%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM627+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:04 AM UTC 2026 % Result : Theorem 58.73s 59.01s % Output : Proof 58.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM627+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:38:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.54 %----Proving TF0_NAR, FOF, or CNF % 58.73/59.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 58.73/59.01 --- Run --no-e-matching --full-saturate-quant at 6... % 58.73/59.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 58.73/59.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 58.73/59.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 58.73/59.01 % SZS status Theorem % 58.73/59.01 % SZS output start Proof % 58.73/59.01 ( % 58.73/59.01 (declare-sort $$unsorted 0) % 58.73/59.01 (declare-const tptp.xm $$unsorted) % 58.73/59.01 (declare-const tptp.xx $$unsorted) % 58.73/59.01 (declare-const tptp.xn $$unsorted) % 58.73/59.01 (declare-const tptp.xQ $$unsorted) % 58.73/59.01 (declare-const tptp.xN $$unsorted) % 58.73/59.01 (declare-const tptp.sz00 $$unsorted) % 58.73/59.01 (declare-const tptp.xC $$unsorted) % 58.73/59.01 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.szNzAzT0 $$unsorted) % 58.73/59.01 (declare-const tptp.xk $$unsorted) % 58.73/59.01 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.xd $$unsorted) % 58.73/59.01 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.xP $$unsorted) % 58.73/59.01 (declare-const tptp.xO $$unsorted) % 58.73/59.01 (declare-const tptp.xe $$unsorted) % 58.73/59.01 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 58.73/59.01 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.xK $$unsorted) % 58.73/59.01 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.xp $$unsorted) % 58.73/59.01 (declare-const tptp.xT $$unsorted) % 58.73/59.01 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.xS $$unsorted) % 58.73/59.01 (declare-const tptp.xc $$unsorted) % 58.73/59.01 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.slcrc0 $$unsorted) % 58.73/59.01 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 58.73/59.01 (define @t1 () (@var "W0" $$unsorted)) % 58.73/59.01 (define @t2 () (tptp.aSet0 @t1)) % 58.73/59.01 (define @t3 () (@list @t1)) % 58.73/59.01 (define @t4 () (tptp.aElement0 @t1)) % 58.73/59.01 (define @t5 () (@var "W1" $$unsorted)) % 58.73/59.01 (define @t6 () (tptp.aElement0 @t5)) % 58.73/59.01 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 58.73/59.01 (define @t8 () (@list @t5)) % 58.73/59.01 (define @t9 () (tptp.isFinite0 @t1)) % 58.73/59.01 (define @t10 () (= @t1 tptp.slcrc0)) % 58.73/59.01 (define @t11 () (tptp.isCountable0 @t1)) % 58.73/59.01 (define @t12 () (not @t9)) % 58.73/59.01 (define @t13 () (and @t2 @t11)) % 58.73/59.01 (define @t14 () (not @t10)) % 58.73/59.01 (define @t15 () (@var "W2" $$unsorted)) % 58.73/59.01 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 58.73/59.01 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 58.73/59.01 (define @t18 () (@list @t15)) % 58.73/59.01 (define @t19 () (tptp.aSet0 @t5)) % 58.73/59.01 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 58.73/59.01 (define @t21 () (tptp.isFinite0 @t5)) % 58.73/59.01 (define @t22 () (and @t2 @t9)) % 58.73/59.01 (define @t23 () (= @t1 @t5)) % 58.73/59.01 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 58.73/59.01 (define @t25 () (@list @t1 @t5)) % 58.73/59.01 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 58.73/59.01 (define @t27 () (tptp.aSet0 @t15)) % 58.73/59.01 (define @t28 () (@list @t1 @t5 @t15)) % 58.73/59.01 (define @t29 () (@var "W3" $$unsorted)) % 58.73/59.01 (define @t30 () (= @t29 @t5)) % 58.73/59.01 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 58.73/59.01 (define @t32 () (tptp.aElement0 @t29)) % 58.73/59.01 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 58.73/59.01 (define @t34 () (@list @t29)) % 58.73/59.01 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 58.73/59.01 (define @t36 () (and @t2 @t6)) % 58.73/59.01 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 58.73/59.01 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 58.73/59.01 (define @t39 () (tptp.isCountable0 @t5)) % 58.73/59.01 (define @t40 () (and @t19 @t39)) % 58.73/59.01 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 58.73/59.01 (define @t42 () (and @t19 @t21)) % 58.73/59.01 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 58.73/59.01 (define @t44 () (not (= @t43 tptp.sz00))) % 58.73/59.01 (define @t45 () (tptp.aElementOf0 @t43 tptp.szNzAzT0)) % 58.73/59.01 (define @t46 () (and @t45 @t44)) % 58.73/59.01 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 58.73/59.01 (define @t48 () (=> @t47 @t46)) % 58.73/59.01 (define @t49 () (forall @t3 @t48)) % 58.73/59.01 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 58.73/59.01 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 58.73/59.01 (define @t52 () (and @t47 @t51)) % 58.73/59.01 (define @t53 () (= @t1 tptp.sz00)) % 58.73/59.01 (define @t54 () (tptp.sdtlseqdt0 @t1 @t5)) % 58.73/59.01 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 58.73/59.01 (define @t56 () (tptp.sdtlseqdt0 @t5 @t15)) % 58.73/59.01 (define @t57 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 58.73/59.01 (define @t58 () (tptp.sdtlseqdt0 @t50 @t1)) % 58.73/59.01 (define @t59 () (or @t54 @t58)) % 58.73/59.01 (define @t60 () (forall @t25 (=> @t52 @t59))) % 58.73/59.01 (define @t61 () (tptp.sbrdtbr0 @t1)) % 58.73/59.01 (define @t62 () (tptp.sbrdtbr0 @t5)) % 58.73/59.01 (define @t63 () (tptp.sbrdtbr0 @t15)) % 58.73/59.01 (define @t64 () (and @t2 @t51)) % 58.73/59.01 (define @t65 () (tptp.szmzizndt0 @t1)) % 58.73/59.01 (define @t66 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 58.73/59.01 (define @t67 () (tptp.szmzizndt0 @t5)) % 58.73/59.01 (define @t68 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 58.73/59.01 (define @t69 () (tptp.slbdtrb0 @t1)) % 58.73/59.01 (define @t70 () (tptp.slbdtrb0 @t5)) % 58.73/59.01 (define @t71 () (tptp.sbrdtbr0 @t29)) % 58.73/59.01 (define @t72 () (tptp.aSubsetOf0 @t29 @t1)) % 58.73/59.01 (define @t73 () (tptp.slbdtsldtrb0 @t1 @t5)) % 58.73/59.01 (define @t74 () (tptp.slbdtsldtrb0 @t5 @t1)) % 58.73/59.01 (define @t75 () (tptp.aFunction0 @t1)) % 58.73/59.01 (define @t76 () (tptp.szDzozmdt0 @t1)) % 58.73/59.01 (define @t77 () (tptp.sdtlpdtrp0 @t1 @t5)) % 58.73/59.01 (define @t78 () (tptp.aElementOf0 @t5 @t76)) % 58.73/59.01 (define @t79 () (tptp.sdtlpdtrp0 @t1 @t29)) % 58.73/59.01 (define @t80 () (tptp.aElementOf0 @t29 @t76)) % 58.73/59.01 (define @t81 () (tptp.sdtlbdtrb0 @t1 @t5)) % 58.73/59.01 (define @t82 () (and @t75 @t6)) % 58.73/59.01 (define @t83 () (@var "W4" $$unsorted)) % 58.73/59.01 (define @t84 () (tptp.aElementOf0 @t83 @t5)) % 58.73/59.01 (define @t85 () (@list @t83)) % 58.73/59.01 (define @t86 () (tptp.sdtlcdtrc0 @t1 @t5)) % 58.73/59.01 (define @t87 () (tptp.aSubsetOf0 @t5 @t76)) % 58.73/59.01 (define @t88 () (tptp.sdtlcdtrc0 @t1 @t76)) % 58.73/59.01 (define @t89 () (tptp.aElementOf0 @t29 @t5)) % 58.73/59.01 (define @t90 () (tptp.szDzozmdt0 @t15)) % 58.73/59.01 (define @t91 () (tptp.aFunction0 @t15)) % 58.73/59.01 (define @t92 () (tptp.szDzizrdt0 @t1)) % 58.73/59.01 (define @t93 () (tptp.aElementOf0 @t1 tptp.xS)) % 58.73/59.01 (define @t94 () (tptp.szDzozmdt0 tptp.xc)) % 58.73/59.01 (define @t95 () (tptp.sdtlcdtrc0 tptp.xc @t94)) % 58.73/59.01 (define @t96 () (tptp.aElementOf0 @t1 tptp.xT)) % 58.73/59.01 (define @t97 () (tptp.aElementOf0 @t1 @t95)) % 58.73/59.01 (define @t98 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 58.73/59.01 (define @t99 () (tptp.aElementOf0 @t1 @t94)) % 58.73/59.01 (define @t100 () (= @t61 tptp.xK)) % 58.73/59.01 (define @t101 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 58.73/59.01 (define @t102 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 58.73/59.01 (define @t103 () (@var "W5" $$unsorted)) % 58.73/59.01 (define @t104 () (@var "W6" $$unsorted)) % 58.73/59.01 (define @t105 () (@list @t103)) % 58.73/59.01 (define @t106 () (tptp.aElementOf0 @t29 tptp.xT)) % 58.73/59.01 (define @t107 () (tptp.sdtlcdtrc0 @t15 @t90)) % 58.73/59.01 (define @t108 () (tptp.aElementOf0 @t29 @t107)) % 58.73/59.01 (define @t109 () (tptp.aElementOf0 @t29 @t90)) % 58.73/59.01 (define @t110 () (= @t71 @t1)) % 58.73/59.01 (define @t111 () (tptp.aSubsetOf0 @t29 @t5)) % 58.73/59.01 (define @t112 () (tptp.aElementOf0 @t83 @t29)) % 58.73/59.01 (define @t113 () (forall @t85 (=> @t112 @t84))) % 58.73/59.01 (define @t114 () (tptp.aSet0 @t29)) % 58.73/59.01 (define @t115 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 58.73/59.01 (define @t116 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 58.73/59.01 (define @t117 () (tptp.szmzizndt0 @t116)) % 58.73/59.01 (define @t118 () (tptp.sdtmndt0 @t116 @t117)) % 58.73/59.01 (define @t119 () (tptp.aElementOf0 @t5 @t118)) % 58.73/59.01 (define @t120 () (tptp.aElementOf0 @t5 @t116)) % 58.73/59.01 (define @t121 () (forall @t8 (= @t119 (and @t6 @t120 (not (= @t5 @t117)))))) % 58.73/59.01 (define @t122 () (tptp.aSet0 @t118)) % 58.73/59.01 (define @t123 () (forall @t8 (=> @t120 (tptp.sdtlseqdt0 @t117 @t5)))) % 58.73/59.01 (define @t124 () (tptp.aElementOf0 @t117 @t116)) % 58.73/59.01 (define @t125 () (tptp.isCountable0 @t116)) % 58.73/59.01 (define @t126 () (tptp.aSubsetOf0 @t116 tptp.szNzAzT0)) % 58.73/59.01 (define @t127 () (forall @t8 (=> @t120 @t51))) % 58.73/59.01 (define @t128 () (tptp.aSet0 @t116)) % 58.73/59.01 (define @t129 () (tptp.szDzozmdt0 tptp.xN)) % 58.73/59.01 (define @t130 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 58.73/59.01 (define @t131 () (tptp.aSubsetOf0 @t116 @t130)) % 58.73/59.01 (define @t132 () (tptp.aElementOf0 @t15 @t130)) % 58.73/59.01 (define @t133 () (tptp.aElementOf0 @t15 @t116)) % 58.73/59.01 (define @t134 () (forall @t18 (=> @t133 @t132))) % 58.73/59.01 (define @t135 () (and @t134 @t131)) % 58.73/59.01 (define @t136 () (=> @t55 @t135)) % 58.73/59.01 (define @t137 () (=> @t52 @t136)) % 58.73/59.01 (define @t138 () (forall @t25 @t137)) % 58.73/59.01 (define @t139 () (tptp.sdtlseqdt0 @t117 @t15)) % 58.73/59.01 (define @t140 () (forall @t18 (=> @t133 @t139))) % 58.73/59.01 (define @t141 () (and @t124 @t140)) % 58.73/59.01 (define @t142 () (tptp.sdtpldt0 @t5 @t117)) % 58.73/59.01 (define @t143 () (tptp.aElementOf0 @t15 @t142)) % 58.73/59.01 (define @t144 () (= @t15 @t117)) % 58.73/59.01 (define @t145 () (tptp.aElement0 @t15)) % 58.73/59.01 (define @t146 () (forall @t18 (= @t143 (and @t145 (or @t17 @t144))))) % 58.73/59.01 (define @t147 () (tptp.slbdtsldtrb0 @t118 tptp.xk)) % 58.73/59.01 (define @t148 () (= @t62 tptp.xk)) % 58.73/59.01 (define @t149 () (tptp.aSubsetOf0 @t5 @t118)) % 58.73/59.01 (define @t150 () (tptp.aElementOf0 @t15 @t118)) % 58.73/59.01 (define @t151 () (forall @t18 (=> @t17 @t150))) % 58.73/59.01 (define @t152 () (and @t122 (forall @t18 (= @t150 (and @t145 @t133 (not @t144)))))) % 58.73/59.01 (define @t153 () (and @t19 (=> @t141 (=> @t152 (or (and (or @t151 @t149) @t148) (tptp.aElementOf0 @t5 @t147)))))) % 58.73/59.01 (define @t154 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 58.73/59.01 (define @t155 () (tptp.sdtlpdtrp0 @t154 @t5)) % 58.73/59.01 (define @t156 () (tptp.szDzozmdt0 @t154)) % 58.73/59.01 (define @t157 () (tptp.aElementOf0 @t5 @t156)) % 58.73/59.01 (define @t158 () (or (and @t19 @t151) @t149)) % 58.73/59.01 (define @t159 () (tptp.sdtlcdtrc0 @t154 @t156)) % 58.73/59.01 (define @t160 () (tptp.aElementOf0 @t5 tptp.xT)) % 58.73/59.01 (define @t161 () (tptp.aElementOf0 @t5 @t159)) % 58.73/59.01 (define @t162 () (= (tptp.sdtlpdtrp0 @t154 @t15) @t5)) % 58.73/59.01 (define @t163 () (tptp.aSubsetOf0 @t15 @t118)) % 58.73/59.01 (define @t164 () (tptp.aElementOf0 @t29 @t118)) % 58.73/59.01 (define @t165 () (forall @t34 (=> @t33 @t164))) % 58.73/59.01 (define @t166 () (tptp.aElementOf0 @t29 @t116)) % 58.73/59.01 (define @t167 () (forall @t34 (= @t164 (and @t32 @t166 (not (= @t29 @t117)))))) % 58.73/59.01 (define @t168 () (forall @t34 (=> @t166 (tptp.sdtlseqdt0 @t117 @t29)))) % 58.73/59.01 (define @t169 () (= @t63 tptp.xk)) % 58.73/59.01 (define @t170 () (tptp.slbdtsldtrb0 @t115 tptp.xk)) % 58.73/59.01 (define @t171 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 58.73/59.01 (define @t172 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 58.73/59.01 (define @t173 () (tptp.szDzozmdt0 tptp.xd)) % 58.73/59.01 (define @t174 () (tptp.sdtlcdtrc0 tptp.xd @t173)) % 58.73/59.01 (define @t175 () (tptp.aElementOf0 @t1 @t174)) % 58.73/59.01 (define @t176 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 58.73/59.01 (define @t177 () (tptp.szDzizrdt0 tptp.xd)) % 58.73/59.01 (define @t178 () (tptp.sdtlbdtrb0 tptp.xd @t177)) % 58.73/59.01 (define @t179 () (tptp.aElementOf0 @t1 @t178)) % 58.73/59.01 (define @t180 () (forall @t3 (= @t179 (and (tptp.aElementOf0 @t1 @t173) (= @t172 @t177))))) % 58.73/59.01 (define @t181 () (tptp.aSet0 @t178)) % 58.73/59.01 (define @t182 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 58.73/59.01 (define @t183 () (tptp.aElementOf0 @t5 @t178)) % 58.73/59.01 (define @t184 () (exists @t8 (and @t183 @t182))) % 58.73/59.01 (define @t185 () (tptp.aElementOf0 @t1 tptp.xO)) % 58.73/59.01 (define @t186 () (tptp.aSet0 tptp.xO)) % 58.73/59.01 (define @t187 () (tptp.aElementOf0 @t1 tptp.xQ)) % 58.73/59.01 (define @t188 () (forall @t3 (=> @t187 @t185))) % 58.73/59.01 (define @t189 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 58.73/59.01 (define @t190 () (forall @t3 (=> @t187 @t93))) % 58.73/59.01 (define @t191 () (tptp.szmzizndt0 tptp.xQ)) % 58.73/59.01 (define @t192 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 58.73/59.01 (define @t193 () (tptp.aElementOf0 @t1 tptp.xP)) % 58.73/59.01 (define @t194 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 58.73/59.01 (define @t195 () (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t177)) % 58.73/59.01 (define @t196 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 58.73/59.01 (define @t197 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 58.73/59.01 (define @t198 () (tptp.aElementOf0 @t1 @t197)) % 58.73/59.01 (define @t199 () (tptp.szszuzczcdt0 tptp.xn)) % 58.73/59.01 (define @t200 () (tptp.sdtlpdtrp0 tptp.xN @t199)) % 58.73/59.01 (define @t201 () (tptp.aSubsetOf0 @t197 @t200)) % 58.73/59.01 (define @t202 () (tptp.aElementOf0 @t1 @t200)) % 58.73/59.01 (define @t203 () (forall @t3 (=> @t198 @t202))) % 58.73/59.01 (define @t204 () (or @t203 @t201)) % 58.73/59.01 (define @t205 () (not @t204)) % 58.73/59.01 (define @t206 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 58.73/59.01 (define @t207 () (tptp.aSubsetOf0 @t206 @t197)) % 58.73/59.01 (define @t208 () (tptp.aElementOf0 @t1 @t206)) % 58.73/59.01 (define @t209 () (forall @t3 (=> @t208 @t198))) % 58.73/59.01 (define @t210 () (or @t209 @t207)) % 58.73/59.01 (define @t211 () (not @t210)) % 58.73/59.01 (define @t212 () (not @t51)) % 58.73/59.01 (define @t213 () (not @t47)) % 58.73/59.01 (define @t214 () (or @t213 @t212 @t54 @t58)) % 58.73/59.01 (define @t215 () (or @t213 @t212)) % 58.73/59.01 (define @t216 () (not @t52)) % 58.73/59.01 (define @t217 () (@var "BOUND_VARIABLE_10194" $$unsorted)) % 58.73/59.01 (define @t218 () (or (not (tptp.aElementOf0 @t217 @t116)) (tptp.aElementOf0 @t217 @t130))) % 58.73/59.01 (define @t219 () (and @t218 @t131)) % 58.73/59.01 (define @t220 () (not @t55)) % 58.73/59.01 (define @t221 () (or @t213 @t212 @t220 @t219)) % 58.73/59.01 (define @t222 () (forall (@list @t1 @t5 @t217) @t221)) % 58.73/59.01 (define @t223 () (@list @t217)) % 