%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM595+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:57 AM UTC 2026 % Result : Theorem 33.85s 34.99s % Output : Proof 33.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM595+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:36:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 33.85/34.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.85/34.99 --- Run --no-e-matching --full-saturate-quant at 6... % 33.85/34.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.85/34.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.85/34.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.85/34.99 % SZS status Theorem % 33.85/34.99 % SZS output start Proof % 33.85/34.99 ( % 33.85/34.99 (declare-sort $$unsorted 0) % 33.85/34.99 (declare-const tptp.xi $$unsorted) % 33.85/34.99 (declare-const tptp.xx $$unsorted) % 33.85/34.99 (declare-const tptp.xN $$unsorted) % 33.85/34.99 (declare-const tptp.sz00 $$unsorted) % 33.85/34.99 (declare-const tptp.xC $$unsorted) % 33.85/34.99 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.szNzAzT0 $$unsorted) % 33.85/34.99 (declare-const tptp.xk $$unsorted) % 33.85/34.99 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.xd $$unsorted) % 33.85/34.99 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.xe $$unsorted) % 33.85/34.99 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 33.85/34.99 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.xK $$unsorted) % 33.85/34.99 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.xT $$unsorted) % 33.85/34.99 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.xX $$unsorted) % 33.85/34.99 (declare-const tptp.xS $$unsorted) % 33.85/34.99 (declare-const tptp.xc $$unsorted) % 33.85/34.99 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.slcrc0 $$unsorted) % 33.85/34.99 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.99 (define @t1 () (@var "W0" $$unsorted)) % 33.85/34.99 (define @t2 () (tptp.aSet0 @t1)) % 33.85/34.99 (define @t3 () (@list @t1)) % 33.85/34.99 (define @t4 () (tptp.aElement0 @t1)) % 33.85/34.99 (define @t5 () (@var "W1" $$unsorted)) % 33.85/34.99 (define @t6 () (tptp.aElement0 @t5)) % 33.85/34.99 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 33.85/34.99 (define @t8 () (@list @t5)) % 33.85/34.99 (define @t9 () (tptp.isFinite0 @t1)) % 33.85/34.99 (define @t10 () (= @t1 tptp.slcrc0)) % 33.85/34.99 (define @t11 () (tptp.isCountable0 @t1)) % 33.85/34.99 (define @t12 () (not @t9)) % 33.85/34.99 (define @t13 () (and @t2 @t11)) % 33.85/34.99 (define @t14 () (not @t10)) % 33.85/34.99 (define @t15 () (@var "W2" $$unsorted)) % 33.85/34.99 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 33.85/34.99 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 33.85/34.99 (define @t18 () (@list @t15)) % 33.85/34.99 (define @t19 () (tptp.aSet0 @t5)) % 33.85/34.99 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 33.85/34.99 (define @t21 () (tptp.isFinite0 @t5)) % 33.85/34.99 (define @t22 () (and @t2 @t9)) % 33.85/34.99 (define @t23 () (= @t1 @t5)) % 33.85/34.99 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 33.85/34.99 (define @t25 () (@list @t1 @t5)) % 33.85/34.99 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 33.85/34.99 (define @t27 () (tptp.aSet0 @t15)) % 33.85/34.99 (define @t28 () (@list @t1 @t5 @t15)) % 33.85/34.99 (define @t29 () (@var "W3" $$unsorted)) % 33.85/34.99 (define @t30 () (= @t29 @t5)) % 33.85/34.99 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 33.85/34.99 (define @t32 () (tptp.aElement0 @t29)) % 33.85/34.99 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 33.85/34.99 (define @t34 () (@list @t29)) % 33.85/34.99 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 33.85/34.99 (define @t36 () (and @t2 @t6)) % 33.85/34.99 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 33.85/34.99 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 33.85/34.99 (define @t39 () (tptp.isCountable0 @t5)) % 33.85/34.99 (define @t40 () (and @t19 @t39)) % 33.85/34.99 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 33.85/34.99 (define @t42 () (and @t19 @t21)) % 33.85/34.99 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 33.85/34.99 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 33.85/34.99 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 33.85/34.99 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 33.85/34.99 (define @t47 () (and @t44 @t46)) % 33.85/34.99 (define @t48 () (= @t1 tptp.sz00)) % 33.85/34.99 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 33.85/34.99 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 33.85/34.99 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 33.85/34.99 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 33.85/34.99 (define @t53 () (tptp.sbrdtbr0 @t1)) % 33.85/34.99 (define @t54 () (not @t7)) % 33.85/34.99 (define @t55 () (tptp.sbrdtbr0 @t5)) % 33.85/34.99 (define @t56 () (tptp.sbrdtbr0 @t15)) % 33.85/34.99 (define @t57 () (and @t2 @t46)) % 33.85/34.99 (define @t58 () (tptp.szmzizndt0 @t1)) % 33.85/34.99 (define @t59 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 33.85/34.99 (define @t60 () (tptp.szmzizndt0 @t5)) % 33.85/34.99 (define @t61 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 33.85/34.99 (define @t62 () (tptp.slbdtrb0 @t1)) % 33.85/34.99 (define @t63 () (tptp.slbdtrb0 @t5)) % 33.85/34.99 (define @t64 () (tptp.sbrdtbr0 @t29)) % 33.85/34.99 (define @t65 () (tptp.aSubsetOf0 @t29 @t1)) % 33.85/34.99 