (step @p679 :rule nary_cong :premises (@p563 @p667) :args ((or @t326 @t373))) % 25.63/25.88 (step @p680 :rule bool-and-de-morgan :args (@t41 @t100 true)) % 25.63/25.88 (step @p681 :rule trans :premises (@p680 @p679)) % 25.63/25.88 (step @p682 :rule nary_cong :premises (@p681 @p678) :args ((or (not @t104) @t381))) % 25.63/25.88 (step @p683 :rule trans :premises (@p682 @p677)) % 25.63/25.88 (step @p684 :rule bool-impl-elim :args (@t104 @t381)) % 25.63/25.88 (step @p685 :rule trans :premises (@p684 @p683)) % 25.63/25.88 (step @p686 :rule nary_cong :premises (@p43 @p685) :args ((or @t136 @t384))) % 25.63/25.88 (step @p687 :rule trans :premises (@p686 @p676)) % 25.63/25.88 (step @p688 :rule bool-impl-elim :args (@t12 @t384)) % 25.63/25.88 (step @p689 :rule trans :premises (@p688 @p687)) % 25.63/25.88 (step @p690 :rule cong :premises (@p689) :args ((forall @t13 (=> @t12 @t384)))) % 25.63/25.88 (step @p691 :rule trans :premises (@p690 @p675)) % 25.63/25.88 (step @p692 :rule eq-symm :args (@t102 @t99)) % 25.63/25.88 (step @p693 :rule cong :premises (@p692) :args (@t103)) % 25.63/25.88 (step @p694 :rule refl :args (@t104)) % 25.63/25.88 (step @p695 :rule cong :premises (@p694 @p693) :args (@t105)) % 25.63/25.88 (step @p696 :rule cong :premises (@p126 @p695) :args (@t106)) % 25.63/25.88 (step @p697 :rule cong :premises (@p696) :args (@t107)) % 25.63/25.88 (step @p698 :rule trans :premises (@p697 @p691)) % 25.63/25.88 (step @p699 :rule eq_resolve :premises (@p31 @p698)) % 25.63/25.88 (step @p700 :rule refl :args (@t388)) % 25.63/25.88 (step @p701 :rule refl :args (@t390)) % 25.63/25.88 (step @p702 :rule nary_cong :premises (@p595 @p137 @p592 @p701 @p700) :args (@t391)) % 25.63/25.88 (step @p703 :rule refl :args (@t392)) % 25.63/25.88 (step @p704 :rule cong :premises (@p703 @p702) :args ((=> @t392 @t391))) % 25.63/25.88 (assume-push @p1217 @t392) % 25.63/25.88 (step @p706 :rule instantiate :premises (@p699) :args ((@list tptp.xl @t120 @t329))) % 25.63/25.88 (step-pop @p1218 :rule scope :premises (@p706)) % 25.63/25.88 (step @p707 :rule process_scope :premises (@p1218) :args (@t391)) % 25.63/25.88 (step @p709 :rule eq_resolve :premises (@p707 @p704)) % 25.63/25.88 (step @p710 :rule implies_elim :premises (@p709)) % 25.63/25.88 (step @p711 :rule chain_m_resolution :premises (@p710 @p699) :args (@t393 @t191 (@list @t392))) % 25.63/25.88 (step @p712 :rule cong :premises (@p607 @p51) :args (@t116)) % 25.63/25.88 (step @p713 :rule and_elim :premises (@p35) :args (1)) % 25.63/25.88 (step @p714 :rule eq_resolve :premises (@p713 @p712)) % 25.63/25.88 (step @p715 :rule and_elim :premises (@p34) :args (0)) % 25.63/25.88 (step @p716 :rule symm :premises (@p36)) % 25.63/25.88 (step @p717 :rule cnf_or_pos :args (@t393)) % 25.63/25.88 (step @p718 :rule reordering :premises (@p717) :args ((or @t349 @t342 @t142 @t390 @t388 (not @t393)))) % 25.63/25.88 (step @p719 :rule chain_m_resolution :premises (@p718 @p716 @p715 @p54 @p714 @p711) :args (@t388 (@list true false false false false) (@list @t349 @t111 @t141 @t389 @t393))) % 25.63/25.88 (step @p720 :rule instantiate :premises (@p316) :args ((@list tptp.xp))) % 25.63/25.88 (step @p721 :rule cnf_or_pos :args (@t395)) % 25.63/25.88 (step @p722 :rule reordering :premises (@p721) :args ((or @t339 @t394 (not @t395)))) % 25.63/25.88 (step @p723 :rule chain_m_resolution :premises (@p722 @p618 @p720) :args (@t394 @t236 (@list @t121 @t395))) % 25.63/25.88 (step @p724 :rule cong :premises (@p607 @p614) :args (@t124)) % 25.63/25.88 (step @p725 :rule cong :premises (@p609 @p724) :args (@t125)) % 25.63/25.88 (step @p726 :rule and_elim :premises (@p38) :args (1)) % 25.63/25.88 (step @p727 :rule eq_resolve :premises (@p726 @p725)) % 25.63/25.88 (step @p728 :rule cong :premises (@p51 @p607) :args (@t118)) % 25.63/25.88 (step @p729 :rule cong :premises (@p627 @p728) :args (@t119)) % 25.63/25.88 (step @p730 :rule and_elim :premises (@p37) :args (2)) % 25.63/25.88 (step @p731 :rule eq_resolve :premises (@p730 @p729)) % 25.63/25.88 (step @p732 :rule refl :args (@t396)) % 25.63/25.88 (step @p733 :rule refl :args (@t346)) % 25.63/25.88 (step @p734 :rule refl :args (@t398)) % 25.63/25.88 (step @p735 :rule bool-double-not-elim :args (@t351)) % 25.63/25.88 (step @p736 :rule refl :args (@t400)) % 25.63/25.88 (step @p737 :rule nary_cong :premises (@p736 @p735 @p734 @p733 @p732) :args ((or @t400 (not @t401) @t398 @t346 @t396))) % 25.63/25.88 (assume-push @p1219 @t394) % 25.63/25.88 (assume-push @p1220 @t399) % 25.63/25.88 (assume-push @p1221 @t345) % 25.63/25.88 (assume-push @p1222 @t397) % 25.63/25.88 (assume-push @p1223 @t401) % 25.63/25.88 (step @p388 :rule evaluate :args (@t284)) % 25.63/25.88 (step @p743 :rule true_intro :premises (@p723)) % 25.63/25.88 (step @p744 :rule symm :premises (@p731)) % 25.63/25.88 (step @p745 :rule symm :premises (@p1221)) % 25.63/25.88 (step @p746 :rule trans :premises (@p727 @p745)) % 25.63/25.88 (step @p747 :rule cong :premises (@p746 @p607) :args (@t329)) % 25.63/25.88 (step @p748 :rule trans :premises (@p747 @p744)) % 25.63/25.88 (step @p749 :rule cong :premises (@p627 @p748) :args (@t351)) % 25.63/25.88 (step @p750 :rule false_intro :premises (@p652)) % 25.63/25.88 (step @p751 :rule symm :premises (@p750)) % 25.63/25.88 (step @p752 :rule trans :premises (@p751 @p749 @p743)) % 25.63/25.88 (step @p753 false :rule eq_resolve :premises (@p752 @p388)) % 25.63/25.88 (step-pop @p1224 :rule scope :premises (@p753)) % 25.63/25.88 (step-pop @p1225 :rule scope :premises (@p1224)) % 25.63/25.88 (step-pop @p1226 :rule scope :premises (@p1225)) % 25.63/25.88 (step-pop @p1227 :rule scope :premises (@p1226)) % 25.63/25.88 (step-pop @p1228 :rule scope :premises (@p1227)) % 25.63/25.88 (step @p754 :rule process_scope :premises (@p1228) :args (false)) % 25.63/25.88 (assume-push @p1229 @t399) % 25.63/25.88 (assume-push @p1230 @t401) % 25.63/25.88 (assume-push @p1231 @t397) % 25.63/25.88 (assume-push @p1232 @t345) % 25.63/25.88 (assume-push @p1233 @t394) % 25.63/25.88 (step @p765 :rule and_intro :premises (@p723 @p731 @p1232 @p727 @p652)) % 25.63/25.88 (step-pop @p1234 :rule scope :premises (@p765)) % 25.63/25.88 (step-pop @p1235 :rule scope :premises (@p1234)) % 25.63/25.88 (step-pop @p1236 :rule scope :premises (@p1235)) % 25.63/25.88 (step-pop @p1237 :rule scope :premises (@p1236)) % 25.63/25.88 (step-pop @p1238 :rule scope :premises (@p1237)) % 25.63/25.88 (step @p766 :rule process_scope :premises (@p1238) :args (@t402)) % 25.63/25.88 (step @p772 :rule implies_elim :premises (@p766)) % 25.63/25.88 (step @p773 :rule resolution :premises (@p772 @p754) :args (true @t402)) % 25.63/25.88 (step @p774 :rule not_and :premises (@p773)) % 25.63/25.88 (step @p775 :rule eq_resolve :premises (@p774 @p737)) % 25.63/25.88 (step @p776 :rule reordering :premises (@p775) :args ((or @t351 @t400 @t398 @t346 @t396))) % 25.63/25.88 (step @p777 :rule chain_m_resolution :premises (@p776 @p652 @p731 @p727 @p723) :args (@t346 @t369 (@list @t351 @t399 @t397 @t394))) % 25.63/25.88 (step @p778 :rule cnf_and_pos :args (@t387 1)) % 25.63/25.88 (step @p779 :rule reordering :premises (@p778) :args ((or @t345 @t403))) % 25.63/25.88 (step @p780 :rule chain_m_resolution :premises (@p779 @p777) :args (@t403 @t312 (@list @t345))) % 25.63/25.88 (step @p781 :rule cnf_equiv_pos2 :args (@t388)) % 25.63/25.88 (step @p782 :rule reordering :premises (@p781) :args ((or @t387 @t404 (not @t388)))) % 25.63/25.88 (step @p783 :rule chain_m_resolution :premises (@p782 @p780 @p719) :args (@t404 @t288 (@list @t387 @t388))) % 25.63/25.88 (step @p784 :rule refl :args (@t366)) % 25.63/25.88 (step @p785 :rule bool-double-not-elim :args (@t386)) % 25.63/25.88 (step @p786 :rule nary_cong :premises (@p736 @p785 @p784) :args ((or @t400 (not @t404) @t366))) % 25.63/25.88 (assume-push @p1239 @t399) % 25.63/25.88 (assume-push @p1240 @t404) % 25.63/25.88 (assume-push @p1241 @t399) % 25.63/25.88 (assume-push @p1242 @t404) % 25.63/25.88 (step @p791 :rule false_intro :premises (@p1240)) % 25.63/25.88 (step @p792 :rule refl :args (@t329)) % 25.63/25.88 (step @p793 :rule cong :premises (@p731 @p792) :args (@t348)) % 25.63/25.88 (step @p794 :rule trans :premises (@p793 @p791)) % 25.63/25.88 (step @p795 :rule false_elim :premises (@p794)) % 25.63/25.88 (step-pop @p1243 :rule scope :premises (@p795)) % 25.63/25.88 (step-pop @p1244 :rule scope :premises (@p1243)) % 25.63/25.88 (step @p796 :rule process_scope :premises (@p1244) :args (@t366)) % 25.63/25.88 (step @p799 :rule and_intro :premises (@p731 @p1240)) % 25.63/25.88 (step @p800 :rule modus_ponens :premises (@p799 @p796)) % 25.63/25.88 (step-pop @p1245 :rule scope :premises (@p800)) % 25.63/25.88 (step-pop @p1246 :rule scope :premises (@p1245)) % 