%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM588+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:39:56 AM UTC 2026 % Result : Theorem 0.36s 0.75s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM588+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 11:33:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.75 % SZS status Theorem % 0.36/0.75 % SZS output start Proof % 0.36/0.75 ( % 0.36/0.75 (declare-sort $$unsorted 0) % 0.36/0.75 (declare-const tptp.xN $$unsorted) % 0.36/0.75 (declare-const tptp.sz00 $$unsorted) % 0.36/0.75 (declare-const tptp.xC $$unsorted) % 0.36/0.75 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.szNzAzT0 $$unsorted) % 0.36/0.75 (declare-const tptp.xk $$unsorted) % 0.36/0.75 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.75 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.xK $$unsorted) % 0.36/0.75 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.xT $$unsorted) % 0.36/0.75 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.xS $$unsorted) % 0.36/0.75 (declare-const tptp.xc $$unsorted) % 0.36/0.75 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.slcrc0 $$unsorted) % 0.36/0.75 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.75 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.75 (define @t2 () (tptp.aSet0 @t1)) % 0.36/0.75 (define @t3 () (@list @t1)) % 0.36/0.75 (define @t4 () (tptp.aElement0 @t1)) % 0.36/0.75 (define @t5 () (@var "W1" $$unsorted)) % 0.36/0.75 (define @t6 () (tptp.aElement0 @t5)) % 0.36/0.75 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.36/0.75 (define @t8 () (@list @t5)) % 0.36/0.75 (define @t9 () (tptp.isFinite0 @t1)) % 0.36/0.75 (define @t10 () (= @t1 tptp.slcrc0)) % 0.36/0.75 (define @t11 () (tptp.isCountable0 @t1)) % 0.36/0.75 (define @t12 () (not @t9)) % 0.36/0.75 (define @t13 () (and @t2 @t11)) % 0.36/0.75 (define @t14 () (not @t10)) % 0.36/0.75 (define @t15 () (@var "W2" $$unsorted)) % 0.36/0.75 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.36/0.75 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.36/0.75 (define @t18 () (@list @t15)) % 0.36/0.75 (define @t19 () (tptp.aSet0 @t5)) % 0.36/0.75 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.36/0.75 (define @t21 () (tptp.isFinite0 @t5)) % 0.36/0.75 (define @t22 () (and @t2 @t9)) % 0.36/0.75 (define @t23 () (= @t1 @t5)) % 0.36/0.75 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.36/0.75 (define @t25 () (@list @t1 @t5)) % 0.36/0.75 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.36/0.75 (define @t27 () (tptp.aSet0 @t15)) % 0.36/0.75 (define @t28 () (@list @t1 @t5 @t15)) % 0.36/0.75 (define @t29 () (@var "W3" $$unsorted)) % 0.36/0.75 (define @t30 () (= @t29 @t5)) % 0.36/0.75 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.36/0.75 (define @t32 () (tptp.aElement0 @t29)) % 0.36/0.75 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.36/0.75 (define @t34 () (@list @t29)) % 0.36/0.75 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.36/0.75 (define @t36 () (and @t2 @t6)) % 0.36/0.75 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.36/0.75 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.36/0.75 (define @t39 () (tptp.isCountable0 @t5)) % 0.36/0.75 (define @t40 () (and @t19 @t39)) % 0.36/0.75 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.36/0.75 (define @t42 () (and @t19 @t21)) % 0.36/0.75 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 0.36/0.75 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.36/0.75 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 0.36/0.75 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.36/0.75 (define @t47 () (and @t44 @t46)) % 0.36/0.75 (define @t48 () (= @t1 tptp.sz00)) % 0.36/0.75 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.36/0.75 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.36/0.75 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.36/0.75 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.36/0.75 (define @t53 () (tptp.sbrdtbr0 @t1)) % 0.36/0.75 (define @t54 () (tptp.sbrdtbr0 @t5)) % 0.36/0.75 (define @t55 () (tptp.sbrdtbr0 @t15)) % 0.36/0.75 (define @t56 () (and @t2 @t46)) % 0.36/0.75 (define @t57 () (tptp.szmzizndt0 @t1)) % 0.36/0.75 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.36/0.75 (define @t59 () (tptp.szmzizndt0 @t5)) % 0.36/0.75 (define @t60 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.36/0.75 (define @t61 () (tptp.slbdtrb0 @t1)) % 0.36/0.75 (define @t62 () (tptp.slbdtrb0 @t5)) % 0.36/0.75 (define @t63 () (tptp.sbrdtbr0 @t29)) % 0.36/0.75 (define @t64 () (tptp.aSubsetOf0 @t29 @t1)) % 0.36/0.75 (define @t65 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.36/0.75 (define @t66 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.36/0.75 (define @t67 () (tptp.aFunction0 @t1)) % 0.36/0.75 (define @t68 () (tptp.szDzozmdt0 @t1)) % 0.36/0.75 (define @t69 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.36/0.75 (define @t70 () (tptp.aElementOf0 @t5 @t68)) % 0.36/0.75 (define @t71 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.36/0.75 (define @t72 () (tptp.aElementOf0 @t29 @t68)) % 0.36/0.75 (define @t73 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.36/0.75 (define @t74 () (and @t67 @t6)) % 0.36/0.75 (define @t75 () (@var "W4" $$unsorted)) % 0.36/0.75 (define @t76 () (tptp.aElementOf0 @t75 @t5)) % 0.36/0.75 (define @t77 () (@list @t75)) % 0.36/0.75 (define @t78 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.36/0.75 (define @t79 () (tptp.aSubsetOf0 @t5 @t68)) % 0.36/0.75 (define @t80 () (tptp.sdtlcdtrc0 @t1 @t68)) % 0.36/0.75 (define @t81 () (tptp.aElementOf0 @t29 @t5)) % 0.36/0.75 (define @t82 () (tptp.szDzozmdt0 @t15)) % 0.36/0.75 (define @t83 () (tptp.aFunction0 @t15)) % 0.36/0.75 (define @t84 () (tptp.szDzizrdt0 @t1)) % 0.36/0.75 (define @t85 () (tptp.szDzozmdt0 tptp.xc)) % 0.36/0.75 (define @t86 () (tptp.sdtlcdtrc0 tptp.xc @t85)) % 0.36/0.75 (define @t87 () (tptp.aElementOf0 @t1 @t86)) % 0.36/0.75 (define @t88 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.36/0.75 (define @t89 () (tptp.aElementOf0 @t1 @t85)) % 0.36/0.75 (define @t90 () (= @t53 tptp.xK)) % 0.36/0.75 (define @t91 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.36/0.75 (define @t92 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.36/0.75 (define @t93 () (@var "W5" $$unsorted)) % 0.36/0.75 (define @t94 () (@var "W6" $$unsorted)) % 0.36/0.75 (define @t95 () (@list @t93)) % 0.36/0.75 (define @t96 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.36/0.75 (define @t97 () (tptp.sdtlcdtrc0 @t15 @t82)) % 0.36/0.75 (define @t98 () (tptp.aElementOf0 @t29 @t97)) % 0.36/0.75 (define @t99 () (tptp.aElementOf0 @t29 @t82)) % 0.36/0.75 (define @t100 () (= @t63 @t1)) % 0.36/0.75 (define @t101 () (tptp.aSubsetOf0 @t29 @t5)) % 0.36/0.75 (define @t102 () (forall @t77 (=> (tptp.aElementOf0 @t75 @t29) @t76))) % 0.36/0.75 (define @t103 () (tptp.aSet0 @t29)) % 0.36/0.75 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 0.36/0.75 (define @t105 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.36/0.75 (define @t106 () (tptp.szmzizndt0 @t105)) % 0.36/0.75 (define @t107 () (tptp.sdtmndt0 @t105 @t106)) % 0.36/0.75 (define @t108 () (tptp.aElementOf0 @t5 @t107)) % 0.36/0.75 (define @t109 () (tptp.aElementOf0 @t5 @t105)) % 0.36/0.75 (define @t110 () (forall @t8 (= @t108 (and @t6 @t109 (not (= @t5 @t106)))))) % 0.36/0.75 (define @t111 () (tptp.aSet0 @t107)) % 0.36/0.75 (define @t112 () (forall @t8 (=> @t109 (tptp.sdtlseqdt0 @t106 @t5)))) % 0.36/0.75 (define @t113 () (tptp.aElementOf0 @t106 @t105)) % 0.36/0.75 (define @t114 () (tptp.isCountable0 @t105)) % 0.36/0.75 (define @t115 () (tptp.aSubsetOf0 @t105 tptp.szNzAzT0)) % 0.36/0.75 (define @t116 () (forall @t8 (=> @t109 @t46))) % 0.36/0.75 (define @t117 () (tptp.aSet0 @t105)) % 0.36/0.75 (define @t118 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.36/0.75 (define @t119 () (tptp.aElementOf0 @t15 @t118)) % 0.36/0.75 (define @t120 () (tptp.aElementOf0 @t15 @t105)) % 0.36/0.75 (define @t121 () (tptp.sdtlseqdt0 @t106 @t15)) % 0.36/0.75 (define @t122 () (forall @t18 (=> @t120 @t121))) % 0.36/0.75 (define @t123 () (and @t113 @t122)) % 0.36/0.75 (define @t124 () (tptp.sdtpldt0 @t5 @t106)) % 0.36/0.75 (define @t125 () (tptp.aElementOf0 @t15 @t124)) % 0.36/0.75 (define @t126 () (= @t15 @t106)) % 0.36/0.75 (define @t127 () (tptp.aElement0 @t15)) % 0.36/0.75 (define @t128 () (forall @t18 (= @t125 (and @t127 (or @t17 @t126))))) % 0.36/0.75 (define @t129 () (tptp.slbdtsldtrb0 @t107 tptp.xk)) % 0.36/0.75 (define @t130 () (= @t54 tptp.xk)) % 0.36/0.75 (define @t131 () (tptp.aSubsetOf0 @t5 @t107)) % 0.36/0.75 (define @t132 () (tptp.aElementOf0 @t15 @t107)) % 0.36/0.75 (define @t133 () (forall @t18 (=> @t17 @t132))) % 0.36/0.75 (define @t134 () (forall @t18 (= @t132 (and @t127 @t120 (not @t126))))) % 0.36/0.75 (define @t135 () (and @t19 (=> @t123 (=> (and @t111 @t134) (or (and (or @t133 @t131) @t130) (tptp.aElementOf0 @t5 @t129)))))) % 0.36/0.75 (define @t136 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.36/0.75 (define @t137 () (tptp.szDzozmdt0 @t136)) % 0.36/0.75 (define @t138 () (tptp.aElementOf0 @t5 @t137)) % 0.36/0.75 (define @t139 () (tptp.sdtlcdtrc0 @t136 @t137)) % 0.36/0.75 (define @t140 () (tptp.aElementOf0 @t5 @t139)) % 0.36/0.75 (define @t141 () (tptp.aElementOf0 @t15 @t129)) % 0.36/0.75 (define @t142 () (tptp.aSubsetOf0 @t15 @t107)) % 0.36/0.75 (define @t143 () (tptp.aElementOf0 @t29 @t107)) % 0.36/0.75 (define @t144 () (forall @t34 (=> @t33 @t143))) % 0.36/0.75 (define @t145 () (or @t144 @t142 @t141)) % 0.36/0.75 (define @t146 () (tptp.aElementOf0 @t29 @t105)) % 0.36/0.75 (define @t147 () (forall @t34 (= @t143 (and @t32 @t146 (not (= @t29 @t106)))))) % 0.36/0.75 (define @t148 () (and @t111 @t147)) % 0.36/0.75 (define @t149 () (=> @t148 @t145)) % 0.36/0.75 (define @t150 () (tptp.sdtlseqdt0 @t106 @t29)) % 0.36/0.75 (define @t151 () (forall @t34 (=> @t146 @t150))) % 0.36/0.75 (define @t152 () (and @t113 @t151)) % 0.36/0.75 (define @t153 () (=> @t152 @t149)) % 0.36/0.75 (define @t154 () (tptp.slbdtsldtrb0 @t5 tptp.xk)) % 0.36/0.75 (define @t155 () (tptp.aElementOf0 @t15 @t154)) % 0.36/0.75 (define @t156 () (= @t55 tptp.xk)) % 0.36/0.75 (define @t157 () (tptp.aSubsetOf0 @t15 @t5)) % 0.36/0.75 (define @t158 () (forall @t34 (=> @t33 @t81))) % 0.36/0.75 (define @t159 () (and @t27 @t158 @t157 @t156 @t155)) % 0.36/0.75 (define @t160 () (=> @t159 @t153)) % 0.36/0.75 (define @t161 () (forall @t18 @t160)) % 0.36/0.75 (define @t162 () (and @t113 @t122 @t111 @t134 @t19 @t133 @t131 @t39)) % 0.36/0.75 (define @t163 () (=> @t162 @t161)) % 0.36/0.75 (define @t164 () (forall @t8 @t163)) % 0.36/0.75 (define @t165 () (=> @t44 @t164)) % 0.36/0.75 (define @t166 () (forall @t3 @t165)) % 0.36/0.75 (define @t167 () (not @t166)) % 0.36/0.75 (define @t168 () (@var "BOUND_VARIABLE_10567" $$unsorted)) % 0.36/0.75 (define @t169 () (tptp.aElementOf0 @t168 @t107)) % 0.36/0.75 (define @t170 () (@var "BOUND_VARIABLE_10565" $$unsorted)) % 0.36/0.75 (define @t171 () (not (tptp.aElementOf0 @t168 @t170))) % 0.36/0.75 (define @t172 () (tptp.aElementOf0 @t170 @t129)) % 0.36/0.75 (define @t173 () (tptp.aSubsetOf0 @t170 @t107)) % 0.36/0.75 (define @t174 () (@var "BOUND_VARIABLE_10563" $$unsorted)) % 0.36/0.75 (define @t175 () (not (tptp.aElementOf0 @t170 (tptp.slbdtsldtrb0 @t174 tptp.xk)))) % 0.36/0.75 (define @t176 () (not (= tptp.xk (tptp.sbrdtbr0 @t170)))) % 0.36/0.75 (define @t177 () (not (tptp.aSubsetOf0 @t170 @t174))) % 0.36/0.75 (define @t178 () (not (forall @t34 (or (not (tptp.aElementOf0 @t29 @t170)) (tptp.aElementOf0 @t29 @t174))))) % 0.36/0.75 (define @t179 () (not (tptp.aSet0 @t170))) % 0.36/0.75 (define @t180 () (not (tptp.isCountable0 @t174))) % 0.36/0.75 (define @t181 () (not (tptp.aSubsetOf0 @t174 @t107))) % 0.36/0.75 (define @t182 () (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t174)) @t132)))) % 0.36/0.75 (define @t183 () (not (tptp.aSet0 @t174))) % 0.36/0.75 (define @t184 () (not @t147)) % 0.36/0.75 (define @t185 () (forall @t34 (or (not @t146) @t150))) % 0.36/0.75 (define @t186 () (not @t185)) % 0.36/0.75 (define @t187 () (not @t134)) % 0.36/0.75 (define @t188 () (not @t111)) % 0.36/0.75 (define @t189 () (forall @t18 (or (not @t120) @t121))) % 0.36/0.75 (define @t190 () (not @t189)) % 0.36/0.75 (define @t191 () (not @t113)) % 0.36/0.75 (define @t192 () (not @t44)) % 0.36/0.75 (define @t193 () (or @t192 @t191 @t190 @t188 @t187 @t186 @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t173 @t172 @t171 @t169)) % 0.36/0.75 (define @t194 () (or @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t173 @t172 @t171 @t169)) % 0.36/0.75 (define @t195 () (or @t192 @t191 @t190 @t188 @t187 @t186 @t184 @t194)) % 0.36/0.75 (define @t196 () (@list @t1 @t174 @t170 @t168)) % 0.36/0.75 (define @t197 () (forall @t196 @t195)) % 0.36/0.75 (define @t198 () (@list @t174 @t170 @t168)) % 0.36/0.75 (define @t199 () (forall @t198 @t195)) % 0.36/0.75 (define @t200 () (forall @t198 @t194)) % 0.36/0.75 (define @t201 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 0.36/0.75 (define @t202 () (@var "BOUND_VARIABLE_10526" $$unsorted)) % 0.36/0.75 (define @t203 () (or @t192 @t191 @t190 @t188 @t187 @t186 @t184 @t200)) % 0.36/0.75 (define @t204 () (tptp.aElementOf0 @t201 @t107)) % 0.36/0.75 (define @t205 () (not (tptp.aElementOf0 @t201 @t202))) % 0.36/0.75 (define @t206 () (tptp.aElementOf0 @t202 @t129)) % 0.36/0.75 (define @t207 () (tptp.aSubsetOf0 @t202 @t107)) % 0.36/0.75 (define @t208 () (not (tptp.aElementOf0 @t202 @t154))) % 0.36/0.75 (define @t209 () (tptp.sbrdtbr0 @t202)) % 0.36/0.75 (define @t210 () (not (tptp.aSubsetOf0 @t202 @t5))) % 0.36/0.75 (define @t211 () (not (forall @t34 (or (not (tptp.aElementOf0 @t29 @t202)) @t81)))) % 0.36/0.75 (define @t212 () (not (tptp.aSet0 @t202))) % 0.36/0.75 (define @t213 () (not @t39)) % 0.36/0.75 (define @t214 () (not @t131)) % 0.36/0.75 (define @t215 () (forall @t18 (or (not @t17) @t132))) % 0.36/0.75 (define @t216 () (not @t215)) % 0.36/0.75 (define @t217 () (not @t19)) % 0.36/0.75 (define @t218 () (@list @t5 @t202 @t201)) % 0.36/0.75 (define @t219 () (forall @t218 (or @t217 @t216 @t214 @t213 @t212 @t211 @t210 (not (= tptp.xk @t209)) @t208 @t207 @t206 @t205 @t204))) % 0.36/0.75 (define @t220 () (or @t192 @t191 @t190 @t188 @t187 @t186 @t184 @t219)) % 0.36/0.75 (define @t221 () (or @t191 @t190 @t188 @t187 @t186 @t184 @t219)) % 0.36/0.75 (define @t222 () (not (= @t209 tptp.xk))) % 0.36/0.75 (define @t223 () (or @t217 @t216 @t214 @t213 @t212 @t211 @t210 @t222 @t208 @t207 @t206 @t205 @t204)) % 0.36/0.75 (define @t224 () (or @t212 @t211 @t210 @t222 @t208 @t207 @t206 @t205 @t204)) % 0.36/0.75 (define @t225 () (or @t217 @t216 @t214 @t213 @t224)) % 0.36/0.75 (define @t226 () (forall @t218 @t225)) % 0.36/0.75 (define @t227 () (@list @t202 @t201)) % 0.36/0.75 (define @t228 () (forall @t227 @t225)) % 0.36/0.75 (define @t229 () (forall @t227 @t224)) % 0.36/0.75 (define @t230 () (@var "BOUND_VARIABLE_10503" $$unsorted)) % 0.36/0.75 (define @t231 () (or @t217 @t216 @t214 @t213 @t229)) % 0.36/0.75 (define @t232 () (tptp.aElementOf0 @t230 @t107)) % 0.36/0.75 (define @t233 () (not (tptp.aElementOf0 @t230 @t15))) % 0.36/0.75 (define @t234 () (not @t155)) % 0.36/0.75 (define @t235 () (not @t156)) % 0.36/0.75 (define @t236 () (not @t157)) % 0.36/0.75 (define @t237 () (not @t33)) % 0.36/0.75 (define @t238 () (forall @t34 (or @t237 @t81))) % 0.36/0.75 (define @t239 () (not @t238)) % 0.36/0.75 (define @t240 () (not @t27)) % 0.36/0.75 (define @t241 () (or @t240 @t239 @t236 @t235 @t234 @t142 @t141 @t233 @t232)) % 0.36/0.75 (define @t242 () (@list @t15 @t230)) % 0.36/0.75 (define @t243 () (forall @t242 @t241)) % 0.36/0.75 (define @t244 () (or @t217 @t216 @t214 @t213 @t243)) % 0.36/0.75 (define @t245 () (forall @t8 @t244)) % 0.36/0.75 (define @t246 () (or @t191 @t190 @t188 @t187 @t186 @t184 @t245)) % 0.36/0.75 (define @t247 () (or @t191 @t190 @t188 @t187 @t186 @t184 @t244)) % 0.36/0.75 (define @t248 () (or @t191 @t190 @t188 @t187 @t217 @t216 @t214 @t213 @t186 @t184 @t243)) % 0.36/0.75 (define @t249 () (or @t191 @t186 @t188 @t184 @t243)) % 0.36/0.75 (define @t250 () (or @t191 @t190 @t188 @t187 @t217 @t216 @t214 @t213)) % 0.36/0.75 (define @t251 () (and @t113 @t189 @t111 @t134 @t19 @t215 @t131 @t39)) % 0.36/0.75 (define @t252 () (or @t233 @t232)) % 0.36/0.75 (define @t253 () (or @t240 @t239 @t236 @t235 @t234 @t252 @t142 @t141)) % 0.36/0.75 (define @t254 () (forall @t242 @t253)) % 0.36/0.75 (define @t255 () (@list @t230)) % 0.36/0.75 (define @t256 () (forall @t255 @t253)) % 0.36/0.75 (define @t257 () (forall @t255 @t252)) % 0.36/0.75 (define @t258 () (or @t240 @t239 @t236 @t235 @t234 @t257 @t142 @t141)) % 0.36/0.75 (define @t259 () (forall @t34 (or @t237 @t143))) % 0.36/0.75 (define @t260 () (or @t240 @t239 @t236 @t235 @t234 @t259 @t142 @t141)) % 0.36/0.75 (define @t261 () (forall @t18 @t260)) % 0.36/0.75 (define @t262 () (or @t191 @t186 @t188 @t184 @t261)) % 0.36/0.75 (define @t263 () (or @t191 @t186 @t188 @t184 @t260)) % 0.36/0.75 (define @t264 () (or @t240 @t239 @t236 @t235 @t234 @t191 @t186 @t188 @t184 @t259 @t142 @t141)) % 0.36/0.75 (define @t265 () (or @t191 @t186 @t188 @t184 @t259 @t142 @t141)) % 0.36/0.75 (define @t266 () (or @t240 @t239 @t236 @t235 @t234)) % 0.36/0.75 (define @t267 () (or @t188 @t184 @t259 @t142 @t141)) % 0.36/0.75 (define @t268 () (or @t259 @t142 @t141)) % 0.36/0.75 (define @t269 () (=> @t148 @t268)) % 0.36/0.75 (define @t270 () (and @t113 @t185)) % 0.36/0.75 (define @t271 () (=> @t270 @t269)) % 0.36/0.75 (define @t272 () (and @t27 @t238 @t157 @t156 @t155)) % 0.36/0.75 (define @t273 () (forall @t196 @t193)) % 0.36/0.75 (define @t274 () (@quantifiers_skolemize @t273 2)) % 0.36/0.75 (define @t275 () (@quantifiers_skolemize @t273 3)) % 0.36/0.75 (define @t276 () (tptp.aElementOf0 @t275 @t274)) % 0.36/0.75 (define @t277 () (@quantifiers_skolemize @t273 0)) % 0.36/0.75 (define @t278 () (tptp.sdtlpdtrp0 tptp.xN @t277)) % 0.36/0.75 (define @t279 () (tptp.szmzizndt0 @t278)) % 0.36/0.75 (define @t280 () (tptp.sdtmndt0 @t278 @t279)) % 0.36/0.75 (define @t281 () (tptp.aElementOf0 @t275 @t280)) % 0.36/0.75 (define @t282 () (not @t276)) % 0.36/0.75 (define @t283 () (@quantifiers_skolemize @t273 1)) % 0.36/0.75 (define @t284 () (forall @t34 (or (not (tptp.aElementOf0 @t29 @t274)) (tptp.aElementOf0 @t29 @t283)))) % 0.36/0.75 (define @t285 () (not @t284)) % 0.36/0.75 (define @t286 () (tptp.aElementOf0 @t15 @t280)) % 0.36/0.75 (define @t287 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t283)) @t286))) % 0.36/0.75 (define @t288 () (not @t287)) % 0.36/0.75 (define @t289 () (tptp.aElementOf0 @t29 @t278)) % 0.36/0.75 (define @t290 () (tptp.aElementOf0 @t15 @t278)) % 0.36/0.75 (define @t291 () (or (not (tptp.aElementOf0 @t277 tptp.szNzAzT0)) (not (tptp.aElementOf0 @t279 @t278)) (not (forall @t18 (or (not @t290) (tptp.sdtlseqdt0 @t279 @t15)))) (not (tptp.aSet0 @t280)) (not (forall @t18 (= @t286 (and @t127 @t290 (not (= @t15 @t279)))))) (not (forall @t34 (or (not @t289) (tptp.sdtlseqdt0 @t279 @t29)))) (not (forall @t34 (= (tptp.aElementOf0 @t29 @t280) (and @t32 @t289 (not (= @t29 @t279)))))) (not (tptp.aSet0 @t283)) @t288 (not (tptp.aSubsetOf0 @t283 @t280)) (not (tptp.isCountable0 @t283)) (not (tptp.aSet0 @t274)) @t285 (not (tptp.aSubsetOf0 @t274 @t283)) (not (= tptp.xk (tptp.sbrdtbr0 @t274))) (not (tptp.aElementOf0 @t274 (tptp.slbdtsldtrb0 @t283 tptp.xk))) (tptp.aSubsetOf0 @t274 @t280) (tptp.aElementOf0 @t274 (tptp.slbdtsldtrb0 @t280 tptp.xk)) @t282 @t281)) % 0.36/0.75 (define @t292 () (@list true)) % 0.36/0.75 (define @t293 () (@list @t291)) % 0.36/0.75 (define @t294 () (@list @t275)) % 0.36/0.75 (define @t295 () (tptp.aElementOf0 @t275 @t283)) % 0.36/0.75 (define @t296 () (not @t295)) % 0.36/0.75 (define @t297 () (or @t296 @t281)) % 0.36/0.75 (define @t298 () (or @t282 @t295)) % 0.36/0.75 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.75 (assume @p2 (forall @t3 (=> @t4 true))) % 0.36/0.75 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.36/0.75 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.36/0.75 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.36/0.75 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.36/0.75 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.36/0.75 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.36/0.75 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.36/0.75 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.36/0.75 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.36/0.75 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.36/0.75 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.36/0.75 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.36/0.75 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.36/0.75 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.36/0.75 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.36/0.75 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.36/0.75 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.36/0.75 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.36/0.75 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.36/0.75 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.36/0.75 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.36/0.75 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.36/0.75 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 0.36/0.75 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 0.36/0.75 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 0.36/0.75 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 0.36/0.75 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 0.36/0.75 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.36/0.75 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 0.36/0.75 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 0.36/0.75 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 0.36/0.75 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.36/0.75 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 0.36/0.75 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.36/0.75 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 0.36/0.75 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.36/0.75 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 0.36/0.75 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 0.36/0.75 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 0.36/0.75 