58.73/59.01 (define @t224 () (forall @t223 @t221)) % 58.73/59.01 (define @t225 () (forall @t223 @t131)) % 58.73/59.01 (define @t226 () (forall @t223 @t218)) % 58.73/59.01 (define @t227 () (and @t226 @t225)) % 58.73/59.01 (define @t228 () (forall @t223 @t219)) % 58.73/59.01 (define @t229 () (or @t213 @t212 @t220 @t228)) % 58.73/59.01 (define @t230 () (and (forall @t18 (or (not @t133) @t132)) @t131)) % 58.73/59.01 (define @t231 () (or @t213 @t212 @t220 @t230)) % 58.73/59.01 (define @t232 () (=> @t55 @t230)) % 58.73/59.01 (define @t233 () (tptp.aElementOf0 tptp.sz00 @t197)) % 58.73/59.01 (define @t234 () (and (or (not (tptp.aElementOf0 tptp.sz00 @t206)) @t233) @t207)) % 58.73/59.01 (define @t235 () (not @t234)) % 58.73/59.01 (define @t236 () (@list true)) % 58.73/59.01 (define @t237 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 58.73/59.01 (define @t238 () (not @t237)) % 58.73/59.01 (define @t239 () (tptp.aElementOf0 tptp.xm @t129)) % 58.73/59.01 (define @t240 () (not @t239)) % 58.73/59.01 (define @t241 () (tptp.aElementOf0 tptp.xn @t129)) % 58.73/59.01 (define @t242 () (not @t241)) % 58.73/59.01 (define @t243 () (or @t242 @t240 @t238 @t234)) % 58.73/59.01 (define @t244 () (@list false false true false)) % 58.73/59.01 (define @t245 () (and (or (not @t233) (tptp.aElementOf0 tptp.sz00 @t200)) @t201)) % 58.73/59.01 (define @t246 () (not @t245)) % 58.73/59.01 (define @t247 () (not (= tptp.sz00 @t43))) % 58.73/59.01 (define @t248 () (and @t45 @t247)) % 58.73/59.01 (define @t249 () (or @t213 @t248)) % 58.73/59.01 (define @t250 () (tptp.aElementOf0 @t199 @t129)) % 58.73/59.01 (define @t251 () (and @t250 (not (= tptp.sz00 @t199)))) % 58.73/59.01 (define @t252 () (or @t242 @t251)) % 58.73/59.01 (define @t253 () (tptp.sdtlseqdt0 @t199 tptp.xm)) % 58.73/59.01 (define @t254 () (not @t253)) % 58.73/59.01 (define @t255 () (not @t250)) % 58.73/59.01 (define @t256 () (or @t240 @t255 @t254 @t245)) % 58.73/59.01 (define @t257 () (or @t240 @t242 @t237 @t253)) % 58.73/59.01 (define @t258 () (not @t257)) % 58.73/59.01 (define @t259 () (forall @t25 (or (not (tptp.aElementOf0 @t1 @t129)) (not (tptp.aElementOf0 @t5 @t129)) @t54 @t58))) % 58.73/59.01 (assume @p1 (forall @t3 (=> @t2 true))) % 58.73/59.01 (assume @p2 (forall @t3 (=> @t4 true))) % 58.73/59.01 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 58.73/59.01 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 58.73/59.01 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 58.73/59.01 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 58.73/59.01 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 58.73/59.01 (assume @p8 (forall @t3 (=> @t13 @t12))) % 58.73/59.01 (assume @p9 (forall @t3 (=> @t13 @t14))) % 58.73/59.01 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 58.73/59.01 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 58.73/59.01 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 58.73/59.01 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 58.73/59.01 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 58.73/59.01 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 58.73/59.01 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 58.73/59.01 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 58.73/59.01 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 58.73/59.01 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 58.73/59.01 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 58.73/59.01 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 58.73/59.01 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 58.73/59.01 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 58.73/59.01 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 58.73/59.01 (assume @p25 @t49) % 58.73/59.01 (assume @p26 (forall @t25 (=> @t52 (=> (= @t43 @t50) @t23)))) % 58.73/59.01 (assume @p27 (forall @t3 (=> @t47 (or @t53 (exists @t8 (and @t51 (= @t1 @t50))))))) % 58.73/59.01 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t43))))) % 58.73/59.01 (assume @p29 (forall @t25 (=> @t52 (=> @t54 true)))) % 58.73/59.01 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 58.73/59.01 (assume @p31 (forall @t3 (=> @t47 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 58.73/59.01 (assume @p32 (forall @t25 (=> @t52 (= @t54 (tptp.sdtlseqdt0 @t43 @t50))))) % 58.73/59.01 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t43)))) % 58.73/59.01 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 58.73/59.01 (assume @p35 (forall @t25 (=> @t52 (=> (and @t54 @t55) @t23)))) % 58.73/59.01 (assume @p36 (forall @t28 (=> (and @t47 @t51 @t57) (=> (and @t54 @t56) (tptp.sdtlseqdt0 @t1 @t15))))) % 58.73/59.01 (assume @p37 @t60) % 58.73/59.01 (assume @p38 (forall @t25 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 58.73/59.01 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t43)))) % 58.73/59.01 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t61)))) % 58.73/59.01 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t61 tptp.szNzAzT0) @t9)))) % 58.73/59.01 (assume @p42 (forall @t3 (=> @t2 (= (= @t61 tptp.sz00) @t10)))) % 58.73/59.01 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t61)))))))) % 58.73/59.01 