25.63/25.88 (step @p801 :rule process_scope :premises (@p1246) :args (@t366)) % 25.63/25.88 (step @p804 :rule implies_elim :premises (@p801)) % 25.63/25.88 (step @p805 :rule cnf_and_neg :args (@t405)) % 25.63/25.88 (step @p806 :rule resolution :premises (@p805 @p804) :args (true @t405)) % 25.63/25.88 (step @p807 :rule eq_resolve :premises (@p806 @p786)) % 25.63/25.88 (step @p808 :rule chain_m_resolution :premises (@p807 @p731 @p783) :args (@t366 @t289 (@list @t399 @t386))) % 25.63/25.88 (step @p809 :rule cnf_or_pos :args (@t350)) % 25.63/25.88 (step @p810 :rule reordering :premises (@p809) :args ((or @t349 @t342 @t339 @t341 @t348 @t338 @t347 (not @t350)))) % 25.63/25.88 (step @p811 :rule chain_m_resolution :premises (@p810 @p716 @p715 @p618 @p617 @p808 @p658 @p605) :args (@t347 (@list true false false false true false false) (@list @t349 @t111 @t121 @t340 @t348 @t337 @t350))) % 25.63/25.88 (step @p812 :rule cnf_and_pos :args (@t347 1)) % 25.63/25.88 (step @p813 :rule reordering :premises (@p812) :args ((or @t334 (not @t347)))) % 25.63/25.88 (step @p814 :rule chain_m_resolution :premises (@p813 @p811) :args (@t334 @t191 (@list @t347))) % 25.63/25.88 (step @p815 :rule aci_norm :args ((= (or @t135 @t30) (or @t134 @t133 @t30)))) % 25.63/25.88 (step @p816 :rule refl :args (@t30)) % 25.63/25.88 (step @p817 :rule nary_cong :premises (@p43 @p816) :args ((or @t136 @t30))) % 25.63/25.88 (step @p818 :rule trans :premises (@p817 @p815)) % 25.63/25.88 (step @p819 :rule bool-impl-elim :args (@t12 @t30)) % 25.63/25.88 (step @p820 :rule trans :premises (@p819 @p818)) % 25.63/25.88 (step @p821 :rule cong :premises (@p820) :args (@t31)) % 25.63/25.88 (step @p822 :rule eq_resolve :premises (@p9 @p821)) % 25.63/25.88 (step @p823 :rule instantiate :premises (@p822) :args ((@list tptp.xl @t329))) % 25.63/25.88 (step @p824 :rule cnf_or_pos :args (@t407)) % 25.63/25.88 (step @p825 :rule reordering :premises (@p824) :args ((or @t342 @t341 @t406 (not @t407)))) % 25.63/25.88 (step @p826 :rule chain_m_resolution :premises (@p825 @p715 @p617 @p823) :args (@t406 @t145 (@list @t111 @t340 @t407))) % 25.63/25.88 (step @p827 :rule instantiate :premises (@p822) :args ((@list tptp.xl tptp.xp))) % 25.63/25.88 (step @p828 :rule cnf_or_pos :args (@t409)) % 25.63/25.88 (step @p829 :rule reordering :premises (@p828) :args ((or @t342 @t339 @t408 (not @t409)))) % 25.63/25.88 (step @p830 :rule chain_m_resolution :premises (@p829 @p715 @p618 @p827) :args (@t408 @t145 (@list @t111 @t121 @t409))) % 25.63/25.88 (assume-push @p1247 @t397) % 25.63/25.88 (assume-push @p1248 @t408) % 25.63/25.88 (assume-push @p1249 @t406) % 25.63/25.88 (assume-push @p1250 @t334) % 25.63/25.88 (assume-push @p1251 @t334) % 25.63/25.88 (assume-push @p1252 @t397) % 25.63/25.88 (assume-push @p1253 @t406) % 25.63/25.88 (assume-push @p1254 @t408) % 25.63/25.88 (step @p839 :rule true_intro :premises (@p1250)) % 25.63/25.88 (step @p840 :rule symm :premises (@p830)) % 25.63/25.88 (step @p841 :rule symm :premises (@p826)) % 25.63/25.88 (step @p842 :rule cong :premises (@p841 @p840) :args (@t331)) % 25.63/25.88 (step @p843 :rule symm :premises (@p727)) % 25.63/25.88 (step @p844 :rule trans :premises (@p841 @p843)) % 25.63/25.88 (step @p845 :rule symm :premises (@p844)) % 25.63/25.88 (step @p846 :rule cong :premises (@p845 @p830) :args (@t410)) % 25.63/25.88 (step @p847 :rule trans :premises (@p846 @p842 @p839)) % 25.63/25.88 (step @p848 :rule true_elim :premises (@p847)) % 25.63/25.88 (step-pop @p1255 :rule scope :premises (@p848)) % 25.63/25.88 (step-pop @p1256 :rule scope :premises (@p1255)) % 25.63/25.88 (step-pop @p1257 :rule scope :premises (@p1256)) % 25.63/25.88 (step-pop @p1258 :rule scope :premises (@p1257)) % 25.63/25.88 (step @p849 :rule process_scope :premises (@p1258) :args (@t410)) % 25.63/25.88 (step @p854 :rule and_intro :premises (@p1250 @p727 @p826 @p830)) % 25.63/25.88 (step @p855 :rule modus_ponens :premises (@p854 @p849)) % 25.63/25.88 (step-pop @p1259 :rule scope :premises (@p855)) % 25.63/25.88 (step-pop @p1260 :rule scope :premises (@p1259)) % 25.63/25.88 (step-pop @p1261 :rule scope :premises (@p1260)) % 25.63/25.88 (step-pop @p1262 :rule scope :premises (@p1261)) % 25.63/25.88 (step @p856 :rule process_scope :premises (@p1262) :args (@t410)) % 25.63/25.88 (step @p861 :rule implies_elim :premises (@p856)) % 25.63/25.88 (step @p862 :rule