%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM585+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:55 AM UTC 2026 % Result : Theorem 128.05s 128.22s % Output : Proof 128.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM585+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:32:51 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 128.05/128.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.05/128.22 --- Run --no-e-matching --full-saturate-quant at 6... % 128.05/128.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.05/128.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.05/128.22 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.05/128.22 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.05/128.22 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.05/128.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.05/128.22 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.05/128.22 % SZS status Theorem % 128.05/128.22 % SZS output start Proof % 128.05/128.22 ( % 128.05/128.22 (declare-sort $$unsorted 0) % 128.05/128.22 (declare-const tptp.xN $$unsorted) % 128.05/128.22 (declare-const tptp.sz00 $$unsorted) % 128.05/128.22 (declare-const tptp.xC $$unsorted) % 128.05/128.22 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.szNzAzT0 $$unsorted) % 128.05/128.22 (declare-const tptp.xk $$unsorted) % 128.05/128.22 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 128.05/128.22 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.xK $$unsorted) % 128.05/128.22 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.xT $$unsorted) % 128.05/128.22 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.xS $$unsorted) % 128.05/128.22 (declare-const tptp.xc $$unsorted) % 128.05/128.22 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.slcrc0 $$unsorted) % 128.05/128.22 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 128.05/128.22 (define @t1 () (@var "W0" $$unsorted)) % 128.05/128.22 (define @t2 () (tptp.aSet0 @t1)) % 128.05/128.22 (define @t3 () (@list @t1)) % 128.05/128.22 (define @t4 () (tptp.aElement0 @t1)) % 128.05/128.22 (define @t5 () (@var "W1" $$unsorted)) % 128.05/128.22 (define @t6 () (tptp.aElement0 @t5)) % 128.05/128.22 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 128.05/128.22 (define @t8 () (@list @t5)) % 128.05/128.22 (define @t9 () (tptp.isFinite0 @t1)) % 128.05/128.22 (define @t10 () (= @t1 tptp.slcrc0)) % 128.05/128.22 (define @t11 () (tptp.isCountable0 @t1)) % 128.05/128.22 (define @t12 () (not @t9)) % 128.05/128.22 (define @t13 () (and @t2 @t11)) % 128.05/128.22 (define @t14 () (not @t10)) % 128.05/128.22 (define @t15 () (@var "W2" $$unsorted)) % 128.05/128.22 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 128.05/128.22 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 128.05/128.22 (define @t18 () (@list @t15)) % 128.05/128.22 (define @t19 () (tptp.aSet0 @t5)) % 128.05/128.22 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 128.05/128.22 (define @t21 () (tptp.isFinite0 @t5)) % 128.05/128.22 (define @t22 () (and @t2 @t9)) % 128.05/128.22 (define @t23 () (= @t1 @t5)) % 128.05/128.22 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 128.05/128.22 (define @t25 () (@list @t1 @t5)) % 128.05/128.22 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 128.05/128.22 (define @t27 () (tptp.aSet0 @t15)) % 128.05/128.22 (define @t28 () (@list @t1 @t5 @t15)) % 128.05/128.22 (define @t29 () (@var "W3" $$unsorted)) % 128.05/128.22 (define @t30 () (= @t29 @t5)) % 128.05/128.22 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 128.05/128.22 (define @t32 () (tptp.aElement0 @t29)) % 128.05/128.22 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 128.05/128.22 (define @t34 () (@list @t29)) % 128.05/128.22 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 128.05/128.22 (define @t36 () (and @t2 @t6)) % 128.05/128.22 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 128.05/128.22 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 128.05/128.22 (define @t39 () (tptp.isCountable0 @t5)) % 128.05/128.22 (define @t40 () (and @t19 @t39)) % 128.05/128.22 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 128.05/128.22 (define @t42 () (and @t19 @t21)) % 128.05/128.22 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 128.05/128.22 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 128.05/128.22 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 128.05/128.22 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 128.05/128.22 (define @t47 () (and @t44 @t46)) % 128.05/128.22 (define @t48 () (= @t1 tptp.sz00)) % 128.05/128.22 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 128.05/128.22 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 128.05/128.22 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 128.05/128.22 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 128.05/128.22 (define @t53 () (tptp.sbrdtbr0 @t1)) % 128.05/128.22 (define @t54 () (tptp.sbrdtbr0 @t5)) % 128.05/128.22 (define @t55 () (and @t2 @t46)) % 128.05/128.22 (define @t56 () (tptp.szmzizndt0 @t1)) % 128.05/128.22 (define @t57 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 128.05/128.22 (define @t58 () (tptp.szmzizndt0 @t5)) % 128.05/128.22 (define @t59 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 128.05/128.22 (define @t60 () (tptp.slbdtrb0 @t1)) % 128.05/128.22 (define @t61 () (tptp.slbdtrb0 @t5)) % 128.05/128.22 (define @t62 () (tptp.sbrdtbr0 @t29)) % 128.05/128.22 (define @t63 () (tptp.aSubsetOf0 @t29 @t1)) % 128.05/128.22 (define @t64 () (tptp.slbdtsldtrb0 @t1 @t5)) % 128.05/128.22 (define @t65 () (tptp.slbdtsldtrb0 @t5 @t1)) % 128.05/128.22 (define @t66 () (tptp.aFunction0 @t1)) % 128.05/128.22 (define @t67 () (tptp.szDzozmdt0 @t1)) % 128.05/128.22 (define @t68 () (tptp.sdtlpdtrp0 @t1 @t5)) % 128.05/128.22 (define @t69 () (tptp.aElementOf0 @t5 @t67)) % 128.05/128.22 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t29)) % 128.05/128.22 (define @t71 () (tptp.aElementOf0 @t29 @t67)) % 128.05/128.22 (define @t72 () (tptp.sdtlbdtrb0 @t1 @t5)) % 128.05/128.22 (define @t73 () (and @t66 @t6)) % 128.05/128.22 (define @t74 () (@var "W4" $$unsorted)) % 128.05/128.22 (define @t75 () (tptp.aElementOf0 @t74 @t5)) % 128.05/128.22 (define @t76 () (@list @t74)) % 128.05/128.22 (define @t77 () (tptp.sdtlcdtrc0 @t1 @t5)) % 128.05/128.22 (define @t78 () (tptp.aSubsetOf0 @t5 @t67)) % 128.05/128.22 (define @t79 () (tptp.sdtlcdtrc0 @t1 @t67)) % 128.05/128.22 (define @t80 () (tptp.szDzozmdt0 @t15)) % 128.05/128.22 (define @t81 () (tptp.aFunction0 @t15)) % 128.05/128.22 (define @t82 () (tptp.szDzizrdt0 @t1)) % 128.05/128.22 (define @t83 () (tptp.szDzozmdt0 tptp.xc)) % 128.05/128.22 (define @t84 () (tptp.sdtlcdtrc0 tptp.xc @t83)) % 128.05/128.22 (define @t85 () (tptp.aElementOf0 @t1 tptp.xT)) % 128.05/128.22 (define @t86 () (tptp.aElementOf0 @t1 @t84)) % 128.05/128.22 (define @t87 () (forall @t3 (=> @t86 @t85))) % 128.05/128.22 (define @t88 () (tptp.sdtlpdtrp0 tptp.xc @t5)) % 128.05/128.22 (define @t89 () (tptp.aElementOf0 @t5 @t83)) % 128.05/128.22 (define @t90 () (and @t89 (= @t88 @t1))) % 128.05/128.22 (define @t91 () (exists @t8 @t90)) % 128.05/128.22 (define @t92 () (= @t86 @t91)) % 128.05/128.22 (define @t93 () (forall @t3 @t92)) % 128.05/128.22 (define @t94 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 128.05/128.22 (define @t95 () (= @t83 @t94)) % 128.05/128.22 (define @t96 () (tptp.aElementOf0 @t1 @t83)) % 128.05/128.22 (define @t97 () (= @t53 tptp.xK)) % 128.05/128.22 (define @t98 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 128.05/128.22 (define @t99 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 128.05/128.22 (define @t100 () (@var "W5" $$unsorted)) % 128.05/128.22 (define @t101 () (@var "W6" $$unsorted)) % 128.05/128.22 (define @t102 () (@list @t100)) % 128.05/128.22 (define @t103 () (tptp.aElementOf0 @t29 tptp.xT)) % 128.05/128.22 (define @t104 () (tptp.sdtlcdtrc0 @t15 @t80)) % 128.05/128.22 (define @t105 () (tptp.aElementOf0 @t29 @t104)) % 128.05/128.22 (define @t106 () (tptp.aElementOf0 @t29 @t80)) % 128.05/128.22 (define @t107 () (= @t62 @t1)) % 128.05/128.22 (define @t108 () (tptp.aSubsetOf0 @t29 @t5)) % 128.05/128.22 (define @t109 () (forall @t76 (=> (tptp.aElementOf0 @t74 @t29) @t75))) % 128.05/128.22 (define @t110 () (tptp.aSet0 @t29)) % 128.05/128.22 (define @t111 () (tptp.szszuzczcdt0 tptp.xk)) % 128.05/128.22 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 128.05/128.22 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 128.05/128.22 (define @t114 () (tptp.szmzizndt0 @t113)) % 128.05/128.22 (define @t115 () (tptp.sdtmndt0 @t113 @t114)) % 128.05/128.22 (define @t116 () (tptp.aElementOf0 @t5 @t115)) % 128.05/128.22 (define @t117 () (tptp.aElementOf0 @t5 @t113)) % 128.05/128.22 (define @t118 () (forall @t8 (= @t116 (and @t6 @t117 (not (= @t5 @t114)))))) % 128.05/128.22 (define @t119 () (tptp.aSet0 @t115)) % 128.05/128.22 (define @t120 () (tptp.sdtlseqdt0 @t114 @t5)) % 128.05/128.22 (define @t121 () (forall @t8 (=> @t117 @t120))) % 128.05/128.22 (define @t122 () (tptp.aElementOf0 @t114 @t113)) % 128.05/128.22 (define @t123 () (tptp.isCountable0 @t113)) % 128.05/128.22 (define @t124 () (tptp.aSubsetOf0 @t113 tptp.szNzAzT0)) % 128.05/128.22 (define @t125 () (forall @t8 (=> @t117 @t46))) % 128.05/128.22 (define @t126 () (tptp.aSet0 @t113)) % 128.05/128.22 (define @t127 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 128.05/128.22 (define @t128 () (tptp.szDzozmdt0 tptp.xN)) % 128.05/128.22 (define @t129 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 128.05/128.22 (define @t130 () (tptp.aElementOf0 @t15 @t129)) % 128.05/128.22 (define @t131 () (tptp.aElementOf0 @t15 @t113)) % 128.05/128.22 (define @t132 () (tptp.sdtlseqdt0 @t114 @t15)) % 128.05/128.22 (define @t133 () (forall @t18 (=> @t131 @t132))) % 128.05/128.22 (define @t134 () (and @t122 @t133)) % 128.05/128.22 (define @t135 () (tptp.sdtpldt0 @t5 @t114)) % 128.05/128.22 (define @t136 () (tptp.aElementOf0 @t135 @t94)) % 128.05/128.22 (define @t137 () (tptp.sbrdtbr0 @t135)) % 128.05/128.22 (define @t138 () (tptp.aSubsetOf0 @t135 tptp.xS)) % 128.05/128.22 (define @t139 () (tptp.aElementOf0 @t15 tptp.xS)) % 128.05/128.22 (define @t140 () (tptp.aElementOf0 @t15 @t135)) % 128.05/128.22 (define @t141 () (forall @t18 (=> @t140 @t139))) % 128.05/128.22 (define @t142 () (= @t15 @t114)) % 128.05/128.22 (define @t143 () (tptp.aElement0 @t15)) % 128.05/128.22 (define @t144 () (forall @t18 (= @t140 (and @t143 (or @t17 @t142))))) % 128.05/128.22 (define @t145 () (tptp.aSet0 @t135)) % 128.05/128.22 (define @t146 () (and @t122 @t133 @t145 @t144 @t141 @t138 (= @t137 tptp.xK) @t136)) % 128.05/128.22 (define @t147 () (tptp.slbdtsldtrb0 @t115 tptp.xk)) % 128.05/128.22 (define @t148 () (tptp.aElementOf0 @t5 @t147)) % 128.05/128.22 (define @t149 () (= @t54 tptp.xk)) % 128.05/128.22 (define @t150 () (tptp.aSubsetOf0 @t5 @t115)) % 128.05/128.22 (define @t151 () (tptp.aElementOf0 @t15 @t115)) % 128.05/128.22 (define @t152 () (forall @t18 (=> @t17 @t151))) % 128.05/128.22 (define @t153 () (or @t152 @t150)) % 128.05/128.22 (define @t154 () (and @t153 @t149)) % 128.05/128.22 (define @t155 () (or @t154 @t148)) % 128.05/128.22 (define @t156 () (forall @t18 (= @t151 (and @t143 @t131 (not @t142))))) % 128.05/128.22 (define @t157 () (and @t119 @t156)) % 128.05/128.22 (define @t158 () (=> @t157 @t155)) % 128.05/128.22 (define @t159 () (=> @t134 @t158)) % 128.05/128.22 (define @t160 () (and @t19 @t159)) % 128.05/128.22 (define @t161 () (=> @t160 @t146)) % 128.05/128.22 (define @t162 () (forall @t8 @t161)) % 128.05/128.22 (define @t163 () (=> @t44 @t162)) % 128.05/128.22 (define @t164 () (forall @t3 @t163)) % 128.05/128.22 (define @t165 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 128.05/128.22 (define @t166 () (= (tptp.sdtlpdtrp0 @t165 @t5) (tptp.sdtlpdtrp0 tptp.xc @t135))) % 128.05/128.22 (define @t167 () (and @t122 @t133 @t144 @t166)) % 128.05/128.22 (define @t168 () (=> @t160 @t167)) % 128.05/128.22 (define @t169 () (forall @t8 @t168)) % 128.05/128.22 (define @t170 () (tptp.szDzozmdt0 @t165)) % 128.05/128.22 (define @t171 () (tptp.aElementOf0 @t5 @t170)) % 128.05/128.22 (define @t172 () (and @t19 @t152)) % 128.05/128.22 (define @t173 () (or @t172 @t150)) % 128.05/128.22 (define @t174 () (and @t173 @t149)) % 128.05/128.22 (define @t175 () (=> @t174 @t171)) % 128.05/128.22 (define @t176 () (and @t19 @t152 @t150 @t149)) % 128.05/128.22 (define @t177 () (=> @t171 @t176)) % 128.05/128.22 (define @t178 () (and @t177 @t175)) % 128.05/128.22 (define @t179 () (forall @t8 @t178)) % 128.05/128.22 (define @t180 () (tptp.aFunction0 @t165)) % 128.05/128.22 (define @t181 () (and @t180 @t122 @t121 @t119 @t118 @t179 (= @t170 @t147) @t169)) % 128.05/128.22 (define @t182 () (=> @t44 @t181)) % 128.05/128.22 (define @t183 () (forall @t3 @t182)) % 128.05/128.22 (define @t184 () (tptp.sdtlcdtrc0 @t165 @t170)) % 128.05/128.22 (define @t185 () (tptp.aSubsetOf0 @t184 tptp.xT)) % 128.05/128.22 (define @t186 () (tptp.aElementOf0 @t5 tptp.xT)) % 128.05/128.22 (define @t187 () (tptp.aElementOf0 @t5 @t184)) % 128.05/128.22 (define @t188 () (forall @t8 (=> @t187 @t186))) % 128.05/128.22 (define @t189 () (or @t188 @t185)) % 128.05/128.22 (define @t190 () (tptp.sdtlpdtrp0 @t165 @t15)) % 128.05/128.22 (define @t191 () (tptp.aElementOf0 @t15 @t170)) % 128.05/128.22 (define @t192 () (and @t191 (= @t190 @t5))) % 128.05/128.22 (define @t193 () (exists @t18 @t192)) % 128.05/128.22 (define @t194 () (= @t187 @t193)) % 128.05/128.22 (define @t195 () (forall @t8 @t194)) % 128.05/128.22 (define @t196 () (tptp.aSet0 @t184)) % 128.05/128.22 (define @t197 () (and @t196 @t195)) % 128.05/128.22 (define @t198 () (=> @t197 @t189)) % 128.05/128.22 (define @t199 () (=> @t44 @t198)) % 128.05/128.22 (define @t200 () (forall @t3 @t199)) % 128.05/128.22 (define @t201 () (not @t200)) % 128.05/128.22 (define @t202 () (= @t1 @t88)) % 128.05/128.22 (define @t203 () (and @t89 @t202)) % 128.05/128.22 (define @t204 () (forall @t8 (not @t203))) % 128.05/128.22 (define @t205 () (not @t204)) % 128.05/128.22 (define @t206 () (forall @t8 (or (not @t187) @t186))) % 128.05/128.22 (define @t207 () (= @t5 @t190)) % 128.05/128.22 (define @t208 () (forall @t8 (= @t187 (not (forall @t18 (or (not @t191) (not @t207))))))) % 128.05/128.22 (define @t209 () (not @t208)) % 128.05/128.22 (define @t210 () (not @t196)) % 128.05/128.22 (define @t211 () (not (tptp.aElementOf0 @t1 @t128))) % 128.05/128.22 (define @t212 () (@quantifiers_skolemize (forall @t3 (or @t211 @t210 @t209 @t206 @t185)) 0)) % 128.05/128.22 (define @t213 () (tptp.sdtlpdtrp0 tptp.xC @t212)) % 128.05/128.22 (define @t214 () (tptp.szDzozmdt0 @t213)) % 128.05/128.22 (define @t215 () (tptp.sdtlcdtrc0 @t213 @t214)) % 128.05/128.22 (define @t216 () (tptp.aElementOf0 @t5 @t215)) % 128.05/128.22 (define @t217 () (forall @t8 (or (not @t216) @t186))) % 128.05/128.22 (define @t218 () (@quantifiers_skolemize @t217 0)) % 128.05/128.22 (define @t219 () (not (= @t218 @t88))) % 128.05/128.22 (define @t220 () (not @t89)) % 128.05/128.22 (define @t221 () (or @t220 @t219)) % 128.05/128.22 (define @t222 () (forall @t8 @t221)) % 128.05/128.22 (define @t223 () (not @t222)) % 128.05/128.22 (define @t224 () (tptp.aElementOf0 @t218 @t84)) % 128.05/128.22 (define @t225 () (= @t224 @t223)) % 128.05/128.22 (define @t226 () (forall @t3 (= @t86 (not (forall @t8 (or @t220 (not @t202))))))) % 128.05/128.22 (define @t227 () (@list @t218)) % 128.05/128.22 (define @t228 () (forall @t8 (or @t220 (not (= @t88 @t218))))) % 128.05/128.22 (define @t229 () (not @t228)) % 128.05/128.22 (define @t230 () (= @t224 @t229)) % 128.05/128.22 (define @t231 () (@list false)) % 128.05/128.22 (define @t232 () (not @t44)) % 128.05/128.22 (define @t233 () (or @t232 @t210 @t209 @t206 @t185)) % 128.05/128.22 (define @t234 () (forall @t3 @t233)) % 128.05/128.22 (define @t235 () (or @t210 @t209 @t206 @t185)) % 128.05/128.22 (define @t236 () (or @t206 @t185)) % 128.05/128.22 (define @t237 () (and @t196 @t208)) % 128.05/128.22 (define @t238 () (=> @t237 @t236)) % 128.05/128.22 (define @t239 () (and @t191 @t207)) % 128.05/128.22 (define @t240 () (forall @t18 (not @t239))) % 128.05/128.22 (define @t241 () (not @t240)) % 128.05/128.22 (define @t242 () (tptp.sdtlpdtrp0 @t213 @t15)) % 128.05/128.22 (define @t243 () (not (tptp.aElementOf0 @t15 @t214))) % 128.05/128.22 (define @t244 () (forall @t8 (= @t216 (not (forall @t18 (or @t243 (not (= @t5 @t242)))))))) % 128.05/128.22 (define @t245 () (not @t244)) % 128.05/128.22 (define @t246 () (tptp.aElementOf0 @t212 @t128)) % 128.05/128.22 (define @t247 () (not @t246)) % 128.05/128.22 (define @t248 () (or @t247 (not (tptp.aSet0 @t215)) @t245 @t217 (tptp.aSubsetOf0 @t215 tptp.xT))) % 128.05/128.22 (define @t249 () (@list true)) % 128.05/128.22 (define @t250 () (@list @t248)) % 128.05/128.22 (define @t251 () (tptp.aElementOf0 @t218 tptp.xT)) % 128.05/128.22 (define @t252 () (tptp.aElementOf0 @t218 @t215)) % 128.05/128.22 (define @t253 () (not @t252)) % 128.05/128.22 (define @t254 () (or @t253 @t251)) % 128.05/128.22 (define @t255 () (@list @t254)) % 128.05/128.22 (define @t256 () (not @t224)) % 128.05/128.22 (define @t257 () (or @t256 @t251)) % 128.05/128.22 (define @t258 () (@list true false)) % 128.05/128.22 (define @t259 () (not @t230)) % 128.05/128.22 (define @t260 () (tptp.sdtlpdtrp0 tptp.xN @t212)) % 128.05/128.22 (define @t261 () (tptp.szmzizndt0 @t260)) % 128.05/128.22 (define @t262 () (forall @t18 (or @t243 (not (= @t242 @t218))))) % 128.05/128.22 (define @t263 () (@quantifiers_skolemize @t262 0)) % 128.05/128.22 (define @t264 () (tptp.sdtpldt0 @t263 @t261)) % 128.05/128.22 (define @t265 () (tptp.sdtlpdtrp0 tptp.xc @t264)) % 128.05/128.22 (define @t266 () (not (= @t265 @t218))) % 128.05/128.22 (define @t267 () (tptp.aElementOf0 @t264 @t83)) % 128.05/128.22 (define @t268 () (not @t267)) % 128.05/128.22 (define @t269 () (or @t268 @t266)) % 128.05/128.22 (define @t270 () (= @t218 @t265)) % 128.05/128.22 (define @t271 () (not @t270)) % 128.05/128.22 (define @t272 () (or @t268 @t271)) % 128.05/128.22 (define @t273 () (@var "BOUND_VARIABLE_9255" $$unsorted)) % 128.05/128.22 (define @t274 () (tptp.aElementOf0 @t273 @t170)) % 128.05/128.22 (define @t275 () (tptp.sbrdtbr0 @t273)) % 128.05/128.22 (define @t276 () (not (= tptp.xk @t275))) % 128.05/128.22 (define @t277 () (not (tptp.aElementOf0 @t15 @t273))) % 128.05/128.22 (define @t278 () (not (tptp.aSet0 @t273))) % 128.05/128.22 (define @t279 () (and (or @t278 (not (forall @t18 (or @t277 @t151)))) (not (tptp.aSubsetOf0 @t273 @t115)))) % 128.05/128.22 (define @t280 () (@list @t273)) % 128.05/128.22 (define @t281 () (forall @t280 (or @t279 @t276 @t274))) % 128.05/128.22 (define @t282 () (@var "BOUND_VARIABLE_9239" $$unsorted)) % 128.05/128.22 (define @t283 () (tptp.sbrdtbr0 @t282)) % 128.05/128.22 (define @t284 () (= tptp.xk @t283)) % 128.05/128.22 (define @t285 () (tptp.aSubsetOf0 @t282 @t115)) % 128.05/128.22 (define @t286 () (not (tptp.aElementOf0 @t15 @t282))) % 128.05/128.22 (define @t287 () (forall @t18 (or @t286 @t151))) % 128.05/128.22 (define @t288 () (tptp.aSet0 @t282)) % 128.05/128.22 (define @t289 () (not (tptp.aElementOf0 @t282 @t170))) % 128.05/128.22 (define @t290 () (@list @t282)) % 128.05/128.22 (define @t291 () (forall @t290 (or @t289 (and @t288 @t287 @t285 @t284)))) % 128.05/128.22 (define @t292 () (forall @t18 (or (not @t131) @t132))) % 128.05/128.22 (define @t293 () (and @t122 @t292 @t144 @t166)) % 128.05/128.22 (define @t294 () (not @t148)) % 128.05/128.22 (define @t295 () (not @t149)) % 128.05/128.22 (define @t296 () (not @t150)) % 128.05/128.22 (define @t297 () (not @t17)) % 128.05/128.22 (define @t298 () (forall @t18 (or @t297 @t151))) % 128.05/128.22 (define @t299 () (not @t298)) % 128.05/128.22 (define @t300 () (or (and @t299 @t296) @t295)) % 128.05/128.22 (define @t301 () (and @t122 @t292 @t119 @t156 @t300 @t294)) % 128.05/128.22 (define @t302 () (not @t19)) % 128.05/128.22 (define @t303 () (or @t302 @t301 @t293)) % 128.05/128.22 (define @t304 () (forall @t8 @t303)) % 128.05/128.22 (define @t305 () (= @t147 @t170)) % 128.05/128.22 (define @t306 () (forall @t8 (or (not @t117) @t120))) % 128.05/128.22 (define @t307 () (and @t180 @t122 @t306 @t119 @t118 @t305 @t304 @t291 @t281)) % 128.05/128.22 (define @t308 () (or @t232 @t307)) % 128.05/128.22 (define @t309 () (or @t302 @t301)) % 128.05/128.22 (define @t310 () (and @t119 @t156 @t300 @t294)) % 128.05/128.22 (define @t311 () (and @t122 @t292)) % 128.05/128.22 (define @t312 () (or @t298 @t150)) % 128.05/128.22 (define @t313 () (and @t312 @t149)) % 128.05/128.22 (define @t314 () (or @t313 @t148)) % 128.05/128.22 (define @t315 () (=> @t157 @t314)) % 128.05/128.22 (define @t316 () (=> @t311 @t315)) % 128.05/128.22 (define @t317 () (and @t19 @t316)) % 128.05/128.22 (define @t318 () (not @t317)) % 128.05/128.22 (define @t319 () (not (= @t275 tptp.xk))) % 128.05/128.22 (define @t320 () (or @t279 @t319 @t274)) % 128.05/128.22 (define @t321 () (forall @t280 @t320)) % 128.05/128.22 (define @t322 () (and @t288 @t287 @t285 (= @t283 tptp.xk))) % 128.05/128.22 (define @t323 () (or @t289 @t322)) % 128.05/128.22 (define @t324 () (forall @t290 @t323)) % 128.05/128.22 (define @t325 () (and (or @t302 @t299) @t296)) % 128.05/128.22 (define @t326 () (or @t325 @t295 @t171)) % 128.05/128.22 (define @t327 () (forall @t8 @t326)) % 128.05/128.22 (define @t328 () (@list @t5)) % 128.05/128.22 (define @t329 () (and @t19 @t298 @t150 @t149)) % 128.05/128.22 (define @t330 () (or (not @t171) @t329)) % 128.05/128.22 (define @t331 () (forall @t8 @t330)) % 128.05/128.22 (define @t332 () (and @t331 @t327)) % 128.05/128.22 (define @t333 () (and @t19 @t298)) % 128.05/128.22 (define @t334 () (or @t333 @t150)) % 128.05/128.22 (define @t335 () (and @t334 @t149)) % 128.05/128.22 (define @t336 () (and (=> @t171 @t329) (=> @t335 @t171))) % 128.05/128.22 (define @t337 () (tptp.sdtmndt0 @t260 @t261)) % 128.05/128.22 (define @t338 () (tptp.aElementOf0 @t15 @t337)) % 128.05/128.22 (define @t339 () (forall @t280 (or (and (or @t278 (not (forall @t18 (or @t277 @t338)))) (not (tptp.aSubsetOf0 @t273 @t337))) @t276 (tptp.aElementOf0 @t273 @t214)))) % 128.05/128.22 (define @t340 () (forall @t290 (or (not (tptp.aElementOf0 @t282 @t214)) (and @t288 (forall @t18 (or @t286 @t338)) (tptp.aSubsetOf0 @t282 @t337) @t284)))) % 128.05/128.22 (define @t341 () (tptp.sdtpldt0 @t5 @t261)) % 128.05/128.22 (define @t342 () (= @t15 @t261)) % 128.05/128.22 (define @t343 () (tptp.aElementOf0 @t15 @t341)) % 128.05/128.22 (define @t344 () (forall @t18 (= @t343 (and @t143 (or @t17 @t342))))) % 128.05/128.22 (define @t345 () (tptp.aElementOf0 @t15 @t260)) % 128.05/128.22 (define @t346 () (forall @t18 (or (not @t345) (tptp.sdtlseqdt0 @t261 @t15)))) % 128.05/128.22 (define @t347 () (tptp.aElementOf0 @t261 @t260)) % 128.05/128.22 (define @t348 () (tptp.slbdtsldtrb0 @t337 tptp.xk)) % 128.05/128.22 (define @t349 () (forall @t18 (= @t338 (and @t143 @t345 (not @t342))))) % 128.05/128.22 (define @t350 () (tptp.aSet0 @t337)) % 128.05/128.22 (define @t351 () (and @t347 @t346 @t350 @t349 (or (and (not (forall @t18 (or @t297 @t338))) (not (tptp.aSubsetOf0 @t5 @t337))) @t295) (not (tptp.aElementOf0 @t5 @t348)))) % 128.05/128.22 (define @t352 () (forall @t8 (or @t302 @t351 (and @t347 @t346 @t344 (= (tptp.sdtlpdtrp0 @t213 @t5) (tptp.sdtlpdtrp0 tptp.xc @t341)))))) % 128.05/128.22 (define @t353 () (tptp.aElementOf0 @t5 @t260)) % 128.05/128.22 (define @t354 () (forall @t8 (= (tptp.aElementOf0 @t5 @t337) (and @t6 @t353 (not (= @t5 @t261)))))) % 128.05/128.22 (define @t355 () (forall @t8 (or (not @t353) (tptp.sdtlseqdt0 @t261 @t5)))) % 128.05/128.22 (define @t356 () (tptp.aFunction0 @t213)) % 128.05/128.22 (define @t357 () (and @t356 @t347 @t355 @t350 @t354 (= @t348 @t214) @t352 @t340 @t339)) % 128.05/128.22 (define @t358 () (or @t247 @t357)) % 128.05/128.22 (define @t359 () (forall @t3 (or @t211 @t307))) % 128.05/128.22 (define @t360 () (@list @t212)) % 128.05/128.22 (define @t361 () (and @t356 @t347 @t355 @t350 @t354 (= @t214 @t348) @t352 @t340 @t339)) % 128.05/128.22 (define @t362 () (or @t247 @t361)) % 128.05/128.22 (define @t363 () (@list false false)) % 128.05/128.22 (define @t364 () (not @t361)) % 128.05/128.22 (define @t365 () (@list @t361)) % 128.05/128.22 (define @t366 () (tptp.sdtlpdtrp0 @t213 @t263)) % 128.05/128.22 (define @t367 () (= @t366 @t265)) % 128.05/128.22 (define @t368 () (tptp.aElementOf0 @t15 @t263)) % 128.05/128.22 (define @t369 () (tptp.aElementOf0 @t15 @t264)) % 128.05/128.22 (define @t370 () (forall @t18 (= @t369 (and @t143 (or @t368 @t342))))) % 128.05/128.22 (define @t371 () (and @t347 @t346 @t370 @t367)) % 128.05/128.22 (define @t372 () (not (tptp.aElementOf0 @t263 @t348))) % 128.05/128.22 (define @t373 () (tptp.sbrdtbr0 @t263)) % 128.05/128.22 (define @t374 () (not (= @t373 tptp.xk))) % 128.05/128.22 (define @t375 () (tptp.aSubsetOf0 @t263 @t337)) % 128.05/128.22 (define @t376 () (forall @t18 (or (not @t368) @t338))) % 128.05/128.22 (define @t377 () (not @t376)) % 128.05/128.22 (define @t378 () (and @t377 (not @t375))) % 128.05/128.22 (define @t379 () (or @t378 @t374)) % 128.05/128.22 (define @t380 () (and @t347 @t346 @t350 @t349 @t379 @t372)) % 128.05/128.22 (define @t381 () (tptp.aSet0 @t263)) % 128.05/128.22 (define @t382 () (not @t381)) % 128.05/128.22 (define @t383 () (or @t382 @t380 @t371)) % 128.05/128.22 (define @t384 () (@list @t263)) % 128.05/128.22 (define @t385 () (= tptp.xk @t373)) % 128.05/128.22 (define @t386 () (not @t385)) % 128.05/128.22 (define @t387 () (or @t378 @t386)) % 128.05/128.22 (define @t388 () (and @t347 @t346 @t350 @t349 @t387 @t372)) % 128.05/128.22 (define @t389 () (or @t382 @t388 @t371)) % 128.05/128.22 (define @t390 () (not (= @t218 @t242))) % 128.05/128.22 (define @t391 () (or @t243 @t390)) % 128.05/128.22 (define @t392 () (forall @t18 @t391)) % 128.05/128.22 (define @t393 () (not @t392)) % 128.05/128.22 (define @t394 () (= @t252 @t393)) % 128.05/128.22 (define @t395 () (not @t262)) % 128.05/128.22 (define @t396 () (= @t252 @t395)) % 128.05/128.22 (define @t397 () (= @t218 @t366)) % 128.05/128.22 (define @t398 () (not @t397)) % 128.05/128.22 (define @t399 () (tptp.aElementOf0 @t263 @t214)) % 128.05/128.22 (define @t400 () (not @t399)) % 128.05/128.22 (define @t401 () (or @t400 @t398)) % 128.05/128.22 (define @t402 () (not @t401)) % 128.05/128.22 (define @t403 () (not (= @t366 @t218))) % 128.05/128.22 (define @t404 () (or @t400 @t403)) % 128.05/128.22 (define @t405 () (not @t404)) % 128.05/128.22 (define @t406 () (@list @t401)) % 128.05/128.22 (define @t407 () (and @t381 @t376 @t375 @t385)) % 128.05/128.22 (define @t408 () (or @t400 @t407)) % 128.05/128.22 (define @t409 () (not @t407)) % 128.05/128.22 (define @t410 () (@list @t407)) % 128.05/128.22 (define @t411 () (not @t378)) % 128.05/128.22 (define @t412 () (not @t387)) % 128.05/128.22 (define @t413 () (not @t388)) % 128.05/128.22 (define @t414 () (@list false true false)) % 128.05/128.22 (define @t415 () (= tptp.xK @t137)) % 128.05/128.22 (define @t416 () (not @t140)) % 128.05/128.22 (define @t417 () (or @t416 @t139)) % 128.05/128.22 (define @t418 () (forall @t18 @t417)) % 128.05/128.22 (define @t419 () (and @t122 @t292 @t145 @t144 @t418 @t138 @t415 @t136)) % 128.05/128.22 (define @t420 () (or @t302 @t301 @t419)) % 128.05/128.22 (define @t421 () (forall @t8 @t420)) % 128.05/128.22 (define @t422 () (or @t232 @t421)) % 128.05/128.22 (define @t423 () (tptp.slbdtsldtrb0 @t127 @t111)) % 128.05/128.22 (define @t424 () (tptp.aElementOf0 @t15 @t127)) % 128.05/128.22 (define @t425 () (forall @t8 (or @t302 @t351 (and @t347 @t346 (tptp.aSet0 @t341) @t344 (forall @t18 (or (not @t343) @t424)) (tptp.aSubsetOf0 @t341 @t127) (= @t111 (tptp.sbrdtbr0 @t341)) (tptp.aElementOf0 @t341 @t423))))) % 128.05/128.22 (define @t426 () (or @t247 @t425)) % 128.05/128.22 (define @t427 () (tptp.aElementOf0 @t264 @t423)) % 128.05/128.22 (define @t428 () (and @t347 @t346 (tptp.aSet0 @t264) @t370 (forall @t18 (or (not @t369) @t424)) (tptp.aSubsetOf0 @t264 @t127) (= @t111 (tptp.sbrdtbr0 @t264)) @t427)) % 128.05/128.22 (define @t429 () (or @t382 @t380 @t428)) % 128.05/128.22 (define @t430 () (or @t382 @t388 @t428)) % 128.05/128.22 (assume @p1 (forall @t3 (=> @t2 true))) % 128.05/128.22 (assume @p2 (forall @t3 (=> @t4 true))) % 128.05/128.22 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 128.05/128.22 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 128.05/128.22 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 128.05/128.22 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 128.05/128.22 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 128.05/128.22 (assume @p8 (forall @t3 (=> @t13 @t12))) % 128.05/128.22 (assume @p9 (forall @t3 (=> @t13 @t14))) % 128.05/128.22 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 128.05/128.22 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 128.05/128.22 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 128.05/128.22 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 128.05/128.22 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 128.05/128.22 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 128.05/128.22 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 128.05/128.22 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 128.05/128.22 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 128.05/128.22 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 128.05/128.22 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 128.05/128.22 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 128.05/128.22 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 128.05/128.22 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 128.05/128.22 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 128.05/128.22 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 128.05/128.22 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 128.05/128.22 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 128.05/128.22 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 128.05/128.22 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 128.05/128.22 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 128.05/128.22 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 128.05/128.22 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 128.05/128.22 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 128.05/128.22 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 128.05/128.22 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 128.05/128.22 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 128.05/128.22 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 128.05/128.22 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 128.05/128.22 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 128.05/128.22 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 128.05/128.22 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 128.05/128.22 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 128.05/128.22 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 128.05/128.22 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 128.05/128.22 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t54 @t53)))))) % 128.05/128.22 (assume @p46 (forall @t25 (=> @t55 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 128.05/128.22 (assume @p47 (forall @t3 (=> (and @t57 @t14) (forall @t8 (= (= @t5 @t56) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 128.05/128.22 (assume @p48 (forall @t3 (=> (and @t57 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 128.05/128.22 (assume @p49 (forall @t25 (=> (and @t57 @t59 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t56 @t5) (tptp.aElementOf0 @t58 @t1)) (= @t56 @t58))))) % 128.05/128.22 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t60) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 128.05/128.22 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t60)))) % 128.05/128.22 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 128.05/128.22 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t61) @t23))))) % 128.05/128.22 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t60 @t61))))) % 128.05/128.22 (assume @p55 (forall @t3 (=> (and @t57 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t61)))))) % 128.05/128.22 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t60) @t1)))) % 128.05/128.22 (assume @p57 (forall @t25 (=> @t55 (forall @t18 (= (= @t15 @t64) (and @t27 (forall @t34 (= @t33 (and @t63 (= @t62 @t5)))))))))) % 128.05/128.22 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t64)))))) % 128.05/128.22 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t64 tptp.slcrc0))))))) % 128.05/128.22 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t64)))))) % 128.05/128.22 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t65 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t65 tptp.slcrc0))) @t26)))))) % 128.05/128.22 (assume @p62 (forall @t25 (=> @t55 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t64) (tptp.isFinite0 @t15)) (exists @t34 (and @t63 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 128.05/128.22 (assume @p63 (forall @t3 (=> @t66 true))) % 128.05/128.22 (assume @p64 (forall @t3 (=> @t66 (tptp.aSet0 @t67)))) % 128.05/128.22 (assume @p65 (forall @t3 (=> @t66 (forall @t8 (=> @t69 (tptp.aElement0 @t68)))))) % 128.05/128.22 (assume @p66 (forall @t25 (=> @t73 (forall @t18 (= (= @t15 @t72) (and @t27 (forall @t34 (= @t33 (and @t71 (= @t70 @t5)))))))))) % 128.05/128.22 (assume @p67 (forall @t25 (=> @t73 (tptp.aSubsetOf0 @t72 @t67)))) % 128.05/128.22 (assume @p68 (forall @t3 (=> @t66 (forall @t8 (=> @t78 (forall @t18 (= (= @t15 @t77) (and @t27 (forall @t34 (= @t33 (exists @t76 (and @t75 (= (tptp.sdtlpdtrp0 @t1 @t74) @t29))))))))))))) % 128.05/128.22 (assume @p69 (forall @t3 (=> @t66 (forall @t8 (=> @t69 (tptp.aElementOf0 @t68 @t79)))))) % 128.05/128.22 (assume @p70 (forall @t3 (=> @t66 (forall @t8 (=> @t78 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t81 (= @t80 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t70))))))))))) % 128.05/128.22 (assume @p71 (forall @t3 (=> @t66 (forall @t8 (=> (and @t78 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t67) @t71 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t70)))) (tptp.isCountable0 @t77))))))) % 128.05/128.22 (assume @p72 (forall @t3 (=> @t66 (=> (and (tptp.isCountable0 @t67) (tptp.isFinite0 @t79)) (and (tptp.aElement0 @t82) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t82))))))) % 128.05/128.22 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 128.05/128.22 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 128.05/128.22 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 128.05/128.22 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t96 (and @t2 @t99 @t98 @t97)) (=> (and (or (and @t2 @t99) @t98) @t97) @t96))) @t95 (tptp.aSet0 @t84) @t93 @t87 (tptp.aSubsetOf0 @t84 tptp.xT))) % 128.05/128.22 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t59) @t39) (forall @t18 (=> (and @t81 (or (forall @t34 (and (=> @t106 (and (or (and @t110 @t109) @t108) @t107)) (=> (and @t110 @t109 @t108 @t107) @t106))) (= @t80 @t65)) (=> (and (tptp.aSet0 @t104) (forall @t34 (= @t105 (exists @t76 (and (tptp.aElementOf0 @t74 @t80) (= (tptp.sdtlpdtrp0 @t15 @t74) @t29)))))) (or (forall @t34 (=> @t105 @t103)) (tptp.aSubsetOf0 @t104 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t103 (exists @t76 (and (tptp.aSet0 @t74) (forall @t102 (=> (tptp.aElementOf0 @t100 @t74) (tptp.aElementOf0 @t100 @t5))) (tptp.aSubsetOf0 @t74 @t5) (tptp.isCountable0 @t74) (forall @t102 (=> (or (and (or (and (tptp.aSet0 @t100) (forall (@list @t101) (=> (tptp.aElementOf0 @t101 @t100) (tptp.aElementOf0 @t101 @t74)))) (tptp.aSubsetOf0 @t100 @t74)) (= (tptp.sbrdtbr0 @t100) @t1)) (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t74 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t100) @t29))))))))))))))) % 128.05/128.22 (assume @p78 (not (= tptp.xK tptp.sz00))) % 128.05/128.22 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t111 