%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM624+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 : n022.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 08:40:03 AM UTC 2026 % Result : Theorem 0.39s 0.83s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM624+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:38:08 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.83 % SZS status Theorem % 0.39/0.83 % SZS output start Proof % 0.39/0.83 ( % 0.39/0.83 (declare-sort $$unsorted 0) % 0.39/0.83 (declare-const tptp.xm $$unsorted) % 0.39/0.83 (declare-const tptp.xx $$unsorted) % 0.39/0.83 (declare-const tptp.xn $$unsorted) % 0.39/0.83 (declare-const tptp.xQ $$unsorted) % 0.39/0.83 (declare-const tptp.xN $$unsorted) % 0.39/0.83 (declare-const tptp.sz00 $$unsorted) % 0.39/0.83 (declare-const tptp.xC $$unsorted) % 0.39/0.83 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.szNzAzT0 $$unsorted) % 0.39/0.83 (declare-const tptp.xk $$unsorted) % 0.39/0.83 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.xd $$unsorted) % 0.39/0.83 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.xP $$unsorted) % 0.39/0.83 (declare-const tptp.xO $$unsorted) % 0.39/0.83 (declare-const tptp.xe $$unsorted) % 0.39/0.83 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.83 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.xK $$unsorted) % 0.39/0.83 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.xp $$unsorted) % 0.39/0.83 (declare-const tptp.xT $$unsorted) % 0.39/0.83 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.xS $$unsorted) % 0.39/0.83 (declare-const tptp.xc $$unsorted) % 0.39/0.83 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.slcrc0 $$unsorted) % 0.39/0.83 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.83 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.83 (define @t2 () (tptp.aSet0 @t1)) % 0.39/0.83 (define @t3 () (@list @t1)) % 0.39/0.83 (define @t4 () (tptp.aElement0 @t1)) % 0.39/0.83 (define @t5 () (@var "W1" $$unsorted)) % 0.39/0.83 (define @t6 () (tptp.aElement0 @t5)) % 0.39/0.83 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.39/0.83 (define @t8 () (@list @t5)) % 0.39/0.83 (define @t9 () (tptp.isFinite0 @t1)) % 0.39/0.83 (define @t10 () (exists @t8 @t7)) % 0.39/0.83 (define @t11 () (not @t10)) % 0.39/0.83 (define @t12 () (and @t2 @t11)) % 0.39/0.83 (define @t13 () (= @t1 tptp.slcrc0)) % 0.39/0.83 (define @t14 () (= @t13 @t12)) % 0.39/0.83 (define @t15 () (forall @t3 @t14)) % 0.39/0.83 (define @t16 () (tptp.isCountable0 @t1)) % 0.39/0.83 (define @t17 () (not @t9)) % 0.39/0.83 (define @t18 () (and @t2 @t16)) % 0.39/0.83 (define @t19 () (not @t13)) % 0.39/0.83 (define @t20 () (forall @t3 (=> @t18 @t19))) % 0.39/0.83 (define @t21 () (@var "W2" $$unsorted)) % 0.39/0.83 (define @t22 () (tptp.aElementOf0 @t21 @t1)) % 0.39/0.83 (define @t23 () (tptp.aElementOf0 @t21 @t5)) % 0.39/0.83 (define @t24 () (@list @t21)) % 0.39/0.83 (define @t25 () (tptp.aSet0 @t5)) % 0.39/0.83 (define @t26 () (tptp.aSubsetOf0 @t5 @t1)) % 0.39/0.83 (define @t27 () (tptp.isFinite0 @t5)) % 0.39/0.83 (define @t28 () (and @t2 @t9)) % 0.39/0.83 (define @t29 () (= @t1 @t5)) % 0.39/0.83 