%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM612+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 : 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 08:40:01 AM UTC 2026 % Result : Theorem 0.39s 0.76s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM612+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 11:36:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.76 % SZS status Theorem % 0.39/0.76 % SZS output start Proof % 0.39/0.76 ( % 0.39/0.76 (declare-sort $$unsorted 0) % 0.39/0.76 (declare-const tptp.xQ $$unsorted) % 0.39/0.76 (declare-const tptp.xN $$unsorted) % 0.39/0.76 (declare-const tptp.sz00 $$unsorted) % 0.39/0.76 (declare-const tptp.xC $$unsorted) % 0.39/0.76 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.szNzAzT0 $$unsorted) % 0.39/0.76 (declare-const tptp.xk $$unsorted) % 0.39/0.76 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.xd $$unsorted) % 0.39/0.76 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.xP $$unsorted) % 0.39/0.76 (declare-const tptp.xO $$unsorted) % 0.39/0.76 (declare-const tptp.xe $$unsorted) % 0.39/0.76 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.xK $$unsorted) % 0.39/0.76 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.xp $$unsorted) % 0.39/0.76 (declare-const tptp.xT $$unsorted) % 0.39/0.76 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.xS $$unsorted) % 0.39/0.76 (declare-const tptp.xc $$unsorted) % 0.39/0.76 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.slcrc0 $$unsorted) % 0.39/0.76 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.76 (define @t2 () (tptp.aSet0 @t1)) % 0.39/0.76 (define @t3 () (@list @t1)) % 0.39/0.76 (define @t4 () (tptp.aElement0 @t1)) % 0.39/0.76 (define @t5 () (@var "W1" $$unsorted)) % 0.39/0.76 (define @t6 () (tptp.aElement0 @t5)) % 0.39/0.76 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.39/0.76 (define @t8 () (@list @t5)) % 0.39/0.76 (define @t9 () (tptp.isFinite0 @t1)) % 0.39/0.76 (define @t10 () (= @t1 tptp.slcrc0)) % 0.39/0.76 (define @t11 () (tptp.isCountable0 @t1)) % 0.39/0.76 (define @t12 () (not @t9)) % 0.39/0.76 (define @t13 () (and @t2 @t11)) % 0.39/0.76 (define @t14 () (not @t10)) % 0.39/0.76 (define @t15 () (@var "W2" $$unsorted)) % 0.39/0.76 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.39/0.76 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.39/0.76 (define @t18 () (@list @t15)) % 0.39/0.76 (define @t19 () (tptp.aSet0 @t5)) % 0.39/0.76 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.39/0.76 (define @t21 () (tptp.isFinite0 @t5)) % 0.39/0.76 (define @t22 () (forall @t8 (=> @t20 @t21))) % 0.39/0.76 (define @t23 () (and @t2 @t9)) % 0.39/0.76 (define @t24 () (=> @t23 @t22)) % 0.39/0.76 (define @t25 () (forall @t3 @t24)) % 0.39/0.76 (define @t26 () (= @t1 @t5)) % 0.39/0.76 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 0.39/0.76 (define @t28 () (@list @t1 @t5)) % 0.39/0.76 (define @t29 () (tptp.aSubsetOf0 @t5 @t15)) % 0.39/0.76 (define @t30 () (tptp.aSet0 @t15)) % 0.39/0.76 (define @t31 () (@list @t1 @t5 @t15)) % 0.39/0.76 (define @t32 () (@var "W3" $$unsorted)) % 0.39/0.76 (define @t33 () (= @t32 @t5)) % 0.39/0.76 (define @t34 () (tptp.aElementOf0 @t32 @t1)) % 0.39/0.76 (define @t35 () (tptp.aElement0 @t32)) % 0.39/0.76 (define @t36 () (tptp.aElementOf0 @t32 @t15)) % 0.39/0.76 (define @t37 () (@list @t32)) % 0.39/0.76 (define @t38 () (tptp.sdtpldt0 @t1 @t5)) % 0.39/0.76 (define @t39 () (and @t2 @t6)) % 0.39/0.76 (define @t40 () (tptp.sdtmndt0 @t1 @t5)) % 0.39/0.76 (define @t41 () (tptp.sdtpldt0 @t5 @t1)) % 0.39/0.76 (define @t42 () (tptp.isCountable0 @t5)) % 0.39/0.76 (define @t43 () (and @t19 @t42)) % 0.39/0.76 (define @t44 () (tptp.sdtmndt0 @t5 @t1)) % 0.39/0.76 (define @t45 () (and @t19 @t21)) % 0.39/0.76 (define @t46 () (tptp.szszuzczcdt0 @t1)) % 0.39/0.76 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.39/0.76 (define @t48 () (tptp.szszuzczcdt0 @t5)) % 0.39/0.76 (define @t49 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.39/0.76 (define @t50 () (and @t47 @t49)) % 0.39/0.76 (define @t51 () (= @t1 tptp.sz00)) % 0.39/0.76 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.39/0.76 (define @t53 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.39/0.76 (define @t54 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.39/0.76 (define @t55 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.39/0.76 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.39/0.76 (define @t57 () (tptp.aElementOf0 @t56 tptp.szNzAzT0)) % 0.39/0.76 (define @t58 () (=> @t2 (= @t57 @t9))) % 0.39/0.76 (define @t59 () (forall @t3 @t58)) % 0.39/0.76 (define @t60 () (not @t7)) % 0.39/0.76 (define @t61 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t40))) % 0.39/0.76 (define @t62 () (and @t9 @t7)) % 0.39/0.76 (define @t63 () (=> @t62 (= @t61 @t56))) % 0.39/0.76 (define @t64 () (forall @t8 @t63)) % 0.39/0.76 (define @t65 () (=> @t2 @t64)) % 0.39/0.76 (define @t66 () (forall @t3 @t65)) % 0.39/0.76 (define @t67 () (tptp.sbrdtbr0 @t5)) % 0.39/0.76 (define @t68 () (tptp.sbrdtbr0 @t15)) % 