tptp.xK))) % 128.05/128.22 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t128 tptp.szNzAzT0) (= @t127 tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t126 @t125) @t124) @t123) (and @t122 @t121 @t119 @t118 (tptp.aSet0 @t112) (forall @t8 (=> (tptp.aElementOf0 @t5 @t112) @t116)) (tptp.aSubsetOf0 @t112 @t115) (tptp.isCountable0 @t112))))))) % 128.05/128.22 (assume @p81 (forall @t3 (=> @t44 (and @t126 @t125 @t124 @t123)))) % 128.05/128.22 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t131 @t130)) (tptp.aSubsetOf0 @t113 @t129)))))) % 128.05/128.22 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t134 (or (and (tptp.aElementOf0 @t114 @t129) (forall @t18 (=> @t130 @t132))) (= @t114 (tptp.szmzizndt0 @t129)))))))) % 128.05/128.22 (assume @p84 @t164) % 128.05/128.22 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) @t183)) % 128.05/128.22 (assume @p86 @t201) % 128.05/128.22 (assume @p87 true) % 128.05/128.22 (step @p88 :rule bool-and-de-morgan :args (@t89 @t202 true)) % 128.05/128.22 (step @p89 :rule cong :premises (@p88) :args (@t204)) % 128.05/128.22 (step @p90 :rule cong :premises (@p89) :args (@t205)) % 128.05/128.22 (step @p91 :rule exists-elim :args ((= (exists @t8 @t203) @t205))) % 128.05/128.22 (step @p92 :rule trans :premises (@p91 @p90)) % 128.05/128.22 (step @p93 :rule eq-symm :args (@t88 @t1)) % 128.05/128.22 (step @p94 :rule refl :args (@t89)) % 128.05/128.22 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t90)) % 128.05/128.22 (step @p96 :rule cong :premises (@p95) :args (@t91)) % 128.05/128.22 (step @p97 :rule trans :premises (@p96 @p92)) % 128.05/128.22 (step @p98 :rule refl :args (@t86)) % 128.05/128.22 (step @p99 :rule cong :premises (@p98 @p97) :args (@t92)) % 128.05/128.22 (step @p100 :rule cong :premises (@p99) :args (@t93)) % 128.05/128.22 (step @p101 :rule and_elim :premises (@p76) :args (4)) % 128.05/128.22 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 128.05/128.22 (step @p103 :rule eq-symm :args (@t218 @t88)) % 128.05/128.22 (step @p104 :rule cong :premises (@p103) :args (@t219)) % 128.05/128.22 (step @p105 :rule refl :args (@t220)) % 128.05/128.22 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t221)) % 128.05/128.22 (step @p107 :rule cong :premises (@p106) :args (@t222)) % 128.05/128.22 (step @p108 :rule cong :premises (@p107) :args (@t223)) % 128.05/128.22 (step @p109 :rule refl :args (@t224)) % 128.05/128.22 (step @p110 :rule cong :premises (@p109 @p108) :args (@t225)) % 128.05/128.22 (step @p111 :rule refl :args (@t226)) % 128.05/128.22 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t226 @t225))) % 128.05/128.22 (assume-push @p559 @t226) % 128.05/128.22 (step @p114 :rule instantiate :premises (@p102) :args (@t227)) % 128.05/128.22 (step-pop @p560 :rule scope :premises (@p114)) % 128.05/128.22 (step @p115 :rule process_scope :premises (@p560) :args (@t225)) % 128.05/128.22 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 128.05/128.22 (step @p118 :rule implies_elim :premises (@p117)) % 128.05/128.22 (step @p119 :rule chain_m_resolution :premises (@p118 @p102) :args (@t230 @t231 (@list @t226))) % 128.05/128.22 (step @p120 :rule bool-impl-elim :args (@t86 @t85)) % 128.05/128.22 (step @p121 :rule cong :premises (@p120) :args (@t87)) % 128.05/128.22 (step @p122 :rule and_elim :premises (@p76) :args (5)) % 128.05/128.22 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 128.05/128.22 (step @p124 :rule instantiate :premises (@p123) :args (@t227)) % 128.05/128.22 (step @p125 :rule refl :args (@t185)) % 128.05/128.22 (step @p126 :rule refl :args (@t206)) % 128.05/128.22 (step @p127 :rule refl :args (@t209)) % 128.05/128.22 (step @p128 :rule refl :args (@t210)) % 128.05/128.22 (step @p129 :rule and_elim :premises (@p80) :args (1)) % 128.05/128.22 (step @p130 :rule symm :premises (@p129)) % 128.05/128.22 (step @p131 :rule refl :args (@t1)) % 128.05/128.22 (step @p132 :rule cong :premises (@p131 @p130) :args (@t44)) % 128.05/128.22 (step @p133 :rule cong :premises (@p132) :args (@t232)) % 128.05/128.22 (step @p134 :rule nary_cong :premises (@p133 @p128 @p127 @p126 @p125) :args (@t233)) % 128.05/128.22 (step @p135 :rule cong :premises (@p134) :args (@t234)) % 128.05/128.22 (step @p136 :rule cong :premises (@p135) :args ((not @t234))) % 128.05/128.22 (step @p137 :rule aci_norm :args ((= (or @t232 @t235) @t233))) % 128.05/128.22 (step @p138 :rule aci_norm :args ((= (or (or @t210 @t209) @t236) @t235))) % 128.05/128.22 (step @p139 :rule refl :args (@t236)) % 128.05/128.22 (step @p140 :rule bool-and-de-morgan :args (@t196 @t208 true)) % 128.05/128.22 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t237) @t236))) % 128.05/128.22 (step @p142 :rule trans :premises (@p141 @p138)) % 128.05/128.22 (step @p143 :rule bool-impl-elim :args (@t237 @t236)) % 128.05/128.22 (step @p144 :rule trans :premises (@p143 @p142)) % 128.05/128.22 (step @p145 :rule refl :args (@t232)) % 128.05/128.22 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t232 @t238))) % 128.05/128.22 (step @p147 :rule trans :premises (@p146 @p137)) % 128.05/128.22 (step @p148 :rule bool-impl-elim :args (@t44 @t238)) % 128.05/128.22 (step @p149 :rule trans :premises (@p148 @p147)) % 128.05/128.22 (step @p150 :rule cong :premises (@p149) :args ((forall @t3 (=> @t44 @t238)))) % 128.05/128.22 (step @p151 :rule bool-impl-elim :args (@t187 @t186)) % 128.05/128.22 (step @p152 :rule cong :premises (@p151) :args (@t188)) % 128.05/128.22 (step @p153 :rule nary_cong :premises (@p152 @p125) :args (@t189)) % 128.05/128.22 (step @p154 :rule bool-and-de-morgan :args (@t191 @t207 true)) % 128.05/128.22 (step @p155 :rule cong :premises (@p154) :args (@t240)) % 128.05/128.22 (step @p156 :rule cong :premises (@p155) :args (@t241)) % 128.05/128.22 (step @p157 :rule exists-elim :args ((= (exists @t18 @t239) @t241))) % 128.05/128.22 (step @p158 :rule trans :premises (@p157 @p156)) % 128.05/128.22 (step @p159 :rule eq-symm :args (@t190 @t5)) % 128.05/128.22 (step @p160 :rule refl :args (@t191)) % 128.05/128.22 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t192)) % 128.05/128.22 (step @p162 :rule cong :premises (@p161) :args (@t193)) % 128.05/128.22 (step @p163 :rule trans :premises (@p162 @p158)) % 128.05/128.22 (step @p164 :rule refl :args (@t187)) % 128.05/128.22 (step @p165 :rule cong :premises (@p164 @p163) :args (@t194)) % 128.05/128.22 (step @p166 :rule cong :premises (@p165) :args (@t195)) % 128.05/128.22 (step @p167 :rule refl :args (@t196)) % 128.05/128.22 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t197)) % 128.05/128.22 (step @p169 :rule cong :premises (@p168 @p153) :args (@t198)) % 128.05/128.22 (step @p170 :rule refl :args (@t44)) % 128.05/128.22 (step @p171 :rule cong :premises (@p170 @p169) :args (@t199)) % 128.05/128.22 (step @p172 :rule cong :premises (@p171) :args (@t200)) % 128.05/128.22 (step @p173 :rule trans :premises (@p172 @p150)) % 128.05/128.22 (step @p174 :rule cong :premises (@p173) :args (@t201)) % 128.05/128.22 (step @p175 :rule trans :premises (@p174 @p136)) % 128.05/128.22 (step @p176 :rule eq_resolve :premises (@p86 @p175)) % 128.05/128.22 (step @p177 :rule skolemize :premises (@p176)) % 128.05/128.22 (step @p178 :rule cnf_or_neg :args (@t248 3)) % 128.05/128.22 (step @p179 :rule chain_m_resolution :premises (@p178 @p177) :args ((not @t217) @t249 @t250)) % 128.05/128.22 (step @p180 :rule skolemize :premises (@p179)) % 128.05/128.22 (step @p181 :rule cnf_or_neg :args (@t254 1)) % 128.05/128.22 (step @p182 :rule chain_m_resolution :premises (@p181 @p180) :args ((not @t251) @t249 @t255)) % 128.05/128.22 (step @p183 :rule cnf_or_pos :args (@t257)) % 128.05/128.22 (step @p184 :rule reordering :premises (@p183) :args ((or @t251 @t256 (not @t257)))) % 128.05/128.22 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p124) :args (@t256 @t258 (@list @t251 @t257))) % 128.05/128.22 (step @p186 :rule bool-double-not-elim :args (@t228)) % 128.05/128.22 (step @p187 :rule refl :args (@t259)) % 128.05/128.22 (step @p188 :rule nary_cong :premises (@p187 @p109 @p186) :args ((or @t259 @t224 (not @t229)))) % 128.05/128.22 (step @p189 :rule cnf_equiv_pos2 :args (@t230)) % 128.05/128.22 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 128.05/128.22 (step @p191 :rule reordering :premises (@p190) :args ((or @t224 @t228 @t259))) % 128.05/128.22 (step @p192 :rule chain_m_resolution :premises (@p191 @p185 @p119) :args (@t228 @t258 (@list @t224 @t230))) % 128.05/128.22 (step @p193 :rule eq-symm :args (@t265 @t218)) % 128.05/128.22 (step @p194 :rule cong :premises (@p193) :args (@t266)) % 128.05/128.22 (step @p195 :rule refl :args (@t268)) % 128.05/128.22 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t269)) % 128.05/128.22 (step @p197 :rule refl :args (@t228)) % 128.05/128.22 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t228 @t269))) % 128.05/128.22 (assume-push @p561 @t228) % 128.05/128.22 (step @p200 :rule instantiate :premises (@p192) :args ((@list @t264))) % 128.05/128.22 (step-pop @p562 :rule scope :premises (@p200)) % 128.05/128.22 (step @p201 :rule process_scope :premises (@p562) :args (@t269)) % 128.05/128.22 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 128.05/128.22 (step @p204 :rule implies_elim :premises (@p203)) % 128.05/128.22 (step @p205 :rule chain_m_resolution :premises (@p204 @p192) :args (@t272 @t231 (@list @t228))) % 128.05/128.22 (step @p206 :rule refl :args (@t307)) % 128.05/128.22 (step @p207 :rule nary_cong :premises (@p133 @p206) :args (@t308)) % 128.05/128.22 (step @p208 :rule cong :premises (@p207) :args ((forall @t3 @t308))) % 128.05/128.22 (step @p209 :rule bool-impl-elim :args (@t44 @t307)) % 128.05/128.22 (step @p210 :rule cong :premises (@p209) :args ((forall @t3 (=> @t44 @t307)))) % 128.05/128.22 (step @p211 :rule aci_norm :args ((= (and @t180 @t122 @t306 @t119 @t118 (and @t291 @t281) @t305 @t304) @t307))) % 128.05/128.22 (step @p212 :rule aci_norm :args ((= (or @t309 @t293) @t303))) % 128.05/128.22 (step @p213 :rule refl :args (@t293)) % 128.05/128.22 (step @p214 :rule aci_norm :args ((= (and @t311 @t310) @t301))) % 128.05/128.22 (step @p215 :rule aci_norm :args ((= (and @t157 (and @t300 @t294)) @t310))) % 128.05/128.22 (step @p216 :rule refl :args (@t294)) % 128.05/128.22 (step @p217 :rule refl :args (@t295)) % 128.05/128.22 (step @p218 :rule bool-or-de-morgan :args (@t298 @t150 false)) % 128.05/128.22 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or (not @t312) @t295))) % 128.05/128.22 (step @p220 :rule bool-and-de-morgan :args (@t312 @t149 true)) % 128.05/128.22 (step @p221 :rule trans :premises (@p220 @p219)) % 128.05/128.22 (step @p222 :rule nary_cong :premises (@p221 @p216) :args ((and (not @t313) @t294))) % 128.05/128.22 (step @p223 :rule bool-or-de-morgan :args (@t313 @t148 false)) % 128.05/128.22 (step @p224 :rule trans :premises (@p223 @p222)) % 128.05/128.22 (step @p225 :rule refl :args (@t157)) % 128.05/128.22 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((and @t157 (not @t314)))) % 128.05/128.22 (step @p227 :rule trans :premises (@p226 @p215)) % 128.05/128.22 (step @p228 :rule bool-implies-de-morgan :args (@t157 @t314)) % 128.05/128.22 (step @p229 :rule trans :premises (@p228 @p227)) % 128.05/128.22 (step @p230 :rule refl :args (@t311)) % 128.05/128.22 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((and @t311 (not @t315)))) % 128.05/128.22 (step @p232 :rule trans :premises (@p231 @p214)) % 128.05/128.22 (step @p233 :rule bool-implies-de-morgan :args (@t311 @t315)) % 128.05/128.22 (step @p234 :rule trans :premises (@p233 @p232)) % 128.05/128.22 (step @p235 :rule refl :args (@t302)) % 128.05/128.22 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t302 (not @t316)))) % 128.05/128.22 (step @p237 :rule bool-and-de-morgan :args (@t19 @t316 true)) % 128.05/128.22 (step @p238 :rule trans :premises (@p237 @p236)) % 128.05/128.22 (step @p239 :rule nary_cong :premises (@p238 @p213) :args ((or @t318 @t293))) % 128.05/128.22 (step @p240 :rule trans :premises (@p239 @p212)) % 128.05/128.22 (step @p241 :rule bool-impl-elim :args (@t317 @t293)) % 128.05/128.22 (step @p242 :rule trans :premises (@p241 @p240)) % 128.05/128.22 (step @p243 :rule cong :premises (@p242) :args ((forall @t8 (=> @t317 @t293)))) % 128.05/128.22 (step @p244 :rule refl :args (@t166)) % 128.05/128.22 (step @p245 :rule refl :args (@t144)) % 128.05/128.22 (step @p246 :rule bool-impl-elim :args (@t131 @t132)) % 128.05/128.22 (step @p247 :rule cong :premises (@p246) :args (@t133)) % 128.05/128.22 (step @p248 :rule refl :args (@t122)) % 128.05/128.22 (step @p249 :rule nary_cong :premises (@p248 @p247 @p245 @p244) :args (@t167)) % 128.05/128.22 (step @p250 :rule refl :args (@t148)) % 128.05/128.22 (step @p251 :rule refl :args (@t149)) % 128.05/128.22 (step @p252 :rule refl :args (@t150)) % 128.05/128.22 (step @p253 :rule bool-impl-elim :args (@t17 @t151)) % 128.05/128.22 (step @p254 :rule cong :premises (@p253) :args (@t152)) % 128.05/128.22 (step @p255 :rule nary_cong :premises (@p254 @p252) :args (@t153)) % 128.05/128.22 (step @p256 :rule nary_cong :premises (@p255 @p251) :args (@t154)) % 128.05/128.22 (step @p257 :rule nary_cong :premises (@p256 @p250) :args (@t155)) % 128.05/128.22 (step @p258 :rule refl :args (@t157)) % 128.05/128.22 (step @p259 :rule cong :premises (@p258 @p257) :args (@t158)) % 128.05/128.22 (step @p260 :rule nary_cong :premises (@p248 @p247) :args (@t134)) % 128.05/128.22 (step @p261 :rule cong :premises (@p260 @p259) :args (@t159)) % 128.05/128.22 (step @p262 :rule refl :args (@t19)) % 128.05/128.22 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t160)) % 128.05/128.22 (step @p264 :rule cong :premises (@p263 @p249) :args (@t168)) % 128.05/128.22 (step @p265 :rule cong :premises (@p264) :args (@t169)) % 128.05/128.22 (step @p266 :rule trans :premises (@p265 @p243)) % 128.05/128.22 (step @p267 :rule eq-symm :args (@t170 @t147)) % 128.05/128.22 (step @p268 :rule refl :args (@t274)) % 128.05/128.22 (step @p269 :rule eq-symm :args (@t275 tptp.xk)) % 128.05/128.22 (step @p270 :rule cong :premises (@p269) :args (@t319)) % 128.05/128.22 (step @p271 :rule refl :args (@t279)) % 128.05/128.22 (step @p272 :rule nary_cong :premises (@p271 @p270 @p268) :args (@t320)) % 128.05/128.22 (step @p273 :rule cong :premises (@p272) :args (@t321)) % 128.05/128.22 (step @p274 :rule eq-symm :args (@t283 tptp.xk)) % 128.05/128.22 (step @p275 :rule refl :args (@t285)) % 128.05/128.22 (step @p276 :rule refl :args (@t287)) % 128.05/128.22 (step @p277 :rule refl :args (@t288)) % 128.05/128.22 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275 @p274) :args (@t322)) % 128.05/128.22 (step @p279 :rule refl :args (@t289)) % 128.05/128.22 (step @p280 :rule nary_cong :premises (@p279 @p278) :args (@t323)) % 128.05/128.22 (step @p281 :rule cong :premises (@p280) :args (@t324)) % 128.05/128.22 (step @p282 :rule nary_cong :premises (@p281 @p273) :args ((and @t324 @t321))) % 128.05/128.22 (step @p283 :rule alpha_equiv :args (@t327 @t328 (@list @t273))) % 128.05/128.22 (step @p284 :rule alpha_equiv :args (@t331 @t328 (@list @t282))) % 128.05/128.22 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t332)) % 128.05/128.22 (step @p286 :rule quant-miniscope-and :args ((= (forall @t8 (and @t330 @t326)) @t332))) % 128.05/128.22 (step @p287 :rule trans :premises (@p286 @p285)) % 128.05/128.22 (step @p288 :rule trans :premises (@p287 @p282)) % 128.05/128.22 (step @p289 :rule aci_norm :args ((= (or (or @t325 @t295) @t171) @t326))) % 128.05/128.22 (step @p290 :rule refl :args (@t171)) % 128.05/128.22 (step @p291 :rule refl :args (@t296)) % 128.05/128.22 (step @p292 :rule bool-and-de-morgan :args (@t19 @t298 true)) % 128.05/128.22 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((and (not @t333) @t296))) % 128.05/128.22 (step @p294 :rule bool-or-de-morgan :args (@t333 @t150 false)) % 128.05/128.22 (step @p295 :rule trans :premises (@p294 @p293)) % 128.05/128.22 (step @p296 :rule nary_cong :premises (@p295 @p217) :args ((or (not @t334) @t295))) % 128.05/128.22 (step @p297 :rule bool-and-de-morgan :args (@t334 @t149 true)) % 128.05/128.22 (step @p298 :rule trans :premises (@p297 @p296)) % 128.05/128.22 (step @p299 :rule nary_cong :premises (@p298 @p290) :args ((or (not @t335) @t171))) % 128.05/128.22 (step @p300 :rule trans :premises (@p299 @p289)) % 128.05/128.22 (step @p301 :rule bool-impl-elim :args (@t335 @t171)) % 128.05/128.22 (step @p302 :rule trans :premises (@p301 @p300)) % 128.05/128.22 (step @p303 :rule bool-impl-elim :args (@t171 @t329)) % 128.05/128.22 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t336)) % 128.05/128.22 (step @p305 :rule cong :premises (@p304) :args ((forall @t8 @t336))) % 128.05/128.22 (step @p306 :rule trans :premises (@p305 @p288)) % 128.05/128.22 (step @p307 :rule refl :args (@t171)) % 128.05/128.22 (step @p308 :rule nary_cong :premises (@p262 @p254) :args (@t172)) % 128.05/128.22 (step @p309 :rule nary_cong :premises (@p308 @p252) :args (@t173)) % 128.05/128.22 (step @p310 :rule nary_cong :premises (@p309 @p251) :args (@t174)) % 128.05/128.22 (step @p311 :rule cong :premises (@p310 @p307) :args (@t175)) % 128.05/128.22 (step @p312 :rule nary_cong :premises (@p262 @p254 @p252 @p251) :args (@t176)) % 128.05/128.22 (step @p313 :rule cong :premises (@p307 @p312) :args (@t177)) % 128.05/128.22 (step @p314 :rule nary_cong :premises (@p313 @p311) :args (@t178)) % 128.05/128.22 (step @p315 :rule cong :premises (@p314) :args (@t179)) % 128.05/128.22 (step @p316 :rule trans :premises (@p315 @p306)) % 128.05/128.22 (step @p317 :rule refl :args (@t118)) % 128.05/128.22 (step @p318 :rule refl :args (@t119)) % 128.05/128.22 (step @p319 :rule bool-impl-elim :args (@t117 @t120)) % 128.05/128.22 (step @p320 :rule cong :premises (@p319) :args (@t121)) % 128.05/128.22 (step @p321 :rule refl :args (@t180)) % 128.05/128.22 (step @p322 :rule nary_cong :premises (@p321 @p248 @p320 @p318 @p317 @p316 @p267 @p266) :args (@t181)) % 128.05/128.22 (step @p323 :rule trans :premises (@p322 @p211)) % 128.05/128.22 (step @p324 :rule cong :premises (@p170 @p323) :args (@t182)) % 128.05/128.22 (step @p325 :rule cong :premises (@p324) :args (@t183)) % 128.05/128.22 (step @p326 :rule trans :premises (@p325 @p210)) % 128.05/128.22 (step @p327 :rule trans :premises (@p326 @p208)) % 128.05/128.22 (step @p328 :rule and_elim :premises (@p85) :args (2)) % 128.05/128.22 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 128.05/128.22 (step @p330 :rule refl :args (@t339)) % 128.05/128.22 (step @p331 :rule refl :args (@t340)) % 128.05/128.22 (step @p332 :rule refl :args (@t352)) % 128.05/128.22 (step @p333 :rule eq-symm :args (@t348 @t214)) % 128.05/128.22 (step @p334 :rule refl :args (@t354)) % 128.05/128.22 (step @p335 :rule refl :args (@t350)) % 128.05/128.22 (step @p336 :rule refl :args (@t355)) % 128.05/128.22 (step @p337 :rule refl :args (@t347)) % 128.05/128.22 (step @p338 :rule refl :args (@t356)) % 128.05/128.22 (step @p339 :rule nary_cong :premises (@p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330) :args (@t357)) % 128.05/128.22 (step @p340 :rule refl :args (@t247)) % 128.05/128.22 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t358)) % 128.05/128.22 (step @p342 :rule refl :args (@t359)) % 128.05/128.22 (step @p343 :rule cong :premises (@p342 @p341) :args ((=> @t359 @t358))) % 128.05/128.22 (assume-push @p563 @t359) % 128.05/128.22 (step @p345 :rule instantiate :premises (@p329) :args (@t360)) % 128.05/128.22 (step-pop @p564 :rule scope :premises (@p345)) % 128.05/128.22 (step @p346 :rule process_scope :premises (@p564) :args (@t358)) % 128.05/128.22 (step @p348 :rule eq_resolve :premises (@p346 @p343)) % 128.05/128.22 (step @p349 :rule implies_elim :premises (@p348)) % 128.05/128.22 (step @p350 :rule chain_m_resolution :premises (@p349 @p329) :args (@t362 @t231 (@list @t359))) % 128.05/128.22 (step @p351 :rule bool-double-not-elim :args (@t246)) % 128.05/128.22 (step @p352 :rule refl :args (@t248)) % 128.05/128.22 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t248 (not @t247)))) % 128.05/128.22 (step @p354 :rule cnf_or_neg :args (@t248 0)) % 128.05/128.22 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 128.05/128.22 (step @p356 :rule reordering :premises (@p355) :args ((or @t246 @t248))) % 128.05/128.22 (step @p357 :rule chain_m_resolution :premises (@p356 @p177) :args (@t246 @t249 @t250)) % 128.05/128.22 (step @p358 :rule cnf_or_pos :args (@t362)) % 128.05/128.22 (step @p359 :rule reordering :premises (@p358) :args ((or @t247 @t361 (not @t362)))) % 128.05/128.22 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p350) :args (@t361 @t363 (@list @t246 @t362))) % 128.05/128.22 (step @p361 :rule cnf_and_pos :args (@t361 6)) % 128.05/128.22 (step @p362 :rule reordering :premises (@p361) :args ((or @t352 @t364))) % 128.05/128.22 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t352 @t231 @t365)) % 128.05/128.22 (step @p364 :rule refl :args (@t371)) % 128.05/128.22 (step @p365 :rule refl :args (@t372)) % 128.05/128.22 (step @p366 :rule eq-symm :args (@t373 tptp.xk)) % 128.05/128.22 (step @p367 :rule cong :premises (@p366) :args (@t374)) % 128.05/128.22 (step @p368 :rule refl :args (@t378)) % 128.05/128.22 (step @p369 :rule nary_cong :premises (@p368 @p367) :args (@t379)) % 128.05/128.22 (step @p370 :rule refl :args (@t349)) % 128.05/128.22 (step @p371 :rule refl :args (@t346)) % 128.05/128.22 (step @p372 :rule nary_cong :premises (@p337 @p371 @p335 @p370 @p369 @p365) :args (@t380)) % 128.05/128.22 (step @p373 :rule refl :args (@t382)) % 128.05/128.22 (step @p374 :rule nary_cong :premises (@p373 @p372 @p364) :args (@t383)) % 128.05/128.22 (step @p375 :rule cong :premises (@p332 @p374) :args ((=> @t352 @t383))) % 128.05/128.22 (assume-push @p565 @t352) % 128.05/128.22 (step @p377 :rule instantiate :premises (@p363) :args (@t384)) % 128.05/128.22 (step-pop @p566 :rule scope :premises (@p377)) % 128.05/128.22 (step @p378 :rule process_scope :premises (@p566) :args (@t383)) % 128.05/128.22 (step @p380 :rule eq_resolve :premises (@p378 @p375)) % 128.05/128.22 (step @p381 :rule implies_elim :premises (@p380)) % 128.05/128.22 (step @p382 :rule chain_m_resolution :premises (@p381 @p363) :args (@t389 @t231 (@list @t352))) % 128.05/128.22 (step @p383 :rule cnf_and_pos :args (@t361 7)) % 128.05/128.22 (step @p384 :rule reordering :premises (@p383) :args ((or @t340 @t364))) % 128.05/128.22 (step @p385 :rule chain_m_resolution :premises (@p384 @p360) :args (@t340 @t231 @t365)) % 128.05/128.22 (step @p386 :rule instantiate :premises (@p385) :args (@t384)) % 128.05/128.22 (step @p387 :rule bool-double-not-elim :args (@t244)) % 128.05/128.22 (step @p388 :rule nary_cong :premises (@p352 @p387) :args ((or @t248 (not @t245)))) % 128.05/128.22 (step @p389 :rule cnf_or_neg :args (@t248 2)) % 128.05/128.22 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 128.05/128.22 (step @p391 :rule reordering :premises (@p390) :args ((or @t244 @t248))) % 128.05/128.22 (step @p392 :rule chain_m_resolution :premises (@p391 @p177) :args (@t244 @t249 @t250)) % 128.05/128.22 (step @p393 :rule eq-symm :args (@t218 @t242)) % 128.05/128.22 (step @p394 :rule cong :premises (@p393) :args (@t390)) % 128.05/128.22 (step @p395 :rule refl :args (@t243)) % 128.05/128.22 (step @p396 :rule nary_cong :premises (@p395 @p394) :args (@t391)) % 128.05/128.22 (step @p397 :rule cong :premises (@p396) :args (@t392)) % 128.05/128.22 (step @p398 :rule cong :premises (@p397) :args (@t393)) % 128.05/128.22 (step @p399 :rule refl :args (@t252)) % 128.05/128.22 (step @p400 :rule cong :premises (@p399 @p398) :args (@t394)) % 128.05/128.22 (step @p401 :rule refl :args (@t244)) % 128.05/128.22 (step @p402 :rule cong :premises (@p401 @p400) :args ((=> @t244 @t394))) % 128.05/128.22 (assume-push @p567 @t244) % 128.05/128.22 (step @p404 :rule instantiate :premises (@p392) :args (@t227)) % 128.05/128.22 (step-pop @p568 :rule scope :premises (@p404)) % 128.05/128.22 (step @p405 :rule process_scope :premises (@p568) :args (@t394)) % 128.05/128.22 (step @p407 :rule eq_resolve :premises (@p405 @p402)) % 128.05/128.22 (step @p408 :rule implies_elim :premises (@p407)) % 128.05/128.22 (step @p409 :rule chain_m_resolution :premises (@p408 @p392) :args (@t396 @t231 (@list @t244))) % 128.05/128.22 (step @p410 :rule bool-double-not-elim :args (@t252)) % 128.05/128.22 (step @p411 :rule refl :args (@t254)) % 128.05/128.22 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or @t254 (not @t253)))) % 128.05/128.22 (step @p413 :rule cnf_or_neg :args (@t254 0)) % 128.05/128.22 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 128.05/128.22 (step @p415 :rule reordering :premises (@p414) :args ((or @t252 @t254))) % 128.05/128.22 (step @p416 :rule chain_m_resolution :premises (@p415 @p180) :args (@t252 @t249 @t255)) % 128.05/128.22 (step @p417 :rule cnf_equiv_pos1 :args (@t396)) % 128.05/128.22 (step @p418 :rule reordering :premises (@p417) :args ((or @t253 @t395 (not @t396)))) % 128.05/128.22 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p409) :args (@t395 @t363 (@list @t252 @t396))) % 128.05/128.22 (step @p420 :rule refl :args (@t402)) % 128.05/128.22 (step @p421 :rule bool-double-not-elim :args (@t262)) % 128.05/128.22 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or (not @t395) @t402))) % 128.05/128.22 (step @p423 :rule eq-symm :args (@t366 @t218)) % 128.05/128.22 (step @p424 :rule cong :premises (@p423) :args (@t403)) % 128.05/128.22 (step @p425 :rule refl :args (@t400)) % 128.05/128.22 (step @p426 :rule nary_cong :premises (@p425 @p424) :args (@t404)) % 128.05/128.22 (step @p427 :rule cong :premises (@p426) :args (@t405)) % 128.05/128.22 (step @p428 :rule refl :args (@t395)) % 128.05/128.22 (step @p429 :rule cong :premises (@p428 @p427) :args ((=> @t395 @t405))) % 128.05/128.22 (assume-push @p569 @t395) % 128.05/128.22 (step @p431 :rule skolemize :premises (@p419)) % 128.05/128.22 (step-pop @p570 :rule scope :premises (@p431)) % 128.05/128.22 (step @p432 :rule process_scope :premises (@p570) :args (@t405)) % 128.05/128.22 (step @p434 :rule eq_resolve :premises (@p432 @p429)) % 128.05/128.22 (step @p435 :rule implies_elim :premises (@p434)) % 128.05/128.22 (step @p436 :rule eq_resolve :premises (@p435 @p422)) % 128.05/128.22 (step @p437 :rule chain_m_resolution :premises (@p436 @p419) :args (@t402 @t249 (@list @t262))) % 128.05/128.22 (step @p438 :rule bool-double-not-elim :args (@t399)) % 128.05/128.22 (step @p439 :rule refl :args (@t401)) % 128.05/128.22 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t401 (not @t400)))) % 128.05/128.22 (step @p441 :rule cnf_or_neg :args (@t401 0)) % 128.05/128.22 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 128.05/128.22 (step @p443 :rule reordering :premises (@p442) :args ((or @t399 @t401))) % 128.05/128.22 (step @p444 :rule chain_m_resolution :premises (@p443 @p437) :args (@t399 @t249 @t406)) % 128.05/128.22 (step @p445 :rule cnf_or_pos :args (@t408)) % 128.05/128.22 (step @p446 :rule reordering :premises (@p445) :args ((or @t400 @t407 (not @t408)))) % 128.05/128.22 (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p386) :args (@t407 @t363 (@list @t399 @t408))) % 128.05/128.22 (step @p448 :rule cnf_and_pos :args (@t407 1)) % 128.05/128.22 (step @p449 :rule reordering :premises (@p448) :args ((or @t376 @t409))) % 128.05/128.22 (step @p450 :rule chain_m_resolution :premises (@p449 @p447) :args (@t376 @t231 @t410)) % 128.05/128.22 (step @p451 :rule cnf_and_pos :args (@t378 0)) % 128.05/128.22 (step @p452 :rule reordering :premises (@p451) :args ((or @t377 @t411))) % 128.05/128.22 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t411 @t231 (@list @t376))) % 128.05/128.22 (step @p454 :rule cnf_and_pos :args (@t407 3)) % 128.05/128.22 (step @p455 :rule reordering :premises (@p454) :args ((or @t385 @t409))) % 128.05/128.22 (step @p456 :rule chain_m_resolution :premises (@p455 @p447) :args (@t385 @t231 @t410)) % 128.05/128.22 (step @p457 :rule cnf_or_pos :args (@t387)) % 128.05/128.22 (step @p458 :rule reordering :premises (@p457) :args ((or @t386 @t378 @t412))) % 128.05/128.22 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p453) :args (@t412 (@list false true) (@list @t385 @t378))) % 128.05/128.22 (step @p460 :rule cnf_and_pos :args (@t388 4)) % 128.05/128.22 (step @p461 :rule reordering :premises (@p460) :args ((or @t387 @t413))) % 128.05/128.22 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t413 @t249 (@list @t387))) % 128.05/128.22 (step @p463 :rule cnf_and_pos :args (@t407 0)) % 128.05/128.22 (step @p464 :rule reordering :premises (@p463) :args ((or @t381 @t409))) % 128.05/128.22 (step @p465 :rule chain_m_resolution :premises (@p464 @p447) :args (@t381 @t231 @t410)) % 128.05/128.22 (step @p466 :rule cnf_or_pos :args (@t389)) % 128.05/128.22 (step @p467 :rule reordering :premises (@p466) :args ((or @t382 @t388 @t371 (not @t389)))) % 128.05/128.22 (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p462 @p382) :args (@t371 @t414 (@list @t381 @t388 @t389))) % 128.05/128.22 (step @p469 :rule cnf_and_pos :args (@t371 3)) % 128.05/128.22 (step @p470 :rule reordering :premises (@p469) :args ((or @t367 (not @t371)))) % 128.05/128.22 (step @p471 :rule chain_m_resolution :premises (@p470 @p468) :args (@t367 @t231 (@list @t371))) % 128.05/128.22 (step @p472 :rule bool-double-not-elim :args (@t397)) % 128.05/128.22 (step @p473 :rule nary_cong :premises (@p439 @p472) :args ((or @t401 (not @t398)))) % 128.05/128.22 (step @p474 :rule cnf_or_neg :args (@t401 1)) % 128.05/128.22 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 128.05/128.22 (step @p476 :rule reordering :premises (@p475) :args ((or @t397 @t401))) % 128.05/128.22 (step @p477 :rule chain_m_resolution :premises (@p476 @p437) :args (@t397 @t249 @t406)) % 128.05/128.22 (step @p478 :rule trans :premises (@p477 @p471)) % 128.05/128.22 (step @p479 :rule and_elim :premises (@p79) :args (1)) % 128.05/128.22 (step @p480 :rule symm :premises (@p479)) % 128.05/128.22 (step @p481 :rule and_elim :premises (@p80) :args (2)) % 128.05/128.22 (step @p482 :rule symm :premises (@p481)) % 128.05/128.22 (step @p483 :rule cong :premises (@p482 @p480) :args (@t94)) % 128.05/128.22 (step @p484 :rule refl :args (@t135)) % 128.05/128.22 (step @p485 :rule cong :premises (@p484 @p483) :args (@t136)) % 128.05/128.22 (step @p486 :rule refl :args (@t137)) % 128.05/128.22 (step @p487 :rule cong :premises (@p480 @p486) :args (@t415)) % 128.05/128.22 (step @p488 :rule cong :premises (@p484 @p482) :args (@t138)) % 128.05/128.22 (step @p489 :rule refl :args (@t15)) % 128.05/128.22 (step @p490 :rule cong :premises (@p489 @p482) :args (@t139)) % 128.05/128.22 (step @p491 :rule refl :args (@t416)) % 128.05/128.22 (step @p492 :rule nary_cong :premises (@p491 @p490) :args (@t417)) % 128.05/128.22 (step @p493 :rule cong :premises (@p492) :args (@t418)) % 128.05/128.22 (step @p494 :rule refl :args (@t145)) % 128.05/128.22 (step @p495 :rule refl :args (@t292)) % 128.05/128.22 (step @p496 :rule nary_cong :premises (@p248 @p495 @p494 @p245 @p493 @p488 @p487 @p485) :args (@t419)) % 128.05/128.22 (step @p497 :rule refl :args (@t301)) % 128.05/128.22 (step @p498 :rule refl :args (@t302)) % 128.05/128.22 (step @p499 :rule nary_cong :premises (@p498 @p497 @p496) :args (@t420)) % 128.05/128.22 (step @p500 :rule cong :premises (@p499) :args (@t421)) % 128.05/128.22 (step @p501 :rule nary_cong :premises (@p133 @p500) :args (@t422)) % 128.05/128.22 (step @p502 :rule cong :premises (@p501) :args ((forall @t3 @t422))) % 128.05/128.22 (step @p503 :rule bool-impl-elim :args (@t44 @t421)) % 128.05/128.22 (step @p504 :rule cong :premises (@p503) :args ((forall @t3 (=> @t44 @t421)))) % 128.05/128.22 (step @p505 :rule aci_norm :args ((= (or @t309 @t419) @t420))) % 128.05/128.22 (step @p506 :rule refl :args (@t419)) % 128.05/128.22 (step @p507 :rule nary_cong :premises (@p238 @p506) :args ((or @t318 @t419))) % 128.05/128.22 (step @p508 :rule trans :premises (@p507 @p505)) % 128.05/128.22 (step @p509 :rule bool-impl-elim :args (@t317 @t419)) % 128.05/128.22 (step @p510 :rule trans :premises (@p509 @p508)) % 128.05/128.22 (step @p511 :rule cong :premises (@p510) :args ((forall @t8 (=> @t317 @t419)))) % 128.05/128.22 (step @p512 :rule refl :args (@t136)) % 128.05/128.22 (step @p513 :rule eq-symm :args (@t137 tptp.xK)) % 128.05/128.22 (step @p514 :rule refl :args (@t138)) % 128.05/128.22 (step @p515 :rule bool-impl-elim :args (@t140 @t139)) % 128.05/128.22 (step @p516 :rule cong :premises (@p515) :args (@t141)) % 128.05/128.22 (step @p517 :rule nary_cong :premises (@p248 @p247 @p494 @p245 @p516 @p514 @p513 @p512) :args (@t146)) % 128.05/128.22 (step @p518 :rule cong :premises (@p263 @p517) :args (@t161)) % 128.05/128.22 (step @p519 :rule cong :premises (@p518) :args (@t162)) % 128.05/128.22 (step @p520 :rule trans :premises (@p519 @p511)) % 128.05/128.22 (step @p521 :rule cong :premises (@p170 @p520) :args (@t163)) % 128.05/128.22 (step @p522 :rule cong :premises (@p521) :args (@t164)) % 128.05/128.22 (step @p523 :rule trans :premises (@p522 @p504)) % 128.05/128.22 (step @p524 :rule trans :premises (@p523 @p502)) % 128.05/128.22 (step @p525 :rule eq_resolve :premises (@p84 @p524)) % 128.05/128.22 (step @p526 :rule instantiate :premises (@p525) :args (@t360)) % 128.05/128.22 (step @p527 :rule cnf_or_pos :args (@t426)) % 128.05/128.22 (step @p528 :rule reordering :premises (@p527) :args ((or @t247 @t425 (not @t426)))) % 128.05/128.22 (step @p529 :rule chain_m_resolution :premises (@p528 @p357 @p526) :args (@t425 @t363 (@list @t246 @t426))) % 128.05/128.22 (step @p530 :rule refl :args (@t428)) % 128.05/128.22 (step @p531 :rule nary_cong :premises (@p373 @p372 @p530) :args (@t429)) % 128.05/128.22 (step @p532 :rule refl :args (@t425)) % 128.05/128.22 (step @p533 :rule cong :premises (@p532 @p531) :args ((=> @t425 @t429))) % 128.05/128.22 (assume-push @p571 @t425) % 128.05/128.22 (step @p535 :rule instantiate :premises (@p529) :args (@t384)) % 128.05/128.22 (step-pop @p572 :rule scope :premises (@p535)) % 128.05/128.22 (step @p536 :rule process_scope :premises (@p572) :args (@t429)) % 128.05/128.22 (step @p538 :rule eq_resolve :premises (@p536 @p533)) % 128.05/128.22 (step @p539 :rule implies_elim :premises (@p538)) % 128.05/128.22 (step @p540 :rule chain_m_resolution :premises (@p539 @p529) :args (@t430 @t231 (@list @t425))) % 128.05/128.22 (step @p541 :rule cnf_or_pos :args (@t430)) % 128.05/128.22 (step @p542 :rule reordering :premises (@p541) :args ((or @t382 @t428 @t388 (not @t430)))) % 128.05/128.22 (step @p543 :rule chain_m_resolution :premises (@p542 @p465 @p462 @p540) :args (@t428 @t414 (@list @t381 @t388 @t430))) % 128.05/128.22 (step @p544 :rule cnf_and_pos :args (@t428 7)) % 128.05/128.22 (step @p545 :rule reordering :premises (@p544) :args ((or @t427 (not @t428)))) % 128.05/128.22 (step @p546 :rule chain_m_resolution :premises (@p545 @p543) :args (@t427 @t231 (@list @t428))) % 128.05/128.22 (step @p547 :rule true_intro :premises (@p546)) % 128.05/128.22 (step @p548 :rule refl :args (@t83)) % 128.05/128.22 (step @p549 :rule cong :premises (@p548 @p483) :args (@t95)) % 128.05/128.22 (step @p550 :rule and_elim :premises (@p76) :args (2)) % 128.05/128.22 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 128.05/128.22 (step @p552 :rule refl :args (@t264)) % 128.05/128.22 (step @p553 :rule cong :premises (@p552 @p551) :args (@t267)) % 128.05/128.22 (step @p554 :rule trans :premises (@p553 @p547)) % 128.05/128.22 (step @p555 :rule true_elim :premises (@p554)) % 128.05/128.22 (step @p556 :rule cnf_or_pos :args (@t272)) % 128.05/128.22 (step @p557 :rule reordering :premises (@p556) :args ((or @t268 @t271 (not @t272)))) % 128.05/128.22 (step @p558 false :rule chain_m_resolution :premises (@p557 @p555 @p478 @p205) :args (false (@list false false false) (@list @t267 @t270 @t272))) % 128.05/128.22 ) % 128.05/128.22 % SZS output end Proof % 128.05/128.22 % cvc5 exiting %------------------------------------------------------------------------------