%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM592+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 : n020.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 08:39:57 AM UTC 2026 % Result : Theorem 129.68s 129.93s % Output : Proof 129.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM592+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:34:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.56 %----Proving TF0_NAR, FOF, or CNF % 129.68/129.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 129.68/129.93 --- Run --no-e-matching --full-saturate-quant at 6... % 129.68/129.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 129.68/129.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 129.68/129.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 129.68/129.93 --- Run --trigger-sel=max --full-saturate-quant at 15... % 129.68/129.93 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 129.68/129.93 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 129.68/129.93 --- Run --prenex-quant=none --full-saturate-quant at 30... % 129.68/129.93 % SZS status Theorem % 129.68/129.93 % SZS output start Proof % 129.68/129.93 ( % 129.68/129.93 (declare-sort $$unsorted 0) % 129.68/129.93 (declare-const tptp.xu $$unsorted) % 129.68/129.93 (declare-const tptp.xY $$unsorted) % 129.68/129.93 (declare-const tptp.xd $$unsorted) % 129.68/129.93 (declare-const tptp.xi $$unsorted) % 129.68/129.93 (declare-const tptp.xN $$unsorted) % 129.68/129.93 (declare-const tptp.sz00 $$unsorted) % 129.68/129.93 (declare-const tptp.xC $$unsorted) % 129.68/129.93 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.szNzAzT0 $$unsorted) % 129.68/129.93 (declare-const tptp.xk $$unsorted) % 129.68/129.93 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 129.68/129.93 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.xK $$unsorted) % 129.68/129.93 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.xT $$unsorted) % 129.68/129.93 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.xS $$unsorted) % 129.68/129.93 (declare-const tptp.xc $$unsorted) % 129.68/129.93 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.xX $$unsorted) % 129.68/129.93 (declare-const tptp.slcrc0 $$unsorted) % 129.68/129.93 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 129.68/129.93 (define @t1 () (@var "W0" $$unsorted)) % 129.68/129.93 (define @t2 () (tptp.aSet0 @t1)) % 129.68/129.93 (define @t3 () (@list @t1)) % 129.68/129.93 (define @t4 () (tptp.aElement0 @t1)) % 129.68/129.93 (define @t5 () (@var "W1" $$unsorted)) % 129.68/129.93 (define @t6 () (tptp.aElement0 @t5)) % 129.68/129.93 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 129.68/129.93 (define @t8 () (@list @t5)) % 129.68/129.93 (define @t9 () (tptp.isFinite0 @t1)) % 129.68/129.93 (define @t10 () (= @t1 tptp.slcrc0)) % 129.68/129.93 (define @t11 () (tptp.isCountable0 @t1)) % 129.68/129.93 (define @t12 () (not @t9)) % 129.68/129.93 (define @t13 () (and @t2 @t11)) % 129.68/129.93 (define @t14 () (not @t10)) % 129.68/129.93 (define @t15 () (@var "W2" $$unsorted)) % 129.68/129.93 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 129.68/129.93 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 129.68/129.93 (define @t18 () (@list @t15)) % 129.68/129.93 (define @t19 () (tptp.aSet0 @t5)) % 129.68/129.93 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 129.68/129.93 (define @t21 () (tptp.isFinite0 @t5)) % 129.68/129.93 (define @t22 () (and @t2 @t9)) % 129.68/129.93 (define @t23 () (= @t1 @t5)) % 129.68/129.93 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 129.68/129.93 (define @t25 () (@list @t1 @t5)) % 129.68/129.93 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 129.68/129.93 (define @t27 () (tptp.aSet0 @t15)) % 129.68/129.93 (define @t28 () (@list @t1 @t5 @t15)) % 129.68/129.93 (define @t29 () (@var "W3" $$unsorted)) % 129.68/129.93 (define @t30 () (= @t29 @t5)) % 129.68/129.93 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 129.68/129.93 (define @t32 () (tptp.aElement0 @t29)) % 129.68/129.93 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 129.68/129.93 (define @t34 () (@list @t29)) % 129.68/129.93 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 129.68/129.93 (define @t36 () (and @t2 @t6)) % 129.68/129.93 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 129.68/129.93 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 129.68/129.93 (define @t39 () (tptp.isCountable0 @t5)) % 129.68/129.93 (define @t40 () (and @t19 @t39)) % 129.68/129.93 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 129.68/129.93 (define @t42 () (and @t19 @t21)) % 129.68/129.93 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 129.68/129.93 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 129.68/129.93 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 129.68/129.93 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 129.68/129.93 (define @t47 () (and @t44 @t46)) % 129.68/129.93 (define @t48 () (= @t1 tptp.sz00)) % 129.68/129.93 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 129.68/129.93 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 129.68/129.93 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 129.68/129.93 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 129.68/129.93 (define @t53 () (tptp.sbrdtbr0 @t1)) % 129.68/129.93 (define @t54 () (not @t7)) % 129.68/129.93 (define @t55 () (tptp.sbrdtbr0 @t5)) % 129.68/129.93 (define @t56 () (tptp.sbrdtbr0 @t15)) % 129.68/129.93 (define @t57 () (and @t2 @t46)) % 129.68/129.93 (define @t58 () (tptp.szmzizndt0 @t1)) % 129.68/129.93 (define @t59 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 129.68/129.93 (define @t60 () (tptp.szmzizndt0 @t5)) % 129.68/129.93 (define @t61 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 129.68/129.93 (define @t62 () (tptp.slbdtrb0 @t1)) % 129.68/129.93 (define @t63 () (tptp.slbdtrb0 @t5)) % 