0.39/0.76 (define @t69 () (and @t2 @t49)) % 0.39/0.76 (define @t70 () (tptp.szmzizndt0 @t1)) % 0.39/0.76 (define @t71 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.39/0.76 (define @t72 () (tptp.szmzizndt0 @t5)) % 0.39/0.76 (define @t73 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.39/0.76 (define @t74 () (tptp.slbdtrb0 @t1)) % 0.39/0.76 (define @t75 () (tptp.slbdtrb0 @t5)) % 0.39/0.76 (define @t76 () (tptp.sbrdtbr0 @t32)) % 0.39/0.76 (define @t77 () (tptp.aSubsetOf0 @t32 @t1)) % 0.39/0.76 (define @t78 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.39/0.76 (define @t79 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.39/0.76 (define @t80 () (tptp.aFunction0 @t1)) % 0.39/0.76 (define @t81 () (tptp.szDzozmdt0 @t1)) % 0.39/0.76 (define @t82 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.39/0.76 (define @t83 () (tptp.aElementOf0 @t5 @t81)) % 0.39/0.76 (define @t84 () (tptp.sdtlpdtrp0 @t1 @t32)) % 0.39/0.76 (define @t85 () (tptp.aElementOf0 @t32 @t81)) % 0.39/0.76 (define @t86 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.39/0.76 (define @t87 () (and @t80 @t6)) % 0.39/0.76 (define @t88 () (@var "W4" $$unsorted)) % 0.39/0.76 (define @t89 () (tptp.aElementOf0 @t88 @t5)) % 0.39/0.76 (define @t90 () (@list @t88)) % 0.39/0.76 (define @t91 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.39/0.76 (define @t92 () (tptp.aSubsetOf0 @t5 @t81)) % 0.39/0.76 (define @t93 () (tptp.sdtlcdtrc0 @t1 @t81)) % 0.39/0.76 (define @t94 () (tptp.aElementOf0 @t32 @t5)) % 0.39/0.76 (define @t95 () (tptp.szDzozmdt0 @t15)) % 0.39/0.76 (define @t96 () (tptp.aFunction0 @t15)) % 0.39/0.76 (define @t97 () (tptp.szDzizrdt0 @t1)) % 0.39/0.76 (define @t98 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.39/0.76 (define @t99 () (tptp.szDzozmdt0 tptp.xc)) % 0.39/0.76 (define @t100 () (tptp.sdtlcdtrc0 tptp.xc @t99)) % 0.39/0.76 (define @t101 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.39/0.76 (define @t102 () (tptp.aElementOf0 @t1 @t100)) % 0.39/0.76 (define @t103 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.39/0.76 (define @t104 () (tptp.aElementOf0 @t1 @t99)) % 0.39/0.76 (define @t105 () (= @t56 tptp.xK)) % 0.39/0.76 (define @t106 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.39/0.76 (define @t107 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.39/0.76 (define @t108 () (@var "W5" $$unsorted)) % 0.39/0.76 (define @t109 () (@var "W6" $$unsorted)) % 0.39/0.76 (define @t110 () (@list @t108)) % 0.39/0.76 (define @t111 () (tptp.aElementOf0 @t32 tptp.xT)) % 0.39/0.76 (define @t112 () (tptp.sdtlcdtrc0 @t15 @t95)) % 0.39/0.76 (define @t113 () (tptp.aElementOf0 @t32 @t112)) % 0.39/0.76 (define @t114 () (tptp.aElementOf0 @t32 @t95)) % 0.39/0.76 (define @t115 () (= @t76 @t1)) % 0.39/0.76 (define @t116 () (tptp.aSubsetOf0 @t32 @t5)) % 0.39/0.76 (define @t117 () (tptp.aElementOf0 @t88 @t32)) % 0.39/0.76 (define @t118 () (forall @t90 (=> @t117 @t89))) % 0.39/0.76 (define @t119 () (tptp.aSet0 @t32)) % 0.39/0.76 (define @t120 () (tptp.sdtlpdtrp0 tptp.xN @t46)) % 0.39/0.76 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.39/0.76 (define @t122 () (tptp.szmzizndt0 @t121)) % 0.39/0.76 (define @t123 () (tptp.sdtmndt0 @t121 @t122)) % 0.39/0.76 (define @t124 () (tptp.aElementOf0 @t5 @t123)) % 0.39/0.76 (define @t125 () (tptp.aElementOf0 @t5 @t121)) % 0.39/0.76 (define @t126 () (forall @t8 (= @t124 (and @t6 @t125 (not (= @t5 @t122)))))) % 0.39/0.76 (define @t127 () (tptp.aSet0 @t123)) % 0.39/0.76 (define @t128 () (forall @t8 (=> @t125 (tptp.sdtlseqdt0 @t122 @t5)))) % 0.39/0.76 (define @t129 () (tptp.aElementOf0 @t122 @t121)) % 0.39/0.76 (define @t130 () (tptp.isCountable0 @t121)) % 0.39/0.76 (define @t131 () (tptp.aSubsetOf0 @t121 tptp.szNzAzT0)) % 0.39/0.76 (define @t132 () (forall @t8 (=> @t125 @t49))) % 0.39/0.76 (define @t133 () (tptp.aSet0 @t121)) % 0.39/0.76 (define @t134 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.39/0.76 (define @t135 () (tptp.aElementOf0 @t15 @t134)) % 0.39/0.76 (define @t136 () (tptp.aElementOf0 @t15 @t121)) % 0.39/0.76 (define @t137 () (tptp.sdtlseqdt0 @t122 @t15)) % 0.39/0.76 (define @t138 () (forall @t18 (=> @t136 @t137))) % 0.39/0.76 (define @t139 () (and @t129 @t138)) % 0.39/0.76 (define @t140 () (tptp.sdtpldt0 @t5 @t122)) % 0.39/0.76 (define @t141 () (tptp.aElementOf0 @t15 @t140)) % 0.39/0.76 (define @t142 () (= @t15 @t122)) % 0.39/0.76 (define @t143 () (tptp.aElement0 @t15)) % 0.39/0.76 (define @t144 () (forall @t18 (= @t141 (and @t143 (or @t17 @t142))))) % 0.39/0.76 (define @t145 () (tptp.slbdtsldtrb0 @t123 tptp.xk)) % 0.39/0.76 (define @t146 () (= @t67 tptp.xk)) % 0.39/0.76 (define @t147 () (tptp.aSubsetOf0 @t5 @t123)) % 0.39/0.76 (define @t148 () (tptp.aElementOf0 @t15 @t123)) % 0.39/0.76 (define @t149 () (forall @t18 (=> @t17 @t148))) % 0.39/0.76 (define @t150 () (and @t127 (forall @t18 (= @t148 (and @t143 @t136 (not @t142)))))) % 0.39/0.76 (define @t151 () (and @t19 (=> @t139 (=> @t150 (or (and (or @t149 @t147) @t146) (tptp.aElementOf0 @t5 @t145)))))) % 0.39/0.76 (define @t152 