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 0.36/0.75 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 0.36/0.75 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 0.36/0.75 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t54 @t53)))))) % 0.36/0.75 (assume @p46 (forall @t25 (=> @t56 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t55 @t5))))))) % 0.36/0.75 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 0.36/0.75 (assume @p48 (forall @t3 (=> (and @t58 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.36/0.75 (assume @p49 (forall @t25 (=> (and @t58 @t60 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t59 @t1)) (= @t57 @t59))))) % 0.36/0.75 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t61) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.36/0.75 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t61)))) % 0.36/0.75 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.36/0.75 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t62) @t23))))) % 0.36/0.75 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t61 @t62))))) % 0.36/0.75 (assume @p55 (forall @t3 (=> (and @t58 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t62)))))) % 0.36/0.75 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t61) @t1)))) % 0.36/0.75 (assume @p57 (forall @t25 (=> @t56 (forall @t18 (= (= @t15 @t65) (and @t27 (forall @t34 (= @t33 (and @t64 (= @t63 @t5)))))))))) % 0.36/0.75 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t65)))))) % 0.36/0.75 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t65 tptp.slcrc0))))))) % 0.36/0.75 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t65)))))) % 0.36/0.75 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t66 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t66 tptp.slcrc0))) @t26)))))) % 0.36/0.75 (assume @p62 (forall @t25 (=> @t56 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t65) (tptp.isFinite0 @t15)) (exists @t34 (and @t64 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.36/0.75 (assume @p63 (forall @t3 (=> @t67 true))) % 0.36/0.75 (assume @p64 (forall @t3 (=> @t67 (tptp.aSet0 @t68)))) % 0.36/0.75 (assume @p65 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElement0 @t69)))))) % 0.36/0.75 (assume @p66 (forall @t25 (=> @t74 (forall @t18 (= (= @t15 @t73) (and @t27 (forall @t34 (= @t33 (and @t72 (= @t71 @t5)))))))))) % 0.36/0.75 (assume @p67 (forall @t25 (=> @t74 (tptp.aSubsetOf0 @t73 @t68)))) % 0.36/0.75 (assume @p68 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 @t78) (and @t27 (forall @t34 (= @t33 (exists @t77 (and @t76 (= (tptp.sdtlpdtrp0 @t1 @t75) @t29))))))))))))) % 0.36/0.75 (assume @p69 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElementOf0 @t69 @t80)))))) % 0.36/0.75 (assume @p70 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t83 (= @t82 @t5) (forall @t34 (=> @t81 (= (tptp.sdtlpdtrp0 @t15 @t29) @t71))))))))))) % 0.36/0.75 (assume @p71 (forall @t3 (=> @t67 (forall @t8 (=> (and @t79 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t68) @t72 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t71)))) (tptp.isCountable0 @t78))))))) % 0.36/0.75 (assume @p72 (forall @t3 (=> @t67 (=> (and (tptp.isCountable0 @t68) (tptp.isFinite0 @t80)) (and (tptp.aElement0 @t84) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t84))))))) % 0.36/0.75 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.36/0.75 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.36/0.75 (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))) % 0.36/0.75 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t89 (and @t2 @t92 @t91 @t90)) (=> (and (or (and @t2 @t92) @t91) @t90) @t89))) (= @t85 @t88) (tptp.aSet0 @t86) (forall @t3 (= @t87 (exists @t8 (and (tptp.aElementOf0 @t5 @t85) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t87 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t86 tptp.xT))) % 0.36/0.75 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t60) @t39) (forall @t18 (=> (and @t83 (or (forall @t34 (and (=> @t99 (and (or (and @t103 @t102) @t101) @t100)) (=> (and @t103 @t102 @t101 @t100) @t99))) (= @t82 @t66)) (=> (and (tptp.aSet0 @t97) (forall @t34 (= @t98 (exists @t77 (and (tptp.aElementOf0 @t75 @t82) (= (tptp.sdtlpdtrp0 @t15 @t75) @t29)))))) (or (forall @t34 (=> @t98 @t96)) (tptp.aSubsetOf0 @t97 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t96 (exists @t77 (and (tptp.aSet0 @t75) (forall @t95 (=> (tptp.aElementOf0 @t93 @t75) (tptp.aElementOf0 @t93 @t5))) (tptp.aSubsetOf0 @t75 @t5) (tptp.isCountable0 @t75) (forall @t95 (=> (or (and (or (and (tptp.aSet0 @t93) (forall (@list @t94) (=> (tptp.aElementOf0 @t94 @t93) (tptp.aElementOf0 @t94 @t75)))) (tptp.aSubsetOf0 @t93 @t75)) (= (tptp.sbrdtbr0 @t93) @t1)) (tptp.aElementOf0 @t93 (tptp.slbdtsldtrb0 @t75 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t93) @t29))))))))))))))) % 0.36/0.75 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.36/0.75 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.36/0.75 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t117 @t116) @t115) @t114) (and @t113 @t112 @t111 @t110 (tptp.aSet0 @t104) (forall @t8 (=> (tptp.aElementOf0 @t5 @t104) @t108)) (tptp.aSubsetOf0 @t104 @t107) (tptp.isCountable0 @t104))))))) % 0.36/0.75 (assume @p81 (forall @t3 (=> @t44 (and @t117 @t116 @t115 @t114)))) % 0.36/0.75 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t120 @t119)) (tptp.aSubsetOf0 @t105 @t118)))))) % 0.36/0.75 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t123 (or (and (tptp.aElementOf0 @t106 @t118) (forall @t18 (=> @t119 @t121))) (= @t106 (tptp.szmzizndt0 @t118)))))))) % 