129.68/129.93 (define @t64 () (tptp.sbrdtbr0 @t29)) % 129.68/129.93 (define @t65 () (tptp.aSubsetOf0 @t29 @t1)) % 129.68/129.93 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 129.68/129.93 (define @t67 () (tptp.slbdtsldtrb0 @t5 @t1)) % 129.68/129.93 (define @t68 () (tptp.aFunction0 @t1)) % 129.68/129.93 (define @t69 () (tptp.szDzozmdt0 @t1)) % 129.68/129.93 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t5)) % 129.68/129.93 (define @t71 () (tptp.aElementOf0 @t5 @t69)) % 129.68/129.93 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t29)) % 129.68/129.93 (define @t73 () (tptp.aElementOf0 @t29 @t69)) % 129.68/129.93 (define @t74 () (tptp.sdtlbdtrb0 @t1 @t5)) % 129.68/129.93 (define @t75 () (and @t68 @t6)) % 129.68/129.93 (define @t76 () (@var "W4" $$unsorted)) % 129.68/129.93 (define @t77 () (tptp.aElementOf0 @t76 @t5)) % 129.68/129.93 (define @t78 () (@list @t76)) % 129.68/129.93 (define @t79 () (tptp.sdtlcdtrc0 @t1 @t5)) % 129.68/129.93 (define @t80 () (tptp.aSubsetOf0 @t5 @t69)) % 129.68/129.93 (define @t81 () (tptp.sdtlcdtrc0 @t1 @t69)) % 129.68/129.93 (define @t82 () (tptp.aElementOf0 @t29 @t5)) % 129.68/129.93 (define @t83 () (tptp.szDzozmdt0 @t15)) % 129.68/129.93 (define @t84 () (tptp.aFunction0 @t15)) % 129.68/129.93 (define @t85 () (tptp.szDzizrdt0 @t1)) % 129.68/129.93 (define @t86 () (tptp.szDzozmdt0 tptp.xc)) % 129.68/129.93 (define @t87 () (tptp.sdtlcdtrc0 tptp.xc @t86)) % 129.68/129.93 (define @t88 () (tptp.aElementOf0 @t1 tptp.xT)) % 129.68/129.93 (define @t89 () (tptp.aElementOf0 @t1 @t87)) % 129.68/129.93 (define @t90 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 129.68/129.93 (define @t91 () (tptp.aElementOf0 @t1 @t86)) % 129.68/129.93 (define @t92 () (= @t53 tptp.xK)) % 129.68/129.93 (define @t93 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 129.68/129.93 (define @t94 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 129.68/129.93 (define @t95 () (@var "W5" $$unsorted)) % 129.68/129.93 (define @t96 () (@var "W6" $$unsorted)) % 129.68/129.93 (define @t97 () (@list @t95)) % 129.68/129.93 (define @t98 () (tptp.aElementOf0 @t29 tptp.xT)) % 129.68/129.93 (define @t99 () (tptp.sdtlcdtrc0 @t15 @t83)) % 129.68/129.93 (define @t100 () (tptp.aElementOf0 @t29 @t99)) % 129.68/129.93 (define @t101 () (tptp.aElementOf0 @t29 @t83)) % 129.68/129.93 (define @t102 () (= @t64 @t1)) % 129.68/129.93 (define @t103 () (tptp.aSubsetOf0 @t29 @t5)) % 129.68/129.93 (define @t104 () (forall @t78 (=> (tptp.aElementOf0 @t76 @t29) @t77))) % 129.68/129.93 (define @t105 () (tptp.aSet0 @t29)) % 129.68/129.93 (define @t106 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 129.68/129.93 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 129.68/129.93 (define @t108 () (tptp.szmzizndt0 @t107)) % 129.68/129.93 (define @t109 () (tptp.sdtmndt0 @t107 @t108)) % 129.68/129.93 (define @t110 () (tptp.aElementOf0 @t5 @t109)) % 129.68/129.93 (define @t111 () (tptp.aElementOf0 @t5 @t107)) % 129.68/129.93 (define @t112 () (forall @t8 (= @t110 (and @t6 @t111 (not (= @t5 @t108)))))) % 129.68/129.93 (define @t113 () (tptp.aSet0 @t109)) % 129.68/129.93 (define @t114 () (forall @t8 (=> @t111 (tptp.sdtlseqdt0 @t108 @t5)))) % 129.68/129.93 (define @t115 () (tptp.aElementOf0 @t108 @t107)) % 129.68/129.93 (define @t116 () (tptp.isCountable0 @t107)) % 129.68/129.93 (define @t117 () (tptp.aSubsetOf0 @t107 tptp.szNzAzT0)) % 129.68/129.93 (define @t118 () (forall @t8 (=> @t111 @t46))) % 129.68/129.93 (define @t119 () (tptp.aSet0 @t107)) % 129.68/129.93 (define @t120 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 129.68/129.93 (define @t121 () (tptp.aElementOf0 @t15 @t120)) % 129.68/129.93 (define @t122 () (tptp.aElementOf0 @t15 @t107)) % 129.68/129.93 (define @t123 () (tptp.sdtlseqdt0 @t108 @t15)) % 129.68/129.93 (define @t124 () (forall @t18 (=> @t122 @t123))) % 129.68/129.93 (define @t125 () (and @t115 @t124)) % 129.68/129.93 (define @t126 () (tptp.sdtpldt0 @t5 @t108)) % 129.68/129.93 (define @t127 () (tptp.aElementOf0 @t15 @t126)) % 129.68/129.93 (define @t128 () (= @t15 @t108)) % 129.68/129.93 (define @t129 () (tptp.aElement0 @t15)) % 129.68/129.93 (define @t130 () (forall @t18 (= @t127 (and @t129 (or @t17 @t128))))) % 129.68/129.93 (define @t131 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 129.68/129.93 (define @t132 () (= @t55 tptp.xk)) % 129.68/129.93 (define @t133 () (tptp.aSubsetOf0 @t5 @t109)) % 129.68/129.93 (define @t134 () (tptp.aElementOf0 @t15 @t109)) % 129.68/129.93 (define @t135 () (forall @t18 (=> @t17 @t134))) % 129.68/129.93 (define @t136 () (and @t113 (forall @t18 (= @t134 (and @t129 @t122 (not @t128)))))) % 129.68/129.93 (define @t137 () (and @t19 (=> @t125 (=> @t136 (or (and (or @t135 @t133) @t132) (tptp.aElementOf0 @t5 @t131)))))) % 129.68/129.93 (define @t138 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 129.68/129.93 (define @t139 () (tptp.szDzozmdt0 @t138)) % 129.68/129.93 (define @t140 () (tptp.aElementOf0 @t5 @t139)) % 129.68/129.93 (define @t141 () (or (and @t19 @t135) @t133)) % 129.68/129.93 (define @t142 () (tptp.sdtlcdtrc0 @t138 @t139)) % 129.68/129.93 (define @t143 () (tptp.aElementOf0 @t5 @t142)) % 129.68/129.93 (define @t144 () (tptp.aElementOf0 @t29 @t109)) % 129.68/129.93 (define @t145 () (tptp.aElementOf0 @t29 @t107)) % 129.68/129.93 (define @t146 () (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) % 129.68/129.93 (define @t147 () (= @t56 tptp.xk)) % 129.68/129.93 (define @t148 () (tptp.aSubsetOf0 @t15 @t5)) % 129.68/129.93 (define @t149 () (forall @t34 (=> @t33 @t82))) % 129.68/129.93 (define @t150 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi)) % 129.68/129.93 (define @t151 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 129.68/129.93 (define @t152 () (tptp.szmzizndt0 @t151)) % 129.68/129.93 (define @t153 () (tptp.sdtmndt0 @t151 @t152)) % 129.68/129.93 (define @t154 () (tptp.aElementOf0 @t1 @t151)) % 129.68/129.93 (define @t155 () (tptp.aElementOf0 @t1 tptp.xY)) % 129.68/129.93 (define @t156 () (tptp.aElementOf0 @t152 @t151)) % 129.68/129.93 (define @t157 () (tptp.szDzozmdt0 tptp.xd)) % 129.68/129.93 (define @t158 () (tptp.aElementOf0 @t1 (tptp.sdtlcdtrc0 tptp.xd @t157))) % 129.68/129.93 (define @t159 () (tptp.aElementOf0 @t1 @t157)) % 129.68/129.93 (define @t160 () (= @t53 tptp.xk)) % 129.68/129.93 (define @t161 () (tptp.aSubsetOf0 @t1 tptp.xY)) % 129.68/129.93 (define @t162 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xY)))) % 129.68/129.93 (define @t163 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 129.68/129.93 (define @t164 () (tptp.slbdtsldtrb0 tptp.xX tptp.xk)) % 129.68/129.93 (define @t165 () (tptp.aElementOf0 @t1 @t164)) % 129.68/129.93 (define @t166 () (tptp.aSubsetOf0 @t1 tptp.xX)) % 129.68/129.93 (define @t167 () (tptp.aElementOf0 @t5 tptp.xX)) % 129.68/129.93 (define @t168 () (forall @t8 (=> @t7 @t167))) % 129.68/129.93 (define @t169 () (or @t168 @t166)) % 129.68/129.93 (define @t170 () (and @t169 @t160)) % 129.68/129.93 (define @t171 () (or @t170 @t165)) % 129.68/129.93 (define @t172 () (and @t2 @t171)) % 129.68/129.93 (define @t173 () (=> @t172 (= @t163 tptp.xu))) % 129.68/129.93 (define @t174 () (forall @t3 @t173)) % 129.68/129.93 (define @t175 () (tptp.isCountable0 tptp.xX)) % 129.68/129.93 (define @t176 () (tptp.aSubsetOf0 tptp.xX tptp.xY)) % 129.68/129.93 (define @t177 () (tptp.aSet0 tptp.xX)) % 129.68/129.93 (define @t178 () (tptp.aElementOf0 tptp.xu tptp.xT)) % 129.68/129.93 (define @t179 () (tptp.sdtlpdtrp0 @t150 @t15)) % 129.68/129.93 (define @t180 () (and @t27 @t149 @t148 @t147 @t146)) % 129.68/129.93 (define @t181 () (=> @t180 (= @t179 @t1))) % 129.68/129.93 (define @t182 () (forall @t18 @t181)) % 129.68/129.93 (define @t183 () (tptp.aSubsetOf0 @t5 @t153)) % 129.68/129.93 (define @t184 () (tptp.aElementOf0 @t15 @t153)) % 129.68/129.93 (define @t185 () (forall @t18 (=> @t17 @t184))) % 129.68/129.93 (define @t186 () (and @t19 @t185)) % 129.68/129.93 (define @t187 () (or @t186 @t183)) % 129.68/129.93 (define @t188 () (tptp.aElementOf0 @t15 @t151)) % 129.68/129.93 (define @t189 () (forall @t18 (= @t184 (and @t129 @t188 (not (= @t15 @t152)))))) % 129.68/129.93 (define @t190 () (tptp.aSet0 @t153)) % 129.68/129.93 (define @t191 () (and @t190 @t189)) % 129.68/129.93 (define @t192 () (=> @t191 @t187)) % 129.68/129.93 (define @t193 () (tptp.sdtlseqdt0 @t152 @t15)) % 129.68/129.93 (define @t194 () (forall @t18 (=> @t188 @t193))) % 129.68/129.93 (define @t195 () (and @t156 @t194)) % 129.68/129.93 (define @t196 () (=> @t195 @t192)) % 129.68/129.93 (define @t197 () (and @t196 @t39 @t182)) % 129.68/129.93 (define @t198 () (exists @t8 @t197)) % 129.68/129.93 (define @t199 () (and @t88 @t198)) % 129.68/129.93 (define @t200 () (exists @t3 @t199)) % 129.68/129.93 (define @t201 () (not @t200)) % 129.68/129.93 (define @t202 () (= @t1 @t179)) % 129.68/129.93 (define @t203 () (not @t146)) % 129.68/129.93 (define @t204 () (not @t147)) % 129.68/129.93 (define @t205 () (not @t148)) % 129.68/129.93 (define @t206 () (not @t33)) % 129.68/129.93 (define @t207 () (forall @t34 (or @t206 @t82))) % 129.68/129.93 (define @t208 () (not @t207)) % 129.68/129.93 (define @t209 () (not @t27)) % 129.68/129.93 (define @t210 () (or @t209 @t208 @t205 @t204 @t203 @t202)) % 129.68/129.93 (define @t211 () (forall @t18 @t210)) % 129.68/129.93 (define @t212 () (not @t211)) % 129.68/129.93 (define @t213 () (not @t39)) % 129.68/129.93 (define @t214 () (not @t183)) % 129.68/129.93 (define @t215 () (forall @t18 (or (not @t17) @t184))) % 129.68/129.93 (define @t216 () (or (not @t19) (not @t215))) % 129.68/129.93 (define @t217 () (forall @t18 (or (not @t188) @t193))) % 129.68/129.93 (define @t218 () (and @t156 @t217 @t190 @t189 @t216 @t214)) % 129.68/129.93 (define @t219 () (forall @t8 (or @t218 @t213 @t212))) % 129.68/129.93 (define @t220 () (not @t88)) % 129.68/129.93 (define @t221 () (not @t219)) % 129.68/129.93 (define @t222 () (and @t88 @t221)) % 129.68/129.93 (define @t223 () (forall @t3 (not @t222))) % 129.68/129.93 (define @t224 () (not @t223)) % 129.68/129.93 (define @t225 () (and @t190 @t189 @t216 @t214)) % 129.68/129.93 (define @t226 () (and @t156 @t217)) % 129.68/129.93 (define @t227 () (and @t19 @t215)) % 129.68/129.93 (define @t228 () (or @t227 @t183)) % 129.68/129.93 (define @t229 () (=> @t191 @t228)) % 129.68/129.93 (define @t230 () (=> @t226 @t229)) % 129.68/129.93 (define @t231 () (not @t230)) % 129.68/129.93 (define @t232 () (or @t231 @t213 @t212)) % 129.68/129.93 (define @t233 () (and @t230 @t39 @t211)) % 129.68/129.93 (define @t234 () (forall @t8 (not @t233))) % 129.68/129.93 (define @t235 () (not @t234)) % 129.68/129.93 (define @t236 () (or @t209 @t208 @t205 @t204 @t203)) % 129.68/129.93 (define @t237 () (and @t27 @t207 @t148 @t147 @t146)) % 129.68/129.93 (define @t238 () (= tptp.xu @t179)) % 129.68/129.93 (define @t239 () (forall @t8 (or @t218 @t213 (not (forall @t18 (or @t209 @t208 @t205 @t204 @t203 @t238)))))) % 129.68/129.93 (define @t240 () (not @t178)) % 129.68/129.93 (define @t241 () (or @t240 @t239)) % 129.68/129.93 (define @t242 () (tptp.aSubsetOf0 tptp.xX @t153)) % 129.68/129.93 (define @t243 () (not @t242)) % 129.68/129.93 (define @t244 () (and @t156 @t217 @t190 @t189 (or (not @t177) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xX)) @t184)))) @t243)) % 129.68/129.93 (define @t245 () (not @t244)) % 129.68/129.93 (define @t246 () (@list false)) % 129.68/129.93 (define @t247 () (tptp.aElementOf0 @t29 tptp.xX)) % 129.68/129.93 (define @t248 () (forall @t18 (or @t209 (not (forall @t34 (or @t206 @t247))) (not (tptp.aSubsetOf0 @t15 tptp.xX)) @t204 (not (tptp.aElementOf0 @t15 @t164)) @t238))) % 129.68/129.93 (define @t249 () (not @t248)) % 129.68/129.93 (define @t250 () (not @t175)) % 129.68/129.93 (define @t251 () (or @t244 @t250 @t249)) % 129.68/129.93 (define @t252 () (@quantifiers_skolemize @t248 0)) % 129.68/129.93 (define @t253 () (= tptp.xu (tptp.sdtlpdtrp0 @t150 @t252))) % 129.68/129.93 (define @t254 () (tptp.aElementOf0 @t252 @t164)) % 129.68/129.93 (define @t255 () (not @t254)) % 129.68/129.93 (define @t256 () (tptp.sbrdtbr0 @t252)) % 129.68/129.93 (define @t257 () (not (= tptp.xk @t256))) % 129.68/129.93 (define @t258 () (not (tptp.aSubsetOf0 @t252 tptp.xX))) % 129.68/129.93 (define @t259 () (not (forall @t34 (or (not (tptp.aElementOf0 @t29 @t252)) @t247)))) % 129.68/129.93 (define @t260 () (tptp.aSet0 @t252)) % 129.68/129.93 (define @t261 () (not @t260)) % 129.68/129.93 (define @t262 () (or @t261 @t259 @t258 @t257 @t255 @t253)) % 129.68/129.93 (define @t263 () (not @t262)) % 129.68/129.93 (define @t264 () (not (= @t256 tptp.xk))) % 129.68/129.93 (define @t265 () (or @t261 @t259 @t258 @t264 @t255 @t253)) % 129.68/129.93 (define @t266 () (not @t265)) % 129.68/129.93 (define @t267 () (@list true)) % 129.68/129.93 (define @t268 () (@list @t262)) % 129.68/129.93 (define @t269 () (and (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t252)) @t167))) @t258)) % 129.68/129.93 (define @t270 () (and (or @t269 @t257) @t255)) % 129.68/129.93 (define @t271 () (not @t270)) % 129.68/129.93 (define @t272 () (= tptp.xu @t163)) % 129.68/129.93 (define @t273 () (not @t165)) % 129.68/129.93 (define @t274 () (not @t160)) % 129.68/129.93 (define @t275 () (forall @t8 (or @t54 @t167))) % 129.68/129.93 (define @t276 () (and (or (and (not @t275) (not @t166)) @t274) @t273)) % 129.68/129.93 (define @t277 () (not @t2)) % 129.68/129.93 (define @t278 () (or @t277 @t276 @t272)) % 129.68/129.93 (define @t279 () (or @t275 @t166)) % 129.68/129.93 (define @t280 () (and @t279 @t160)) % 129.68/129.93 (define @t281 () (or @t280 @t165)) % 129.68/129.93 (define @t282 () (and @t2 @t281)) % 129.68/129.93 (define @t283 () (or @t269 @t264)) % 129.68/129.93 (define @t284 () (and @t283 @t255)) % 129.68/129.93 (define @t285 () (or @t261 @t284 @t253)) % 129.68/129.93 (define @t286 () (forall @t3 (or @t277 @t276 (= tptp.xu (tptp.sdtlpdtrp0 @t150 @t1))))) % 129.68/129.93 (define @t287 () (or @t261 @t270 @t253)) % 129.68/129.93 (assume @p1 (forall @t3 (=> @t2 true))) % 129.68/129.93 (assume @p2 (forall @t3 (=> @t4 true))) % 129.68/129.93 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 129.68/129.93 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 129.68/129.93 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 129.68/129.93 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 129.68/129.93 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 129.68/129.93 (assume @p8 (forall @t3 (=> @t13 @t12))) % 129.68/129.93 (assume @p9 (forall @t3 (=> @t13 @t14))) % 129.68/129.93 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 129.68/129.93 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 129.68/129.93 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 129.68/129.93 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 129.68/129.93 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 129.68/129.93 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 129.68/129.93 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 129.68/129.93 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 129.68/129.93 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 129.68/129.93 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 129.68/129.93 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 129.68/129.93 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 129.68/129.93 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 129.68/129.93 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 129.68/129.93 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 129.68/129.93 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 129.68/129.93 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 129.68/129.93 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 129.68/129.93 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 129.68/129.93 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 129.68/129.93 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 129.68/129.93 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 129.68/129.93 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 129.68/129.93 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 129.68/129.93 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 129.68/129.93 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 129.68/129.93 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 129.68/129.93 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 129.68/129.93 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 129.68/129.93 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 129.68/129.93 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 129.68/129.93 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 129.68/129.93 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 129.68/129.93 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> @t54 (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 129.68/129.93 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 129.68/129.93 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t55 @t53)))))) % 129.68/129.93 (assume @p46 (forall @t25 (=> @t57 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t56 @t5))))))) % 129.68/129.93 (assume @p47 (forall @t3 (=> (and @t59 @t14) (forall @t8 (= (= @t5 @t58) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 129.68/129.93 (assume @p48 (forall @t3 (=> (and @t59 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 129.68/129.93 (assume @p49 (forall @t25 (=> (and @t59 @t61 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t58 @t5) (tptp.aElementOf0 @t60 @t1)) (= @t58 @t60))))) % 129.68/129.93 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t62) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 