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 33.85/34.99 (define @t67 () (tptp.slbdtsldtrb0 @t5 @t1)) % 33.85/34.99 (define @t68 () (tptp.aFunction0 @t1)) % 33.85/34.99 (define @t69 () (tptp.szDzozmdt0 @t1)) % 33.85/34.99 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t5)) % 33.85/34.99 (define @t71 () (tptp.aElementOf0 @t5 @t69)) % 33.85/34.99 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t29)) % 33.85/34.99 (define @t73 () (tptp.aElementOf0 @t29 @t69)) % 33.85/34.99 (define @t74 () (tptp.sdtlbdtrb0 @t1 @t5)) % 33.85/34.99 (define @t75 () (and @t68 @t6)) % 33.85/34.99 (define @t76 () (@var "W4" $$unsorted)) % 33.85/34.99 (define @t77 () (tptp.aElementOf0 @t76 @t5)) % 33.85/34.99 (define @t78 () (@list @t76)) % 33.85/34.99 (define @t79 () (tptp.sdtlcdtrc0 @t1 @t5)) % 33.85/34.99 (define @t80 () (tptp.aSubsetOf0 @t5 @t69)) % 33.85/34.99 (define @t81 () (tptp.sdtlcdtrc0 @t1 @t69)) % 33.85/34.99 (define @t82 () (tptp.aElementOf0 @t29 @t5)) % 33.85/34.99 (define @t83 () (tptp.szDzozmdt0 @t15)) % 33.85/34.99 (define @t84 () (tptp.aFunction0 @t15)) % 33.85/34.99 (define @t85 () (tptp.szDzizrdt0 @t1)) % 33.85/34.99 (define @t86 () (tptp.szDzozmdt0 tptp.xc)) % 33.85/34.99 (define @t87 () (tptp.sdtlcdtrc0 tptp.xc @t86)) % 33.85/34.99 (define @t88 () (tptp.aElementOf0 @t1 @t87)) % 33.85/34.99 (define @t89 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 33.85/34.99 (define @t90 () (tptp.aElementOf0 @t1 @t86)) % 33.85/34.99 (define @t91 () (= @t53 tptp.xK)) % 33.85/34.99 (define @t92 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 33.85/34.99 (define @t93 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 33.85/34.99 (define @t94 () (@var "W5" $$unsorted)) % 33.85/34.99 (define @t95 () (@var "W6" $$unsorted)) % 33.85/34.99 (define @t96 () (@list @t94)) % 33.85/34.99 (define @t97 () (tptp.aElementOf0 @t29 tptp.xT)) % 33.85/34.99 (define @t98 () (tptp.sdtlcdtrc0 @t15 @t83)) % 33.85/34.99 (define @t99 () (tptp.aElementOf0 @t29 @t98)) % 33.85/34.99 (define @t100 () (tptp.aElementOf0 @t29 @t83)) % 33.85/34.99 (define @t101 () (= @t64 @t1)) % 33.85/34.99 (define @t102 () (tptp.aSubsetOf0 @t29 @t5)) % 33.85/34.99 (define @t103 () (tptp.aElementOf0 @t76 @t29)) % 33.85/34.99 (define @t104 () (forall @t78 (=> @t103 @t77))) % 33.85/34.99 (define @t105 () (tptp.aSet0 @t29)) % 33.85/34.99 (define @t106 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 33.85/34.99 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 33.85/34.99 (define @t108 () (tptp.szmzizndt0 @t107)) % 33.85/34.99 (define @t109 () (tptp.sdtmndt0 @t107 @t108)) % 33.85/34.99 (define @t110 () (tptp.aElementOf0 @t5 @t109)) % 33.85/34.99 (define @t111 () (tptp.aElementOf0 @t5 @t107)) % 33.85/34.99 (define @t112 () (forall @t8 (= @t110 (and @t6 @t111 (not (= @t5 @t108)))))) % 33.85/34.99 (define @t113 () (tptp.aSet0 @t109)) % 33.85/34.99 (define @t114 () (forall @t8 (=> @t111 (tptp.sdtlseqdt0 @t108 @t5)))) % 33.85/34.99 (define @t115 () (tptp.aElementOf0 @t108 @t107)) % 33.85/34.99 (define @t116 () (tptp.isCountable0 @t107)) % 33.85/34.99 (define @t117 () (tptp.aSubsetOf0 @t107 tptp.szNzAzT0)) % 33.85/34.99 (define @t118 () (forall @t8 (=> @t111 @t46))) % 33.85/34.99 (define @t119 () (tptp.aSet0 @t107)) % 33.85/34.99 (define @t120 () (tptp.szDzozmdt0 tptp.xN)) % 33.85/34.99 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 33.85/34.99 (define @t122 () (tptp.aElementOf0 @t15 @t121)) % 33.85/34.99 (define @t123 () (tptp.aElementOf0 @t15 @t107)) % 33.85/34.99 (define @t124 () (tptp.sdtlseqdt0 @t108 @t15)) % 33.85/34.99 (define @t125 () (forall @t18 (=> @t123 @t124))) % 33.85/34.99 (define @t126 () (and @t115 @t125)) % 33.85/34.99 (define @t127 () (tptp.sdtpldt0 @t5 @t108)) % 33.85/34.99 (define @t128 () (tptp.aElementOf0 @t15 @t127)) % 33.85/34.99 (define @t129 () (= @t15 @t108)) % 33.85/34.99 (define @t130 () (tptp.aElement0 @t15)) % 33.85/34.99 (define @t131 () (forall @t18 (= @t128 (and @t130 (or @t17 @t129))))) % 33.85/34.99 (define @t132 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 33.85/34.99 (define @t133 () (= @t55 tptp.xk)) % 33.85/34.99 (define @t134 () (tptp.aSubsetOf0 @t5 @t109)) % 33.85/34.99 (define @t135 () (tptp.aElementOf0 @t15 @t109)) % 33.85/34.99 (define @t136 () (forall @t18 (=> @t17 @t135))) % 33.85/34.99 (define @t137 () (and @t113 (forall @t18 (= @t135 (and @t130 @t123 (not @t129)))))) % 33.85/34.99 (define @t138 () (and @t19 (=> @t126 (=> @t137 (or (and (or @t136 @t134) @t133) (tptp.aElementOf0 @t5 @t132)))))) % 33.85/34.99 (define @t139 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 33.85/34.99 (define @t140 () (tptp.sdtlpdtrp0 @t139 @t5)) % 33.85/34.99 (define @t141 () (tptp.szDzozmdt0 @t139)) % 33.85/34.99 (define @t142 () (tptp.aElementOf0 @t5 @t141)) % 33.85/34.99 (define @t143 () (or (and @t19 @t136) @t134)) % 33.85/34.99 (define @t144 () (tptp.sdtlcdtrc0 @t139 @t141)) % 33.85/34.99 (define @t145 () (tptp.aElementOf0 @t5 tptp.xT)) % 33.85/34.99 (define @t146 () (tptp.aElementOf0 @t5 @t144)) % 33.85/34.99 (define @t147 () (tptp.sdtlpdtrp0 @t139 @t15)) % 33.85/34.99 (define @t148 () (= @t147 @t5)) % 33.85/34.99 (define @t149 () (tptp.aSubsetOf0 @t15 @t109)) % 33.85/34.99 (define @t150 () (tptp.aElementOf0 @t29 @t109)) % 33.85/34.99 (define @t151 () (forall @t34 (=> @t33 @t150))) % 33.85/34.99 (define @t152 () (tptp.aElementOf0 @t29 @t107)) % 33.85/34.99 (define @t153 () (forall @t34 (= @t150 (and @t32 @t152 (not (= @t29 @t108)))))) % 33.85/34.99 (define @t154 () (forall @t34 (=> @t152 (tptp.sdtlseqdt0 @t108 @t29)))) % 33.85/34.99 (define @t155 () (= @t56 tptp.xk)) % 33.85/34.99 (define @t156 () (tptp.slbdtsldtrb0 @t106 tptp.xk)) % 33.85/34.99 (define @t157 () (tptp.aElementOf0 @t15 @t156)) % 33.85/34.99 (define @t158 () (tptp.aSubsetOf0 @t15 @t106)) % 33.85/34.99 (define @t159 () (tptp.aElementOf0 @t29 @t106)) % 33.85/34.99 (define @t160 () (forall @t34 (=> @t33 @t159))) % 33.85/34.99 (define @t161 () (or @t160 @t158)) % 33.85/34.99 (define @t162 () (and @t161 @t155)) % 33.85/34.99 (define @t163 () (or @t162 @t157)) % 33.85/34.99 (define @t164 () (and @t27 @t163)) % 33.85/34.99 (define @t165 () (=> @t164 @t148)) % 33.85/34.99 (define @t166 () (forall @t18 @t165)) % 33.85/34.99 (define @t167 () (and @t145 @t166)) % 33.85/34.99 (define @t168 () (exists @t8 @t167)) % 33.85/34.99 (define @t169 () (=> @t44 @t168)) % 33.85/34.99 (define @t170 () (forall @t3 @t169)) % 33.85/34.99 (define @t171 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 33.85/34.99 (define @t172 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 33.85/34.99 (define @t173 () (tptp.aElementOf0 @t5 @t156)) % 33.85/34.99 (define @t174 () (tptp.aSubsetOf0 @t5 @t106)) % 33.85/34.99 (define @t175 () (tptp.aElementOf0 @t15 @t106)) % 33.85/34.99 (define @t176 () (forall @t18 (=> @t17 @t175))) % 33.85/34.99 (define @t177 () (or @t176 @t174)) % 33.85/34.99 (define @t178 () (and @t177 @t133)) % 33.85/34.99 (define @t179 () (or @t178 @t173)) % 33.85/34.99 (define @t180 () (and @t19 @t179)) % 33.85/34.99 (define @t181 () (=> @t180 (= @t172 @t140))) % 33.85/34.99 (define @t182 () (forall @t8 @t181)) % 33.85/34.99 (define @t183 () (=> @t44 @t182)) % 33.85/34.99 (define @t184 () (forall @t3 @t183)) % 33.85/34.99 (define @t185 () (tptp.szDzozmdt0 tptp.xd)) % 33.85/34.99 (define @t186 () (tptp.sdtlcdtrc0 tptp.xd @t185)) % 33.85/34.99 (define @t187 () (tptp.sdtlpdtrp0 tptp.xd tptp.xi)) % 33.85/34.99 (define @t188 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 33.85/34.99 (define @t189 () (tptp.aElementOf0 @t1 tptp.xX)) % 33.85/34.99 (define @t190 () (exists @t3 @t189)) % 33.85/34.99 (define @t191 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xi))) % 33.85/34.99 (define @t192 () (tptp.slbdtsldtrb0 @t191 tptp.xk)) % 33.85/34.99 (define @t193 () (= @t53 tptp.xk)) % 33.85/34.99 (define @t194 () (tptp.aSubsetOf0 @t1 @t191)) % 33.85/34.99 (define @t195 () (tptp.aElementOf0 @t5 @t191)) % 33.85/34.99 (define @t196 () (forall @t8 (=> @t7 @t195))) % 33.85/34.99 (define @t197 () (and @t2 @t196)) % 33.85/34.99 (define @t198 () (or @t197 @t194)) % 33.85/34.99 (define @t199 () (and @t198 @t193)) % 33.85/34.99 (define @t200 () (=> @t199 @t189)) % 33.85/34.99 (define @t201 () (and @t2 @t196 @t194 @t193)) % 33.85/34.99 (define @t202 () (=> @t189 @t201)) % 33.85/34.99 (define @t203 () (and @t202 @t200)) % 33.85/34.99 (define @t204 () (forall @t3 @t203)) % 33.85/34.99 (define @t205 () (tptp.aElementOf0 tptp.xx tptp.xT)) % 33.85/34.99 (define @t206 () (not @t205)) % 33.85/34.99 (define @t207 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 33.85/34.99 (define @t208 () (tptp.sdtlpdtrp0 @t139 @t207)) % 33.85/34.99 (define @t209 () (= @t172 @t208)) % 33.85/34.99 (define @t210 () (not (tptp.aElementOf0 @t207 @t156))) % 33.85/34.99 (define @t211 () (tptp.sbrdtbr0 @t207)) % 33.85/34.99 (define @t212 () (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t207)) @t175))) (not (tptp.aSubsetOf0 @t207 @t106)))) % 33.85/34.99 (define @t213 () (and (or @t212 (not (= tptp.xk @t211))) @t210)) % 33.85/34.99 (define @t214 () (not (tptp.aSet0 @t207))) % 33.85/34.99 (define @t215 () (not @t44)) % 33.85/34.99 (define @t216 () (or @t215 @t214 @t213 @t209)) % 33.85/34.99 (define @t217 () (@list @t1 @t207)) % 33.85/34.99 (define @t218 () (not (= @t211 tptp.xk))) % 33.85/34.99 (define @t219 () (or @t212 @t218)) % 33.85/34.99 (define @t220 () (and @t219 @t210)) % 33.85/34.99 (define @t221 () (= @t208 @t172)) % 33.85/34.99 (define @t222 () (or @t215 @t214 @t220 @t221)) % 33.85/34.99 (define @t223 () (or @t214 @t220 @t221)) % 33.85/34.99 (define @t224 () (or @t215 @t223)) % 33.85/34.99 (define @t225 () (forall @t217 @t224)) % 33.85/34.99 (define @t226 () (@list @t207)) % 33.85/34.99 (define @t227 () (forall @t226 @t224)) % 33.85/34.99 (define @t228 () (forall @t226 @t223)) % 33.85/34.99 (define @t229 () (@list @t5)) % 33.85/34.99 (define @t230 () (or @t215 @t228)) % 33.85/34.99 (define @t231 () (= @t140 @t172)) % 33.85/34.99 (define @t232 () (not @t173)) % 33.85/34.99 (define @t233 () (not @t133)) % 33.85/34.99 (define @t234 () (forall @t18 (or (not @t17) @t175))) % 33.85/34.99 (define @t235 () (and (or (and (not @t234) (not @t174)) @t233) @t232)) % 33.85/34.99 (define @t236 () (not @t19)) % 33.85/34.99 (define @t237 () (or @t236 @t235 @t231)) % 33.85/34.99 (define @t238 () (forall @t8 @t237)) % 33.85/34.99 (define @t239 () (or @t234 @t174)) % 33.85/34.99 (define @t240 () (and @t239 @t133)) % 33.85/34.99 (define @t241 () (or @t240 @t173)) % 33.85/34.99 (define @t242 () (and @t19 @t241)) % 33.85/34.99 (define @t243 () (forall @t3 (not (tptp.aElementOf0 @t1 @t192)))) % 33.85/34.99 (define @t244 () (@quantifiers_skolemize @t243 0)) % 33.85/34.99 (define @t245 () (not @t189)) % 33.85/34.99 (define @t246 () (forall @t3 @t245)) % 33.85/34.99 (define @t247 () (not @t246)) % 33.85/34.99 (define @t248 () (tptp.aElementOf0 @t244 @t192)) % 33.85/34.99 (define @t249 () (not @t243)) % 33.85/34.99 (define @t250 () (not @t248)) % 33.85/34.99 (define @t251 () (not @t250)) % 33.85/34.99 (define @t252 () (@list true)) % 33.85/34.99 (define @t253 () (tptp.sbrdtbr0 @t244)) % 33.85/34.99 (define @t254 () (= tptp.xk @t253)) % 33.85/34.99 (define @t255 () (not @t254)) % 33.85/34.99 (define @t256 () (tptp.aSubsetOf0 @t244 @t191)) % 33.85/34.99 (define @t257 () (not @t256)) % 33.85/34.99 (define @t258 () (and (or (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t244)) (tptp.aElementOf0 @t15 @t191)))) @t257) @t255) @t250)) % 33.85/34.99 (define @t259 () (not @t258)) % 33.85/34.99 (define @t260 () (@list false)) % 33.85/34.99 (define @t261 () (@list @t248)) % 33.85/34.99 (define @t262 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 33.85/34.99 (define @t263 () (tptp.aElementOf0 @t262 tptp.xX)) % 33.85/34.99 (define @t264 () (tptp.sbrdtbr0 @t262)) % 33.85/34.99 (define @t265 () (not (= tptp.xk @t264))) % 33.85/34.99 (define @t266 () (and (or (not (tptp.aSet0 @t262)) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t262)) @t195)))) (not (tptp.aSubsetOf0 @t262 @t191)))) % 33.85/34.99 (define @t267 () (or @t266 @t265 @t263)) % 33.85/34.99 (define @t268 () (@list @t262)) % 33.85/34.99 (define @t269 () (forall @t268 @t267)) % 33.85/34.99 (define @t270 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 33.85/34.99 (define @t271 () (tptp.sbrdtbr0 @t270)) % 33.85/34.99 (define @t272 () (= tptp.xk @t271)) % 33.85/34.99 (define @t273 () (tptp.aSubsetOf0 @t270 @t191)) % 33.85/34.99 (define @t274 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 33.85/34.99 (define @t275 () (or (not (tptp.aElementOf0 @t274 @t270)) (tptp.aElementOf0 @t274 @t191))) % 33.85/34.99 (define @t276 () (tptp.aSet0 @t270)) % 33.85/34.99 (define @t277 () (and @t276 @t275 @t273 @t272)) % 33.85/34.99 (define @t278 () (tptp.aElementOf0 @t270 tptp.xX)) % 33.85/34.99 (define @t279 () (not @t278)) % 33.85/34.99 (define @t280 () (or @t279 @t277)) % 33.85/34.99 (define @t281 () (forall (@list @t270 @t274) @t280)) % 33.85/34.99 (define @t282 () (not (= @t264 tptp.xk))) % 33.85/34.99 (define @t283 () (or @t266 @t282 @t263)) % 33.85/34.99 (define @t284 () (forall @t268 @t283)) % 33.85/34.99 (define @t285 () (@list @t274)) % 33.85/34.99 (define @t286 () (forall @t285 @t280)) % 33.85/34.99 (define @t287 () (@list @t270)) % 33.85/34.99 (define @t288 () (forall @t285 @t272)) % 33.85/34.99 (define @t289 () (forall @t285 @t273)) % 33.85/34.99 (define @t290 () (forall @t285 @t275)) % 33.85/34.99 (define @t291 () (forall @t285 @t276)) % 33.85/34.99 (define @t292 () (and @t291 @t290 @t289 @t288)) % 33.85/34.99 (define @t293 () (forall @t285 @t277)) % 33.85/34.99 (define @t294 () (or @t279 @t293)) % 33.85/34.99 (define @t295 () (forall @t8 (or (not (tptp.aElementOf0 @t5 @t270)) @t195))) % 33.85/34.99 (define @t296 () (and @t276 @t295 @t273 (= @t271 tptp.xk))) % 33.85/34.99 (define @t297 () (or @t279 @t296)) % 33.85/34.99 (define @t298 () (forall @t287 @t297)) % 33.85/34.99 (define @t299 () (not @t193)) % 33.85/34.99 (define @t300 () (not @t194)) % 33.85/34.99 (define @t301 () (forall @t8 (or @t54 @t195))) % 33.85/34.99 (define @t302 () (and (or (not @t2) (not @t301)) @t300)) % 33.85/34.99 (define @t303 () (or @t302 @t299 @t189)) % 33.85/34.99 (define @t304 () (forall @t3 @t303)) % 33.85/34.99 (define @t305 () (@list @t1)) % 33.85/34.99 (define @t306 () (and @t2 @t301 @t194 @t193)) % 33.85/34.99 (define @t307 () (or @t245 @t306)) % 33.85/34.99 (define @t308 () (forall @t3 @t307)) % 33.85/34.99 (define @t309 () (and @t308 @t304)) % 33.85/34.99 (define @t310 () (and @t2 @t301)) % 33.85/34.99 (define @t311 () (or @t310 @t194)) % 33.85/34.99 (define @t312 () (and @t311 @t193)) % 33.85/34.99 (define @t313 () (and (=> @t189 @t306) (=> @t312 @t189))) % 33.85/34.99 (define @t314 () (tptp.aSet0 @t244)) % 33.85/34.99 (define @t315 () (and @t314 (or (not (tptp.aElementOf0 tptp.sz00 @t244)) (tptp.aElementOf0 tptp.sz00 @t191)) @t256 @t254)) % 33.85/34.99 (define @t316 () (or @t250 @t315)) % 33.85/34.99 (define @t317 () (@list false false)) % 33.85/34.99 (define @t318 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi)) % 33.85/34.99 (define @t319 () (tptp.sdtlpdtrp0 @t318 @t244)) % 33.85/34.99 (define @t320 () (= @t187 @t319)) % 33.85/34.99 (define @t321 () (not @t314)) % 33.85/34.99 (define @t322 () (tptp.aElementOf0 tptp.xi @t120)) % 33.85/34.99 (define @t323 () (not @t322)) % 33.85/34.99 (define @t324 () (or @t323 @t321 @t258 @t320)) % 33.85/34.99 (define @t325 () (= @t5 @t147)) % 33.85/34.99 (define @t326 () (not @t157)) % 33.85/34.99 (define @t327 () (not @t155)) % 33.85/34.99 (define @t328 () (not @t33)) % 33.85/34.99 (define @t329 () (forall @t34 (or @t328 @t159))) % 33.85/34.99 (define @t330 () (and (or (and (not @t329) (not @t158)) @t327) @t326)) % 33.85/34.99 (define @t331 () (not @t27)) % 33.85/34.99 (define @t332 () (or @t331 @t330 @t325)) % 33.85/34.99 (define @t333 () (forall @t18 @t332)) % 33.85/34.99 (define @t334 () (not @t145)) % 33.85/34.99 (define @t335 () (not (forall @t8 (or @t334 (not @t333))))) % 33.85/34.99 (define @t336 () (or @t215 @t335)) % 33.85/34.99 (define @t337 () (and @t145 @t333)) % 33.85/34.99 (define @t338 () (forall @t8 (not @t337))) % 33.85/34.99 (define @t339 () (not @t338)) % 33.85/34.99 (define @t340 () (or @t329 @t158)) % 33.85/34.99 (define @t341 () (and @t340 @t155)) % 33.85/34.99 (define @t342 () (or @t341 @t157)) % 33.85/34.99 (define @t343 () (and @t27 @t342)) % 33.85/34.99 (define @t344 () (tptp.sdtlpdtrp0 @t318 @t15)) % 33.85/34.99 (define @t345 () (tptp.aElementOf0 @t29 @t191)) % 33.85/34.99 (define @t346 () (and (or (and (not (forall @t34 (or @t328 @t345))) (not (tptp.aSubsetOf0 @t15 @t191))) @t327) (not (tptp.aElementOf0 @t15 @t192)))) % 33.85/34.99 (define @t347 () (forall @t8 (or @t334 (not (forall @t18 (or @t331 @t346 (= @t5 @t344))))))) % 33.85/34.99 (define @t348 () (not @t347)) % 33.85/34.99 (define @t349 () (or @t323 @t348)) % 33.85/34.99 (define @t350 () (@quantifiers_skolemize @t347 0)) % 33.85/34.99 (define @t351 () (forall @t18 (or @t331 @t346 (= @t344 @t350)))) % 33.85/34.99 (define @t352 () (not @t351)) % 33.85/34.99 (define @t353 () (tptp.aElementOf0 @t350 tptp.xT)) % 33.85/34.99 (define @t354 () (not @t353)) % 33.85/34.99 (define @t355 () (or @t354 @t352)) % 33.85/34.99 (define @t356 () (not @t355)) % 33.85/34.99 (define @t357 () (or @t331 @t346 (= @t350 @t344))) % 33.85/34.99 (define @t358 () (forall @t18 @t357)) % 33.85/34.99 (define @t359 () (not @t358)) % 33.85/34.99 (define @t360 () (or @t354 @t359)) % 33.85/34.99 (define @t361 () (not @t360)) % 33.85/34.99 (define @t362 () (@list @t355)) % 33.85/34.99 (define @t363 () (= @t319 @t350)) % 33.85/34.99 (define @t364 () (not (= @t253 tptp.xk))) % 33.85/34.99 (define @t365 () (and (not (forall @t34 (or (not (tptp.aElementOf0 @t29 @t244)) @t345))) @t257)) % 33.85/34.99 (define @t366 () (or @t365 @t364)) % 33.85/34.99 (define @t367 () (and @t366 @t250)) % 33.85/34.99 (define @t368 () (or @t321 @t367 @t363)) % 33.85/34.99 (define @t369 () (and (or @t365 @t255) @t250)) % 33.85/34.99 (define @t370 () (or @t321 @t369 @t363)) % 33.85/34.99 (define @t371 () (not @t369)) % 33.85/34.99 (assume @p1 (forall @t3 (=> @t2 true))) % 33.85/34.99 (assume @p2 (forall @t3 (=> @t4 true))) % 33.85/34.99 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 33.85/34.99 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 33.85/34.99 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 33.85/34.99 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 33.85/34.99 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 33.85/34.99 (assume @p8 (forall @t3 (=> @t13 @t12))) % 33.85/34.99 (assume @p9 (forall @t3 (=> @t13 @t14))) % 33.85/34.99 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 33.85/34.99 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 33.85/34.99 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 33.85/34.99 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 33.85/34.99 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 33.85/34.99 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 33.85/34.99 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 33.85/34.99 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 33.85/34.99 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 33.85/34.99 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 33.85/34.99 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 33.85/34.99 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 33.85/34.99 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 33.85/34.99 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 33.85/34.99 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 33.85/34.99 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 33.85/34.99 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 33.85/34.99 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 33.85/34.99 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 33.85/34.99 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 33.85/34.99 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 33.85/34.99 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 33.85/34.99 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 33.85/34.99 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 33.85/34.99 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 33.85/34.99 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 33.85/34.99 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 33.85/34.99 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 33.85/34.99 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 33.85/34.99 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 33.85/34.99 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 33.85/34.99 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 33.85/34.99 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 33.85/34.99 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> @t54 (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 33.85/34.99 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 33.85/34.99 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t55 @t53)))))) % 33.85/34.99 (assume @p46 (forall @t25 (=> @t57 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t56 @t5))))))) % 33.85/34.99 (assume @p47 (forall @t3 (=> (and @t59 @t14) (forall @t8 (= (= @t5 @t58) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 33.85/34.99 (assume @p48 (forall @t3 (=> (and @t59 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 33.85/34.99 (assume @p49 (forall @t25 (=> (and @t59 @t61 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t58 @t5) (tptp.aElementOf0 @t60 @t1)) (= @t58 @t60))))) % 33.85/34.99 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t62) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 33.85/34.99 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t62)))) % 33.85/34.99 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 33.85/34.99 