%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM526+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:43 AM UTC 2026 % Result : Theorem 239.42s 239.78s % Output : Proof 239.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM526+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:27:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 239.42/239.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 239.42/239.78 --- Run --no-e-matching --full-saturate-quant at 6... % 239.42/239.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 239.42/239.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 239.42/239.78 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 239.42/239.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 239.42/239.78 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 239.42/239.78 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 239.42/239.78 --- Run --prenex-quant=none --full-saturate-quant at 30... % 239.42/239.78 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 239.42/239.78 --- Run --relevant-triggers --full-saturate-quant at 30... % 239.42/239.78 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 239.42/239.78 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 239.42/239.78 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 239.42/239.78 % SZS status Theorem % 239.42/239.78 % SZS output start Proof % 239.42/239.78 ( % 239.42/239.78 (declare-sort $$unsorted 0) % 239.42/239.78 (declare-const tptp.xq $$unsorted) % 239.42/239.78 (declare-const tptp.xp $$unsorted) % 239.42/239.78 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 239.42/239.78 (declare-const tptp.sz10 $$unsorted) % 239.42/239.78 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 239.42/239.78 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 239.42/239.78 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 239.42/239.78 (declare-const tptp.sz00 $$unsorted) % 239.42/239.78 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 239.42/239.78 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 239.42/239.78 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 239.42/239.78 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 239.42/239.78 (declare-const tptp.xn $$unsorted) % 239.42/239.78 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 239.42/239.78 (declare-const tptp.xm $$unsorted) % 239.42/239.78 (define @t1 () (@var "W0" $$unsorted)) % 239.42/239.78 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 239.42/239.78 (define @t3 () (@list @t1)) % 239.42/239.78 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 239.42/239.78 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 239.42/239.78 (define @t6 () (@var "W1" $$unsorted)) % 239.42/239.78 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 239.42/239.78 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 239.42/239.78 (define @t9 () (and @t2 @t8)) % 239.42/239.78 (define @t10 () (@list @t1 @t6)) % 239.42/239.78 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 239.42/239.78 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 239.42/239.78 (define @t13 () (forall @t10 (=> @t9 @t12))) % 239.42/239.78 (define @t14 () (tptp.sdtpldt0 @t6 @t1)) % 239.42/239.78 (define @t15 () (@var "W2" $$unsorted)) % 239.42/239.78 (define @t16 () (tptp.sdtpldt0 @t6 @t15)) % 239.42/239.78 (define @t17 () (tptp.aNaturalNumber0 @t15)) % 239.42/239.78 (define @t18 () (and @t2 @t8 @t17)) % 239.42/239.78 (define @t19 () (@list @t1 @t6 @t15)) % 239.42/239.78 (define @t20 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 239.42/239.78 (define @t21 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 239.42/239.78 (define @t22 () (and (= @t21 @t1) @t20)) % 239.42/239.78 (define @t23 () (=> @t2 @t22)) % 239.42/239.78 (define @t24 () (forall @t3 @t23)) % 239.42/239.78 (define @t25 () (tptp.sdtasdt0 @t6 @t1)) % 239.42/239.78 (define @t26 () (= @t11 @t25)) % 239.42/239.78 (define @t27 () (forall @t10 (=> @t9 @t26))) % 239.42/239.78 (define @t28 () (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t15)))) % 239.42/239.78 (define @t29 () (forall @t19 (=> @t18 @t28))) % 239.42/239.78 (define @t30 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 239.42/239.78 (define @t31 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 239.42/239.78 (define @t32 () (and (= @t31 @t1) @t30)) % 239.42/239.78 (define @t33 () (=> @t2 @t32)) % 239.42/239.78 (define @t34 () (forall @t3 @t33)) % 239.42/239.78 (define @t35 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 239.42/239.78 (define @t36 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 239.42/239.78 (define @t37 () (and (= @t36 tptp.sz00) @t35)) % 239.42/239.78 (define @t38 () (=> @t2 @t37)) % 239.42/239.78 (define @t39 () (forall @t3 @t38)) % 239.42/239.78 (define @t40 () (tptp.sdtasdt0 @t15 @t1)) % 239.42/239.78 (define @t41 () (tptp.sdtasdt0 @t1 @t15)) % 239.42/239.78 (define @t42 () (= @t6 @t15)) % 239.42/239.78 (define @t43 () (tptp.sdtpldt0 @t15 @t1)) % 239.42/239.78 (define @t44 () (tptp.sdtpldt0 @t1 @t15)) % 239.42/239.78 (define @t45 () (= @t25 @t40)) % 239.42/239.78 (define @t46 () (= @t11 @t41)) % 239.42/239.78 (define @t47 () (or @t46 @t45)) % 239.42/239.78 (define @t48 () (=> @t47 @t42)) % 239.42/239.78 (define @t49 () (and @t8 @t17)) % 239.42/239.78 (define @t50 () (@list @t6 @t15)) % 239.42/239.78 (define @t51 () (forall @t50 (=> @t49 @t48))) % 239.42/239.78 (define @t52 () (= @t1 tptp.sz00)) % 239.42/239.78 (define @t53 () (not @t52)) % 239.42/239.78 (define @t54 () (=> @t53 @t51)) % 239.42/239.78 (define @t55 () (=> @t2 @t54)) % 239.42/239.78 (define @t56 () (forall @t3 @t55)) % 239.42/239.78 (define @t57 () (= @t6 tptp.sz00)) % 239.42/239.78 (define @t58 () (or @t52 @t57)) % 239.42/239.78 (define @t59 () (=> (= @t11 tptp.sz00) @t58)) % 239.42/239.78 (define @t60 () (=> @t9 @t59)) % 239.42/239.78 (define @t61 () (forall @t10 @t60)) % 239.42/239.78 (define @t62 () (and @t17 (= @t44 @t6))) % 239.42/239.78 (define @t63 () (@list @t15)) % 239.42/239.78 (define @t64 () (tptp.sdtlseqdt0 @t1 @t6)) % 239.42/239.78 (define @t65 () (= @t1 @t6)) % 239.42/239.78 (define @t66 () (tptp.sdtlseqdt0 @t6 @t1)) % 239.42/239.78 (define @t67 () (tptp.sdtlseqdt0 @t6 @t15)) % 239.42/239.78 (define @t68 () (= @t6 @t1)) % 239.42/239.78 (define @t69 () (tptp.sdtpldt0 @t15 @t6)) % 239.42/239.78 (define @t70 () (not @t65)) % 239.42/239.78 (define @t71 () (and @t70 @t64)) % 239.42/239.78 (define @t72 () (not @t45)) % 239.42/239.78 (define @t73 () (not @t46)) % 239.42/239.78 (define @t74 () (= @t1 tptp.sz10)) % 239.42/239.78 (define @t75 () (tptp.sdtlseqdt0 @t6 @t25)) % 239.42/239.78 (define @t76 () (=> @t53 @t75)) % 239.42/239.78 (define @t77 () (forall @t10 (=> @t9 @t76))) % 239.42/239.78 (define @t78 () (tptp.iLess0 @t1 @t6)) % 239.42/239.78 (define @t79 () (=> @t71 @t78)) % 239.42/239.78 (define @t80 () (forall @t10 (=> @t9 @t79))) % 239.42/239.78 (define @t81 () (= @t6 @t41)) % 239.42/239.78 (define @t82 () (and @t17 @t81)) % 239.42/239.78 (define @t83 () (exists @t63 @t82)) % 239.42/239.78 (define @t84 () (tptp.doDivides0 @t1 @t6)) % 239.42/239.78 (define @t85 () (= @t84 @t83)) % 239.42/239.78 (define @t86 () (=> @t9 @t85)) % 239.42/239.78 (define @t87 () (forall @t10 @t86)) % 239.42/239.78 (define @t88 () (tptp.sdtsldt0 @t6 @t1)) % 239.42/239.78 (define @t89 () (= @t15 @t88)) % 239.42/239.78 (define @t90 () (forall @t63 (= @t89 @t82))) % 239.42/239.78 (define @t91 () (and @t53 @t84)) % 239.42/239.78 (define @t92 () (=> @t91 @t90)) % 239.42/239.78 (define @t93 () (=> @t9 @t92)) % 239.42/239.78 (define @t94 () (forall @t10 @t93)) % 239.42/239.78 (define @t95 () (tptp.doDivides0 @t1 @t15)) % 239.42/239.78 (define @t96 () (tptp.doDivides0 @t1 @t16)) % 239.42/239.78 (define @t97 () (not @t57)) % 239.42/239.78 (define @t98 () (= (tptp.sdtasdt0 @t15 @t88) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t6) @t1))) % 239.42/239.78 (define @t99 () (forall @t63 (=> @t17 @t98))) % 239.42/239.78 (define @t100 () (=> @t91 @t99)) % 239.42/239.78 (define @t101 () (=> @t9 @t100)) % 239.42/239.78 (define @t102 () (forall @t10 @t101)) % 239.42/239.78 (define @t103 () (tptp.doDivides0 @t6 @t1)) % 239.42/239.78 (define @t104 () (@list @t6)) % 239.42/239.78 (define @t105 () (not @t74)) % 239.42/239.78 (define @t106 () (tptp.doDivides0 @t15 @t6)) % 239.42/239.78 (define @t107 () (tptp.doDivides0 @t15 @t1)) % 239.42/239.78 (define @t108 () (or @t107 @t106)) % 239.42/239.78 (define @t109 () (tptp.doDivides0 @t15 @t11)) % 239.42/239.78 (define @t110 () (tptp.isPrime0 @t15)) % 239.42/239.78 (define @t111 () (and @t110 @t109)) % 239.42/239.78 (define @t112 () (=> @t111 @t108)) % 239.42/239.78 (define @t113 () (forall @t19 (=> @t18 @t112))) % 239.42/239.78 (define @t114 () (= tptp.xp tptp.sz00)) % 239.42/239.78 (define @t115 () (not (= tptp.xn tptp.sz00))) % 239.42/239.78 (define @t116 () (tptp.aNaturalNumber0 tptp.xp)) % 239.42/239.78 (define @t117 () (tptp.aNaturalNumber0 tptp.xm)) % 239.42/239.78 (define @t118 () (tptp.aNaturalNumber0 tptp.xn)) % 239.42/239.78 (define @t119 () (@var "W3" $$unsorted)) % 239.42/239.78 (define @t120 () (or (= @t119 tptp.sz10) (= @t119 @t15))) % 239.42/239.78 (define @t121 () (tptp.doDivides0 @t119 @t15)) % 239.42/239.78 (define @t122 () (@var "W4" $$unsorted)) % 239.42/239.78 (define @t123 () (= @t15 (tptp.sdtasdt0 @t119 @t122))) % 239.42/239.78 (define @t124 () (tptp.aNaturalNumber0 @t122)) % 239.42/239.78 (define @t125 () (and @t124 @t123)) % 239.42/239.78 (define @t126 () (@list @t122)) % 239.42/239.78 (define @t127 () (exists @t126 @t125)) % 239.42/239.78 (define @t128 () (tptp.aNaturalNumber0 @t119)) % 239.42/239.78 (define @t129 () (and @t128 @t127 @t121)) % 239.42/239.78 (define @t130 () (=> @t129 @t120)) % 239.42/239.78 (define @t131 () (@list @t119)) % 239.42/239.78 (define @t132 () (forall @t131 @t130)) % 239.42/239.78 (define @t133 () (not (= @t15 tptp.sz10))) % 239.42/239.78 (define @t134 () (and @t133 @t132)) % 239.42/239.78 (define @t135 () (or @t134 @t110)) % 239.42/239.78 (define @t136 () (not @t135)) % 239.42/239.78 (define @t137 () (tptp.iLess0 @t1 tptp.xn)) % 239.42/239.78 (define @t138 () (=> @t137 @t136)) % 239.42/239.78 (define @t139 () (= (tptp.sdtasdt0 @t15 (tptp.sdtasdt0 @t6 @t6)) (tptp.sdtasdt0 @t1 @t1))) % 239.42/239.78 (define @t140 () (=> @t139 @t138)) % 239.42/239.78 (define @t141 () (not (= @t15 tptp.sz00))) % 239.42/239.78 (define @t142 () (and @t2 @t8 @t17 @t53 @t97 @t141)) % 239.42/239.78 (define @t143 () (=> @t142 @t140)) % 239.42/239.78 (define @t144 () (forall @t19 @t143)) % 239.42/239.78 (define @t145 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 239.42/239.78 (define @t146 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 239.42/239.78 (define @t147 () (tptp.isPrime0 tptp.xp)) % 239.42/239.78 (define @t148 () (tptp.doDivides0 tptp.xp tptp.xn)) % 239.42/239.78 (define @t149 () (tptp.sdtasdt0 tptp.xp @t1)) % 239.42/239.78 (define @t150 () (= tptp.xn @t149)) % 239.42/239.78 (define @t151 () (and @t2 @t150)) % 239.42/239.78 (define @t152 () (exists @t3 @t151)) % 239.42/239.78 (define @t153 () (tptp.sdtsldt0 tptp.xn tptp.xp)) % 239.42/239.78 (define @t154 () (= tptp.xq @t153)) % 239.42/239.78 (define @t155 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 239.42/239.78 (define @t156 () (tptp.aNaturalNumber0 tptp.xq)) % 239.42/239.78 (define @t157 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 239.42/239.78 (define @t158 () (tptp.sdtasdt0 tptp.xp @t157)) % 239.42/239.78 (define @t159 () (= @t146 @t158)) % 239.42/239.78 (define @t160 () (not @t17)) % 239.42/239.78 (define @t161 () (not @t8)) % 239.42/239.78 (define @t162 () (not @t2)) % 239.42/239.78 (define @t163 () (or @t162 @t161 @t160 @t28)) % 239.42/239.78 (define @t164 () (or @t162 @t161 @t160)) % 239.42/239.78 (define @t165 () (or @t161 @t160)) % 239.42/239.78 (define @t166 () (not @t49)) % 239.42/239.78 (define @t167 () (not @t18)) % 239.42/239.78 (define @t168 () (tptp.sdtasdt0 @t155 tptp.xq)) % 239.42/239.78 (define @t169 () (not @t156)) % 239.42/239.78 (define @t170 () (not @t116)) % 239.42/239.78 (define @t171 () (or @t170 @t169 @t169 (= @t168 @t158))) % 239.42/239.78 (define @t172 () (forall @t19 @t163)) % 239.42/239.78 (define @t173 () (= @t158 @t168)) % 239.42/239.78 (define @t174 () (or @t170 @t169 @t169 @t173)) % 239.42/239.78 (define @t175 () (@list false)) % 239.42/239.78 (define @t176 () (@list false false false)) % 239.42/239.78 (define @t177 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 239.42/239.78 (define @t178 () (= (tptp.sdtasdt0 @t177 @t88) (tptp.sdtsldt0 (tptp.sdtasdt0 @t177 @t6) @t1))) % 239.42/239.78 (define @t179 () (not (tptp.aNaturalNumber0 @t177))) % 239.42/239.78 (define @t180 () (not @t84)) % 239.42/239.78 (define @t181 () (or @t162 @t161 @t52 @t180 @t179 @t178)) % 239.42/239.78 (define @t182 () (or @t179 @t178)) % 239.42/239.78 (define @t183 () (or @t162 @t161 @t52 @t180 @t182)) % 239.42/239.78 (define @t184 () (@list @t1 @t6 @t177)) % 239.42/239.78 (define @t185 () (forall @t184 @t183)) % 239.42/239.78 (define @t186 () (@list @t177)) % 239.42/239.78 (define @t187 () (forall @t186 @t183)) % 239.42/239.78 (define @t188 () (forall @t186 @t182)) % 239.42/239.78 (define @t189 () (@list @t15)) % 239.42/239.78 (define @t190 () (or @t162 @t161 @t52 @t180 @t188)) % 239.42/239.78 (define @t191 () (forall @t63 (or @t160 @t98))) % 239.42/239.78 (define @t192 () (or @t162 @t161 @t52 @t180 @t191)) % 239.42/239.78 (define @t193 () (or @t52 @t180 @t191)) % 239.42/239.78 (define @t194 () (or @t162 @t161)) % 239.42/239.78 (define @t195 () (or @t52 @t180)) % 239.42/239.78 (define @t196 () (not @t53)) % 239.42/239.78 (define @t197 () (not @t91)) % 239.42/239.78 (define @t198 () (=> @t91 @t191)) % 239.42/239.78 (define @t199 () (not @t9)) % 239.42/239.78 (define @t200 () (tptp.sdtasdt0 tptp.xq @t155)) % 239.42/239.78 (define @t201 () (tptp.sdtsldt0 @t200 tptp.xp)) % 239.42/239.78 (define @t202 () (tptp.sdtsldt0 @t155 tptp.xp)) % 239.42/239.78 (define @t203 () (= (tptp.sdtasdt0 tptp.xq @t202) @t201)) % 239.42/239.78 (define @t204 () (tptp.doDivides0 tptp.xp @t155)) % 239.42/239.78 (define @t205 () (not @t204)) % 239.42/239.78 (define @t206 () (tptp.aNaturalNumber0 @t155)) % 239.42/239.78 (define @t207 () (not @t206)) % 239.42/239.78 (define @t208 () (or @t170 @t207 @t114 @t205 @t169 @t203)) % 239.42/239.78 (define @t209 () (forall @t184 @t181)) % 239.42/239.78 (define @t210 () (= tptp.sz00 tptp.xp)) % 239.42/239.78 (define @t211 () (or @t170 @t207 @t210 @t205 @t169 @t203)) % 239.42/239.78 (define @t212 () (@list @t209)) % 239.42/239.78 (define @t213 () (or @t162 @t161 @t26)) % 239.42/239.78 (define @t214 () (or @t207 @t169 (= @t168 @t200))) % 239.42/239.78 (define @t215 () (forall @t10 @t213)) % 239.42/239.78 (define @t216 () (= @t200 @t168)) % 239.42/239.78 (define @t217 () (or @t207 @t169 @t216)) % 239.42/239.78 (define @t218 () (@list tptp.xq tptp.xq)) % 239.42/239.78 (define @t219 () (tptp.aNaturalNumber0 @t157)) % 239.42/239.78 (define @t220 () (or @t169 @t169 @t219)) % 239.42/239.78 (define @t221 () (@list false false)) % 239.42/239.78 (define @t222 () (not @t219)) % 239.42/239.78 (define @t223 () (not (= @t158 @t158))) % 239.42/239.78 (define @t224 () (or @t222 @t223)) % 239.42/239.78 (define @t225 () (forall @t63 (or @t160 (not (= @t158 (tptp.sdtasdt0 tptp.xp @t15)))))) % 239.42/239.78 (define @t226 () (not @t225)) % 239.42/239.78 (define @t227 () (@quantifiers_skolemize @t225 0)) % 239.42/239.78 (define @t228 () (tptp.sdtasdt0 tptp.xp @t227)) % 239.42/239.78 (define @t229 () (= @t158 @t228)) % 239.42/239.78 (define @t230 () (not @t229)) % 239.42/239.78 (define @t231 () (or (not (tptp.aNaturalNumber0 @t227)) @t230)) % 239.42/239.78 (define @t232 () (not @t231)) % 239.42/239.78 (define @t233 () (not @t226)) % 239.42/239.78 (define @t234 () (@list true)) % 239.42/239.78 (define @t235 () (tptp.sdtsldt0 tptp.xm tptp.xp)) % 239.42/239.78 (define @t236 () (tptp.sdtasdt0 tptp.xm @t235)) % 239.42/239.78 (define @t237 () (= @t236 (tptp.sdtsldt0 @t146 tptp.xp))) % 239.42/239.78 (define @t238 () (not @t117)) % 239.42/239.78 (define @t239 () (tptp.doDivides0 tptp.xp tptp.xm)) % 239.42/239.78 (define @t240 () (not @t239)) % 239.42/239.78 (define @t241 () (or @t170 @t238 @t114 @t240 @t238 @t237)) % 239.42/239.78 (define @t242 () (or @t170 @t238 @t210 @t240 @t238 @t237)) % 239.42/239.78 (define @t243 () (not @t109)) % 239.42/239.78 (define @t244 () (not @t110)) % 239.42/239.78 (define @t245 () (or @t244 @t243 @t107 @t106)) % 239.42/239.78 (define @t246 () (= @t84 (not (forall @t63 (or @t160 (not @t81)))))) % 239.42/239.78 (define @t247 () (forall @t63 (not @t82))) % 239.42/239.78 (define @t248 () (not @t247)) % 239.42/239.78 (define @t249 () (tptp.aNaturalNumber0 @t158)) % 239.42/239.78 (define @t250 () (or @t170 @t222 @t249)) % 239.42/239.78 (define @t251 () (tptp.doDivides0 tptp.xp @t158)) % 239.42/239.78 (define @t252 () (= @t251 @t226)) % 239.42/239.78 (define @t253 () (not @t249)) % 239.42/239.78 (define @t254 () (or @t170 @t253 @t252)) % 239.42/239.78 (define @t255 () (not @t252)) % 239.42/239.78 (define @t256 () (@list true false)) % 239.42/239.78 (define @t257 () (tptp.doDivides0 tptp.xp @t146)) % 239.42/239.78 (define @t258 () (and @t159 @t251)) % 239.42/239.78 (define @t259 () (not @t257)) % 239.42/239.78 (define @t260 () (not @t147)) % 239.42/239.78 (define @t261 () (or @t238 @t238 @t170 @t260 @t259 @t239 @t239)) % 239.42/239.78 (define @t262 () (@list true false false false false)) % 239.42/239.78 (define @t263 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 239.42/239.78 (define @t264 () (and (tptp.aNaturalNumber0 @t263) (= @t6 (tptp.sdtasdt0 @t1 @t263)))) % 239.42/239.78 (define @t265 () (= @t264 (= @t263 @t88))) % 239.42/239.78 (define @t266 () (or @t162 @t161 @t52 @t180 @t265)) % 239.42/239.78 (define @t267 () (@list @t1 @t6 @t263)) % 239.42/239.78 (define @t268 () (forall @t267 @t266)) % 239.42/239.78 (define @t269 () (@list @t263)) % 239.42/239.78 (define @t270 () (forall @t269 @t266)) % 239.42/239.78 (define @t271 () (forall @t269 @t265)) % 239.42/239.78 (define @t272 () (or @t162 @t161 @t52 @t180 @t271)) % 239.42/239.78 (define @t273 () (forall @t63 (= @t82 @t89))) % 239.42/239.78 (define @t274 () (or @t162 @t161 @t52 @t180 @t273)) % 239.42/239.78 (define @t275 () (or @t52 @t180 @t273)) % 239.42/239.78 (define @t276 () (=> @t91 @t273)) % 239.42/239.78 (define @t277 () (tptp.sdtasdt0 tptp.xp @t235)) % 239.42/239.78 (define @t278 () (= tptp.xm @t277)) % 239.42/239.78 (define @t279 () (tptp.aNaturalNumber0 @t235)) % 239.42/239.78 (define @t280 () (and @t279 @t278)) % 239.42/239.78 (define @t281 () (= @t235 @t235)) % 239.42/239.78 (define @t282 () (or @t170 @t238 @t114 @t240 (= @t280 @t281))) % 239.42/239.78 (define @t283 () (forall @t267 (or @t162 @t161 @t52 @t180 (= @t264 (= @t88 @t263))))) % 239.42/239.78 (define @t284 () (or @t170 @t238 @t210 @t240 @t280)) % 239.42/239.78 (define @t285 () (@list @t283)) % 239.42/239.78 (define @t286 () (not @t280)) % 239.42/239.78 (define @t287 () (@list @t280)) % 239.42/239.78 (define @t288 () (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 @t235 @t235))) % 239.42/239.78 (define @t289 () (tptp.sdtasdt0 @t277 @t235)) % 239.42/239.78 (define @t290 () (= @t289 @t288)) % 239.42/239.78 (define @t291 () (not @t279)) % 239.42/239.78 (define @t292 () (or @t170 @t291 @t291 @t290)) % 239.42/239.78 (define @t293 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 239.42/239.78 (define @t294 () (tptp.sdtasdt0 @t119 @t293)) % 239.42/239.78 (define @t295 () (not (= @t15 @t294))) % 239.42/239.78 (define @t296 () (not (tptp.aNaturalNumber0 @t293))) % 239.42/239.78 (define @t297 () (= @t15 @t119)) % 239.42/239.78 (define @t298 () (= tptp.sz10 @t119)) % 239.42/239.78 (define @t299 () (not @t121)) % 239.42/239.78 (define @t300 () (not @t128)) % 239.42/239.78 (define @t301 () (or @t300 @t299 @t298 @t297 @t296 @t295)) % 239.42/239.78 (define @t302 () (@list @t119 @t293)) % 239.42/239.78 (define @t303 () (forall @t302 @t301)) % 239.42/239.78 (define @t304 () (not @t303)) % 239.42/239.78 (define @t305 () (= tptp.sz10 @t15)) % 239.42/239.78 (define @t306 () (and (or @t305 @t304) @t244)) % 239.42/239.78 (define @t307 () (not @t137)) % 239.42/239.78 (define @t308 () (not @t139)) % 239.42/239.78 (define @t309 () (= tptp.sz00 @t15)) % 239.42/239.78 (define @t310 () (= tptp.sz00 @t6)) % 239.42/239.78 (define @t311 () (or @t162 @t161 @t160 @t52 @t310 @t309 @t308 @t307 @t306)) % 239.42/239.78 (define @t312 () (or @t308 @t307 @t306)) % 239.42/239.78 (define @t313 () (not @t305)) % 239.42/239.78 (define @t314 () (and @t313 @t303)) % 239.42/239.78 (define @t315 () (not (or @t314 @t110))) % 239.42/239.78 (define @t316 () (=> @t137 @t315)) % 239.42/239.78 (define @t317 () (not @t309)) % 239.42/239.78 (define @t318 () (not @t317)) % 239.42/239.78 (define @t319 () (not @t310)) % 239.42/239.78 (define @t320 () (not @t319)) % 239.42/239.78 (define @t321 () (or @t162 @t161 @t160 @t196 @t320 @t318)) % 239.42/239.78 (define @t322 () (=> @t139 @t316)) % 239.42/239.78 (define @t323 () (and @t2 @t8 @t17 @t53 @t319 @t317)) % 239.42/239.78 (define @t324 () (or @t296 @t295)) % 239.42/239.78 (define @t325 () (or @t300 @t324 @t299 @t298 @t297)) % 239.42/239.78 (define @t326 () (forall @t302 @t325)) % 239.42/239.78 (define @t327 () (@list @t293)) % 239.42/239.78 (define @t328 () (forall @t327 @t325)) % 239.42/239.78 (define @t329 () (forall @t327 @t324)) % 239.42/239.78 (define @t330 () (or @t300 @t329 @t299 @t298 @t297)) % 239.42/239.78 (define @t331 () (forall @t126 (or (not @t124) (not @t123)))) % 239.42/239.78 (define @t332 () (or @t300 @t331 @t299 @t298 @t297)) % 239.42/239.78 (define @t333 () (or @t298 @t297)) % 239.42/239.78 (define @t334 () (not @t331)) % 239.42/239.78 (define @t335 () (not @t334)) % 239.42/239.78 (define @t336 () (or @t300 @t335 @t299)) % 239.42/239.78 (define @t337 () (and @t128 @t334 @t121)) % 239.42/239.78 (define @t338 () (forall @t126 (not @t125))) % 239.42/239.78 (define @t339 () (not @t338)) % 239.42/239.78 (define @t340 () (= tptp.sz10 tptp.xp)) % 239.42/239.78 (define @t341 () (and (or @t340 (not (forall @t302 (or @t300 (not (tptp.doDivides0 @t119 tptp.xp)) @t298 (= tptp.xp @t119) @t296 (not (= tptp.xp @t294)))))) @t260)) % 239.42/239.78 (define @t342 () (tptp.iLess0 tptp.xq @t155)) % 239.42/239.78 (define @t343 () (not @t342)) % 239.42/239.78 (define @t344 () (not (= @t288 @t157))) % 239.42/239.78 (define @t345 () (= tptp.sz00 @t235)) % 239.42/239.78 (define @t346 () (= tptp.xq tptp.sz00)) % 239.42/239.78 (define @t347 () (or @t169 @t291 @t170 @t346 @t345 @t210 @t344 @t343 @t341)) % 239.42/239.78 (define @t348 () (forall @t19 (or @t162 @t161 @t160 @t52 @t310 @t309 @t308 (not (tptp.iLess0 @t1 @t155)) @t306))) % 239.42/239.78 (define @t349 () (= @t157 @t288)) % 239.42/239.78 (define @t350 () (not @t349)) % 239.42/239.78 (define @t351 () (= tptp.sz00 tptp.xq)) % 239.42/239.78 (define @t352 () (or @t169 @t291 @t170 @t351 @t345 @t210 @t350 @t343 @t341)) % 239.42/239.78 (define @t353 () (and (= tptp.sz00 @t36) @t35)) % 239.42/239.78 (define @t354 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00))) % 239.42/239.78 (define @t355 () (and @t354 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 239.42/239.78 (define @t356 () (or @t238 @t355)) % 239.42/239.78 (define @t357 () (and (= @t1 @t21) @t20)) % 239.42/239.78 (define @t358 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 239.42/239.78 (define @t359 () (and @t358 @t358)) % 239.42/239.78 (define @t360 () (not @t4)) % 239.42/239.78 (define @t361 () (or @t360 @t359)) % 239.42/239.78 (define @t362 () (forall @t3 (or @t162 @t357))) % 239.42/239.78 (define @t363 () (or @t360 @t358)) % 239.42/239.78 (define @t364 () (= tptp.sz00 @t11)) % 239.42/239.78 (define @t365 () (not @t364)) % 239.42/239.78 (define @t366 () (or @t162 @t161 @t365 @t52 @t310)) % 239.42/239.78 (define @t367 () (or @t365 @t52 @t310)) % 239.42/239.78 (define @t368 () (or @t52 @t310)) % 239.42/239.78 (define @t369 () (=> @t364 @t368)) % 239.42/239.78 (define @t370 () (= tptp.sz00 @t157)) % 239.42/239.78 (define @t371 () (not @t370)) % 239.42/239.78 (define @t372 () (or @t169 @t169 @t371 @t346 @t351)) % 239.42/239.78 (define @t373 () (forall @t10 @t366)) % 239.42/239.78 (define @t374 () (or @t169 @t169 @t371 @t351 @t351)) % 239.42/239.78 (define @t375 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00))) % 239.42/239.78 (define @t376 () (and @t375 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 239.42/239.78 (define @t377 () (or @t170 @t376)) % 239.42/239.78 (define @t378 () (tptp.sdtasdt0 tptp.xp @t155)) % 239.42/239.78 (define @t379 () (= @t155 @t378)) % 239.42/239.78 (define @t380 () (and @t206 @t379)) % 239.42/239.78 (define @t381 () (= @t380 (= @t202 @t155))) % 239.42/239.78 (define @t382 () (or @t170 @t207 @t114 @t205 @t381)) % 239.42/239.78 (define @t383 () (= @t155 @t202)) % 239.42/239.78 (define @t384 () (= @t380 @t383)) % 239.42/239.78 (define @t385 () (or @t170 @t207 @t210 @t205 @t384)) % 239.42/239.78 (define @t386 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 239.42/239.78 (define @t387 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 239.42/239.78 (define @t388 () (= @t387 @t386)) % 239.42/239.78 (define @t389 () (and (not (= (tptp.sdtasdt0 @t1 @t387) (tptp.sdtasdt0 @t1 @t386))) (not (= (tptp.sdtasdt0 @t387 @t1) (tptp.sdtasdt0 @t386 @t1))))) % 239.42/239.78 (define @t390 () (not (tptp.aNaturalNumber0 @t386))) % 239.42/239.78 (define @t391 () (not (tptp.aNaturalNumber0 @t387))) % 239.42/239.78 (define @t392 () (or @t162 @t52 @t391 @t390 @t389 @t388)) % 239.42/239.78 (define @t393 () (or @t391 @t390 @t389 @t388)) % 239.42/239.78 (define @t394 () (or @t162 @t52 @t393)) % 239.42/239.78 (define @t395 () (@list @t1 @t387 @t386)) % 239.42/239.78 (define @t396 () (forall @t395 @t394)) % 239.42/239.78 (define @t397 () (@list @t387 @t386)) % 239.42/239.78 (define @t398 () (forall @t397 @t394)) % 239.42/239.78 (define @t399 () (forall @t397 @t393)) % 239.42/239.78 (define @t400 () (or @t162 @t52 @t399)) % 239.42/239.78 (define @t401 () (and @t73 @t72)) % 239.42/239.78 (define @t402 () (or @t161 @t160 @t401 @t42)) % 239.42/239.78 (define @t403 () (forall @t50 @t402)) % 239.42/239.78 (define @t404 () (or @t162 @t52 @t403)) % 239.42/239.78 (define @t405 () (=> @t53 @t403)) % 239.42/239.78 (define @t406 () (tptp.sdtasdt0 tptp.sz10 @t155)) % 239.42/239.78 (define @t407 () (not (= @t406 @t378))) % 239.42/239.78 (define @t408 () (tptp.sdtasdt0 @t155 tptp.sz10)) % 239.42/239.78 (define @t409 () (not (= @t408 (tptp.sdtasdt0 @t155 tptp.xp)))) % 239.42/239.78 (define @t410 () (and @t409 @t407)) % 239.42/239.78 (define @t411 () (not @t5)) % 239.42/239.78 (define @t412 () (or @t207 (= @t155 tptp.sz00) @t411 @t170 @t410 @t340)) % 239.42/239.78 (define @t413 () (forall @t395 @t392)) % 239.42/239.78 (define @t414 () (= @t378 @t406)) % 239.42/239.78 (define @t415 () (not @t414)) % 239.42/239.78 (define @t416 () (and @t409 @t415)) % 239.42/239.78 (define @t417 () (= tptp.sz00 @t155)) % 239.42/239.78 (define @t418 () (or @t207 @t417 @t411 @t170 @t416 @t340)) % 239.42/239.78 (define @t419 () (@list @t413)) % 239.42/239.78 (define @t420 () (= tptp.sz00 tptp.xn)) % 239.42/239.78 (define @t421 () (and (= @t1 @t31) @t30)) % 239.42/239.78 (define @t422 () (= @t155 @t406)) % 239.42/239.78 (define @t423 () (and (= @t155 @t408) @t422)) % 239.42/239.78 (define @t424 () (or @t207 @t423)) % 239.42/239.78 (define @t425 () (not (= @t155 @t149))) % 239.42/239.78 (define @t426 () (or @t162 @t425)) % 239.42/239.78 (define @t427 () (forall @t3 @t426)) % 239.42/239.78 (define @t428 () (not @t150)) % 239.42/239.78 (define @t429 () (or @t162 @t428)) % 239.42/239.78 (define @t430 () (forall @t3 @t429)) % 239.42/239.78 (define @t431 () (forall @t3 (not @t151))) % 239.42/239.78 (define @t432 () (not @t431)) % 239.42/239.78 (define @t433 () (forall @t3 (or @t162 (not (= @t149 @t155))))) % 239.42/239.78 (define @t434 () (@quantifiers_skolemize @t433 0)) % 239.42/239.78 (define @t435 () (tptp.sdtasdt0 tptp.xp @t434)) % 239.42/239.78 (define @t436 () (= @t155 @t435)) % 239.42/239.78 (define @t437 () (not @t436)) % 239.42/239.78 (define @t438 () (tptp.aNaturalNumber0 @t434)) % 239.42/239.78 (define @t439 () (not @t438)) % 239.42/239.78 (define @t440 () (or @t439 @t437)) % 239.42/239.78 (define @t441 () (not @t440)) % 239.42/239.78 (define @t442 () (not @t433)) % 239.42/239.78 (define @t443 () (not (= @t435 @t155))) % 239.42/239.78 (define @t444 () (or @t439 @t443)) % 239.42/239.78 (define @t445 () (not @t444)) % 239.42/239.78 (define @t446 () (@list @t440)) % 239.42/239.78 (define @t447 () (not @t422)) % 239.42/239.78 (define @t448 () (not @t379)) % 239.42/239.78 (define @t449 () (= false true)) % 239.42/239.78 (define @t450 () (not @t380)) % 239.42/239.78 (define @t451 () (not @t383)) % 239.42/239.78 (define @t452 () (= tptp.xq @t202)) % 239.42/239.78 (define @t453 () (and @t452 @t351 @t375)) % 239.42/239.78 (define @t454 () (not @t351)) % 239.42/239.78 (define @t455 () (not @t452)) % 239.42/239.78 (define @t456 () (not @t345)) % 239.42/239.78 (define @t457 () (not @t278)) % 239.42/239.78 (define @t458 () (not @t237)) % 239.42/239.78 (define @t459 () (not @t354)) % 239.42/239.78 (define @t460 () (not @t216)) % 239.42/239.78 (define @t461 () (not @t203)) % 239.42/239.78 (define @t462 () (not @t173)) % 239.42/239.78 (define @t463 () (not @t358)) % 239.42/239.78 (define @t464 () (not @t159)) % 239.42/239.78 (define @t465 () (= @t157 @t235)) % 239.42/239.78 (define @t466 () (tptp.sdtsldt0 @t228 tptp.xp)) % 239.42/239.78 (define @t467 () (and @t358 @t345 @t465 @t371)) % 239.42/239.78 (define @t468 () (not @t64)) % 239.42/239.78 (define @t469 () (or @t65 @t468 @t78)) % 239.42/239.78 (define @t470 () (tptp.sdtasdt0 @t434 tptp.xp)) % 239.42/239.78 (define @t471 () (tptp.sdtasdt0 tptp.xq tptp.xp)) % 239.42/239.78 (define @t472 () (= @t155 @t471)) % 239.42/239.78 (define @t473 () (or @t170 @t169 @t472)) % 239.42/239.78 (define @t474 () (= tptp.xq @t434)) % 239.42/239.78 (define @t475 () (and @t437 (not (= @t471 @t470)))) % 239.42/239.78 (define @t476 () (or @t170 @t114 @t169 @t439 @t475 @t474)) % 239.42/239.78 (define @t477 () (or @t170 @t210 @t169 @t439 @t475 @t474)) % 239.42/239.78 (define @t478 () (not @t475)) % 239.42/239.78 (define @t479 () (= @t434 @t470)) % 239.42/239.78 (define @t480 () (not @t479)) % 239.42/239.78 (define @t481 () (not @t472)) % 239.42/239.78 (define @t482 () (not @t474)) % 239.42/239.78 (define @t483 () (= @t470 @t434)) % 239.42/239.78 (define @t484 () (and @t452 @t474 @t472 @t451)) % 239.42/239.78 (define @t485 () (tptp.aNaturalNumber0 @t470)) % 239.42/239.78 (define @t486 () (or @t162 @t161 @t52 @t75)) % 239.42/239.78 (define @t487 () (tptp.sdtlseqdt0 @t434 @t470)) % 239.42/239.78 (define @t488 () (or @t170 @t439 @t114 @t487)) % 239.42/239.78 (define @t489 () (forall @t10 @t486)) % 239.42/239.78 (define @t490 () (or @t170 @t439 @t210 @t487)) % 239.42/239.78 (define @t491 () (tptp.iLess0 @t434 @t470)) % 239.42/239.78 (define @t492 () (not @t487)) % 239.42/239.78 (define @t493 () (not @t485)) % 239.42/239.78 (define @t494 () (or @t439 @t493 @t479 @t492 @t491)) % 239.42/239.78 (define @t495 () (and @t474 @t472 @t491)) % 239.42/239.78 (define @t496 () (not @t341)) % 239.42/239.78 (define @t497 () (not @t290)) % 239.42/239.78 (define @t498 () (and @t350 @t349)) % 239.42/239.78 (assume @p1 (forall @t3 (=> @t2 true))) % 239.42/239.78 (assume @p2 @t4) % 239.42/239.78 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 239.42/239.78 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 239.42/239.78 (assume @p5 @t13) % 239.42/239.78 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t14)))) % 239.42/239.78 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t7 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 239.42/239.78 (assume @p8 @t24) % 239.42/239.78 (assume @p9 @t27) % 239.42/239.78 (assume @p10 @t29) % 239.42/239.78 (assume @p11 @t34) % 239.42/239.78 (assume @p12 @t39) % 239.42/239.78 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t41)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t25 @t40)))))) % 239.42/239.78 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t7 @t44) (= @t14 @t43)) @t42)))) % 239.42/239.78 (assume @p15 @t56) % 239.42/239.78 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t52 @t57))))) % 239.42/239.78 (assume @p17 @t61) % 239.42/239.78 (assume @p18 (forall @t10 (=> @t9 (= @t64 (exists @t63 @t62))))) % 239.42/239.78 (assume @p19 (forall @t10 (=> @t9 (=> @t64 (forall @t63 (= (= @t15 (tptp.sdtmndt0 @t6 @t1)) @t62)))))) % 239.42/239.78 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 239.42/239.78 (assume @p21 (forall @t10 (=> @t9 (=> (and @t64 @t66) @t65)))) % 239.42/239.78 (assume @p22 (forall @t19 (=> @t18 (=> (and @t64 @t67) (tptp.sdtlseqdt0 @t1 @t15))))) % 239.42/239.78 (assume @p23 (forall @t10 (=> @t9 (or @t64 (and (not @t68) @t66))))) % 239.42/239.78 (assume @p24 (forall @t10 (=> @t9 (=> @t71 (forall @t63 (=> @t17 (and (not (= @t43 @t69)) (tptp.sdtlseqdt0 @t43 @t69) (not (= @t44 @t16)) (tptp.sdtlseqdt0 @t44 @t16)))))))) % 239.42/239.78 (assume @p25 (forall @t19 (=> @t18 (=> (and @t53 (not @t42) @t67) (and @t73 (tptp.sdtlseqdt0 @t11 @t41) @t72 (tptp.sdtlseqdt0 @t25 @t40)))))) % 239.42/239.78 (assume @p26 (forall @t3 (=> @t2 (or @t52 @t74 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 239.42/239.78 (assume @p27 @t77) % 239.42/239.78 (assume @p28 (forall @t10 (=> @t9 (=> @t78 true)))) % 239.42/239.78 (assume @p29 @t80) % 239.42/239.78 (assume @p30 @t87) % 239.42/239.78 (assume @p31 @t94) % 239.42/239.78 (assume @p32 (forall @t19 (=> @t18 (=> (and @t84 (tptp.doDivides0 @t6 @t15)) @t95)))) % 239.42/239.78 (assume @p33 (forall @t19 (=> @t18 (=> (and @t84 @t95) @t96)))) % 239.42/239.78 (assume @p34 (forall @t19 (=> @t18 (=> (and @t84 @t96) @t95)))) % 239.42/239.78 (assume @p35 (forall @t10 (=> @t9 (=> (and @t84 @t97) @t64)))) % 239.42/239.78 (assume @p36 @t102) % 239.42/239.78 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t53 @t105 (forall @t104 (=> (and @t8 @t103) (or (= @t6 tptp.sz10) @t68)))))))) % 239.42/239.78 (assume @p38 (forall @t3 (=> (and @t2 @t53 @t105) (exists @t104 (and @t8 @t103 (tptp.isPrime0 @t6)))))) % 239.42/239.78 (assume @p39 @t113) % 239.42/239.78 (assume @p40 (and @t118 @t117 @t116 @t115 (not (= tptp.xm tptp.sz00)) (not @t114))) % 239.42/239.78 (assume @p41 @t144) % 239.42/239.78 (assume @p42 (= (tptp.sdtasdt0 tptp.xp @t146) @t145)) % 239.42/239.78 (assume @p43 (and (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t104 (and @t8 (= tptp.xp @t11))) (tptp.doDivides0 @t1 tptp.xp))) (or @t74 (= @t1 tptp.xp)))) @t147)) % 239.42/239.78 (assume @p44 (and (exists @t3 (and @t2 (= @t145 @t149))) (tptp.doDivides0 tptp.xp @t145) @t152 @t148)) % 239.42/239.78 (assume @p45 (and @t156 (= tptp.xn @t155) @t154)) % 239.42/239.78 (assume @p46 @t159) % 239.42/239.78 (assume @p47 (not (and (not (= tptp.xm tptp.xn)) (or (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xn))) (tptp.sdtlseqdt0 tptp.xm tptp.xn))))) % 239.42/239.78 (assume @p48 true) % 239.42/239.78 (step @p49 :rule refl :args (tptp.xp)) % 239.42/239.78 (step @p50 :rule and_elim :premises (@p45) :args (1)) % 239.42/239.78 (step @p51 :rule cong :premises (@p50 @p49) :args (@t153)) % 239.42/239.78 (step @p52 :rule refl :args (tptp.xq)) % 239.42/239.78 (step @p53 :rule cong :premises (@p52 @p51) :args (@t154)) % 239.42/239.78 (step @p54 :rule and_elim :premises (@p45) :args (2)) % 239.42/239.78 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 239.42/239.78 (step @p56 :rule aci_norm :args ((= (or @t164 @t28) @t163))) % 239.42/239.78 (step @p57 :rule refl :args (@t28)) % 239.42/239.78 (step @p58 :rule aci_norm :args ((= (or @t162 @t165) @t164))) % 239.42/239.78 (step @p59 :rule bool-and-de-morgan :args (@t8 @t17 true)) % 239.42/239.78 (step @p60 :rule refl :args (@t162)) % 239.42/239.78 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t162 @t166))) % 239.42/239.78 (step @p62 :rule bool-and-de-morgan :args (@t2 @t8 (and @t17))) % 239.42/239.78 (step @p63 :rule trans :premises (@p62 @p61)) % 239.42/239.78 (step @p64 :rule trans :premises (@p63 @p58)) % 239.42/239.78 (step @p65 :rule nary_cong :premises (@p64 @p57) :args ((or @t167 @t28))) % 239.42/239.78 (step @p66 :rule trans :premises (@p65 @p56)) % 239.42/239.78 (step @p67 :rule bool-impl-elim :args (@t18 @t28)) % 239.42/239.78 (step @p68 :rule trans :premises (@p67 @p66)) % 239.42/239.78 (step @p69 :rule cong :premises (@p68) :args (@t29)) % 239.42/239.78 (step @p70 :rule eq_resolve :premises (@p10 @p69)) % 239.42/239.78 (step @p71 :rule eq-symm :args (@t168 @t158)) % 239.42/239.78 (step @p72 :rule refl :args (@t169)) % 239.42/239.78 (step @p73 :rule refl :args (@t170)) % 239.42/239.78 (step @p74 :rule nary_cong :premises (@p73 @p72 @p72 @p71) :args (@t171)) % 239.42/239.78 (step @p75 :rule refl :args (@t172)) % 239.42/239.78 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t172 @t171))) % 239.42/239.78 (assume-push @p1152 @t172) % 239.42/239.78 (step @p78 :rule instantiate :premises (@p70) :args ((@list tptp.xp tptp.xq tptp.xq))) % 239.42/239.78 (step-pop @p1153 :rule scope :premises (@p78)) % 239.42/239.78 (step @p79 :rule process_scope :premises (@p1153) :args (@t171)) % 239.42/239.78 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 239.42/239.78 (step @p82 :rule implies_elim :premises (@p81)) % 239.42/239.78 (step @p83 :rule chain_m_resolution :premises (@p82 @p70) :args (@t174 @t175 (@list @t172))) % 239.42/239.78 (step @p84 :rule and_elim :premises (@p45) :args (0)) % 239.42/239.78 (step @p85 :rule and_elim :premises (@p40) :args (2)) % 239.42/239.78 (step @p86 :rule cnf_or_pos :args (@t174)) % 239.42/239.78 (step @p87 :rule factoring :premises (@p86)) % 239.42/239.78 (step @p88 :rule reordering :premises (@p87) :args ((or @t170 @t169 @t173 (not @t174)))) % 239.42/239.78 (step @p89 :rule chain_m_resolution :premises (@p88 @p85 @p84 @p83) :args (@t173 @t176 (@list @t116 @t156 @t174))) % 239.42/239.78 (step @p90 :rule aci_norm :args ((= @t183 @t181))) % 239.42/239.78 (step @p91 :rule cong :premises (@p90) :args (@t185)) % 239.42/239.78 (step @p92 :rule quant-merge-prenex :args ((= (forall @t10 @t187) @t185))) % 239.42/239.78 (step @p93 :rule alpha_equiv :args (@t188 (@list @t177) @t189)) % 239.42/239.78 (step @p94 :rule refl :args (@t180)) % 239.42/239.78 (step @p95 :rule refl :args (@t52)) % 239.42/239.78 (step @p96 :rule refl :args (@t161)) % 239.42/239.78 (step @p97 :rule nary_cong :premises (@p60 @p96 @p95 @p94 @p93) :args (@t190)) % 239.42/239.78 (step @p98 :rule quant-miniscope-or :args ((= @t187 @t190))) % 239.42/239.78 (step @p99 :rule trans :premises (@p98 @p97)) % 239.42/239.78 (step @p100 :rule symm :premises (@p99)) % 239.42/239.78 (step @p101 :rule cong :premises (@p100) :args ((forall @t10 @t192))) % 239.42/239.78 (step @p102 :rule trans :premises (@p101 @p92)) % 239.42/239.78 (step @p103 :rule trans :premises (@p102 @p91)) % 239.42/239.78 (step @p104 :rule aci_norm :args ((= (or @t194 @t193) @t192))) % 239.42/239.78 (step @p105 :rule aci_norm :args ((= (or @t195 @t191) @t193))) % 239.42/239.78 (step @p106 :rule refl :args (@t191)) % 239.42/239.78 (step @p107 :rule bool-double-not-elim :args (@t52)) % 239.42/239.78 (step @p108 :rule nary_cong :premises (@p107 @p94) :args ((or @t196 @t180))) % 239.42/239.78 (step @p109 :rule bool-and-de-morgan :args (@t53 @t84 true)) % 239.42/239.78 (step @p110 :rule trans :premises (@p109 @p108)) % 239.42/239.78 (step @p111 :rule nary_cong :premises (@p110 @p106) :args ((or @t197 @t191))) % 239.42/239.78 (step @p112 :rule trans :premises (@p111 @p105)) % 239.42/239.78 (step @p113 :rule bool-impl-elim :args (@t91 @t191)) % 239.42/239.78 (step @p114 :rule trans :premises (@p113 @p112)) % 239.42/239.78 (step @p115 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 239.42/239.78 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t199 @t198))) % 239.42/239.78 (step @p117 :rule trans :premises (@p116 @p104)) % 239.42/239.78 (step @p118 :rule bool-impl-elim :args (@t9 @t198)) % 239.42/239.78 (step @p119 :rule trans :premises (@p118 @p117)) % 239.42/239.78 (step @p120 :rule cong :premises (@p119) :args ((forall @t10 (=> @t9 @t198)))) % 239.42/239.78 (step @p121 :rule trans :premises (@p120 @p103)) % 239.42/239.78 (step @p122 :rule bool-impl-elim :args (@t17 @t98)) % 239.42/239.78 (step @p123 :rule cong :premises (@p122) :args (@t99)) % 239.42/239.78 (step @p124 :rule refl :args (@t91)) % 239.42/239.78 (step @p125 :rule cong :premises (@p124 @p123) :args (@t100)) % 239.42/239.78 (step @p126 :rule refl :args (@t9)) % 239.42/239.78 (step @p127 :rule cong :premises (@p126 @p125) :args (@t101)) % 239.42/239.78 (step @p128 :rule cong :premises (@p127) :args (@t102)) % 239.42/239.78 (step @p129 :rule trans :premises (@p128 @p121)) % 239.42/239.78 (step @p130 :rule eq_resolve :premises (@p36 @p129)) % 239.42/239.78 (step @p131 :rule refl :args (@t203)) % 239.42/239.78 (step @p132 :rule refl :args (@t205)) % 239.42/239.78 (step @p133 :rule eq-symm :args (tptp.xp tptp.sz00)) % 239.42/239.78 (step @p134 :rule refl :args (@t207)) % 239.42/239.78 (step @p135 :rule nary_cong :premises (@p73 @p134 @p133 @p132 @p72 @p131) :args (@t208)) % 239.42/239.78 (step @p136 :rule refl :args (@t209)) % 239.42/239.78 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t209 @t208))) % 239.42/239.78 (assume-push @p1154 @t209) % 239.42/239.78 (step @p139 :rule instantiate :premises (@p130) :args ((@list tptp.xp @t155 tptp.xq))) % 239.42/239.78 (step-pop @p1155 :rule scope :premises (@p139)) % 239.42/239.78 (step @p140 :rule process_scope :premises (@p1155) :args (@t208)) % 239.42/239.78 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 239.42/239.78 (step @p143 :rule implies_elim :premises (@p142)) % 239.42/239.78 (step @p144 :rule chain_m_resolution :premises (@p143 @p130) :args (@t211 @t175 @t212)) % 239.42/239.78 (step @p145 :rule cong :premises (@p49 @p50) :args (@t148)) % 239.42/239.78 (step @p146 :rule and_elim :premises (@p44) :args (3)) % 239.42/239.78 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 239.42/239.78 (step @p148 :rule cong :premises (@p50) :args (@t118)) % 239.42/239.78 (step @p149 :rule and_elim :premises (@p40) :args (0)) % 239.42/239.78 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 239.42/239.78 (step @p151 :rule and_elim :premises (@p40) :args (5)) % 239.42/239.78 (step @p152 :rule symm :premises (@p151)) % 239.42/239.78 (step @p153 :rule cnf_or_pos :args (@t211)) % 239.42/239.78 (step @p154 :rule reordering :premises (@p153) :args ((or @t210 @t207 @t170 @t205 @t169 @t203 (not @t211)))) % 239.42/239.78 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p150 @p85 @p147 @p84 @p144) :args (@t203 (@list true false false false false false) (@list @t210 @t206 @t116 @t204 @t156 @t211))) % 239.42/239.78 (step @p156 :rule aci_norm :args ((= (or @t194 @t26) @t213))) % 239.42/239.78 (step @p157 :rule refl :args (@t26)) % 239.42/239.78 (step @p158 :rule nary_cong :premises (@p115 @p157) :args ((or @t199 @t26))) % 239.42/239.78 (step @p159 :rule trans :premises (@p158 @p156)) % 239.42/239.78 (step @p160 :rule bool-impl-elim :args (@t9 @t26)) % 239.42/239.78 (step @p161 :rule trans :premises (@p160 @p159)) % 239.42/239.78 (step @p162 :rule cong :premises (@p161) :args (@t27)) % 239.42/239.78 (step @p163 :rule eq_resolve :premises (@p9 @p162)) % 239.42/239.78 (step @p164 :rule eq-symm :args (@t168 @t200)) % 239.42/239.78 (step @p165 :rule nary_cong :premises (@p134 @p72 @p164) :args (@t214)) % 239.42/239.78 (step @p166 :rule refl :args (@t215)) % 239.42/239.78 (step @p167 :rule cong :premises (@p166 @p165) :args ((=> @t215 @t214))) % 239.42/239.78 (assume-push @p1156 @t215) % 239.42/239.78 (step @p169 :rule instantiate :premises (@p163) :args ((@list @t155 tptp.xq))) % 239.42/239.78 (step-pop @p1157 :rule scope :premises (@p169)) % 239.42/239.78 (step @p170 :rule process_scope :premises (@p1157) :args (@t214)) % 239.42/239.78 (step @p172 :rule eq_resolve :premises (@p170 @p167)) % 239.42/239.78 (step @p173 :rule implies_elim :premises (@p172)) % 239.42/239.78 (step @p174 :rule chain_m_resolution :premises (@p173 @p163) :args (@t217 @t175 (@list @t215))) % 239.42/239.78 (step @p175 :rule cnf_or_pos :args (@t217)) % 239.42/239.78 (step @p176 :rule reordering :premises (@p175) :args ((or @t207 @t169 @t216 (not @t217)))) % 239.42/239.78 (step @p177 :rule chain_m_resolution :premises (@p176 @p150 @p84 @p174) :args (@t216 @t176 (@list @t206 @t156 @t217))) % 239.42/239.78 (step @p178 :rule aci_norm :args ((= (or @t194 @t12) (or @t162 @t161 @t12)))) % 239.42/239.78 (step @p179 :rule refl :args (@t12)) % 239.42/239.78 (step @p180 :rule nary_cong :premises (@p115 @p179) :args ((or @t199 @t12))) % 239.42/239.78 (step @p181 :rule trans :premises (@p180 @p178)) % 239.42/239.78 (step @p182 :rule bool-impl-elim :args (@t9 @t12)) % 239.42/239.78 (step @p183 :rule trans :premises (@p182 @p181)) % 239.42/239.78 (step @p184 :rule cong :premises (@p183) :args (@t13)) % 239.42/239.78 (step @p185 :rule eq_resolve :premises (@p5 @p184)) % 239.42/239.78 (step @p186 :rule instantiate :premises (@p185) :args (@t218)) % 239.42/239.78 (step @p187 :rule cnf_or_pos :args (@t220)) % 239.42/239.78 (step @p188 :rule factoring :premises (@p187)) % 239.42/239.78 (step @p189 :rule reordering :premises (@p188) :args ((or @t169 @t219 (not @t220)))) % 239.42/239.78 (step @p190 :rule chain_m_resolution :premises (@p189 @p84 @p186) :args (@t219 @t221 (@list @t156 @t220))) % 239.42/239.78 (step @p191 :rule aci_norm :args ((= (or @t222 false) @t222))) % 239.42/239.78 (step @p192 :rule evaluate :args ((not true))) % 239.42/239.78 (step @p193 :rule eq-refl :args (@t158)) % 239.42/239.78 (step @p194 :rule cong :premises (@p193) :args (@t223)) % 239.42/239.78 (step @p195 :rule trans :premises (@p194 @p192)) % 239.42/239.78 (step @p196 :rule refl :args (@t222)) % 239.42/239.78 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t224)) % 239.42/239.78 (step @p198 :rule trans :premises (@p197 @p191)) % 239.42/239.78 (step @p199 :rule refl :args (@t225)) % 239.42/239.78 (step @p200 :rule cong :premises (@p199 @p198) :args ((=> @t225 @t224))) % 239.42/239.78 (assume-push @p1158 @t225) % 239.42/239.78 (step @p202 :rule instantiate :premises (@p1158) :args ((@list @t157))) % 239.42/239.78 (step-pop @p1159 :rule scope :premises (@p202)) % 239.42/239.78 (step @p203 :rule process_scope :premises (@p1159) :args (@t224)) % 239.42/239.78 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 239.42/239.78 (step @p206 :rule implies_elim :premises (@p205)) % 239.42/239.78 (step @p207 :rule reordering :premises (@p206) :args ((or @t222 @t226))) % 239.42/239.78 (step @p208 :rule chain_m_resolution :premises (@p207 @p190) :args (@t226 @t175 (@list @t219))) % 239.42/239.78 (step @p209 :rule refl :args (@t232)) % 239.42/239.78 (step @p210 :rule bool-double-not-elim :args (@t225)) % 239.42/239.78 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t233 @t232))) % 239.42/239.78 (assume-push @p1160 @t226) % 239.42/239.78 (step @p213 :rule skolemize :premises (@p1160)) % 239.42/239.78 (step-pop @p1161 :rule scope :premises (@p213)) % 239.42/239.78 (step @p214 :rule process_scope :premises (@p1161) :args (@t232)) % 239.42/239.78 (step @p216 :rule implies_elim :premises (@p214)) % 239.42/239.78 (step @p217 :rule eq_resolve :premises (@p216 @p211)) % 239.42/239.78 (step @p218 :rule chain_m_resolution :premises (@p217 @p208) :args (@t232 @t234 (@list @t225))) % 239.42/239.78 (step @p219 :rule bool-double-not-elim :args (@t229)) % 239.42/239.78 (step @p220 :rule refl :args (@t231)) % 239.42/239.78 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t231 (not @t230)))) % 239.42/239.78 (step @p222 :rule cnf_or_neg :args (@t231 1)) % 239.42/239.78 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 239.42/239.78 (step @p224 :rule reordering :premises (@p223) :args ((or @t229 @t231))) % 239.42/239.78 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t229 @t234 (@list @t231))) % 239.42/239.78 (step @p226 :rule refl :args (@t237)) % 239.42/239.78 (step @p227 :rule refl :args (@t238)) % 239.42/239.78 (step @p228 :rule refl :args (@t240)) % 239.42/239.78 (step @p229 :rule nary_cong :premises (@p73 @p227 @p133 @p228 @p227 @p226) :args (@t241)) % 239.42/239.78 (step @p230 :rule cong :premises (@p136 @p229) :args ((=> @t209 @t241))) % 239.42/239.78 (assume-push @p1162 @t209) % 239.42/239.78 (step @p232 :rule instantiate :premises (@p130) :args ((@list tptp.xp tptp.xm tptp.xm))) % 239.42/239.78 (step-pop @p1163 :rule scope :premises (@p232)) % 239.42/239.78 (step @p233 :rule process_scope :premises (@p1163) :args (@t241)) % 239.42/239.78 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 239.42/239.78 (step @p236 :rule implies_elim :premises (@p235)) % 239.42/239.78 (step @p237 :rule chain_m_resolution :premises (@p236 @p130) :args (@t242 @t175 @t212)) % 239.42/239.78 (step @p238 :rule aci_norm :args ((= (or @t164 @t245) (or @t162 @t161 @t160 @t244 @t243 @t107 @t106)))) % 239.42/239.78 (step @p239 :rule aci_norm :args ((= (or (or @t244 @t243) @t108) @t245))) % 239.42/239.78 (step @p240 :rule refl :args (@t108)) % 239.42/239.78 (step @p241 :rule bool-and-de-morgan :args (@t110 @t109 true)) % 239.42/239.78 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or (not @t111) @t108))) % 239.42/239.78 (step @p243 :rule trans :premises (@p242 @p239)) % 239.42/239.78 (step @p244 :rule bool-impl-elim :args (@t111 @t108)) % 239.42/239.78 (step @p245 :rule trans :premises (@p244 @p243)) % 239.42/239.78 (step @p246 :rule nary_cong :premises (@p64 @p245) :args ((or @t167 @t112))) % 239.42/239.78 (step @p247 :rule trans :premises (@p246 @p238)) % 239.42/239.78 (step @p248 :rule bool-impl-elim :args (@t18 @t112)) % 239.42/239.78 (step @p249 :rule trans :premises (@p248 @p247)) % 239.42/239.78 (step @p250 :rule cong :premises (@p249) :args (@t113)) % 239.42/239.78 (step @p251 :rule eq_resolve :premises (@p39 @p250)) % 239.42/239.78 (step @p252 :rule instantiate :premises (@p251) :args ((@list tptp.xm tptp.xm tptp.xp))) % 239.42/239.78 (step @p253 :rule aci_norm :args ((= (or @t194 @t246) (or @t162 @t161 @t246)))) % 239.42/239.78 (step @p254 :rule refl :args (@t246)) % 239.42/239.78 (step @p255 :rule nary_cong :premises (@p115 @p254) :args ((or @t199 @t246))) % 239.42/239.78 (step @p256 :rule trans :premises (@p255 @p253)) % 239.42/239.78 (step @p257 :rule bool-impl-elim :args (@t9 @t246)) % 239.42/239.78 (step @p258 :rule trans :premises (@p257 @p256)) % 239.42/239.78 (step @p259 :rule cong :premises (@p258) :args ((forall @t10 (=> @t9 @t246)))) % 239.42/239.78 (step @p260 :rule bool-and-de-morgan :args (@t17 @t81 true)) % 239.42/239.78 (step @p261 :rule cong :premises (@p260) :args (@t247)) % 239.42/239.78 (step @p262 :rule cong :premises (@p261) :args (@t248)) % 239.42/239.78 (step @p263 :rule exists-elim :args ((= @t83 @t248))) % 239.42/239.78 (step @p264 :rule trans :premises (@p263 @p262)) % 239.42/239.78 (step @p265 :rule refl :args (@t84)) % 239.42/239.78 (step @p266 :rule cong :premises (@p265 @p264) :args (@t85)) % 239.42/239.78 (step @p267 :rule cong :premises (@p126 @p266) :args (@t86)) % 239.42/239.78 (step @p268 :rule cong :premises (@p267) :args (@t87)) % 239.42/239.78 (step @p269 :rule trans :premises (@p268 @p259)) % 239.42/239.78 (step @p270 :rule eq_resolve :premises (@p30 @p269)) % 239.42/239.78 (step @p271 :rule instantiate :premises (@p270) :args ((@list tptp.xp @t158))) % 239.42/239.78 (step @p272 :rule instantiate :premises (@p185) :args ((@list tptp.xp @t157))) % 239.42/239.78 (step @p273 :rule cnf_or_pos :args (@t250)) % 239.42/239.78 (step @p274 :rule reordering :premises (@p273) :args ((or @t170 @t222 @t249 (not @t250)))) % 239.42/239.78 (step @p275 :rule chain_m_resolution :premises (@p274 @p85 @p190 @p272) :args (@t249 @t176 (@list @t116 @t219 @t250))) % 239.42/239.78 (step @p276 :rule cnf_or_pos :args (@t254)) % 239.42/239.78 (step @p277 :rule reordering :premises (@p276) :args ((or @t170 @t253 @t252 (not @t254)))) % 239.42/239.78 (step @p278 :rule chain_m_resolution :premises (@p277 @p85 @p275 @p271) :args (@t252 @t176 (@list @t116 @t249 @t254))) % 239.42/239.78 (step @p279 :rule refl :args (@t251)) % 239.42/239.78 (step @p280 :rule refl :args (@t255)) % 239.42/239.78 (step @p281 :rule nary_cong :premises (@p280 @p279 @p210) :args ((or @t255 @t251 @t233))) % 239.42/239.78 (step @p282 :rule cnf_equiv_pos2 :args (@t252)) % 239.42/239.78 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 239.42/239.78 (step @p284 :rule reordering :premises (@p283) :args ((or @t251 @t225 @t255))) % 239.42/239.78 (step @p285 :rule chain_m_resolution :premises (@p284 @p208 @p278) :args (@t251 @t256 (@list @t225 @t252))) % 239.42/239.78 (assume-push @p1164 @t159) % 239.42/239.78 (assume-push @p1165 @t251) % 239.42/239.78 (assume-push @p1166 @t251) % 239.42/239.78 (assume-push @p1167 @t159) % 239.42/239.78 (step @p290 :rule true_intro :premises (@p1165)) % 239.42/239.78 (step @p291 :rule cong :premises (@p49 @p46) :args (@t257)) % 239.42/239.78 (step @p292 :rule trans :premises (@p291 @p290)) % 239.42/239.78 (step @p293 :rule true_elim :premises (@p292)) % 239.42/239.78 (step-pop @p1168 :rule scope :premises (@p293)) % 239.42/239.78 (step-pop @p1169 :rule scope :premises (@p1168)) % 239.42/239.78 (step @p294 :rule process_scope :premises (@p1169) :args (@t257)) % 239.42/239.78 (step @p297 :rule and_intro :premises (@p1165 @p46)) % 239.42/239.78 (step @p298 :rule modus_ponens :premises (@p297 @p294)) % 239.42/239.78 (step-pop @p1170 :rule scope :premises (@p298)) % 239.42/239.78 (step-pop @p1171 :rule scope :premises (@p1170)) % 239.42/239.78 (step @p299 :rule process_scope :premises (@p1171) :args (@t257)) % 239.42/239.78 (step @p302 :rule implies_elim :premises (@p299)) % 239.42/239.78 (step @p303 :rule cnf_and_neg :args (@t258)) % 239.42/239.78 (step @p304 :rule resolution :premises (@p303 @p302) :args (true @t258)) % 239.42/239.78 (step @p305 :rule chain_m_resolution :premises (@p304 @p46 @p285) :args (@t257 @t221 (@list @t159 @t251))) % 239.42/239.78 (step @p306 :rule and_elim :premises (@p43) :args (2)) % 239.42/239.78 (step @p307 :rule and_elim :premises (@p40) :args (1)) % 239.42/239.78 (step @p308 :rule cnf_or_pos :args (@t261)) % 239.42/239.78 (step @p309 :rule factoring :premises (@p308)) % 239.42/239.78 (step @p310 :rule reordering :premises (@p309) :args ((or @t238 @t170 @t260 @t259 @t239 (not @t261)))) % 239.42/239.78 (step @p311 :rule chain_m_resolution :premises (@p310 @p307 @p85 @p306 @p305 @p252) :args (@t239 (@list false false false false false) (@list @t117 @t116 @t147 @t257 @t261))) % 239.42/239.78 (step @p312 :rule cnf_or_pos :args (@t242)) % 239.42/239.78 (step @p313 :rule factoring :premises (@p312)) % 239.42/239.78 (step @p314 :rule reordering :premises (@p313) :args ((or @t210 @t238 @t170 @t240 @t237 (not @t242)))) % 239.42/239.78 (step @p315 :rule chain_m_resolution :premises (@p314 @p152 @p307 @p85 @p311 @p237) :args (@t237 @t262 (@list @t210 @t117 @t116 @t239 @t242))) % 239.42/239.78 (step @p316 :rule eq-symm :args (@t263 @t88)) % 239.42/239.78 (step @p317 :rule refl :args (@t264)) % 239.42/239.78 (step @p318 :rule cong :premises (@p317 @p316) :args (@t265)) % 239.42/239.78 (step @p319 :rule refl :args (@t180)) % 239.42/239.78 (step @p320 :rule refl :args (@t52)) % 239.42/239.78 (step @p321 :rule refl :args (@t161)) % 239.42/239.78 (step @p322 :rule refl :args (@t162)) % 239.42/239.78 (step @p323 :rule nary_cong :premises (@p322 @p321 @p320 @p319 @p318) :args (@t266)) % 239.42/239.78 (step @p324 :rule cong :premises (@p323) :args (@t268)) % 239.42/239.78 (step @p325 :rule quant-merge-prenex :args ((= (forall @t10 @t270) @t268))) % 239.42/239.78 (step @p326 :rule alpha_equiv :args (@t271 (@list @t263) @t189)) % 239.42/239.78 (step @p327 :rule nary_cong :premises (@p60 @p96 @p95 @p94 @p326) :args (@t272)) % 239.42/239.78 (step @p328 :rule quant-miniscope-or :args ((= @t270 @t272))) % 239.42/239.78 (step @p329 :rule trans :premises (@p328 @p327)) % 239.42/239.78 (step @p330 :rule symm :premises (@p329)) % 239.42/239.78 (step @p331 :rule cong :premises (@p330) :args ((forall @t10 @t274))) % 239.42/239.78 (step @p332 :rule trans :premises (@p331 @p325)) % 239.42/239.78 (step @p333 :rule trans :premises (@p332 @p324)) % 239.42/239.78 (step @p334 :rule aci_norm :args ((= (or @t194 @t275) @t274))) % 239.42/239.78 (step @p335 :rule aci_norm :args ((= (or @t195 @t273) @t275))) % 239.42/239.78 (step @p336 :rule refl :args (@t273)) % 239.42/239.78 (step @p337 :rule nary_cong :premises (@p110 @p336) :args ((or @t197 @t273))) % 239.42/239.78 (step @p338 :rule trans :premises (@p337 @p335)) % 239.42/239.78 (step @p339 :rule bool-impl-elim :args (@t91 @t273)) % 239.42/239.78 (step @p340 :rule trans :premises (@p339 @p338)) % 239.42/239.78 (step @p341 :rule nary_cong :premises (@p115 @p340) :args ((or @t199 @t276))) % 239.42/239.78 (step @p342 :rule trans :premises (@p341 @p334)) % 239.42/239.78 (step @p343 :rule bool-impl-elim :args (@t9 @t276)) % 239.42/239.78 (step @p344 :rule trans :premises (@p343 @p342)) % 239.42/239.78 (step @p345 :rule cong :premises (@p344) :args ((forall @t10 (=> @t9 @t276)))) % 239.42/239.78 (step @p346 :rule trans :premises (@p345 @p333)) % 239.42/239.78 (step @p347 :rule eq-symm :args (@t89 @t82)) % 239.42/239.78 (step @p348 :rule cong :premises (@p347) :args (@t90)) % 239.42/239.78 (step @p349 :rule cong :premises (@p124 @p348) :args (@t92)) % 239.42/239.78 (step @p350 :rule cong :premises (@p126 @p349) :args (@t93)) % 239.42/239.78 (step @p351 :rule cong :premises (@p350) :args (@t94)) % 239.42/239.78 (step @p352 :rule trans :premises (@p351 @p346)) % 239.42/239.78 (step @p353 :rule eq_resolve :premises (@p31 @p352)) % 239.42/239.78 (step @p354 :rule bool-eq-true :args (@t280)) % 239.42/239.78 (step @p355 :rule eq-symm :args (true @t280)) % 239.42/239.78 (step @p356 :rule trans :premises (@p355 @p354)) % 239.42/239.78 (step @p357 :rule refl :args (@t280)) % 239.42/239.78 (step @p358 :rule eq-refl :args (@t235)) % 239.42/239.78 (step @p359 :rule cong :premises (@p358 @p357) :args ((= @t281 @t280))) % 239.42/239.78 (step @p360 :rule trans :premises (@p359 @p356)) % 239.42/239.78 (step @p361 :rule eq-symm :args (@t280 @t281)) % 239.42/239.78 (step @p362 :rule trans :premises (@p361 @p360)) % 239.42/239.78 (step @p363 :rule nary_cong :premises (@p73 @p227 @p133 @p228 @p362) :args (@t282)) % 239.42/239.78 (step @p364 :rule refl :args (@t283)) % 239.42/239.78 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t283 @t282))) % 239.42/239.78 (assume-push @p1172 @t283) % 239.42/239.78 (step @p367 :rule instantiate :premises (@p353) :args ((@list tptp.xp tptp.xm @t235))) % 239.42/239.78 (step-pop @p1173 :rule scope :premises (@p367)) % 239.42/239.78 (step @p368 :rule process_scope :premises (@p1173) :args (@t282)) % 239.42/239.78 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 239.42/239.78 (step @p371 :rule implies_elim :premises (@p370)) % 239.42/239.78 (step @p372 :rule chain_m_resolution :premises (@p371 @p353) :args (@t284 @t175 @t285)) % 239.42/239.78 (step @p373 :rule cnf_or_pos :args (@t284)) % 239.42/239.78 (step @p374 :rule reordering :premises (@p373) :args ((or @t210 @t238 @t170 @t240 @t280 (not @t284)))) % 239.42/239.78 (step @p375 :rule chain_m_resolution :premises (@p374 @p152 @p307 @p85 @p311 @p372) :args (@t280 @t262 (@list @t210 @t117 @t116 @t239 @t284))) % 239.42/239.78 (step @p376 :rule cnf_and_pos :args (@t280 1)) % 239.42/239.78 (step @p377 :rule reordering :premises (@p376) :args ((or @t278 @t286))) % 239.42/239.78 (step @p378 :rule chain_m_resolution :premises (@p377 @p375) :args (@t278 @t175 @t287)) % 239.42/239.78 (step @p379 :rule instantiate :premises (@p70) :args ((@list tptp.xp @t235 @t235))) % 239.42/239.78 (step @p380 :rule cnf_and_pos :args (@t280 0)) % 239.42/239.78 (step @p381 :rule reordering :premises (@p380) :args ((or @t279 @t286))) % 239.42/239.78 (step @p382 :rule chain_m_resolution :premises (@p381 @p375) :args (@t279 @t175 @t287)) % 239.42/239.78 (step @p383 :rule cnf_or_pos :args (@t292)) % 239.42/239.78 (step @p384 :rule factoring :premises (@p383)) % 239.42/239.78 (step @p385 :rule reordering :premises (@p384) :args ((or @t170 @t291 @t290 (not @t292)))) % 239.42/239.78 (step @p386 :rule chain_m_resolution :premises (@p385 @p85 @p382 @p379) :args (@t290 @t176 (@list @t116 @t279 @t292))) % 239.42/239.78 (step @p387 :rule refl :args (@t306)) % 239.42/239.78 (step @p388 :rule refl :args (@t1)) % 239.42/239.78 (step @p389 :rule cong :premises (@p388 @p50) :args (@t137)) % 239.42/239.78 (step @p390 :rule cong :premises (@p389) :args (@t307)) % 239.42/239.78 (step @p391 :rule refl :args (@t308)) % 239.42/239.78 (step @p392 :rule refl :args (@t309)) % 239.42/239.78 (step @p393 :rule refl :args (@t310)) % 239.42/239.78 (step @p394 :rule refl :args (@t160)) % 239.42/239.78 (step @p395 :rule nary_cong :premises (@p322 @p321 @p394 @p320 @p393 @p392 @p391 @p390 @p387) :args (@t311)) % 239.42/239.78 (step @p396 :rule cong :premises (@p395) :args ((forall @t19 @t311))) % 239.42/239.78 (step @p397 :rule aci_norm :args ((= (or (or @t162 @t161 @t160 @t52 @t310 @t309) @t312) @t311))) % 239.42/239.78 (step @p398 :rule aci_norm :args ((= (or @t308 (or @t307 @t306)) @t312))) % 239.42/239.78 (step @p399 :rule refl :args (@t244)) % 239.42/239.78 (step @p400 :rule refl :args (@t304)) % 239.42/239.78 (step @p401 :rule bool-double-not-elim :args (@t305)) % 239.42/239.78 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t313) @t304))) % 239.42/239.78 (step @p403 :rule bool-and-de-morgan :args (@t313 @t303 true)) % 239.42/239.78 (step @p404 :rule trans :premises (@p403 @p402)) % 239.42/239.78 (step @p405 :rule nary_cong :premises (@p404 @p399) :args ((and (not @t314) @t244))) % 239.42/239.78 (step @p406 :rule bool-or-de-morgan :args (@t314 @t110 false)) % 239.42/239.78 (step @p407 :rule trans :premises (@p406 @p405)) % 239.42/239.78 (step @p408 :rule refl :args (@t307)) % 239.42/239.78 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t307 @t315))) % 239.42/239.78 (step @p410 :rule bool-impl-elim :args (@t137 @t315)) % 239.42/239.78 (step @p411 :rule trans :premises (@p410 @p409)) % 239.42/239.78 (step @p412 :rule refl :args (@t308)) % 239.42/239.78 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t308 @t316))) % 239.42/239.78 (step @p414 :rule trans :premises (@p413 @p398)) % 239.42/239.78 (step @p415 :rule bool-impl-elim :args (@t139 @t316)) % 239.42/239.78 (step @p416 :rule trans :premises (@p415 @p414)) % 239.42/239.78 (step @p417 :rule bool-double-not-elim :args (@t309)) % 239.42/239.78 (step @p418 :rule bool-double-not-elim :args (@t310)) % 239.42/239.78 (step @p419 :rule refl :args (@t160)) % 239.42/239.78 (step @p420 :rule nary_cong :premises (@p60 @p96 @p419 @p107 @p418 @p417) :args (@t321)) % 239.42/239.78 (step @p421 :rule aci_norm :args ((= (or @t162 (or @t161 (or @t160 (or @t196 (or @t320 @t318))))) @t321))) % 239.42/239.78 (step @p422 :rule trans :premises (@p421 @p420)) % 239.42/239.78 (step @p423 :rule bool-and-de-morgan :args (@t319 @t317 true)) % 239.42/239.78 (step @p424 :rule refl :args (@t196)) % 239.42/239.78 (step @p425 :rule nary_cong :premises (@p424 @p423) :args ((or @t196 (not (and @t319 @t317))))) % 239.42/239.78 (step @p426 :rule bool-and-de-morgan :args (@t53 @t319 (and @t317))) % 239.42/239.78 (step @p427 :rule trans :premises (@p426 @p425)) % 239.42/239.78 (step @p428 :rule nary_cong :premises (@p419 @p427) :args ((or @t160 (not (and @t53 @t319 @t317))))) % 239.42/239.78 (step @p429 :rule bool-and-de-morgan :args (@t17 @t53 (and @t319 @t317))) % 239.42/239.78 (step @p430 :rule trans :premises (@p429 @p428)) % 239.42/239.78 (step @p431 :rule nary_cong :premises (@p96 @p430) :args ((or @t161 (not (and @t17 @t53 @t319 @t317))))) % 239.42/239.78 (step @p432 :rule bool-and-de-morgan :args (@t8 @t17 (and @t53 @t319 @t317))) % 239.42/239.78 (step @p433 :rule trans :premises (@p432 @p431)) % 239.42/239.78 (step @p434 :rule nary_cong :premises (@p60 @p433) :args ((or @t162 (not (and @t8 @t17 @t53 @t319 @t317))))) % 239.42/239.78 (step @p435 :rule bool-and-de-morgan :args (@t2 @t8 (and @t17 @t53 @t319 @t317))) % 239.42/239.78 (step @p436 :rule trans :premises (@p435 @p434)) % 239.42/239.78 (step @p437 :rule trans :premises (@p436 @p422)) % 239.42/239.78 (step @p438 :rule nary_cong :premises (@p437 @p416) :args ((or (not @t323) @t322))) % 239.42/239.78 (step @p439 :rule trans :premises (@p438 @p397)) % 239.42/239.78 (step @p440 :rule bool-impl-elim :args (@t323 @t322)) % 239.42/239.78 (step @p441 :rule trans :premises (@p440 @p439)) % 239.42/239.78 (step @p442 :rule cong :premises (@p441) :args ((forall @t19 (=> @t323 @t322)))) % 239.42/239.78 (step @p443 :rule refl :args (@t110)) % 239.42/239.78 (step @p444 :rule aci_norm :args ((= @t325 @t301))) % 239.42/239.78 (step @p445 :rule cong :premises (@p444) :args (@t326)) % 239.42/239.78 (step @p446 :rule quant-merge-prenex :args ((= (forall @t131 @t328) @t326))) % 239.42/239.78 (step @p447 :rule refl :args (@t297)) % 239.42/239.78 (step @p448 :rule refl :args (@t298)) % 239.42/239.78 (step @p449 :rule refl :args (@t299)) % 239.42/239.78 (step @p450 :rule alpha_equiv :args (@t329 (@list @t293) (@list @t122))) % 239.42/239.78 (step @p451 :rule refl :args (@t300)) % 239.42/239.78 (step @p452 :rule nary_cong :premises (@p451 @p450 @p449 @p448 @p447) :args (@t330)) % 239.42/239.78 (step @p453 :rule quant-miniscope-or :args ((= @t328 @t330))) % 239.42/239.78 (step @p454 :rule trans :premises (@p453 @p452)) % 239.42/239.78 (step @p455 :rule symm :premises (@p454)) % 239.42/239.78 (step @p456 :rule cong :premises (@p455) :args ((forall @t131 @t332))) % 239.42/239.78 (step @p457 :rule trans :premises (@p456 @p446)) % 239.42/239.78 (step @p458 :rule trans :premises (@p457 @p445)) % 239.42/239.78 (step @p459 :rule aci_norm :args ((= (or (or @t300 @t331 @t299) @t333) @t332))) % 239.42/239.78 (step @p460 :rule refl :args (@t333)) % 239.42/239.78 (step @p461 :rule bool-double-not-elim :args (@t331)) % 239.42/239.78 (step @p462 :rule nary_cong :premises (@p451 @p461 @p449) :args (@t336)) % 239.42/239.78 (step @p463 :rule aci_norm :args ((= (or @t300 (or @t335 @t299)) @t336))) % 239.42/239.78 (step @p464 :rule trans :premises (@p463 @p462)) % 239.42/239.78 (step @p465 :rule bool-and-de-morgan :args (@t334 @t121 true)) % 239.42/239.78 (step @p466 :rule nary_cong :premises (@p451 @p465) :args ((or @t300 (not (and @t334 @t121))))) % 239.42/239.78 (step @p467 :rule bool-and-de-morgan :args (@t128 @t334 (and @t121))) % 239.42/239.78 (step @p468 :rule trans :premises (@p467 @p466)) % 239.42/239.78 (step @p469 :rule trans :premises (@p468 @p464)) % 239.42/239.78 (step @p470 :rule nary_cong :premises (@p469 @p460) :args ((or (not @t337) @t333))) % 239.42/239.78 (step @p471 :rule trans :premises (@p470 @p459)) % 239.42/239.78 (step @p472 :rule bool-impl-elim :args (@t337 @t333)) % 239.42/239.78 (step @p473 :rule trans :premises (@p472 @p471)) % 239.42/239.78 (step @p474 :rule cong :premises (@p473) :args ((forall @t131 (=> @t337 @t333)))) % 239.42/239.78 (step @p475 :rule trans :premises (@p474 @p458)) % 239.42/239.78 (step @p476 :rule eq-symm :args (@t119 @t15)) % 239.42/239.78 (step @p477 :rule eq-symm :args (@t119 tptp.sz10)) % 239.42/239.78 (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t120)) % 239.42/239.78 (step @p479 :rule refl :args (@t121)) % 239.42/239.78 (step @p480 :rule bool-and-de-morgan :args (@t124 @t123 true)) % 239.42/239.78 (step @p481 :rule cong :premises (@p480) :args (@t338)) % 239.42/239.78 (step @p482 :rule cong :premises (@p481) :args (@t339)) % 239.42/239.78 (step @p483 :rule exists-elim :args ((= @t127 @t339))) % 239.42/239.78 (step @p484 :rule trans :premises (@p483 @p482)) % 239.42/239.78 (step @p485 :rule refl :args (@t128)) % 239.42/239.78 (step @p486 :rule nary_cong :premises (@p485 @p484 @p479) :args (@t129)) % 239.42/239.78 (step @p487 :rule cong :premises (@p486 @p478) :args (@t130)) % 239.42/239.78 (step @p488 :rule cong :premises (@p487) :args (@t132)) % 239.42/239.78 (step @p489 :rule trans :premises (@p488 @p475)) % 239.42/239.78 (step @p490 :rule eq-symm :args (@t15 tptp.sz10)) % 239.42/239.78 (step @p491 :rule cong :premises (@p490) :args (@t133)) % 239.42/239.78 (step @p492 :rule nary_cong :premises (@p491 @p489) :args (@t134)) % 239.42/239.78 (step @p493 :rule nary_cong :premises (@p492 @p443) :args (@t135)) % 239.42/239.78 (step @p494 :rule cong :premises (@p493) :args (@t136)) % 239.42/239.78 (step @p495 :rule refl :args (@t137)) % 239.42/239.78 (step @p496 :rule cong :premises (@p495 @p494) :args (@t138)) % 239.42/239.78 (step @p497 :rule refl :args (@t139)) % 239.42/239.78 (step @p498 :rule cong :premises (@p497 @p496) :args (@t140)) % 239.42/239.78 (step @p499 :rule eq-symm :args (@t15 tptp.sz00)) % 239.42/239.78 (step @p500 :rule cong :premises (@p499) :args (@t141)) % 239.42/239.78 (step @p501 :rule eq-symm :args (@t6 tptp.sz00)) % 239.42/239.78 (step @p502 :rule cong :premises (@p501) :args (@t97)) % 239.42/239.78 (step @p503 :rule refl :args (@t53)) % 239.42/239.78 (step @p504 :rule refl :args (@t17)) % 239.42/239.78 (step @p505 :rule refl :args (@t8)) % 239.42/239.78 (step @p506 :rule refl :args (@t2)) % 239.42/239.78 (step @p507 :rule nary_cong :premises (@p506 @p505 @p504 @p503 @p502 @p500) :args (@t142)) % 239.42/239.78 (step @p508 :rule cong :premises (@p507 @p498) :args (@t143)) % 239.42/239.78 (step @p509 :rule cong :premises (@p508) :args (@t144)) % 239.42/239.78 (step @p510 :rule trans :premises (@p509 @p442)) % 239.42/239.78 (step @p511 :rule trans :premises (@p510 @p396)) % 239.42/239.78 (step @p512 :rule eq_resolve :premises (@p41 @p511)) % 239.42/239.78 (step @p513 :rule refl :args (@t341)) % 239.42/239.78 (step @p514 :rule refl :args (@t343)) % 239.42/239.78 (step @p515 :rule eq-symm :args (@t288 @t157)) % 239.42/239.78 (step @p516 :rule cong :premises (@p515) :args (@t344)) % 239.42/239.78 (step @p517 :rule refl :args (@t210)) % 239.42/239.78 (step @p518 :rule refl :args (@t345)) % 239.42/239.78 (step @p519 :rule eq-symm :args (tptp.xq tptp.sz00)) % 239.42/239.78 (step @p520 :rule refl :args (@t291)) % 239.42/239.78 (step @p521 :rule nary_cong :premises (@p72 @p520 @p73 @p519 @p518 @p517 @p516 @p514 @p513) :args (@t347)) % 239.42/239.78 (step @p522 :rule refl :args (@t348)) % 239.42/239.78 (step @p523 :rule cong :premises (@p522 @p521) :args ((=> @t348 @t347))) % 239.42/239.78 (assume-push @p1174 @t348) % 239.42/239.78 (step @p525 :rule instantiate :premises (@p512) :args ((@list tptp.xq @t235 tptp.xp))) % 239.42/239.78 (step-pop @p1175 :rule scope :premises (@p525)) % 239.42/239.78 (step @p526 :rule process_scope :premises (@p1175) :args (@t347)) % 239.42/239.78 (step @p528 :rule eq_resolve :premises (@p526 @p523)) % 239.42/239.78 (step @p529 :rule implies_elim :premises (@p528)) % 239.42/239.78 (step @p530 :rule chain_m_resolution :premises (@p529 @p512) :args (@t352 @t175 (@list @t348))) % 239.42/239.78 (step @p531 :rule bool-impl-elim :args (@t2 @t353)) % 239.42/239.78 (step @p532 :rule cong :premises (@p531) :args ((forall @t3 (=> @t2 @t353)))) % 239.42/239.78 (step @p533 :rule refl :args (@t35)) % 239.42/239.78 (step @p534 :rule eq-symm :args (@t36 tptp.sz00)) % 239.42/239.78 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t37)) % 239.42/239.78 (step @p536 :rule cong :premises (@p506 @p535) :args (@t38)) % 239.42/239.78 (step @p537 :rule cong :premises (@p536) :args (@t39)) % 239.42/239.78 (step @p538 :rule trans :premises (@p537 @p532)) % 239.42/239.78 (step @p539 :rule eq_resolve :premises (@p12 @p538)) % 239.42/239.78 (step @p540 :rule instantiate :premises (@p539) :args ((@list tptp.xm))) % 239.42/239.78 (step @p541 :rule cnf_or_pos :args (@t356)) % 239.42/239.78 (step @p542 :rule reordering :premises (@p541) :args ((or @t238 @t355 (not @t356)))) % 239.42/239.78 (step @p543 :rule chain_m_resolution :premises (@p542 @p307 @p540) :args (@t355 @t221 (@list @t117 @t356))) % 239.42/239.78 (step @p544 :rule cnf_and_pos :args (@t355 0)) % 239.42/239.78 (step @p545 :rule reordering :premises (@p544) :args ((or @t354 (not @t355)))) % 239.42/239.78 (step @p546 :rule chain_m_resolution :premises (@p545 @p543) :args (@t354 @t175 (@list @t355))) % 239.42/239.78 (step @p547 :rule bool-impl-elim :args (@t2 @t357)) % 239.42/239.78 (step @p548 :rule cong :premises (@p547) :args ((forall @t3 (=> @t2 @t357)))) % 239.42/239.78 (step @p549 :rule refl :args (@t20)) % 239.42/239.78 (step @p550 :rule eq-symm :args (@t21 @t1)) % 239.42/239.78 (step @p551 :rule nary_cong :premises (@p550 @p549) :args (@t22)) % 239.42/239.78 (step @p552 :rule cong :premises (@p506 @p551) :args (@t23)) % 239.42/239.78 (step @p553 :rule cong :premises (@p552) :args (@t24)) % 239.42/239.78 (step @p554 :rule trans :premises (@p553 @p548)) % 239.42/239.78 (step @p555 :rule eq_resolve :premises (@p8 @p554)) % 239.42/239.78 (step @p556 :rule aci_norm :args ((= @t359 @t358))) % 239.42/239.78 (step @p557 :rule refl :args (@t360)) % 239.42/239.78 (step @p558 :rule nary_cong :premises (@p557 @p556) :args (@t361)) % 239.42/239.78 (step @p559 :rule refl :args (@t362)) % 239.42/239.78 (step @p560 :rule cong :premises (@p559 @p558) :args ((=> @t362 @t361))) % 239.42/239.78 (assume-push @p1176 @t362) % 239.42/239.78 (step @p562 :rule instantiate :premises (@p555) :args ((@list tptp.sz00))) % 239.42/239.78 (step-pop @p1177 :rule scope :premises (@p562)) % 239.42/239.78 (step @p563 :rule process_scope :premises (@p1177) :args (@t361)) % 239.42/239.78 (step @p565 :rule eq_resolve :premises (@p563 @p560)) % 239.42/239.78 (step @p566 :rule implies_elim :premises (@p565)) % 239.42/239.78 (step @p567 :rule chain_m_resolution :premises (@p566 @p555) :args (@t363 @t175 (@list @t362))) % 239.42/239.78 (step @p568 :rule cnf_or_pos :args (@t363)) % 239.42/239.78 (step @p569 :rule reordering :premises (@p568) :args ((or @t360 @t358 (not @t363)))) % 239.42/239.78 (step @p570 :rule chain_m_resolution :premises (@p569 @p2 @p567) :args (@t358 @t221 (@list @t4 @t363))) % 239.42/239.78 (step @p571 :rule aci_norm :args ((= (or @t194 @t367) @t366))) % 239.42/239.78 (step @p572 :rule aci_norm :args ((= (or @t365 @t368) @t367))) % 239.42/239.78 (step @p573 :rule bool-impl-elim :args (@t364 @t368)) % 239.42/239.78 (step @p574 :rule trans :premises (@p573 @p572)) % 239.42/239.78 (step @p575 :rule nary_cong :premises (@p115 @p574) :args ((or @t199 @t369))) % 239.42/239.78 (step @p576 :rule trans :premises (@p575 @p571)) % 239.42/239.78 (step @p577 :rule bool-impl-elim :args (@t9 @t369)) % 239.42/239.78 (step @p578 :rule trans :premises (@p577 @p576)) % 239.42/239.78 (step @p579 :rule cong :premises (@p578) :args ((forall @t10 (=> @t9 @t369)))) % 239.42/239.78 (step @p580 :rule nary_cong :premises (@p320 @p501) :args (@t58)) % 239.42/239.78 (step @p581 :rule eq-symm :args (@t11 tptp.sz00)) % 239.42/239.78 (step @p582 :rule cong :premises (@p581 @p580) :args (@t59)) % 239.42/239.78 (step @p583 :rule cong :premises (@p126 @p582) :args (@t60)) % 239.42/239.78 (step @p584 :rule cong :premises (@p583) :args (@t61)) % 239.42/239.78 (step @p585 :rule trans :premises (@p584 @p579)) % 239.42/239.78 (step @p586 :rule eq_resolve :premises (@p17 @p585)) % 239.42/239.78 (step @p587 :rule refl :args (@t351)) % 239.42/239.78 (step @p588 :rule refl :args (@t371)) % 239.42/239.78 (step @p589 :rule nary_cong :premises (@p72 @p72 @p588 @p519 @p587) :args (@t372)) % 239.42/239.78 (step @p590 :rule refl :args (@t373)) % 239.42/239.78 (step @p591 :rule cong :premises (@p590 @p589) :args ((=> @t373 @t372))) % 239.42/239.78 (assume-push @p1178 @t373) % 239.42/239.78 (step @p593 :rule instantiate :premises (@p586) :args (@t218)) % 239.42/239.78 (step-pop @p1179 :rule scope :premises (@p593)) % 239.42/239.78 (step @p594 :rule process_scope :premises (@p1179) :args (@t372)) % 239.42/239.78 (step @p596 :rule eq_resolve :premises (@p594 @p591)) % 239.42/239.78 (step @p597 :rule implies_elim :premises (@p596)) % 239.42/239.78 (step @p598 :rule chain_m_resolution :premises (@p597 @p586) :args (@t374 @t175 (@list @t373))) % 239.42/239.78 (step @p599 :rule instantiate :premises (@p539) :args ((@list tptp.xp))) % 239.42/239.78 (step @p600 :rule cnf_or_pos :args (@t377)) % 239.42/239.78 (step @p601 :rule reordering :premises (@p600) :args ((or @t170 @t376 (not @t377)))) % 239.42/239.78 (step @p602 :rule chain_m_resolution :premises (@p601 @p85 @p599) :args (@t376 @t221 (@list @t116 @t377))) % 239.42/239.78 (step @p603 :rule cnf_and_pos :args (@t376 0)) % 239.42/239.78 (step @p604 :rule reordering :premises (@p603) :args ((or @t375 (not @t376)))) % 239.42/239.78 (step @p605 :rule chain_m_resolution :premises (@p604 @p602) :args (@t375 @t175 (@list @t376))) % 239.42/239.78 (step @p606 :rule eq-symm :args (@t202 @t155)) % 239.42/239.78 (step @p607 :rule refl :args (@t380)) % 239.42/239.78 (step @p608 :rule cong :premises (@p607 @p606) :args (@t381)) % 239.42/239.78 (step @p609 :rule nary_cong :premises (@p73 @p134 @p133 @p132 @p608) :args (@t382)) % 239.42/239.78 (step @p610 :rule cong :premises (@p364 @p609) :args ((=> @t283 @t382))) % 239.42/239.78 (assume-push @p1180 @t283) % 239.42/239.78 (step @p612 :rule instantiate :premises (@p353) :args ((@list tptp.xp @t155 @t155))) % 239.42/239.78 (step-pop @p1181 :rule scope :premises (@p612)) % 239.42/239.78 (step @p613 :rule process_scope :premises (@p1181) :args (@t382)) % 239.42/239.78 (step @p615 :rule eq_resolve :premises (@p613 @p610)) % 239.42/239.78 (step @p616 :rule implies_elim :premises (@p615)) % 239.42/239.78 (step @p617 :rule chain_m_resolution :premises (@p616 @p353) :args (@t385 @t175 @t285)) % 239.42/239.78 (step @p618 :rule cnf_or_pos :args (@t385)) % 239.42/239.78 (step @p619 :rule reordering :premises (@p618) :args ((or @t210 @t207 @t170 @t205 @t384 (not @t385)))) % 239.42/239.78 (step @p620 :rule chain_m_resolution :premises (@p619 @p152 @p150 @p85 @p147 @p617) :args (@t384 @t262 (@list @t210 @t206 @t116 @t204 @t385))) % 239.42/239.78 (step @p621 :rule aci_norm :args ((= @t394 @t392))) % 239.42/239.78 (step @p622 :rule cong :premises (@p621) :args (@t396)) % 239.42/239.78 (step @p623 :rule quant-merge-prenex :args ((= (forall @t3 @t398) @t396))) % 239.42/239.78 (step @p624 :rule alpha_equiv :args (@t399 (@list @t387 @t386) (@list @t6 @t15))) % 239.42/239.78 (step @p625 :rule nary_cong :premises (@p60 @p95 @p624) :args (@t400)) % 239.42/239.78 (step @p626 :rule quant-miniscope-or :args ((= @t398 @t400))) % 239.42/239.78 (step @p627 :rule trans :premises (@p626 @p625)) % 239.42/239.78 (step @p628 :rule symm :premises (@p627)) % 239.42/239.78 (step @p629 :rule cong :premises (@p628) :args ((forall @t3 @t404))) % 239.42/239.78 (step @p630 :rule trans :premises (@p629 @p623)) % 239.42/239.78 (step @p631 :rule trans :premises (@p630 @p622)) % 239.42/239.78 (step @p632 :rule aci_norm :args ((= (or @t162 (or @t52 @t403)) @t404))) % 239.42/239.78 (step @p633 :rule refl :args (@t403)) % 239.42/239.78 (step @p634 :rule nary_cong :premises (@p107 @p633) :args ((or @t196 @t403))) % 239.42/239.78 (step @p635 :rule bool-impl-elim :args (@t53 @t403)) % 239.42/239.78 (step @p636 :rule trans :premises (@p635 @p634)) % 239.42/239.78 (step @p637 :rule nary_cong :premises (@p60 @p636) :args ((or @t162 @t405))) % 239.42/239.78 (step @p638 :rule trans :premises (@p637 @p632)) % 239.42/239.78 (step @p639 :rule bool-impl-elim :args (@t2 @t405)) % 239.42/239.78 (step @p640 :rule trans :premises (@p639 @p638)) % 239.42/239.78 (step @p641 :rule cong :premises (@p640) :args ((forall @t3 (=> @t2 @t405)))) % 239.42/239.78 (step @p642 :rule trans :premises (@p641 @p631)) % 239.42/239.78 (step @p643 :rule aci_norm :args ((= (or @t165 (or @t401 @t42)) @t402))) % 239.42/239.78 (step @p644 :rule refl :args (@t42)) % 239.42/239.78 (step @p645 :rule bool-or-de-morgan :args (@t46 @t45 false)) % 239.42/239.78 (step @p646 :rule nary_cong :premises (@p645 @p644) :args ((or (not @t47) @t42))) % 239.42/239.78 (step @p647 :rule bool-impl-elim :args (@t47 @t42)) % 239.42/239.78 (step @p648 :rule trans :premises (@p647 @p646)) % 239.42/239.78 (step @p649 :rule nary_cong :premises (@p59 @p648) :args ((or @t166 @t48))) % 239.42/239.78 (step @p650 :rule trans :premises (@p649 @p643)) % 239.42/239.78 (step @p651 :rule bool-impl-elim :args (@t49 @t48)) % 239.42/239.78 (step @p652 :rule trans :premises (@p651 @p650)) % 239.42/239.78 (step @p653 :rule cong :premises (@p652) :args (@t51)) % 239.42/239.78 (step @p654 :rule cong :premises (@p503 @p653) :args (@t54)) % 239.42/239.78 (step @p655 :rule cong :premises (@p506 @p654) :args (@t55)) % 239.42/239.78 (step @p656 :rule cong :premises (@p655) :args (@t56)) % 239.42/239.78 (step @p657 :rule trans :premises (@p656 @p642)) % 239.42/239.78 (step @p658 :rule eq_resolve :premises (@p15 @p657)) % 239.42/239.78 (step @p659 :rule refl :args (@t340)) % 239.42/239.78 (step @p660 :rule eq-symm :args (@t406 @t378)) % 239.42/239.78 (step @p661 :rule cong :premises (@p660) :args (@t407)) % 239.42/239.78 (step @p662 :rule refl :args (@t409)) % 239.42/239.78 (step @p663 :rule nary_cong :premises (@p662 @p661) :args (@t410)) % 239.42/239.78 (step @p664 :rule refl :args (@t411)) % 239.42/239.78 (step @p665 :rule eq-symm :args (@t155 tptp.sz00)) % 239.42/239.78 (step @p666 :rule nary_cong :premises (@p134 @p665 @p664 @p73 @p663 @p659) :args (@t412)) % 239.42/239.78 (step @p667 :rule refl :args (@t413)) % 239.42/239.78 (step @p668 :rule cong :premises (@p667 @p666) :args ((=> @t413 @t412))) % 239.42/239.78 (assume-push @p1182 @t413) % 239.42/239.78 (step @p670 :rule instantiate :premises (@p658) :args ((@list @t155 tptp.sz10 tptp.xp))) % 239.42/239.78 (step-pop @p1183 :rule scope :premises (@p670)) % 239.42/239.78 (step @p671 :rule process_scope :premises (@p1183) :args (@t412)) % 239.42/239.78 (step @p673 :rule eq_resolve :premises (@p671 @p668)) % 239.42/239.78 (step @p674 :rule implies_elim :premises (@p673)) % 239.42/239.78 (step @p675 :rule chain_m_resolution :premises (@p674 @p658) :args (@t418 @t175 @t419)) % 239.42/239.78 (step @p676 :rule and_elim :premises (@p3) :args (0)) % 239.42/239.78 (step @p677 :rule refl :args (tptp.sz00)) % 239.42/239.78 (step @p678 :rule cong :premises (@p677 @p50) :args (@t420)) % 239.42/239.78 (step @p679 :rule cong :premises (@p678) :args ((not @t420))) % 239.42/239.78 (step @p680 :rule eq-symm :args (tptp.xn tptp.sz00)) % 239.42/239.78 (step @p681 :rule cong :premises (@p680) :args (@t115)) % 239.42/239.78 (step @p682 :rule trans :premises (@p681 @p679)) % 239.42/239.78 (step @p683 :rule and_elim :premises (@p40) :args (3)) % 239.42/239.78 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 239.42/239.78 (step @p685 :rule and_elim :premises (@p43) :args (0)) % 239.42/239.78 (step @p686 :rule symm :premises (@p685)) % 239.42/239.78 (step @p687 :rule cnf_or_pos :args (@t418)) % 239.42/239.78 (step @p688 :rule reordering :premises (@p687) :args ((or @t340 @t417 @t411 @t207 @t170 @t416 (not @t418)))) % 239.42/239.78 (step @p689 :rule chain_m_resolution :premises (@p688 @p686 @p684 @p676 @p150 @p85 @p675) :args (@t416 (@list true true false false false false) (@list @t340 @t417 @t5 @t206 @t116 @t418))) % 239.42/239.78 (step @p690 :rule cnf_and_pos :args (@t416 1)) % 239.42/239.78 (step @p691 :rule reordering :premises (@p690) :args ((or @t415 (not @t416)))) % 239.42/239.78 (step @p692 :rule chain_m_resolution :premises (@p691 @p689) :args (@t415 @t175 (@list @t416))) % 239.42/239.78 (step @p693 :rule bool-impl-elim :args (@t2 @t421)) % 239.42/239.78 (step @p694 :rule cong :premises (@p693) :args ((forall @t3 (=> @t2 @t421)))) % 239.42/239.78 (step @p695 :rule refl :args (@t30)) % 239.42/239.78 (step @p696 :rule eq-symm :args (@t31 @t1)) % 239.42/239.78 (step @p697 :rule nary_cong :premises (@p696 @p695) :args (@t32)) % 239.42/239.78 (step @p698 :rule cong :premises (@p506 @p697) :args (@t33)) % 239.42/239.78 (step @p699 :rule cong :premises (@p698) :args (@t34)) % 239.42/239.78 (step @p700 :rule trans :premises (@p699 @p694)) % 239.42/239.78 (step @p701 :rule eq_resolve :premises (@p11 @p700)) % 239.42/239.78 (step @p702 :rule instantiate :premises (@p701) :args ((@list @t155))) % 239.42/239.78 (step @p703 :rule cnf_or_pos :args (@t424)) % 239.42/239.78 (step @p704 :rule reordering :premises (@p703) :args ((or @t207 @t423 (not @t424)))) % 239.42/239.78 (step @p705 :rule chain_m_resolution :premises (@p704 @p150 @p702) :args (@t423 @t221 (@list @t206 @t424))) % 239.42/239.78 (step @p706 :rule cnf_and_pos :args (@t423 1)) % 239.42/239.78 (step @p707 :rule reordering :premises (@p706) :args ((or @t422 (not @t423)))) % 239.42/239.78 (step @p708 :rule chain_m_resolution :premises (@p707 @p705) :args (@t422 @t175 (@list @t423))) % 239.42/239.78 (step @p709 :rule eq-symm :args (@t155 @t149)) % 239.42/239.78 (step @p710 :rule cong :premises (@p709) :args (@t425)) % 239.42/239.78 (step @p711 :rule nary_cong :premises (@p322 @p710) :args (@t426)) % 239.42/239.78 (step @p712 :rule cong :premises (@p711) :args (@t427)) % 239.42/239.78 (step @p713 :rule cong :premises (@p712) :args ((not @t427))) % 239.42/239.78 (step @p714 :rule refl :args (@t149)) % 239.42/239.78 (step @p715 :rule cong :premises (@p50 @p714) :args (@t150)) % 239.42/239.78 (step @p716 :rule cong :premises (@p715) :args (@t428)) % 239.42/239.78 (step @p717 :rule nary_cong :premises (@p322 @p716) :args (@t429)) % 239.42/239.78 (step @p718 :rule cong :premises (@p717) :args (@t430)) % 239.42/239.78 (step @p719 :rule cong :premises (@p718) :args ((not @t430))) % 239.42/239.78 (step @p720 :rule trans :premises (@p719 @p713)) % 239.42/239.78 (step @p721 :rule bool-and-de-morgan :args (@t2 @t150 true)) % 239.42/239.78 (step @p722 :rule cong :premises (@p721) :args (@t431)) % 239.42/239.78 (step @p723 :rule cong :premises (@p722) :args (@t432)) % 239.42/239.78 (step @p724 :rule exists-elim :args ((= @t152 @t432))) % 239.42/239.78 (step @p725 :rule trans :premises (@p724 @p723)) % 239.42/239.78 (step @p726 :rule trans :premises (@p725 @p720)) % 239.42/239.78 (step @p727 :rule and_elim :premises (@p44) :args (2)) % 239.42/239.78 (step @p728 :rule eq_resolve :premises (@p727 @p726)) % 239.42/239.78 (step @p729 :rule refl :args (@t441)) % 239.42/239.78 (step @p730 :rule bool-double-not-elim :args (@t433)) % 239.42/239.78 (step @p731 :rule nary_cong :premises (@p730 @p729) :args ((or (not @t442) @t441))) % 239.42/239.78 (step @p732 :rule eq-symm :args (@t435 @t155)) % 239.42/239.78 (step @p733 :rule cong :premises (@p732) :args (@t443)) % 239.42/239.78 (step @p734 :rule refl :args (@t439)) % 239.42/239.78 (step @p735 :rule nary_cong :premises (@p734 @p733) :args (@t444)) % 239.42/239.78 (step @p736 :rule cong :premises (@p735) :args (@t445)) % 239.42/239.78 (step @p737 :rule refl :args (@t442)) % 239.42/239.78 (step @p738 :rule cong :premises (@p737 @p736) :args ((=> @t442 @t445))) % 239.42/239.78 (assume-push @p1184 @t442) % 239.42/239.78 (step @p740 :rule skolemize :premises (@p728)) % 239.42/239.78 (step-pop @p1185 :rule scope :premises (@p740)) % 239.42/239.78 (step @p741 :rule process_scope :premises (@p1185) :args (@t445)) % 239.42/239.78 (step @p743 :rule eq_resolve :premises (@p741 @p738)) % 239.42/239.78 (step @p744 :rule implies_elim :premises (@p743)) % 239.42/239.78 (step @p745 :rule eq_resolve :premises (@p744 @p731)) % 239.42/239.78 (step @p746 :rule chain_m_resolution :premises (@p745 @p728) :args (@t441 @t234 (@list @t433))) % 239.42/239.78 (step @p747 :rule bool-double-not-elim :args (@t436)) % 239.42/239.78 (step @p748 :rule refl :args (@t440)) % 239.42/239.78 (step @p749 :rule nary_cong :premises (@p748 @p747) :args ((or @t440 (not @t437)))) % 239.42/239.78 (step @p750 :rule cnf_or_neg :args (@t440 1)) % 239.42/239.78 (step @p751 :rule eq_resolve :premises (@p750 @p749)) % 239.42/239.78 (step @p752 :rule reordering :premises (@p751) :args ((or @t436 @t440))) % 239.42/239.78 (step @p753 :rule chain_m_resolution :premises (@p752 @p746) :args (@t436 @t234 @t446)) % 239.42/239.78 (step @p754 :rule bool-double-not-elim :args (@t414)) % 239.42/239.78 (step @p755 :rule refl :args (@t447)) % 239.42/239.78 (step @p756 :rule refl :args (@t448)) % 239.42/239.78 (step @p757 :rule refl :args (@t437)) % 239.42/239.78 (step @p758 :rule nary_cong :premises (@p757 @p756 @p755 @p754) :args ((or @t437 @t448 @t447 (not @t415)))) % 239.42/239.78 (assume-push @p1186 @t436) % 239.42/239.78 (assume-push @p1187 @t379) % 239.42/239.78 (assume-push @p1188 @t422) % 239.42/239.78 (assume-push @p1189 @t415) % 239.42/239.78 (step @p763 :rule evaluate :args (@t449)) % 239.42/239.78 (step @p764 :rule symm :premises (@p708)) % 239.42/239.78 (step @p765 :rule trans :premises (@p764 @p753)) % 239.42/239.78 (step @p766 :rule symm :premises (@p765)) % 239.42/239.78 (step @p767 :rule symm :premises (@p1187)) % 239.42/239.78 (step @p768 :rule trans :premises (@p767 @p753 @p766)) % 239.42/239.78 (step @p769 :rule true_intro :premises (@p768)) % 239.42/239.78 (step @p770 :rule false_intro :premises (@p692)) % 239.42/239.78 (step @p771 :rule symm :premises (@p770)) % 239.42/239.78 (step @p772 :rule trans :premises (@p771 @p769)) % 239.42/239.78 (step @p773 false :rule eq_resolve :premises (@p772 @p763)) % 239.42/239.78 (step-pop @p1190 :rule scope :premises (@p773)) % 239.42/239.78 (step-pop @p1191 :rule scope :premises (@p1190)) % 239.42/239.78 (step-pop @p1192 :rule scope :premises (@p1191)) % 239.42/239.78 (step-pop @p1193 :rule scope :premises (@p1192)) % 239.42/239.78 (step @p774 :rule process_scope :premises (@p1193) :args (false)) % 239.42/239.78 (step @p779 :rule not_and :premises (@p774)) % 239.42/239.78 (step @p780 :rule eq_resolve :premises (@p779 @p758)) % 239.42/239.78 (step @p781 :rule chain_m_resolution :premises (@p780 @p753 @p708 @p692) :args (@t448 (@list false false true) (@list @t436 @t422 @t414))) % 239.42/239.78 (step @p782 :rule cnf_and_pos :args (@t380 1)) % 239.42/239.78 (step @p783 :rule reordering :premises (@p782) :args ((or @t379 @t450))) % 239.42/239.78 (step @p784 :rule chain_m_resolution :premises (@p783 @p781) :args (@t450 @t234 (@list @t379))) % 239.42/239.78 (step @p785 :rule cnf_equiv_pos2 :args (@t384)) % 239.42/239.78 (step @p786 :rule reordering :premises (@p785) :args ((or @t380 @t451 (not @t384)))) % 239.42/239.78 (step @p787 :rule chain_m_resolution :premises (@p786 @p784 @p620) :args (@t451 @t256 (@list @t380 @t384))) % 239.42/239.78 (assume-push @p1194 @t452) % 239.42/239.78 (assume-push @p1195 @t351) % 239.42/239.78 (assume-push @p1196 @t375) % 239.42/239.78 (assume-push @p1197 @t452) % 239.42/239.78 (assume-push @p1198 @t351) % 239.42/239.78 (assume-push @p1199 @t375) % 239.42/239.78 (step @p794 :rule symm :premises (@p605)) % 239.42/239.78 (step @p795 :rule symm :premises (@p1195)) % 239.42/239.78 (step @p796 :rule cong :premises (@p49 @p795) :args (@t155)) % 239.42/239.78 (step @p797 :rule trans :premises (@p796 @p794 @p1195 @p55)) % 239.42/239.78 (step-pop @p1200 :rule scope :premises (@p797)) % 239.42/239.78 (step-pop @p1201 :rule scope :premises (@p1200)) % 239.42/239.78 (step-pop @p1202 :rule scope :premises (@p1201)) % 239.42/239.78 (step @p798 :rule process_scope :premises (@p1202) :args (@t383)) % 239.42/239.78 (step @p802 :rule and_intro :premises (@p55 @p1195 @p605)) % 239.42/239.78 (step @p803 :rule modus_ponens :premises (@p802 @p798)) % 239.42/239.78 (step-pop @p1203 :rule scope :premises (@p803)) % 239.42/239.78 (step-pop @p1204 :rule scope :premises (@p1203)) % 239.42/239.78 (step-pop @p1205 :rule scope :premises (@p1204)) % 239.42/239.78 (step @p804 :rule process_scope :premises (@p1205) :args (@t383)) % 239.42/239.78 (step @p808 :rule implies_elim :premises (@p804)) % 239.42/239.78 (step @p809 :rule cnf_and_neg :args (@t453)) % 239.42/239.78 (step @p810 :rule resolution :premises (@p809 @p808) :args (true @t453)) % 239.42/239.78 (step @p811 :rule reordering :premises (@p810) :args ((or @t455 @t383 @t454 (not @t375)))) % 239.42/239.78 (step @p812 :rule chain_m_resolution :premises (@p811 @p787 @p605 @p55) :args (@t454 (@list true false false) (@list @t383 @t375 @t452))) % 239.42/239.78 (step @p813 :rule cnf_or_pos :args (@t374)) % 239.42/239.78 (step @p814 :rule factoring :premises (@p813)) % 239.42/239.78 (step @p815 :rule reordering :premises (@p814) :args ((or @t169 @t351 @t371 (not @t374)))) % 239.42/239.78 (step @p816 :rule chain_m_resolution :premises (@p815 @p84 @p812 @p598) :args (@t371 (@list false true false) (@list @t156 @t351 @t374))) % 239.42/239.78 (step @p817 :rule refl :args (@t456)) % 239.42/239.78 (step @p818 :rule refl :args (@t457)) % 239.42/239.78 (step @p819 :rule refl :args (@t458)) % 239.42/239.78 (step @p820 :rule refl :args (@t459)) % 239.42/239.78 (step @p821 :rule refl :args (@t230)) % 239.42/239.78 (step @p822 :rule refl :args (@t460)) % 239.42/239.78 (step @p823 :rule refl :args (@t461)) % 239.42/239.78 (step @p824 :rule bool-double-not-elim :args (@t370)) % 239.42/239.78 (step @p825 :rule refl :args (@t462)) % 239.42/239.78 (step @p826 :rule refl :args (@t463)) % 239.42/239.78 (step @p827 :rule refl :args (@t455)) % 239.42/239.78 (step @p828 :rule refl :args (@t464)) % 239.42/239.78 (step @p829 :rule nary_cong :premises (@p828 @p827 @p826 @p825 @p824 @p823 @p822 @p821 @p820 @p819 @p818 @p817) :args ((or @t464 @t455 @t463 @t462 (not @t371) @t461 @t460 @t230 @t459 @t458 @t457 @t456))) % 239.42/239.78 (assume-push @p1206 @t358) % 239.42/239.78 (assume-push @p1207 @t345) % 239.42/239.78 (assume-push @p1208 @t465) % 239.42/239.78 (assume-push @p1209 @t371) % 239.42/239.78 (step @p763 :rule evaluate :args (@t449)) % 239.42/239.78 (step @p834 :rule symm :premises (@p1207)) % 239.42/239.78 (step @p835 :rule trans :premises (@p1208 @p834 @p570)) % 239.42/239.78 (step @p836 :rule symm :premises (@p835)) % 239.42/239.78 (step @p837 :rule trans :premises (@p570 @p836)) % 239.42/239.78 (step @p838 :rule true_intro :premises (@p837)) % 239.42/239.78 (step @p839 :rule false_intro :premises (@p1209)) % 239.42/239.78 (step @p840 :rule symm :premises (@p839)) % 239.42/239.78 (step @p841 :rule trans :premises (@p840 @p838)) % 239.42/239.78 (step @p842 false :rule eq_resolve :premises (@p841 @p763)) % 239.42/239.78 (step-pop @p1210 :rule scope :premises (@p842)) % 239.42/239.78 (step-pop @p1211 :rule scope :premises (@p1210)) % 239.42/239.78 (step-pop @p1212 :rule scope :premises (@p1211)) % 239.42/239.78 (step-pop @p1213 :rule scope :premises (@p1212)) % 239.42/239.78 (step @p843 :rule process_scope :premises (@p1213) :args (false)) % 239.42/239.78 (assume-push @p1214 @t159) % 239.42/239.78 (assume-push @p1215 @t452) % 239.42/239.78 (assume-push @p1216 @t358) % 239.42/239.78 (assume-push @p1217 @t173) % 239.42/239.78 (assume-push @p1218 @t371) % 239.42/239.78 (assume-push @p1219 @t203) % 239.42/239.78 (assume-push @p1220 @t216) % 239.42/239.78 (assume-push @p1221 @t229) % 239.42/239.78 (assume-push @p1222 @t354) % 239.42/239.78 (assume-push @p1223 @t237) % 239.42/239.78 (assume-push @p1224 @t278) % 239.42/239.78 (assume-push @p1225 @t345) % 239.42/239.78 (assume-push @p1226 @t345) % 239.42/239.78 (assume-push @p1227 @t354) % 239.42/239.78 (assume-push @p1228 @t278) % 239.42/239.78 (assume-push @p1229 @t237) % 239.42/239.78 (assume-push @p1230 @t159) % 239.42/239.78 (assume-push @p1231 @t173) % 239.42/239.78 (assume-push @p1232 @t216) % 239.42/239.78 (assume-push @p1233 @t229) % 239.42/239.78 (assume-push @p1234 @t203) % 239.42/239.78 (assume-push @p1235 @t452) % 239.42/239.78 (step @p870 :rule symm :premises (@p546)) % 239.42/239.78 (step @p871 :rule symm :premises (@p1225)) % 239.42/239.78 (step @p872 :rule symm :premises (@p1224)) % 239.42/239.78 (step @p873 :rule cong :premises (@p872 @p871) :args (@t289)) % 239.42/239.78 (step @p874 :rule refl :args (@t235)) % 239.42/239.78 (step @p875 :rule cong :premises (@p1224 @p874) :args (@t236)) % 239.42/239.78 (step @p876 :rule symm :premises (@p1223)) % 239.42/239.78 (step @p877 :rule symm :premises (@p46)) % 239.42/239.78 (step @p878 :rule symm :premises (@p89)) % 239.42/239.78 (step @p879 :rule trans :premises (@p177 @p878 @p877)) % 239.42/239.78 (step @p880 :rule symm :premises (@p177)) % 239.42/239.78 (step @p881 :rule symm :premises (@p1221)) % 239.42/239.78 (step @p882 :rule trans :premises (@p881 @p89 @p880)) % 239.42/239.78 (step @p883 :rule trans :premises (@p882 @p879)) % 239.42/239.78 (step @p884 :rule cong :premises (@p883 @p49) :args (@t466)) % 239.42/239.78 (step @p885 :rule symm :premises (@p882)) % 239.42/239.78 (step @p886 :rule cong :premises (@p885 @p49) :args (@t201)) % 239.42/239.78 (step @p887 :rule cong :premises (@p52 @p55) :args (@t157)) % 239.42/239.78 (step @p888 :rule trans :premises (@p887 @p155 @p886 @p884 @p876 @p875 @p873 @p870 @p1225)) % 239.42/239.78 (step-pop @p1236 :rule scope :premises (@p888)) % 239.42/239.78 (step-pop @p1237 :rule scope :premises (@p1236)) % 239.42/239.78 (step-pop @p1238 :rule scope :premises (@p1237)) % 239.42/239.78 (step-pop @p1239 :rule scope :premises (@p1238)) % 239.42/239.78 (step-pop @p1240 :rule scope :premises (@p1239)) % 239.42/239.78 (step-pop @p1241 :rule scope :premises (@p1240)) % 239.42/239.78 (step-pop @p1242 :rule scope :premises (@p1241)) % 239.42/239.78 (step-pop @p1243 :rule scope :premises (@p1242)) % 239.42/239.78 (step-pop @p1244 :rule scope :premises (@p1243)) % 239.42/239.78 (step-pop @p1245 :rule scope :premises (@p1244)) % 239.42/239.78 (step @p889 :rule process_scope :premises (@p1245) :args (@t465)) % 239.42/239.78 (step @p900 :rule and_intro :premises (@p1225 @p546 @p1224 @p1223 @p46 @p89 @p177 @p1221 @p155 @p55)) % 239.42/239.78 (step @p901 :rule modus_ponens :premises (@p900 @p889)) % 239.42/239.78 (step @p902 :rule and_intro :premises (@p570 @p1225 @p901 @p1218)) % 239.42/239.78 (step-pop @p1246 :rule scope :premises (@p902)) % 239.42/239.78 (step-pop @p1247 :rule scope :premises (@p1246)) % 239.42/239.78 (step-pop @p1248 :rule scope :premises (@p1247)) % 239.42/239.78 (step-pop @p1249 :rule scope :premises (@p1248)) % 239.42/239.78 (step-pop @p1250 :rule scope :premises (@p1249)) % 239.42/239.78 (step-pop @p1251 :rule scope :premises (@p1250)) % 239.42/239.78 (step-pop @p1252 :rule scope :premises (@p1251)) % 239.42/239.78 (step-pop @p1253 :rule scope :premises (@p1252)) % 239.42/239.78 (step-pop @p1254 :rule scope :premises (@p1253)) % 239.42/239.78 (step-pop @p1255 :rule scope :premises (@p1254)) % 239.42/239.78 (step-pop @p1256 :rule scope :premises (@p1255)) % 239.42/239.78 (step-pop @p1257 :rule scope :premises (@p1256)) % 239.42/239.78 (step @p903 :rule process_scope :premises (@p1257) :args (@t467)) % 239.42/239.78 (step @p916 :rule implies_elim :premises (@p903)) % 239.42/239.78 (step @p917 :rule resolution :premises (@p916 @p843) :args (true @t467)) % 239.42/239.78 (step @p918 :rule not_and :premises (@p917)) % 239.42/239.78 (step @p919 :rule eq_resolve :premises (@p918 @p829)) % 239.42/239.78 (step @p920 :rule reordering :premises (@p919) :args ((or @t455 @t464 @t370 @t463 @t462 @t461 @t460 @t230 @t459 @t458 @t457 @t456))) % 239.42/239.78 (step @p921 :rule chain_m_resolution :premises (@p920 @p55 @p46 @p816 @p570 @p89 @p155 @p177 @p225 @p546 @p315 @p378) :args (@t456 (@list false false true false false false false false false false false) (@list @t452 @t159 @t370 @t358 @t173 @t203 @t216 @t229 @t354 @t237 @t278))) % 239.42/239.78 (step @p922 :rule aci_norm :args ((= (or @t194 @t469) (or @t162 @t161 @t65 @t468 @t78)))) % 239.42/239.78 (step @p923 :rule aci_norm :args ((= (or (or @t65 @t468) @t78) @t469))) % 239.42/239.78 (step @p924 :rule refl :args (@t78)) % 239.42/239.78 (step @p925 :rule refl :args (@t468)) % 239.42/239.78 (step @p926 :rule bool-double-not-elim :args (@t65)) % 239.42/239.78 (step @p927 :rule nary_cong :premises (@p926 @p925) :args ((or (not @t70) @t468))) % 239.42/239.78 (step @p928 :rule bool-and-de-morgan :args (@t70 @t64 true)) % 239.42/239.78 (step @p929 :rule trans :premises (@p928 @p927)) % 239.42/239.78 (step @p930 :rule nary_cong :premises (@p929 @p924) :args ((or (not @t71) @t78))) % 239.42/239.78 (step @p931 :rule trans :premises (@p930 @p923)) % 239.42/239.78 (step @p932 :rule bool-impl-elim :args (@t71 @t78)) % 239.42/239.78 (step @p933 :rule trans :premises (@p932 @p931)) % 239.42/239.78 (step @p934 :rule nary_cong :premises (@p115 @p933) :args ((or @t199 @t79))) % 239.42/239.78 (step @p935 :rule trans :premises (@p934 @p922)) % 239.42/239.78 (step @p936 :rule bool-impl-elim :args (@t9 @t79)) % 239.42/239.78 (step @p937 :rule trans :premises (@p936 @p935)) % 239.42/239.78 (step @p938 :rule cong :premises (@p937) :args (@t80)) % 239.42/239.78 (step @p939 :rule eq_resolve :premises (@p29 @p938)) % 239.42/239.78 (step @p940 :rule instantiate :premises (@p939) :args ((@list @t434 @t470))) % 239.42/239.78 (step @p941 :rule instantiate :premises (@p163) :args ((@list tptp.xp tptp.xq))) % 239.42/239.78 (step @p942 :rule cnf_or_pos :args (@t473)) % 239.42/239.78 (step @p943 :rule reordering :premises (@p942) :args ((or @t170 @t169 @t472 (not @t473)))) % 239.42/239.78 (step @p944 :rule chain_m_resolution :premises (@p943 @p85 @p84 @p941) :args (@t472 @t176 (@list @t116 @t156 @t473))) % 239.42/239.78 (step @p945 :rule refl :args (@t474)) % 239.42/239.78 (step @p946 :rule refl :args (@t475)) % 239.42/239.78 (step @p947 :rule nary_cong :premises (@p73 @p133 @p72 @p734 @p946 @p945) :args (@t476)) % 239.42/239.78 (step @p948 :rule cong :premises (@p667 @p947) :args ((=> @t413 @t476))) % 239.42/239.78 (assume-push @p1258 @t413) % 239.42/239.78 (step @p950 :rule instantiate :premises (@p658) :args ((@list tptp.xp tptp.xq @t434))) % 239.42/239.78 (step-pop @p1259 :rule scope :premises (@p950)) % 239.42/239.78 (step @p951 :rule process_scope :premises (@p1259) :args (@t476)) % 239.42/239.78 (step @p953 :rule eq_resolve :premises (@p951 @p948)) % 239.42/239.78 (step @p954 :rule implies_elim :premises (@p953)) % 239.42/239.78 (step @p955 :rule chain_m_resolution :premises (@p954 @p658) :args (@t477 @t175 @t419)) % 239.42/239.78 (step @p956 :rule cnf_and_pos :args (@t475 0)) % 239.42/239.78 (step @p957 :rule reordering :premises (@p956) :args ((or @t437 @t478))) % 239.42/239.78 (step @p958 :rule chain_m_resolution :premises (@p957 @p753) :args (@t478 @t175 (@list @t436))) % 239.42/239.78 (step @p959 :rule bool-double-not-elim :args (@t438)) % 239.42/239.78 (step @p960 :rule nary_cong :premises (@p748 @p959) :args ((or @t440 (not @t439)))) % 239.42/239.78 (step @p961 :rule cnf_or_neg :args (@t440 0)) % 239.42/239.78 (step @p962 :rule eq_resolve :premises (@p961 @p960)) % 239.42/239.78 (step @p963 :rule reordering :premises (@p962) :args ((or @t438 @t440))) % 239.42/239.78 (step @p964 :rule chain_m_resolution :premises (@p963 @p746) :args (@t438 @t234 @t446)) % 239.42/239.78 (step @p965 :rule cnf_or_pos :args (@t477)) % 239.42/239.78 (step @p966 :rule reordering :premises (@p965) :args ((or @t210 @t170 @t169 @t439 @t475 @t474 (not @t477)))) % 239.42/239.78 (step @p967 :rule chain_m_resolution :premises (@p966 @p152 @p85 @p84 @p964 @p958 @p955) :args (@t474 (@list true false false false true false) (@list @t210 @t116 @t156 @t438 @t475 @t477))) % 239.42/239.78 (step @p968 :rule refl :args (@t480)) % 239.42/239.78 (step @p969 :rule bool-double-not-elim :args (@t383)) % 239.42/239.78 (step @p970 :rule refl :args (@t481)) % 239.42/239.78 (step @p971 :rule refl :args (@t482)) % 239.42/239.78 (step @p972 :rule nary_cong :premises (@p827 @p971 @p970 @p969 @p968) :args ((or @t455 @t482 @t481 (not @t451) @t480))) % 239.42/239.78 (assume-push @p1260 @t452) % 239.42/239.78 (assume-push @p1261 @t474) % 239.42/239.78 (assume-push @p1262 @t472) % 239.42/239.78 (assume-push @p1263 @t451) % 239.42/239.78 (assume-push @p1264 @t472) % 239.42/239.78 (assume-push @p1265 @t474) % 239.42/239.78 (assume-push @p1266 @t451) % 239.42/239.78 (assume-push @p1267 @t452) % 239.42/239.78 (step @p981 :rule bool-eq-false :args (@t479)) % 239.42/239.78 (step @p982 :rule symm :premises (@p981)) % 239.42/239.78 (step @p983 :rule eq-symm :args (@t470 @t434)) % 239.42/239.78 (step @p984 :rule cong :premises (@p983) :args ((not @t483))) % 239.42/239.78 (step @p985 :rule bool-eq-false :args (@t483)) % 239.42/239.78 (step @p986 :rule trans :premises (@p985 @p984)) % 239.42/239.78 (step @p987 :rule trans :premises (@p986 @p982)) % 239.42/239.78 (step @p988 :rule false_intro :premises (@p1263)) % 239.42/239.78 (step @p989 :rule symm :premises (@p967)) % 239.42/239.78 (step @p990 :rule trans :premises (@p989 @p55)) % 239.42/239.78 (step @p991 :rule symm :premises (@p944)) % 239.42/239.78 (step @p992 :rule cong :premises (@p989 @p49) :args (@t470)) % 239.42/239.78 (step @p993 :rule trans :premises (@p992 @p991)) % 239.42/239.78 (step @p994 :rule cong :premises (@p993 @p990) :args (@t483)) % 239.42/239.78 (step @p995 :rule trans :premises (@p994 @p988)) % 239.42/239.78 (step @p996 :rule eq_resolve :premises (@p995 @p987)) % 239.42/239.78 (step @p997 :rule false_elim :premises (@p996)) % 239.42/239.78 (step-pop @p1268 :rule scope :premises (@p997)) % 239.42/239.78 (step-pop @p1269 :rule scope :premises (@p1268)) % 239.42/239.78 (step-pop @p1270 :rule scope :premises (@p1269)) % 239.42/239.78 (step-pop @p1271 :rule scope :premises (@p1270)) % 239.42/239.78 (step @p998 :rule process_scope :premises (@p1271) :args (@t480)) % 239.42/239.78 (step @p1003 :rule and_intro :premises (@p944 @p967 @p1263 @p55)) % 239.42/239.78 (step @p1004 :rule modus_ponens :premises (@p1003 @p998)) % 239.42/239.78 (step-pop @p1272 :rule scope :premises (@p1004)) % 239.42/239.78 (step-pop @p1273 :rule scope :premises (@p1272)) % 239.42/239.78 (step-pop @p1274 :rule scope :premises (@p1273)) % 239.42/239.78 (step-pop @p1275 :rule scope :premises (@p1274)) % 239.42/239.78 (step @p1005 :rule process_scope :premises (@p1275) :args (@t480)) % 239.42/239.78 (step @p1010 :rule implies_elim :premises (@p1005)) % 239.42/239.78 (step @p1011 :rule cnf_and_neg :args (@t484)) % 239.42/239.78 (step @p1012 :rule resolution :premises (@p1011 @p1010) :args (true @t484)) % 239.42/239.78 (step @p1013 :rule eq_resolve :premises (@p1012 @p972)) % 239.42/239.78 (step @p1014 :rule chain_m_resolution :premises (@p1013 @p55 @p967 @p944 @p787) :args (@t480 (@list false false false true) (@list @t452 @t474 @t472 @t383))) % 239.42/239.78 (step @p1015 :rule true_intro :premises (@p150)) % 239.42/239.78 (step @p991 :rule symm :premises (@p944)) % 239.42/239.78 (step @p989 :rule symm :premises (@p967)) % 239.42/239.78 (step @p992 :rule cong :premises (@p989 @p49) :args (@t470)) % 239.42/239.78 (step @p993 :rule trans :premises (@p992 @p991)) % 239.42/239.78 (step @p1016 :rule cong :premises (@p993) :args (@t485)) % 239.42/239.78 (step @p1017 :rule trans :premises (@p1016 @p1015)) % 239.42/239.78 (step @p1018 :rule true_elim :premises (@p1017)) % 239.42/239.78 (step @p1019 :rule aci_norm :args ((= (or @t194 (or @t52 @t75)) @t486))) % 239.42/239.78 (step @p1020 :rule refl :args (@t75)) % 239.42/239.78 (step @p1021 :rule nary_cong :premises (@p107 @p1020) :args ((or @t196 @t75))) % 239.42/239.78 (step @p1022 :rule bool-impl-elim :args (@t53 @t75)) % 239.42/239.78 (step @p1023 :rule trans :premises (@p1022 @p1021)) % 239.42/239.78 (step @p1024 :rule nary_cong :premises (@p115 @p1023) :args ((or @t199 @t76))) % 239.42/239.78 (step @p1025 :rule trans :premises (@p1024 @p1019)) % 239.42/239.78 (step @p1026 :rule bool-impl-elim :args (@t9 @t76)) % 239.42/239.78 (step @p1027 :rule trans :premises (@p1026 @p1025)) % 239.42/239.78 (step @p1028 :rule cong :premises (@p1027) :args (@t77)) % 239.42/239.78 (step @p1029 :rule eq_resolve :premises (@p27 @p1028)) % 239.42/239.78 (step @p1030 :rule refl :args (@t487)) % 239.42/239.78 (step @p1031 :rule nary_cong :premises (@p73 @p734 @p133 @p1030) :args (@t488)) % 239.42/239.78 (step @p1032 :rule refl :args (@t489)) % 239.42/239.78 (step @p1033 :rule cong :premises (@p1032 @p1031) :args ((=> @t489 @t488))) % 239.42/239.78 (assume-push @p1276 @t489) % 239.42/239.78 (step @p1035 :rule instantiate :premises (@p1029) :args ((@list tptp.xp @t434))) % 239.42/239.78 (step-pop @p1277 :rule scope :premises (@p1035)) % 239.42/239.78 (step @p1036 :rule process_scope :premises (@p1277) :args (@t488)) % 239.42/239.78 (step @p1038 :rule eq_resolve :premises (@p1036 @p1033)) % 239.42/239.78 (step @p1039 :rule implies_elim :premises (@p1038)) % 239.42/239.78 (step @p1040 :rule chain_m_resolution :premises (@p1039 @p1029) :args (@t490 @t175 (@list @t489))) % 239.42/239.78 (step @p1041 :rule cnf_or_pos :args (@t490)) % 239.42/239.78 (step @p1042 :rule reordering :premises (@p1041) :args ((or @t210 @t170 @t439 @t487 (not @t490)))) % 239.42/239.78 (step @p1043 :rule chain_m_resolution :premises (@p1042 @p152 @p85 @p964 @p1040) :args (@t487 (@list true false false false) (@list @t210 @t116 @t438 @t490))) % 239.42/239.78 (step @p1044 :rule cnf_or_pos :args (@t494)) % 239.42/239.78 (step @p1045 :rule reordering :premises (@p1044) :args ((or @t439 @t492 @t493 @t479 @t491 (not @t494)))) % 239.42/239.78 (step @p1046 :rule chain_m_resolution :premises (@p1045 @p964 @p1043 @p1018 @p1014 @p940) :args (@t491 (@list false false false true false) (@list @t438 @t487 @t485 @t479 @t494))) % 239.42/239.78 (assume-push @p1278 @t474) % 239.42/239.78 (assume-push @p1279 @t472) % 239.42/239.78 (assume-push @p1280 @t491) % 239.42/239.78 (assume-push @p1281 @t491) % 239.42/239.78 (assume-push @p1282 @t474) % 239.42/239.78 (assume-push @p1283 @t472) % 239.42/239.78 (step @p1053 :rule true_intro :premises (@p1280)) % 239.42/239.78 (step @p1054 :rule cong :premises (@p967 @p49) :args (@t471)) % 239.42/239.78 (step @p1055 :rule trans :premises (@p944 @p1054)) % 239.42/239.78 (step @p1056 :rule cong :premises (@p967 @p1055) :args (@t342)) % 239.42/239.78 (step @p1057 :rule trans :premises (@p1056 @p1053)) % 239.42/239.78 (step @p1058 :rule true_elim :premises (@p1057)) % 239.42/239.78 (step-pop @p1284 :rule scope :premises (@p1058)) % 239.42/239.78 (step-pop @p1285 :rule scope :premises (@p1284)) % 239.42/239.78 (step-pop @p1286 :rule scope :premises (@p1285)) % 239.42/239.78 (step @p1059 :rule process_scope :premises (@p1286) :args (@t342)) % 239.42/239.78 (step @p1063 :rule and_intro :premises (@p1280 @p967 @p944)) % 239.42/239.78 (step @p1064 :rule modus_ponens :premises (@p1063 @p1059)) % 239.42/239.78 (step-pop @p1287 :rule scope :premises (@p1064)) % 239.42/239.78 (step-pop @p1288 :rule scope :premises (@p1287)) % 239.42/239.78 (step-pop @p1289 :rule scope :premises (@p1288)) % 239.42/239.78 (step @p1065 :rule process_scope :premises (@p1289) :args (@t342)) % 239.42/239.78 (step @p1069 :rule implies_elim :premises (@p1065)) % 239.42/239.78 (step @p1070 :rule cnf_and_neg :args (@t495)) % 239.42/239.78 (step @p1071 :rule resolution :premises (@p1070 @p1069) :args (true @t495)) % 239.42/239.78 (step @p1072 :rule reordering :premises (@p1071) :args ((or @t482 @t481 @t342 (not @t491)))) % 239.42/239.78 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p967 @p944 @p1046) :args (@t342 @t176 (@list @t474 @t472 @t491))) % 239.42/239.78 (step @p1074 :rule cnf_and_pos :args (@t341 1)) % 239.42/239.78 (step @p1075 :rule reordering :premises (@p1074) :args ((or @t260 @t496))) % 239.42/239.78 (step @p1076 :rule chain_m_resolution :premises (@p1075 @p306) :args (@t496 @t175 (@list @t147))) % 239.42/239.78 (step @p1077 :rule cnf_or_pos :args (@t352)) % 239.42/239.78 (step @p1078 :rule reordering :premises (@p1077) :args ((or @t210 @t170 @t169 @t351 @t341 @t343 @t291 @t345 @t350 (not @t352)))) % 239.42/239.78 (step @p1079 :rule chain_m_resolution :premises (@p1078 @p152 @p85 @p84 @p812 @p1076 @p1073 @p382 @p921 @p530) :args (@t350 (@list true false false true true false false true false) (@list @t210 @t116 @t156 @t351 @t341 @t342 @t279 @t345 @t352))) % 239.42/239.78 (step @p1080 :rule bool-double-not-elim :args (@t349)) % 239.42/239.78 (step @p1081 :rule refl :args (@t497)) % 239.42/239.78 (step @p1082 :rule nary_cong :premises (@p828 @p827 @p825 @p823 @p822 @p821 @p819 @p818 @p1081 @p1080) :args ((or @t464 @t455 @t462 @t461 @t460 @t230 @t458 @t457 @t497 (not @t350)))) % 239.42/239.78 (assume-push @p1290 @t350) % 239.42/239.78 (assume-push @p1291 @t349) % 239.42/239.78 (step @p1085 :rule evaluate :args ((= true false))) % 239.42/239.78 (step @p1086 :rule false_intro :premises (@p1290)) % 239.42/239.78 (step @p1087 :rule true_intro :premises (@p1291)) % 239.42/239.78 (step @p1088 :rule symm :premises (@p1087)) % 239.42/239.78 (step @p1089 :rule trans :premises (@p1088 @p1086)) % 239.42/239.78 (step @p1090 false :rule eq_resolve :premises (@p1089 @p1085)) % 239.42/239.78 (step-pop @p1292 :rule scope :premises (@p1090)) % 239.42/239.78 (step-pop @p1293 :rule scope :premises (@p1292)) % 239.42/239.78 (step @p1091 :rule process_scope :premises (@p1293) :args (false)) % 239.42/239.78 (assume-push @p1294 @t159) % 239.42/239.78 (assume-push @p1295 @t452) % 239.42/239.78 (assume-push @p1296 @t173) % 239.42/239.78 (assume-push @p1297 @t203) % 239.42/239.78 (assume-push @p1298 @t216) % 239.42/239.78 (assume-push @p1299 @t229) % 239.42/239.78 (assume-push @p1300 @t237) % 239.42/239.78 (assume-push @p1301 @t278) % 239.42/239.78 (assume-push @p1302 @t290) % 239.42/239.78 (assume-push @p1303 @t350) % 239.42/239.78 (assume-push @p1304 @t290) % 239.42/239.78 (assume-push @p1305 @t278) % 239.42/239.78 (assume-push @p1306 @t237) % 239.42/239.78 (assume-push @p1307 @t159) % 239.42/239.78 (assume-push @p1308 @t173) % 239.42/239.78 (assume-push @p1309 @t216) % 239.42/239.78 (assume-push @p1310 @t229) % 239.42/239.78 (assume-push @p1311 @t203) % 239.42/239.78 (assume-push @p1312 @t452) % 239.42/239.78 (step @p874 :rule refl :args (@t235)) % 239.42/239.78 (step @p1113 :rule cong :premises (@p1301 @p874) :args (@t236)) % 239.42/239.78 (step @p1114 :rule symm :premises (@p1300)) % 239.42/239.78 (step @p877 :rule symm :premises (@p46)) % 239.42/239.78 (step @p878 :rule symm :premises (@p89)) % 239.42/239.78 (step @p879 :rule trans :premises (@p177 @p878 @p877)) % 239.42/239.78 (step @p880 :rule symm :premises (@p177)) % 239.42/239.78 (step @p1115 :rule symm :premises (@p1299)) % 239.42/239.78 (step @p1116 :rule trans :premises (@p1115 @p89 @p880)) % 239.42/239.78 (step @p1117 :rule trans :premises (@p1116 @p879)) % 239.42/239.78 (step @p1118 :rule cong :premises (@p1117 @p49) :args (@t466)) % 239.42/239.78 (step @p1119 :rule symm :premises (@p1116)) % 239.42/239.78 (step @p1120 :rule cong :premises (@p1119 @p49) :args (@t201)) % 239.42/239.78 (step @p887 :rule cong :premises (@p52 @p55) :args (@t157)) % 239.42/239.78 (step @p1121 :rule trans :premises (@p887 @p155 @p1120 @p1118 @p1114 @p1113 @p1302)) % 239.42/239.78 (step-pop @p1313 :rule scope :premises (@p1121)) % 239.42/239.78 (step-pop @p1314 :rule scope :premises (@p1313)) % 239.42/239.78 (step-pop @p1315 :rule scope :premises (@p1314)) % 239.42/239.78 (step-pop @p1316 :rule scope :premises (@p1315)) % 239.42/239.78 (step-pop @p1317 :rule scope :premises (@p1316)) % 239.42/239.78 (step-pop @p1318 :rule scope :premises (@p1317)) % 239.42/239.78 (step-pop @p1319 :rule scope :premises (@p1318)) % 239.42/239.78 (step-pop @p1320 :rule scope :premises (@p1319)) % 239.42/239.78 (step-pop @p1321 :rule scope :premises (@p1320)) % 239.42/239.78 (step @p1122 :rule process_scope :premises (@p1321) :args (@t349)) % 239.42/239.78 (step @p1132 :rule and_intro :premises (@p1302 @p1301 @p1300 @p46 @p89 @p177 @p1299 @p155 @p55)) % 239.42/239.78 (step @p1133 :rule modus_ponens :premises (@p1132 @p1122)) % 239.42/239.78 (step @p1134 :rule and_intro :premises (@p1303 @p1133)) % 239.42/239.78 (step-pop @p1322 :rule scope :premises (@p1134)) % 239.42/239.78 (step-pop @p1323 :rule scope :premises (@p1322)) % 239.42/239.78 (step-pop @p1324 :rule scope :premises (@p1323)) % 239.42/239.78 (step-pop @p1325 :rule scope :premises (@p1324)) % 239.42/239.78 (step-pop @p1326 :rule scope :premises (@p1325)) % 239.42/239.78 (step-pop @p1327 :rule scope :premises (@p1326)) % 239.42/239.78 (step-pop @p1328 :rule scope :premises (@p1327)) % 239.42/239.78 (step-pop @p1329 :rule scope :premises (@p1328)) % 239.42/239.78 (step-pop @p1330 :rule scope :premises (@p1329)) % 239.42/239.78 (step-pop @p1331 :rule scope :premises (@p1330)) % 239.42/239.78 (step @p1135 :rule process_scope :premises (@p1331) :args (@t498)) % 239.42/239.78 (step @p1146 :rule implies_elim :premises (@p1135)) % 239.42/239.78 (step @p1147 :rule resolution :premises (@p1146 @p1091) :args (true @t498)) % 239.42/239.78 (step @p1148 :rule not_and :premises (@p1147)) % 239.42/239.78 (step @p1149 :rule eq_resolve :premises (@p1148 @p1082)) % 239.42/239.78 (step @p1150 :rule reordering :premises (@p1149) :args ((or @t455 @t464 @t462 @t461 @t460 @t230 @t458 @t457 @t497 @t349))) % 239.42/239.78 (step @p1151 false :rule chain_m_resolution :premises (@p1150 @p1079 @p386 @p378 @p315 @p225 @p177 @p155 @p89 @p46 @p55) :args (false (@list true false false false false false false false false false) (@list @t349 @t290 @t278 @t237 @t229 @t216 @t203 @t173 @t159 @t452))) % 239.42/239.79 ) % 239.42/239.79 % SZS output end Proof % 239.42/239.79 % cvc5 exiting %------------------------------------------------------------------------------