%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM611+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 : n012.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 08:40:00 AM UTC 2026 % Result : Theorem 35.94s 36.19s % Output : Proof 35.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM611+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:36:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.36 %----Proving TF0_NAR, FOF, or CNF % 35.94/36.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.94/36.19 --- Run --no-e-matching --full-saturate-quant at 6... % 35.94/36.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.94/36.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.94/36.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.94/36.19 % SZS status Theorem % 35.94/36.19 % SZS output start Proof % 35.94/36.19 ( % 35.94/36.19 (declare-sort $$unsorted 0) % 35.94/36.19 (declare-const tptp.xQ $$unsorted) % 35.94/36.19 (declare-const tptp.xN $$unsorted) % 35.94/36.19 (declare-const tptp.sz00 $$unsorted) % 35.94/36.19 (declare-const tptp.xC $$unsorted) % 35.94/36.19 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.szNzAzT0 $$unsorted) % 35.94/36.19 (declare-const tptp.xk $$unsorted) % 35.94/36.19 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.xd $$unsorted) % 35.94/36.19 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.xP $$unsorted) % 35.94/36.19 (declare-const tptp.xO $$unsorted) % 35.94/36.19 (declare-const tptp.xe $$unsorted) % 35.94/36.19 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 35.94/36.19 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.xK $$unsorted) % 35.94/36.19 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.xp $$unsorted) % 35.94/36.19 (declare-const tptp.xT $$unsorted) % 35.94/36.19 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.xS $$unsorted) % 35.94/36.19 (declare-const tptp.xc $$unsorted) % 35.94/36.19 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.slcrc0 $$unsorted) % 35.94/36.19 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.19 (define @t1 () (@var "W0" $$unsorted)) % 35.94/36.19 (define @t2 () (tptp.aSet0 @t1)) % 35.94/36.19 (define @t3 () (@list @t1)) % 35.94/36.19 (define @t4 () (tptp.aElement0 @t1)) % 35.94/36.19 (define @t5 () (@var "W1" $$unsorted)) % 35.94/36.19 (define @t6 () (tptp.aElement0 @t5)) % 35.94/36.19 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 35.94/36.19 (define @t8 () (@list @t5)) % 35.94/36.19 (define @t9 () (tptp.isFinite0 @t1)) % 35.94/36.19 (define @t10 () (= @t1 tptp.slcrc0)) % 35.94/36.19 (define @t11 () (tptp.isCountable0 @t1)) % 35.94/36.19 (define @t12 () (not @t9)) % 35.94/36.19 (define @t13 () (and @t2 @t11)) % 35.94/36.19 (define @t14 () (not @t10)) % 35.94/36.19 (define @t15 () (@var "W2" $$unsorted)) % 35.94/36.19 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 35.94/36.19 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 35.94/36.19 (define @t18 () (@list @t15)) % 35.94/36.19 (define @t19 () (tptp.aSet0 @t5)) % 35.94/36.19 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 35.94/36.19 (define @t21 () (tptp.isFinite0 @t5)) % 35.94/36.19 (define @t22 () (forall @t8 (=> @t20 @t21))) % 35.94/36.19 (define @t23 () (and @t2 @t9)) % 35.94/36.19 (define @t24 () (=> @t23 @t22)) % 35.94/36.19 (define @t25 () (forall @t3 @t24)) % 35.94/36.19 (define @t26 () (= @t1 @t5)) % 35.94/36.19 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 35.94/36.19 (define @t28 () (@list @t1 @t5)) % 35.94/36.19 (define @t29 () (tptp.aSubsetOf0 @t5 @t15)) % 35.94/36.19 (define @t30 () (tptp.aSet0 @t15)) % 35.94/36.19 (define @t31 () (@list @t1 @t5 @t15)) % 35.94/36.19 (define @t32 () (@var "W3" $$unsorted)) % 35.94/36.19 (define @t33 () (= @t32 @t5)) % 35.94/36.19 (define @t34 () (tptp.aElementOf0 @t32 @t1)) % 35.94/36.19 (define @t35 () (tptp.aElement0 @t32)) % 35.94/36.19 (define @t36 () (tptp.aElementOf0 @t32 @t15)) % 35.94/36.19 (define @t37 () (@list @t32)) % 35.94/36.19 (define @t38 () (tptp.sdtpldt0 @t1 @t5)) % 35.94/36.19 (define @t39 () (and @t2 @t6)) % 35.94/36.19 (define @t40 () (tptp.sdtmndt0 @t1 @t5)) % 35.94/36.19 (define @t41 () (tptp.sdtpldt0 @t5 @t1)) % 35.94/36.19 (define @t42 () (tptp.isCountable0 @t5)) % 35.94/36.19 (define @t43 () (and @t19 @t42)) % 35.94/36.19 (define @t44 () (tptp.sdtmndt0 @t5 @t1)) % 35.94/36.19 (define @t45 () (and @t19 @t21)) % 35.94/36.19 (define @t46 () (tptp.szszuzczcdt0 @t1)) % 35.94/36.19 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 35.94/36.19 (define @t48 () (tptp.szszuzczcdt0 @t5)) % 35.94/36.19 (define @t49 () (= @t46 @t48)) % 35.94/36.19 (define @t50 () (=> @t49 @t26)) % 35.94/36.19 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 35.94/36.19 (define @t52 () (and @t47 @t51)) % 35.94/36.19 (define @t53 () (forall @t28 (=> @t52 @t50))) % 35.94/36.19 (define @t54 () (= @t1 tptp.sz00)) % 35.94/36.19 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.94/36.19 (define @t56 () (tptp.sdtlseqdt0 @t5 @t1)) % 35.94/36.19 (define @t57 () (tptp.sdtlseqdt0 @t5 @t15)) % 35.94/36.19 (define @t58 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 35.94/36.19 (define @t59 () (tptp.sbrdtbr0 @t1)) % 35.94/36.19 (define @t60 () (tptp.aElementOf0 @t59 tptp.szNzAzT0)) % 35.94/36.19 (define @t61 () (=> @t2 (= @t60 @t9))) % 35.94/36.19 (define @t62 () (forall @t3 @t61)) % 35.94/36.19 (define @t63 () (not @t7)) % 35.94/36.19 (define @t64 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t40))) % 35.94/36.19 (define @t65 () (and @t9 @t7)) % 35.94/36.19 (define @t66 () (=> @t65 (= @t64 @t59))) % 35.94/36.19 (define @t67 () (forall @t8 @t66)) % 35.94/36.19 (define @t68 () (=> @t2 @t67)) % 35.94/36.19 (define @t69 () (forall @t3 @t68)) % 35.94/36.19 (define @t70 () (tptp.sbrdtbr0 @t5)) % 35.94/36.19 (define @t71 () (tptp.sbrdtbr0 @t15)) % 35.94/36.19 (define @t72 () (and @t2 @t51)) % 35.94/36.19 (define @t73 () (tptp.szmzizndt0 @t1)) % 35.94/36.19 (define @t74 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 35.94/36.19 (define @t75 () (tptp.szmzizndt0 @t5)) % 35.94/36.19 (define @t76 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 35.94/36.19 (define @t77 () (tptp.slbdtrb0 @t1)) % 35.94/36.19 (define @t78 () (tptp.slbdtrb0 @t5)) % 35.94/36.19 (define @t79 () (tptp.sbrdtbr0 @t32)) % 35.94/36.19 (define @t80 () (tptp.aSubsetOf0 @t32 @t1)) % 35.94/36.19 (define @t81 () (tptp.slbdtsldtrb0 @t1 @t5)) % 35.94/36.19 (define @t82 () (tptp.slbdtsldtrb0 @t5 @t1)) % 35.94/36.19 (define @t83 () (tptp.aFunction0 @t1)) % 35.94/36.19 (define @t84 () (tptp.szDzozmdt0 @t1)) % 35.94/36.19 (define @t85 () (tptp.sdtlpdtrp0 @t1 @t5)) % 35.94/36.19 (define @t86 () (tptp.aElementOf0 @t5 @t84)) % 35.94/36.19 (define @t87 () (tptp.sdtlpdtrp0 @t1 @t32)) % 35.94/36.19 (define @t88 () (tptp.aElementOf0 @t32 @t84)) % 35.94/36.19 (define @t89 () (tptp.sdtlbdtrb0 @t1 @t5)) % 35.94/36.19 (define @t90 () (and @t83 @t6)) % 35.94/36.19 (define @t91 () (@var "W4" $$unsorted)) % 35.94/36.19 (define @t92 () (tptp.aElementOf0 @t91 @t5)) % 35.94/36.19 (define @t93 () (@list @t91)) % 35.94/36.19 (define @t94 () (tptp.sdtlcdtrc0 @t1 @t5)) % 35.94/36.19 (define @t95 () (tptp.aSubsetOf0 @t5 @t84)) % 35.94/36.19 (define @t96 () (tptp.sdtlcdtrc0 @t1 @t84)) % 35.94/36.19 (define @t97 () (tptp.aElementOf0 @t32 @t5)) % 35.94/36.19 (define @t98 () (tptp.szDzozmdt0 @t15)) % 35.94/36.19 (define @t99 () (tptp.aFunction0 @t15)) % 35.94/36.19 (define @t100 () (tptp.szDzizrdt0 @t1)) % 35.94/36.19 (define @t101 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 35.94/36.19 (define @t102 () (tptp.aElementOf0 @t1 tptp.xS)) % 35.94/36.19 (define @t103 () (tptp.szDzozmdt0 tptp.xc)) % 35.94/36.19 (define @t104 () (tptp.sdtlcdtrc0 tptp.xc @t103)) % 35.94/36.19 (define @t105 () (tptp.aElementOf0 @t1 tptp.xT)) % 35.94/36.19 (define @t106 () (tptp.aElementOf0 @t1 @t104)) % 35.94/36.19 (define @t107 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 35.94/36.19 (define @t108 () (tptp.aElementOf0 @t1 @t103)) % 35.94/36.19 (define @t109 () (= @t59 tptp.xK)) % 35.94/36.19 (define @t110 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 35.94/36.19 (define @t111 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 35.94/36.19 (define @t112 () (@var "W5" $$unsorted)) % 35.94/36.19 (define @t113 () (@var "W6" $$unsorted)) % 35.94/36.19 (define @t114 () (@list @t112)) % 35.94/36.19 (define @t115 () (tptp.aElementOf0 @t32 tptp.xT)) % 35.94/36.19 (define @t116 () (tptp.sdtlcdtrc0 @t15 @t98)) % 35.94/36.19 (define @t117 () (tptp.aElementOf0 @t32 @t116)) % 35.94/36.19 (define @t118 () (tptp.aElementOf0 @t32 @t98)) % 35.94/36.19 (define @t119 () (= @t79 @t1)) % 35.94/36.19 (define @t120 () (tptp.aSubsetOf0 @t32 @t5)) % 35.94/36.19 (define @t121 () (tptp.aElementOf0 @t91 @t32)) % 35.94/36.19 (define @t122 () (forall @t93 (=> @t121 @t92))) % 35.94/36.19 (define @t123 () (tptp.aSet0 @t32)) % 35.94/36.19 (define @t124 () (tptp.szszuzczcdt0 tptp.xk)) % 35.94/36.19 (define @t125 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 35.94/36.19 (define @t126 () (tptp.sdtlpdtrp0 tptp.xN @t46)) % 35.94/36.19 (define @t127 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 35.94/36.19 (define @t128 () (tptp.szmzizndt0 @t127)) % 35.94/36.19 (define @t129 () (tptp.sdtmndt0 @t127 @t128)) % 35.94/36.19 (define @t130 () (tptp.aElementOf0 @t5 @t129)) % 35.94/36.19 (define @t131 () (tptp.aElementOf0 @t5 @t127)) % 35.94/36.19 (define @t132 () (forall @t8 (= @t130 (and @t6 @t131 (not (= @t5 @t128)))))) % 35.94/36.19 (define @t133 () (tptp.aSet0 @t129)) % 35.94/36.19 (define @t134 () (forall @t8 (=> @t131 (tptp.sdtlseqdt0 @t128 @t5)))) % 35.94/36.19 (define @t135 () (tptp.aElementOf0 @t128 @t127)) % 35.94/36.19 (define @t136 () (tptp.isCountable0 @t127)) % 35.94/36.19 (define @t137 () (tptp.aSubsetOf0 @t127 tptp.szNzAzT0)) % 35.94/36.19 (define @t138 () (forall @t8 (=> @t131 @t51))) % 35.94/36.19 (define @t139 () (tptp.aSet0 @t127)) % 35.94/36.19 (define @t140 () (tptp.szDzozmdt0 tptp.xN)) % 35.94/36.19 (define @t141 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 35.94/36.19 (define @t142 () (tptp.aElementOf0 @t15 @t141)) % 35.94/36.19 (define @t143 () (tptp.aElementOf0 @t15 @t127)) % 35.94/36.19 (define @t144 () (tptp.sdtlseqdt0 @t128 @t15)) % 35.94/36.19 (define @t145 () (forall @t18 (=> @t143 @t144))) % 35.94/36.19 (define @t146 () (and @t135 @t145)) % 35.94/36.19 (define @t147 () (tptp.sdtpldt0 @t5 @t128)) % 35.94/36.19 (define @t148 () (tptp.aElementOf0 @t15 @t147)) % 35.94/36.19 (define @t149 () (= @t15 @t128)) % 35.94/36.19 (define @t150 () (tptp.aElement0 @t15)) % 35.94/36.19 (define @t151 () (forall @t18 (= @t148 (and @t150 (or @t17 @t149))))) % 35.94/36.19 (define @t152 () (tptp.slbdtsldtrb0 @t129 tptp.xk)) % 35.94/36.19 (define @t153 () (= @t70 tptp.xk)) % 35.94/36.19 (define @t154 () (tptp.aSubsetOf0 @t5 @t129)) % 35.94/36.19 (define @t155 () (tptp.aElementOf0 @t15 @t129)) % 35.94/36.19 (define @t156 () (forall @t18 (=> @t17 @t155))) % 35.94/36.19 (define @t157 () (and @t133 (forall @t18 (= @t155 (and @t150 @t143 (not @t149)))))) % 35.94/36.19 (define @t158 () (and @t19 (=> @t146 (=> @t157 (or (and (or @t156 @t154) @t153) (tptp.aElementOf0 @t5 @t152)))))) % 35.94/36.19 (define @t159 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 35.94/36.19 (define @t160 () (tptp.sdtlpdtrp0 @t159 @t5)) % 35.94/36.19 (define @t161 () (tptp.szDzozmdt0 @t159)) % 35.94/36.19 (define @t162 () (tptp.aElementOf0 @t5 @t161)) % 35.94/36.19 (define @t163 () (or (and @t19 @t156) @t154)) % 35.94/36.19 (define @t164 () (tptp.sdtlcdtrc0 @t159 @t161)) % 35.94/36.19 (define @t165 () (tptp.aElementOf0 @t5 tptp.xT)) % 35.94/36.19 (define @t166 () (tptp.aElementOf0 @t5 @t164)) % 35.94/36.19 (define @t167 () (= (tptp.sdtlpdtrp0 @t159 @t15) @t5)) % 35.94/36.19 (define @t168 () (tptp.aSubsetOf0 @t15 @t129)) % 35.94/36.19 (define @t169 () (tptp.aElementOf0 @t32 @t129)) % 35.94/36.19 (define @t170 () (forall @t37 (=> @t36 @t169))) % 35.94/36.19 (define @t171 () (tptp.aElementOf0 @t32 @t127)) % 35.94/36.19 (define @t172 () (forall @t37 (= @t169 (and @t35 @t171 (not (= @t32 @t128)))))) % 35.94/36.19 (define @t173 () (forall @t37 (=> @t171 (tptp.sdtlseqdt0 @t128 @t32)))) % 35.94/36.19 (define @t174 () (= @t71 tptp.xk)) % 35.94/36.19 (define @t175 () (tptp.slbdtsldtrb0 @t126 tptp.xk)) % 35.94/36.19 (define @t176 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 35.94/36.19 (define @t177 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 35.94/36.19 (define @t178 () (tptp.szDzozmdt0 tptp.xd)) % 35.94/36.19 (define @t179 () (tptp.sdtlcdtrc0 tptp.xd @t178)) % 35.94/36.19 (define @t180 () (tptp.aElementOf0 @t1 @t179)) % 35.94/36.19 (define @t181 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 35.94/36.19 (define @t182 () (tptp.szDzizrdt0 tptp.xd)) % 35.94/36.19 (define @t183 () (tptp.sdtlbdtrb0 tptp.xd @t182)) % 35.94/36.19 (define @t184 () (tptp.aElementOf0 @t1 @t183)) % 35.94/36.19 (define @t185 () (forall @t3 (= @t184 (and (tptp.aElementOf0 @t1 @t178) (= @t177 @t182))))) % 35.94/36.19 (define @t186 () (tptp.aSet0 @t183)) % 35.94/36.19 (define @t187 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 35.94/36.19 (define @t188 () (tptp.aElementOf0 @t5 @t183)) % 35.94/36.19 (define @t189 () (exists @t8 (and @t188 @t187))) % 35.94/36.19 (define @t190 () (tptp.aElementOf0 @t1 tptp.xO)) % 35.94/36.19 (define @t191 () (tptp.aSet0 tptp.xO)) % 35.94/36.19 (define @t192 () (tptp.sbrdtbr0 tptp.xQ)) % 35.94/36.19 (define @t193 () (tptp.aElementOf0 @t1 tptp.xQ)) % 35.94/36.19 (define @t194 () (forall @t3 (=> @t193 @t190))) % 35.94/36.19 (define @t195 () (tptp.aSet0 tptp.xQ)) % 35.94/36.19 (define @t196 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 35.94/36.19 (define @t197 () (forall @t3 (=> @t193 @t102))) % 35.94/36.19 (define @t198 () (tptp.szmzizndt0 tptp.xQ)) % 35.94/36.19 (define @t199 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 35.94/36.19 (define @t200 () (tptp.sdtmndt0 tptp.xQ @t198)) % 35.94/36.19 (define @t201 () (tptp.aElementOf0 @t1 tptp.xP)) % 35.94/36.19 (define @t202 () (tptp.aSet0 tptp.xP)) % 35.94/36.19 (define @t203 () (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 35.94/36.19 (define @t204 () (tptp.sbrdtbr0 tptp.xP)) % 35.94/36.19 (define @t205 () (not (= @t204 tptp.xk))) % 35.94/36.19 (define @t206 () (not @t49)) % 35.94/36.19 (define @t207 () (not @t51)) % 35.94/36.19 (define @t208 () (not @t47)) % 35.94/36.19 (define @t209 () (or @t208 @t207 @t206 @t26)) % 35.94/36.19 (define @t210 () (tptp.sbrdtbr0 @t200)) % 35.94/36.19 (define @t211 () (= @t9 @t60)) % 35.94/36.19 (define @t212 () (not @t2)) % 35.94/36.19 (define @t213 () (or @t212 @t211)) % 35.94/36.19 (define @t214 () (tptp.aElementOf0 @t210 @t140)) % 35.94/36.19 (define @t215 () (tptp.isFinite0 @t200)) % 35.94/36.19 (define @t216 () (= @t215 @t214)) % 35.94/36.19 (define @t217 () (tptp.aSet0 @t200)) % 35.94/36.19 (define @t218 () (not @t217)) % 35.94/36.19 (define @t219 () (or @t218 @t216)) % 35.94/36.19 (define @t220 () (@list false false)) % 35.94/36.19 (define @t221 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 35.94/36.19 (define @t222 () (tptp.isFinite0 @t221)) % 35.94/36.19 (define @t223 () (not (tptp.aSubsetOf0 @t221 @t1))) % 35.94/36.19 (define @t224 () (or @t223 @t222)) % 35.94/36.19 (define @t225 () (or @t212 @t12 @t224)) % 35.94/36.19 (define @t226 () (forall (@list @t1 @t221) @t225)) % 35.94/36.19 (define @t227 () (@list @t221)) % 35.94/36.19 (define @t228 () (forall @t227 @t225)) % 35.94/36.19 (define @t229 () (forall @t227 @t224)) % 35.94/36.19 (define @t230 () (@list @t5)) % 35.94/36.19 (define @t231 () (or @t212 @t12 @t229)) % 35.94/36.19 (define @t232 () (forall @t8 (or (not @t20) @t21))) % 35.94/36.19 (define @t233 () (or @t212 @t12 @t232)) % 35.94/36.19 (define @t234 () (tptp.aElementOf0 @t192 @t140)) % 35.94/36.19 (define @t235 () (tptp.isFinite0 tptp.xQ)) % 35.94/36.19 (define @t236 () (= @t235 @t234)) % 35.94/36.19 (define @t237 () (not @t195)) % 35.94/36.19 (define @t238 () (or @t237 @t236)) % 35.94/36.19 (define @t239 () (tptp.aSubsetOf0 @t200 tptp.xQ)) % 35.94/36.19 (define @t240 () (not @t239)) % 35.94/36.19 (define @t241 () (not @t235)) % 35.94/36.19 (define @t242 () (or @t237 @t241 @t240 @t215)) % 35.94/36.19 (define @t243 () (@list false false false false)) % 35.94/36.19 (define @t244 () (= tptp.xk @t204)) % 35.94/36.19 (define @t245 () (= tptp.xk @t210)) % 35.94/36.19 (define @t246 () (tptp.szszuzczcdt0 @t210)) % 35.94/36.19 (define @t247 () (not (= @t124 @t246))) % 35.94/36.19 (define @t248 () (not @t214)) % 35.94/36.19 (define @t249 () (tptp.aElementOf0 tptp.xk @t140)) % 35.94/36.19 (define @t250 () (not @t249)) % 35.94/36.19 (define @t251 () (or @t250 @t248 @t247 @t245)) % 35.94/36.19 (define @t252 () (@var "BOUND_VARIABLE_8898" $$unsorted)) % 35.94/36.19 (define @t253 () (= @t59 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t252))))) % 35.94/36.19 (define @t254 () (not (tptp.aElementOf0 @t252 @t1))) % 35.94/36.19 (define @t255 () (or @t254 @t253)) % 35.94/36.19 (define @t256 () (or @t212 @t12 @t255)) % 35.94/36.19 (define @t257 () (forall (@list @t1 @t252) @t256)) % 35.94/36.19 (define @t258 () (@list @t252)) % 35.94/36.19 (define @t259 () (forall @t258 @t256)) % 35.94/36.19 (define @t260 () (forall @t258 @t255)) % 35.94/36.19 (define @t261 () (or @t212 @t12 @t260)) % 35.94/36.19 (define @t262 () (= @t59 @t64)) % 35.94/36.19 (define @t263 () (or @t63 @t262)) % 35.94/36.19 (define @t264 () (forall @t8 @t263)) % 35.94/36.19 (define @t265 () (or @t212 @t12 @t264)) % 35.94/36.19 (define @t266 () (or @t12 @t264)) % 35.94/36.19 (define @t267 () (or @t12 @t263)) % 35.94/36.19 (define @t268 () (or @t12 @t63 @t262)) % 35.94/36.19 (define @t269 () (= @t192 @t246)) % 35.94/36.19 (define @t270 () (tptp.aElementOf0 @t198 tptp.xQ)) % 35.94/36.19 (define @t271 () (not @t270)) % 35.94/36.19 (define @t272 () (or @t237 @t241 @t271 @t269)) % 35.94/36.19 (assume @p1 (forall @t3 (=> @t2 true))) % 35.94/36.19 (assume @p2 (forall @t3 (=> @t4 true))) % 35.94/36.19 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 35.94/36.19 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 35.94/36.19 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 35.94/36.19 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 35.94/36.19 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 35.94/36.19 (assume @p8 (forall @t3 (=> @t13 @t12))) % 35.94/36.19 (assume @p9 (forall @t3 (=> @t13 @t14))) % 35.94/36.19 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 35.94/36.19 (assume @p11 @t25) % 35.94/36.19 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 35.94/36.19 (assume @p13 (forall @t28 (=> (and @t2 @t19) (=> (and @t27 @t20) @t26)))) % 35.94/36.19 (assume @p14 (forall @t31 (=> (and @t2 @t19 @t30) (=> (and @t27 @t29) (tptp.aSubsetOf0 @t1 @t15))))) % 35.94/36.19 (assume @p15 (forall @t28 (=> @t39 (forall @t18 (= (= @t15 @t38) (and @t30 (forall @t37 (= @t36 (and @t35 (or @t34 @t33)))))))))) % 35.94/36.19 (assume @p16 (forall @t28 (=> @t39 (forall @t18 (= (= @t15 @t40) (and @t30 (forall @t37 (= @t36 (and @t35 @t34 (not @t33)))))))))) % 35.94/36.19 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t40 @t5) @t1)))))) % 35.94/36.19 (assume @p18 (forall @t28 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t41 @t1) @t5))))) % 35.94/36.19 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t41)))))) % 35.94/36.19 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t44)))))) % 35.94/36.19 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t41)))))) % 35.94/36.19 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t44)))))) % 35.94/36.19 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 35.94/36.19 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 35.94/36.19 (assume @p25 (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t46 tptp.szNzAzT0) (not (= @t46 tptp.sz00)))))) % 35.94/36.19 (assume @p26 @t53) % 35.94/36.19 (assume @p27 (forall @t3 (=> @t47 (or @t54 (exists @t8 (and @t51 (= @t1 @t48))))))) % 35.94/36.19 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t46))))) % 35.94/36.19 (assume @p29 (forall @t28 (=> @t52 (=> @t55 true)))) % 35.94/36.19 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 35.94/36.19 (assume @p31 (forall @t3 (=> @t47 (not (tptp.sdtlseqdt0 @t46 tptp.sz00))))) % 35.94/36.19 (assume @p32 (forall @t28 (=> @t52 (= @t55 (tptp.sdtlseqdt0 @t46 @t48))))) % 35.94/36.19 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t46)))) % 35.94/36.19 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.94/36.19 (assume @p35 (forall @t28 (=> @t52 (=> (and @t55 @t56) @t26)))) % 35.94/36.19 (assume @p36 (forall @t31 (=> (and @t47 @t51 @t58) (=> (and @t55 @t57) (tptp.sdtlseqdt0 @t1 @t15))))) % 35.94/36.19 (assume @p37 (forall @t28 (=> @t52 (or @t55 (tptp.sdtlseqdt0 @t48 @t1))))) % 35.94/36.19 (assume @p38 (forall @t28 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.94/36.19 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t46)))) % 35.94/36.19 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t59)))) % 35.94/36.19 (assume @p41 @t62) % 35.94/36.19 (assume @p42 (forall @t3 (=> @t2 (= (= @t59 tptp.sz00) @t10)))) % 35.94/36.19 (assume @p43 (forall @t3 (=> @t23 (forall @t8 (=> @t6 (=> @t63 (= (tptp.sbrdtbr0 @t38) (tptp.szszuzczcdt0 @t59)))))))) % 35.94/36.19 (assume @p44 @t69) % 35.94/36.19 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t70 @t59)))))) % 35.94/36.19 (assume @p46 (forall @t28 (=> @t72 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t59)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t71 @t5))))))) % 35.94/36.19 (assume @p47 (forall @t3 (=> (and @t74 @t14) (forall @t8 (= (= @t5 @t73) (and @t7 (forall @t18 (=> @t16 @t57)))))))) % 35.94/36.19 (assume @p48 (forall @t3 (=> (and @t74 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 35.94/36.19 (assume @p49 (forall @t28 (=> (and @t74 @t76 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t73 @t5) (tptp.aElementOf0 @t75 @t1)) (= @t73 @t75))))) % 35.94/36.19 (assume @p50 (forall @t3 (=> @t47 (forall @t8 (= (= @t5 @t77) (and @t19 (forall @t18 (= @t17 (and @t58 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 35.94/36.19 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t77)))) % 35.94/36.19 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 35.94/36.19 (assume @p53 (forall @t28 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t48)) (or (tptp.aElementOf0 @t1 @t78) @t26))))) % 35.94/36.19 (assume @p54 (forall @t28 (=> @t52 (= @t55 (tptp.aSubsetOf0 @t77 @t78))))) % 35.94/36.19 (assume @p55 (forall @t3 (=> (and @t74 @t9) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t78)))))) % 35.94/36.19 (assume @p56 (forall @t3 (=> @t47 (= (tptp.sbrdtbr0 @t77) @t1)))) % 35.94/36.19 (assume @p57 (forall @t28 (=> @t72 (forall @t18 (= (= @t15 @t81) (and @t30 (forall @t37 (= @t36 (and @t80 (= @t79 @t5)))))))))) % 35.94/36.19 (assume @p58 (forall @t3 (=> @t23 (forall @t8 (=> @t51 (tptp.isFinite0 @t81)))))) % 35.94/36.19 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t51 (not (= @t81 tptp.slcrc0))))))) % 35.94/36.19 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t81)))))) % 35.94/36.19 (assume @p61 (forall @t3 (=> @t47 (forall (@list @t5 @t15) (=> (and @t19 @t30 (not @t54)) (=> (and (tptp.aSubsetOf0 @t82 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t82 tptp.slcrc0))) @t29)))))) % 35.94/36.19 (assume @p62 (forall @t28 (=> @t72 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t81) (tptp.isFinite0 @t15)) (exists @t37 (and @t80 (tptp.isFinite0 @t32) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t32 @t5))))))))) % 35.94/36.19 (assume @p63 (forall @t3 (=> @t83 true))) % 35.94/36.19 (assume @p64 (forall @t3 (=> @t83 (tptp.aSet0 @t84)))) % 35.94/36.19 (assume @p65 (forall @t3 (=> @t83 (forall @t8 (=> @t86 (tptp.aElement0 @t85)))))) % 35.94/36.19 (assume @p66 (forall @t28 (=> @t90 (forall @t18 (= (= @t15 @t89) (and @t30 (forall @t37 (= @t36 (and @t88 (= @t87 @t5)))))))))) % 35.94/36.19 (assume @p67 (forall @t28 (=> @t90 (tptp.aSubsetOf0 @t89 @t84)))) % 35.94/36.19 (assume @p68 (forall @t3 (=> @t83 (forall @t8 (=> @t95 (forall @t18 (= (= @t15 @t94) (and @t30 (forall @t37 (= @t36 (exists @t93 (and @t92 (= (tptp.sdtlpdtrp0 @t1 @t91) @t32))))))))))))) % 35.94/36.19 (assume @p69 (forall @t3 (=> @t83 (forall @t8 (=> @t86 (tptp.aElementOf0 @t85 @t96)))))) % 35.94/36.19 (assume @p70 (forall @t3 (=> @t83 (forall @t8 (=> @t95 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t99 (= @t98 @t5) (forall @t37 (=> @t97 (= (tptp.sdtlpdtrp0 @t15 @t32) @t87))))))))))) % 35.94/36.19 (assume @p71 (forall @t3 (=> @t83 (forall @t8 (=> (and @t95 @t42) (=> (forall (@list @t15 @t32) (=> (and (tptp.aElementOf0 @t15 @t84) @t88 (not (= @t15 @t32))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t87)))) (tptp.isCountable0 @t94))))))) % 35.94/36.19 (assume @p72 (forall @t3 (=> @t83 (=> (and (tptp.isCountable0 @t84) (tptp.isFinite0 @t96)) (and (tptp.aElement0 @t100) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t100))))))) % 35.94/36.19 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 35.94/36.19 (assume @p74 @t101) % 35.94/36.19 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t102 @t47)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 35.94/36.19 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t108 (and @t2 @t111 @t110 @t109)) (=> (and (or (and @t2 @t111) @t110) @t109) @t108))) (= @t103 @t107) (tptp.aSet0 @t104) (forall @t3 (= @t106 (exists @t8 (and (tptp.aElementOf0 @t5 @t103) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t106 @t105)) (tptp.aSubsetOf0 @t104 tptp.xT))) % 35.94/36.19 (assume @p77 (forall @t3 (=> @t47 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t58))) @t76) @t42) (forall @t18 (=> (and @t99 (or (forall @t37 (and (=> @t118 (and (or (and @t123 @t122) @t120) @t119)) (=> (and @t123 @t122 @t120 @t119) @t118))) (= @t98 @t82)) (=> (and (tptp.aSet0 @t116) (forall @t37 (= @t117 (exists @t93 (and (tptp.aElementOf0 @t91 @t98) (= (tptp.sdtlpdtrp0 @t15 @t91) @t32)))))) (or (forall @t37 (=> @t117 @t115)) (tptp.aSubsetOf0 @t116 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t37 (and @t115 (exists @t93 (and (tptp.aSet0 @t91) (forall @t114 (=> (tptp.aElementOf0 @t112 @t91) (tptp.aElementOf0 @t112 @t5))) (tptp.aSubsetOf0 @t91 @t5) (tptp.isCountable0 @t91) (forall @t114 (=> (or (and (or (and (tptp.aSet0 @t112) (forall (@list @t113) (=> (tptp.aElementOf0 @t113 @t112) (tptp.aElementOf0 @t113 @t91)))) (tptp.aSubsetOf0 @t112 @t91)) (= (tptp.sbrdtbr0 @t112) @t1)) (tptp.aElementOf0 @t112 (tptp.slbdtsldtrb0 @t91 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t112) @t32))))))))))))))) % 35.94/36.19 (assume @p78 (not (= tptp.xK tptp.sz00))) % 35.94/36.19 (assume @p79 (and @t125 (= @t124 tptp.xK))) % 35.94/36.19 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t140 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t47 (=> (and (or (and @t139 @t138) @t137) @t136) (and @t135 @t134 @t133 @t132 (tptp.aSet0 @t126) (forall @t8 (=> (tptp.aElementOf0 @t5 @t126) @t130)) (tptp.aSubsetOf0 @t126 @t129) (tptp.isCountable0 @t126))))))) % 35.94/36.19 (assume @p81 (forall @t3 (=> @t47 (and @t139 @t138 @t137 @t136)))) % 35.94/36.19 (assume @p82 (forall @t28 (=> @t52 (=> @t56 (and (forall @t18 (=> @t143 @t142)) (tptp.aSubsetOf0 @t127 @t141)))))) % 35.94/36.19 (assume @p83 (forall @t28 (=> (and @t47 @t51 (not @t26)) (not (=> @t146 (or (and (tptp.aElementOf0 @t128 @t141) (forall @t18 (=> @t142 @t144))) (= @t128 (tptp.szmzizndt0 @t141)))))))) % 35.94/36.19 (assume @p84 (forall @t3 (=> @t47 (forall @t8 (=> @t158 (and @t135 @t145 (tptp.aSet0 @t147) @t151 (forall @t18 (=> @t148 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t147 tptp.xS) (= (tptp.sbrdtbr0 @t147) tptp.xK) (tptp.aElementOf0 @t147 @t107))))))) % 35.94/36.19 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aFunction0 @t159) @t135 @t134 @t133 @t132 (forall @t8 (and (=> @t162 (and @t19 @t156 @t154 @t153)) (=> (and @t163 @t153) @t162))) (= @t161 @t152) (forall @t8 (=> @t158 (and @t135 @t145 @t151 (= @t160 (tptp.sdtlpdtrp0 tptp.xc @t147)))))))))) % 35.94/36.19 (assume @p86 (forall @t3 (=> @t47 (and (tptp.aSet0 @t164) (forall @t8 (= @t166 (exists @t18 (and (tptp.aElementOf0 @t15 @t161) @t167)))) (forall @t8 (=> @t166 @t165)) (tptp.aSubsetOf0 @t164 tptp.xT))))) % 35.94/36.19 (assume @p87 (forall @t3 (=> @t47 (forall @t8 (=> (and (=> @t146 (=> @t157 @t163)) @t42) (forall @t18 (=> (and @t30 (or (and (or (forall @t37 (=> @t36 @t97)) (tptp.aSubsetOf0 @t15 @t5)) @t174) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t135 @t173 @t133 @t172 @t170 @t168 (tptp.aElementOf0 @t15 @t152))))))))) % 35.94/36.19 (assume @p88 (forall @t3 (=> @t47 (exists @t8 (and @t165 (exists @t18 (and @t135 @t173 @t133 @t172 @t30 @t170 @t168 (tptp.isCountable0 @t15) (forall @t37 (=> (and @t123 (or (and (or (forall @t93 (=> @t121 (tptp.aElementOf0 @t91 @t15))) (tptp.aSubsetOf0 @t32 @t15)) (= @t79 tptp.xk)) (tptp.aElementOf0 @t32 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t159 @t32) @t5)))))))))) % 35.94/36.19 (assume @p89 (forall @t3 (=> @t47 (exists @t8 (and @t165 (forall @t18 (=> (and @t30 (or (and (or (forall @t37 (=> @t36 (tptp.aElementOf0 @t32 @t126))) (tptp.aSubsetOf0 @t15 @t126)) @t174) (tptp.aElementOf0 @t15 @t175))) @t167))))))) % 35.94/36.19 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t176 @t127) (forall @t8 (=> @t131 (tptp.sdtlseqdt0 @t176 @t5))) (= @t176 @t128)))))) % 35.94/36.19 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t178 tptp.szNzAzT0) (forall @t3 (=> @t47 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t126))) (tptp.aSubsetOf0 @t5 @t126)) @t153) (tptp.aElementOf0 @t5 @t175))) (= @t177 @t160))))))) % 35.94/36.19 (assume @p92 (and (tptp.aSet0 @t179) (forall @t3 (= @t180 (exists @t8 (and (tptp.aElementOf0 @t5 @t178) (= @t181 @t1))))) (forall @t3 (=> @t180 @t105)) (tptp.aSubsetOf0 @t179 tptp.xT))) % 35.94/36.19 (assume @p93 (and (tptp.aElementOf0 @t182 tptp.xT) @t186 @t185)) % 35.94/36.19 (assume @p94 (and @t191 @t186 @t185 (forall @t3 (= @t190 @t189)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t183)))) % 35.94/36.19 (assume @p95 (and @t191 (tptp.isCountable0 tptp.xO))) % 35.94/36.19 (assume @p96 (forall @t3 (=> (or @t189 @t190) (exists @t8 (and @t51 (= @t181 @t182) @t188 @t187))))) % 35.94/36.19 (assume @p97 (and (forall @t3 (=> @t190 @t102)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 35.94/36.19 (assume @p98 (and @t195 @t194 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= @t192 tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 35.94/36.19 (assume @p99 (and @t194 (not (or (not (exists @t3 @t193)) (= tptp.xQ tptp.slcrc0))))) % 35.94/36.19 (assume @p100 (and (forall @t3 (=> @t193 @t47)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 35.94/36.19 (assume @p101 (and @t197 @t196 @t197 @t196 (tptp.aElementOf0 tptp.xQ @t103))) % 35.94/36.19 (assume @p102 (and @t199 (forall @t3 (=> @t193 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t198))) % 35.94/36.19 (assume @p103 (and @t202 (forall @t3 (=> @t193 (tptp.sdtlseqdt0 @t198 @t1))) (forall @t3 (= @t201 (and @t4 @t193 (not (= @t1 @t198))))) (= tptp.xP @t200))) % 35.94/36.19 (assume @p104 @t199) % 35.94/36.19 (assume @p105 (exists @t3 (and @t184 (= @t176 tptp.xp)))) % 35.94/36.19 (assume @p106 (and (forall @t3 (=> @t201 @t193)) @t203)) % 35.94/36.19 (assume @p107 (and (forall @t3 (=> @t201 @t190)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 35.94/36.19 (assume @p108 @t205) % 35.94/36.19 (assume @p109 true) % 35.94/36.19 (step @p110 :rule evaluate :args ((= true false))) % 35.94/36.19 (step @p111 :rule refl :args (@t26)) % 35.94/36.19 (step @p112 :rule refl :args (@t206)) % 35.94/36.19 (step @p113 :rule and_elim :premises (@p80) :args (1)) % 35.94/36.19 (step @p114 :rule symm :premises (@p113)) % 35.94/36.19 (step @p115 :rule refl :args (@t5)) % 35.94/36.19 (step @p116 :rule cong :premises (@p115 @p114) :args (@t51)) % 35.94/36.19 (step @p117 :rule cong :premises (@p116) :args (@t207)) % 35.94/36.19 (step @p118 :rule refl :args (@t1)) % 35.94/36.19 (step @p119 :rule cong :premises (@p118 @p114) :args (@t47)) % 35.94/36.19 (step @p120 :rule cong :premises (@p119) :args (@t208)) % 35.94/36.19 (step @p121 :rule nary_cong :premises (@p120 @p117 @p112 @p111) :args (@t209)) % 35.94/36.19 (step @p122 :rule cong :premises (@p121) :args ((forall @t28 @t209))) % 35.94/36.19 (step @p123 :rule aci_norm :args ((= (or (or @t208 @t207) (or @t206 @t26)) @t209))) % 35.94/36.19 (step @p124 :rule bool-impl-elim :args (@t49 @t26)) % 35.94/36.19 (step @p125 :rule bool-and-de-morgan :args (@t47 @t51 true)) % 35.94/36.19 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t52) @t50))) % 35.94/36.19 (step @p127 :rule trans :premises (@p126 @p123)) % 35.94/36.19 (step @p128 :rule bool-impl-elim :args (@t52 @t50)) % 35.94/36.19 (step @p129 :rule trans :premises (@p128 @p127)) % 35.94/36.19 (step @p130 :rule cong :premises (@p129) :args (@t53)) % 35.94/36.19 (step @p131 :rule trans :premises (@p130 @p122)) % 35.94/36.19 (step @p132 :rule eq_resolve :premises (@p26 @p131)) % 35.94/36.19 (step @p133 :rule instantiate :premises (@p132) :args ((@list tptp.xk @t210))) % 35.94/36.19 (step @p134 :rule refl :args (@t59)) % 35.94/36.19 (step @p135 :rule cong :premises (@p134 @p114) :args (@t60)) % 35.94/36.19 (step @p136 :rule refl :args (@t9)) % 35.94/36.19 (step @p137 :rule cong :premises (@p136 @p135) :args (@t211)) % 35.94/36.19 (step @p138 :rule refl :args (@t212)) % 35.94/36.19 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t213)) % 35.94/36.19 (step @p140 :rule cong :premises (@p139) :args ((forall @t3 @t213))) % 35.94/36.19 (step @p141 :rule bool-impl-elim :args (@t2 @t211)) % 35.94/36.19 (step @p142 :rule cong :premises (@p141) :args ((forall @t3 (=> @t2 @t211)))) % 35.94/36.19 (step @p143 :rule eq-symm :args (@t60 @t9)) % 35.94/36.19 (step @p144 :rule refl :args (@t2)) % 35.94/36.19 (step @p145 :rule cong :premises (@p144 @p143) :args (@t61)) % 35.94/36.19 (step @p146 :rule cong :premises (@p145) :args (@t62)) % 35.94/36.19 (step @p147 :rule trans :premises (@p146 @p142)) % 35.94/36.19 (step @p148 :rule trans :premises (@p147 @p140)) % 35.94/36.19 (step @p149 :rule eq_resolve :premises (@p41 @p148)) % 35.94/36.19 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t200))) % 35.94/36.19 (step @p151 :rule and_elim :premises (@p103) :args (3)) % 35.94/36.19 (step @p152 :rule cong :premises (@p151) :args (@t202)) % 35.94/36.19 (step @p153 :rule and_elim :premises (@p103) :args (0)) % 35.94/36.19 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 35.94/36.19 (step @p155 :rule cnf_or_pos :args (@t219)) % 35.94/36.19 (step @p156 :rule reordering :premises (@p155) :args ((or @t218 @t216 (not @t219)))) % 35.94/36.19 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p150) :args (@t216 @t220 (@list @t217 @t219))) % 35.94/36.19 (step @p158 :rule aci_norm :args ((= @t225 (or @t212 @t12 @t223 @t222)))) % 35.94/36.19 (step @p159 :rule cong :premises (@p158) :args (@t226)) % 35.94/36.19 (step @p160 :rule quant-merge-prenex :args ((= (forall @t3 @t228) @t226))) % 35.94/36.19 (step @p161 :rule alpha_equiv :args (@t229 (@list @t221) @t230)) % 35.94/36.19 (step @p162 :rule refl :args (@t12)) % 35.94/36.19 (step @p163 :rule refl :args (@t212)) % 35.94/36.19 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t231)) % 35.94/36.19 (step @p165 :rule quant-miniscope-or :args ((= @t228 @t231))) % 35.94/36.19 (step @p166 :rule trans :premises (@p165 @p164)) % 35.94/36.19 (step @p167 :rule symm :premises (@p166)) % 35.94/36.19 (step @p168 :rule cong :premises (@p167) :args ((forall @t3 @t233))) % 35.94/36.19 (step @p169 :rule trans :premises (@p168 @p160)) % 35.94/36.19 (step @p170 :rule trans :premises (@p169 @p159)) % 35.94/36.19 (step @p171 :rule aci_norm :args ((= (or (or @t212 @t12) @t232) @t233))) % 35.94/36.19 (step @p172 :rule refl :args (@t232)) % 35.94/36.19 (step @p173 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 35.94/36.19 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t23) @t232))) % 35.94/36.19 (step @p175 :rule trans :premises (@p174 @p171)) % 35.94/36.19 (step @p176 :rule bool-impl-elim :args (@t23 @t232)) % 35.94/36.19 (step @p177 :rule trans :premises (@p176 @p175)) % 35.94/36.19 (step @p178 :rule cong :premises (@p177) :args ((forall @t3 (=> @t23 @t232)))) % 35.94/36.19 (step @p179 :rule trans :premises (@p178 @p170)) % 35.94/36.19 (step @p180 :rule bool-impl-elim :args (@t20 @t21)) % 35.94/36.19 (step @p181 :rule cong :premises (@p180) :args (@t22)) % 35.94/36.19 (step @p182 :rule refl :args (@t23)) % 35.94/36.19 (step @p183 :rule cong :premises (@p182 @p181) :args (@t24)) % 35.94/36.19 (step @p184 :rule cong :premises (@p183) :args (@t25)) % 35.94/36.19 (step @p185 :rule trans :premises (@p184 @p179)) % 35.94/36.19 (step @p186 :rule eq_resolve :premises (@p11 @p185)) % 35.94/36.19 (step @p187 :rule instantiate :premises (@p186) :args ((@list tptp.xQ @t200))) % 35.94/36.19 (step @p188 :rule instantiate :premises (@p149) :args ((@list tptp.xQ))) % 35.94/36.19 (step @p189 :rule and_elim :premises (@p98) :args (0)) % 35.94/36.19 (step @p190 :rule cnf_or_pos :args (@t238)) % 35.94/36.19 (step @p191 :rule reordering :premises (@p190) :args ((or @t237 @t236 (not @t238)))) % 35.94/36.19 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188) :args (@t236 @t220 (@list @t195 @t238))) % 35.94/36.19 (step @p193 :rule and_elim :premises (@p79) :args (1)) % 35.94/36.19 (step @p194 :rule symm :premises (@p193)) % 35.94/36.19 (step @p195 :rule cong :premises (@p194 @p114) :args (@t101)) % 35.94/36.19 (step @p196 :rule eq_resolve :premises (@p74 @p195)) % 35.94/36.19 (step @p197 :rule true_intro :premises (@p196)) % 35.94/36.19 (step @p198 :rule refl :args (@t178)) % 35.94/36.19 (step @p199 :rule cong :premises (@p114 @p198) :args ((= tptp.szNzAzT0 @t178))) % 35.94/36.19 (step @p200 :rule eq-symm :args (@t178 tptp.szNzAzT0)) % 35.94/36.19 (step @p201 :rule trans :premises (@p200 @p199)) % 35.94/36.19 (step @p202 :rule and_elim :premises (@p91) :args (1)) % 35.94/36.19 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 35.94/36.19 (step @p204 :rule symm :premises (@p203)) % 35.94/36.19 (step @p205 :rule refl :args (@t124)) % 35.94/36.19 (step @p206 :rule cong :premises (@p205 @p204) :args ((tptp.aElementOf0 @t124 @t178))) % 35.94/36.19 (step @p207 :rule refl :args (@t192)) % 35.94/36.19 (step @p208 :rule cong :premises (@p194 @p207) :args ((= tptp.xK @t192))) % 35.94/36.19 (step @p209 :rule eq-symm :args (@t192 tptp.xK)) % 35.94/36.19 (step @p210 :rule trans :premises (@p209 @p208)) % 35.94/36.19 (step @p211 :rule and_elim :premises (@p98) :args (3)) % 35.94/36.19 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 35.94/36.19 (step @p213 :rule symm :premises (@p212)) % 35.94/36.19 (step @p214 :rule cong :premises (@p213 @p203) :args (@t234)) % 35.94/36.19 (step @p215 :rule trans :premises (@p214 @p206 @p197)) % 35.94/36.19 (step @p216 :rule true_elim :premises (@p215)) % 35.94/36.19 (step @p217 :rule cnf_equiv_pos2 :args (@t236)) % 35.94/36.19 (step @p218 :rule reordering :premises (@p217) :args ((or @t235 (not @t234) (not @t236)))) % 35.94/36.19 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p192) :args (@t235 @t220 (@list @t234 @t236))) % 35.94/36.19 (step @p220 :rule refl :args (tptp.xQ)) % 35.94/36.19 (step @p221 :rule cong :premises (@p151 @p220) :args (@t203)) % 35.94/36.19 (step @p222 :rule and_elim :premises (@p106) :args (1)) % 35.94/36.19 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 