129.68/129.93 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t62)))) % 129.68/129.93 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 129.68/129.93 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t63) @t23))))) % 129.68/129.93 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t62 @t63))))) % 129.68/129.93 (assume @p55 (forall @t3 (=> (and @t59 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t63)))))) % 129.68/129.93 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t62) @t1)))) % 129.68/129.93 (assume @p57 (forall @t25 (=> @t57 (forall @t18 (= (= @t15 @t66) (and @t27 (forall @t34 (= @t33 (and @t65 (= @t64 @t5)))))))))) % 129.68/129.93 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t66)))))) % 129.68/129.93 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t66 tptp.slcrc0))))))) % 129.68/129.93 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 129.68/129.93 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t67 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t67 tptp.slcrc0))) @t26)))))) % 129.68/129.93 (assume @p62 (forall @t25 (=> @t57 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t66) (tptp.isFinite0 @t15)) (exists @t34 (and @t65 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 129.68/129.93 (assume @p63 (forall @t3 (=> @t68 true))) % 129.68/129.93 (assume @p64 (forall @t3 (=> @t68 (tptp.aSet0 @t69)))) % 129.68/129.93 (assume @p65 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElement0 @t70)))))) % 129.68/129.93 (assume @p66 (forall @t25 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (and @t73 (= @t72 @t5)))))))))) % 129.68/129.93 (assume @p67 (forall @t25 (=> @t75 (tptp.aSubsetOf0 @t74 @t69)))) % 129.68/129.93 (assume @p68 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 @t79) (and @t27 (forall @t34 (= @t33 (exists @t78 (and @t77 (= (tptp.sdtlpdtrp0 @t1 @t76) @t29))))))))))))) % 129.68/129.93 (assume @p69 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElementOf0 @t70 @t81)))))) % 129.68/129.93 (assume @p70 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t84 (= @t83 @t5) (forall @t34 (=> @t82 (= (tptp.sdtlpdtrp0 @t15 @t29) @t72))))))))))) % 129.68/129.93 (assume @p71 (forall @t3 (=> @t68 (forall @t8 (=> (and @t80 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t69) @t73 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t72)))) (tptp.isCountable0 @t79))))))) % 129.68/129.93 (assume @p72 (forall @t3 (=> @t68 (=> (and (tptp.isCountable0 @t69) (tptp.isFinite0 @t81)) (and (tptp.aElement0 @t85) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t85))))))) % 129.68/129.93 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 129.68/129.93 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 129.68/129.93 (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))) % 129.68/129.93 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t91 (and @t2 @t94 @t93 @t92)) (=> (and (or (and @t2 @t94) @t93) @t92) @t91))) (= @t86 @t90) (tptp.aSet0 @t87) (forall @t3 (= @t89 (exists @t8 (and (tptp.aElementOf0 @t5 @t86) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t89 @t88)) (tptp.aSubsetOf0 @t87 tptp.xT))) % 129.68/129.93 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t61) @t39) (forall @t18 (=> (and @t84 (or (forall @t34 (and (=> @t101 (and (or (and @t105 @t104) @t103) @t102)) (=> (and @t105 @t104 @t103 @t102) @t101))) (= @t83 @t67)) (=> (and (tptp.aSet0 @t99) (forall @t34 (= @t100 (exists @t78 (and (tptp.aElementOf0 @t76 @t83) (= (tptp.sdtlpdtrp0 @t15 @t76) @t29)))))) (or (forall @t34 (=> @t100 @t98)) (tptp.aSubsetOf0 @t99 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t98 (exists @t78 (and (tptp.aSet0 @t76) (forall @t97 (=> (tptp.aElementOf0 @t95 @t76) (tptp.aElementOf0 @t95 @t5))) (tptp.aSubsetOf0 @t76 @t5) (tptp.isCountable0 @t76) (forall @t97 (=> (or (and (or (and (tptp.aSet0 @t95) (forall (@list @t96) (=> (tptp.aElementOf0 @t96 @t95) (tptp.aElementOf0 @t96 @t76)))) (tptp.aSubsetOf0 @t95 @t76)) (= (tptp.sbrdtbr0 @t95) @t1)) (tptp.aElementOf0 @t95 (tptp.slbdtsldtrb0 @t76 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t95) @t29))))))))))))))) % 129.68/129.93 (assume @p78 (not (= tptp.xK tptp.sz00))) % 129.68/129.93 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 129.68/129.93 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t119 @t118) @t117) @t116) (and @t115 @t114 @t113 @t112 (tptp.aSet0 @t106) (forall @t8 (=> (tptp.aElementOf0 @t5 @t106) @t110)) (tptp.aSubsetOf0 @t106 @t109) (tptp.isCountable0 @t106))))))) % 129.68/129.93 (assume @p81 (forall @t3 (=> @t44 (and @t119 @t118 @t117 @t116)))) % 129.68/129.93 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t122 @t121)) (tptp.aSubsetOf0 @t107 @t120)))))) % 129.68/129.93 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t125 (or (and (tptp.aElementOf0 @t108 @t120) (forall @t18 (=> @t121 @t123))) (= @t108 (tptp.szmzizndt0 @t120)))))))) % 129.68/129.93 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t137 (and @t115 @t124 (tptp.aSet0 @t126) @t130 (forall @t18 (=> @t127 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t126 tptp.xS) (= (tptp.sbrdtbr0 @t126) tptp.xK) (tptp.aElementOf0 @t126 @t90))))))) % 129.68/129.93 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t138) @t115 @t114 @t113 @t112 (forall @t8 (and (=> @t140 (and @t19 @t135 @t133 @t132)) (=> (and @t141 @t132) @t140))) (= @t139 @t131) (forall @t8 (=> @t137 (and @t115 @t124 @t130 (= (tptp.sdtlpdtrp0 @t138 @t5) (tptp.sdtlpdtrp0 tptp.xc @t126)))))))))) % 129.68/129.93 (assume @p86 (forall @t3 (=> @t44 (and (tptp.aSet0 @t142) (forall @t8 (= @t143 (exists @t18 (and (tptp.aElementOf0 @t15 @t139) (= (tptp.sdtlpdtrp0 @t138 @t15) @t5))))) (forall @t8 (=> @t143 (tptp.aElementOf0 @t5 tptp.xT))) (tptp.aSubsetOf0 @t142 tptp.xT))))) % 129.68/129.93 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (=> @t125 (=> @t136 @t141)) @t39) (forall @t18 (=> (and @t27 (or (and (or @t149 @t148) @t147) @t146)) (and @t115 (forall @t34 (=> @t145 (tptp.sdtlseqdt0 @t108 @t29))) @t113 (forall @t34 (= @t144 (and @t32 @t145 (not (= @t29 @t108))))) (forall @t34 (=> @t33 @t144)) (tptp.aSubsetOf0 @t15 @t109) (tptp.aElementOf0 @t15 @t131))))))))) % 129.68/129.93 (assume @p88 (tptp.iLess0 tptp.xk tptp.xK)) % 129.68/129.93 (assume @p89 (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 129.68/129.93 (assume @p90 (and @t156 (forall @t3 (=> @t154 (tptp.sdtlseqdt0 @t152 @t1))) (tptp.aSet0 tptp.xY) (forall @t3 (= @t155 (and @t4 @t154 (not (= @t1 @t152))))) (= tptp.xY @t153) (= tptp.xd @t150))) % 129.68/129.93 (assume @p91 (and (forall @t3 (=> @t155 @t44)) (tptp.aSubsetOf0 tptp.xY tptp.szNzAzT0) (tptp.isCountable0 tptp.xY) (tptp.aFunction0 tptp.xd) (forall @t3 (and (=> @t159 (and @t2 @t162 @t161 @t160)) (=> (and (or (and @t2 @t162) @t161) @t160) @t159))) (forall @t3 (= @t158 (exists @t8 (and (tptp.aElementOf0 @t5 @t157) (= (tptp.sdtlpdtrp0 tptp.xd @t5) @t1))))) (forall @t3 (=> @t158 @t88)))) % 129.68/129.93 (assume @p92 (and @t178 @t177 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xX) @t155)) @t176 @t175 @t174)) % 129.68/129.93 (assume @p93 @t201) % 129.68/129.93 (assume @p94 true) % 129.68/129.93 (step @p95 :rule bool-double-not-elim :args ((forall @t3 (or @t220 @t219)))) % 129.68/129.93 (step @p96 :rule bool-double-not-elim :args (@t219)) % 129.68/129.93 (step @p97 :rule refl :args (@t220)) % 129.68/129.93 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t220 (not @t221)))) % 129.68/129.93 (step @p99 :rule bool-and-de-morgan :args (@t88 @t221 true)) % 129.68/129.93 (step @p100 :rule trans :premises (@p99 @p98)) % 129.68/129.93 (step @p101 :rule cong :premises (@p100) :args (@t223)) % 129.68/129.93 (step @p102 :rule cong :premises (@p101) :args (@t224)) % 129.68/129.93 (step @p103 :rule exists-elim :args ((= (exists @t3 @t222) @t224))) % 129.68/129.93 (step @p104 :rule trans :premises (@p103 @p102)) % 129.68/129.93 (step @p105 :rule refl :args (@t212)) % 129.68/129.93 (step @p106 :rule refl :args (@t213)) % 129.68/129.93 (step @p107 :rule aci_norm :args ((= (and @t226 @t225) @t218))) % 129.68/129.93 (step @p108 :rule aci_norm :args ((= (and @t191 (and @t216 @t214)) @t225))) % 129.68/129.93 (step @p109 :rule refl :args (@t214)) % 129.68/129.93 (step @p110 :rule bool-and-de-morgan :args (@t19 @t215 true)) % 129.68/129.93 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((and (not @t227) @t214))) % 129.68/129.93 (step @p112 :rule bool-or-de-morgan :args (@t227 @t183 false)) % 129.68/129.93 (step @p113 :rule trans :premises (@p112 @p111)) % 129.68/129.93 (step @p114 :rule refl :args (@t191)) % 129.68/129.93 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((and @t191 (not @t228)))) % 129.68/129.93 (step @p116 :rule trans :premises (@p115 @p108)) % 129.68/129.93 (step @p117 :rule bool-implies-de-morgan :args (@t191 @t228)) % 129.68/129.93 (step @p118 :rule trans :premises (@p117 @p116)) % 129.68/129.93 (step @p119 :rule refl :args (@t226)) % 129.68/129.93 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((and @t226 (not @t229)))) % 129.68/129.93 (step @p121 :rule trans :premises (@p120 @p107)) % 129.68/129.93 (step @p122 :rule bool-implies-de-morgan :args (@t226 @t229)) % 129.68/129.93 (step @p123 :rule trans :premises (@p122 @p121)) % 129.68/129.93 (step @p124 :rule nary_cong :premises (@p123 @p106 @p105) :args (@t232)) % 129.68/129.93 (step @p125 :rule aci_norm :args ((= (or @t231 (or @t213 @t212)) @t232))) % 129.68/129.93 (step @p126 :rule bool-and-de-morgan :args (@t39 @t211 true)) % 129.68/129.93 (step @p127 :rule refl :args (@t231)) % 129.68/129.93 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t231 (not (and @t39 @t211))))) % 129.68/129.93 (step @p129 :rule bool-and-de-morgan :args (@t230 @t39 (and @t211))) % 129.68/129.93 (step @p130 :rule trans :premises (@p129 @p128)) % 129.68/129.93 (step @p131 :rule trans :premises (@p130 @p125)) % 129.68/129.93 (step @p132 :rule trans :premises (@p131 @p124)) % 129.68/129.93 (step @p133 :rule cong :premises (@p132) :args (@t234)) % 129.68/129.93 (step @p134 :rule cong :premises (@p133) :args (@t235)) % 129.68/129.93 (step @p135 :rule exists-elim :args ((= (exists @t8 @t233) @t235))) % 129.68/129.93 (step @p136 :rule trans :premises (@p135 @p134)) % 129.68/129.93 (step @p137 :rule aci_norm :args ((= (or @t236 @t202) @t210))) % 129.68/129.93 (step @p138 :rule refl :args (@t202)) % 129.68/129.93 (step @p139 :rule aci_norm :args ((= (or @t209 (or @t208 (or @t205 (or @t204 @t203)))) @t236))) % 129.68/129.93 (step @p140 :rule bool-and-de-morgan :args (@t147 @t146 true)) % 129.68/129.93 (step @p141 :rule refl :args (@t205)) % 129.68/129.93 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t205 (not (and @t147 @t146))))) % 129.68/129.93 (step @p143 :rule bool-and-de-morgan :args (@t148 @t147 (and @t146))) % 129.68/129.93 (step @p144 :rule trans :premises (@p143 @p142)) % 129.68/129.93 (step @p145 :rule refl :args (@t208)) % 129.68/129.93 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t208 (not (and @t148 @t147 @t146))))) % 129.68/129.93 (step @p147 :rule bool-and-de-morgan :args (@t207 @t148 (and @t147 @t146))) % 129.68/129.93 (step @p148 :rule trans :premises (@p147 @p146)) % 129.68/129.93 (step @p149 :rule refl :args (@t209)) % 129.68/129.93 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t209 (not (and @t207 @t148 @t147 @t146))))) % 129.68/129.93 (step @p151 :rule bool-and-de-morgan :args (@t27 @t207 (and @t148 @t147 @t146))) % 129.68/129.93 (step @p152 :rule trans :premises (@p151 @p150)) % 129.68/129.93 (step @p153 :rule trans :premises (@p152 @p139)) % 129.68/129.93 (step @p154 :rule nary_cong :premises (@p153 @p138) :args ((or (not @t237) @t202))) % 129.68/129.93 (step @p155 :rule trans :premises (@p154 @p137)) % 129.68/129.93 (step @p156 :rule