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t61)))))) % 58.73/59.01 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t62 @t61)))))) % 58.73/59.01 (assume @p46 (forall @t25 (=> @t64 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t61)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t63 @t5))))))) % 58.73/59.01 (assume @p47 (forall @t3 (=> (and @t66 @t14) (forall @t8 (= (= @t5 @t65) (and @t7 (forall @t18 (=> @t16 @t56)))))))) % 58.73/59.01 (assume @p48 (forall @t3 (=> (and @t66 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 58.73/59.01 (assume @p49 (forall @t25 (=> (and @t66 @t68 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t65 @t5) (tptp.aElementOf0 @t67 @t1)) (= @t65 @t67))))) % 58.73/59.01 (assume @p50 (forall @t3 (=> @t47 (forall @t8 (= (= @t5 @t69) (and @t19 (forall @t18 (= @t17 (and @t57 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 58.73/59.01 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t69)))) % 58.73/59.01 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 58.73/59.01 (assume @p53 (forall @t25 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t70) @t23))))) % 58.73/59.01 (assume @p54 (forall @t25 (=> @t52 (= @t54 (tptp.aSubsetOf0 @t69 @t70))))) % 58.73/59.01 (assume @p55 (forall @t3 (=> (and @t66 @t9) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t70)))))) % 58.73/59.01 (assume @p56 (forall @t3 (=> @t47 (= (tptp.sbrdtbr0 @t69) @t1)))) % 58.73/59.01 (assume @p57 (forall @t25 (=> @t64 (forall @t18 (= (= @t15 @t73) (and @t27 (forall @t34 (= @t33 (and @t72 (= @t71 @t5)))))))))) % 58.73/59.01 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t51 (tptp.isFinite0 @t73)))))) % 58.73/59.01 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t51 (not (= @t73 tptp.slcrc0))))))) % 58.73/59.01 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t73)))))) % 58.73/59.01 (assume @p61 (forall @t3 (=> @t47 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t53)) (=> (and (tptp.aSubsetOf0 @t74 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t74 tptp.slcrc0))) @t26)))))) % 58.73/59.01 (assume @p62 (forall @t25 (=> @t64 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t73) (tptp.isFinite0 @t15)) (exists @t34 (and @t72 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 58.73/59.01 (assume @p63 (forall @t3 (=> @t75 true))) % 58.73/59.01 (assume @p64 (forall @t3 (=> @t75 (tptp.aSet0 @t76)))) % 58.73/59.01 (assume @p65 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElement0 @t77)))))) % 58.73/59.01 (assume @p66 (forall @t25 (=> @t82 (forall @t18 (= (= @t15 @t81) (and @t27 (forall @t34 (= @t33 (and @t80 (= @t79 @t5)))))))))) % 58.73/59.01 (assume @p67 (forall @t25 (=> @t82 (tptp.aSubsetOf0 @t81 @t76)))) % 58.73/59.01 (assume @p68 (forall @t3 (=> @t75 (forall @t8 (=> @t87 (forall @t18 (= (= @t15 @t86) (and @t27 (forall @t34 (= @t33 (exists @t85 (and @t84 (= (tptp.sdtlpdtrp0 @t1 @t83) @t29))))))))))))) % 58.73/59.01 (assume @p69 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElementOf0 @t77 @t88)))))) % 58.73/59.01 (assume @p70 (forall @t3 (=> @t75 (forall @t8 (=> @t87 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t91 (= @t90 @t5) (forall @t34 (=> @t89 (= (tptp.sdtlpdtrp0 @t15 @t29) @t79))))))))))) % 58.73/59.01 (assume @p71 (forall @t3 (=> @t75 (forall @t8 (=> (and @t87 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t76) @t80 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t79)))) (tptp.isCountable0 @t86))))))) % 58.73/59.01 (assume @p72 (forall @t3 (=> @t75 (=> (and (tptp.isCountable0 @t76) (tptp.isFinite0 @t88)) (and (tptp.aElement0 @t92) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t92))))))) % 58.73/59.01 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 58.73/59.01 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 58.73/59.01 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t93 @t47)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 58.73/59.01 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t99 (and @t2 @t102 @t101 @t100)) (=> (and (or (and @t2 @t102) @t101) @t100) @t99))) (= @t94 @t98) (tptp.aSet0 @t95) (forall @t3 (= @t97 (exists @t8 (and (tptp.aElementOf0 @t5 @t94) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t97 @t96)) (tptp.aSubsetOf0 @t95 tptp.xT))) % 58.73/59.01 (assume @p77 (forall @t3 (=> @t47 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t57))) @t68) @t39) (forall @t18 (=> (and @t91 (or (forall @t34 (and (=> @t109 (and (or (and @t114 @t113) @t111) @t110)) (=> (and @t114 @t113 @t111 @t110) @t109))) (= @t90 @t74)) (=> (and (tptp.aSet0 @t107) (forall @t34 (= @t108 (exists @t85 (and (tptp.aElementOf0 @t83 @t90) (= (tptp.sdtlpdtrp0 @t15 @t83) @t29)))))) (or (forall @t34 (=> @t108 @t106)) (tptp.aSubsetOf0 @t107 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t106 (exists @t85 (and (tptp.aSet0 @t83) (forall @t105 (=> (tptp.aElementOf0 @t103 @t83) (tptp.aElementOf0 @t103 @t5))) (tptp.aSubsetOf0 @t83 @t5) (tptp.isCountable0 @t83) (forall @t105 (=> (or (and (or (and (tptp.aSet0 @t103) (forall (@list @t104) (=> (tptp.aElementOf0 @t104 @t103) (tptp.aElementOf0 @t104 @t83)))) (tptp.aSubsetOf0 @t103 @t83)) (= (tptp.sbrdtbr0 @t103) @t1)) (tptp.aElementOf0 @t103 (tptp.slbdtsldtrb0 @t83 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t103) @t29))))))))))))))) % 58.73/59.01 (assume @p78 (not (= tptp.xK tptp.sz00))) % 58.73/59.01 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 58.73/59.01 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t129 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t47 (=> (and (or (and @t128 @t127) @t126) @t125) (and @t124 @t123 @t122 @t121 (tptp.aSet0 @t115) (forall @t8 (=> (tptp.aElementOf0 @t5 @t115) @t119)) (tptp.aSubsetOf0 @t115 @t118) (tptp.isCountable0 @t115))))))) % 58.73/59.01 (assume @p81 (forall @t3 (=> @t47 (and @t128 @t127 @t126 @t125)))) % 58.73/59.01 (assume @p82 @t138) % 58.73/59.01 (assume @p83 (forall @t25 (=> (and @t47 @t51 (not @t23)) (not (=> @t141 (or (and (tptp.aElementOf0 @t117 @t130) (forall @t18 (=> @t132 @t139))) (= @t117 (tptp.szmzizndt0 @t130)))))))) % 58.73/59.01 (assume @p84 (forall @t3 (=> @t47 (forall @t8 (=> @t153 (and @t124 @t140 (tptp.aSet0 @t142) @t146 (forall @t18 (=> @t143 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t142 tptp.xS) (= (tptp.sbrdtbr0 @t142) tptp.xK) (tptp.aElementOf0 @t142 @t98))))))) % 58.73/59.01 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aFunction0 @t154) @t124 @t123 @t122 @t121 (forall @t8 (and (=> @t157 (and @t19 @t151 @t149 @t148)) (=> (and @t158 @t148) @t157))) (= @t156 @t147) (forall @t8 (=> @t153 (and @t124 @t140 @t146 (= @t155 (tptp.sdtlpdtrp0 tptp.xc @t142)))))))))) % 58.73/59.01 (assume @p86 (forall @t3 (=> @t47 (and (tptp.aSet0 @t159) (forall @t8 (= @t161 (exists @t18 (and (tptp.aElementOf0 @t15 @t156) @t162)))) (forall @t8 (=> @t161 @t160)) (tptp.aSubsetOf0 @t159 tptp.xT))))) % 58.73/59.01 (assume @p87 (forall @t3 (=> @t47 (forall @t8 (=> (and (=> @t141 (=> @t152 @t158)) @t39) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t89)) (tptp.aSubsetOf0 @t15 @t5)) @t169) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t124 @t168 @t122 @t167 @t165 @t163 (tptp.aElementOf0 @t15 @t147))))))))) % 58.73/59.01 (assume @p88 (forall @t3 (=> @t47 (exists @t8 (and @t160 (exists @t18 (and @t124 @t168 @t122 @t167 @t27 @t165 @t163 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t114 (or (and (or (forall @t85 (=> @t112 (tptp.aElementOf0 @t83 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t71 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t154 @t29) @t5)))))))))) % 58.73/59.01 (assume @p89 (forall @t3 (=> @t47 (exists @t8 (and @t160 (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 (tptp.aElementOf0 @t29 @t115))) (tptp.aSubsetOf0 @t15 @t115)) @t169) (tptp.aElementOf0 @t15 @t170))) @t162))))))) % 58.73/59.01 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t171 @t116) (forall @t8 (=> @t120 (tptp.sdtlseqdt0 @t171 @t5))) (= @t171 @t117)))))) % 58.73/59.01 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t173 tptp.szNzAzT0) (forall @t3 (=> @t47 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t115))) (tptp.aSubsetOf0 @t5 @t115)) @t148) (tptp.aElementOf0 @t5 @t170))) (= @t172 @t155))))))) % 58.73/59.01 (assume @p92 (and (tptp.aSet0 @t174) (forall @t3 (= @t175 (exists @t8 (and (tptp.aElementOf0 @t5 @t173) (= @t176 @t1))))) (forall @t3 (=> @t175 @t96)) (tptp.aSubsetOf0 @t174 tptp.xT))) % 58.73/59.01 (assume @p93 (and (tptp.aElementOf0 @t177 tptp.xT) @t181 @t180)) % 58.73/59.01 (assume @p94 (and @t186 @t181 @t180 (forall @t3 (= @t185 @t184)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t178)))) % 58.73/59.01 (assume @p95 (and @t186 (tptp.isCountable0 tptp.xO))) % 58.73/59.01 (assume @p96 (forall @t3 (=> (or @t184 @t185) (exists @t8 (and @t51 (= @t176 @t177) @t183 @t182))))) % 58.73/59.01 (assume @p97 (and (forall @t3 (=> @t185 @t93)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 58.73/59.01 (assume @p98 (and (tptp.aSet0 tptp.xQ) @t188 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 58.73/59.01 (assume @p99 (and @t188 (not (or (not (exists @t3 @t187)) (= tptp.xQ tptp.slcrc0))))) % 58.73/59.01 (assume @p100 (and (forall @t3 (=> @t187 @t47)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 58.73/59.01 (assume @p101 (and @t190 @t189 @t190 @t189 (tptp.aElementOf0 tptp.xQ @t94))) % 58.73/59.01 (assume @p102 (and @t192 (forall @t3 (=> @t187 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t191))) % 58.73/59.01 (assume @p103 (and (tptp.aSet0 tptp.xP) (forall @t3 (=> @t187 (tptp.sdtlseqdt0 @t191 @t1))) (forall @t3 (= @t193 (and @t4 @t187 (not (= @t1 @t191))))) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t191)))) % 58.73/59.01 (assume @p104 @t192) % 58.73/59.01 (assume @p105 (exists @t3 (and @t179 (= @t171 tptp.xp)))) % 58.73/59.01 (assume @p106 (and (forall @t3 (=> @t193 @t187)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 58.73/59.01 (assume @p107 (and (forall @t3 (=> @t193 @t185)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 58.73/59.01 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 58.73/59.01 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 58.73/59.01 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t173) @t195 (tptp.aElementOf0 tptp.xn @t178) @t194 (= (tptp.sdtlpdtrp0 tptp.xe tptp.xn) tptp.xp))) % 58.73/59.01 (assume @p111 @t195) % 58.73/59.01 (assume @p112 (and (tptp.aElement0 