%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM633+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 : n003.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 08:40:05 AM UTC 2026 % Result : Theorem 113.59s 113.88s % Output : Proof 113.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM633+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 11:38:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 113.59/113.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.59/113.88 --- Run --no-e-matching --full-saturate-quant at 6... % 113.59/113.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.59/113.88 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.59/113.88 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.59/113.88 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.59/113.88 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.59/113.88 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.59/113.88 % SZS status Theorem % 113.59/113.88 % SZS output start Proof % 113.59/113.88 ( % 113.59/113.88 (declare-sort $$unsorted 0) % 113.59/113.88 (declare-const tptp.xN $$unsorted) % 113.59/113.88 (declare-const tptp.sz00 $$unsorted) % 113.59/113.88 (declare-const tptp.xC $$unsorted) % 113.59/113.88 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.szNzAzT0 $$unsorted) % 113.59/113.88 (declare-const tptp.xk $$unsorted) % 113.59/113.88 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.xd $$unsorted) % 113.59/113.88 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.xO $$unsorted) % 113.59/113.88 (declare-const tptp.xe $$unsorted) % 113.59/113.88 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 113.59/113.88 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.xK $$unsorted) % 113.59/113.88 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.xT $$unsorted) % 113.59/113.88 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.xS $$unsorted) % 113.59/113.88 (declare-const tptp.xc $$unsorted) % 113.59/113.88 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.slcrc0 $$unsorted) % 113.59/113.88 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 113.59/113.88 (define @t1 () (@var "W0" $$unsorted)) % 113.59/113.88 (define @t2 () (tptp.aSet0 @t1)) % 113.59/113.88 (define @t3 () (@list @t1)) % 113.59/113.88 (define @t4 () (tptp.aElement0 @t1)) % 113.59/113.88 (define @t5 () (@var "W1" $$unsorted)) % 113.59/113.88 (define @t6 () (tptp.aElement0 @t5)) % 113.59/113.88 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 113.59/113.88 (define @t8 () (@list @t5)) % 113.59/113.88 (define @t9 () (tptp.isFinite0 @t1)) % 113.59/113.88 (define @t10 () (exists @t8 @t7)) % 113.59/113.88 (define @t11 () (not @t10)) % 113.59/113.88 (define @t12 () (= @t1 tptp.slcrc0)) % 113.59/113.88 (define @t13 () (tptp.isCountable0 @t1)) % 113.59/113.88 (define @t14 () (not @t9)) % 113.59/113.88 (define @t15 () (and @t2 @t13)) % 113.59/113.88 (define @t16 () (not @t12)) % 113.59/113.88 (define @t17 () (@var "W2" $$unsorted)) % 113.59/113.88 (define @t18 () (tptp.aElementOf0 @t17 @t1)) % 113.59/113.88 (define @t19 () (tptp.aElementOf0 @t17 @t5)) % 113.59/113.88 (define @t20 () (@list @t17)) % 113.59/113.88 (define @t21 () (tptp.aSet0 @t5)) % 113.59/113.88 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 113.59/113.88 (define @t23 () (tptp.isFinite0 @t5)) % 113.59/113.88 (define @t24 () (and @t2 @t9)) % 113.59/113.88 (define @t25 () (= @t1 @t5)) % 113.59/113.88 (define @t26 () (tptp.aSubsetOf0 @t1 @t5)) % 113.59/113.88 (define @t27 () (@list @t1 @t5)) % 113.59/113.88 (define @t28 () (tptp.aSubsetOf0 @t5 @t17)) % 113.59/113.88 (define @t29 () (tptp.aSet0 @t17)) % 113.59/113.88 (define @t30 () (@list @t1 @t5 @t17)) % 113.59/113.88 (define @t31 () (@var "W3" $$unsorted)) % 113.59/113.88 (define @t32 () (= @t31 @t5)) % 113.59/113.88 (define @t33 () (tptp.aElementOf0 @t31 @t1)) % 113.59/113.88 (define @t34 () (tptp.aElement0 @t31)) % 113.59/113.88 (define @t35 () (tptp.aElementOf0 @t31 @t17)) % 113.59/113.88 (define @t36 () (@list @t31)) % 113.59/113.88 (define @t37 () (tptp.sdtpldt0 @t1 @t5)) % 113.59/113.88 (define @t38 () (and @t2 @t6)) % 113.59/113.88 (define @t39 () (tptp.sdtmndt0 @t1 @t5)) % 113.59/113.88 (define @t40 () (tptp.sdtpldt0 @t5 @t1)) % 113.59/113.88 (define @t41 () (tptp.isCountable0 @t5)) % 113.59/113.88 (define @t42 () (and @t21 @t41)) % 113.59/113.88 (define @t43 () (tptp.sdtmndt0 @t5 @t1)) % 113.59/113.88 (define @t44 () (and @t21 @t23)) % 113.59/113.88 (define @t45 () (tptp.szszuzczcdt0 @t1)) % 113.59/113.88 (define @t46 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 113.59/113.88 (define @t47 () (tptp.szszuzczcdt0 @t5)) % 113.59/113.88 (define @t48 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 113.59/113.88 (define @t49 () (and @t46 @t48)) % 113.59/113.88 (define @t50 () (= @t1 tptp.sz00)) % 113.59/113.88 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 113.59/113.88 (define @t52 () (tptp.sdtlseqdt0 @t5 @t1)) % 113.59/113.88 (define @t53 () (tptp.sdtlseqdt0 @t5 @t17)) % 113.59/113.88 (define @t54 () (tptp.aElementOf0 @t17 tptp.szNzAzT0)) % 113.59/113.88 (define @t55 () (tptp.sbrdtbr0 @t1)) % 113.59/113.88 (define @t56 () (not @t7)) % 113.59/113.88 (define @t57 () (tptp.sbrdtbr0 @t5)) % 113.59/113.88 (define @t58 () (tptp.sbrdtbr0 @t17)) % 113.59/113.88 (define @t59 () (and @t2 @t48)) % 113.59/113.88 (define @t60 () (tptp.szmzizndt0 @t1)) % 113.59/113.88 (define @t61 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 113.59/113.88 (define @t62 () (tptp.szmzizndt0 @t5)) % 113.59/113.88 (define @t63 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 113.59/113.88 (define @t64 () (tptp.slbdtrb0 @t1)) % 113.59/113.88 (define @t65 () (tptp.slbdtrb0 @t5)) % 113.59/113.88 (define @t66 () (tptp.sbrdtbr0 @t31)) % 113.59/113.88 (define @t67 () (tptp.aSubsetOf0 @t31 @t1)) % 113.59/113.88 (define @t68 () (tptp.slbdtsldtrb0 @t1 @t5)) % 113.59/113.88 (define @t69 () (tptp.slbdtsldtrb0 @t5 @t1)) % 113.59/113.88 (define @t70 () (tptp.aFunction0 @t1)) % 113.59/113.88 (define @t71 () (tptp.szDzozmdt0 @t1)) % 113.59/113.88 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t5)) % 113.59/113.88 (define @t73 () (tptp.aElementOf0 @t5 @t71)) % 113.59/113.88 (define @t74 () (tptp.sdtlpdtrp0 @t1 @t31)) % 113.59/113.88 (define @t75 () (tptp.aElementOf0 @t31 @t71)) % 113.59/113.88 (define @t76 () (tptp.sdtlbdtrb0 @t1 @t5)) % 113.59/113.88 (define @t77 () (and @t70 @t6)) % 113.59/113.88 (define @t78 () (@var "W4" $$unsorted)) % 113.59/113.88 (define @t79 () (tptp.aElementOf0 @t78 @t5)) % 113.59/113.88 (define @t80 () (@list @t78)) % 113.59/113.88 (define @t81 () (tptp.sdtlcdtrc0 @t1 @t5)) % 113.59/113.88 (define @t82 () (tptp.aSubsetOf0 @t5 @t71)) % 113.59/113.88 (define @t83 () (tptp.sdtlcdtrc0 @t1 @t71)) % 113.59/113.88 (define @t84 () (tptp.aElementOf0 @t31 @t5)) % 113.59/113.88 (define @t85 () (tptp.szDzozmdt0 @t17)) % 113.59/113.88 (define @t86 () (tptp.aFunction0 @t17)) % 113.59/113.88 (define @t87 () (tptp.szDzizrdt0 @t1)) % 113.59/113.88 (define @t88 () (tptp.aElementOf0 @t1 tptp.xS)) % 113.59/113.88 (define @t89 () (tptp.szDzozmdt0 tptp.xc)) % 113.59/113.88 (define @t90 () (tptp.sdtlcdtrc0 tptp.xc @t89)) % 113.59/113.88 (define @t91 () (tptp.aElementOf0 @t1 tptp.xT)) % 113.59/113.88 (define @t92 () (tptp.aElementOf0 @t1 @t90)) % 113.59/113.88 (define @t93 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 113.59/113.88 (define @t94 () (tptp.aElementOf0 @t1 @t89)) % 113.59/113.88 (define @t95 () (= @t55 tptp.xK)) % 113.59/113.88 (define @t96 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 113.59/113.88 (define @t97 () (tptp.aElementOf0 @t5 tptp.xS)) % 113.59/113.88 (define @t98 () (forall @t8 (=> @t7 @t97))) % 113.59/113.88 (define @t99 () (@var "W5" $$unsorted)) % 113.59/113.88 (define @t100 () (@var "W6" $$unsorted)) % 113.59/113.88 (define @t101 () (@list @t99)) % 113.59/113.88 (define @t102 () (tptp.aElementOf0 @t31 tptp.xT)) % 113.59/113.88 (define @t103 () (tptp.sdtlcdtrc0 @t17 @t85)) % 113.59/113.88 (define @t104 () (tptp.aElementOf0 @t31 @t103)) % 113.59/113.88 (define @t105 () (tptp.aElementOf0 @t31 @t85)) % 113.59/113.88 (define @t106 () (= @t66 @t1)) % 113.59/113.88 (define @t107 () (tptp.aSubsetOf0 @t31 @t5)) % 113.59/113.88 (define @t108 () (tptp.aElementOf0 @t78 @t31)) % 113.59/113.88 (define @t109 () (forall @t80 (=> @t108 @t79))) % 113.59/113.88 (define @t110 () (tptp.aSet0 @t31)) % 113.59/113.88 (define @t111 () (tptp.szszuzczcdt0 tptp.xk)) % 113.59/113.88 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t45)) % 113.59/113.88 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 113.59/113.88 (define @t114 () (tptp.szmzizndt0 @t113)) % 113.59/113.88 (define @t115 () (tptp.sdtmndt0 @t113 @t114)) % 113.59/113.88 (define @t116 () (tptp.aElementOf0 @t5 @t115)) % 113.59/113.88 (define @t117 () (tptp.aElementOf0 @t5 @t113)) % 113.59/113.88 (define @t118 () (forall @t8 (= @t116 (and @t6 @t117 (not (= @t5 @t114)))))) % 113.59/113.88 (define @t119 () (tptp.aSet0 @t115)) % 113.59/113.88 (define @t120 () (forall @t8 (=> @t117 (tptp.sdtlseqdt0 @t114 @t5)))) % 113.59/113.88 (define @t121 () (tptp.aElementOf0 @t114 @t113)) % 113.59/113.88 (define @t122 () (tptp.isCountable0 @t113)) % 113.59/113.88 (define @t123 () (tptp.aSubsetOf0 @t113 tptp.szNzAzT0)) % 113.59/113.88 (define @t124 () (forall @t8 (=> @t117 @t48))) % 113.59/113.88 (define @t125 () (tptp.aSet0 @t113)) % 113.59/113.88 (define @t126 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 113.59/113.88 (define @t127 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 113.59/113.88 (define @t128 () (tptp.aElementOf0 @t17 @t127)) % 113.59/113.88 (define @t129 () (tptp.aElementOf0 @t17 @t113)) % 113.59/113.88 (define @t130 () (tptp.sdtlseqdt0 @t114 @t17)) % 113.59/113.88 (define @t131 () (forall @t20 (=> @t129 @t130))) % 113.59/113.88 (define @t132 () (and @t121 @t131)) % 113.59/113.88 (define @t133 () (tptp.sdtpldt0 @t5 @t114)) % 113.59/113.88 (define @t134 () (tptp.aElementOf0 @t17 tptp.xS)) % 113.59/113.88 (define @t135 () (tptp.aElementOf0 @t17 @t133)) % 113.59/113.88 (define @t136 () (= @t17 @t114)) % 113.59/113.88 (define @t137 () (tptp.aElement0 @t17)) % 113.59/113.88 (define @t138 () (forall @t20 (= @t135 (and @t137 (or @t19 @t136))))) % 113.59/113.88 (define @t139 () (tptp.slbdtsldtrb0 @t115 tptp.xk)) % 113.59/113.88 (define @t140 () (= @t57 tptp.xk)) % 113.59/113.88 (define @t141 () (tptp.aSubsetOf0 @t5 @t115)) % 113.59/113.88 (define @t142 () (tptp.aElementOf0 @t17 @t115)) % 113.59/113.88 (define @t143 () (forall @t20 (=> @t19 @t142))) % 113.59/113.88 (define @t144 () (and @t119 (forall @t20 (= @t142 (and @t137 @t129 (not @t136)))))) % 113.59/113.88 (define @t145 () (and @t21 (=> @t132 (=> @t144 (or (and (or @t143 @t141) @t140) (tptp.aElementOf0 @t5 @t139)))))) % 113.59/113.88 (define @t146 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 113.59/113.88 (define @t147 () (tptp.sdtlpdtrp0 @t146 @t5)) % 113.59/113.88 (define @t148 () (tptp.szDzozmdt0 @t146)) % 113.59/113.88 (define @t149 () (tptp.aElementOf0 @t5 @t148)) % 113.59/113.88 (define @t150 () (or (and @t21 @t143) @t141)) % 113.59/113.88 (define @t151 () (tptp.sdtlcdtrc0 @t146 @t148)) % 113.59/113.88 (define @t152 () (tptp.aElementOf0 @t5 tptp.xT)) % 113.59/113.88 (define @t153 () (tptp.aElementOf0 @t5 @t151)) % 113.59/113.88 (define @t154 () (= (tptp.sdtlpdtrp0 @t146 @t17) @t5)) % 113.59/113.88 (define @t155 () (tptp.aSubsetOf0 @t17 @t115)) % 113.59/113.88 (define @t156 () (tptp.aElementOf0 @t31 @t115)) % 113.59/113.88 (define @t157 () (forall @t36 (=> @t35 @t156))) % 113.59/113.88 (define @t158 () (tptp.aElementOf0 @t31 @t113)) % 113.59/113.88 (define @t159 () (forall @t36 (= @t156 (and @t34 @t158 (not (= @t31 @t114)))))) % 113.59/113.88 (define @t160 () (forall @t36 (=> @t158 (tptp.sdtlseqdt0 @t114 @t31)))) % 113.59/113.88 (define @t161 () (= @t58 tptp.xk)) % 113.59/113.88 (define @t162 () (tptp.aSubsetOf0 @t17 @t5)) % 113.59/113.88 (define @t163 () (forall @t36 (=> @t35 @t84))) % 113.59/113.88 (define @t164 () (tptp.slbdtsldtrb0 @t112 tptp.xk)) % 113.59/113.88 (define @t165 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 113.59/113.88 (define @t166 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 113.59/113.88 (define @t167 () (tptp.szDzozmdt0 tptp.xd)) % 113.59/113.88 (define @t168 () (tptp.sdtlcdtrc0 tptp.xd @t167)) % 113.59/113.88 (define @t169 () (tptp.aElementOf0 @t1 @t168)) % 113.59/113.88 (define @t170 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 113.59/113.88 (define @t171 () (tptp.szDzizrdt0 tptp.xd)) % 113.59/113.88 (define @t172 () (tptp.sdtlbdtrb0 tptp.xd @t171)) % 113.59/113.88 (define @t173 () (forall @t3 (= (tptp.aElementOf0 @t1 @t172) (and (tptp.aElementOf0 @t1 @t167) (= @t166 @t171))))) % 113.59/113.88 (define @t174 () (tptp.aSet0 @t172)) % 113.59/113.88 (define @t175 () (tptp.aElementOf0 @t171 tptp.xT)) % 113.59/113.88 (define @t176 () (tptp.sdtlcdtrc0 tptp.xe @t172)) % 113.59/113.88 (define @t177 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 113.59/113.88 (define @t178 () (tptp.aElementOf0 @t5 @t172)) % 113.59/113.88 (define @t179 () (exists @t8 (and @t178 @t177))) % 113.59/113.88 (define @t180 () (tptp.aElementOf0 @t1 tptp.xO)) % 113.59/113.88 (define @t181 () (tptp.aSet0 tptp.xO)) % 113.59/113.88 (define @t182 () (tptp.isCountable0 tptp.xO)) % 113.59/113.88 (define @t183 () (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 113.59/113.88 (define @t184 () (tptp.sdtlpdtrp0 tptp.xc @t17)) % 113.59/113.88 (define @t185 () (tptp.aElementOf0 @t17 (tptp.slbdtsldtrb0 @t5 tptp.xK))) % 113.59/113.88 (define @t186 () (= @t58 tptp.xK)) % 113.59/113.88 (define @t187 () (and @t29 @t163 @t162 @t186 @t185)) % 113.59/113.88 (define @t188 () (=> @t187 (= @t184 @t1))) % 113.59/113.88 (define @t189 () (forall @t20 @t188)) % 113.59/113.88 (define @t190 () (tptp.aSubsetOf0 @t5 tptp.xS)) % 113.59/113.88 (define @t191 () (forall @t20 (=> @t19 @t134))) % 113.59/113.88 (define @t192 () (and @t21 @t191)) % 113.59/113.88 (define @t193 () (or @t192 @t190)) % 113.59/113.88 (define @t194 () (and @t193 @t41 @t189)) % 113.59/113.88 (define @t195 () (exists @t8 @t194)) % 113.59/113.88 (define @t196 () (and @t91 @t195)) % 113.59/113.88 (define @t197 () (exists @t3 @t196)) % 113.59/113.88 (define @t198 () (tptp.sdtlpdtrp0 tptp.xc @t1)) % 113.59/113.88 (define @t199 () (forall @t8 (=> @t7 @t48))) % 113.59/113.88 (define @t200 () (or @t11 @t12)) % 113.59/113.88 (define @t201 () (not @t200)) % 113.59/113.88 (define @t202 () (and @t201 @t199 @t61 @t98 @t96 @t98 @t96 @t94 (= @t198 @t171))) % 113.59/113.88 (define @t203 () (tptp.slbdtsldtrb0 tptp.xO tptp.xK)) % 113.59/113.88 (define @t204 () (tptp.aElementOf0 @t1 @t203)) % 113.59/113.88 (define @t205 () (tptp.aSubsetOf0 @t1 tptp.xO)) % 113.59/113.88 (define @t206 () (tptp.aElementOf0 @t5 tptp.xO)) % 113.59/113.88 (define @t207 () (forall @t8 (=> @t7 @t206))) % 113.59/113.88 (define @t208 () (and @t2 @t207)) % 113.59/113.88 (define @t209 () (or @t208 @t205)) % 113.59/113.88 (define @t210 () (and @t209 @t95)) % 113.59/113.88 (define @t211 () (or @t210 @t204)) % 113.59/113.88 (define @t212 () (=> @t211 @t202)) % 113.59/113.88 (define @t213 () (forall @t3 @t212)) % 113.59/113.88 (define @t214 () (=> @t213 @t197)) % 113.59/113.88 (define @t215 () (not @t214)) % 113.59/113.88 (define @t216 () (= @t1 @t184)) % 113.59/113.88 (define @t217 () (@var "BOUND_VARIABLE_11583" $$unsorted)) % 113.59/113.88 (define @t218 () (tptp.slbdtsldtrb0 @t217 tptp.xK)) % 113.59/113.88 (define @t219 () (tptp.aElementOf0 @t17 @t218)) % 113.59/113.88 (define @t220 () (not @t219)) % 113.59/113.88 (define @t221 () (not @t186)) % 113.59/113.88 (define @t222 () (not (tptp.aSubsetOf0 @t17 @t217))) % 113.59/113.88 (define @t223 () (not @t35)) % 113.59/113.88 (define @t224 () (not (forall @t36 (or @t223 (tptp.aElementOf0 @t31 @t217))))) % 113.59/113.88 (define @t225 () (not @t29)) % 113.59/113.88 (define @t226 () (or @t225 @t224 @t222 @t221 @t220 @t216)) % 113.59/113.88 (define @t227 () (forall @t20 @t226)) % 113.59/113.88 (define @t228 () (not @t227)) % 113.59/113.88 (define @t229 () (not (tptp.isCountable0 @t217))) % 113.59/113.88 (define @t230 () (tptp.aSubsetOf0 @t217 tptp.xS)) % 113.59/113.88 (define @t231 () (not @t230)) % 113.59/113.88 (define @t232 () (not (tptp.aElementOf0 @t17 @t217))) % 113.59/113.88 (define @t233 () (or @t232 @t134)) % 113.59/113.88 (define @t234 () (forall @t20 @t233)) % 113.59/113.88 (define @t235 () (not @t234)) % 113.59/113.88 (define @t236 () (not (tptp.aSet0 @t217))) % 113.59/113.88 (define @t237 () (or @t236 @t235)) % 113.59/113.88 (define @t238 () (and @t237 @t231)) % 113.59/113.88 (define @t239 () (not @t91)) % 113.59/113.88 (define @t240 () (or @t239 @t238 @t229 @t228)) % 113.59/113.88 (define @t241 () (@list @t1 @t217)) % 113.59/113.88 (define @t242 () (forall @t241 @t240)) % 113.59/113.88 (define @t243 () (not @t242)) % 113.59/113.88 (define @t244 () (tptp.aElementOf0 tptp.slcrc0 @t203)) % 113.59/113.88 (define @t245 () (not @t244)) % 113.59/113.88 (define @t246 () (tptp.sbrdtbr0 tptp.slcrc0)) % 113.59/113.88 (define @t247 () (= tptp.xK @t246)) % 113.59/113.88 (define @t248 () (not @t247)) % 113.59/113.88 (define @t249 () (tptp.aSubsetOf0 tptp.slcrc0 tptp.xO)) % 113.59/113.88 (define @t250 () (not @t249)) % 113.59/113.88 (define @t251 () (tptp.aElementOf0 @t5 tptp.slcrc0)) % 113.59/113.88 (define @t252 () (not @t251)) % 113.59/113.88 (define @t253 () (or @t252 @t206)) % 113.59/113.88 (define @t254 () (forall @t8 @t253)) % 113.59/113.88 (define @t255 () (not @t254)) % 113.59/113.88 (define @t256 () (tptp.aSet0 tptp.slcrc0)) % 113.59/113.88 (define @t257 () (not @t256)) % 113.59/113.88 (define @t258 () (or @t257 @t255)) % 113.59/113.88 (define @t259 () (and @t258 @t250)) % 113.59/113.88 (define @t260 () (or @t259 @t248)) % 113.59/113.88 (define @t261 () (@var "BOUND_VARIABLE_11430" $$unsorted)) % 113.59/113.88 (define @t262 () (tptp.aElementOf0 @t261 @t203)) % 113.59/113.88 (define @t263 () (not @t262)) % 113.59/113.88 (define @t264 () (tptp.sbrdtbr0 @t261)) % 113.59/113.88 (define @t265 () (= tptp.xK @t264)) % 113.59/113.88 (define @t266 () (not @t265)) % 113.59/113.88 (define @t267 () (tptp.aSubsetOf0 @t261 tptp.xO)) % 113.59/113.88 (define @t268 () (not @t267)) % 113.59/113.88 (define @t269 () (not (tptp.aElementOf0 @t5 @t261))) % 113.59/113.88 (define @t270 () (or @t269 @t206)) % 113.59/113.88 (define @t271 () (forall @t8 @t270)) % 113.59/113.88 (define @t272 () (not @t271)) % 113.59/113.88 (define @t273 () (not (tptp.aSet0 @t261))) % 113.59/113.88 (define @t274 () (or @t273 @t272)) % 113.59/113.88 (define @t275 () (and @t274 @t268)) % 113.59/113.88 (define @t276 () (or @t275 @t266)) % 113.59/113.88 (define @t277 () (and @t276 @t263)) % 113.59/113.88 (define @t278 () (= @t171 (tptp.sdtlpdtrp0 tptp.xc @t261))) % 113.59/113.88 (define @t279 () (or @t278 @t277)) % 113.59/113.88 (define @t280 () (forall (@list @t261) @t279)) % 113.59/113.88 (define @t281 () (@var "BOUND_VARIABLE_11402" $$unsorted)) % 113.59/113.88 (define @t282 () (tptp.aElementOf0 @t281 @t203)) % 113.59/113.88 (define @t283 () (not @t282)) % 113.59/113.88 (define @t284 () (tptp.sbrdtbr0 @t281)) % 113.59/113.88 (define @t285 () (= tptp.xK @t284)) % 113.59/113.88 (define @t286 () (not @t285)) % 113.59/113.88 (define @t287 () (tptp.aSubsetOf0 @t281 tptp.xO)) % 113.59/113.88 (define @t288 () (not @t287)) % 113.59/113.88 (define @t289 () (not (tptp.aElementOf0 @t5 @t281))) % 113.59/113.88 (define @t290 () (or @t289 @t206)) % 113.59/113.88 (define @t291 () (forall @t8 @t290)) % 113.59/113.88 (define @t292 () (not @t291)) % 113.59/113.88 (define @t293 () (not (tptp.aSet0 @t281))) % 113.59/113.88 (define @t294 () (or @t293 @t292)) % 113.59/113.88 (define @t295 () (and @t294 @t288)) % 113.59/113.88 (define @t296 () (or @t295 @t286)) % 113.59/113.88 (define @t297 () (and @t296 @t283)) % 113.59/113.88 (define @t298 () (tptp.aElementOf0 @t281 @t89)) % 113.59/113.88 (define @t299 () (or @t298 @t297)) % 113.59/113.88 (define @t300 () (forall (@list @t281) @t299)) % 113.59/113.88 (define @t301 () (@var "BOUND_VARIABLE_11374" $$unsorted)) % 113.59/113.88 (define @t302 () (tptp.aElementOf0 @t301 @t203)) % 113.59/113.88 (define @t303 () (not @t302)) % 113.59/113.88 (define @t304 () (tptp.sbrdtbr0 @t301)) % 113.59/113.88 (define @t305 () (= tptp.xK @t304)) % 113.59/113.88 (define @t306 () (not @t305)) % 113.59/113.88 (define @t307 () (tptp.aSubsetOf0 @t301 tptp.xO)) % 113.59/113.88 (define @t308 () (not @t307)) % 113.59/113.88 (define @t309 () (not (tptp.aElementOf0 @t5 @t301))) % 113.59/113.88 (define @t310 () (or @t309 @t206)) % 113.59/113.88 (define @t311 () (forall @t8 @t310)) % 113.59/113.88 (define @t312 () (not @t311)) % 113.59/113.88 (define @t313 () (not (tptp.aSet0 @t301))) % 113.59/113.88 (define @t314 () (or @t313 @t312)) % 113.59/113.88 (define @t315 () (and @t314 @t308)) % 113.59/113.88 (define @t316 () (or @t315 @t306)) % 113.59/113.88 (define @t317 () (and @t316 @t303)) % 113.59/113.88 (define @t318 () (tptp.aSubsetOf0 @t301 tptp.xS)) % 113.59/113.88 (define @t319 () (or @t318 @t317)) % 113.59/113.88 (define @t320 () (forall (@list @t301) @t319)) % 113.59/113.88 (define @t321 () (@var "BOUND_VARIABLE_11348" $$unsorted)) % 113.59/113.88 (define @t322 () (tptp.aElementOf0 @t321 tptp.xS)) % 113.59/113.88 (define @t323 () (@var "BOUND_VARIABLE_11344" $$unsorted)) % 113.59/113.88 (define @t324 () (not (tptp.aElementOf0 @t321 @t323))) % 113.59/113.88 (define @t325 () (tptp.aElementOf0 @t323 @t203)) % 113.59/113.88 (define @t326 () (not @t325)) % 113.59/113.88 (define @t327 () (tptp.sbrdtbr0 @t323)) % 113.59/113.88 (define @t328 () (= tptp.xK @t327)) % 113.59/113.88 (define @t329 () (not @t328)) % 113.59/113.88 (define @t330 () (tptp.aSubsetOf0 @t323 tptp.xO)) % 113.59/113.88 (define @t331 () (not @t330)) % 113.59/113.88 (define @t332 () (not (tptp.aElementOf0 @t5 @t323))) % 113.59/113.88 (define @t333 () (or @t332 @t206)) % 113.59/113.88 (define @t334 () (forall @t8 @t333)) % 113.59/113.88 (define @t335 () (not @t334)) % 113.59/113.88 (define @t336 () (not (tptp.aSet0 @t323))) % 113.59/113.88 (define @t337 () (or @t336 @t335)) % 113.59/113.88 (define @t338 () (and @t337 @t331)) % 113.59/113.88 (define @t339 () (or @t338 @t329)) % 113.59/113.88 (define @t340 () (and @t339 @t326)) % 113.59/113.88 (define @t341 () (or @t340 @t324 @t322)) % 113.59/113.88 (define @t342 () (forall (@list @t323 @t321) @t341)) % 113.59/113.88 (define @t343 () (@var "BOUND_VARIABLE_11316" $$unsorted)) % 113.59/113.88 (define @t344 () (tptp.aElementOf0 @t343 @t203)) % 113.59/113.88 (define @t345 () (not @t344)) % 113.59/113.88 (define @t346 () (tptp.sbrdtbr0 @t343)) % 113.59/113.88 (define @t347 () (= tptp.xK @t346)) % 113.59/113.88 (define @t348 () (not @t347)) % 113.59/113.88 (define @t349 () (tptp.aSubsetOf0 @t343 tptp.xO)) % 113.59/113.88 (define @t350 () (not @t349)) % 113.59/113.88 (define @t351 () (not (tptp.aElementOf0 @t5 @t343))) % 113.59/113.88 (define @t352 () (or @t351 @t206)) % 113.59/113.88 (define @t353 () (forall @t8 @t352)) % 113.59/113.88 (define @t354 () (not @t353)) % 113.59/113.88 (define @t355 () (not (tptp.aSet0 @t343))) % 113.59/113.88 (define @t356 () (or @t355 @t354)) % 113.59/113.88 (define @t357 () (and @t356 @t350)) % 113.59/113.88 (define @t358 () (or @t357 @t348)) % 113.59/113.88 (define @t359 () (and @t358 @t345)) % 113.59/113.88 (define @t360 () (tptp.aSubsetOf0 @t343 tptp.szNzAzT0)) % 113.59/113.88 (define @t361 () (or @t360 @t359)) % 113.59/113.88 (define @t362 () (forall (@list @t343) @t361)) % 113.59/113.88 (define @t363 () (@var "BOUND_VARIABLE_11288" $$unsorted)) % 113.59/113.88 (define @t364 () (tptp.aElementOf0 @t363 tptp.szNzAzT0)) % 113.59/113.88 (define @t365 () (@var "BOUND_VARIABLE_11286" $$unsorted)) % 113.59/113.88 (define @t366 () (not (tptp.aElementOf0 @t363 @t365))) % 113.59/113.88 (define @t367 () (tptp.aElementOf0 @t365 @t203)) % 113.59/113.88 (define @t368 () (not @t367)) % 113.59/113.88 (define @t369 () (tptp.sbrdtbr0 @t365)) % 113.59/113.88 (define @t370 () (= tptp.xK @t369)) % 113.59/113.88 (define @t371 () (not @t370)) % 113.59/113.88 (define @t372 () (tptp.aSubsetOf0 @t365 tptp.xO)) % 113.59/113.88 (define @t373 () (not @t372)) % 113.59/113.88 (define @t374 () (not (tptp.aElementOf0 @t5 @t365))) % 113.59/113.88 (define @t375 () (or @t374 @t206)) % 113.59/113.88 (define @t376 () (forall @t8 @t375)) % 113.59/113.88 (define @t377 () (not @t376)) % 113.59/113.88 (define @t378 () (not (tptp.aSet0 @t365))) % 113.59/113.88 (define @t379 () (or @t378 @t377)) % 113.59/113.88 (define @t380 () (and @t379 @t373)) % 113.59/113.88 (define @t381 () (or @t380 @t371)) % 113.59/113.88 (define @t382 () (and @t381 @t368)) % 113.59/113.88 (define @t383 () (or @t382 @t366 @t364)) % 113.59/113.88 (define @t384 () (forall (@list @t365 @t363) @t383)) % 113.59/113.88 (define @t385 () (@var "BOUND_VARIABLE_11228" $$unsorted)) % 113.59/113.88 (define @t386 () (tptp.aElementOf0 @t385 @t203)) % 113.59/113.88 (define @t387 () (not @t386)) % 113.59/113.88 (define @t388 () (tptp.sbrdtbr0 @t385)) % 113.59/113.88 (define @t389 () (= tptp.xK @t388)) % 113.59/113.88 (define @t390 () (not @t389)) % 113.59/113.88 (define @t391 () (tptp.aSubsetOf0 @t385 tptp.xO)) % 113.59/113.88 (define @t392 () (not @t391)) % 113.59/113.88 (define @t393 () (not (tptp.aElementOf0 @t5 @t385))) % 113.59/113.88 (define @t394 () (or @t393 @t206)) % 113.59/113.88 (define @t395 () (forall @t8 @t394)) % 113.59/113.88 (define @t396 () (not @t395)) % 113.59/113.88 (define @t397 () (not (tptp.aSet0 @t385))) % 113.59/113.88 (define @t398 () (or @t397 @t396)) % 113.59/113.88 (define @t399 () (and @t398 @t392)) % 113.59/113.88 (define @t400 () (or @t399 @t390)) % 113.59/113.88 (define @t401 () (and @t400 @t387)) % 113.59/113.88 (define @t402 () (not (forall @t8 @t393))) % 113.59/113.88 (define @t403 () (or @t402 @t401)) % 113.59/113.88 (define @t404 () (forall (@list @t385) @t403)) % 113.59/113.88 (define @t405 () (and @t404 @t384 @t362 @t342 @t320 @t300 @t280 @t260 @t245)) % 113.59/113.88 (define @t406 () (=> @t405 @t243)) % 113.59/113.88 (define @t407 () (or @t238 @t229 @t228)) % 113.59/113.88 (define @t408 () (or @t239 @t407)) % 113.59/113.88 (define @t409 () (forall @t241 @t408)) % 113.59/113.88 (define @t410 () (@list @t217)) % 113.59/113.88 (define @t411 () (forall @t410 @t408)) % 113.59/113.88 (define @t412 () (forall @t410 @t407)) % 113.59/113.88 (define @t413 () (@list @t5)) % 113.59/113.88 (define @t414 () (or @t239 @t412)) % 113.59/113.88 (define @t415 () (not @t185)) % 113.59/113.88 (define @t416 () (not @t162)) % 113.59/113.88 (define @t417 () (forall @t36 (or @t223 @t84))) % 113.59/113.88 (define @t418 () (not @t417)) % 113.59/113.88 (define @t419 () (or @t225 @t418 @t416 @t221 @t415 @t216)) % 113.59/113.88 (define @t420 () (forall @t20 @t419)) % 113.59/113.88 (define @t421 () (not @t420)) % 113.59/113.88 (define @t422 () (not @t41)) % 113.59/113.88 (define @t423 () (not @t190)) % 113.59/113.88 (define @t424 () (forall @t20 (or (not @t19) @t134))) % 113.59/113.88 (define @t425 () (forall @t8 (or (and (or (not @t21) (not @t424)) @t423) @t422 @t421))) % 113.59/113.88 (define @t426 () (not @t425)) % 113.59/113.88 (define @t427 () (and @t91 @t426)) % 113.59/113.88 (define @t428 () (forall @t3 (not @t427))) % 113.59/113.88 (define @t429 () (not @t428)) % 113.59/113.88 (define @t430 () (and @t21 @t424)) % 113.59/113.88 (define @t431 () (or @t430 @t190)) % 113.59/113.88 (define @t432 () (not @t431)) % 113.59/113.88 (define @t433 () (or @t432 @t422 @t421)) % 113.59/113.88 (define @t434 () (and @t431 @t41 @t420)) % 113.59/113.88 (define @t435 () (forall @t8 (not @t434))) % 113.59/113.88 (define @t436 () (not @t435)) % 113.59/113.88 (define @t437 () (or @t225 @t418 @t416 @t221 @t415)) % 113.59/113.88 (define @t438 () (and @t29 @t417 @t162 @t186 @t185)) % 113.59/113.88 (define @t439 () (and @t260 @t245)) % 113.59/113.88 (define @t440 () (@var "BOUND_VARIABLE_11434" $$unsorted)) % 113.59/113.88 (define @t441 () (@var "BOUND_VARIABLE_11432" $$unsorted)) % 113.59/113.88 (define @t442 () (@list @t261 @t441 @t440)) % 113.59/113.88 (define @t443 () (not (= @t264 tptp.xK))) % 113.59/113.88 (define @t444 () (or @t275 @t443)) % 113.59/113.88 (define @t445 () (and @t444 @t263)) % 113.59/113.88 (define @t446 () (or @t278 @t445)) % 113.59/113.88 (define @t447 () (forall @t442 @t446)) % 113.59/113.88 (define @t448 () (@var "BOUND_VARIABLE_11406" $$unsorted)) % 113.59/113.88 (define @t449 () (@var "BOUND_VARIABLE_11404" $$unsorted)) % 113.59/113.88 (define @t450 () (@list @t281 @t449 @t448)) % 113.59/113.88 (define @t451 () (not (= @t284 tptp.xK))) % 113.59/113.88 (define @t452 () (or @t295 @t451)) % 113.59/113.88 (define @t453 () (and @t452 @t283)) % 113.59/113.88 (define @t454 () (or @t298 @t453)) % 113.59/113.88 (define @t455 () (forall @t450 @t454)) % 113.59/113.88 (define @t456 () (@var "BOUND_VARIABLE_11378" $$unsorted)) % 113.59/113.88 (define @t457 () (@var "BOUND_VARIABLE_11376" $$unsorted)) % 113.59/113.88 (define @t458 () (@list @t301 @t457 @t456)) % 113.59/113.88 (define @t459 () (not (= @t304 tptp.xK))) % 113.59/113.88 (define @t460 () (or @t315 @t459)) % 113.59/113.88 (define @t461 () (and @t460 @t303)) % 113.59/113.88 (define @t462 () (or @t318 @t461)) % 113.59/113.88 (define @t463 () (forall @t458 @t462)) % 113.59/113.88 (define @t464 () (@var "BOUND_VARIABLE_11346" $$unsorted)) % 113.59/113.88 (define @t465 () (@list @t323 @t464 @t321)) % 113.59/113.88 (define @t466 () (not (= @t327 tptp.xK))) % 113.59/113.88 (define @t467 () (or @t338 @t466)) % 113.59/113.88 (define @t468 () (and @t467 @t326)) % 113.59/113.88 (define @t469 () (or @t468 @t324 @t322)) % 113.59/113.88 (define @t470 () (forall @t465 @t469)) % 113.59/113.88 (define @t471 () (@var "BOUND_VARIABLE_11320" $$unsorted)) % 113.59/113.88 (define @t472 () (@var "BOUND_VARIABLE_11318" $$unsorted)) % 113.59/113.88 (define @t473 () (@list @t343 @t472 @t471)) % 113.59/113.88 (define @t474 () (not (= @t346 tptp.xK))) % 113.59/113.88 (define @t475 () (or @t357 @t474)) % 113.59/113.88 (define @t476 () (and @t475 @t345)) % 113.59/113.88 (define @t477 () (or @t360 @t476)) % 113.59/113.88 (define @t478 () (forall @t473 @t477)) % 113.59/113.88 (define @t479 () (@var "BOUND_VARIABLE_11290" $$unsorted)) % 113.59/113.88 (define @t480 () (@list @t365 @t363 @t479)) % 113.59/113.88 (define @t481 () (not (= @t369 tptp.xK))) % 113.59/113.88 (define @t482 () (or @t380 @t481)) % 113.59/113.88 (define @t483 () (and @t482 @t368)) % 113.59/113.88 (define @t484 () (or @t483 @t366 @t364)) % 113.59/113.88 (define @t485 () (forall @t480 @t484)) % 113.59/113.88 (define @t486 () (not (= tptp.slcrc0 tptp.slcrc0))) % 113.59/113.88 (define @t487 () (or @t486 @t439)) % 113.59/113.88 (define @t488 () (@var "BOUND_VARIABLE_11257" $$unsorted)) % 113.59/113.88 (define @t489 () (not (tptp.aElementOf0 @t488 @t203))) % 113.59/113.88 (define @t490 () (tptp.sbrdtbr0 @t488)) % 113.59/113.88 (define @t491 () (and (or (not (tptp.aSet0 @t488)) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t488)) @t206)))) (not (tptp.aSubsetOf0 @t488 tptp.xO)))) % 113.59/113.88 (define @t492 () (and (or @t491 (not (= tptp.xK @t490))) @t489)) % 113.59/113.88 (define @t493 () (not (= tptp.slcrc0 @t488))) % 113.59/113.88 (define @t494 () (not (= @t488 tptp.slcrc0))) % 113.59/113.88 (define @t495 () (@list @t488)) % 113.59/113.88 (define @t496 () (or @t493 @t493 @t492)) % 113.59/113.88 (define @t497 () (or @t493 @t492)) % 113.59/113.88 (define @t498 () (forall @t495 @t497)) % 113.59/113.88 (define @t499 () (@var "BOUND_VARIABLE_11261" $$unsorted)) % 113.59/113.88 (define @t500 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 113.59/113.88 (define @t501 () (@list @t488 @t500 @t499)) % 113.59/113.88 (define @t502 () (not (= @t490 tptp.xK))) % 113.59/113.88 (define @t503 () (or @t491 @t502)) % 113.59/113.88 (define @t504 () (and @t503 @t489)) % 113.59/113.88 (define @t505 () (or @t494 @t504)) % 113.59/113.88 (define @t506 () (forall @t501 @t505)) % 113.59/113.88 (define @t507 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 113.59/113.88 (define @t508 () (@var "BOUND_VARIABLE_11230" $$unsorted)) % 113.59/113.88 (define @t509 () (@list @t385 @t508 @t507)) % 113.59/113.88 (define @t510 () (not (= @t388 tptp.xK))) % 113.59/113.88 (define @t511 () (or @t399 @t510)) % 113.59/113.88 (define @t512 () (and @t511 @t387)) % 113.59/113.88 (define @t513 () (or @t402 @t512)) % 113.59/113.88 (define @t514 () (forall @t509 @t513)) % 113.59/113.88 (define @t515 () (not @t204)) % 113.59/113.88 (define @t516 () (not @t95)) % 113.59/113.88 (define @t517 () (not @t205)) % 113.59/113.88 (define @t518 () (forall @t8 (or @t56 @t206))) % 113.59/113.88 (define @t519 () (and (or (and (or (not @t2) (not @t518)) @t517) @t516) @t515)) % 113.59/113.88 (define @t520 () (= @t171 @t198)) % 113.59/113.88 (define @t521 () (or @t520 @t519)) % 113.59/113.88 (define @t522 () (@var "BOUND_VARIABLE_11202" $$unsorted)) % 113.59/113.88 (define @t523 () (@var "BOUND_VARIABLE_11196" $$unsorted)) % 113.59/113.88 (define @t524 () (@list @t1 @t523 @t522)) % 113.59/113.88 (define @t525 () (forall @t524 @t521)) % 113.59/113.88 (define @t526 () (@list @t1 @t523 @t522)) % 113.59/113.88 (define @t527 () (or @t94 @t519)) % 113.59/113.88 (define @t528 () (forall @t524 @t527)) % 113.59/113.88 (define @t529 () (or @t96 @t519)) % 113.59/113.88 (define @t530 () (forall @t524 @t529)) % 113.59/113.88 (define @t531 () (tptp.aElementOf0 @t522 tptp.xS)) % 113.59/113.88 (define @t532 () (not (tptp.aElementOf0 @t522 @t1))) % 113.59/113.88 (define @t533 () (or @t519 @t532 @t531)) % 113.59/113.88 (define @t534 () (forall @t524 @t533)) % 113.59/113.88 (define @t535 () (or @t61 @t519)) % 113.59/113.88 (define @t536 () (forall @t524 @t535)) % 113.59/113.88 (define @t537 () (tptp.aElementOf0 @t523 tptp.szNzAzT0)) % 113.59/113.88 (define @t538 () (not (tptp.aElementOf0 @t523 @t1))) % 113.59/113.88 (define @t539 () (or @t519 @t538 @t537)) % 113.59/113.88 (define @t540 () (forall @t524 @t539)) % 113.59/113.88 (define @t541 () (or @t16 @t519)) % 113.59/113.88 (define @t542 () (forall @t524 @t541)) % 113.59/113.88 (define @t543 () (forall @t8 @t56)) % 113.59/113.88 (define @t544 () (not @t543)) % 113.59/113.88 (define @t545 () (or @t544 @t519)) % 113.59/113.88 (define @t546 () (forall @t524 @t545)) % 113.59/113.88 (define @t547 () (and @t546 @t542 @t540 @t536 @t534 @t530 @t528 @t525)) % 113.59/113.88 (define @t548 () (or @t532 @t531)) % 113.59/113.88 (define @t549 () (or @t548 @t519)) % 113.59/113.88 (define @t550 () (or @t538 @t537)) % 113.59/113.88 (define @t551 () (or @t550 @t519)) % 113.59/113.88 (define @t552 () (and @t545 @t541 @t551 @t535 @t549 @t529 @t527 @t521)) % 113.59/113.88 (define @t553 () (and @t544 @t16 @t550 @t61 @t548 @t96 @t94 @t520)) % 113.59/113.88 (define @t554 () (or @t553 @t519)) % 113.59/113.88 (define @t555 () (or @t519 @t553)) % 113.59/113.88 (define @t556 () (forall @t524 @t555)) % 113.59/113.88 (define @t557 () (@list @t523 @t522)) % 113.59/113.88 (define @t558 () (forall @t557 @t555)) % 113.59/113.88 (define @t559 () (forall @t557 @t520)) % 113.59/113.88 (define @t560 () (forall @t557 @t94)) % 113.59/113.88 (define @t561 () (forall @t557 @t96)) % 113.59/113.88 (define @t562 () (forall (@list @t522) @t548)) % 113.59/113.88 (define @t563 () (forall @t557 @t548)) % 113.59/113.88 (define @t564 () (forall @t557 @t61)) % 113.59/113.88 (define @t565 () (forall (@list @t523) @t550)) % 113.59/113.88 (define @t566 () (forall @t557 @t550)) % 113.59/113.88 (define @t567 () (forall @t557 @t16)) % 113.59/113.88 (define @t568 () (forall @t557 @t544)) % 113.59/113.88 (define @t569 () (and @t568 @t567 @t566 @t564 @t563 @t561 @t560 @t559)) % 113.59/113.88 (define @t570 () (forall @t557 @t553)) % 113.59/113.88 (define @t571 () (or @t519 @t570)) % 113.59/113.88 (define @t572 () (forall @t8 (or @t56 @t97))) % 113.59/113.88 (define @t573 () (forall @t8 (or @t56 @t48))) % 113.59/113.88 (define @t574 () (and @t544 @t16 @t573 @t61 @t572 @t96 @t94 @t520)) % 113.59/113.88 (define @t575 () (and (not (or @t543 @t12)) @t573 @t61 @t572 @t96 @t572 @t96 @t94 @t520)) % 113.59/113.88 (define @t576 () (and @t2 @t518)) % 113.59/113.88 (define @t577 () (or @t576 @t205)) % 113.59/113.88 (define @t578 () (and @t577 @t95)) % 113.59/113.88 (define @t579 () (or @t578 @t204)) % 113.59/113.88 (define @t580 () (tptp.aSubsetOf0 @t176 @t126)) % 113.59/113.88 (define @t581 () (not @t580)) % 113.59/113.88 (define @t582 () (and (or (not (tptp.aSet0 @t176)) (not (forall @t20 (or (not (tptp.aElementOf0 @t17 @t176)) (tptp.aElementOf0 @t17 @t126))))) @t581)) % 113.59/113.88 (define @t583 () (not @t582)) % 113.59/113.88 (define @t584 () (@list false)) % 113.59/113.88 (define @t585 () (tptp.slbdtsldtrb0 @t176 @t111)) % 113.59/113.88 (define @t586 () (tptp.aElementOf0 @t31 @t176)) % 113.59/113.88 (define @t587 () (forall @t20 (or @t225 (not (forall @t36 (or @t223 @t586))) (not (tptp.aSubsetOf0 @t17 @t176)) (not (= @t58 @t111)) (not (tptp.aElementOf0 @t17 @t585)) (= @t171 @t184)))) % 113.59/113.88 (define @t588 () (not @t587)) % 113.59/113.88 (define @t589 () (tptp.isCountable0 @t176)) % 113.59/113.88 (define @t590 () (not @t589)) % 113.59/113.88 (define @t591 () (not @t175)) % 113.59/113.88 (define @t592 () (or @t591 @t582 @t590 @t588)) % 113.59/113.88 (define @t593 () (@quantifiers_skolemize @t587 0)) % 113.59/113.88 (define @t594 () (= @t171 (tptp.sdtlpdtrp0 tptp.xc @t593))) % 113.59/113.88 (define @t595 () (tptp.aElementOf0 @t593 @t585)) % 113.59/113.88 (define @t596 () (not @t595)) % 113.59/113.88 (define @t597 () (tptp.sbrdtbr0 @t593)) % 113.59/113.88 (define @t598 () (not (= @t111 @t597))) % 113.59/113.88 (define @t599 () (not (tptp.aSubsetOf0 @t593 @t176))) % 113.59/113.88 (define @t600 () (not (forall @t36 (or (not (tptp.aElementOf0 @t31 @t593)) @t586)))) % 113.59/113.88 (define @t601 () (not (tptp.aSet0 @t593))) % 113.59/113.88 (define @t602 () (or @t601 @t600 @t599 @t598 @t596 @t594)) % 113.59/113.88 (define @t603 () (not @t602)) % 113.59/113.88 (define @t604 () (not (= @t597 @t111))) % 113.59/113.88 (define @t605 () (or @t601 @t600 @t599 @t604 @t596 @t594)) % 113.59/113.88 (define @t606 () (not @t605)) % 113.59/113.88 (define @t607 () (@list true)) % 113.59/113.88 (define @t608 () (@list @t602)) % 113.59/113.88 (define @t609 () (and (or (and (or @t601 (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t593)) (tptp.aElementOf0 @t5 @t176))))) @t599) @t598) @t596)) % 113.59/113.88 (define @t610 () (not @t609)) % 113.59/113.88 (define @t611 () (or @t594 @t609)) % 113.59/113.88 (assume @p1 (forall @t3 (=> @t2 true))) % 113.59/113.88 (assume @p2 (forall @t3 (=> @t4 true))) % 113.59/113.88 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 113.59/113.88 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 113.59/113.88 (assume @p5 (forall @t3 (= @t12 (and @t2 @t11)))) % 113.59/113.88 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 113.59/113.88 (assume @p7 (forall @t3 (=> @t2 (=> @t13 true)))) % 113.59/113.88 (assume @p8 (forall @t3 (=> @t15 @t14))) % 113.59/113.88 (assume @p9 (forall @t3 (=> @t15 @t16))) % 113.59/113.88 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t22 (and @t21 (forall @t20 (=> @t19 @t18)))))))) % 113.59/113.88 (assume @p11 (forall @t3 (=> @t24 (forall @t8 (=> @t22 @t23))))) % 113.59/113.88 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 113.59/113.88 (assume @p13 (forall @t27 (=> (and @t2 @t21) (=> (and @t26 @t22) @t25)))) % 113.59/113.88 (assume @p14 (forall @t30 (=> (and @t2 @t21 @t29) (=> (and @t26 @t28) (tptp.aSubsetOf0 @t1 @t17))))) % 113.59/113.88 (assume @p15 (forall @t27 (=> @t38 (forall @t20 (= (= @t17 @t37) (and @t29 (forall @t36 (= @t35 (and @t34 (or @t33 @t32)))))))))) % 113.59/113.88 (assume @p16 (forall @t27 (=> @t38 (forall @t20 (= (= @t17 @t39) (and @t29 (forall @t36 (= @t35 (and @t34 @t33 (not @t32)))))))))) % 113.59/113.88 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t39 @t5) @t1)))))) % 113.59/113.88 (assume @p18 (forall @t27 (=> (and @t4 @t21) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t40 @t1) @t5))))) % 113.59/113.88 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t40)))))) % 113.59/113.88 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t43)))))) % 113.59/113.88 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t40)))))) % 113.59/113.88 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t43)))))) % 113.59/113.88 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 113.59/113.88 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 113.59/113.88 (assume @p25 (forall @t3 (=> @t46 (and (tptp.aElementOf0 @t45 tptp.szNzAzT0) (not (= @t45 tptp.sz00)))))) % 113.59/113.88 (assume @p26 (forall @t27 (=> @t49 (=> (= @t45 @t47) @t25)))) % 113.59/113.88 (assume @p27 (forall @t3 (=> @t46 (or @t50 (exists @t8 (and @t48 (= @t1 @t47))))))) % 113.59/113.88 (assume @p28 (forall @t3 (=> @t46 (not (= @t1 @t45))))) % 113.59/113.88 (assume @p29 (forall @t27 (=> @t49 (=> @t51 true)))) % 113.59/113.88 (assume @p30 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 113.59/113.88 (assume @p31 (forall @t3 (=> @t46 (not (tptp.sdtlseqdt0 @t45 tptp.sz00))))) % 113.59/113.88 (assume @p32 (forall @t27 (=> @t49 (= @t51 (tptp.sdtlseqdt0 @t45 @t47))))) % 113.59/113.88 (assume @p33 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t45)))) % 113.59/113.88 (assume @p34 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t1)))) % 113.59/113.88 (assume @p35 (forall @t27 (=> @t49 (=> (and @t51 @t52) @t25)))) % 113.59/113.88 (assume @p36 (forall @t30 (=> (and @t46 @t48 @t54) (=> (and @t51 @t53) (tptp.sdtlseqdt0 @t1 @t17))))) % 113.59/113.88 (assume @p37 (forall @t27 (=> @t49 (or @t51 (tptp.sdtlseqdt0 @t47 @t1))))) % 113.59/113.88 (assume @p38 (forall @t27 (=> @t49 (=> (tptp.iLess0 @t1 @t5) true)))) % 113.59/113.88 (assume @p39 (forall @t3 (=> @t46 (tptp.iLess0 @t1 @t45)))) % 113.59/113.88 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t55)))) % 113.59/113.88 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t55 tptp.szNzAzT0) @t9)))) % 113.59/113.88 (assume @p42 (forall @t3 (=> @t2 (= (= @t55 tptp.sz00) @t12)))) % 113.59/113.88 (assume @p43 (forall @t3 (=> @t24 (forall @t8 (=> @t6 (=> @t56 (= (tptp.sbrdtbr0 @t37) (tptp.szszuzczcdt0 @t55)))))))) % 113.59/113.88 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t39)) @t55)))))) % 113.59/113.88 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 @t57 @t55)))))) % 113.59/113.88 (assume @p46 (forall @t27 (=> @t59 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t55)) (exists @t20 (and (tptp.aSubsetOf0 @t17 @t1) (= @t58 @t5))))))) % 113.59/113.88 (assume @p47 (forall @t3 (=> (and @t61 @t16) (forall @t8 (= (= @t5 @t60) (and @t7 (forall @t20 (=> @t18 @t53)))))))) % 113.59/113.88 (assume @p48 (forall @t3 (=> (and @t61 @t9 @t16) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t20 (=> @t18 (tptp.sdtlseqdt0 @t17 @t5))))))))) % 113.59/113.88 (assume @p49 (forall @t27 (=> (and @t61 @t63 @t16 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t60 @t5) (tptp.aElementOf0 @t62 @t1)) (= @t60 @t62))))) % 113.59/113.88 (assume @p50 (forall @t3 (=> @t46 (forall @t8 (= (= @t5 @t64) (and @t21 (forall @t20 (= @t19 (and @t54 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t17) @t1)))))))))) % 113.59/113.88 (assume @p51 (forall @t3 (=> @t46 (tptp.isFinite0 @t64)))) % 113.59/113.88 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 113.59/113.88 (assume @p53 (forall @t27 (=> @t49 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t47)) (or (tptp.aElementOf0 @t1 @t65) @t25))))) % 113.59/113.88 (assume @p54 (forall @t27 (=> @t49 (= @t51 (tptp.aSubsetOf0 @t64 @t65))))) % 113.59/113.88 (assume @p55 (forall @t3 (=> (and @t61 @t9) (exists @t8 (and @t48 (tptp.aSubsetOf0 @t1 @t65)))))) % 113.59/113.88 (assume @p56 (forall @t3 (=> @t46 (= (tptp.sbrdtbr0 @t64) @t1)))) % 113.59/113.88 (assume @p57 (forall @t27 (=> @t59 (forall @t20 (= (= @t17 @t68) (and @t29 (forall @t36 (= @t35 (and @t67 (= @t66 @t5)))))))))) % 113.59/113.88 (assume @p58 (forall @t3 (=> @t24 (forall @t8 (=> @t48 (tptp.isFinite0 @t68)))))) % 113.59/113.88 (assume @p59 (forall @t3 (=> (and @t2 @t14) (forall @t8 (=> @t48 (not (= @t68 tptp.slcrc0))))))) % 113.59/113.88 (assume @p60 (forall @t3 (=> @t15 (forall @t8 (=> (and @t48 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t68)))))) % 113.59/113.88 (assume @p61 (forall @t3 (=> @t46 (forall (@list @t5 @t17) (=> (and @t21 @t29 (not @t50)) (=> (and (tptp.aSubsetOf0 @t69 (tptp.slbdtsldtrb0 @t17 @t1)) (not (= @t69 tptp.slcrc0))) @t28)))))) % 113.59/113.88 (assume @p62 (forall @t27 (=> @t59 (forall @t20 (=> (and (tptp.aSubsetOf0 @t17 @t68) (tptp.isFinite0 @t17)) (exists @t36 (and @t67 (tptp.isFinite0 @t31) (tptp.aSubsetOf0 @t17 (tptp.slbdtsldtrb0 @t31 @t5))))))))) % 113.59/113.88 (assume @p63 (forall @t3 (=> @t70 true))) % 113.59/113.88 (assume @p64 (forall @t3 (=> @t70 (tptp.aSet0 @t71)))) % 113.59/113.88 (assume @p65 (forall @t3 (=> @t70 (forall @t8 (=> @t73 (tptp.aElement0 @t72)))))) % 113.59/113.88 (assume @p66 (forall @t27 (=> @t77 (forall @t20 (= (= @t17 @t76) (and @t29 (forall @t36 (= @t35 (and @t75 (= @t74 @t5)))))))))) % 113.59/113.88 (assume @p67 (forall @t27 (=> @t77 (tptp.aSubsetOf0 @t76 @t71)))) % 113.59/113.88 (assume @p68 (forall @t3 (=> @t70 (forall @t8 (=> @t82 (forall @t20 (= (= @t17 @t81) (and @t29 (forall @t36 (= @t35 (exists @t80 (and @t79 (= (tptp.sdtlpdtrp0 @t1 @t78) @t31))))))))))))) % 113.59/113.88 (assume @p69 (forall @t3 (=> @t70 (forall @t8 (=> @t73 (tptp.aElementOf0 @t72 @t83)))))) % 113.59/113.88 (assume @p70 (forall @t3 (=> @t70 (forall @t8 (=> @t82 (forall @t20 (= (= @t17 (tptp.sdtexdt0 @t1 @t5)) (and @t86 (= @t85 @t5) (forall @t36 (=> @t84 (= (tptp.sdtlpdtrp0 @t17 @t31) @t74))))))))))) % 113.59/113.88 (assume @p71 (forall @t3 (=> @t70 (forall @t8 (=> (and @t82 @t41) (=> (forall (@list @t17 @t31) (=> (and (tptp.aElementOf0 @t17 @t71) @t75 (not (= @t17 @t31))) (not (= (tptp.sdtlpdtrp0 @t1 @t17) @t74)))) (tptp.isCountable0 @t81))))))) % 113.59/113.88 (assume @p72 (forall @t3 (=> @t70 (=> (and (tptp.isCountable0 @t71) (tptp.isFinite0 @t83)) (and (tptp.aElement0 @t87) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t87))))))) % 113.59/113.88 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 113.59/113.88 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 113.59/113.88 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t88 @t46)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 113.59/113.88 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t94 (and @t2 @t98 @t96 @t95)) (=> (and (or (and @t2 @t98) @t96) @t95) @t94))) (= @t89 @t93) (tptp.aSet0 @t90) (forall @t3 (= @t92 (exists @t8 (and (tptp.aElementOf0 @t5 @t89) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t92 @t91)) (tptp.aSubsetOf0 @t90 tptp.xT))) % 113.59/113.88 (assume @p77 (forall @t3 (=> @t46 (forall @t8 (=> (and (or (and @t21 (forall @t20 (=> @t19 @t54))) @t63) @t41) (forall @t20 (=> (and @t86 (or (forall @t36 (and (=> @t105 (and (or (and @t110 @t109) @t107) @t106)) (=> (and @t110 @t109 @t107 @t106) @t105))) (= @t85 @t69)) (=> (and (tptp.aSet0 @t103) (forall @t36 (= @t104 (exists @t80 (and (tptp.aElementOf0 @t78 @t85) (= (tptp.sdtlpdtrp0 @t17 @t78) @t31)))))) (or (forall @t36 (=> @t104 @t102)) (tptp.aSubsetOf0 @t103 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t36 (and @t102 (exists @t80 (and (tptp.aSet0 @t78) (forall @t101 (=> (tptp.aElementOf0 @t99 @t78) (tptp.aElementOf0 @t99 @t5))) (tptp.aSubsetOf0 @t78 @t5) (tptp.isCountable0 @t78) (forall @t101 (=> (or (and (or (and (tptp.aSet0 @t99) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 @t99) (tptp.aElementOf0 @t100 @t78)))) (tptp.aSubsetOf0 @t99 @t78)) (= (tptp.sbrdtbr0 @t99) @t1)) (tptp.aElementOf0 @t99 (tptp.slbdtsldtrb0 @t78 @t1))) (= (tptp.sdtlpdtrp0 @t17 @t99) @t31))))))))))))))) % 113.59/113.88 (assume @p78 (not (= tptp.xK tptp.sz00))) % 113.59/113.88 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t111 tptp.xK))) % 113.59/113.88 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t126 tptp.xS) (forall @t3 (=> @t46 (=> (and (or (and @t125 @t124) @t123) @t122) (and @t121 @t120 @t119 @t118 (tptp.aSet0 @t112) (forall @t8 (=> (tptp.aElementOf0 @t5 @t112) @t116)) (tptp.aSubsetOf0 @t112 @t115) (tptp.isCountable0 @t112))))))) % 113.59/113.88 (assume @p81 (forall @t3 (=> @t46 (and @t125 @t124 @t123 @t122)))) % 113.59/113.88 (assume @p82 (forall @t27 (=> @t49 (=> @t52 (and (forall @t20 (=> @t129 @t128)) (tptp.aSubsetOf0 @t113 @t127)))))) % 113.59/113.88 (assume @p83 (forall @t27 (=> (and @t46 @t48 (not @t25)) (not (=> @t132 (or (and (tptp.aElementOf0 @t114 @t127) (forall @t20 (=> @t128 @t130))) (= @t114 (tptp.szmzizndt0 @t127)))))))) % 113.59/113.88 (assume @p84 (forall @t3 (=> @t46 (forall @t8 (=> @t145 (and @t121 @t131 (tptp.aSet0 @t133) @t138 (forall @t20 (=> @t135 @t134)) (tptp.aSubsetOf0 @t133 tptp.xS) (= (tptp.sbrdtbr0 @t133) tptp.xK) (tptp.aElementOf0 @t133 @t93))))))) % 113.59/113.88 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t46 (and (tptp.aFunction0 @t146) @t121 @t120 @t119 @t118 (forall @t8 (and (=> @t149 (and @t21 @t143 @t141 @t140)) (=> (and @t150 @t140) @t149))) (= @t148 @t139) (forall @t8 (=> @t145 (and @t121 @t131 @t138 (= @t147 (tptp.sdtlpdtrp0 tptp.xc @t133)))))))))) % 113.59/113.88 (assume @p86 (forall @t3 (=> @t46 (and (tptp.aSet0 @t151) (forall @t8 (= @t153 (exists @t20 (and (tptp.aElementOf0 @t17 @t148) @t154)))) (forall @t8 (=> @t153 @t152)) (tptp.aSubsetOf0 @t151 tptp.xT))))) % 113.59/113.88 (assume @p87 (forall @t3 (=> @t46 (forall @t8 (=> (and (=> @t132 (=> @t144 @t150)) @t41) (forall @t20 (=> (and @t29 (or (and (or @t163 @t162) @t161) (tptp.aElementOf0 @t17 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t121 @t160 @t119 @t159 @t157 @t155 (tptp.aElementOf0 @t17 @t139))))))))) % 113.59/113.88 (assume @p88 (forall @t3 (=> @t46 (exists @t8 (and @t152 (exists @t20 (and @t121 @t160 @t119 @t159 @t29 @t157 @t155 (tptp.isCountable0 @t17) (forall @t36 (=> (and @t110 (or (and (or (forall @t80 (=> @t108 (tptp.aElementOf0 @t78 @t17))) (tptp.aSubsetOf0 @t31 @t17)) (= @t66 tptp.xk)) (tptp.aElementOf0 @t31 (tptp.slbdtsldtrb0 @t17 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t146 @t31) @t5)))))))))) % 113.59/113.88 (assume @p89 (forall @t3 (=> @t46 (exists @t8 (and @t152 (forall @t20 (=> (and @t29 (or (and (or (forall @t36 (=> @t35 (tptp.aElementOf0 @t31 @t112))) (tptp.aSubsetOf0 @t17 @t112)) @t161) (tptp.aElementOf0 @t17 @t164))) @t154))))))) % 113.59/113.88 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t46 (and (tptp.aElementOf0 @t165 @t113) (forall @t8 (=> @t117 (tptp.sdtlseqdt0 @t165 @t5))) (= @t165 @t114)))))) % 113.59/113.88 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t167 tptp.szNzAzT0) (forall @t3 (=> @t46 (forall @t8 (=> (and @t21 (or (and (or (forall @t20 (=> @t19 (tptp.aElementOf0 @t17 @t112))) (tptp.aSubsetOf0 @t5 @t112)) @t140) (tptp.aElementOf0 @t5 @t164))) (= @t166 @t147))))))) % 113.59/113.88 (assume @p92 (and (tptp.aSet0 @t168) (forall @t3 (= @t169 (exists @t8 (and (tptp.aElementOf0 @t5 @t167) (= @t170 @t1))))) (forall @t3 (=> @t169 @t91)) (tptp.aSubsetOf0 @t168 tptp.xT))) % 113.59/113.88 (assume @p93 (and @t175 @t174 @t173)) % 113.59/113.88 (assume @p94 (and @t181 @t174 @t173 (forall @t3 (= @t180 @t179)) (= tptp.xO @t176))) % 113.59/113.88 (assume @p95 (and @t181 @t182)) % 113.59/113.88 (assume @p96 (forall @t3 (=> (or @t179 @t180) (exists @t8 (and @t48 (= @t170 @t171) @t178 @t177))))) % 113.59/113.88 (assume @p97 (and (forall @t3 (=> @t180 @t88)) @t183)) % 113.59/113.88 (assume @p98 @t215) % 113.59/113.88 (assume @p99 true) % 113.59/113.88 (step @p100 :rule refl :args (@t216)) % 113.59/113.88 (step @p101 :rule and_elim :premises (@p79) :args (1)) % 113.59/113.88 (step @p102 :rule symm :premises (@p101)) % 113.59/113.88 (step @p103 :rule refl :args (@t217)) % 113.59/113.88 (step @p104 :rule cong :premises (@p103 @p102) :args (@t218)) % 113.59/113.88 (step @p105 :rule refl :args (@t17)) % 113.59/113.88 (step @p106 :rule cong :premises (@p105 @p104) :args (@t219)) % 113.59/113.88 (step @p107 :rule cong :premises (@p106) :args (@t220)) % 113.59/113.88 (step @p108 :rule refl :args (@t58)) % 113.59/113.88 (step @p109 :rule cong :premises (@p108 @p102) :args (@t186)) % 113.59/113.88 (step @p110 :rule cong :premises (@p109) :args (@t221)) % 113.59/113.88 (step @p111 :rule refl :args (@t222)) % 113.59/113.88 (step @p112 :rule refl :args (@t224)) % 113.59/113.88 (step @p113 :rule refl :args (@t225)) % 113.59/113.88 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p107 @p100) :args (@t226)) % 113.59/113.88 (step @p115 :rule cong :premises (@p114) :args (@t227)) % 113.59/113.88 (step @p116 :rule cong :premises (@p115) :args (@t228)) % 113.59/113.88 (step @p117 :rule refl :args (@t229)) % 113.59/113.88 (step @p118 :rule and_elim :premises (@p80) :args (2)) % 113.59/113.88 (step @p119 :rule symm :premises (@p118)) % 113.59/113.88 (step @p120 :rule cong :premises (@p103 @p119) :args (@t230)) % 113.59/113.88 (step @p121 :rule cong :premises (@p120) :args (@t231)) % 113.59/113.88 (step @p122 :rule cong :premises (@p105 @p119) :args (@t134)) % 113.59/113.88 (step @p123 :rule refl :args (@t232)) % 113.59/113.88 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t233)) % 113.59/113.88 (step @p125 :rule cong :premises (@p124) :args (@t234)) % 113.59/113.88 (step @p126 :rule cong :premises (@p125) :args (@t235)) % 113.59/113.88 (step @p127 :rule refl :args (@t236)) % 113.59/113.88 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t237)) % 113.59/113.88 (step @p129 :rule nary_cong :premises (@p128 @p121) :args (@t238)) % 113.59/113.88 (step @p130 :rule refl :args (@t239)) % 113.59/113.88 (step @p131 :rule nary_cong :premises (@p130 @p129 @p117 @p116) :args (@t240)) % 113.59/113.88 (step @p132 :rule cong :premises (@p131) :args (@t242)) % 113.59/113.88 (step @p133 :rule cong :premises (@p132) :args (@t243)) % 113.59/113.88 (step @p134 :rule and_elim :premises (@p94) :args (4)) % 113.59/113.88 (step @p135 :rule cong :premises (@p134 @p102) :args (@t203)) % 113.59/113.88 (step @p136 :rule symm :premises (@p52)) % 113.59/113.88 (step @p137 :rule cong :premises (@p136 @p135) :args (@t244)) % 113.59/113.88 (step @p138 :rule cong :premises (@p137) :args (@t245)) % 113.59/113.88 (step @p139 :rule cong :premises (@p136) :args (@t246)) % 113.59/113.88 (step @p140 :rule cong :premises (@p102 @p139) :args (@t247)) % 113.59/113.88 (step @p141 :rule cong :premises (@p140) :args (@t248)) % 113.59/113.88 (step @p142 :rule cong :premises (@p136 @p134) :args (@t249)) % 113.59/113.88 (step @p143 :rule cong :premises (@p142) :args (@t250)) % 113.59/113.88 (step @p144 :rule refl :args (@t5)) % 113.59/113.88 (step @p145 :rule cong :premises (@p144 @p134) :args (@t206)) % 113.59/113.88 (step @p146 :rule cong :premises (@p144 @p136) :args (@t251)) % 113.59/113.88 (step @p147 :rule cong :premises (@p146) :args (@t252)) % 113.59/113.88 (step @p148 :rule nary_cong :premises (@p147 @p145) :args (@t253)) % 113.59/113.88 (step @p149 :rule cong :premises (@p148) :args (@t254)) % 113.59/113.88 (step @p150 :rule cong :premises (@p149) :args (@t255)) % 113.59/113.88 (step @p151 :rule cong :premises (@p136) :args (@t256)) % 113.59/113.88 (step @p152 :rule cong :premises (@p151) :args (@t257)) % 113.59/113.88 (step @p153 :rule nary_cong :premises (@p152 @p150) :args (@t258)) % 113.59/113.88 (step @p154 :rule nary_cong :premises (@p153 @p143) :args (@t259)) % 113.59/113.88 (step @p155 :rule nary_cong :premises (@p154 @p141) :args (@t260)) % 113.59/113.88 (step @p156 :rule refl :args (@t261)) % 113.59/113.88 (step @p157 :rule cong :premises (@p156 @p135) :args (@t262)) % 113.59/113.88 (step @p158 :rule cong :premises (@p157) :args (@t263)) % 113.59/113.88 (step @p159 :rule refl :args (@t264)) % 113.59/113.88 (step @p160 :rule cong :premises (@p102 @p159) :args (@t265)) % 113.59/113.88 (step @p161 :rule cong :premises (@p160) :args (@t266)) % 113.59/113.88 (step @p162 :rule cong :premises (@p156 @p134) :args (@t267)) % 113.59/113.88 (step @p163 :rule cong :premises (@p162) :args (@t268)) % 113.59/113.88 (step @p164 :rule refl :args (@t269)) % 113.59/113.88 (step @p165 :rule nary_cong :premises (@p164 @p145) :args (@t270)) % 113.59/113.88 (step @p166 :rule cong :premises (@p165) :args (@t271)) % 113.59/113.88 (step @p167 :rule cong :premises (@p166) :args (@t272)) % 113.59/113.88 (step @p168 :rule refl :args (@t273)) % 113.59/113.88 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t274)) % 113.59/113.88 (step @p170 :rule nary_cong :premises (@p169 @p163) :args (@t275)) % 113.59/113.88 (step @p171 :rule nary_cong :premises (@p170 @p161) :args (@t276)) % 113.59/113.88 (step @p172 :rule nary_cong :premises (@p171 @p158) :args (@t277)) % 113.59/113.88 (step @p173 :rule refl :args (@t278)) % 113.59/113.88 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t279)) % 113.59/113.88 (step @p175 :rule cong :premises (@p174) :args (@t280)) % 113.59/113.88 (step @p176 :rule refl :args (@t281)) % 113.59/113.88 (step @p177 :rule cong :premises (@p176 @p135) :args (@t282)) % 113.59/113.88 (step @p178 :rule cong :premises (@p177) :args (@t283)) % 113.59/113.88 (step @p179 :rule refl :args (@t284)) % 113.59/113.88 (step @p180 :rule cong :premises (@p102 @p179) :args (@t285)) % 113.59/113.88 (step @p181 :rule cong :premises (@p180) :args (@t286)) % 113.59/113.88 (step @p182 :rule cong :premises (@p176 @p134) :args (@t287)) % 113.59/113.88 (step @p183 :rule cong :premises (@p182) :args (@t288)) % 113.59/113.88 (step @p184 :rule refl :args (@t289)) % 113.59/113.88 (step @p185 :rule nary_cong :premises (@p184 @p145) :args (@t290)) % 113.59/113.88 (step @p186 :rule cong :premises (@p185) :args (@t291)) % 113.59/113.88 (step @p187 :rule cong :premises (@p186) :args (@t292)) % 113.59/113.88 (step @p188 :rule refl :args (@t293)) % 113.59/113.88 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t294)) % 113.59/113.88 (step @p190 :rule nary_cong :premises (@p189 @p183) :args (@t295)) % 113.59/113.88 (step @p191 :rule nary_cong :premises (@p190 @p181) :args (@t296)) % 113.59/113.88 (step @p192 :rule nary_cong :premises (@p191 @p178) :args (@t297)) % 113.59/113.88 (step @p193 :rule refl :args (@t298)) % 113.59/113.88 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t299)) % 113.59/113.88 (step @p195 :rule cong :premises (@p194) :args (@t300)) % 113.59/113.88 (step @p196 :rule refl :args (@t301)) % 113.59/113.88 (step @p197 :rule cong :premises (@p196 @p135) :args (@t302)) % 113.59/113.88 (step @p198 :rule cong :premises (@p197) :args (@t303)) % 113.59/113.88 (step @p199 :rule refl :args (@t304)) % 113.59/113.88 (step @p200 :rule cong :premises (@p102 @p199) :args (@t305)) % 113.59/113.88 (step @p201 :rule cong :premises (@p200) :args (@t306)) % 113.59/113.88 (step @p202 :rule cong :premises (@p196 @p134) :args (@t307)) % 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113.59/113.88 (step @p407 :rule cong :premises (@p406) :args (@t451)) % 113.59/113.88 (step @p408 :rule refl :args (@t295)) % 113.59/113.88 (step @p409 :rule nary_cong :premises (@p408 @p407) :args (@t452)) % 113.59/113.88 (step @p410 :rule nary_cong :premises (@p409 @p405) :args (@t453)) % 113.59/113.88 (step @p411 :rule nary_cong :premises (@p193 @p410) :args (@t454)) % 113.59/113.88 (step @p412 :rule cong :premises (@p411) :args (@t455)) % 113.59/113.88 (step @p413 :rule trans :premises (@p412 @p404)) % 113.59/113.88 (step @p414 :rule quant-unused-vars :args ((= (forall @t458 @t319) @t320))) % 113.59/113.88 (step @p415 :rule refl :args (@t303)) % 113.59/113.88 (step @p416 :rule eq-symm :args (@t304 tptp.xK)) % 113.59/113.88 (step @p417 :rule cong :premises (@p416) :args (@t459)) % 113.59/113.88 (step @p418 :rule refl :args (@t315)) % 113.59/113.88 (step @p419 :rule nary_cong :premises (@p418 @p417) :args (@t460)) % 113.59/113.88 (step @p420 :rule nary_cong :premises (@p419 @p415) 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113.59/113.88 (step @p617 :rule refl :args (@t12)) % 113.59/113.88 (step @p618 :rule bool-double-not-elim :args (@t543)) % 113.59/113.88 (step @p619 :rule exists-elim :args ((= @t10 @t544))) % 113.59/113.88 (step @p620 :rule cong :premises (@p619) :args (@t11)) % 113.59/113.88 (step @p621 :rule trans :premises (@p620 @p618)) % 113.59/113.88 (step @p622 :rule nary_cong :premises (@p621 @p617) :args (@t200)) % 113.59/113.88 (step @p623 :rule cong :premises (@p622) :args (@t201)) % 113.59/113.88 (step @p624 :rule nary_cong :premises (@p623 @p616 @p614 @p613 @p611 @p613 @p611 @p610 @p609) :args (@t202)) % 113.59/113.88 (step @p625 :rule refl :args (@t204)) % 113.59/113.88 (step @p626 :rule refl :args (@t95)) % 113.59/113.88 (step @p627 :rule refl :args (@t205)) % 113.59/113.88 (step @p628 :rule bool-impl-elim :args (@t7 @t206)) % 113.59/113.88 (step @p629 :rule cong :premises (@p628) :args (@t207)) % 113.59/113.88 (step @p630 :rule refl :args (@t2)) % 113.59/113.88 (step @p631 :rule nary_cong :premises (@p630 @p629) :args (@t208)) % 113.59/113.88 (step @p632 :rule nary_cong :premises (@p631 @p627) :args (@t209)) % 113.59/113.88 (step @p633 :rule nary_cong :premises (@p632 @p626) :args (@t210)) % 113.59/113.88 (step @p634 :rule nary_cong :premises (@p633 @p625) :args (@t211)) % 113.59/113.88 (step @p635 :rule cong :premises (@p634 @p624) :args (@t212)) % 113.59/113.88 (step @p636 :rule cong :premises (@p635) :args (@t213)) % 113.59/113.88 (step @p637 :rule trans :premises (@p636 @p608)) % 113.59/113.88 (step @p638 :rule cong :premises (@p637 @p392) :args (@t214)) % 113.59/113.88 (step @p639 :rule cong :premises (@p638) :args (@t215)) % 113.59/113.88 (step @p640 :rule trans :premises (@p639 @p304)) % 113.59/113.88 (step @p641 :rule eq_resolve :premises (@p98 @p640)) % 113.59/113.88 (step @p642 :rule not_implies_elim2 :premises (@p641)) % 113.59/113.88 (step @p643 :rule not_not_elim :premises (@p642)) % 113.59/113.88 (step @p644 :rule instantiate :premises (@p643) :args ((@list @t171 @t176))) % 113.59/113.88 (step @p645 :rule cong :premises (@p134 @p119) :args (@t183)) % 113.59/113.88 (step @p646 :rule and_elim :premises (@p97) :args (1)) % 113.59/113.88 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 113.59/113.88 (step @p648 :rule cnf_and_pos :args (@t582 1)) % 113.59/113.88 (step @p649 :rule reordering :premises (@p648) :args ((or @t581 @t583))) % 113.59/113.88 (step @p650 :rule chain_m_resolution :premises (@p649 @p647) :args (@t583 @t584 (@list @t580))) % 113.59/113.88 (step @p651 :rule cong :premises (@p134) :args (@t182)) % 113.59/113.88 (step @p652 :rule and_elim :premises (@p95) :args (1)) % 113.59/113.88 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 113.59/113.88 (step @p654 :rule and_elim :premises (@p93) :args (0)) % 113.59/113.88 (step @p655 :rule cnf_or_pos :args (@t592)) % 113.59/113.88 (step @p656 :rule reordering :premises (@p655) :args ((or @t591 @t590 @t582 @t588 (not @t592)))) % 113.59/113.88 (step @p657 :rule chain_m_resolution :premises (@p656 @p654 @p653 @p650 @p644) :args (@t588 (@list false false true false) (@list @t175 @t589 @t582 @t592))) % 113.59/113.88 (step @p658 :rule refl :args (@t603)) % 113.59/113.88 (step @p659 :rule bool-double-not-elim :args (@t587)) % 113.59/113.88 (step @p660 :rule nary_cong :premises (@p659 @p658) :args ((or (not @t588) @t603))) % 113.59/113.88 (step @p661 :rule refl :args (@t594)) % 113.59/113.88 (step @p662 :rule refl :args (@t596)) % 113.59/113.88 (step @p663 :rule eq-symm :args (@t597 @t111)) % 113.59/113.88 (step @p664 :rule cong :premises (@p663) :args (@t604)) % 113.59/113.88 (step @p665 :rule refl :args (@t599)) % 113.59/113.88 (step @p666 :rule refl :args (@t600)) % 113.59/113.88 (step @p667 :rule refl :args (@t601)) % 113.59/113.88 (step @p668 :rule nary_cong :premises (@p667 @p666 @p665 @p664 @p662 @p661) :args (@t605)) % 113.59/113.88 (step @p669 :rule cong :premises (@p668) :args (@t606)) % 113.59/113.88 (step @p670 :rule refl :args (@t588)) % 113.59/113.88 (step @p671 :rule cong :premises (@p670 @p669) :args ((=> @t588 @t606))) % 113.59/113.88 (assume-push @p698 @t588) % 113.59/113.88 (step @p673 :rule skolemize :premises (@p657)) % 113.59/113.88 (step-pop @p699 :rule scope :premises (@p673)) % 113.59/113.88 (step @p674 :rule process_scope :premises (@p699) :args (@t606)) % 113.59/113.88 (step @p676 :rule eq_resolve :premises (@p674 @p671)) % 113.59/113.88 (step @p677 :rule implies_elim :premises (@p676)) % 113.59/113.88 (step @p678 :rule eq_resolve :premises (@p677 @p660)) % 113.59/113.88 (step @p679 :rule chain_m_resolution :premises (@p678 @p657) :args (@t603 @t607 (@list @t587))) % 113.59/113.88 (step @p680 :rule cnf_or_neg :args (@t602 5)) % 113.59/113.88 (step @p681 :rule chain_m_resolution :premises (@p680 @p679) :args ((not @t594) @t607 @t608)) % 113.59/113.88 (step @p682 :rule bool-double-not-elim :args (@t595)) % 113.59/113.88 (step @p683 :rule refl :args (@t602)) % 113.59/113.88 (step @p684 :rule nary_cong :premises (@p683 @p682) :args ((or @t602 (not @t596)))) % 113.59/113.88 (step @p685 :rule cnf_or_neg :args (@t602 4)) % 113.59/113.88 (step @p686 :rule eq_resolve :premises (@p685 @p684)) % 113.59/113.88 (step @p687 :rule reordering :premises (@p686) :args ((or @t595 @t602))) % 113.59/113.88 (step @p688 :rule chain_m_resolution :premises (@p687 @p679) :args (@t595 @t607 @t608)) % 113.59/113.88 (step @p689 :rule cnf_and_pos :args (@t609 1)) % 113.59/113.88 (step @p690 :rule reordering :premises (@p689) :args ((or @t596 @t610))) % 113.59/113.88 (step @p691 :rule chain_m_resolution :premises (@p690 @p688) :args (@t610 @t584 (@list @t595))) % 113.59/113.88 (step @p692 :rule not_implies_elim1 :premises (@p641)) % 113.59/113.88 (step @p693 :rule and_elim :premises (@p692) :args (6)) % 113.59/113.88 (step @p694 :rule instantiate :premises (@p693) :args ((@list @t593))) % 113.59/113.88 (step @p695 :rule cnf_or_pos :args (@t611)) % 113.59/113.88 (step @p696 :rule reordering :premises (@p695) :args ((or @t594 @t609 (not @t611)))) % 113.59/113.88 (step @p697 false :rule chain_m_resolution :premises (@p696 @p694 @p691 @p681) :args (false (@list false true true) (@list @t611 @t609 @t594))) % 113.59/113.88 ) % 113.59/113.88 % SZS output end Proof % 113.59/113.88 % cvc5 exiting %------------------------------------------------------------------------------