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t63) @t23))))) % 33.85/34.99 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t62 @t63))))) % 33.85/34.99 (assume @p55 (forall @t3 (=> (and @t59 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t63)))))) % 33.85/34.99 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t62) @t1)))) % 33.85/34.99 (assume @p57 (forall @t25 (=> @t57 (forall @t18 (= (= @t15 @t66) (and @t27 (forall @t34 (= @t33 (and @t65 (= @t64 @t5)))))))))) % 33.85/34.99 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t66)))))) % 33.85/34.99 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t66 tptp.slcrc0))))))) % 33.85/34.99 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 33.85/34.99 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t67 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t67 tptp.slcrc0))) @t26)))))) % 33.85/34.99 (assume @p62 (forall @t25 (=> @t57 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t66) (tptp.isFinite0 @t15)) (exists @t34 (and @t65 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 33.85/34.99 (assume @p63 (forall @t3 (=> @t68 true))) % 33.85/34.99 (assume @p64 (forall @t3 (=> @t68 (tptp.aSet0 @t69)))) % 33.85/34.99 (assume @p65 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElement0 @t70)))))) % 33.85/34.99 (assume @p66 (forall @t25 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (and @t73 (= @t72 @t5)))))))))) % 33.85/34.99 (assume @p67 (forall @t25 (=> @t75 (tptp.aSubsetOf0 @t74 @t69)))) % 33.85/34.99 (assume @p68 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 @t79) (and @t27 (forall @t34 (= @t33 (exists @t78 (and @t77 (= (tptp.sdtlpdtrp0 @t1 @t76) @t29))))))))))))) % 33.85/34.99 (assume @p69 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElementOf0 @t70 @t81)))))) % 33.85/34.99 (assume @p70 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t84 (= @t83 @t5) (forall @t34 (=> @t82 (= (tptp.sdtlpdtrp0 @t15 @t29) @t72))))))))))) % 33.85/34.99 (assume @p71 (forall @t3 (=> @t68 (forall @t8 (=> (and @t80 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t69) @t73 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t72)))) (tptp.isCountable0 @t79))))))) % 33.85/34.99 (assume @p72 (forall @t3 (=> @t68 (=> (and (tptp.isCountable0 @t69) (tptp.isFinite0 @t81)) (and (tptp.aElement0 @t85) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t85))))))) % 33.85/34.99 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 33.85/34.99 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 33.85/34.99 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 33.85/34.99 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t90 (and @t2 @t93 @t92 @t91)) (=> (and (or (and @t2 @t93) @t92) @t91) @t90))) (= @t86 @t89) (tptp.aSet0 @t87) (forall @t3 (= @t88 (exists @t8 (and (tptp.aElementOf0 @t5 @t86) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t88 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t87 tptp.xT))) % 33.85/34.99 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t61) @t39) (forall @t18 (=> (and @t84 (or (forall @t34 (and (=> @t100 (and (or (and @t105 @t104) @t102) @t101)) (=> (and @t105 @t104 @t102 @t101) @t100))) (= @t83 @t67)) (=> (and (tptp.aSet0 @t98) (forall @t34 (= @t99 (exists @t78 (and (tptp.aElementOf0 @t76 @t83) (= (tptp.sdtlpdtrp0 @t15 @t76) @t29)))))) (or (forall @t34 (=> @t99 @t97)) (tptp.aSubsetOf0 @t98 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t97 (exists @t78 (and (tptp.aSet0 @t76) (forall @t96 (=> (tptp.aElementOf0 @t94 @t76) (tptp.aElementOf0 @t94 @t5))) (tptp.aSubsetOf0 @t76 @t5) (tptp.isCountable0 @t76) (forall @t96 (=> (or (and (or (and (tptp.aSet0 @t94) (forall (@list @t95) (=> (tptp.aElementOf0 @t95 @t94) (tptp.aElementOf0 @t95 @t76)))) (tptp.aSubsetOf0 @t94 @t76)) (= (tptp.sbrdtbr0 @t94) @t1)) (tptp.aElementOf0 @t94 (tptp.slbdtsldtrb0 @t76 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t94) @t29))))))))))))))) % 33.85/34.99 (assume @p78 (not (= tptp.xK tptp.sz00))) % 33.85/34.99 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 33.85/34.99 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t120 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t119 @t118) @t117) @t116) (and @t115 @t114 @t113 @t112 (tptp.aSet0 @t106) (forall @t8 (=> (tptp.aElementOf0 @t5 @t106) @t110)) (tptp.aSubsetOf0 @t106 @t109) (tptp.isCountable0 @t106))))))) % 33.85/34.99 (assume @p81 (forall @t3 (=> @t44 (and @t119 @t118 @t117 @t116)))) % 33.85/34.99 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t123 @t122)) (tptp.aSubsetOf0 @t107 @t121)))))) % 33.85/34.99 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t126 (or (and (tptp.aElementOf0 @t108 @t121) (forall @t18 (=> @t122 @t124))) (= @t108 (tptp.szmzizndt0 @t121)))))))) % 33.85/34.99 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t138 (and @t115 @t125 (tptp.aSet0 @t127) @t131 (forall @t18 (=> @t128 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t127 tptp.xS) (= (tptp.sbrdtbr0 @t127) tptp.xK) (tptp.aElementOf0 @t127 @t89))))))) % 33.85/34.99 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t139) @t115 @t114 @t113 @t112 (forall @t8 (and (=> @t142 (and @t19 @t136 @t134 @t133)) (=> (and @t143 @t133) @t142))) (= @t141 @t132) (forall @t8 (=> @t138 (and @t115 @t125 @t131 (= @t140 (tptp.sdtlpdtrp0 tptp.xc @t127)))))))))) % 33.85/34.99 (assume @p86 (forall @t3 (=> @t44 (and (tptp.aSet0 @t144) (forall @t8 (= @t146 (exists @t18 (and (tptp.aElementOf0 @t15 @t141) @t148)))) (forall @t8 (=> @t146 @t145)) (tptp.aSubsetOf0 @t144 tptp.xT))))) % 33.85/34.99 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (=> @t126 (=> @t137 @t143)) @t39) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t82)) (tptp.aSubsetOf0 @t15 @t5)) @t155) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t115 @t154 @t113 @t153 @t151 @t149 (tptp.aElementOf0 @t15 @t132))))))))) % 33.85/34.99 (assume @p88 (forall @t3 (=> @t44 (exists @t8 (and @t145 (exists @t18 (and @t115 @t154 @t113 @t153 @t27 @t151 @t149 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t105 (or (and (or (forall @t78 (=> @t103 (tptp.aElementOf0 @t76 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t64 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t139 @t29) @t5)))))))))) % 33.85/34.99 (assume @p89 @t170) % 33.85/34.99 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t171 @t107) (forall @t8 (=> @t111 (tptp.sdtlseqdt0 @t171 @t5))) (= @t171 @t108)))))) % 33.85/34.99 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t185 tptp.szNzAzT0) @t184)) % 33.85/34.99 (assume @p92 (and (tptp.aSet0 @t186) (forall @t3 (= (tptp.aElementOf0 @t1 @t186) (exists @t8 (and (tptp.aElementOf0 @t5 @t185) (= (tptp.sdtlpdtrp0 tptp.xd @t5) @t1))))))) % 33.85/34.99 (assume @p93 (and (exists @t3 (and (tptp.aElementOf0 @t1 @t185) (= @t172 tptp.xx))) (tptp.aElementOf0 tptp.xx @t186))) % 33.85/34.99 (assume @p94 (and @t188 (= @t187 tptp.xx))) % 33.85/34.99 (assume @p95 (and (tptp.aSet0 tptp.xX) @t204 (= tptp.xX @t192) (not (not @t190)))) % 33.85/34.99 (assume @p96 @t206) % 33.85/34.99 (assume @p97 true) % 33.85/34.99 (step @p98 :rule evaluate :args ((= true false))) % 33.85/34.99 (step @p99 :rule refl :args (tptp.xT)) % 33.85/34.99 (step @p100 :rule and_elim :premises (@p94) :args (1)) % 33.85/34.99 (step @p101 :rule symm :premises (@p100)) % 33.85/34.99 (step @p102 :rule cong :premises (@p101 @p99) :args (@t205)) % 33.85/34.99 (step @p103 :rule cong :premises (@p102) :args (@t206)) % 33.85/34.99 (step @p104 :rule eq_resolve :premises (@p96 @p103)) % 33.85/34.99 (step @p105 :rule false_intro :premises (@p104)) % 33.85/34.99 (step @p106 :rule refl :args (@t209)) % 33.85/34.99 (step @p107 :rule refl :args (@t213)) % 33.85/34.99 (step @p108 :rule refl :args (@t214)) % 33.85/34.99 (step @p109 :rule and_elim :premises (@p80) :args (1)) % 33.85/34.99 (step @p110 :rule symm :premises (@p109)) % 33.85/34.99 (step @p111 :rule refl :args (@t1)) % 33.85/34.99 (step @p112 :rule cong :premises (@p111 @p110) :args (@t44)) % 33.85/34.99 (step @p113 :rule cong :premises (@p112) :args (@t215)) % 33.85/34.99 (step @p114 :rule nary_cong :premises (@p113 @p108 @p107 @p106) :args (@t216)) % 33.85/34.99 (step @p115 :rule cong :premises (@p114) :args ((forall @t217 @t216))) % 33.85/34.99 (step @p116 :rule eq-symm :args (@t208 @t172)) % 33.85/34.99 (step @p117 :rule refl :args (@t210)) % 33.85/34.99 (step @p118 :rule eq-symm :args (@t211 tptp.xk)) % 33.85/34.99 (step @p119 :rule cong :premises (@p118) :args (@t218)) % 33.85/34.99 (step @p120 :rule refl :args (@t212)) % 33.85/34.99 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t219)) % 33.85/34.99 (step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t220)) % 33.85/34.99 (step @p123 :rule refl :args (@t215)) % 33.85/34.99 (step @p124 :rule nary_cong :premises (@p123 @p108 @p122 @p116) :args (@t222)) % 33.85/34.99 (step @p125 :rule aci_norm :args ((= @t224 @t222))) % 33.85/34.99 (step @p126 :rule trans :premises (@p125 @p124)) % 33.85/34.99 (step @p127 :rule cong :premises (@p126) :args (@t225)) % 33.85/34.99 (step @p128 :rule quant-merge-prenex :args ((= (forall @t3 @t227) @t225))) % 33.85/34.99 (step @p129 :rule alpha_equiv :args (@t228 (@list @t207) @t229)) % 33.85/34.99 (step @p130 :rule refl :args (@t215)) % 33.85/34.99 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t230)) % 33.85/34.99 (step @p132 :rule quant-miniscope-or :args ((= @t227 @t230))) % 33.85/34.99 (step @p133 :rule trans :premises (@p132 @p131)) % 33.85/34.99 (step @p134 :rule symm :premises (@p133)) % 33.85/34.99 (step @p135 :rule cong :premises (@p134) :args ((forall @t3 (or @t215 @t238)))) % 33.85/34.99 (step @p136 :rule trans :premises (@p135 @p128)) % 33.85/34.99 (step @p137 :rule trans :premises (@p136 @p127)) % 33.85/34.99 (step @p138 :rule bool-impl-elim :args (@t44 @t238)) % 33.85/34.99 (step @p139 :rule cong :premises (@p138) :args ((forall @t3 (=> @t44 @t238)))) % 33.85/34.99 (step @p140 :rule trans :premises (@p139 @p137)) % 33.85/34.99 (step @p141 :rule aci_norm :args ((= (or (or @t236 @t235) @t231) @t237))) % 33.85/34.99 (step @p142 :rule refl :args (@t231)) % 33.85/34.99 (step @p143 :rule refl :args (@t232)) % 33.85/34.99 (step @p144 :rule refl :args (@t233)) % 33.85/34.99 (step @p145 :rule bool-or-de-morgan :args (@t234 @t174 false)) % 33.85/34.99 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t239) @t233))) % 33.85/34.99 (step @p147 :rule bool-and-de-morgan :args (@t239 @t133 true)) % 33.85/34.99 (step @p148 :rule trans :premises (@p147 @p146)) % 33.85/34.99 (step @p149 :rule nary_cong :premises (@p148 @p143) :args ((and (not @t240) @t232))) % 33.85/34.99 (step @p150 :rule bool-or-de-morgan :args (@t240 @t173 false)) % 33.85/34.99 (step @p151 :rule trans :premises (@p150 @p149)) % 33.85/34.99 (step @p152 :rule refl :args (@t236)) % 33.85/34.99 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t236 (not @t241)))) % 33.85/34.99 (step @p154 :rule bool-and-de-morgan :args (@t19 @t241 true)) % 33.85/34.99 (step @p155 :rule trans :premises (@p154 @p153)) % 33.85/34.99 (step @p156 :rule nary_cong :premises (@p155 @p142) :args ((or (not @t242) @t231))) % 33.85/34.99 (step @p157 :rule trans :premises (@p156 @p141)) % 33.85/34.99 (step @p158 :rule bool-impl-elim :args (@t242 @t231)) % 33.85/34.99 (step @p159 :rule trans :premises (@p158 @p157)) % 33.85/34.99 (step @p160 :rule cong :premises (@p159) :args ((forall @t8 (=> @t242 @t231)))) % 33.85/34.99 (step @p161 :rule eq-symm :args (@t172 @t140)) % 33.85/34.99 (step @p162 :rule refl :args (@t173)) % 33.85/34.99 (step @p163 :rule refl :args (@t133)) % 33.85/34.99 (step @p164 :rule refl :args (@t174)) % 33.85/34.99 (step @p165 :rule bool-impl-elim :args (@t17 @t175)) % 33.85/34.99 (step @p166 :rule cong :premises (@p165) :args (@t176)) % 33.85/34.99 (step @p167 :rule nary_cong :premises (@p166 @p164) :args (@t177)) % 33.85/34.99 (step @p168 :rule nary_cong :premises (@p167 @p163) :args (@t178)) % 33.85/34.99 (step @p169 :rule nary_cong :premises (@p168 @p162) :args (@t179)) % 33.85/34.99 (step @p170 :rule refl :args (@t19)) % 33.85/34.99 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t180)) % 33.85/34.99 (step @p172 :rule cong :premises (@p171 @p161) :args (@t181)) % 33.85/34.99 (step @p173 :rule cong :premises (@p172) :args (@t182)) % 33.85/34.99 (step @p174 :rule trans :premises (@p173 @p160)) % 33.85/34.99 (step @p175 :rule refl :args (@t44)) % 33.85/34.99 (step @p176 :rule cong :premises (@p175 @p174) :args (@t183)) % 33.85/34.99 (step @p177 :rule cong :premises (@p176) :args (@t184)) % 33.85/34.99 (step @p178 :rule trans :premises (@p177 @p140)) % 33.85/34.99 (step @p179 :rule trans :premises (@p178 @p115)) % 33.85/34.99 (step @p180 :rule and_elim :premises (@p91) :args (2)) % 33.85/34.99 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 33.85/34.99 (step @p182 :rule instantiate :premises (@p181) :args ((@list tptp.xi @t244))) % 33.85/34.99 (step @p183 :rule and_elim :premises (@p95) :args (2)) % 33.85/34.99 (step @p184 :rule cong :premises (@p111 @p183) :args (@t189)) % 33.85/34.99 (step @p185 :rule cong :premises (@p184) 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(@t351)) % 33.85/34.99 (step @p393 :rule refl :args (@t355)) % 33.85/34.99 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t355 (not @t352)))) % 33.85/34.99 (step @p395 :rule cnf_or_neg :args (@t355 1)) % 33.85/34.99 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 33.85/34.99 (step @p397 :rule reordering :premises (@p396) :args ((or @t351 @t355))) % 33.85/34.99 (step @p398 :rule chain_m_resolution :premises (@p397 @p391) :args (@t351 @t252 @t362)) % 33.85/34.99 (step @p399 :rule refl :args (@t363)) % 33.85/34.99 (step @p400 :rule refl :args (@t250)) % 33.85/34.99 (step @p401 :rule eq-symm :args (@t253 tptp.xk)) % 33.85/34.99 (step @p402 :rule cong :premises (@p401) :args (@t364)) % 33.85/34.99 (step @p403 :rule refl :args (@t365)) % 33.85/34.99 (step @p404 :rule nary_cong :premises (@p403 @p402) :args (@t366)) % 33.85/34.99 (step @p405 :rule nary_cong :premises (@p404 @p400) :args (@t367)) % 33.85/34.99 (step @p406 :rule refl :args (@t321)) % 33.85/34.99 (step @p407 :rule nary_cong :premises (@p406 @p405 @p399) :args (@t368)) % 33.85/34.99 (step @p408 :rule refl :args (@t351)) % 33.85/34.99 (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t351 @t368))) % 33.85/34.99 (assume-push @p440 @t351) % 33.85/34.99 (step @p411 :rule instantiate :premises (@p398) :args ((@list @t244))) % 33.85/34.99 (step-pop @p441 :rule scope :premises (@p411)) % 33.85/34.99 (step @p412 :rule process_scope :premises (@p441) :args (@t368)) % 33.85/34.99 (step @p414 :rule eq_resolve :premises (@p412 @p409)) % 33.85/34.99 (step @p415 :rule implies_elim :premises (@p414)) % 33.85/34.99 (step @p416 :rule chain_m_resolution :premises (@p415 @p398) :args (@t370 @t260 (@list @t351))) % 33.85/34.99 (step @p417 :rule cnf_and_pos :args (@t369 1)) % 33.85/34.99 (step @p418 :rule reordering :premises (@p417) :args ((or @t250 @t371))) % 33.85/34.99 (step @p419 :rule chain_m_resolution :premises (@p418 @p207) :args (@t371 @t260 @t261)) % 33.85/34.99 (step @p420 :rule cnf_or_pos :args (@t370)) % 33.85/34.99 (step @p421 :rule reordering :premises (@p420) :args ((or @t321 @t363 @t369 (not @t370)))) % 33.85/34.99 (step @p422 :rule chain_m_resolution :premises (@p421 @p304 @p419 @p416) :args (@t363 (@list false true false) (@list @t314 @t369 @t370))) % 33.85/34.99 (step @p423 :rule symm :premises (@p422)) % 33.85/34.99 (step @p424 :rule trans :premises (@p423 @p312)) % 33.85/34.99 (step @p425 :rule cong :premises (@p424 @p99) :args (@t353)) % 33.85/34.99 (step @p426 :rule bool-double-not-elim :args (@t353)) % 33.85/34.99 (step @p427 :rule nary_cong :premises (@p393 @p426) :args ((or @t355 (not @t354)))) % 33.85/34.99 (step @p428 :rule cnf_or_neg :args (@t355 0)) % 33.85/34.99 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 33.85/34.99 (step @p430 :rule reordering :premises (@p429) :args ((or @t353 @t355))) % 33.85/34.99 (step @p431 :rule chain_m_resolution :premises (@p430 @p391) :args (@t353 @t252 @t362)) % 33.85/34.99 (step @p432 :rule true_intro :premises (@p431)) % 33.85/34.99 (step @p433 :rule symm :premises (@p432)) % 33.85/34.99 (step @p434 :rule trans :premises (@p433 @p425 @p105)) % 33.85/34.99 (step @p435 false :rule eq_resolve :premises (@p434 @p98)) % 33.85/34.99 ) % 33.85/34.99 % SZS output end Proof % 33.85/34.99 % cvc5 exiting %------------------------------------------------------------------------------