cnf_and_neg :args (@t411)) % 25.63/25.88 (step @p863 :rule resolution :premises (@p862 @p861) :args (true @t411)) % 25.63/25.88 (step @p864 :rule reordering :premises (@p863) :args ((or @t398 (not @t408) (not @t406) @t410 @t412))) % 25.63/25.88 (step @p865 :rule chain_m_resolution :premises (@p864 @p727 @p830 @p826 @p814) :args (@t410 (@list false false false false) (@list @t397 @t408 @t406 @t334))) % 25.63/25.88 (step @p866 :rule instantiate :premises (@p253) :args ((@list @t120 tptp.xn))) % 25.63/25.88 (step @p867 :rule and_elim :premises (@p34) :args (2)) % 25.63/25.88 (step @p868 :rule cnf_or_pos :args (@t415)) % 25.63/25.88 (step @p869 :rule reordering :premises (@p868) :args ((or @t142 @t414 @t413 (not @t415)))) % 25.63/25.88 (step @p870 :rule chain_m_resolution :premises (@p869 @p54 @p867 @p866) :args (@t413 @t145 (@list @t141 @t109 @t415))) % 25.63/25.88 (step @p871 :rule refl :args (@t417)) % 25.63/25.88 (step @p872 :rule bool-double-not-elim :args (@t345)) % 25.63/25.88 (step @p873 :rule nary_cong :premises (@p734 @p872 @p871) :args ((or @t398 @t418 @t417))) % 25.63/25.88 (assume-push @p1263 @t397) % 25.63/25.88 (assume-push @p1264 @t346) % 25.63/25.88 (assume-push @p1265 @t346) % 25.63/25.88 (assume-push @p1266 @t397) % 25.63/25.88 (step @p878 :rule false_intro :premises (@p1264)) % 25.63/25.88 (step @p879 :rule refl :args (@t120)) % 25.63/25.88 (step @p880 :rule cong :premises (@p879 @p727) :args (@t416)) % 25.63/25.88 (step @p881 :rule trans :premises (@p880 @p878)) % 25.63/25.88 (step @p882 :rule false_elim :premises (@p881)) % 25.63/25.88 (step-pop @p1267 :rule scope :premises (@p882)) % 25.63/25.88 (step-pop @p1268 :rule scope :premises (@p1267)) % 25.63/25.88 (step @p883 :rule process_scope :premises (@p1268) :args (@t417)) % 25.63/25.88 (step @p886 :rule and_intro :premises (@p1264 @p727)) % 25.63/25.88 (step @p887 :rule modus_ponens :premises (@p886 @p883)) % 25.63/25.88 (step-pop @p1269 :rule scope :premises (@p887)) % 25.63/25.88 (step-pop @p1270 :rule scope :premises (@p1269)) % 25.63/25.88 (step @p888 :rule process_scope :premises (@p1270) :args (@t417)) % 25.63/25.88 (step @p891 :rule implies_elim :premises (@p888)) % 25.63/25.88 (step @p892 :rule cnf_and_neg :args (@t419)) % 25.63/25.88 (step @p893 :rule resolution :premises (@p892 @p891) :args (true @t419)) % 25.63/25.88 (step @p894 :rule eq_resolve :premises (@p893 @p873)) % 25.63/25.88 (step @p895 :rule chain_m_resolution :premises (@p894 @p727 @p777) :args (@t417 @t289 (@list @t397 @t345))) % 25.63/25.88 (step @p896 :rule cnf_or_pos :args (@t424)) % 25.63/25.88 (step @p897 :rule reordering :premises (@p896) :args ((or @t142 @t416 @t423 @t420 @t422 (not @t424)))) % 25.63/25.88 (step @p898 :rule chain_m_resolution :premises (@p897 @p54 @p895 @p870 @p865 @p557) :args (@t422 @t304 (@list @t141 @t416 @t413 @t410 @t424))) % 25.63/25.88 (step @p899 :rule instantiate :premises (@p253) :args (@t137)) % 25.63/25.88 (step @p900 :rule cnf_or_pos :args (@t426)) % 25.63/25.88 (step @p901 :rule reordering :premises (@p900) :args ((or @t143 @t142 @t425 (not @t426)))) % 25.63/25.88 (step @p902 :rule chain_m_resolution :premises (@p901 @p55 @p54 @p899) :args (@t425 @t145 (@list @t7 @t141 @t426))) % 25.63/25.88 (step @p903 :rule cnf_or_pos :args (@t431)) % 25.63/25.88 (step @p904 :rule reordering :premises (@p903) :args ((or @t142 @t423 @t430 @t421 @t429 @t428 (not @t431)))) % 25.63/25.88 (step @p905 :rule chain_m_resolution :premises (@p904 @p54 @p870 @p902 @p898 @p556 @p80) :args (@t428 @t432 (@list @t141 @t413 @t425 @t421 @t319 @t431))) % 25.63/25.88 (step @p906 :rule refl :args (@t434)) % 25.63/25.88 (step @p907 :rule eq-symm :args (@t433 @t139)) % 25.63/25.88 (step @p908 :rule cong :premises (@p907) :args (@t435)) % 25.63/25.88 (step @p909 :rule refl :args (@t436)) % 25.63/25.88 (step @p910 :rule eq-symm :args (@t138 @t152)) % 25.63/25.88 (step @p911 :rule cong :premises (@p910) :args (@t437)) % 25.63/25.88 (step @p912 :rule nary_cong :premises (@p911 @p909 @p908 @p906) :args (@t438)) % 25.63/25.88 (step @p913 :rule refl :args (@t440)) % 25.63/25.88 (step @p914 :rule refl :args (@t441)) % 25.63/25.88 (step @p915 :rule refl :args (@t414)) % 25.63/25.88 (step @p916 :rule nary_cong :premises (@p140 @p915 @p914 @p913 @p137 @p912) :args (@t442)) % 25.63/25.88 (step @p917 :rule cong :premises (@p143 @p916) :args ((=> @t188 @t442))) % 25.63/25.88 (assume-push @p1271 @t188) % 25.63/25.88 (step @p919 :rule instantiate :premises (@p130) :args ((@list tptp.sz10 tptp.xn @t120))) % 25.63/25.88 (step-pop @p1272 :rule scope :premises (@p919)) % 25.63/25.88 (step @p920 :rule process_scope :premises (@p1272) :args (@t442)) % 25.63/25.88 (step @p922 :rule eq_resolve :premises (@p920 @p917)) % 25.63/25.88 (step @p923 :rule implies_elim :premises (@p922)) % 25.63/25.88 (step @p924 :rule chain_m_resolution :premises (@p923 @p130) :args (@t444 @t191 @t192)) % 25.63/25.88 (step @p925 :rule refl :args (@t439)) % 25.63/25.88 (step @p926 :rule eq-symm :args (tptp.xn tptp.sz10)) % 25.63/25.88 (step @p927 :rule cong :premises (@p926) :args (@t446)) % 25.63/25.88 (step @p928 :rule nary_cong :premises (@p927 @p925) :args (@t447)) % 25.63/25.88 (step @p929 :rule eq-symm :args (tptp.xn tptp.sz00)) % 25.63/25.88 (step @p930 :rule nary_cong :premises (@p915 @p929 @p926 @p928) :args (@t448)) % 25.63/25.88 (step @p931 :rule cong :premises (@p237 @p930) :args ((=> @t227 @t448))) % 25.63/25.88 (assume-push @p1273 @t227) % 25.63/25.88 (step @p933 :rule instantiate :premises (@p229) :args ((@list tptp.xn))) % 25.63/25.88 (step-pop @p1274 :rule scope :premises (@p933)) % 25.63/25.88 (step @p934 :rule process_scope :premises (@p1274) :args (@t448)) % 25.63/25.88 (step @p936 :rule eq_resolve :premises (@p934 @p931)) % 25.63/25.88 (step @p937 :rule implies_elim :premises (@p936)) % 25.63/25.88 (step @p938 :rule chain_m_resolution :premises (@p937 @p229) :args (@t452 @t191 @t233)) % 25.63/25.88 (step @p939 :rule instantiate :premises (@p212) :args ((@list @t120 @t139))) % 25.63/25.88 (step @p940 :rule cnf_and_pos :args (@t189 0)) % 25.63/25.88 (step @p941 :rule reordering :premises (@p940) :args ((or @t181 @t314))) % 25.63/25.88 (step @p942 :rule chain_m_resolution :premises (@p941 @p521) :args (@t181 @t191 @t315)) % 25.63/25.88 (step @p943 :rule refl :args (@t454)) % 25.63/25.88 (step @p944 :rule bool-double-not-elim :args (@t180)) % 25.63/25.88 (step @p945 :rule refl :args (@t321)) % 25.63/25.88 (step @p946 :rule refl :args (@t322)) % 25.63/25.88 (step @p947 :rule nary_cong :premises (@p946 @p945 @p944 @p943) :args ((or @t322 @t321 (not @t181) @t454))) % 25.63/25.88 (assume-push @p1275 @t316) % 25.63/25.88 (assume-push @p1276 @t140) % 25.63/25.88 (assume-push @p1277 @t181) % 25.63/25.88 (assume-push @p1278 @t181) % 25.63/25.88 (assume-push @p1279 @t316) % 25.63/25.88 (assume-push @p1280 @t140) % 25.63/25.88 (step @p954 :rule false_intro :premises (@p1277)) % 25.63/25.88 (step @p955 :rule cong :premises (@p531 @p58) :args (@t453)) % 25.63/25.88 (step @p956 :rule trans :premises (@p955 @p954)) % 25.63/25.88 (step @p957 :rule false_elim :premises (@p956)) % 25.63/25.88 (step-pop @p1281 :rule scope :premises (@p957)) % 25.63/25.88 (step-pop @p1282 :rule scope :premises (@p1281)) % 25.63/25.88 (step-pop @p1283 :rule scope :premises (@p1282)) % 25.63/25.88 (step @p958 :rule process_scope :premises (@p1283) :args (@t454)) % 25.63/25.88 (step @p962 :rule and_intro :premises (@p1277 @p531 @p58)) % 25.63/25.88 (step @p963 :rule modus_ponens :premises (@p962 @p958)) % 25.63/25.88 (step-pop @p1284 :rule scope :premises (@p963)) % 25.63/25.88 (step-pop @p1285 :rule scope :premises (@p1284)) % 25.63/25.88 (step-pop @p1286 :rule scope :premises (@p1285)) % 25.63/25.88 (step @p964 :rule process_scope :premises (@p1286) :args (@t454)) % 25.63/25.88 (step @p968 :rule implies_elim :premises (@p964)) % 25.63/25.88 (step @p969 :rule cnf_and_neg :args (@t455)) % 25.63/25.88 (step @p970 :rule resolution :premises (@p969 @p968) :args (true @t455)) % 25.63/25.88 (step @p971 :rule eq_resolve :premises (@p970 @p947)) % 25.63/25.88 (step @p972 :rule reordering :premises (@p971) :args ((or @t322 @t454 @t321 @t180))) % 25.63/25.88 (step @p973 :rule chain_m_resolution :premises (@p972 @p531 @p58 @p942) :args (@t454 @t310 (@list @t316 @t140 @t180))) % 25.63/25.88 (step @p974 :rule cnf_or_pos :args (@t458)) % 25.63/25.88 (step @p975 :rule reordering :premises (@p974) :args ((or @t142 @t430 @t453 @t429 @t457 (not @t458)))) % 25.63/25.88 (step @p976 :rule chain_m_resolution :premises (@p975 @p54 @p902 @p973 @p556 @p939) :args (@t457 (@list false false true false false) (@list @t141 @t425 @t453 @t319 @t458))) % 25.63/25.88 (step @p977 :rule refl :args (@t412)) % 