%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM622+1 : 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 : n010.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 08:40:02 AM UTC 2026 % Result : Theorem 40.24s 40.45s % Output : Proof 40.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM622+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:37:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 40.24/40.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 40.24/40.45 --- Run --no-e-matching --full-saturate-quant at 6... % 40.24/40.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 40.24/40.45 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 40.24/40.45 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 40.24/40.45 % SZS status Theorem % 40.24/40.45 % SZS output start Proof % 40.24/40.45 ( % 40.24/40.45 (declare-sort $$unsorted 0) % 40.24/40.45 (declare-const tptp.xx $$unsorted) % 40.24/40.45 (declare-const tptp.xn $$unsorted) % 40.24/40.45 (declare-const tptp.xp $$unsorted) % 40.24/40.45 (declare-const tptp.xQ $$unsorted) % 40.24/40.45 (declare-const tptp.xe $$unsorted) % 40.24/40.45 (declare-const tptp.xP $$unsorted) % 40.24/40.45 (declare-const tptp.xC $$unsorted) % 40.24/40.45 (declare-const tptp.xN $$unsorted) % 40.24/40.45 (declare-const tptp.sz00 $$unsorted) % 40.24/40.45 (declare-const tptp.xc $$unsorted) % 40.24/40.45 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.szNzAzT0 $$unsorted) % 40.24/40.45 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.xd $$unsorted) % 40.24/40.45 (declare-const tptp.xk $$unsorted) % 40.24/40.45 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 40.24/40.45 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.xm $$unsorted) % 40.24/40.45 (declare-const tptp.xK $$unsorted) % 40.24/40.45 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.xT $$unsorted) % 40.24/40.45 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.xO $$unsorted) % 40.24/40.45 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.xS $$unsorted) % 40.24/40.45 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.slcrc0 $$unsorted) % 40.24/40.45 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 40.24/40.45 (define @t1 () (@var "W0" $$unsorted)) % 40.24/40.45 (define @t2 () (tptp.aSet0 @t1)) % 40.24/40.45 (define @t3 () (@list @t1)) % 40.24/40.45 (define @t4 () (tptp.aElement0 @t1)) % 40.24/40.45 (define @t5 () (@var "W1" $$unsorted)) % 40.24/40.45 (define @t6 () (tptp.aElement0 @t5)) % 40.24/40.45 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 40.24/40.45 (define @t8 () (@list @t5)) % 40.24/40.45 (define @t9 () (tptp.isFinite0 @t1)) % 40.24/40.45 (define @t10 () (exists @t8 @t7)) % 40.24/40.45 (define @t11 () (not @t10)) % 40.24/40.45 (define @t12 () (and @t2 @t11)) % 40.24/40.45 (define @t13 () (= @t1 tptp.slcrc0)) % 40.24/40.45 (define @t14 () (= @t13 @t12)) % 40.24/40.45 (define @t15 () (forall @t3 @t14)) % 40.24/40.45 (define @t16 () (tptp.isCountable0 @t1)) % 40.24/40.45 (define @t17 () (not @t9)) % 40.24/40.45 (define @t18 () (and @t2 @t16)) % 40.24/40.45 (define @t19 () (not @t13)) % 40.24/40.45 (define @t20 () (forall @t3 (=> @t18 @t19))) % 40.24/40.45 (define @t21 () (@var "W2" $$unsorted)) % 40.24/40.45 (define @t22 () (tptp.aElementOf0 @t21 @t1)) % 40.24/40.45 (define @t23 () (tptp.aElementOf0 @t21 @t5)) % 40.24/40.45 (define @t24 () (@list @t21)) % 40.24/40.45 (define @t25 () (forall @t24 (=> @t23 @t22))) % 40.24/40.45 (define @t26 () (tptp.aSet0 @t5)) % 40.24/40.45 (define @t27 () (and @t26 @t25)) % 40.24/40.45 (define @t28 () (tptp.aSubsetOf0 @t5 @t1)) % 40.24/40.45 (define @t29 () (= @t28 @t27)) % 40.24/40.45 (define @t30 () (forall @t8 @t29)) % 40.24/40.45 (define @t31 () (=> @t2 @t30)) % 40.24/40.45 (define @t32 () (forall @t3 @t31)) % 40.24/40.45 (define @t33 () (tptp.isFinite0 @t5)) % 40.24/40.45 (define @t34 () (and @t2 @t9)) % 40.24/40.45 (define @t35 () (tptp.aSubsetOf0 @t1 @t1)) % 40.24/40.45 (define @t36 () (forall @t3 (=> @t2 @t35))) % 40.24/40.45 (define @t37 () (= @t1 @t5)) % 40.24/40.45 (define @t38 () (tptp.aSubsetOf0 @t1 @t5)) % 40.24/40.45 (define @t39 () (and @t38 @t28)) % 40.24/40.45 (define @t40 () (=> @t39 @t37)) % 40.24/40.45 (define @t41 () (and @t2 @t26)) % 40.24/40.45 (define @t42 () (@list @t1 @t5)) % 40.24/40.45 (define @t43 () (forall @t42 (=> @t41 @t40))) % 40.24/40.45 (define @t44 () (tptp.aSubsetOf0 @t5 @t21)) % 40.24/40.45 (define @t45 () (tptp.aSet0 @t21)) % 40.24/40.45 (define @t46 () (@list @t1 @t5 @t21)) % 40.24/40.45 (define @t47 () (@var "W3" $$unsorted)) % 40.24/40.45 (define @t48 () (= @t47 @t5)) % 40.24/40.45 (define @t49 () (tptp.aElementOf0 @t47 @t1)) % 40.24/40.45 (define @t50 () (tptp.aElement0 @t47)) % 40.24/40.45 (define @t51 () (tptp.aElementOf0 @t47 @t21)) % 40.24/40.45 (define @t52 () (@list @t47)) % 40.24/40.45 (define @t53 () (tptp.sdtpldt0 @t1 @t5)) % 40.24/40.45 (define @t54 () (and @t2 @t6)) % 40.24/40.45 (define @t55 () (tptp.sdtmndt0 @t1 @t5)) % 40.24/40.45 (define @t56 () (tptp.sdtpldt0 @t5 @t1)) % 40.24/40.45 (define @t57 () (tptp.isCountable0 @t5)) % 40.24/40.45 (define @t58 () (and @t26 @t57)) % 40.24/40.45 (define @t59 () (tptp.sdtmndt0 @t5 @t1)) % 40.24/40.45 (define @t60 () (and @t26 @t33)) % 40.24/40.45 (define @t61 () (tptp.aSet0 tptp.szNzAzT0)) % 40.24/40.45 (define @t62 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 40.24/40.45 (define @t63 () (tptp.szszuzczcdt0 @t1)) % 40.24/40.45 (define @t64 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 40.24/40.45 (define @t65 () (tptp.szszuzczcdt0 @t5)) % 40.24/40.45 (define @t66 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 40.24/40.45 (define @t67 () (and @t64 @t66)) % 40.24/40.45 (define @t68 () (= @t1 @t65)) % 40.24/40.45 (define @t69 () (and @t66 @t68)) % 40.24/40.45 (define @t70 () (exists @t8 @t69)) % 40.24/40.45 (define @t71 () (= @t1 tptp.sz00)) % 40.24/40.45 (define @t72 () (or @t71 @t70)) % 40.24/40.45 (define @t73 () (=> @t64 @t72)) % 40.24/40.45 (define @t74 () (forall @t3 @t73)) % 40.24/40.45 (define @t75 () (tptp.sdtlseqdt0 @t1 @t5)) % 40.24/40.45 (define @t76 () (tptp.sdtlseqdt0 tptp.sz00 @t1)) % 40.24/40.45 (define @t77 () (forall @t3 (=> @t64 @t76))) % 40.24/40.45 (define @t78 () (not (tptp.sdtlseqdt0 @t63 tptp.sz00))) % 40.24/40.45 (define @t79 () (forall @t3 (=> @t64 @t78))) % 40.24/40.45 (define @t80 () (tptp.sdtlseqdt0 @t5 @t1)) % 40.24/40.45 (define @t81 () (tptp.sdtlseqdt0 @t5 @t21)) % 40.24/40.45 (define @t82 () (tptp.aElementOf0 @t21 tptp.szNzAzT0)) % 40.24/40.45 (define @t83 () (tptp.sbrdtbr0 @t1)) % 40.24/40.45 (define @t84 () (= @t83 tptp.sz00)) % 40.24/40.45 (define @t85 () (=> @t2 (= @t84 @t13))) % 40.24/40.45 (define @t86 () (forall @t3 @t85)) % 40.24/40.45 (define @t87 () (not @t7)) % 40.24/40.45 (define @t88 () (and @t2 @t66)) % 40.24/40.45 (define @t89 () (forall @t24 (=> @t22 @t81))) % 40.24/40.45 (define @t90 () (and @t7 @t89)) % 40.24/40.45 (define @t91 () (tptp.szmzizndt0 @t1)) % 40.24/40.45 (define @t92 () (= @t5 @t91)) % 40.24/40.45 (define @t93 () (= @t92 @t90)) % 40.24/40.45 (define @t94 () (forall @t8 @t93)) % 40.24/40.45 (define @t95 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 40.24/40.45 (define @t96 () (and @t95 @t19)) % 40.24/40.45 (define @t97 () (=> @t96 @t94)) % 40.24/40.45 (define @t98 () (forall @t3 @t97)) % 40.24/40.45 (define @t99 () (tptp.szmzizndt0 @t5)) % 40.24/40.45 (define @t100 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 40.24/40.45 (define @t101 () (tptp.szszuzczcdt0 @t21)) % 40.24/40.45 (define @t102 () (tptp.sdtlseqdt0 @t101 @t1)) % 40.24/40.45 (define @t103 () (and @t82 @t102)) % 40.24/40.45 (define @t104 () (tptp.slbdtrb0 @t1)) % 40.24/40.45 (define @t105 () (forall @t8 (= (= @t5 @t104) (and @t26 (forall @t24 (= @t23 @t103)))))) % 40.24/40.45 (define @t106 () (forall @t3 (=> @t64 @t105))) % 40.24/40.45 (define @t107 () (tptp.slbdtrb0 tptp.sz00)) % 40.24/40.45 (define @t108 () (tptp.slbdtrb0 @t5)) % 40.24/40.45 (define @t109 () (tptp.aSubsetOf0 @t47 @t1)) % 40.24/40.45 (define @t110 () (tptp.slbdtsldtrb0 @t1 @t5)) % 40.24/40.45 (define @t111 () (tptp.slbdtsldtrb0 @t5 @t1)) % 40.24/40.45 (define @t112 () (tptp.aFunction0 @t1)) % 40.24/40.45 (define @t113 () (tptp.szDzozmdt0 @t1)) % 40.24/40.45 (define @t114 () (tptp.sdtlpdtrp0 @t1 @t5)) % 40.24/40.45 (define @t115 () (tptp.aElementOf0 @t5 @t113)) % 40.24/40.45 (define @t116 () (tptp.sdtlpdtrp0 @t1 @t47)) % 40.24/40.45 (define @t117 () (tptp.aElementOf0 @t47 @t113)) % 40.24/40.45 (define @t118 () (tptp.sdtlbdtrb0 @t1 @t5)) % 40.24/40.45 (define @t119 () (and @t112 @t6)) % 40.24/40.45 (define @t120 () (@var "W4" $$unsorted)) % 40.24/40.45 (define @t121 () (@list @t120)) % 40.24/40.45 (define @t122 () (tptp.sdtlcdtrc0 @t1 @t5)) % 40.24/40.45 (define @t123 () (tptp.aSubsetOf0 @t5 @t113)) % 40.24/40.45 (define @t124 () (tptp.sdtlcdtrc0 @t1 @t113)) % 40.24/40.45 (define @t125 () (tptp.szDzozmdt0 @t21)) % 40.24/40.45 (define @t126 () (tptp.aFunction0 @t21)) % 40.24/40.45 (define @t127 () (tptp.szDzizrdt0 @t1)) % 40.24/40.45 (define @t128 () (tptp.szDzozmdt0 tptp.xc)) % 40.24/40.45 (define @t129 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 40.24/40.45 (define @t130 () (@var "W5" $$unsorted)) % 40.24/40.45 (define @t131 () (tptp.sdtlpdtrp0 tptp.xN @t63)) % 40.24/40.45 (define @t132 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 40.24/40.45 (define @t133 () (tptp.szmzizndt0 @t132)) % 40.24/40.45 (define @t134 () (tptp.sdtmndt0 @t132 @t133)) % 40.24/40.45 (define @t135 () (tptp.isCountable0 @t132)) % 40.24/40.45 (define @t136 () (tptp.aSubsetOf0 @t132 tptp.szNzAzT0)) % 40.24/40.45 (define @t137 () (and @t136 @t135)) % 40.24/40.45 (define @t138 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 40.24/40.45 (define @t139 () (tptp.szDzozmdt0 tptp.xN)) % 40.24/40.45 (define @t140 () (forall @t3 (=> @t64 @t137))) % 40.24/40.45 (define @t141 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 40.24/40.45 (define @t142 () (tptp.aSubsetOf0 @t132 @t141)) % 40.24/40.45 (define @t143 () (=> @t80 @t142)) % 40.24/40.45 (define @t144 () (forall @t42 (=> @t67 @t143))) % 40.24/40.45 (define @t145 () (tptp.sdtpldt0 @t5 @t133)) % 40.24/40.45 (define @t146 () (tptp.slbdtsldtrb0 @t134 tptp.xk)) % 40.24/40.45 (define @t147 () (and @t26 (tptp.aElementOf0 @t5 @t146))) % 40.24/40.45 (define @t148 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 40.24/40.45 (define @t149 () (tptp.sdtlpdtrp0 @t148 @t5)) % 40.24/40.45 (define @t150 () (tptp.szDzozmdt0 @t148)) % 40.24/40.45 (define @t151 () (tptp.aElementOf0 @t5 tptp.xT)) % 40.24/40.45 (define @t152 () (tptp.slbdtsldtrb0 @t131 tptp.xk)) % 40.24/40.45 (define @t153 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 40.24/40.45 (define @t154 () (=> @t64 (= @t153 @t133))) % 40.24/40.45 (define @t155 () (forall @t3 @t154)) % 40.24/40.45 (define @t156 () (tptp.szDzozmdt0 tptp.xd)) % 40.24/40.45 (define @t157 () (tptp.szDzizrdt0 tptp.xd)) % 40.24/40.45 (define @t158 () (tptp.sdtlbdtrb0 tptp.xd @t157)) % 40.24/40.45 (define @t159 () (tptp.aSet0 tptp.xO)) % 40.24/40.45 (define @t160 () (tptp.szmzizndt0 tptp.xQ)) % 40.24/40.45 (define @t161 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn)) % 40.24/40.45 (define @t162 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 40.24/40.45 (define @t163 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 40.24/40.45 (define @t164 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 40.24/40.46 (define @t165 () (tptp.szmzizndt0 @t164)) % 40.24/40.46 (define @t166 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 40.24/40.46 (define @t167 () (tptp.aSubsetOf0 @t166 @t164)) % 40.24/40.46 (define @t168 () (tptp.aElementOf0 tptp.xp @t164)) % 40.24/40.46 (define @t169 () (not @t168)) % 40.24/40.46 (define @t170 () (= @t1 @t107)) % 40.24/40.46 (define @t171 () (forall @t8 @t87)) % 40.24/40.46 (define @t172 () (and @t2 @t171)) % 40.24/40.46 (define @t173 () (= @t13 @t172)) % 40.24/40.46 (define @t174 () (tptp.aSet0 @t107)) % 40.24/40.46 (define @t175 () (and @t174 (forall @t8 (not (tptp.aElementOf0 @t5 @t107))))) % 40.24/40.46 (define @t176 () (= @t107 @t107)) % 40.24/40.46 (define @t177 () (forall @t3 (= @t172 @t170))) % 40.24/40.46 (define @t178 () (= @t175 @t176)) % 40.24/40.46 (define @t179 () (@list @t107)) % 40.24/40.46 (define @t180 () (@list false)) % 40.24/40.46 (define @t181 () (tptp.isCountable0 tptp.slcrc0)) % 40.24/40.46 (define @t182 () (not @t181)) % 40.24/40.46 (define @t183 () (tptp.aSet0 tptp.slcrc0)) % 40.24/40.46 (define @t184 () (not @t183)) % 40.24/40.46 (define @t185 () (or @t184 @t182)) % 40.24/40.46 (define @t186 () (not (= tptp.slcrc0 tptp.slcrc0))) % 40.24/40.46 (define @t187 () (or @t184 @t182 @t186)) % 40.24/40.46 (define @t188 () (not @t16)) % 40.24/40.46 (define @t189 () (not @t2)) % 40.24/40.46 (define @t190 () (or @t19 @t189 @t188 @t19)) % 40.24/40.46 (define @t191 () (or @t189 @t188 @t19)) % 40.24/40.46 (define @t192 () (not @t174)) % 40.24/40.46 (define @t193 () (tptp.isCountable0 @t107)) % 40.24/40.46 (define @t194 () (not @t193)) % 40.24/40.46 (define @t195 () (not @t64)) % 40.24/40.46 (define @t196 () (or @t195 @t137)) % 40.24/40.46 (define @t197 () (@list tptp.xn)) % 40.24/40.46 (define @t198 () (tptp.isCountable0 @t166)) % 40.24/40.46 (define @t199 () (tptp.aSubsetOf0 @t166 @t139)) % 40.24/40.46 (define @t200 () (and @t199 @t198)) % 40.24/40.46 (define @t201 () (tptp.aElementOf0 tptp.xn @t139)) % 40.24/40.46 (define @t202 () (not @t201)) % 40.24/40.46 (define @t203 () (or @t202 @t200)) % 40.24/40.46 (define @t204 () (@list false false)) % 40.24/40.46 (define @t205 () (not @t200)) % 40.24/40.46 (define @t206 () (@list @t200)) % 40.24/40.46 (define @t207 () (not @t68)) % 40.24/40.46 (define @t208 () (not @t66)) % 40.24/40.46 (define @t209 () (or @t208 @t207)) % 40.24/40.46 (define @t210 () (forall @t8 @t209)) % 40.24/40.46 (define @t211 () (not @t210)) % 40.24/40.46 (define @t212 () (or @t195 @t71 @t211)) % 40.24/40.46 (define @t213 () (or @t71 @t211)) % 40.24/40.46 (define @t214 () (forall @t8 (not @t69))) % 40.24/40.46 (define @t215 () (not @t214)) % 40.24/40.46 (define @t216 () (not (= tptp.xn @t65))) % 40.24/40.46 (define @t217 () (not (tptp.aElementOf0 @t5 @t139))) % 40.24/40.46 (define @t218 () (or @t217 @t216)) % 40.24/40.46 (define @t219 () (forall @t8 @t218)) % 40.24/40.46 (define @t220 () (not @t219)) % 40.24/40.46 (define @t221 () (or @t202 (= tptp.xn tptp.sz00) @t220)) % 40.24/40.46 (define @t222 () (not (tptp.aElementOf0 @t1 @t139))) % 40.24/40.46 (define @t223 () (forall @t3 (or @t222 @t71 (not (forall @t8 (or @t217 @t207)))))) % 40.24/40.46 (define @t224 () (forall @t8 (or @t217 (not (= @t65 tptp.xn))))) % 40.24/40.46 (define @t225 () (not @t224)) % 40.24/40.46 (define @t226 () (= tptp.sz00 tptp.xn)) % 40.24/40.46 (define @t227 () (or @t202 @t226 @t225)) % 40.24/40.46 (define @t228 () (= tptp.sz00 @t83)) % 40.24/40.46 (define @t229 () (or @t189 (= @t170 @t228))) % 40.24/40.46 (define @t230 () (= @t13 @t228)) % 40.24/40.46 (define @t231 () (or @t189 @t230)) % 40.24/40.46 (define @t232 () (= tptp.sz00 (tptp.sbrdtbr0 @t107))) % 40.24/40.46 (define @t233 () (or @t192 (= @t232 @t176))) % 40.24/40.46 (define @t234 () (forall @t3 (or @t189 (= @t228 @t170)))) % 40.24/40.46 (define @t235 () (or @t192 @t232)) % 40.24/40.46 (define @t236 () (@var "BOUND_VARIABLE_8720" $$unsorted)) % 40.24/40.46 (define @t237 () (= @t91 @t236)) % 40.24/40.46 (define @t238 () (not @t22)) % 40.24/40.46 (define @t239 () (and (tptp.aElementOf0 @t236 @t1) (forall @t24 (or @t238 (tptp.sdtlseqdt0 @t236 @t21))))) % 40.24/40.46 (define @t240 () (= @t239 @t237)) % 40.24/40.46 (define @t241 () (not @t95)) % 40.24/40.46 (define @t242 () (or @t241 @t13 @t240)) % 40.24/40.46 (define @t243 () (@list @t1 @t236)) % 40.24/40.46 (define @t244 () (= (= @t236 @t91) @t239)) % 40.24/40.46 (define @t245 () (or @t241 @t13 @t244)) % 40.24/40.46 (define @t246 () (forall @t243 @t245)) % 40.24/40.46 (define @t247 () (@list @t236)) % 40.24/40.46 (define @t248 () (forall @t247 @t245)) % 40.24/40.46 (define @t249 () (forall @t247 @t244)) % 40.24/40.46 (define @t250 () (@list @t5)) % 40.24/40.46 (define @t251 () (or @t241 @t13 @t249)) % 40.24/40.46 (define @t252 () (forall @t8 (= @t92 (and @t7 (forall @t24 (or @t238 @t81)))))) % 40.24/40.46 (define @t253 () (or @t241 @t13 @t252)) % 40.24/40.46 (define @t254 () (tptp.szmzizndt0 @t139)) % 40.24/40.46 (define @t255 () (tptp.aElementOf0 @t21 @t139)) % 40.24/40.46 (define @t256 () (forall @t24 (or (not @t255) (tptp.sdtlseqdt0 tptp.sz00 @t21)))) % 40.24/40.46 (define @t257 () (tptp.aElementOf0 tptp.sz00 @t139)) % 40.24/40.46 (define @t258 () (and @t257 @t256)) % 40.24/40.46 (define @t259 () (= @t258 (= @t254 tptp.sz00))) % 40.24/40.46 (define @t260 () (tptp.aSubsetOf0 @t139 @t139)) % 40.24/40.46 (define @t261 () (not @t260)) % 40.24/40.46 (define @t262 () (or @t261 (= @t139 @t107) @t259)) % 40.24/40.46 (define @t263 () (forall @t243 (or (not (tptp.aSubsetOf0 @t1 @t139)) @t170 @t240))) % 40.24/40.46 (define @t264 () (= tptp.sz00 @t254)) % 40.24/40.46 (define @t265 () (= @t258 @t264)) % 40.24/40.46 (define @t266 () (= @t107 @t139)) % 40.24/40.46 (define @t267 () (or @t261 @t266 @t265)) % 40.24/40.46 (define @t268 () (@list @t263)) % 40.24/40.46 (define @t269 () (tptp.aSet0 @t139)) % 40.24/40.46 (define @t270 () (not @t269)) % 40.24/40.46 (define @t271 () (or @t270 @t260)) % 40.24/40.46 (define @t272 () (and @t255 @t102)) % 40.24/40.46 (define @t273 () (@var "BOUND_VARIABLE_8780" $$unsorted)) % 40.24/40.46 (define @t274 () (tptp.aElementOf0 @t21 @t273)) % 40.24/40.46 (define @t275 () (forall @t24 (= @t272 @t274))) % 40.24/40.46 (define @t276 () (tptp.aSet0 @t273)) % 40.24/40.46 (define @t277 () (and @t276 @t275)) % 40.24/40.46 (define @t278 () (= @t104 @t273)) % 40.24/40.46 (define @t279 () (= @t278 @t277)) % 40.24/40.46 (define @t280 () (or @t222 @t279)) % 40.24/40.46 (define @t281 () (@list @t1 @t273)) % 40.24/40.46 (define @t282 () (= @t103 @t274)) % 40.24/40.46 (define @t283 () (forall @t24 @t282)) % 