0.36/0.75 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t135 (and @t113 @t122 (tptp.aSet0 @t124) @t128 (forall @t18 (=> @t125 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t124 tptp.xS) (= (tptp.sbrdtbr0 @t124) tptp.xK) (tptp.aElementOf0 @t124 @t88))))))) % 0.36/0.75 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t136) @t113 @t112 @t111 @t110 (forall @t8 (and (=> @t138 (and @t19 @t133 @t131 @t130)) (=> (and (or (and @t19 @t133) @t131) @t130) @t138))) (= @t137 @t129) (forall @t8 (=> @t135 (and @t113 @t122 @t128 (= (tptp.sdtlpdtrp0 @t136 @t5) (tptp.sdtlpdtrp0 tptp.xc @t124)))))))))) % 0.36/0.75 (assume @p86 (forall @t3 (=> @t44 (and (tptp.aSet0 @t139) (forall @t8 (= @t140 (exists @t18 (and (tptp.aElementOf0 @t15 @t137) (= (tptp.sdtlpdtrp0 @t136 @t15) @t5))))) (forall @t8 (=> @t140 (tptp.aElementOf0 @t5 tptp.xT))) (tptp.aSubsetOf0 @t139 tptp.xT))))) % 0.36/0.75 (assume @p87 @t167) % 0.36/0.75 (assume @p88 true) % 0.36/0.75 (step @p89 :rule aci_norm :args ((= @t195 @t193))) % 0.36/0.75 (step @p90 :rule cong :premises (@p89) :args (@t197)) % 0.36/0.75 (step @p91 :rule quant-merge-prenex :args ((= (forall @t3 @t199) @t197))) % 0.36/0.75 (step @p92 :rule alpha_equiv :args (@t200 (@list @t174 @t170 @t168) (@list @t5 @t202 @t201))) % 0.36/0.75 (step @p93 :rule refl :args (@t184)) % 0.36/0.75 (step @p94 :rule refl :args (@t186)) % 0.36/0.75 (step @p95 :rule refl :args (@t187)) % 0.36/0.75 (step @p96 :rule refl :args (@t188)) % 0.36/0.75 (step @p97 :rule refl :args (@t190)) % 0.36/0.75 (step @p98 :rule refl :args (@t191)) % 0.36/0.75 (step @p99 :rule refl :args (@t192)) % 0.36/0.75 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92) :args (@t203)) % 0.36/0.75 (step @p101 :rule quant-miniscope-or :args ((= @t199 @t203))) % 0.36/0.75 (step @p102 :rule trans :premises (@p101 @p100)) % 0.36/0.75 (step @p103 :rule symm :premises (@p102)) % 0.36/0.75 (step @p104 :rule cong :premises (@p103) :args ((forall @t3 @t220))) % 0.36/0.75 (step @p105 :rule trans :premises (@p104 @p91)) % 0.36/0.75 (step @p106 :rule trans :premises (@p105 @p90)) % 0.36/0.75 (step @p107 :rule aci_norm :args ((= (or @t192 @t221) @t220))) % 0.36/0.75 (step @p108 :rule bool-impl-elim :args (@t44 @t221)) % 0.36/0.75 (step @p109 :rule trans :premises (@p108 @p107)) % 0.36/0.75 (step @p110 :rule cong :premises (@p109) :args ((forall @t3 (=> @t44 @t221)))) % 0.36/0.75 (step @p111 :rule trans :premises (@p110 @p106)) % 0.36/0.75 (step @p112 :rule refl :args (@t204)) % 0.36/0.75 (step @p113 :rule refl :args (@t205)) % 0.36/0.75 (step @p114 :rule refl :args (@t206)) % 0.36/0.75 (step @p115 :rule refl :args (@t207)) % 0.36/0.75 (step @p116 :rule refl :args (@t208)) % 0.36/0.75 (step @p117 :rule eq-symm :args (@t209 tptp.xk)) % 0.36/0.75 (step @p118 :rule cong :premises (@p117) :args (@t222)) % 0.36/0.75 (step @p119 :rule refl :args (@t210)) % 0.36/0.75 (step @p120 :rule refl :args (@t211)) % 0.36/0.75 (step @p121 :rule refl :args (@t212)) % 0.36/0.75 (step @p122 :rule refl :args (@t213)) % 0.36/0.75 (step @p123 :rule refl :args (@t214)) % 0.36/0.75 (step @p124 :rule refl :args (@t216)) % 0.36/0.75 (step @p125 :rule refl :args (@t217)) % 0.36/0.75 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p116 @p115 @p114 @p113 @p112) :args (@t223)) % 0.36/0.75 (step @p127 :rule aci_norm :args ((= @t225 @t223))) % 0.36/0.75 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.75 (step @p129 :rule cong :premises (@p128) :args (@t226)) % 0.36/0.75 (step @p130 :rule quant-merge-prenex :args ((= (forall @t8 @t228) @t226))) % 0.36/0.75 (step @p131 :rule alpha_equiv :args (@t229 (@list @t202 @t201) (@list @t15 @t230))) % 0.36/0.75 (step @p132 :rule refl :args (@t213)) % 0.36/0.75 (step @p133 :rule refl :args (@t214)) % 0.36/0.75 (step @p134 :rule refl :args (@t216)) % 0.36/0.75 (step @p135 :rule refl :args (@t217)) % 0.36/0.75 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131) :args (@t231)) % 0.36/0.75 (step @p137 :rule quant-miniscope-or :args ((= @t228 @t231))) % 0.36/0.75 (step @p138 :rule trans :premises (@p137 @p136)) % 0.36/0.75 (step @p139 :rule symm :premises (@p138)) % 0.36/0.75 (step @p140 :rule cong :premises (@p139) :args (@t245)) % 0.36/0.75 (step @p141 :rule trans :premises (@p140 @p130)) % 0.36/0.75 (step @p142 :rule trans :premises (@p141 @p129)) % 0.36/0.75 (step @p143 :rule refl :args (@t184)) % 0.36/0.75 (step @p144 :rule refl :args (@t186)) % 0.36/0.75 (step @p145 :rule refl :args (@t187)) % 0.36/0.75 (step @p146 :rule refl :args (@t188)) % 0.36/0.75 (step @p147 :rule refl :args (@t190)) % 0.36/0.75 (step @p148 :rule refl :args (@t191)) % 0.36/0.75 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145 @p144 @p143 @p142) :args (@t246)) % 0.36/0.75 (step @p150 :rule quant-miniscope-or :args ((= (forall @t8 @t247) @t246))) % 0.36/0.75 (step @p151 :rule aci_norm :args ((= @t248 @t247))) % 0.36/0.75 (step @p152 :rule cong :premises (@p151) :args ((forall @t8 @t248))) % 0.36/0.75 (step @p153 :rule trans :premises (@p152 @p150)) % 0.36/0.75 (step @p154 :rule trans :premises (@p153 @p149)) % 0.36/0.75 (step @p155 :rule aci_norm :args ((= (or @t250 @t249) @t248))) % 0.36/0.75 (step @p156 :rule refl :args (@t249)) % 0.36/0.75 (step @p157 :rule aci_norm :args ((= (or @t191 (or @t190 (or @t188 (or @t187 (or @t217 (or @t216 (or @t214 @t213))))))) @t250))) % 0.36/0.75 (step @p158 :rule bool-and-de-morgan :args (@t131 @t39 true)) % 0.36/0.75 (step @p159 :rule nary_cong :premises (@p134 @p158) :args ((or @t216 (not (and @t131 @t39))))) % 0.36/0.75 (step @p160 :rule bool-and-de-morgan :args (@t215 @t131 (and @t39))) % 0.36/0.75 (step @p161 :rule trans :premises (@p160 @p159)) % 0.36/0.75 (step @p162 :rule nary_cong :premises (@p135 @p161) :args ((or @t217 (not (and @t215 @t131 @t39))))) % 0.36/0.75 (step @p163 :rule bool-and-de-morgan :args (@t19 @t215 (and @t131 @t39))) % 0.36/0.75 (step @p164 :rule trans :premises (@p163 @p162)) % 0.36/0.75 (step @p165 :rule nary_cong :premises (@p95 @p164) :args ((or @t187 (not (and @t19 @t215 @t131 @t39))))) % 0.36/0.75 (step @p166 :rule bool-and-de-morgan :args (@t134 @t19 (and @t215 @t131 @t39))) % 0.36/0.75 (step @p167 :rule trans :premises (@p166 @p165)) % 0.36/0.75 (step @p168 :rule nary_cong :premises (@p96 @p167) :args ((or @t188 (not (and @t134 @t19 @t215 @t131 @t39))))) % 0.36/0.75 (step @p169 :rule bool-and-de-morgan :args (@t111 @t134 (and @t19 @t215 @t131 @t39))) % 0.36/0.75 (step @p170 :rule trans :premises (@p169 @p168)) % 0.36/0.75 (step @p171 :rule nary_cong :premises (@p97 @p170) :args ((or @t190 (not (and @t111 @t134 @t19 @t215 @t131 @t39))))) % 0.36/0.75 (step @p172 :rule bool-and-de-morgan :args (@t189 @t111 (and @t134 @t19 @t215 @t131 @t39))) % 0.36/0.75 (step @p173 :rule trans :premises (@p172 @p171)) % 0.36/0.75 (step @p174 :rule nary_cong :premises (@p98 @p173) :args ((or @t191 (not (and @t189 @t111 @t134 @t19 @t215 @t131 @t39))))) % 0.36/0.75 (step @p175 :rule bool-and-de-morgan :args (@t113 @t189 (and @t111 @t134 @t19 @t215 @t131 @t39))) % 0.36/0.75 (step @p176 :rule trans :premises (@p175 @p174)) % 0.36/0.75 (step @p177 :rule trans :premises (@p176 @p157)) % 0.36/0.75 (step @p178 :rule nary_cong :premises (@p177 @p156) :args ((or (not @t251) @t249))) % 0.36/0.75 (step @p179 :rule trans :premises (@p178 @p155)) % 0.36/0.75 (step @p180 :rule bool-impl-elim :args (@t251 @t249)) % 0.36/0.75 (step @p181 :rule trans :premises (@p180 @p179)) % 0.36/0.75 (step @p182 :rule cong :premises (@p181) :args ((forall @t8 (=> @t251 @t249)))) % 0.36/0.75 (step @p183 :rule trans :premises (@p182 @p154)) % 0.36/0.75 (step @p184 :rule aci_norm :args ((= @t253 @t241))) % 0.36/0.75 (step @p185 :rule cong :premises (@p184) :args (@t254)) % 0.36/0.75 (step @p186 :rule quant-merge-prenex :args ((= (forall @t18 @t256) @t254))) % 0.36/0.75 (step @p187 :rule refl :args (@t141)) % 0.36/0.75 (step @p188 :rule refl :args (@t142)) % 0.36/0.75 (step @p189 :rule alpha_equiv :args (@t257 (@list @t230) (@list @t29))) % 0.36/0.75 (step @p190 :rule refl :args (@t234)) % 0.36/0.75 (step @p191 :rule refl :args (@t235)) % 0.36/0.75 (step @p192 :rule refl :args (@t236)) % 0.36/0.75 (step @p193 :rule refl :args (@t239)) % 0.36/0.75 (step @p194 :rule refl :args (@t240)) % 0.36/0.75 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187) :args (@t258)) % 0.36/0.75 (step @p196 :rule quant-miniscope-or :args ((= @t256 @t258))) % 0.36/0.75 (step @p197 :rule trans :premises (@p196 @p195)) % 0.36/0.75 (step @p198 :rule symm :premises (@p197)) % 0.36/0.75 (step @p199 :rule cong :premises (@p198) :args (@t261)) % 0.36/0.75 (step @p200 :rule trans :premises (@p199 @p186)) % 0.36/0.75 (step @p201 :rule trans :premises (@p200 @p185)) % 0.36/0.75 (step @p202 :rule nary_cong :premises (@p148 @p144 @p146 @p143 @p201) :args (@t262)) % 0.36/0.75 (step @p203 :rule quant-miniscope-or :args ((= (forall @t18 @t263) @t262))) % 0.36/0.75 (step @p204 :rule aci_norm :args ((= @t264 @t263))) % 0.36/0.75 (step @p205 :rule cong :premises (@p204) :args ((forall @t18 @t264))) % 0.36/0.75 (step @p206 :rule trans :premises (@p205 @p203)) % 0.36/0.75 (step @p207 :rule trans :premises (@p206 @p202)) % 0.36/0.75 (step @p208 :rule aci_norm :args ((= (or @t266 @t265) @t264))) % 0.36/0.75 (step @p209 :rule aci_norm :args ((= (or (or @t191 @t186) @t267) @t265))) % 0.36/0.75 (step @p210 :rule aci_norm :args ((= (or (or @t188 @t184) @t268) @t267))) % 0.36/0.75 (step @p211 :rule refl :args (@t268)) % 0.36/0.75 (step @p212 :rule bool-and-de-morgan :args (@t111 @t147 true)) % 0.36/0.75 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t148) @t268))) % 0.36/0.75 (step @p214 :rule trans :premises (@p213 @p210)) % 0.36/0.75 (step @p215 :rule bool-impl-elim :args (@t148 @t268)) % 0.36/0.75 (step @p216 :rule trans :premises (@p215 @p214)) % 0.36/0.75 (step @p217 :rule bool-and-de-morgan :args (@t113 @t185 true)) % 0.36/0.75 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t270) @t269))) % 0.36/0.75 (step @p219 :rule trans :premises (@p218 @p209)) % 0.36/0.75 (step @p220 :rule bool-impl-elim :args (@t270 @t269)) % 0.36/0.75 (step @p221 :rule trans :premises (@p220 @p219)) % 0.36/0.75 (step @p222 :rule aci_norm :args ((= (or @t240 (or @t239 (or @t236 (or @t235 @t234)))) @t266))) % 0.36/0.75 (step @p223 :rule bool-and-de-morgan :args (@t156 @t155 true)) % 0.36/0.75 (step @p224 :rule nary_cong :premises (@p192 @p223) :args ((or @t236 (not (and @t156 @t155))))) % 0.36/0.75 (step @p225 :rule bool-and-de-morgan :args (@t157 @t156 (and @t155))) % 0.36/0.75 (step @p226 :rule trans :premises (@p225 @p224)) % 0.36/0.75 (step @p227 :rule nary_cong :premises (@p193 @p226) :args ((or @t239 (not (and @t157 @t156 @t155))))) % 0.36/0.75 (step @p228 :rule bool-and-de-morgan :args (@t238 @t157 (and @t156 @t155))) % 0.36/0.75 (step @p229 :rule trans :premises (@p228 @p227)) % 0.36/0.75 (step @p230 :rule nary_cong :premises (@p194 @p229) :args ((or @t240 (not (and @t238 @t157 @t156 @t155))))) % 0.36/0.75 (step @p231 :rule bool-and-de-morgan :args (@t27 @t238 (and @t157 @t156 @t155))) % 0.36/0.75 (step @p232 :rule trans :premises (@p231 @p230)) % 0.36/0.75 (step @p233 :rule trans :premises (@p232 @p222)) % 0.36/0.75 (step @p234 :rule