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.39/0.76 (define @t153 () (tptp.sdtlpdtrp0 @t152 @t5)) % 0.39/0.76 (define @t154 () (tptp.szDzozmdt0 @t152)) % 0.39/0.76 (define @t155 () (tptp.aElementOf0 @t5 @t154)) % 0.39/0.76 (define @t156 () (or (and @t19 @t149) @t147)) % 0.39/0.76 (define @t157 () (tptp.sdtlcdtrc0 @t152 @t154)) % 0.39/0.76 (define @t158 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.39/0.76 (define @t159 () (tptp.aElementOf0 @t5 @t157)) % 0.39/0.76 (define @t160 () (= (tptp.sdtlpdtrp0 @t152 @t15) @t5)) % 0.39/0.76 (define @t161 () (tptp.aSubsetOf0 @t15 @t123)) % 0.39/0.76 (define @t162 () (tptp.aElementOf0 @t32 @t123)) % 0.39/0.76 (define @t163 () (forall @t37 (=> @t36 @t162))) % 0.39/0.76 (define @t164 () (tptp.aElementOf0 @t32 @t121)) % 0.39/0.76 (define @t165 () (forall @t37 (= @t162 (and @t35 @t164 (not (= @t32 @t122)))))) % 0.39/0.76 (define @t166 () (forall @t37 (=> @t164 (tptp.sdtlseqdt0 @t122 @t32)))) % 0.39/0.76 (define @t167 () (= @t68 tptp.xk)) % 0.39/0.76 (define @t168 () (tptp.slbdtsldtrb0 @t120 tptp.xk)) % 0.39/0.76 (define @t169 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.39/0.76 (define @t170 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.39/0.76 (define @t171 () (tptp.szDzozmdt0 tptp.xd)) % 0.39/0.76 (define @t172 () (tptp.sdtlcdtrc0 tptp.xd @t171)) % 0.39/0.76 (define @t173 () (tptp.aElementOf0 @t1 @t172)) % 0.39/0.76 (define @t174 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.39/0.76 (define @t175 () (tptp.szDzizrdt0 tptp.xd)) % 0.39/0.76 (define @t176 () (tptp.sdtlbdtrb0 tptp.xd @t175)) % 0.39/0.76 (define @t177 () (tptp.aElementOf0 @t1 @t176)) % 0.39/0.76 (define @t178 () (forall @t3 (= @t177 (and (tptp.aElementOf0 @t1 @t171) (= @t170 @t175))))) % 0.39/0.76 (define @t179 () (tptp.aSet0 @t176)) % 0.39/0.76 (define @t180 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 0.39/0.76 (define @t181 () (tptp.aElementOf0 @t5 @t176)) % 0.39/0.76 (define @t182 () (exists @t8 (and @t181 @t180))) % 0.39/0.76 (define @t183 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.39/0.76 (define @t184 () (tptp.aSet0 tptp.xO)) % 0.39/0.76 (define @t185 () (tptp.sbrdtbr0 tptp.xQ)) % 0.39/0.76 (define @t186 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.39/0.76 (define @t187 () (forall @t3 (=> @t186 @t183))) % 0.39/0.76 (define @t188 () (tptp.aSet0 tptp.xQ)) % 0.39/0.76 (define @t189 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 0.39/0.76 (define @t190 () (forall @t3 (=> @t186 @t98))) % 0.39/0.76 (define @t191 () (tptp.szmzizndt0 tptp.xQ)) % 0.39/0.76 (define @t192 () (= tptp.xp @t191)) % 0.39/0.76 (define @t193 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 0.39/0.76 (define @t194 () (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t191))) % 0.39/0.76 (define @t195 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.39/0.76 (define @t196 () (tptp.aSet0 tptp.xP)) % 0.39/0.76 (define @t197 () (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 0.39/0.76 (define @t198 () (tptp.sbrdtbr0 tptp.xP)) % 0.39/0.76 (define @t199 () (tptp.aElementOf0 @t198 tptp.szNzAzT0)) % 0.39/0.76 (define @t200 () (tptp.szszuzczcdt0 @t198)) % 0.39/0.76 (define @t201 () (and (= @t200 @t185) @t199)) % 0.39/0.76 (define @t202 () (not @t201)) % 0.39/0.76 (define @t203 () (@var "BOUND_VARIABLE_8901" $$unsorted)) % 0.39/0.76 (define @t204 () (= @t56 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t203))))) % 0.39/0.76 (define @t205 () (not (tptp.aElementOf0 @t203 @t1))) % 0.39/0.76 (define @t206 () (not @t2)) % 0.39/0.76 (define @t207 () (or @t205 @t204)) % 0.39/0.76 (define @t208 () (or @t206 @t12 @t207)) % 0.39/0.76 (define @t209 () (forall (@list @t1 @t203) @t208)) % 0.39/0.76 (define @t210 () (@list @t203)) % 0.39/0.76 (define @t211 () (forall @t210 @t208)) % 0.39/0.76 (define @t212 () (forall @t210 @t207)) % 0.39/0.76 (define @t213 () (@list @t5)) % 0.39/0.76 (define @t214 () (or @t206 @t12 @t212)) % 0.39/0.76 (define @t215 () (= @t56 @t61)) % 0.39/0.76 (define @t216 () (or @t60 @t215)) % 0.39/0.76 (define @t217 () (forall @t8 @t216)) % 0.39/0.76 (define @t218 () (or @t206 @t12 @t217)) % 0.39/0.76 (define @t219 () (or @t12 @t217)) % 0.39/0.76 (define @t220 () (or @t12 @t216)) % 0.39/0.76 (define @t221 () (or @t12 @t60 @t215)) % 0.39/0.76 (define @t222 () (= @t9 @t57)) % 0.39/0.76 (define @t223 () (tptp.aElementOf0 @t185 tptp.szNzAzT0)) % 0.39/0.76 (define @t224 () (tptp.isFinite0 tptp.xQ)) % 0.39/0.76 (define @t225 () (= @t224 @t223)) % 0.39/0.76 (define @t226 () (not @t188)) % 0.39/0.76 (define @t227 () (or @t226 @t225)) % 0.39/0.76 (define @t228 () (@list false false)) % 0.39/0.76 (define @t229 () (tptp.sdtmndt0 tptp.xQ tptp.xp)) % 0.39/0.76 (define @t230 () (tptp.sbrdtbr0 @t229)) % 0.39/0.76 (define @t231 () (tptp.szszuzczcdt0 @t230)) % 0.39/0.76 (define @t232 () (= @t185 @t231)) % 0.39/0.76 (define @t233 () (not @t193)) % 0.39/0.76 (define @t234 () (not @t224)) % 0.39/0.76 (define @t235 () (or @t226 @t234 @t233 @t232)) % 0.39/0.76 (define @t236 () (@list false false false false)) % 