bool-impl-elim :args (@t237 @t202)) % 129.68/129.93 (step @p157 :rule trans :premises (@p156 @p155)) % 129.68/129.93 (step @p158 :rule cong :premises (@p157) :args ((forall @t18 (=> @t237 @t202)))) % 129.68/129.93 (step @p159 :rule eq-symm :args (@t179 @t1)) % 129.68/129.93 (step @p160 :rule refl :args (@t146)) % 129.68/129.93 (step @p161 :rule refl :args (@t147)) % 129.68/129.93 (step @p162 :rule refl :args (@t148)) % 129.68/129.93 (step @p163 :rule bool-impl-elim :args (@t33 @t82)) % 129.68/129.93 (step @p164 :rule cong :premises (@p163) :args (@t149)) % 129.68/129.93 (step @p165 :rule refl :args (@t27)) % 129.68/129.93 (step @p166 :rule nary_cong :premises (@p165 @p164 @p162 @p161 @p160) :args (@t180)) % 129.68/129.93 (step @p167 :rule cong :premises (@p166 @p159) :args (@t181)) % 129.68/129.93 (step @p168 :rule cong :premises (@p167) :args (@t182)) % 129.68/129.93 (step @p169 :rule trans :premises (@p168 @p158)) % 129.68/129.93 (step @p170 :rule refl :args (@t39)) % 129.68/129.93 (step @p171 :rule refl :args (@t183)) % 129.68/129.93 (step @p172 :rule bool-impl-elim :args (@t17 @t184)) % 129.68/129.93 (step @p173 :rule cong :premises (@p172) :args (@t185)) % 129.68/129.93 (step @p174 :rule refl :args (@t19)) % 129.68/129.93 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t186)) % 129.68/129.93 (step @p176 :rule nary_cong :premises (@p175 @p171) :args (@t187)) % 129.68/129.93 (step @p177 :rule refl :args (@t191)) % 129.68/129.93 (step @p178 :rule cong :premises (@p177 @p176) :args (@t192)) % 129.68/129.93 (step @p179 :rule bool-impl-elim :args (@t188 @t193)) % 129.68/129.93 (step @p180 :rule cong :premises (@p179) :args (@t194)) % 129.68/129.93 (step @p181 :rule refl :args (@t156)) % 129.68/129.93 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t195)) % 129.68/129.93 (step @p183 :rule cong :premises (@p182 @p178) :args (@t196)) % 129.68/129.93 (step @p184 :rule nary_cong :premises (@p183 @p170 @p169) :args (@t197)) % 129.68/129.93 (step @p185 :rule cong :premises (@p184) :args (@t198)) % 129.68/129.93 (step @p186 :rule trans :premises (@p185 @p136)) % 129.68/129.93 (step @p187 :rule refl :args (@t88)) % 129.68/129.93 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t199)) % 129.68/129.93 (step @p189 :rule cong :premises (@p188) :args (@t200)) % 129.68/129.93 (step @p190 :rule trans :premises (@p189 @p104)) % 129.68/129.93 (step @p191 :rule cong :premises (@p190) :args (@t201)) % 129.68/129.93 (step @p192 :rule trans :premises (@p191 @p95)) % 129.68/129.93 (step @p193 :rule eq_resolve :premises (@p93 @p192)) % 129.68/129.93 (step @p194 :rule instantiate :premises (@p193) :args ((@list tptp.xu))) % 129.68/129.93 (step @p195 :rule and_elim :premises (@p92) :args (0)) % 129.68/129.93 (step @p196 :rule cnf_or_pos :args (@t241)) % 129.68/129.93 (step @p197 :rule reordering :premises (@p196) :args ((or @t240 @t239 (not @t241)))) % 129.68/129.93 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p194) :args (@t239 (@list false false) (@list @t178 @t241))) % 129.68/129.93 (step @p199 :rule instantiate :premises (@p198) :args ((@list tptp.xX))) % 129.68/129.93 (step @p200 :rule and_elim :premises (@p90) :args (4)) % 129.68/129.93 (step @p201 :rule refl :args (tptp.xX)) % 129.68/129.93 (step @p202 :rule cong :premises (@p201 @p200) :args (@t176)) % 129.68/129.93 (step @p203 :rule and_elim :premises (@p92) :args (3)) % 129.68/129.93 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 129.68/129.93 (step @p205 :rule cnf_and_pos :args (@t244 5)) % 129.68/129.93 (step @p206 :rule reordering :premises (@p205) :args ((or @t243 @t245))) % 129.68/129.93 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t245 @t246 (@list @t242))) % 129.68/129.93 (step @p208 :rule and_elim :premises (@p92) :args (4)) % 129.68/129.93 (step @p209 :rule cnf_or_pos :args (@t251)) % 129.68/129.93 (step @p210 :rule reordering :premises (@p209) :args ((or @t250 @t244 @t249 (not @t251)))) % 129.68/129.93 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p207 @p199) :args (@t249 (@list false true false) (@list @t175 @t244 @t251))) % 129.68/129.93 (step @p212 :rule refl :args (@t263)) % 129.68/129.93 (step @p213 :rule bool-double-not-elim :args (@t248)) % 129.68/129.93 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or (not @t249) @t263))) % 129.68/129.93 (step @p215 :rule refl :args (@t253)) % 129.68/129.93 (step @p216 :rule refl :args (@t255)) % 129.68/129.93 (step @p217 :rule eq-symm :args (@t256 tptp.xk)) % 129.68/129.93 (step @p218 :rule cong :premises (@p217) :args (@t264)) % 129.68/129.93 (step @p219 :rule refl :args (@t258)) % 129.68/129.93 (step @p220 :rule refl :args (@t259)) % 129.68/129.93 (step @p221 :rule refl :args (@t261)) % 129.68/129.93 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p216 @p215) :args (@t265)) % 129.68/129.93 (step @p223 :rule cong :premises (@p222) :args (@t266)) % 129.68/129.93 (step @p224 :rule refl :args (@t249)) % 129.68/129.93 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t249 @t266))) % 129.68/129.93 (assume-push @p314 @t249) % 129.68/129.93 (step @p227 :rule skolemize :premises (@p211)) % 129.68/129.93 (step-pop @p315 :rule scope :premises (@p227)) % 129.68/129.93 (step @p228 :rule process_scope :premises (@p315) :args (@t266)) % 129.68/129.93 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 129.68/129.93 (step @p231 :rule implies_elim :premises (@p230)) % 129.68/129.93 (step @p232 :rule eq_resolve :premises (@p231 @p214)) % 129.68/129.93 (step @p233 :rule chain_m_resolution :premises (@p232 @p211) :args (@t263 @t267 (@list @t248))) % 129.68/129.93 (step @p234 :rule bool-double-not-elim :args (@t260)) % 129.68/129.93 (step @p235 :rule refl :args (@t262)) % 129.68/129.93 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t262 (not @t261)))) % 129.68/129.93 (step @p237 :rule cnf_or_neg :args (@t262 0)) % 129.68/129.93 