tptp.xx) (tptp.aElementOf0 tptp.xx tptp.xQ) (not (= tptp.xx @t191)) (tptp.aElementOf0 tptp.xx tptp.xP))) % 58.73/59.01 (assume @p113 (and (tptp.aElementOf0 tptp.xx tptp.szNzAzT0) (exists @t3 (and @t179 (= @t171 tptp.xx))))) % 58.73/59.01 (assume @p114 (and @t196 (= tptp.xx (tptp.sdtlpdtrp0 tptp.xe tptp.xm)))) % 58.73/59.01 (assume @p115 (forall @t3 (=> @t198 (tptp.sdtlseqdt0 tptp.xx @t1)))) % 58.73/59.01 (assume @p116 @t205) % 58.73/59.01 (assume @p117 @t211) % 58.73/59.01 (assume @p118 (not (tptp.aElementOf0 tptp.xx @t200))) % 58.73/59.01 (assume @p119 true) % 58.73/59.01 (step @p120 :rule refl :args (@t58)) % 58.73/59.01 (step @p121 :rule refl :args (@t54)) % 58.73/59.01 (step @p122 :rule and_elim :premises (@p80) :args (1)) % 58.73/59.01 (step @p123 :rule symm :premises (@p122)) % 58.73/59.01 (step @p124 :rule refl :args (@t5)) % 58.73/59.01 (step @p125 :rule cong :premises (@p124 @p123) :args (@t51)) % 58.73/59.01 (step @p126 :rule cong :premises (@p125) :args (@t212)) % 58.73/59.01 (step @p127 :rule refl :args (@t1)) % 58.73/59.01 (step @p128 :rule cong :premises (@p127 @p123) :args (@t47)) % 58.73/59.01 (step @p129 :rule cong :premises (@p128) :args (@t213)) % 58.73/59.01 (step @p130 :rule nary_cong :premises (@p129 @p126 @p121 @p120) :args (@t214)) % 58.73/59.01 (step @p131 :rule cong :premises (@p130) :args ((forall @t25 @t214))) % 58.73/59.01 (step @p132 :rule aci_norm :args ((= (or @t215 @t59) @t214))) % 58.73/59.01 (step @p133 :rule refl :args (@t59)) % 58.73/59.01 (step @p134 :rule bool-and-de-morgan :args (@t47 @t51 true)) % 58.73/59.01 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t216 @t59))) % 58.73/59.01 (step @p136 :rule trans :premises (@p135 @p132)) % 58.73/59.01 (step @p137 :rule bool-impl-elim :args (@t52 @t59)) % 58.73/59.01 (step @p138 :rule trans :premises (@p137 @p136)) % 58.73/59.01 (step @p139 :rule cong :premises (@p138) :args (@t60)) % 58.73/59.01 (step @p140 :rule trans :premises (@p139 @p131)) % 58.73/59.01 (step @p141 :rule eq_resolve :premises (@p37 @p140)) % 58.73/59.01 (step @p142 :rule refl :args (@t219)) % 58.73/59.01 (step @p143 :rule refl :args (@t220)) % 58.73/59.01 (step @p144 :rule nary_cong :premises (@p129 @p126 @p143 @p142) :args (@t221)) % 58.73/59.01 (step @p145 :rule cong :premises (@p144) :args (@t222)) % 58.73/59.01 (step @p146 :rule quant-merge-prenex :args ((= (forall @t25 @t224) @t222))) % 58.73/59.01 (step @p147 :rule quant-unused-vars :args ((= @t225 @t131))) % 58.73/59.01 (step @p148 :rule alpha_equiv :args (@t226 (@list @t217) (@list @t15))) % 58.73/59.01 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t227)) % 58.73/59.01 (step @p150 :rule quant-miniscope-and :args ((= @t228 @t227))) % 58.73/59.01 (step @p151 :rule trans :premises (@p150 @p149)) % 58.73/59.01 (step @p152 :rule refl :args (@t220)) % 58.73/59.01 (step @p153 :rule refl :args (@t212)) % 58.73/59.01 (step @p154 :rule refl :args (@t213)) % 58.73/59.01 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151) :args (@t229)) % 58.73/59.01 (step @p156 :rule quant-miniscope-or :args ((= @t224 @t229))) % 58.73/59.01 (step @p157 :rule trans :premises (@p156 @p155)) % 58.73/59.01 (step @p158 :rule symm :premises (@p157)) % 58.73/59.01 (step @p159 :rule cong :premises (@p158) :args ((forall @t25 @t231))) % 58.73/59.01 (step @p160 :rule trans :premises (@p159 @p146)) % 58.73/59.01 (step @p161 :rule aci_norm :args ((= (or @t215 (or @t220 @t230)) @t231))) % 58.73/59.01 (step @p162 :rule bool-impl-elim :args (@t55 @t230)) % 58.73/59.01 (step @p163 :rule nary_cong :premises (@p134 @p162) :args ((or @t216 @t232))) % 58.73/59.01 (step @p164 :rule trans :premises (@p163 @p161)) % 58.73/59.01 (step @p165 :rule bool-impl-elim :args (@t52 @t232)) % 58.73/59.01 (step @p166 :rule trans :premises (@p165 @p164)) % 58.73/59.01 (step @p167 :rule cong :premises (@p166) :args ((forall @t25 (=> @t52 @t232)))) % 58.73/59.01 (step @p168 :rule trans :premises (@p167 @p160)) % 58.73/59.01 (step @p169 :rule refl :args (@t131)) % 58.73/59.01 (step @p170 :rule bool-impl-elim :args (@t133 @t132)) % 58.73/59.01 (step @p171 :rule cong :premises (@p170) :args (@t134)) % 58.73/59.01 (step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t135)) % 58.73/59.01 (step @p173 :rule refl :args (@t55)) % 58.73/59.01 (step @p174 :rule cong :premises (@p173 @p172) :args (@t136)) % 58.73/59.01 (step @p175 :rule refl :args (@t52)) % 58.73/59.01 (step @p176 :rule cong :premises (@p175 @p174) :args (@t137)) % 58.73/59.01 (step @p177 :rule cong :premises (@p176) :args (@t138)) % 58.73/59.01 (step @p178 :rule trans :premises (@p177 @p168)) % 58.73/59.01 (step @p179 :rule trans :premises (@p178 @p145)) % 58.73/59.01 (step @p180 :rule eq_resolve :premises (@p82 @p179)) % 58.73/59.01 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.xn tptp.xm tptp.sz00))) % 58.73/59.01 (step @p182 :rule refl :args (@t207)) % 58.73/59.01 (step @p183 :rule bool-impl-elim :args (@t208 @t198)) % 58.73/59.01 (step @p184 :rule cong :premises (@p183) :args (@t209)) % 58.73/59.01 (step @p185 :rule nary_cong :premises (@p184 @p182) :args (@t210)) % 58.73/59.01 (step @p186 :rule cong :premises (@p185) :args (@t211)) % 58.73/59.01 (step @p187 :rule eq_resolve :premises (@p117 @p186)) % 58.73/59.01 (step @p188 :rule not_or_elim :premises (@p187) :args (1)) % 58.73/59.01 (step @p189 :rule cnf_and_pos :args (@t234 1)) % 58.73/59.01 (step @p190 :rule reordering :premises (@p189) :args ((or @t207 @t235))) % 58.73/59.01 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t235 @t236 (@list @t207))) % 58.73/59.01 (step @p192 :rule refl :args (tptp.xm)) % 58.73/59.01 (step @p193 :rule cong :premises (@p192 @p123) :args (@t196)) % 58.73/59.01 (step @p194 :rule and_elim :premises (@p114) :args (0)) % 58.73/59.01 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 58.73/59.01 (step @p196 :rule refl :args (tptp.xn)) % 58.73/59.01 (step @p197 :rule cong :premises (@p196 @p123) :args (@t194)) % 58.73/59.01 (step @p198 :rule and_elim :premises (@p110) :args (3)) % 58.73/59.01 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 58.73/59.01 (step @p200 :rule cnf_or_pos :args (@t243)) % 58.73/59.01 (step @p201 :rule reordering :premises (@p200) :args ((or @t242 @t240 @t238 @t234 (not @t243)))) % 58.73/59.01 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p195 @p191 @p181) :args (@t238 @t244 (@list @t241 @t239 @t234 @t243))) % 58.73/59.01 (step @p203 :rule instantiate :premises (@p180) :args ((@list tptp.xm @t199 tptp.sz00))) % 58.73/59.01 (step @p204 :rule refl :args (@t201)) % 58.73/59.01 (step @p205 :rule bool-impl-elim :args (@t198 @t202)) % 58.73/59.01 (step @p206 :rule cong :premises (@p205) :args (@t203)) % 58.73/59.01 (step @p207 :rule nary_cong :premises (@p206 @p204) :args (@t204)) % 58.73/59.01 (step @p208 :rule cong :premises (@p207) :args (@t205)) % 58.73/59.01 (step @p209 :rule eq_resolve :premises (@p116 @p208)) % 58.73/59.01 (step @p210 :rule not_or_elim :premises (@p209) :args (1)) % 58.73/59.02 (step @p211 :rule cnf_and_pos :args (@t245 1)) % 58.73/59.02 (step @p212 :rule reordering :premises (@p211) :args ((or @t201 @t246))) % 58.73/59.02 (step @p213 :rule chain_m_resolution :premises (@p212 @p210) :args (@t246 @t236 (@list @t201))) % 58.73/59.02 (step @p214 :rule refl :args (@t247)) % 58.73/59.02 (step @p215 :rule refl :args (@t43)) % 58.73/59.02 (step @p216 :rule cong :premises (@p215 @p123) :args (@t45)) % 58.73/59.02 (step @p217 :rule nary_cong :premises (@p216 @p214) :args (@t248)) % 58.73/59.02 (step @p218 :rule nary_cong :premises (@p129 @p217) :args (@t249)) % 58.73/59.02 (step @p219 :rule cong :premises (@p218) :args ((forall @t3 @t249))) % 58.73/59.02 (step @p220 :rule bool-impl-elim :args (@t47 @t248)) % 58.73/59.02 (step @p221 :rule cong :premises (@p220) :args ((forall @t3 (=> @t47 @t248)))) % 58.73/59.02 (step @p222 :rule eq-symm :args (@t43 tptp.sz00)) % 58.73/59.02 (step @p223 :rule cong :premises (@p222) :args (@t44)) % 58.73/59.02 (step @p224 :rule refl :args (@t45)) % 58.73/59.02 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t46)) % 58.73/59.02 (step @p226 :rule refl :args (@t47)) % 58.73/59.02 (step @p227 :rule cong :premises (@p226 @p225) :args (@t48)) % 58.73/59.02 (step @p228 :rule cong :premises (@p227) :args (@t49)) % 58.73/59.02 (step @p229 :rule trans :premises (@p228 @p221)) % 58.73/59.02 (step @p230 :rule trans :premises (@p229 @p219)) % 58.73/59.02 (step @p231 :rule eq_resolve :premises (@p25 @p230)) % 58.73/59.02 (step @p232 :rule instantiate :premises (@p231) :args ((@list tptp.xn))) % 58.73/59.02 (step @p233 :rule cnf_or_pos :args (@t252)) % 58.73/59.02 (step @p234 :rule reordering :premises (@p233) :args ((or @t242 @t251 (not @t252)))) % 58.73/59.02 (step @p235 :rule chain_m_resolution :premises (@p234 @p199 @p232) :args (@t251 (@list false false) (@list @t241 @t252))) % 58.73/59.02 (step @p236 :rule cnf_and_pos :args (@t251 0)) % 58.73/59.02 (step @p237 :rule reordering :premises (@p236) :args ((or @t250 (not @t251)))) % 58.73/59.02 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t250 (@list false) (@list @t251))) % 58.73/59.02 (step @p239 :rule cnf_or_pos :args (@t256)) % 58.73/59.02 (step @p240 :rule reordering :premises (@p239) :args ((or @t240 @t255 @t254 @t245 (not @t256)))) % 58.73/59.02 (step @p241 :rule chain_m_resolution :premises (@p240 @p195 @p238 @p213 @p203) :args (@t254 @t244 (@list @t239 @t250 @t245 @t256))) % 58.73/59.02 (step @p242 :rule cnf_or_pos :args (@t257)) % 58.73/59.02 (step @p243 :rule reordering :premises (@p242) :args ((or @t242 @t240 @t253 @t237 @t258))) % 58.73/59.02 (step @p244 :rule chain_m_resolution :premises (@p243 @p199 @p195 @p241 @p202) :args (@t258 (@list false false true true) (@list @t241 @t239 @t253 @t237))) % 58.73/59.02 (assume-push @p251 @t259) % 58.73/59.02 (step @p246 :rule instantiate :premises (@p141) :args ((@list tptp.xm tptp.xn))) % 58.73/59.02 (step-pop @p252 :rule scope :premises (@p246)) % 58.73/59.02 (step @p247 :rule process_scope :premises (@p252) :args (@t257)) % 58.73/59.02 (step @p249 :rule implies_elim :premises (@p247)) % 58.73/59.02 (step @p250 false :rule chain_m_resolution :premises (@p249 @p244 @p141) :args (false (@list true false) (@list @t257 @t259))) % 58.73/59.02 ) % 58.73/59.02 % SZS output end Proof % 58.73/59.02 % cvc5 exiting %------------------------------------------------------------------------------