nary_cong :premises (@p233 @p221) :args ((or (not @t272) @t271))) % 0.36/0.75 (step @p235 :rule trans :premises (@p234 @p208)) % 0.36/0.75 (step @p236 :rule bool-impl-elim :args (@t272 @t271)) % 0.36/0.75 (step @p237 :rule trans :premises (@p236 @p235)) % 0.36/0.75 (step @p238 :rule cong :premises (@p237) :args ((forall @t18 (=> @t272 @t271)))) % 0.36/0.75 (step @p239 :rule trans :premises (@p238 @p207)) % 0.36/0.75 (step @p240 :rule refl :args (@t141)) % 0.36/0.75 (step @p241 :rule refl :args (@t142)) % 0.36/0.75 (step @p242 :rule bool-impl-elim :args (@t33 @t143)) % 0.36/0.75 (step @p243 :rule cong :premises (@p242) :args (@t144)) % 0.36/0.75 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240) :args (@t145)) % 0.36/0.75 (step @p245 :rule refl :args (@t148)) % 0.36/0.75 (step @p246 :rule cong :premises (@p245 @p244) :args (@t149)) % 0.36/0.75 (step @p247 :rule bool-impl-elim :args (@t146 @t150)) % 0.36/0.75 (step @p248 :rule cong :premises (@p247) :args (@t151)) % 0.36/0.75 (step @p249 :rule refl :args (@t113)) % 0.36/0.75 (step @p250 :rule nary_cong :premises (@p249 @p248) :args (@t152)) % 0.36/0.75 (step @p251 :rule cong :premises (@p250 @p246) :args (@t153)) % 0.36/0.75 (step @p252 :rule refl :args (@t155)) % 0.36/0.75 (step @p253 :rule refl :args (@t156)) % 0.36/0.75 (step @p254 :rule refl :args (@t157)) % 0.36/0.75 (step @p255 :rule bool-impl-elim :args (@t33 @t81)) % 0.36/0.75 (step @p256 :rule cong :premises (@p255) :args (@t158)) % 0.36/0.75 (step @p257 :rule refl :args (@t27)) % 0.36/0.75 (step @p258 :rule nary_cong :premises (@p257 @p256 @p254 @p253 @p252) :args (@t159)) % 0.36/0.75 (step @p259 :rule cong :premises (@p258 @p251) :args (@t160)) % 0.36/0.75 (step @p260 :rule cong :premises (@p259) :args (@t161)) % 0.36/0.75 (step @p261 :rule trans :premises (@p260 @p239)) % 0.36/0.75 (step @p262 :rule refl :args (@t39)) % 0.36/0.75 (step @p263 :rule refl :args (@t131)) % 0.36/0.75 (step @p264 :rule bool-impl-elim :args (@t17 @t132)) % 0.36/0.75 (step @p265 :rule cong :premises (@p264) :args (@t133)) % 0.36/0.75 (step @p266 :rule refl :args (@t19)) % 0.36/0.75 (step @p267 :rule refl :args (@t134)) % 0.36/0.75 (step @p268 :rule refl :args (@t111)) % 0.36/0.75 (step @p269 :rule bool-impl-elim :args (@t120 @t121)) % 0.36/0.75 (step @p270 :rule cong :premises (@p269) :args (@t122)) % 0.36/0.75 (step @p271 :rule nary_cong :premises (@p249 @p270 @p268 @p267 @p266 @p265 @p263 @p262) :args (@t162)) % 0.36/0.75 (step @p272 :rule cong :premises (@p271 @p261) :args (@t163)) % 0.36/0.75 (step @p273 :rule cong :premises (@p272) :args (@t164)) % 0.36/0.75 (step @p274 :rule trans :premises (@p273 @p183)) % 0.36/0.75 (step @p275 :rule refl :args (@t44)) % 0.36/0.75 (step @p276 :rule cong :premises (@p275 @p274) :args (@t165)) % 0.36/0.75 (step @p277 :rule cong :premises (@p276) :args (@t166)) % 0.36/0.75 (step @p278 :rule trans :premises (@p277 @p111)) % 0.36/0.75 (step @p279 :rule cong :premises (@p278) :args (@t167)) % 0.36/0.75 (step @p280 :rule eq_resolve :premises (@p87 @p279)) % 0.36/0.75 (step @p281 :rule skolemize :premises (@p280)) % 0.36/0.75 (step @p282 :rule bool-double-not-elim :args (@t276)) % 0.36/0.75 (step @p283 :rule refl :args (@t291)) % 0.36/0.75 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t291 (not @t282)))) % 0.36/0.75 (step @p285 :rule cnf_or_neg :args (@t291 18)) % 0.36/0.75 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 0.36/0.75 (step @p287 :rule reordering :premises (@p286) :args ((or @t276 @t291))) % 0.36/0.75 (step @p288 :rule chain_m_resolution :premises (@p287 @p281) :args (@t276 @t292 @t293)) % 0.36/0.75 (step @p289 :rule bool-double-not-elim :args (@t284)) % 0.36/0.75 (step @p290 :rule nary_cong :premises (@p283 @p289) :args ((or @t291 (not @t285)))) % 0.36/0.75 (step @p291 :rule cnf_or_neg :args (@t291 12)) % 0.36/0.75 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.36/0.75 (step @p293 :rule reordering :premises (@p292) :args ((or @t284 @t291))) % 0.36/0.75 (step @p294 :rule chain_m_resolution :premises (@p293 @p281) :args (@t284 @t292 @t293)) % 0.36/0.75 (step @p295 :rule instantiate :premises (@p294) :args (@t294)) % 0.36/0.75 (step @p296 :rule bool-double-not-elim :args (@t287)) % 0.36/0.75 (step @p297 :rule nary_cong :premises (@p283 @p296) :args ((or @t291 (not @t288)))) % 0.36/0.75 (step @p298 :rule cnf_or_neg :args (@t291 8)) % 0.36/0.75 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.36/0.75 (step @p300 :rule reordering :premises (@p299) :args ((or @t287 @t291))) % 0.36/0.75 (step @p301 :rule chain_m_resolution :premises (@p300 @p281) :args (@t287 @t292 @t293)) % 0.36/0.75 (step @p302 :rule instantiate :premises (@p301) :args (@t294)) % 0.36/0.75 (step @p303 :rule cnf_or_neg :args (@t291 19)) % 0.36/0.75 (step @p304 :rule chain_m_resolution :premises (@p303 @p281) :args ((not @t281) @t292 @t293)) % 0.36/0.75 (step @p305 :rule cnf_or_pos :args (@t297)) % 0.36/0.75 (step @p306 :rule reordering :premises (@p305) :args ((or @t281 @t296 (not @t297)))) % 0.36/0.75 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p302) :args (@t296 (@list true false) (@list @t281 @t297))) % 0.36/0.75 (step @p308 :rule cnf_or_pos :args (@t298)) % 0.36/0.75 (step @p309 :rule reordering :premises (@p308) :args ((or @t282 @t295 (not @t298)))) % 0.36/0.75 (step @p310 false :rule chain_m_resolution :premises (@p309 @p307 @p295 @p288) :args (false (@list true false false) (@list @t295 @t298 @t276))) % 0.36/0.75 ) % 0.36/0.75 % SZS output end Proof % 0.36/0.75 % cvc5 exiting %------------------------------------------------------------------------------