40.24/40.46 (define @t284 () (and @t276 @t283)) % 40.24/40.46 (define @t285 () (= @t278 @t284)) % 40.24/40.46 (define @t286 () (or @t195 @t285)) % 40.24/40.46 (define @t287 () (forall @t24 (= @t274 @t103))) % 40.24/40.46 (define @t288 () (and @t276 @t287)) % 40.24/40.46 (define @t289 () (= (= @t273 @t104) @t288)) % 40.24/40.46 (define @t290 () (or @t195 @t289)) % 40.24/40.46 (define @t291 () (forall @t281 @t290)) % 40.24/40.46 (define @t292 () (@list @t273)) % 40.24/40.46 (define @t293 () (forall @t292 @t290)) % 40.24/40.46 (define @t294 () (forall @t292 @t289)) % 40.24/40.46 (define @t295 () (or @t195 @t294)) % 40.24/40.46 (define @t296 () (forall @t24 (= (tptp.aElementOf0 @t21 @t107) (and @t255 (tptp.sdtlseqdt0 @t101 tptp.sz00))))) % 40.24/40.46 (define @t297 () (and @t174 @t296)) % 40.24/40.46 (define @t298 () (= @t176 @t297)) % 40.24/40.46 (define @t299 () (not @t257)) % 40.24/40.46 (define @t300 () (or @t299 @t298)) % 40.24/40.46 (define @t301 () (forall @t281 (or @t222 (= @t278 (and @t276 (forall @t24 (= @t274 @t272))))))) % 40.24/40.46 (define @t302 () (or @t299 @t297)) % 40.24/40.46 (define @t303 () (@list tptp.sz00)) % 40.24/40.46 (define @t304 () (or @t195 @t78)) % 40.24/40.46 (define @t305 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.sz00) tptp.sz00)) % 40.24/40.46 (define @t306 () (not @t305)) % 40.24/40.46 (define @t307 () (or @t299 @t306)) % 40.24/40.46 (define @t308 () (and @t257 @t305)) % 40.24/40.46 (define @t309 () (not @t308)) % 40.24/40.46 (define @t310 () (@list true)) % 40.24/40.46 (define @t311 () (tptp.aElementOf0 tptp.sz00 @t107)) % 40.24/40.46 (define @t312 () (= @t311 @t308)) % 40.24/40.46 (define @t313 () (not @t311)) % 40.24/40.46 (define @t314 () (@list true false)) % 40.24/40.46 (define @t315 () (not @t266)) % 40.24/40.46 (define @t316 () (= false true)) % 40.24/40.46 (define @t317 () (@list true false false)) % 40.24/40.46 (define @t318 () (or @t195 @t76)) % 40.24/40.46 (define @t319 () (forall @t3 (or @t222 @t76))) % 40.24/40.46 (define @t320 () (not @t80)) % 40.24/40.46 (define @t321 () (or @t195 @t208 @t320 @t142)) % 40.24/40.46 (define @t322 () (@list tptp.xm)) % 40.24/40.46 (define @t323 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xm)) % 40.24/40.46 (define @t324 () (tptp.aElementOf0 tptp.xm @t139)) % 40.24/40.46 (define @t325 () (not @t324)) % 40.24/40.46 (define @t326 () (or @t325 @t323)) % 40.24/40.46 (define @t327 () (tptp.aSubsetOf0 @t164 @t138)) % 40.24/40.46 (define @t328 () (not @t323)) % 40.24/40.46 (define @t329 () (or @t325 @t299 @t328 @t327)) % 40.24/40.46 (define @t330 () (not @t28)) % 40.24/40.46 (define @t331 () (not @t38)) % 40.24/40.46 (define @t332 () (not @t26)) % 40.24/40.46 (define @t333 () (or @t189 @t332 @t331 @t330 @t37)) % 40.24/40.46 (define @t334 () (or @t331 @t330 @t37)) % 40.24/40.46 (define @t335 () (tptp.aSubsetOf0 @t164 @t166)) % 40.24/40.46 (define @t336 () (not @t335)) % 40.24/40.46 (define @t337 () (not @t167)) % 40.24/40.46 (define @t338 () (tptp.aSet0 @t164)) % 40.24/40.46 (define @t339 () (not @t338)) % 40.24/40.46 (define @t340 () (tptp.aSet0 @t166)) % 40.24/40.46 (define @t341 () (not @t340)) % 40.24/40.46 (define @t342 () (or @t341 @t339 @t337 @t336 (= @t166 @t164))) % 40.24/40.46 (define @t343 () (forall @t42 @t333)) % 40.24/40.46 (define @t344 () (= @t164 @t166)) % 40.24/40.46 (define @t345 () (or @t341 @t339 @t337 @t336 @t344)) % 40.24/40.46 (define @t346 () (= @t133 @t153)) % 40.24/40.46 (define @t347 () (or @t195 @t346)) % 40.24/40.46 (define @t348 () (tptp.szmzizndt0 @t166)) % 40.24/40.46 (define @t349 () (or @t202 (= @t348 @t161))) % 40.24/40.46 (define @t350 () (forall @t3 (or @t222 @t346))) % 40.24/40.46 (define @t351 () (= @t161 @t348)) % 40.24/40.46 (define @t352 () (or @t202 @t351)) % 40.24/40.46 (define @t353 () (tptp.sdtlseqdt0 @t160 @t21)) % 40.24/40.46 (define @t354 () (tptp.aElementOf0 @t21 @t164)) % 40.24/40.46 (define @t355 () (not @t354)) % 40.24/40.46 (define @t356 () (tptp.aElementOf0 @t160 @t164)) % 40.24/40.46 (define @t357 () (and @t356 (forall @t24 (or @t355 @t353)))) % 40.24/40.46 (define @t358 () (= @t357 (= @t165 @t160))) % 40.24/40.46 (define @t359 () (tptp.aSubsetOf0 @t164 @t139)) % 40.24/40.46 (define @t360 () (not @t359)) % 40.24/40.46 (define @t361 () (or @t360 (= @t164 @t107) @t358)) % 40.24/40.46 (define @t362 () (= @t160 @t165)) % 40.24/40.46 (define @t363 () (= @t357 @t362)) % 40.24/40.46 (define @t364 () (= @t107 @t164)) % 40.24/40.46 (define @t365 () (or @t360 @t364 @t363)) % 40.24/40.46 (define @t366 () (tptp.isCountable0 @t164)) % 40.24/40.46 (define @t367 () (and @t359 @t366)) % 40.24/40.46 (define @t368 () (or @t325 @t367)) % 40.24/40.46 (define @t369 () (not @t367)) % 40.24/40.46 (define @t370 () (@list @t367)) % 40.24/40.46 (define @t371 () (not @t366)) % 40.24/40.46 (define @t372 () (not @t364)) % 40.24/40.46 (define @t373 () (not @t194)) % 40.24/40.46 (define @t374 () (= true false)) % 40.24/40.46 (define @t375 () (@list false true false)) % 40.24/40.46 (define @t376 () (not @t357)) % 40.24/40.46 (define @t377 () (not @t362)) % 40.24/40.46 (define @t378 () (= @t160 @t161)) % 40.24/40.46 (define @t379 () (and @t378 @t344 @t351)) % 40.24/40.46 (define @t380 () (not @t344)) % 40.24/40.46 (define @t381 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 40.24/40.46 (define @t382 () (= (tptp.aSubsetOf0 @t381 @t1) (and (tptp.aSet0 @t381) (forall @t24 (or (not (tptp.aElementOf0 @t21 @t381)) @t22))))) % 40.24/40.46 (define @t383 () (or @t189 @t382)) % 40.24/40.46 (define @t384 () (@list @t381)) % 40.24/40.46 (define @t385 () (forall @t384 @t383)) % 40.24/40.46 (define @t386 () (forall @t384 @t382)) % 40.24/40.46 (define @t387 () (or @t189 @t386)) % 40.24/40.46 (define @t388 () (forall @t8 (= @t28 (and @t26 (forall @t24 (or (not @t23) @t22)))))) % 40.24/40.46 (define @t389 () (and @t338 (forall @t24 (or @t355 @t255)))) % 40.24/40.46 (define @t390 () (= @t359 @t389)) % 40.24/40.46 (define @t391 () (or @t270 @t390)) % 40.24/40.46 (define @t392 () (not (tptp.aElementOf0 @t21 @t166))) % 40.24/40.46 (define @t393 () (forall @t24 (or @t392 @t354))) % 40.24/40.46 (define @t394 () (and @t340 @t393)) % 40.24/40.46 (define @t395 () (= @t167 @t394)) % 40.24/40.46 (define @t396 () (or @t339 @t395)) % 40.24/40.46 (define @t397 () (not @t394)) % 40.24/40.46 (define @t398 () (@list @t394)) % 40.24/40.46 (define @t399 () (not @t327)) % 40.24/40.46 (define @t400 () (= tptp.xn @t254)) % 40.24/40.46 (define @t401 () (not @t400)) % 40.24/40.46 (define @t402 () (not @t264)) % 40.24/40.46 (define @t403 () (and @t336 @t400 @t264 @t327)) % 40.24/40.46 (define @t404 () (not @t226)) % 40.24/40.46 (define @t405 () (not @t232)) % 40.24/40.46 (define @t406 () (and @t232 @t226 @t264 @t401)) % 40.24/40.46 (define @t407 () (@quantifiers_skolemize @t224 0)) % 40.24/40.46 (define @t408 () (tptp.szszuzczcdt0 @t407)) % 40.24/40.46 (define @t409 () (= tptp.xn @t408)) % 40.24/40.46 (define @t410 () (not @t409)) % 40.24/40.46 (define @t411 () (not (tptp.aElementOf0 @t407 @t139))) % 40.24/40.46 (define @t412 () (or @t411 @t410)) % 40.24/40.46 (define @t413 () (not @t412)) % 40.24/40.46 (define @t414 () (not (= @t408 tptp.xn))) % 40.24/40.46 (define @t415 () (or @t411 @t414)) % 40.24/40.46 (define @t416 () (not @t415)) % 40.24/40.46 (define @t417 () (tptp.aElementOf0 @t160 @t166)) % 40.24/40.46 (define @t418 () (and @t417 (forall @t24 (or @t392 @t353)))) % 40.24/40.46 (define @t419 () (= @t160 @t348)) % 40.24/40.46 (define @t420 () (= @t418 (= @t348 @t160))) % 40.24/40.46 (define @t421 () (not @t199)) % 40.24/40.46 (define @t422 () (or @t421 (= @t166 @t107) @t420)) % 40.24/40.46 (define @t423 () (= @t419 @t418)) % 40.24/40.46 (define @t424 () (= @t107 @t166)) % 40.24/40.46 (define @t425 () (or @t421 @t424 @t423)) % 40.24/40.46 (define @t426 () (not @t417)) % 40.24/40.46 (define @t427 () (or @t426 @t356)) % 40.24/40.46 (define @t428 () (not @t418)) % 40.24/40.46 (define @t429 () (not @t423)) % 40.24/40.46 (define @t430 () (not @t424)) % 40.24/40.46 (define @t431 () (not @t198)) % 40.24/40.46 (define @t432 () (tptp.sdtlpdtrp0 tptp.xN @t408)) % 40.24/40.46 (define @t433 () (and @t194 @t424 @t409 @t198)) % 40.24/40.46 (assume @p1 (forall @t3 (=> @t2 true))) % 40.24/40.46 (assume @p2 (forall @t3 (=> @t4 true))) % 40.24/40.46 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 40.24/40.46 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 40.24/40.46 (assume @p5 @t15) % 40.24/40.46 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 40.24/40.46 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 40.24/40.46 (assume @p8 (forall @t3 (=> @t18 @t17))) % 40.24/40.46 (assume @p9 @t20) % 40.24/40.46 (assume @p10 @t32) % 40.24/40.46 (assume @p11 (forall @t3 (=> @t34 (forall @t8 (=> @t28 @t33))))) % 40.24/40.46 (assume @p12 @t36) % 40.24/40.46 (assume @p13 @t43) % 40.24/40.46 (assume @p14 (forall @t46 (=> (and @t2 @t26 @t45) (=> (and @t38 @t44) (tptp.aSubsetOf0 @t1 @t21))))) % 40.24/40.46 (assume @p15 (forall @t42 (=> @t54 (forall @t24 (= (= @t21 @t53) (and @t45 (forall @t52 (= @t51 (and @t50 (or @t49 @t48)))))))))) % 40.24/40.46 (assume @p16 (forall @t42 (=> @t54 (forall @t24 (= (= @t21 @t55) (and @t45 (forall @t52 (= @t51 (and @t50 @t49 (not @t48)))))))))) % 40.24/40.46 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t55 @t5) @t1)))))) % 40.24/40.46 (assume @p18 (forall @t42 (=> (and @t4 @t26) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t56 @t1) @t5))))) % 40.24/40.46 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t58 (tptp.isCountable0 @t56)))))) % 40.24/40.46 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t58 (tptp.isCountable0 @t59)))))) % 40.24/40.46 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t60 (tptp.isFinite0 @t56)))))) % 40.24/40.46 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t60 (tptp.isFinite0 @t59)))))) % 40.24/40.46 (assume @p23 (and @t61 (tptp.isCountable0 tptp.szNzAzT0))) % 40.24/40.46 (assume @p24 @t62) % 40.24/40.46 (assume @p25 (forall @t3 (=> @t64 (and (tptp.aElementOf0 @t63 tptp.szNzAzT0) (not (= @t63 tptp.sz00)))))) % 40.24/40.46 (assume @p26 (forall @t42 (=> @t67 (=> (= @t63 @t65) @t37)))) % 40.24/40.46 (assume @p27 @t74) % 40.24/40.46 (assume @p28 (forall @t3 (=> @t64 (not (= @t1 @t63))))) % 40.24/40.46 (assume @p29 (forall @t42 (=> @t67 (=> @t75 true)))) % 40.24/40.46 (assume @p30 @t77) % 40.24/40.46 (assume @p31 @t79) % 40.24/40.46 (assume @p32 (forall @t42 (=> @t67 (= @t75 (tptp.sdtlseqdt0 @t63 @t65))))) % 40.24/40.46 (assume @p33 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t63)))) % 40.24/40.46 (assume @p34 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t1)))) % 40.24/40.46 (assume @p35 (forall @t42 (=> @t67 (=> (and @t75 @t80) @t37)))) % 40.24/40.46 (assume @p36 (forall @t46 (=> (and @t64 @t66 @t82) (=> (and @t75 @t81) (tptp.sdtlseqdt0 @t1 @t21))))) % 40.24/40.46 (assume @p37 (forall @t42 (=> @t67 (or @t75 (tptp.sdtlseqdt0 @t65 @t1))))) % 40.24/40.46 (assume @p38 (forall @t42 (=> @t67 (=> (tptp.iLess0 @t1 @t5) true)))) % 40.24/40.46 (assume @p39 (forall @t3 (=> @t64 (tptp.iLess0 @t1 @t63)))) % 40.24/40.46 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t83)))) % 40.24/40.46 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t83 tptp.szNzAzT0) @t9)))) % 40.24/40.46 (assume @p42 @t86) % 40.24/40.46 (assume @p43 (forall @t3 (=> @t34 (forall @t8 (=> @t6 (=> @t87 (= (tptp.sbrdtbr0 @t53) (tptp.szszuzczcdt0 @t83)))))))) % 40.24/40.46 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t55)) @t83)))))) % 40.24/40.46 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t28) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t83)))))) % 40.24/40.46 (assume @p46 (forall @t42 (=> @t88 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t83)) (exists @t24 (and (tptp.aSubsetOf0 @t21 @t1) (= (tptp.sbrdtbr0 @t21) @t5))))))) % 40.24/40.46 (assume @p47 @t98) % 40.24/40.46 (assume @p48 (forall @t3 (=> (and @t95 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t24 (=> @t22 (tptp.sdtlseqdt0 @t21 @t5))))))))) % 40.24/40.46 (assume @p49 (forall @t42 (=> (and @t95 @t100 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t91 @t5) (tptp.aElementOf0 @t99 @t1)) (= @t91 @t99))))) % 40.24/40.46 (assume @p50 @t106) % 40.24/40.46 (assume @p51 (forall @t3 (=> @t64 (tptp.isFinite0 @t104)))) % 40.24/40.46 (assume @p52 (= @t107 tptp.slcrc0)) % 40.24/40.46 (assume @p53 (forall @t42 (=> @t67 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t65)) (or (tptp.aElementOf0 @t1 @t108) @t37))))) % 40.24/40.46 (assume @p54 (forall @t42 (=> @t67 (= @t75 (tptp.aSubsetOf0 @t104 @t108))))) % 40.24/40.46 (assume @p55 (forall @t3 (=> (and @t95 @t9) (exists @t8 (and @t66 (tptp.aSubsetOf0 @t1 @t108)))))) % 40.24/40.46 (assume @p56 (forall @t3 (=> @t64 (= (tptp.sbrdtbr0 @t104) @t1)))) % 40.24/40.46 (assume @p57 (forall @t42 (=> @t88 (forall @t24 (= (= @t21 @t110) (and @t45 (forall @t52 (= @t51 (and @t109 (= (tptp.sbrdtbr0 @t47) @t5)))))))))) % 40.24/40.46 (assume @p58 (forall @t3 (=> @t34 (forall @t8 (=> @t66 (tptp.isFinite0 @t110)))))) % 40.24/40.46 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t66 (not (= @t110 tptp.slcrc0))))))) % 40.24/40.46 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t66 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t110)))))) % 40.24/40.46 (assume @p61 (forall @t3 (=> @t64 (forall (@list @t5 @t21) (=> (and @t26 @t45 (not @t71)) (=> (and (tptp.aSubsetOf0 @t111 (tptp.slbdtsldtrb0 @t21 @t1)) (not (= @t111 tptp.slcrc0))) @t44)))))) % 40.24/40.46 (assume @p62 (forall @t42 (=> @t88 (forall @t24 (=> (and (tptp.aSubsetOf0 @t21 @t110) (tptp.isFinite0 @t21)) (exists @t52 (and @t109 (tptp.isFinite0 @t47) (tptp.aSubsetOf0 @t21 (tptp.slbdtsldtrb0 @t47 @t5))))))))) % 40.24/40.46 (assume @p63 (forall @t3 (=> @t112 true))) % 40.24/40.46 (assume @p64 (forall @t3 (=> @t112 (tptp.aSet0 @t113)))) % 40.24/40.46 (assume @p65 (forall @t3 (=> @t112 (forall @t8 (=> @t115 (tptp.aElement0 @t114)))))) % 40.24/40.46 (assume @p66 (forall @t42 (=> @t119 (forall @t24 (= (= @t21 @t118) (and @t45 (forall @t52 (= @t51 (and @t117 (= @t116 @t5)))))))))) % 40.24/40.46 (assume @p67 (forall @t42 (=> @t119 (tptp.aSubsetOf0 @t118 @t113)))) % 40.24/40.46 (assume @p68 (forall @t3 (=> @t112 (forall @t8 (=> @t123 (forall @t24 (= (= @t21 @t122) (and @t45 (forall @t52 (= @t51 (exists @t121 (and (tptp.aElementOf0 @t120 @t5) (= (tptp.sdtlpdtrp0 @t1 @t120) @t47))))))))))))) % 40.24/40.46 (assume @p69 (forall @t3 (=> @t112 (forall @t8 (=> @t115 (tptp.aElementOf0 @t114 @t124)))))) % 40.24/40.46 (assume @p70 (forall @t3 (=> @t112 (forall @t8 (=> @t123 (forall @t24 (= (= @t21 (tptp.sdtexdt0 @t1 @t5)) (and @t126 (= @t125 @t5) (forall @t52 (=> (tptp.aElementOf0 @t47 @t5) (= (tptp.sdtlpdtrp0 @t21 @t47) @t116))))))))))) % 40.24/40.46 (assume @p71 (forall @t3 (=> @t112 (forall @t8 (=> (and @t123 @t57) (=> (forall (@list @t21 @t47) (=> (and (tptp.aElementOf0 @t21 @t113) @t117 (not (= @t21 @t47))) (not (= (tptp.sdtlpdtrp0 @t1 @t21) @t116)))) (tptp.isCountable0 @t122))))))) % 40.24/40.46 (assume @p72 (forall @t3 (=> @t112 (=> (and (tptp.isCountable0 @t113) (tptp.isFinite0 @t124)) (and (tptp.aElement0 @t127) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t127))))))) % 40.24/40.46 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 40.24/40.46 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 40.24/40.46 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 40.24/40.46 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t128 @t129) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t128) tptp.xT))) % 40.24/40.46 (assume @p77 (forall @t3 (=> @t64 (forall @t8 (=> (and @t100 @t57) (forall @t24 (=> (and @t126 (= @t125 @t111) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t21 @t125) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t52 (and (tptp.aElementOf0 @t47 tptp.xT) (exists @t121 (and (tptp.aSubsetOf0 @t120 @t5) (tptp.isCountable0 @t120) (forall (@list @t130) (=> (tptp.aElementOf0 @t130 (tptp.slbdtsldtrb0 @t120 @t1)) (= (tptp.sdtlpdtrp0 @t21 @t130) @t47))))))))))))))) % 40.24/40.46 (assume @p78 (not (= tptp.xK tptp.sz00))) % 40.24/40.46 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 40.24/40.46 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t139 tptp.szNzAzT0) (= @t138 tptp.xS) (forall @t3 (=> @t64 (=> @t137 (and (tptp.aSubsetOf0 @t131 @t134) (tptp.isCountable0 @t131))))))) % 40.24/40.46 (assume @p81 @t140) % 40.24/40.46 (assume @p82 @t144) % 40.24/40.46 (assume @p83 (forall @t42 (=> (and @t64 @t66 (not @t37)) (not (= @t133 (tptp.szmzizndt0 @t141)))))) % 40.24/40.46 (assume @p84 (forall @t3 (=> @t64 (forall @t8 (=> @t147 (tptp.aElementOf0 @t145 @t129)))))) % 40.24/40.46 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t64 (and (tptp.aFunction0 @t148) (= @t150 @t146) (forall @t8 (=> @t147 (= @t149 (tptp.sdtlpdtrp0 tptp.xc @t145))))))))) % 40.24/40.46 (assume @p86 (forall @t3 (=> @t64 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t148 @t150) tptp.xT)))) % 40.24/40.46 (assume @p87 (forall @t3 (=> @t64 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t134) @t57) (forall @t24 (=> (and @t45 (tptp.aElementOf0 @t21 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t21 @t146)))))))) % 40.24/40.46 (assume @p88 (forall @t3 (=> @t64 (exists @t8 (and @t151 (exists @t24 (and (tptp.aSubsetOf0 @t21 @t134) (tptp.isCountable0 @t21) (forall @t52 (=> (and (tptp.aSet0 @t47) (tptp.aElementOf0 @t47 (tptp.slbdtsldtrb0 @t21 tptp.xk))) (= (tptp.sdtlpdtrp0 @t148 @t47) @t5)))))))))) % 40.24/40.46 (assume @p89 (forall @t3 (=> @t64 (exists @t8 (and @t151 (forall @t24 (=> (and @t45 (tptp.aElementOf0 @t21 @t152)) (= (tptp.sdtlpdtrp0 @t148 @t21) @t5)))))))) % 40.24/40.46 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t155)) % 40.24/40.46 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t156 tptp.szNzAzT0) (forall @t3 (=> @t64 (forall @t8 (=> (and @t26 (tptp.aElementOf0 @t5 @t152)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t149))))))) % 40.24/40.46 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t156) tptp.xT)) % 