35.94/36.19 (step @p224 :rule cnf_or_pos :args (@t242)) % 35.94/36.19 (step @p225 :rule reordering :premises (@p224) :args ((or @t237 @t240 @t241 @t215 (not @t242)))) % 35.94/36.19 (step @p226 :rule chain_m_resolution :premises (@p225 @p189 @p223 @p219 @p187) :args (@t215 @t243 (@list @t195 @t239 @t235 @t242))) % 35.94/36.19 (step @p227 :rule cnf_equiv_pos1 :args (@t216)) % 35.94/36.19 (step @p228 :rule reordering :premises (@p227) :args ((or (not @t215) @t214 (not @t216)))) % 35.94/36.19 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p157) :args (@t214 @t220 (@list @t215 @t216))) % 35.94/36.19 (step @p230 :rule refl :args (tptp.xk)) % 35.94/36.19 (step @p231 :rule cong :premises (@p230 @p114) :args (@t125)) % 35.94/36.19 (step @p232 :rule and_elim :premises (@p79) :args (0)) % 35.94/36.19 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 35.94/36.19 (step @p234 :rule cong :premises (@p151) :args (@t204)) % 35.94/36.19 (step @p235 :rule cong :premises (@p230 @p234) :args (@t244)) % 35.94/36.19 (step @p236 :rule cong :premises (@p235) :args ((not @t244))) % 35.94/36.19 (step @p237 :rule eq-symm :args (@t204 tptp.xk)) % 35.94/36.19 (step @p238 :rule cong :premises (@p237) :args (@t205)) % 35.94/36.19 (step @p239 :rule trans :premises (@p238 @p236)) % 35.94/36.19 (step @p240 :rule eq_resolve :premises (@p108 @p239)) % 35.94/36.19 (step @p241 :rule cnf_or_pos :args (@t251)) % 35.94/36.19 (step @p242 :rule reordering :premises (@p241) :args ((or @t245 @t250 @t248 @t247 (not @t251)))) % 35.94/36.19 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p233 @p229 @p133) :args (@t247 (@list true false false false) (@list @t245 @t249 @t214 @t251))) % 35.94/36.19 (step @p244 :rule false_intro :premises (@p243)) % 35.94/36.19 (step @p245 :rule aci_norm :args ((= @t256 (or @t212 @t12 @t254 @t253)))) % 35.94/36.19 (step @p246 :rule cong :premises (@p245) :args (@t257)) % 35.94/36.19 (step @p247 :rule quant-merge-prenex :args ((= (forall @t3 @t259) @t257))) % 35.94/36.19 (step @p248 :rule alpha_equiv :args (@t260 (@list @t252) @t230)) % 35.94/36.19 (step @p249 :rule nary_cong :premises (@p163 @p162 @p248) :args (@t261)) % 35.94/36.19 (step @p250 :rule quant-miniscope-or :args ((= @t259 @t261))) % 35.94/36.19 (step @p251 :rule trans :premises (@p250 @p249)) % 35.94/36.19 (step @p252 :rule symm :premises (@p251)) % 35.94/36.19 (step @p253 :rule cong :premises (@p252) :args ((forall @t3 @t265))) % 35.94/36.19 (step @p254 :rule trans :premises (@p253 @p247)) % 35.94/36.19 (step @p255 :rule trans :premises (@p254 @p246)) % 35.94/36.19 (step @p256 :rule aci_norm :args ((= (or @t212 @t266) @t265))) % 35.94/36.19 (step @p257 :rule bool-impl-elim :args (@t2 @t266)) % 35.94/36.19 (step @p258 :rule trans :premises (@p257 @p256)) % 35.94/36.19 (step @p259 :rule cong :premises (@p258) :args ((forall @t3 (=> @t2 @t266)))) % 35.94/36.19 (step @p260 :rule trans :premises (@p259 @p255)) % 35.94/36.19 (step @p261 :rule quant-miniscope-or :args ((= (forall @t8 @t267) @t266))) % 35.94/36.19 (step @p262 :rule aci_norm :args ((= @t268 @t267))) % 35.94/36.19 (step @p263 :rule cong :premises (@p262) :args ((forall @t8 @t268))) % 35.94/36.19 (step @p264 :rule trans :premises (@p263 @p261)) % 35.94/36.19 (step @p265 :rule aci_norm :args ((= (or (or @t12 @t63) @t262) @t268))) % 35.94/36.19 (step @p266 :rule refl :args (@t262)) % 35.94/36.19 (step @p267 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 35.94/36.19 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or (not @t65) @t262))) % 35.94/36.19 (step @p269 :rule trans :premises (@p268 @p265)) % 35.94/36.19 (step @p270 :rule bool-impl-elim :args (@t65 @t262)) % 35.94/36.19 (step @p271 :rule trans :premises (@p270 @p269)) % 35.94/36.19 (step @p272 :rule cong :premises (@p271) :args ((forall @t8 (=> @t65 @t262)))) % 35.94/36.19 (step @p273 :rule trans :premises (@p272 @p264)) % 35.94/36.19 (step @p274 :rule eq-symm :args (@t64 @t59)) % 35.94/36.19 (step @p275 :rule refl :args (@t65)) % 35.94/36.19 (step @p276 :rule cong :premises (@p275 @p274) :args (@t66)) % 35.94/36.19 (step @p277 :rule cong :premises (@p276) :args (@t67)) % 35.94/36.19 (step @p278 :rule trans :premises (@p277 @p273)) % 35.94/36.19 (step @p279 :rule cong :premises (@p144 @p278) :args (@t68)) % 35.94/36.19 (step @p280 :rule cong :premises (@p279) :args (@t69)) % 35.94/36.19 (step @p281 :rule trans :premises (@p280 @p260)) % 35.94/36.20 (step @p282 :rule eq_resolve :premises (@p44 @p281)) % 35.94/36.20 (step @p283 :rule instantiate :premises (@p282) :args ((@list tptp.xQ @t198))) % 35.94/36.20 (step @p284 :rule and_elim :premises (@p102) :args (2)) % 35.94/36.20 (step @p285 :rule cong :premises (@p284 @p220) :args (@t199)) % 35.94/36.20 (step @p286 :rule and_elim :premises (@p102) :args (0)) % 35.94/36.20 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 35.94/36.20 (step @p288 :rule cnf_or_pos :args (@t272)) % 35.94/36.20 (step @p289 :rule reordering :premises (@p288) :args ((or @t237 @t271 @t241 @t269 (not @t272)))) % 35.94/36.20 (step @p290 :rule chain_m_resolution :premises (@p289 @p189 @p287 @p219 @p283) :args (@t269 @t243 (@list @t195 @t270 @t235 @t272))) % 35.94/36.20 (step @p291 :rule trans :premises (@p212 @p290)) % 35.94/36.20 (step @p292 :rule true_intro :premises (@p291)) % 35.94/36.20 (step @p293 :rule symm :premises (@p292)) % 35.94/36.20 (step @p294 :rule trans :premises (@p293 @p244)) % 35.94/36.20 (step @p295 false :rule eq_resolve :premises (@p294 @p110)) % 35.94/36.20 ) % 35.94/36.20 % SZS output end Proof % 35.94/36.20 % cvc5 exiting %------------------------------------------------------------------------------