25.63/25.88 (step @p978 :rule bool-double-not-elim :args (@t456)) % 25.63/25.88 (step @p979 :rule refl :args (@t449)) % 25.63/25.88 (step @p980 :rule nary_cong :premises (@p734 @p979 @p945 @p978 @p977) :args ((or @t398 @t449 @t321 (not @t457) @t412))) % 25.63/25.88 (assume-push @p1287 @t457) % 25.63/25.88 (assume-push @p1288 @t140) % 25.63/25.88 (assume-push @p1289 @t441) % 25.63/25.88 (assume-push @p1290 @t397) % 25.63/25.88 (assume-push @p1291 @t334) % 25.63/25.88 (step @p986 :rule evaluate :args ((= true false))) % 25.63/25.88 (step @p987 :rule false_intro :premises (@p1287)) % 25.63/25.88 (step @p879 :rule refl :args (@t120)) % 25.63/25.88 (step @p988 :rule symm :premises (@p58)) % 25.63/25.88 (step @p989 :rule symm :premises (@p1289)) % 25.63/25.88 (step @p990 :rule cong :premises (@p879 @p989) :args (@t152)) % 25.63/25.88 (step @p991 :rule trans :premises (@p990 @p988)) % 25.63/25.88 (step @p843 :rule symm :premises (@p727)) % 25.63/25.88 (step @p992 :rule trans :premises (@p843 @p991)) % 25.63/25.88 (step @p993 :rule cong :premises (@p992 @p879) :args (@t334)) % 25.63/25.88 (step @p994 :rule true_intro :premises (@p1291)) % 25.63/25.88 (step @p995 :rule symm :premises (@p994)) % 25.63/25.88 (step @p996 :rule trans :premises (@p995 @p993 @p987)) % 25.63/25.88 (step @p997 false :rule eq_resolve :premises (@p996 @p986)) % 25.63/25.88 (step-pop @p1292 :rule scope :premises (@p997)) % 25.63/25.88 (step-pop @p1293 :rule scope :premises (@p1292)) % 25.63/25.88 (step-pop @p1294 :rule scope :premises (@p1293)) % 25.63/25.88 (step-pop @p1295 :rule scope :premises (@p1294)) % 25.63/25.88 (step-pop @p1296 :rule scope :premises (@p1295)) % 25.63/25.88 (step @p998 :rule process_scope :premises (@p1296) :args (false)) % 25.63/25.88 (assume-push @p1297 @t397) % 25.63/25.88 (assume-push @p1298 @t441) % 25.63/25.88 (assume-push @p1299 @t140) % 25.63/25.88 (assume-push @p1300 @t457) % 25.63/25.88 (assume-push @p1301 @t334) % 25.63/25.88 (step @p1009 :rule and_intro :premises (@p1300 @p58 @p1298 @p727 @p1301)) % 25.63/25.88 (step-pop @p1302 :rule scope :premises (@p1009)) % 25.63/25.88 (step-pop @p1303 :rule scope :premises (@p1302)) % 25.63/25.88 (step-pop @p1304 :rule scope :premises (@p1303)) % 25.63/25.88 (step-pop @p1305 :rule scope :premises (@p1304)) % 25.63/25.88 (step-pop @p1306 :rule scope :premises (@p1305)) % 25.63/25.88 (step @p1010 :rule process_scope :premises (@p1306) :args (@t459)) % 25.63/25.88 (step @p1016 :rule implies_elim :premises (@p1010)) % 25.63/25.88 (step @p1017 :rule resolution :premises (@p1016 @p998) :args (true @t459)) % 25.63/25.88 (step @p1018 :rule not_and :premises (@p1017)) % 25.63/25.88 (step @p1019 :rule eq_resolve :premises (@p1018 @p980)) % 25.63/25.88 (step @p1020 :rule chain_m_resolution :premises (@p1019 @p727 @p58 @p976 @p814) :args (@t449 @t313 (@list @t397 @t140 @t456 @t334))) % 25.63/25.88 (step @p1021 :rule refl :args (@t113)) % 25.63/25.88 (step @p1022 :rule cong :premises (@p1021 @p609) :args (@t460)) % 25.63/25.88 (step @p1023 :rule cong :premises (@p1022) :args (@t461)) % 25.63/25.88 (step @p1024 :rule nary_cong :premises (@p266 @p1023) :args (@t462)) % 25.63/25.88 (step @p1025 :rule cong :premises (@p1024) :args (@t463)) % 25.63/25.88 (step @p1026 :rule cong :premises (@p1025) :args ((not @t463))) % 25.63/25.88 (step @p1027 :rule bool-and-de-morgan :args (@t2 @t460 true)) % 25.63/25.88 (step @p1028 :rule cong :premises (@p1027) :args (@t465)) % 25.63/25.88 (step @p1029 :rule cong :premises (@p1028) :args (@t466)) % 25.63/25.88 (step @p1030 :rule exists-elim :args ((= (exists @t3 @t464) @t466))) % 25.63/25.88 (step @p1031 :rule trans :premises (@p1030 @p1029)) % 25.63/25.88 (step @p1032 :rule eq-symm :args (@t112 @t113)) % 25.63/25.88 (step @p1033 :rule nary_cong :premises (@p225 @p1032) :args (@t114)) % 25.63/25.88 (step @p1034 :rule cong :premises (@p1033) :args (@t115)) % 25.63/25.88 (step @p1035 :rule trans :premises (@p1034 @p1031)) % 25.63/25.88 (step @p1036 :rule trans :premises (@p1035 @p1026)) % 25.63/25.88 (step @p1037 :rule and_elim :premises (@p35) :args (2)) % 25.63/25.88 (step @p1038 :rule eq_resolve :premises (@p1037 @p1036)) % 25.63/25.88 (step @p1039 :rule refl :args (@t474)) % 25.63/25.88 (step @p1040 :rule bool-double-not-elim :args (@t467)) % 25.63/25.88 (step @p1041 :rule nary_cong :premises (@p1040 @p1039) :args ((or (not @t475) @t474))) % 25.63/25.88 (step @p1042 :rule eq-symm :args (@t469 @t152)) % 25.63/25.88 (step @p1043 :rule cong :premises (@p1042) :args (@t476)) % 25.63/25.88 (step @p1044 :rule refl :args (@t472)) % 25.63/25.88 (step @p1045 :rule nary_cong :premises (@p1044 @p1043) :args (@t477)) % 25.63/25.88 (step @p1046 :rule cong :premises (@p1045) :args (@t478)) % 25.63/25.88 (step @p1047 :rule refl :args (@t475)) % 25.63/25.88 (step @p1048 :rule cong :premises (@p1047 @p1046) :args ((=> @t475 @t478))) % 25.63/25.88 (assume-push @p1307 @t475) % 25.63/25.88 (step @p1050 :rule skolemize :premises (@p1038)) % 25.63/25.88 (step-pop @p1308 :rule scope :premises (@p1050)) % 25.63/25.88 (step @p1051 :rule process_scope :premises (@p1308) :args (@t478)) % 25.63/25.88 (step @p1053 :rule eq_resolve :premises (@p1051 @p1048)) % 25.63/25.88 (step @p1054 :rule implies_elim :premises (@p1053)) % 25.63/25.88 (step @p1055 :rule eq_resolve :premises (@p1054 @p1041)) % 25.63/25.88 (step @p1056 :rule chain_m_resolution :premises (@p1055 @p1038) :args (@t474 @t312 (@list @t467))) % 25.63/25.88 (step @p1057 :rule bool-double-not-elim :args (@t470)) % 25.63/25.88 (step @p1058 :rule refl :args (@t473)) % 25.63/25.88 (step @p1059 :rule nary_cong :premises (@p1058 @p1057) :args ((or @t473 (not @t471)))) % 25.63/25.88 (step @p1060 :rule cnf_or_neg :args (@t473 1)) % 25.63/25.88 (step @p1061 :rule eq_resolve :premises (@p1060 @p1059)) % 25.63/25.88 (step @p1062 :rule reordering :premises (@p1061) :args ((or @t470 @t473))) % 25.63/25.88 (step @p1063 :rule chain_m_resolution :premises (@p1062 @p1056) :args (@t470 @t312 (@list @t473))) % 25.63/25.88 (step @p1064 :rule refl :args (@t480)) % 25.63/25.88 (step @p1065 :rule refl :args (@t471)) % 25.63/25.88 (step @p1066 :rule nary_cong :premises (@p734 @p1065 @p872 @p1064) :args ((or @t398 @t471 @t418 @t480))) % 25.63/25.88 (assume-push @p1309 @t397) % 25.63/25.88 (assume-push @p1310 @t470) % 25.63/25.88 (assume-push @p1311 @t346) % 25.63/25.88 (assume-push @p1312 @t346) % 25.63/25.88 (assume-push @p1313 @t397) % 25.63/25.88 (assume-push @p1314 @t470) % 25.63/25.88 (step @p1073 :rule false_intro :premises (@p1311)) % 25.63/25.88 (step @p1074 :rule symm :premises (@p1063)) % 25.63/25.88 (step @p1075 :rule trans :premises (@p1074 @p727)) % 25.63/25.88 (step @p879 :rule refl :args (@t120)) % 25.63/25.88 (step @p1076 :rule cong :premises (@p879 @p1075) :args (@t479)) % 25.63/25.88 (step @p1077 :rule trans :premises (@p1076 @p1073)) % 25.63/25.88 (step @p1078 :rule false_elim :premises (@p1077)) % 25.63/25.88 (step-pop @p1315 :rule scope :premises (@p1078)) % 25.63/25.88 (step-pop @p1316 :rule scope :premises (@p1315)) % 25.63/25.88 (step-pop @p1317 :rule scope :premises (@p1316)) % 25.63/25.88 (step @p1079 :rule process_scope :premises (@p1317) :args (@t480)) % 25.63/25.88 (step @p1083 :rule and_intro :premises (@p1311 @p727 @p1063)) % 25.63/25.88 (step @p1084 :rule modus_ponens :premises (@p1083 @p1079)) % 25.63/25.88 (step-pop @p1318 :rule scope :premises (@p1084)) % 25.63/25.88 (step-pop @p1319 :rule scope :premises (@p1318)) % 25.63/25.88 (step-pop @p1320 :rule scope :premises (@p1319)) % 25.63/25.88 (step @p1085 :rule process_scope :premises (@p1320) :args (@t480)) % 25.63/25.88 (step @p1089 :rule implies_elim :premises (@p1085)) % 25.63/25.88 (step @p1090 :rule cnf_and_neg :args (@t481)) % 25.63/25.88 (step @p1091 :rule resolution :premises (@p1090 @p1089) :args (true @t481)) % 25.63/25.88 (step @p1092 :rule eq_resolve :premises (@p1091 @p1066)) % 25.63/25.88 (step @p1093 :rule chain_m_resolution :premises (@p1092 @p727 @p1063 @p777) :args (@t480 @t310 (@list @t397 @t470 @t345))) % 25.63/25.88 (assume-push @p1321 @t470) % 25.63/25.88 (assume-push @p1322 @t451) % 25.63/25.88 (assume-push @p1323 @t316) % 25.63/25.88 (assume-push @p1324 @t470) % 25.63/25.88 (assume-push @p1325 @t451) % 25.63/25.88 (assume-push @p1326 @t316) % 25.63/25.88 (step @p879 :rule refl :args (@t120)) % 25.63/25.88 (step @p1100 :rule cong :premises (@p879 @p1322) :args (@t178)) % 25.63/25.88 (step @p1101 :rule trans :premises (@p531 @p1100 @p1063)) % 25.63/25.88 (step-pop @p1327 :rule scope :premises (@p1101)) % 25.63/25.88 (step-pop @p1328 :rule scope :premises (@p1327)) % 25.63/25.88 (step-pop @p1329 :rule scope :premises (@p1328)) % 25.63/25.88 (step @p1102 :rule process_scope :premises (@p1329) :args (@t479)) % 25.63/25.88 (step @p1106 :rule and_intro :premises (@p1063 @p1322 @p531)) % 25.63/25.88 (step @p1107 :rule modus_ponens :premises (@p1106 @p1102)) % 25.63/25.88 (step-pop @p1330 :rule scope :premises (@p1107)) % 25.63/25.88 (step-pop @p1331 :rule scope :premises (@p1330)) % 25.63/25.88 (step-pop @p1332 :rule scope :premises (@p1331)) % 25.63/25.88 (step @p1108 :rule process_scope :premises (@p1332) :args (@t479)) % 25.63/25.88 (step @p1112 :rule implies_elim :premises (@p1108)) % 25.63/25.88 (step @p1113 :rule cnf_and_neg :args (@t482)) % 25.63/25.88 (step @p1114 :rule resolution :premises (@p1113 @p1112) :args (true @t482)) % 25.63/25.88 (step @p1115 :rule reordering :premises (@p1114) :args ((or @t471 @t479 @t483 @t322))) % 25.63/25.88 (step @p1116 :rule chain_m_resolution :premises (@p1115 @p531 @p1093 @p1063) :args (@t483 @t484 (@list @t316 @t479 @t470))) % 25.63/25.88 (step @p1117 :rule cnf_or_pos :args (@t452)) % 25.63/25.88 (step @p1118 :rule reordering :premises (@p1117) :args ((or @t414 @t451 @t441 @t450 (not @t452)))) % 25.63/25.88 (step @p1119 :rule chain_m_resolution :premises (@p1118 @p867 @p1116 @p1020 @p938) :args (@t450 (@list false true true false) (@list @t109 @t451 @t441 @t452))) % 25.63/25.88 (step @p1120 :rule cnf_and_pos :args (@t450 1)) % 25.63/25.88 (step @p1121 :rule reordering :premises (@p1120) :args ((or @t439 (not @t450)))) % 25.63/25.88 (step @p1122 :rule chain_m_resolution :premises (@p1121 @p1119) :args (@t439 @t191 (@list @t450))) % 25.63/25.88 (step @p1123 :rule cnf_or_pos :args (@t444)) % 25.63/25.88 (step @p1124 :rule reordering :premises (@p1123) :args ((or @t143 @t142 @t414 @t441 @t440 @t443 (not @t444)))) % 25.63/25.88 (step @p1125 :rule chain_m_resolution :premises (@p1124 @p55 @p54 @p867 @p1020 @p1122 @p924) :args (@t443 @t432 (@list @t7 @t141 @t109 @t441 @t439 @t444))) % 25.63/25.88 (step @p1126 :rule cnf_and_pos :args (@t443 1)) % 25.63/25.88 (step @p1127 :rule reordering :premises (@p1126) :args ((or @t436 (not @t443)))) % 25.63/25.88 (step @p1128 :rule chain_m_resolution :premises (@p1127 @p1125) :args (@t436 @t191 (@list @t443))) % 25.63/25.88 (step @p1129 :rule refl :args (@t485)) % 25.63/25.88 (step @p1130 :rule bool-double-not-elim :args (@t427)) % 25.63/25.88 (step @p1131 :rule nary_cong :premises (@p945 @p1130 @p1129) :args ((or @t321 (not @t428) @t485))) % 25.63/25.88 (assume-push @p1333 @t436) % 25.63/25.88 (assume-push @p1334 @t140) % 25.63/25.88 (assume-push @p1335 @t428) % 25.63/25.88 (step @p388 :rule evaluate :args (@t284)) % 25.63/25.88 (step @p1135 :rule true_intro :premises (@p1333)) % 25.63/25.88 (step @p1136 :rule refl :args (@t152)) % 25.63/25.88 (step @p1137 :rule cong :premises (@p58 @p1136) :args (@t427)) % 25.63/25.88 (step @p1138 :rule false_intro :premises (@p1335)) % 25.63/25.88 (step @p1139 :rule symm :premises (@p1138)) % 25.63/25.88 (step @p1140 :rule trans :premises (@p1139 @p1137 @p1135)) % 25.63/25.88 (step @p1141 false :rule eq_resolve :premises (@p1140 @p388)) % 25.63/25.88 (step-pop @p1336 :rule scope :premises (@p1141)) % 25.63/25.88 (step-pop @p1337 :rule scope :premises (@p1336)) % 25.63/25.88 (step-pop @p1338 :rule scope :premises (@p1337)) % 25.63/25.88 (step @p1142 :rule process_scope :premises (@p1338) :args (false)) % 25.63/25.88 (assume-push @p1339 @t140) % 25.63/25.88 (assume-push @p1340 @t428) % 25.63/25.88 (assume-push @p1341 @t436) % 25.63/25.88 (step @p1149 :rule and_intro :premises (@p1341 @p58 @p1340)) % 25.63/25.88 (step-pop @p1342 :rule scope :premises (@p1149)) % 25.63/25.88 (step-pop @p1343 :rule scope :premises (@p1342)) % 25.63/25.88 (step-pop @p1344 :rule scope :premises (@p1343)) % 25.63/25.88 (step @p1150 :rule process_scope :premises (@p1344) :args (@t486)) % 25.63/25.88 (step @p1154 :rule implies_elim :premises (@p1150)) % 25.63/25.88 (step @p1155 :rule resolution :premises (@p1154 @p1142) :args (true @t486)) % 25.63/25.88 (step @p1156 :rule not_and :premises (@p1155)) % 25.63/25.88 (step @p1157 :rule eq_resolve :premises (@p1156 @p1131)) % 25.63/25.88 (step @p1158 false :rule chain_m_resolution :premises (@p1157 @p1128 @p905 @p58) :args (false @t484 (@list @t436 @t427 @t140))) % 25.63/25.88 ) % 25.63/25.88 % SZS output end Proof % 25.63/25.88 % cvc5 exiting %------------------------------------------------------------------------------