40.24/40.46 (assume @p93 (and (tptp.aElementOf0 @t157 tptp.xT) (tptp.isCountable0 @t158))) % 40.24/40.46 (assume @p94 (and @t159 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t158)))) % 40.24/40.46 (assume @p95 (and @t159 (tptp.isCountable0 tptp.xO))) % 40.24/40.46 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t66 (tptp.aElementOf0 @t5 @t158) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 40.24/40.46 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 40.24/40.46 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 40.24/40.46 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 40.24/40.46 (assume @p100 (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 40.24/40.46 (assume @p101 (tptp.aElementOf0 tptp.xQ @t128)) % 40.24/40.46 (assume @p102 (= tptp.xp @t160)) % 40.24/40.46 (assume @p103 (and (tptp.aSet0 tptp.xP) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t160)))) % 40.24/40.46 (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ)) % 40.24/40.46 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 40.24/40.46 (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 40.24/40.46 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 40.24/40.46 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 40.24/40.46 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 40.24/40.46 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t158) @t162 (= @t161 tptp.xp))) % 40.24/40.46 (assume @p111 (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t157)) % 40.24/40.46 (assume @p112 (tptp.aElementOf0 tptp.xx tptp.xP)) % 40.24/40.46 (assume @p113 (and (tptp.aElementOf0 tptp.xx tptp.szNzAzT0) (tptp.aElementOf0 tptp.xx tptp.xO))) % 40.24/40.46 (assume @p114 (and @t163 (= tptp.xx (tptp.sdtlpdtrp0 tptp.xe tptp.xm)))) % 40.24/40.46 (assume @p115 (= tptp.xx @t165)) % 40.24/40.46 (assume @p116 (not (tptp.aSubsetOf0 @t164 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))) % 40.24/40.46 (assume @p117 @t167) % 40.24/40.46 (assume @p118 @t169) % 40.24/40.46 (assume @p119 true) % 40.24/40.46 (step @p120 :rule eq-symm :args (@t170 @t172)) % 40.24/40.46 (step @p121 :rule cong :premises (@p120) :args ((forall @t3 (= @t170 @t172)))) % 40.24/40.46 (step @p122 :rule refl :args (@t172)) % 40.24/40.46 (step @p123 :rule symm :premises (@p52)) % 40.24/40.46 (step @p124 :rule refl :args (@t1)) % 40.24/40.46 (step @p125 :rule cong :premises (@p124 @p123) :args (@t13)) % 40.24/40.46 (step @p126 :rule cong :premises (@p125 @p122) :args (@t173)) % 40.24/40.46 (step @p127 :rule cong :premises (@p126) :args ((forall @t3 @t173))) % 40.24/40.46 (step @p128 :rule trans :premises (@p127 @p121)) % 40.24/40.46 (step @p129 :rule bool-double-not-elim :args (@t171)) % 40.24/40.46 (step @p130 :rule exists-elim :args ((= @t10 (not @t171)))) % 40.24/40.46 (step @p131 :rule cong :premises (@p130) :args (@t11)) % 40.24/40.46 (step @p132 :rule trans :premises (@p131 @p129)) % 40.24/40.46 (step @p133 :rule refl :args (@t2)) % 40.24/40.46 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t12)) % 40.24/40.46 (step @p135 :rule refl :args (@t13)) % 40.24/40.46 (step @p136 :rule cong :premises (@p135 @p134) :args (@t14)) % 40.24/40.46 (step @p137 :rule cong :premises (@p136) :args (@t15)) % 40.24/40.46 (step @p138 :rule trans :premises (@p137 @p128)) % 40.24/40.46 (step @p139 :rule eq_resolve :premises (@p5 @p138)) % 40.24/40.46 (step @p140 :rule bool-eq-true :args (@t175)) % 40.24/40.46 (step @p141 :rule eq-symm :args (true @t175)) % 40.24/40.46 (step @p142 :rule trans :premises (@p141 @p140)) % 40.24/40.46 (step @p143 :rule refl :args (@t175)) % 40.24/40.46 (step @p144 :rule eq-refl :args (@t107)) % 40.24/40.46 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t176 @t175))) % 40.24/40.46 (step @p146 :rule trans :premises (@p145 @p142)) % 40.24/40.46 (step @p147 :rule eq-symm :args (@t175 @t176)) % 40.24/40.46 (step @p148 :rule trans :premises (@p147 @p146)) % 40.24/40.46 (step @p149 :rule refl :args (@t177)) % 40.24/40.46 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t177 @t178))) % 40.24/40.46 (assume-push @p906 @t177) % 40.24/40.46 (step @p152 :rule instantiate :premises (@p139) :args (@t179)) % 40.24/40.46 (step-pop @p907 :rule scope :premises (@p152)) % 40.24/40.46 (step @p153 :rule process_scope :premises (@p907) :args (@t178)) % 40.24/40.46 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 40.24/40.46 (step @p156 :rule implies_elim :premises (@p155)) % 40.24/40.46 (step @p157 :rule chain_m_resolution :premises (@p156 @p139) :args (@t175 @t180 (@list @t177))) % 40.24/40.46 (step @p158 :rule cnf_and_pos :args (@t175 0)) % 40.24/40.46 (step @p159 :rule reordering :premises (@p158) :args ((or @t174 (not @t175)))) % 40.24/40.46 (step @p160 :rule chain_m_resolution :premises (@p159 @p157) :args (@t174 @t180 (@list @t175))) % 40.24/40.46 (step @p161 :rule cong :premises (@p123) :args (@t181)) % 40.24/40.46 (step @p162 :rule cong :premises (@p161) :args (@t182)) % 40.24/40.46 (step @p163 :rule cong :premises (@p123) :args (@t183)) % 40.24/40.46 (step @p164 :rule cong :premises (@p163) :args (@t184)) % 40.24/40.46 (step @p165 :rule nary_cong :premises (@p164 @p162) :args (@t185)) % 40.24/40.46 (step @p166 :rule aci_norm :args ((= (or @t184 @t182 false) @t185))) % 40.24/40.46 (step @p167 :rule evaluate :args ((not true))) % 40.24/40.46 (step @p168 :rule eq-refl :args (tptp.slcrc0)) % 40.24/40.46 (step @p169 :rule cong :premises (@p168) :args (@t186)) % 40.24/40.46 (step @p170 :rule trans :premises (@p169 @p167)) % 40.24/40.46 (step @p171 :rule refl :args (@t182)) % 40.24/40.46 (step @p172 :rule refl :args (@t184)) % 40.24/40.46 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args (@t187)) % 40.24/40.46 (step @p174 :rule trans :premises (@p173 @p166)) % 40.24/40.46 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t3 @t190) @t187))) % 40.24/40.46 (step @p176 :rule aci_norm :args ((= @t191 @t190))) % 40.24/40.46 (step @p177 :rule cong :premises (@p176) :args ((forall @t3 @t191))) % 40.24/40.46 (step @p178 :rule trans :premises (@p177 @p175)) % 40.24/40.46 (step @p179 :rule trans :premises (@p178 @p174)) % 40.24/40.46 (step @p180 :rule aci_norm :args ((= (or (or @t189 @t188) @t19) @t191))) % 40.24/40.46 (step @p181 :rule refl :args (@t19)) % 40.24/40.46 (step @p182 :rule bool-and-de-morgan :args (@t2 @t16 true)) % 40.24/40.46 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or (not @t18) @t19))) % 40.24/40.46 (step @p184 :rule trans :premises (@p183 @p180)) % 40.24/40.46 (step @p185 :rule bool-impl-elim :args (@t18 @t19)) % 40.24/40.46 (step @p186 :rule trans :premises (@p185 @p184)) % 40.24/40.46 (step @p187 :rule cong :premises (@p186) :args (@t20)) % 40.24/40.46 (step @p188 :rule trans :premises (@p187 @p179)) % 40.24/40.46 (step @p189 :rule trans :premises (@p188 @p165)) % 40.24/40.46 (step @p190 :rule eq_resolve :premises (@p9 @p189)) % 40.24/40.46 (step @p191 :rule reordering :premises (@p190) :args ((or @t194 @t192))) % 40.24/40.46 (step @p192 :rule chain_m_resolution :premises (@p191 @p160) :args (@t194 @t180 (@list @t174))) % 40.24/40.46 (step @p193 :rule refl :args (@t135)) % 40.24/40.46 (step @p194 :rule and_elim :premises (@p80) :args (1)) % 40.24/40.46 (step @p195 :rule symm :premises (@p194)) % 40.24/40.46 (step @p196 :rule refl :args (@t132)) % 40.24/40.46 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@t268)) % 40.24/40.46 (step @p847 :rule trans :premises (@p567 @p593)) % 40.24/40.46 (step @p848 :rule cnf_and_pos :args (@t394 1)) % 40.24/40.46 (step @p849 :rule reordering :premises (@p848) :args ((or @t393 @t397))) % 40.24/40.46 (step @p850 :rule chain_m_resolution :premises (@p849 @p717) :args (@t393 @t180 @t398)) % 40.24/40.46 (step @p851 :rule instantiate :premises (@p850) :args ((@list @t160))) % 40.24/40.46 (step @p852 :rule cnf_or_pos :args (@t427)) % 40.24/40.46 (step @p853 :rule reordering :premises (@p852) :args ((or @t356 @t426 (not @t427)))) % 40.24/40.46 (step @p854 :rule chain_m_resolution :premises (@p853 @p647 @p851) :args (@t426 @t314 (@list @t356 @t427))) % 40.24/40.46 (step @p855 :rule cnf_and_pos :args (@t418 0)) % 40.24/40.46 (step @p856 :rule reordering :premises (@p855) :args ((or @t417 @t428))) % 40.24/40.46 (step @p857 :rule chain_m_resolution :premises (@p856 @p854) :args (@t428 @t310 (@list @t417))) % 40.24/40.46 (step @p858 :rule cnf_equiv_pos1 :args (@t423)) % 40.24/40.46 (step @p859 :rule reordering :premises (@p858) :args ((or @t418 (not @t419) @t429))) % 40.24/40.46 (step @p860 :rule chain_m_resolution :premises (@p859 @p857 @p847) :args (@t429 @t314 (@list @t418 @t419))) % 40.24/40.46 (step @p861 :rule cnf_and_pos :args (@t200 0)) % 40.24/40.46 (step @p862 :rule reordering :premises (@p861) :args ((or @t199 @t205))) % 40.24/40.46 (step @p863 :rule chain_m_resolution :premises (@p862 @p214) :args (@t199 @t180 @t206)) % 40.24/40.46 (step @p864 :rule cnf_or_pos :args (@t425)) % 40.24/40.46 (step @p865 :rule reordering :premises (@p864) :args ((or @t421 @t424 @t423 (not @t425)))) % 40.24/40.46 (step @p866 :rule chain_m_resolution :premises (@p865 @p863 @p860 @p846) :args (@t424 @t375 (@list @t199 @t423 @t425))) % 40.24/40.46 (step @p867 :rule refl :args (@t430)) % 40.24/40.46 (step @p868 :rule refl :args (@t410)) % 40.24/40.46 (step @p869 :rule refl :args (@t431)) % 40.24/40.46 (step @p870 :rule nary_cong :premises (@p617 @p869 @p868 @p867) :args ((or @t373 @t431 @t410 @t430))) % 40.24/40.46 (assume-push @p982 @t194) % 40.24/40.46 (assume-push @p983 @t424) % 40.24/40.46 (assume-push @p984 @t409) % 40.24/40.46 (assume-push @p985 @t198) % 40.24/40.46 (step @p622 :rule evaluate :args (@t374)) % 40.24/40.46 (step @p623 :rule false_intro :premises (@p192)) % 40.24/40.46 (step @p875 :rule symm :premises (@p866)) % 40.24/40.46 (step @p876 :rule symm :premises (@p984)) % 40.24/40.46 (step @p736 :rule refl :args (tptp.xN)) % 40.24/40.46 (step @p877 :rule cong :premises (@p736 @p876) :args (@t432)) % 40.24/40.46 (step @p878 :rule trans :premises (@p877 @p875)) % 40.24/40.46 (step @p879 :rule cong :premises (@p878) :args ((tptp.isCountable0 @t432))) % 40.24/40.46 (step @p880 :rule symm :premises (@p877)) % 40.24/40.46 (step @p881 :rule cong :premises (@p880) :args (@t198)) % 40.24/40.46 (step @p882 :rule true_intro :premises (@p217)) % 40.24/40.46 (step @p883 :rule symm :premises (@p882)) % 40.24/40.46 (step @p884 :rule trans :premises (@p883 @p881 @p879 @p623)) % 40.24/40.46 (step @p885 false :rule eq_resolve :premises (@p884 @p622)) % 40.24/40.46 (step-pop @p986 :rule scope :premises (@p885)) % 40.24/40.46 (step-pop @p987 :rule scope :premises (@p986)) % 40.24/40.46 (step-pop @p988 :rule scope :premises (@p987)) % 40.24/40.46 (step-pop @p989 :rule scope :premises (@p988)) % 40.24/40.46 (step @p886 :rule process_scope :premises (@p989) :args (false)) % 40.24/40.46 (assume-push @p990 @t194) % 40.24/40.46 (assume-push @p991 @t198) % 40.24/40.46 (assume-push @p992 @t409) % 40.24/40.46 (assume-push @p993 @t424) % 40.24/40.46 (step @p895 :rule and_intro :premises (@p192 @p866 @p992 @p217)) % 40.24/40.46 (step-pop @p994 :rule scope :premises (@p895)) % 40.24/40.46 (step-pop @p995 :rule scope :premises (@p994)) % 40.24/40.46 (step-pop @p996 :rule scope :premises (@p995)) % 40.24/40.46 (step-pop @p997 :rule scope :premises (@p996)) % 40.24/40.46 (step @p896 :rule process_scope :premises (@p997) :args (@t433)) % 40.24/40.46 (step @p901 :rule implies_elim :premises (@p896)) % 40.24/40.46 (step @p902 :rule resolution :premises (@p901 @p886) :args (true @t433)) % 40.24/40.46 (step @p903 :rule not_and :premises (@p902)) % 40.24/40.46 (step @p904 :rule eq_resolve :premises (@p903 @p870)) % 40.24/40.46 (step @p905 false :rule chain_m_resolution :premises (@p904 @p866 @p830 @p217 @p192) :args (false (@list false false false true) (@list @t424 @t409 @t198 @t193))) % 40.24/40.46 ) % 40.24/40.46 % SZS output end Proof % 40.24/40.46 % cvc5 exiting %------------------------------------------------------------------------------