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 129.68/129.93 (step @p239 :rule reordering :premises (@p238) :args ((or @t260 @t262))) % 129.68/129.93 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t260 @t267 @t268)) % 129.68/129.93 (step @p241 :rule cnf_or_neg :args (@t262 5)) % 129.68/129.93 (step @p242 :rule chain_m_resolution :premises (@p241 @p233) :args ((not @t253) @t267 @t268)) % 129.68/129.93 (step @p243 :rule bool-double-not-elim :args (@t254)) % 129.68/129.93 (step @p244 :rule nary_cong :premises (@p235 @p243) :args ((or @t262 (not @t255)))) % 129.68/129.93 (step @p245 :rule cnf_or_neg :args (@t262 4)) % 129.68/129.93 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 129.68/129.93 (step @p247 :rule reordering :premises (@p246) :args ((or @t254 @t262))) % 129.68/129.93 (step @p248 :rule chain_m_resolution :premises (@p247 @p233) :args (@t254 @t267 @t268)) % 129.68/129.93 (step @p249 :rule cnf_and_pos :args (@t270 1)) % 129.68/129.93 (step @p250 :rule reordering :premises (@p249) :args ((or @t255 @t271))) % 129.68/129.93 (step @p251 :rule chain_m_resolution :premises (@p250 @p248) :args (@t271 @t246 (@list @t254))) % 129.68/129.93 (step @p252 :rule refl :args (@t1)) % 129.68/129.93 (step @p253 :rule and_elim :premises (@p90) :args (5)) % 129.68/129.93 (step @p254 :rule cong :premises (@p253 @p252) :args (@t163)) % 129.68/129.93 (step @p255 :rule refl :args (tptp.xu)) % 129.68/129.93 (step @p256 :rule cong :premises (@p255 @p254) :args (@t272)) % 129.68/129.93 (step @p257 :rule refl :args (@t276)) % 129.68/129.93 (step @p258 :rule refl :args (@t277)) % 129.68/129.93 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256) :args (@t278)) % 129.68/129.93 (step @p260 :rule cong :premises (@p259) :args ((forall @t3 @t278))) % 129.68/129.93 (step @p261 :rule aci_norm :args ((= (or (or @t277 @t276) @t272) @t278))) % 129.68/129.93 (step @p262 :rule refl :args (@t272)) % 129.68/129.93 (step @p263 :rule refl :args (@t273)) % 129.68/129.93 (step @p264 :rule refl :args (@t274)) % 129.68/129.93 (step @p265 :rule bool-or-de-morgan :args (@t275 @t166 false)) % 129.68/129.93 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or (not @t279) @t274))) % 129.68/129.93 (step @p267 :rule bool-and-de-morgan :args (@t279 @t160 true)) % 129.68/129.93 (step @p268 :rule trans :premises (@p267 @p266)) % 129.68/129.93 (step @p269 :rule nary_cong :premises (@p268 @p263) :args ((and (not @t280) @t273))) % 129.68/129.93 (step @p270 :rule bool-or-de-morgan :args (@t280 @t165 false)) % 129.68/129.93 (step @p271 :rule trans :premises (@p270 @p269)) % 129.68/129.93 (step @p272 :rule refl :args (@t277)) % 129.68/129.93 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t277 (not @t281)))) % 129.68/129.93 (step @p274 :rule bool-and-de-morgan :args (@t2 @t281 true)) % 129.68/129.93 (step @p275 :rule trans :premises (@p274 @p273)) % 129.68/129.93 (step @p276 :rule nary_cong :premises (@p275 @p262) :args ((or (not @t282) @t272))) % 129.68/129.93 (step @p277 :rule trans :premises (@p276 @p261)) % 129.68/129.93 (step @p278 :rule bool-impl-elim :args (@t282 @t272)) % 129.68/129.93 (step @p279 :rule trans :premises (@p278 @p277)) % 129.68/129.93 (step @p280 :rule cong :premises (@p279) :args ((forall @t3 (=> @t282 @t272)))) % 129.68/129.93 (step @p281 :rule eq-symm :args (@t163 tptp.xu)) % 129.68/129.93 (step @p282 :rule refl :args (@t165)) % 129.68/129.93 (step @p283 :rule refl :args (@t160)) % 129.68/129.93 (step @p284 :rule refl :args (@t166)) % 129.68/129.93 (step @p285 :rule bool-impl-elim :args (@t7 @t167)) % 129.68/129.93 (step @p286 :rule cong :premises (@p285) :args (@t168)) % 129.68/129.93 (step @p287 :rule nary_cong :premises (@p286 @p284) :args (@t169)) % 129.68/129.93 (step @p288 :rule nary_cong :premises (@p287 @p283) :args (@t170)) % 129.68/129.93 (step @p289 :rule nary_cong :premises (@p288 @p282) :args (@t171)) % 129.68/129.93 (step @p290 :rule refl :args (@t2)) % 129.68/129.93 (step @p291 :rule nary_cong :premises (@p290 @p289) :args (@t172)) % 129.68/129.93 (step @p292 :rule cong :premises (@p291 @p281) :args (@t173)) % 129.68/129.93 (step @p293 :rule cong :premises (@p292) :args (@t174)) % 129.68/129.93 (step @p294 :rule trans :premises (@p293 @p280)) % 129.68/129.93 (step @p295 :rule trans :premises (@p294 @p260)) % 129.68/129.93 (step @p296 :rule and_elim :premises (@p92) :args (5)) % 129.68/129.93 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 129.68/129.93 (step @p298 :rule refl :args (@t269)) % 129.68/129.93 (step @p299 :rule nary_cong :premises (@p298 @p218) :args (@t283)) % 129.68/129.93 (step @p300 :rule nary_cong :premises (@p299 @p216) :args (@t284)) % 129.68/129.93 (step @p301 :rule nary_cong :premises (@p221 @p300 @p215) :args (@t285)) % 129.68/129.93 (step @p302 :rule refl :args (@t286)) % 129.68/129.93 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t286 @t285))) % 129.68/129.93 (assume-push @p316 @t286) % 129.68/129.93 (step @p305 :rule instantiate :premises (@p297) :args ((@list @t252))) % 129.68/129.93 (step-pop @p317 :rule scope :premises (@p305)) % 129.68/129.93 (step @p306 :rule process_scope :premises (@p317) :args (@t285)) % 129.68/129.93 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 129.68/129.93 (step @p309 :rule implies_elim :premises (@p308)) % 129.68/129.93 (step @p310 :rule chain_m_resolution :premises (@p309 @p297) :args (@t287 @t246 (@list @t286))) % 129.68/129.93 (step @p311 :rule cnf_or_pos :args (@t287)) % 129.68/129.93 (step @p312 :rule reordering :premises (@p311) :args ((or @t261 @t253 @t270 (not @t287)))) % 129.68/129.93 (step @p313 false :rule chain_m_resolution :premises (@p312 @p310 @p251 @p242 @p240) :args (false (@list false true true false) (@list @t287 @t270 @t253 @t260))) % 129.68/129.93 ) % 129.68/129.93 % SZS output end Proof % 129.68/129.93 % cvc5 exiting %------------------------------------------------------------------------------