0.39/0.76 (define @t237 () (tptp.isFinite0 tptp.xP)) % 0.39/0.76 (define @t238 () (not @t196)) % 0.39/0.76 (define @t239 () (or @t238 (= @t237 @t199))) % 0.39/0.76 (define @t240 () (forall @t3 (or @t206 @t222))) % 0.39/0.76 (define @t241 () (= @t199 @t237)) % 0.39/0.76 (define @t242 () (or @t238 @t241)) % 0.39/0.76 (define @t243 () (@list false)) % 0.39/0.76 (define @t244 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 0.39/0.76 (define @t245 () (tptp.isFinite0 @t244)) % 0.39/0.76 (define @t246 () (not (tptp.aSubsetOf0 @t244 @t1))) % 0.39/0.76 (define @t247 () (or @t246 @t245)) % 0.39/0.76 (define @t248 () (or @t206 @t12 @t247)) % 0.39/0.76 (define @t249 () (forall (@list @t1 @t244) @t248)) % 0.39/0.76 (define @t250 () (@list @t244)) % 0.39/0.76 (define @t251 () (forall @t250 @t248)) % 0.39/0.76 (define @t252 () (forall @t250 @t247)) % 0.39/0.76 (define @t253 () (or @t206 @t12 @t252)) % 0.39/0.76 (define @t254 () (forall @t8 (or (not @t20) @t21))) % 0.39/0.76 (define @t255 () (or @t206 @t12 @t254)) % 0.39/0.76 (define @t256 () (not @t197)) % 0.39/0.76 (define @t257 () (or @t226 @t234 @t256 @t237)) % 0.39/0.76 (define @t258 () (= @t185 @t200)) % 0.39/0.76 (define @t259 () (and @t192 @t194 @t232)) % 0.39/0.76 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.76 (assume @p2 (forall @t3 (=> @t4 true))) % 0.39/0.76 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.39/0.76 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.39/0.76 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.39/0.76 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.39/0.76 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.39/0.76 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.39/0.76 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.39/0.76 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.39/0.76 (assume @p11 @t25) % 0.39/0.76 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.39/0.76 (assume @p13 (forall @t28 (=> (and @t2 @t19) (=> (and @t27 @t20) @t26)))) % 0.39/0.76 (assume @p14 (forall @t31 (=> (and @t2 @t19 @t30) (=> (and @t27 @t29) (tptp.aSubsetOf0 @t1 @t15))))) % 0.39/0.76 (assume @p15 (forall @t28 (=> @t39 (forall @t18 (= (= @t15 @t38) (and @t30 (forall @t37 (= @t36 (and @t35 (or @t34 @t33)))))))))) % 0.39/0.76 (assume @p16 (forall @t28 (=> @t39 (forall @t18 (= (= @t15 @t40) (and @t30 (forall @t37 (= @t36 (and @t35 @t34 (not @t33)))))))))) % 0.39/0.76 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t40 @t5) @t1)))))) % 0.39/0.76 (assume @p18 (forall @t28 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t41 @t1) @t5))))) % 0.39/0.76 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t41)))))) % 0.39/0.76 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t44)))))) % 0.39/0.76 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t41)))))) % 0.39/0.76 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t44)))))) % 0.39/0.76 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.39/0.76 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.39/0.76 (assume @p25 (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t46 tptp.szNzAzT0) (not (= @t46 tptp.sz00)))))) % 0.39/0.76 (assume @p26 (forall @t28 (=> @t50 (=> (= @t46 @t48) @t26)))) % 0.39/0.76 (assume @p27 (forall @t3 (=> @t47 (or @t51 (exists @t8 (and @t49 (= @t1 @t48))))))) % 0.39/0.76 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t46))))) % 0.39/0.76 (assume @p29 (forall @t28 (=> @t50 (=> @t52 true)))) % 0.39/0.76 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.39/0.76 (assume @p31 (forall @t3 (=> @t47 (not (tptp.sdtlseqdt0 @t46 tptp.sz00))))) % 0.39/0.76 (assume @p32 (forall @t28 (=> @t50 (= @t52 (tptp.sdtlseqdt0 @t46 @t48))))) % 0.39/0.76 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t46)))) % 0.39/0.76 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.39/0.76 (assume @p35 (forall @t28 (=> @t50 (=> (and @t52 @t53) @t26)))) % 0.39/0.76 (assume @p36 (forall @t31 (=> (and @t47 @t49 @t55) (=> (and @t52 @t54) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.39/0.76 (assume @p37 (forall @t28 (=> @t50 (or @t52 (tptp.sdtlseqdt0 @t48 @t1))))) % 0.39/0.76 (assume @p38 (forall @t28 (=> @t50 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.39/0.76 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t46)))) % 0.39/0.76 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.39/0.76 (assume @p41 @t59) % 0.39/0.76 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t10)))) % 0.39/0.76 (assume @p43 (forall @t3 (=> @t23 (forall @t8 (=> @t6 (=> @t60 (= (tptp.sbrdtbr0 @t38) (tptp.szszuzczcdt0 @t56)))))))) % 0.39/0.76 (assume @p44 @t66) % 0.39/0.76 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t67 @t56)))))) % 0.39/0.76 (assume @p46 (forall @t28 (=> @t69 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t68 @t5))))))) % 0.39/0.76 (assume @p47 (forall @t3 (=> (and @t71 @t14) (forall @t8 (= (= @t5 @t70) (and @t7 (forall @t18 (=> @t16 @t54)))))))) % 0.39/0.76 (assume @p48 (forall @t3 (=> (and @t71 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.39/0.76 (assume @p49 (forall @t28 (=> (and @t71 @t73 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t70 @t5) (tptp.aElementOf0 @t72 @t1)) (= @t70 @t72))))) % 0.39/0.76 (assume @p50 (forall @t3 (=> @t47 (forall @t8 (= (= @t5 @t74) (and @t19 (forall @t18 (= @t17 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.39/0.76 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t74)))) % 0.39/0.76 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.39/0.76 (assume @p53 (forall @t28 (=> @t50 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t48)) (or (tptp.aElementOf0 @t1 @t75) @t26))))) % 0.39/0.76 (assume @p54 (forall @t28 (=> @t50 (= @t52 (tptp.aSubsetOf0 @t74 @t75))))) % 0.39/0.76 (assume @p55 (forall @t3 (=> (and @t71 @t9) (exists @t8 (and @t49 (tptp.aSubsetOf0 @t1 @t75)))))) % 0.39/0.76 (assume @p56 (forall @t3 (=> @t47 (= (tptp.sbrdtbr0 @t74) @t1)))) % 0.39/0.76 (assume @p57 (forall @t28 (=> @t69 (forall @t18 (= (= @t15 @t78) (and @t30 (forall @t37 (= @t36 (and @t77 (= @t76 @t5)))))))))) % 0.39/0.76 (assume @p58 (forall @t3 (=> @t23 (forall @t8 (=> @t49 (tptp.isFinite0 @t78)))))) % 0.39/0.76 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t49 (not (= @t78 tptp.slcrc0))))))) % 0.39/0.76 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t49 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t78)))))) % 0.39/0.76 (assume @p61 (forall @t3 (=> @t47 (forall (@list @t5 @t15) (=> (and @t19 @t30 (not @t51)) (=> (and (tptp.aSubsetOf0 @t79 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t79 tptp.slcrc0))) @t29)))))) % 0.39/0.76 (assume @p62 (forall @t28 (=> @t69 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t78) (tptp.isFinite0 @t15)) (exists @t37 (and @t77 (tptp.isFinite0 @t32) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t32 @t5))))))))) % 0.39/0.76 (assume @p63 (forall @t3 (=> @t80 true))) % 0.39/0.76 (assume @p64 (forall @t3 (=> @t80 (tptp.aSet0 @t81)))) % 0.39/0.76 (assume @p65 (forall @t3 (=> @t80 (forall @t8 (=> @t83 (tptp.aElement0 @t82)))))) % 0.39/0.76 (assume @p66 (forall @t28 (=> @t87 (forall @t18 (= (= @t15 @t86) (and @t30 (forall @t37 (= @t36 (and @t85 (= @t84 @t5)))))))))) % 0.39/0.76 (assume @p67 (forall @t28 (=> @t87 (tptp.aSubsetOf0 @t86 @t81)))) % 0.39/0.76 (assume @p68 (forall @t3 (=> @t80 (forall @t8 (=> @t92 (forall @t18 (= (= @t15 @t91) (and @t30 (forall @t37 (= @t36 (exists @t90 (and @t89 (= (tptp.sdtlpdtrp0 @t1 @t88) @t32))))))))))))) % 0.39/0.76 (assume @p69 (forall @t3 (=> @t80 (forall @t8 (=> @t83 (tptp.aElementOf0 @t82 @t93)))))) % 0.39/0.76 (assume @p70 (forall @t3 (=> @t80 (forall @t8 (=> @t92 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t96 (= @t95 @t5) (forall @t37 (=> @t94 (= (tptp.sdtlpdtrp0 @t15 @t32) @t84))))))))))) % 0.39/0.76 (assume @p71 (forall @t3 (=> @t80 (forall @t8 (=> (and @t92 @t42) (=> (forall (@list @t15 @t32) (=> (and (tptp.aElementOf0 @t15 @t81) @t85 (not (= @t15 @t32))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t84)))) (tptp.isCountable0 @t91))))))) % 0.39/0.76 (assume @p72 (forall @t3 (=> @t80 (=> (and (tptp.isCountable0 @t81) (tptp.isFinite0 @t93)) (and (tptp.aElement0 @t97) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t97))))))) % 0.39/0.76 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.39/0.76 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.39/0.76 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t98 @t47)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.39/0.76 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t104 (and @t2 @t107 @t106 @t105)) (=> (and (or (and @t2 @t107) @t106) @t105) @t104))) (= @t99 @t103) (tptp.aSet0 @t100) (forall @t3 (= @t102 (exists @t8 (and (tptp.aElementOf0 @t5 @t99) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t102 @t101)) (tptp.aSubsetOf0 @t100 tptp.xT))) % 0.39/0.76 (assume @p77 (forall @t3 (=> @t47 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t55))) @t73) @t42) (forall @t18 (=> (and @t96 (or (forall @t37 (and (=> @t114 (and (or (and @t119 @t118) @t116) @t115)) (=> (and @t119 @t118 @t116 @t115) @t114))) (= @t95 @t79)) (=> (and (tptp.aSet0 @t112) (forall @t37 (= @t113 (exists @t90 (and (tptp.aElementOf0 @t88 @t95) (= (tptp.sdtlpdtrp0 @t15 @t88) @t32)))))) (or (forall @t37 (=> @t113 @t111)) (tptp.aSubsetOf0 @t112 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t37 (and @t111 (exists @t90 (and (tptp.aSet0 @t88) (forall @t110 (=> (tptp.aElementOf0 @t108 @t88) (tptp.aElementOf0 @t108 @t5))) (tptp.aSubsetOf0 @t88 @t5) (tptp.isCountable0 @t88) (forall @t110 (=> (or (and (or (and (tptp.aSet0 @t108) (forall (@list @t109) (=> (tptp.aElementOf0 @t109 @t108) (tptp.aElementOf0 @t109 @t88)))) (tptp.aSubsetOf0 @t108 @t88)) (= (tptp.sbrdtbr0 @t108) @t1)) (tptp.aElementOf0 @t108 (tptp.slbdtsldtrb0 @t88 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t108) @t32))))))))))))))) % 0.39/0.76 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.39/0.76 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.39/0.76 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t47 (=> (and (or (and @t133 @t132) @t131) @t130) (and @t129 @t128 @t127 @t126 (tptp.aSet0 @t120) (forall @t8 (=> (tptp.aElementOf0 @t5 @t120) @t124)) (tptp.aSubsetOf0 @t120 @t123) (tptp.isCountable0 @t120))))))) % 0.39/0.76 (assume @p81 (forall @t3 (=> @t47 (and @t133 @t132 @t131 @t130)))) % 0.39/0.76 (assume @p82 (forall @t28 (=> @t50 (=> @t53 (and (forall @t18 (=> @t136 @t135)) (tptp.aSubsetOf0 @t121 @t134)))))) % 0.39/0.76 (assume @p83 (forall @t28 (=> (and @t47 @t49 (not @t26)) (not (=> @t139 (or (and (tptp.aElementOf0 @t122 @t134) (forall @t18 (=> @t135 @t137))) (= @t122 (tptp.szmzizndt0 @t134)))))))) % 0.39/0.76 (assume @p84 (forall @t3 (=> @t47 (forall @t8 (=> @t151 (and @t129 @t138 (tptp.aSet0 @t140) @t144 (forall @t18 (=> @t141 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t140 tptp.xS) (= (tptp.sbrdtbr0 @t140) tptp.xK) (tptp.aElementOf0 @t140 @t103))))))) % 0.39/0.76 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aFunction0 @t152) @t129 @t128 @t127 @t126 (forall @t8 (and (=> @t155 (and @t19 @t149 @t147 @t146)) (=> (and @t156 @t146) @t155))) (= @t154 @t145) (forall @t8 (=> @t151 (and @t129 @t138 @t144 (= @t153 (tptp.sdtlpdtrp0 tptp.xc @t140)))))))))) % 0.39/0.76 (assume @p86 (forall @t3 (=> @t47 (and (tptp.aSet0 @t157) (forall @t8 (= @t159 (exists @t18 (and (tptp.aElementOf0 @t15 @t154) @t160)))) (forall @t8 (=> @t159 @t158)) (tptp.aSubsetOf0 @t157 tptp.xT))))) % 0.39/0.76 (assume @p87 (forall @t3 (=> @t47 (forall @t8 (=> (and (=> @t139 (=> @t150 @t156)) @t42) (forall @t18 (=> (and @t30 (or (and (or (forall @t37 (=> @t36 @t94)) (tptp.aSubsetOf0 @t15 @t5)) @t167) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t129 @t166 @t127 @t165 @t163 @t161 (tptp.aElementOf0 @t15 @t145))))))))) % 0.39/0.76 (assume @p88 (forall @t3 (=> @t47 (exists @t8 (and @t158 (exists @t18 (and @t129 @t166 @t127 @t165 @t30 @t163 @t161 (tptp.isCountable0 @t15) (forall @t37 (=> (and @t119 (or (and (or (forall @t90 (=> @t117 (tptp.aElementOf0 @t88 @t15))) (tptp.aSubsetOf0 @t32 @t15)) (= @t76 tptp.xk)) (tptp.aElementOf0 @t32 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t152 @t32) @t5)))))))))) % 0.39/0.76 (assume @p89 (forall @t3 (=> @t47 (exists @t8 (and @t158 (forall @t18 (=> (and @t30 (or (and (or (forall @t37 (=> @t36 (tptp.aElementOf0 @t32 @t120))) (tptp.aSubsetOf0 @t15 @t120)) @t167) (tptp.aElementOf0 @t15 @t168))) @t160))))))) % 0.39/0.76 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t169 @t121) (forall @t8 (=> @t125 (tptp.sdtlseqdt0 @t169 @t5))) (= @t169 @t122)))))) % 0.39/0.76 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t171 tptp.szNzAzT0) (forall @t3 (=> @t47 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t120))) (tptp.aSubsetOf0 @t5 @t120)) @t146) (tptp.aElementOf0 @t5 @t168))) (= @t170 @t153))))))) % 0.39/0.76 (assume @p92 (and (tptp.aSet0 @t172) (forall @t3 (= @t173 (exists @t8 (and (tptp.aElementOf0 @t5 @t171) (= @t174 @t1))))) (forall @t3 (=> @t173 @t101)) (tptp.aSubsetOf0 @t172 tptp.xT))) % 0.39/0.76 (assume @p93 (and (tptp.aElementOf0 @t175 tptp.xT) @t179 @t178)) % 0.39/0.76 (assume @p94 (and @t184 @t179 @t178 (forall @t3 (= @t183 @t182)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t176)))) % 0.39/0.76 (assume @p95 (and @t184 (tptp.isCountable0 tptp.xO))) % 0.39/0.76 (assume @p96 (forall @t3 (=> (or @t182 @t183) (exists @t8 (and @t49 (= @t174 @t175) @t181 @t180))))) % 0.39/0.76 (assume @p97 (and (forall @t3 (=> @t183 @t98)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 0.39/0.76 (assume @p98 (and @t188 @t187 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= @t185 tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 0.39/0.76 (assume @p99 (and @t187 (not (or (not (exists @t3 @t186)) (= tptp.xQ tptp.slcrc0))))) % 0.39/0.76 (assume @p100 (and (forall @t3 (=> @t186 @t47)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 0.39/0.76 (assume @p101 (and @t190 @t189 @t190 @t189 (tptp.aElementOf0 tptp.xQ @t99))) % 0.39/0.76 (assume @p102 (and @t193 (forall @t3 (=> @t186 (tptp.sdtlseqdt0 tptp.xp @t1))) @t192)) % 0.39/0.76 (assume @p103 (and @t196 (forall @t3 (=> @t186 (tptp.sdtlseqdt0 @t191 @t1))) (forall @t3 (= @t195 (and @t4 @t186 (not (= @t1 @t191))))) @t194)) % 0.39/0.76 (assume @p104 @t193) % 0.39/0.76 (assume @p105 (exists @t3 (and @t177 (= @t169 tptp.xp)))) % 0.39/0.76 (assume @p106 (and (forall @t3 (=> @t195 @t186)) @t197)) % 0.39/0.76 (assume @p107 (and (forall @t3 (=> @t195 @t183)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 0.39/0.76 (assume @p108 @t202) % 0.39/0.76 (assume @p109 true) % 0.39/0.76 (step @p110 :rule and_elim :premises (@p102) :args (2)) % 0.39/0.76 (step @p111 :rule and_elim :premises (@p103) :args (3)) % 0.39/0.76 (step @p112 :rule aci_norm :args ((= @t208 (or @t206 @t12 @t205 @t204)))) % 0.39/0.76 (step @p113 :rule cong :premises (@p112) :args (@t209)) % 0.39/0.76 (step @p114 :rule quant-merge-prenex :args ((= (forall @t3 @t211) @t209))) % 0.39/0.76 (step @p115 :rule alpha_equiv :args (@t212 (@list @t203) @t213)) % 0.39/0.76 (step @p116 :rule refl :args (@t12)) % 0.39/0.76 (step @p117 :rule refl :args (@t206)) % 0.39/0.76 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args (@t214)) % 0.39/0.76 (step @p119 :rule quant-miniscope-or :args ((= @t211 @t214))) % 0.39/0.76 (step @p120 :rule trans :premises (@p119 @p118)) % 0.39/0.76 (step @p121 :rule symm :premises (@p120)) % 0.39/0.76 (step @p122 :rule cong :premises (@p121) :args ((forall @t3 @t218))) % 0.39/0.76 (step @p123 :rule trans :premises (@p122 @p114)) % 0.39/0.76 (step @p124 :rule trans :premises (@p123 @p113)) % 0.39/0.76 (step @p125 :rule aci_norm :args ((= (or @t206 @t219) @t218))) % 0.39/0.76 (step @p126 :rule bool-impl-elim :args (@t2 @t219)) % 0.39/0.76 (step @p127 :rule trans :premises (@p126 @p125)) % 0.39/0.76 (step @p128 :rule cong :premises (@p127) :args ((forall @t3 (=> @t2 @t219)))) % 0.39/0.76 (step @p129 :rule trans :premises (@p128 @p124)) % 0.39/0.76 (step @p130 :rule quant-miniscope-or :args ((= (forall @t8 @t220) @t219))) % 0.39/0.76 (step @p131 :rule aci_norm :args ((= @t221 @t220))) % 0.39/0.76 (step @p132 :rule cong :premises (@p131) :args ((forall @t8 @t221))) % 0.39/0.76 (step @p133 :rule trans :premises (@p132 @p130)) % 0.39/0.76 (step @p134 :rule aci_norm :args ((= (or (or @t12 @t60) @t215) @t221))) % 0.39/0.76 (step @p135 :rule refl :args (@t215)) % 0.39/0.76 (step @p136 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.39/0.76 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t62) @t215))) % 0.39/0.76 (step @p138 :rule trans :premises (@p137 @p134)) % 0.39/0.76 (step @p139 :rule bool-impl-elim :args (@t62 @t215)) % 0.39/0.76 (step @p140 :rule trans :premises (@p139 @p138)) % 0.39/0.76 (step @p141 :rule cong :premises (@p140) :args ((forall @t8 (=> @t62 @t215)))) % 0.39/0.76 (step @p142 :rule trans :premises (@p141 @p133)) % 0.39/0.76 (step @p143 :rule eq-symm :args (@t61 @t56)) % 0.39/0.76 (step @p144 :rule refl :args (@t62)) % 0.39/0.76 (step @p145 :rule cong :premises (@p144 @p143) :args (@t63)) % 0.39/0.76 (step @p146 :rule cong :premises (@p145) :args (@t64)) % 0.39/0.76 (step @p147 :rule trans :premises (@p146 @p142)) % 0.39/0.76 (step @p148 :rule refl :args (@t2)) % 0.39/0.76 (step @p149 :rule cong :premises (@p148 @p147) :args (@t65)) % 0.39/0.76 (step @p150 :rule cong :premises (@p149) :args (@t66)) % 0.39/0.76 (step @p151 :rule trans :premises (@p150 @p129)) % 0.39/0.76 (step @p152 :rule eq_resolve :premises (@p44 @p151)) % 0.39/0.76 (step @p153 :rule instantiate :premises (@p152) :args ((@list tptp.xQ tptp.xp))) % 0.39/0.76 (step @p154 :rule bool-impl-elim :args (@t2 @t222)) % 0.39/0.76 (step @p155 :rule cong :premises (@p154) :args ((forall @t3 (=> @t2 @t222)))) % 0.39/0.76 (step @p156 :rule eq-symm :args (@t57 @t9)) % 0.39/0.76 (step @p157 :rule cong :premises (@p148 @p156) :args (@t58)) % 0.39/0.76 (step @p158 :rule cong :premises (@p157) :args (@t59)) % 0.39/0.76 (step @p159 :rule trans :premises (@p158 @p155)) % 0.39/0.76 (step @p160 :rule eq_resolve :premises (@p41 @p159)) % 0.39/0.76 (step @p161 :rule instantiate :premises (@p160) :args ((@list tptp.xQ))) % 0.39/0.76 (step @p162 :rule and_elim :premises (@p98) :args (0)) % 0.39/0.76 (step @p163 :rule cnf_or_pos :args (@t227)) % 0.39/0.76 (step @p164 :rule reordering :premises (@p163) :args ((or @t226 @t225 (not @t227)))) % 0.39/0.76 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p161) :args (@t225 @t228 (@list @t188 @t227))) % 0.39/0.76 (step @p166 :rule true_intro :premises (@p74)) % 0.39/0.76 (step @p167 :rule refl :args (tptp.szNzAzT0)) % 0.39/0.76 (step @p168 :rule and_elim :premises (@p98) :args (3)) % 0.39/0.76 (step @p169 :rule cong :premises (@p168 @p167) :args (@t223)) % 0.39/0.76 (step @p170 :rule trans :premises (@p169 @p166)) % 0.39/0.76 (step @p171 :rule true_elim :premises (@p170)) % 0.39/0.76 (step @p172 :rule cnf_equiv_pos2 :args (@t225)) % 0.39/0.76 (step @p173 :rule reordering :premises (@p172) :args ((or @t224 (not @t223) (not @t225)))) % 0.39/0.76 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p165) :args (@t224 @t228 (@list @t223 @t225))) % 0.39/0.76 (step @p175 :rule and_elim :premises (@p102) :args (0)) % 0.39/0.76 (step @p176 :rule cnf_or_pos :args (@t235)) % 0.39/0.76 (step @p177 :rule reordering :premises (@p176) :args ((or @t226 @t233 @t234 @t232 (not @t235)))) % 0.39/0.76 (step @p178 :rule chain_m_resolution :premises (@p177 @p162 @p175 @p174 @p153) :args (@t232 @t236 (@list @t188 @t193 @t224 @t235))) % 0.39/0.76 (step @p179 :rule eq-symm :args (@t237 @t199)) % 0.39/0.76 (step @p180 :rule refl :args (@t238)) % 0.39/0.76 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t239)) % 0.39/0.76 (step @p182 :rule refl :args (@t240)) % 0.39/0.76 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t240 @t239))) % 0.39/0.76 (assume-push @p256 @t240) % 0.39/0.76 (step @p185 :rule instantiate :premises (@p160) :args ((@list tptp.xP))) % 0.39/0.76 (step-pop @p257 :rule scope :premises (@p185)) % 0.39/0.76 (step @p186 :rule process_scope :premises (@p257) :args (@t239)) % 0.39/0.76 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 0.39/0.76 (step @p189 :rule implies_elim :premises (@p188)) % 0.39/0.76 (step @p190 :rule chain_m_resolution :premises (@p189 @p160) :args (@t242 @t243 (@list @t240))) % 0.39/0.76 (step @p191 :rule and_elim :premises (@p103) :args (0)) % 0.39/0.76 (step @p192 :rule cnf_or_pos :args (@t242)) % 0.39/0.76 (step @p193 :rule reordering :premises (@p192) :args ((or @t238 @t241 (not @t242)))) % 0.39/0.76 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p190) :args (@t241 @t228 (@list @t196 @t242))) % 0.39/0.76 (step @p195 :rule aci_norm :args ((= @t248 (or @t206 @t12 @t246 @t245)))) % 0.39/0.76 (step @p196 :rule cong :premises (@p195) :args (@t249)) % 0.39/0.76 (step @p197 :rule quant-merge-prenex :args ((= (forall @t3 @t251) @t249))) % 0.39/0.76 (step @p198 :rule alpha_equiv :args (@t252 (@list @t244) @t213)) % 0.39/0.76 (step @p199 :rule nary_cong :premises (@p117 @p116 @p198) :args (@t253)) % 0.39/0.76 (step @p200 :rule quant-miniscope-or :args ((= @t251 @t253))) % 0.39/0.76 (step @p201 :rule trans :premises (@p200 @p199)) % 0.39/0.76 (step @p202 :rule symm :premises (@p201)) % 0.39/0.76 (step @p203 :rule cong :premises (@p202) :args ((forall @t3 @t255))) % 0.39/0.76 (step @p204 :rule trans :premises (@p203 @p197)) % 0.39/0.76 (step @p205 :rule trans :premises (@p204 @p196)) % 0.39/0.76 (step @p206 :rule aci_norm :args ((= (or (or @t206 @t12) @t254) @t255))) % 0.39/0.76 (step @p207 :rule refl :args (@t254)) % 0.39/0.76 (step @p208 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 0.39/0.76 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or (not @t23) @t254))) % 0.39/0.76 (step @p210 :rule trans :premises (@p209 @p206)) % 0.39/0.76 (step @p211 :rule bool-impl-elim :args (@t23 @t254)) % 0.39/0.76 (step @p212 :rule trans :premises (@p211 @p210)) % 0.39/0.76 (step @p213 :rule cong :premises (@p212) :args ((forall @t3 (=> @t23 @t254)))) % 0.39/0.76 (step @p214 :rule trans :premises (@p213 @p205)) % 0.39/0.76 (step @p215 :rule bool-impl-elim :args (@t20 @t21)) % 0.39/0.76 (step @p216 :rule cong :premises (@p215) :args (@t22)) % 0.39/0.76 (step @p217 :rule refl :args (@t23)) % 0.39/0.76 (step @p218 :rule cong :premises (@p217 @p216) :args (@t24)) % 0.39/0.76 (step @p219 :rule cong :premises (@p218) :args (@t25)) % 0.39/0.76 (step @p220 :rule trans :premises (@p219 @p214)) % 0.39/0.76 (step @p221 :rule eq_resolve :premises (@p11 @p220)) % 0.39/0.77 (step @p222 :rule instantiate :premises (@p221) :args ((@list tptp.xQ tptp.xP))) % 0.39/0.77 (step @p223 :rule and_elim :premises (@p106) :args (1)) % 0.39/0.77 (step @p224 :rule cnf_or_pos :args (@t257)) % 0.39/0.77 (step @p225 :rule reordering :premises (@p224) :args ((or @t226 @t256 @t234 @t237 (not @t257)))) % 0.39/0.77 (step @p226 :rule chain_m_resolution :premises (@p225 @p162 @p223 @p174 @p222) :args (@t237 @t236 (@list @t188 @t197 @t224 @t257))) % 0.39/0.77 (step @p227 :rule cnf_equiv_pos2 :args (@t241)) % 0.39/0.77 (step @p228 :rule reordering :premises (@p227) :args ((or @t199 (not @t237) (not @t241)))) % 0.39/0.77 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p194) :args (@t199 @t228 (@list @t237 @t241))) % 0.39/0.77 (step @p230 :rule refl :args (@t199)) % 0.39/0.77 (step @p231 :rule eq-symm :args (@t200 @t185)) % 0.39/0.77 (step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t201)) % 0.39/0.77 (step @p233 :rule cong :premises (@p232) :args (@t202)) % 0.39/0.77 (step @p234 :rule eq_resolve :premises (@p108 @p233)) % 0.39/0.77 (step @p235 :rule not_and :premises (@p234)) % 0.39/0.77 (step @p236 :rule chain_m_resolution :premises (@p235 @p229) :args ((not @t258) @t243 (@list @t199))) % 0.39/0.77 (assume-push @p258 @t192) % 0.39/0.77 (assume-push @p259 @t194) % 0.39/0.77 (assume-push @p260 @t232) % 0.39/0.77 (step @p240 :rule symm :premises (@p111)) % 0.39/0.77 (step @p241 :rule refl :args (tptp.xQ)) % 0.39/0.77 (step @p242 :rule cong :premises (@p241 @p110) :args (@t229)) % 0.39/0.77 (step @p243 :rule trans :premises (@p242 @p240)) % 0.39/0.77 (step @p244 :rule cong :premises (@p243) :args (@t230)) % 0.39/0.77 (step @p245 :rule cong :premises (@p244) :args (@t231)) % 0.39/0.77 (step @p246 :rule trans :premises (@p178 @p245)) % 0.39/0.77 (step-pop @p261 :rule scope :premises (@p246)) % 0.39/0.77 (step-pop @p262 :rule scope :premises (@p261)) % 0.39/0.77 (step-pop @p263 :rule scope :premises (@p262)) % 0.39/0.77 (step @p247 :rule process_scope :premises (@p263) :args (@t258)) % 0.39/0.77 (step @p251 :rule implies_elim :premises (@p247)) % 0.39/0.77 (step @p252 :rule cnf_and_neg :args (@t259)) % 0.39/0.77 (step @p253 :rule resolution :premises (@p252 @p251) :args (true @t259)) % 0.39/0.77 (step @p254 :rule reordering :premises (@p253) :args ((or @t258 (not @t192) (not @t194) (not @t232)))) % 0.39/0.77 (step @p255 false :rule chain_m_resolution :premises (@p254 @p236 @p178 @p111 @p110) :args (false (@list true false false false) (@list @t258 @t232 @t194 @t192))) % 0.39/0.77 ) % 0.39/0.77 % SZS output end Proof % 0.39/0.77 % cvc5 exiting %------------------------------------------------------------------------------