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 0.39/0.83 (define @t31 () (@list @t1 @t5)) % 0.39/0.83 (define @t32 () (tptp.aSubsetOf0 @t5 @t21)) % 0.39/0.83 (define @t33 () (tptp.aSet0 @t21)) % 0.39/0.83 (define @t34 () (@list @t1 @t5 @t21)) % 0.39/0.83 (define @t35 () (@var "W3" $$unsorted)) % 0.39/0.83 (define @t36 () (= @t35 @t5)) % 0.39/0.83 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 0.39/0.83 (define @t38 () (tptp.aElement0 @t35)) % 0.39/0.83 (define @t39 () (tptp.aElementOf0 @t35 @t21)) % 0.39/0.83 (define @t40 () (@list @t35)) % 0.39/0.83 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 0.39/0.83 (define @t42 () (and @t2 @t6)) % 0.39/0.83 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 0.39/0.83 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 0.39/0.83 (define @t45 () (tptp.isCountable0 @t5)) % 0.39/0.83 (define @t46 () (and @t25 @t45)) % 0.39/0.83 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 0.39/0.83 (define @t48 () (and @t25 @t27)) % 0.39/0.83 (define @t49 () (tptp.szszuzczcdt0 @t1)) % 0.39/0.83 (define @t50 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.39/0.83 (define @t51 () (tptp.szszuzczcdt0 @t5)) % 0.39/0.83 (define @t52 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.39/0.83 (define @t53 () (and @t50 @t52)) % 0.39/0.83 (define @t54 () (= @t1 tptp.sz00)) % 0.39/0.83 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.39/0.83 (define @t56 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.39/0.83 (define @t57 () (tptp.sdtlseqdt0 @t5 @t21)) % 0.39/0.83 (define @t58 () (tptp.aElementOf0 @t21 tptp.szNzAzT0)) % 0.39/0.83 (define @t59 () (tptp.sbrdtbr0 @t1)) % 0.39/0.83 (define @t60 () (not @t7)) % 0.39/0.83 (define @t61 () (tptp.sbrdtbr0 @t5)) % 0.39/0.83 (define @t62 () (tptp.sbrdtbr0 @t21)) % 0.39/0.83 (define @t63 () (and @t2 @t52)) % 0.39/0.83 (define @t64 () (tptp.szmzizndt0 @t1)) % 0.39/0.83 (define @t65 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.39/0.83 (define @t66 () (tptp.szmzizndt0 @t5)) % 0.39/0.83 (define @t67 () (= @t64 @t66)) % 0.39/0.83 (define @t68 () (tptp.aElementOf0 @t66 @t1)) % 0.39/0.83 (define @t69 () (tptp.aElementOf0 @t64 @t5)) % 0.39/0.83 (define @t70 () (and @t69 @t68)) % 0.39/0.83 (define @t71 () (=> @t70 @t67)) % 0.39/0.83 (define @t72 () (= @t5 tptp.slcrc0)) % 0.39/0.83 (define @t73 () (not @t72)) % 0.39/0.83 (define @t74 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.39/0.83 (define @t75 () (and @t65 @t74 @t19 @t73)) % 0.39/0.83 (define @t76 () (forall @t31 (=> @t75 @t71))) % 0.39/0.83 (define @t77 () (tptp.slbdtrb0 @t1)) % 0.39/0.83 (define @t78 () (tptp.slbdtrb0 @t5)) % 0.39/0.83 (define @t79 () (tptp.sbrdtbr0 @t35)) % 0.39/0.83 (define @t80 () (tptp.aSubsetOf0 @t35 @t1)) % 0.39/0.83 (define @t81 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.39/0.83 (define @t82 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.39/0.83 (define @t83 () (tptp.aFunction0 @t1)) % 0.39/0.83 (define @t84 () (tptp.szDzozmdt0 @t1)) % 0.39/0.83 (define @t85 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.39/0.83 (define @t86 () (tptp.aElementOf0 @t5 @t84)) % 0.39/0.83 (define @t87 () (tptp.sdtlpdtrp0 @t1 @t35)) % 0.39/0.83 (define @t88 () (tptp.aElementOf0 @t35 @t84)) % 0.39/0.83 (define @t89 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.39/0.83 (define @t90 () (and @t83 @t6)) % 0.39/0.83 (define @t91 () (@var "W4" $$unsorted)) % 0.39/0.83 (define @t92 () (tptp.aElementOf0 @t91 @t5)) % 0.39/0.83 (define @t93 () (@list @t91)) % 0.39/0.83 (define @t94 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.39/0.83 (define @t95 () (tptp.aSubsetOf0 @t5 @t84)) % 0.39/0.83 (define @t96 () (tptp.sdtlcdtrc0 @t1 @t84)) % 0.39/0.83 (define @t97 () (tptp.aElementOf0 @t35 @t5)) % 0.39/0.83 (define @t98 () (tptp.szDzozmdt0 @t21)) % 0.39/0.83 (define @t99 () (tptp.aFunction0 @t21)) % 0.39/0.83 (define @t100 () (tptp.szDzizrdt0 @t1)) % 0.39/0.83 (define @t101 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.39/0.83 (define @t102 () (tptp.szDzozmdt0 tptp.xc)) % 0.39/0.83 (define @t103 () (tptp.sdtlcdtrc0 tptp.xc @t102)) % 0.39/0.83 (define @t104 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.39/0.83 (define @t105 () (tptp.aElementOf0 @t1 @t103)) % 0.39/0.83 (define @t106 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.39/0.83 (define @t107 () (tptp.aElementOf0 @t1 @t102)) % 0.39/0.83 (define @t108 () (= @t59 tptp.xK)) % 0.39/0.83 (define @t109 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.39/0.83 (define @t110 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.39/0.83 (define @t111 () (@var "W5" $$unsorted)) % 0.39/0.83 (define @t112 () (@var "W6" $$unsorted)) % 0.39/0.83 (define @t113 () (@list @t111)) % 0.39/0.83 (define @t114 () (tptp.aElementOf0 @t35 tptp.xT)) % 0.39/0.83 (define @t115 () (tptp.sdtlcdtrc0 @t21 @t98)) % 0.39/0.83 (define @t116 () (tptp.aElementOf0 @t35 @t115)) % 0.39/0.83 (define @t117 () (tptp.aElementOf0 @t35 @t98)) % 0.39/0.83 (define @t118 () (= @t79 @t1)) % 0.39/0.83 (define @t119 () (tptp.aSubsetOf0 @t35 @t5)) % 0.39/0.83 (define @t120 () (tptp.aElementOf0 @t91 @t35)) % 0.39/0.83 (define @t121 () (forall @t93 (=> @t120 @t92))) % 0.39/0.83 (define @t122 () (tptp.aSet0 @t35)) % 0.39/0.83 (define @t123 () (tptp.sdtlpdtrp0 tptp.xN @t49)) % 0.39/0.83 (define @t124 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.39/0.83 (define @t125 () (tptp.szmzizndt0 @t124)) % 0.39/0.83 (define @t126 () (tptp.sdtmndt0 @t124 @t125)) % 0.39/0.83 (define @t127 () (tptp.aElementOf0 @t5 @t126)) % 0.39/0.83 (define @t128 () (tptp.aElementOf0 @t5 @t124)) % 0.39/0.83 (define @t129 () (forall @t8 (= @t127 (and @t6 @t128 (not (= @t5 @t125)))))) % 0.39/0.83 (define @t130 () (tptp.aSet0 @t126)) % 0.39/0.83 (define @t131 () (forall @t8 (=> @t128 (tptp.sdtlseqdt0 @t125 @t5)))) % 0.39/0.83 (define @t132 () (tptp.aElementOf0 @t125 @t124)) % 0.39/0.83 (define @t133 () (tptp.isCountable0 @t124)) % 0.39/0.83 (define @t134 () (tptp.aSubsetOf0 @t124 tptp.szNzAzT0)) % 0.39/0.83 (define @t135 () (forall @t8 (=> @t128 @t52))) % 0.39/0.83 (define @t136 () (tptp.aSet0 @t124)) % 0.39/0.83 (define @t137 () (and @t136 @t135 @t134 @t133)) % 0.39/0.83 (define @t138 () (=> @t50 @t137)) % 0.39/0.83 (define @t139 () (forall @t3 @t138)) % 0.39/0.83 (define @t140 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.39/0.83 (define @t141 () (tptp.aElementOf0 @t21 @t140)) % 0.39/0.83 (define @t142 () (tptp.aElementOf0 @t21 @t124)) % 0.39/0.83 (define @t143 () (tptp.sdtlseqdt0 @t125 @t21)) % 0.39/0.83 (define @t144 () (forall @t24 (=> @t142 @t143))) % 0.39/0.83 (define @t145 () (and @t132 @t144)) % 0.39/0.83 (define @t146 () (tptp.sdtpldt0 @t5 @t125)) % 0.39/0.83 (define @t147 () (tptp.aElementOf0 @t21 @t146)) % 0.39/0.83 (define @t148 () (= @t21 @t125)) % 0.39/0.83 (define @t149 () (tptp.aElement0 @t21)) % 0.39/0.83 (define @t150 () (forall @t24 (= @t147 (and @t149 (or @t23 @t148))))) % 0.39/0.83 (define @t151 () (tptp.slbdtsldtrb0 @t126 tptp.xk)) % 0.39/0.83 (define @t152 () (= @t61 tptp.xk)) % 0.39/0.83 (define @t153 () (tptp.aSubsetOf0 @t5 @t126)) % 0.39/0.83 (define @t154 () (tptp.aElementOf0 @t21 @t126)) % 0.39/0.83 (define @t155 () (forall @t24 (=> @t23 @t154))) % 0.39/0.83 (define @t156 () (and @t130 (forall @t24 (= @t154 (and @t149 @t142 (not @t148)))))) % 0.39/0.83 (define @t157 () (and @t25 (=> @t145 (=> @t156 (or (and (or @t155 @t153) @t152) (tptp.aElementOf0 @t5 @t151)))))) % 0.39/0.83 (define @t158 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.39/0.83 (define @t159 () (tptp.sdtlpdtrp0 @t158 @t5)) % 0.39/0.83 (define @t160 () (tptp.szDzozmdt0 @t158)) % 0.39/0.83 (define @t161 () (tptp.aElementOf0 @t5 @t160)) % 0.39/0.83 (define @t162 () (or (and @t25 @t155) @t153)) % 0.39/0.83 (define @t163 () (tptp.sdtlcdtrc0 @t158 @t160)) % 0.39/0.83 (define @t164 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.39/0.83 (define @t165 () (tptp.aElementOf0 @t5 @t163)) % 0.39/0.83 (define @t166 () (= (tptp.sdtlpdtrp0 @t158 @t21) @t5)) % 0.39/0.83 (define @t167 () (tptp.aSubsetOf0 @t21 @t126)) % 0.39/0.83 (define @t168 () (tptp.aElementOf0 @t35 @t126)) % 0.39/0.83 (define @t169 () (forall @t40 (=> @t39 @t168))) % 0.39/0.83 (define @t170 () (tptp.aElementOf0 @t35 @t124)) % 0.39/0.83 (define @t171 () (forall @t40 (= @t168 (and @t38 @t170 (not (= @t35 @t125)))))) % 0.39/0.83 (define @t172 () (forall @t40 (=> @t170 (tptp.sdtlseqdt0 @t125 @t35)))) % 0.39/0.83 (define @t173 () (= @t62 tptp.xk)) % 0.39/0.83 (define @t174 () (tptp.slbdtsldtrb0 @t123 tptp.xk)) % 0.39/0.83 (define @t175 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.39/0.83 (define @t176 () (tptp.sdtlseqdt0 @t175 @t5)) % 0.39/0.83 (define @t177 () (forall @t8 (=> @t128 @t176))) % 0.39/0.83 (define @t178 () (tptp.aElementOf0 @t175 @t124)) % 0.39/0.83 (define @t179 () (and @t178 @t177 (= @t175 @t125))) % 0.39/0.83 (define @t180 () (=> @t50 @t179)) % 0.39/0.83 (define @t181 () (forall @t3 @t180)) % 0.39/0.83 (define @t182 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.39/0.83 (define @t183 () (tptp.szDzozmdt0 tptp.xd)) % 0.39/0.83 (define @t184 () (tptp.sdtlcdtrc0 tptp.xd @t183)) % 0.39/0.83 (define @t185 () (tptp.aElementOf0 @t1 @t184)) % 0.39/0.83 (define @t186 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.39/0.83 (define @t187 () (tptp.szDzizrdt0 tptp.xd)) % 0.39/0.83 (define @t188 () (tptp.sdtlbdtrb0 tptp.xd @t187)) % 0.39/0.83 (define @t189 () (tptp.aElementOf0 @t1 @t188)) % 0.39/0.83 (define @t190 () (forall @t3 (= @t189 (and (tptp.aElementOf0 @t1 @t183) (= @t182 @t187))))) % 0.39/0.83 (define @t191 () (tptp.aSet0 @t188)) % 0.39/0.83 (define @t192 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 0.39/0.83 (define @t193 () (tptp.aElementOf0 @t5 @t188)) % 0.39/0.83 (define @t194 () (exists @t8 (and @t193 @t192))) % 0.39/0.83 (define @t195 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.39/0.83 (define @t196 () (tptp.aSet0 tptp.xO)) % 0.39/0.83 (define @t197 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.39/0.83 (define @t198 () (forall @t3 (=> @t197 @t195))) % 0.39/0.83 (define @t199 () (= tptp.xQ tptp.slcrc0)) % 0.39/0.83 (define @t200 () (exists @t3 @t197)) % 0.39/0.83 (define @t201 () (not @t200)) % 0.39/0.83 (define @t202 () (or @t201 @t199)) % 0.39/0.83 (define @t203 () (not @t202)) % 0.39/0.83 (define @t204 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 0.39/0.83 (define @t205 () (forall @t3 (=> @t197 @t50))) % 0.39/0.83 (define @t206 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 0.39/0.83 (define @t207 () (forall @t3 (=> @t197 @t101))) % 0.39/0.83 (define @t208 () (tptp.szmzizndt0 tptp.xQ)) % 0.39/0.83 (define @t209 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 0.39/0.83 (define @t210 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.39/0.83 (define @t211 () (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t187)) % 0.39/0.83 (define @t212 () (tptp.aElementOf0 tptp.xx tptp.xQ)) % 0.39/0.83 (define @t213 () (tptp.sdtlpdtrp0 tptp.xe tptp.xm)) % 0.39/0.83 (define @t214 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 0.39/0.83 (define @t215 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 0.39/0.83 (define @t216 () (tptp.aElementOf0 @t1 @t215)) % 0.39/0.83 (define @t217 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))) % 0.39/0.83 (define @t218 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 0.39/0.83 (define @t219 () (tptp.aElementOf0 tptp.xp @t215)) % 0.39/0.83 (define @t220 () (@var "BOUND_VARIABLE_10181" $$unsorted)) % 0.39/0.83 (define @t221 () (or (not (tptp.aElementOf0 @t220 @t124)) (tptp.aElementOf0 @t220 tptp.szNzAzT0))) % 0.39/0.83 (define @t222 () (and @t136 @t221 @t134 @t133)) % 0.39/0.83 (define @t223 () (not @t50)) % 0.39/0.83 (define @t224 () (or @t223 @t222)) % 0.39/0.83 (define @t225 () (@list @t220)) % 0.39/0.83 (define @t226 () (forall @t225 @t224)) % 0.39/0.83 (define @t227 () (forall @t225 @t133)) % 0.39/0.83 (define @t228 () (forall @t225 @t134)) % 0.39/0.83 (define @t229 () (forall @t225 @t221)) % 0.39/0.83 (define @t230 () (@list @t5)) % 0.39/0.83 (define @t231 () (forall @t225 @t136)) % 0.39/0.83 (define @t232 () (and @t231 @t229 @t228 @t227)) % 0.39/0.83 (define @t233 () (forall @t225 @t222)) % 0.39/0.83 (define @t234 () (or @t223 @t233)) % 0.39/0.83 (define @t235 () (not @t128)) % 0.39/0.83 (define @t236 () (and @t136 (forall @t8 (or @t235 @t52)) @t134 @t133)) % 0.39/0.83 (define @t237 () (@list tptp.xm tptp.xp)) % 0.39/0.83 (define @t238 () (tptp.isCountable0 @t215)) % 0.39/0.83 (define @t239 () (tptp.aSubsetOf0 @t215 tptp.szNzAzT0)) % 0.39/0.83 (define @t240 () (not @t219)) % 0.39/0.83 (define @t241 () (and (tptp.aSet0 @t215) (or @t240 (tptp.aElementOf0 tptp.xp tptp.szNzAzT0)) @t239 @t238)) % 0.39/0.83 (define @t242 () (not @t214)) % 0.39/0.83 (define @t243 () (or @t242 @t241)) % 0.39/0.83 (define @t244 () (@list false false)) % 0.39/0.83 (define @t245 () (not @t241)) % 0.39/0.83 (define @t246 () (@list false)) % 0.39/0.83 (define @t247 () (@list @t241)) % 0.39/0.83 (define @t248 () (not @t68)) % 0.39/0.83 (define @t249 () (not @t69)) % 0.39/0.83 (define @t250 () (not @t74)) % 0.39/0.83 (define @t251 () (not @t65)) % 0.39/0.83 (define @t252 () (or @t251 @t250 @t13 @t72 @t249 @t248 @t67)) % 0.39/0.83 (define @t253 () (or @t249 @t248 @t67)) % 0.39/0.83 (define @t254 () (not @t73)) % 0.39/0.83 (define @t255 () (not @t19)) % 0.39/0.83 (define @t256 () (or @t251 @t250 @t255 @t254)) % 0.39/0.83 (define @t257 () (tptp.szmzizndt0 @t215)) % 0.39/0.83 (define @t258 () (= @t208 @t257)) % 0.39/0.83 (define @t259 () (tptp.aElementOf0 @t257 tptp.xQ)) % 0.39/0.83 (define @t260 () (not @t259)) % 0.39/0.83 (define @t261 () (tptp.aElementOf0 @t208 @t215)) % 0.39/0.83 (define @t262 () (not @t261)) % 0.39/0.83 (define @t263 () (not @t239)) % 0.39/0.83 (define @t264 () (not @t204)) % 0.39/0.83 (define @t265 () (or @t264 @t263 @t199 (= @t215 tptp.slcrc0) @t262 @t260 @t258)) % 0.39/0.83 (define @t266 () (forall @t31 @t252)) % 0.39/0.83 (define @t267 () (= tptp.slcrc0 @t215)) % 0.39/0.83 (define @t268 () (= tptp.slcrc0 tptp.xQ)) % 0.39/0.83 (define @t269 () (or @t264 @t263 @t268 @t267 @t262 @t260 @t258)) % 0.39/0.83 (define @t270 () (= @t125 @t175)) % 0.39/0.83 (define @t271 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 0.39/0.83 (define @t272 () (or (not (tptp.aElementOf0 @t271 @t124)) (tptp.sdtlseqdt0 @t175 @t271))) % 0.39/0.83 (define @t273 () (and @t178 @t272 @t270)) % 0.39/0.83 (define @t274 () (or @t223 @t273)) % 0.39/0.83 (define @t275 () (forall (@list @t1 @t271) @t274)) % 0.39/0.83 (define @t276 () (@list @t271)) % 0.39/0.83 (define @t277 () (forall @t276 @t274)) % 0.39/0.83 (define @t278 () (forall @t276 @t270)) % 0.39/0.83 (define @t279 () (forall @t276 @t272)) % 0.39/0.83 (define @t280 () (forall @t276 @t178)) % 0.39/0.83 (define @t281 () (and @t280 @t279 @t278)) % 0.39/0.83 (define @t282 () (forall @t276 @t273)) % 0.39/0.83 (define @t283 () (or @t223 @t282)) % 0.39/0.83 (define @t284 () (and @t178 (forall @t8 (or @t235 @t176)) @t270)) % 0.39/0.83 (define @t285 () (or @t240 (tptp.sdtlseqdt0 @t213 tptp.xp))) % 0.39/0.83 (define @t286 () (tptp.aElementOf0 @t213 @t215)) % 0.39/0.83 (define @t287 () (and @t286 @t285 (= @t257 @t213))) % 0.39/0.83 (define @t288 () (or @t242 @t287)) % 0.39/0.83 (define @t289 () (= @t213 @t257)) % 0.39/0.83 (define @t290 () (and @t286 @t285 @t289)) % 0.39/0.83 (define @t291 () (or @t242 @t290)) % 0.39/0.83 (define @t292 () (forall @t3 (not @t197))) % 0.39/0.83 (define @t293 () (tptp.isCountable0 tptp.slcrc0)) % 0.39/0.83 (define @t294 () (forall @t8 @t60)) % 0.39/0.83 (define @t295 () (tptp.aSet0 tptp.slcrc0)) % 0.39/0.83 (define @t296 () (and @t295 (forall @t8 (not (tptp.aElementOf0 @t5 tptp.slcrc0))))) % 0.39/0.83 (define @t297 () (= tptp.slcrc0 tptp.slcrc0)) % 0.39/0.83 (define @t298 () (= @t297 @t296)) % 0.39/0.83 (define @t299 () (forall @t3 (= @t13 (and @t2 @t294)))) % 0.39/0.83 (define @t300 () (not @t293)) % 0.39/0.83 (define @t301 () (not @t295)) % 0.39/0.83 (define @t302 () (not @t297)) % 0.39/0.83 (define @t303 () (or @t301 @t300 @t302)) % 0.39/0.83 (define @t304 () (not @t16)) % 0.39/0.83 (define @t305 () (not @t2)) % 0.39/0.83 (define @t306 () (or @t19 @t305 @t304 @t19)) % 0.39/0.83 (define @t307 () (or @t305 @t304 @t19)) % 0.39/0.83 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.83 (assume @p2 (forall @t3 (=> @t4 true))) % 0.39/0.83 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.39/0.83 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.39/0.83 (assume @p5 @t15) % 0.39/0.83 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.39/0.83 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 0.39/0.83 (assume @p8 (forall @t3 (=> @t18 @t17))) % 0.39/0.83 (assume @p9 @t20) % 0.39/0.83 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t26 (and @t25 (forall @t24 (=> @t23 @t22)))))))) % 0.39/0.83 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t26 @t27))))) % 0.39/0.83 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.39/0.83 (assume @p13 (forall @t31 (=> (and @t2 @t25) (=> (and @t30 @t26) @t29)))) % 0.39/0.83 (assume @p14 (forall @t34 (=> (and @t2 @t25 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t21))))) % 0.39/0.83 (assume @p15 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 0.39/0.83 (assume @p16 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 0.39/0.83 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 0.39/0.83 (assume @p18 (forall @t31 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 0.39/0.83 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 0.39/0.83 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 0.39/0.83 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 0.39/0.83 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 0.39/0.83 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.39/0.83 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.39/0.83 (assume @p25 (forall @t3 (=> @t50 (and (tptp.aElementOf0 @t49 tptp.szNzAzT0) (not (= @t49 tptp.sz00)))))) % 0.39/0.83 (assume @p26 (forall @t31 (=> @t53 (=> (= @t49 @t51) @t29)))) % 0.39/0.83 (assume @p27 (forall @t3 (=> @t50 (or @t54 (exists @t8 (and @t52 (= @t1 @t51))))))) % 0.39/0.83 (assume @p28 (forall @t3 (=> @t50 (not (= @t1 @t49))))) % 0.39/0.83 (assume @p29 (forall @t31 (=> @t53 (=> @t55 true)))) % 0.39/0.83 (assume @p30 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.39/0.83 (assume @p31 (forall @t3 (=> @t50 (not (tptp.sdtlseqdt0 @t49 tptp.sz00))))) % 0.39/0.83 (assume @p32 (forall @t31 (=> @t53 (= @t55 (tptp.sdtlseqdt0 @t49 @t51))))) % 0.39/0.83 (assume @p33 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 @t1 @t49)))) % 0.39/0.83 (assume @p34 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.39/0.83 (assume @p35 (forall @t31 (=> @t53 (=> (and @t55 @t56) @t29)))) % 0.39/0.83 (assume @p36 (forall @t34 (=> (and @t50 @t52 @t58) (=> (and @t55 @t57) (tptp.sdtlseqdt0 @t1 @t21))))) % 0.39/0.83 (assume @p37 (forall @t31 (=> @t53 (or @t55 (tptp.sdtlseqdt0 @t51 @t1))))) % 0.39/0.83 (assume @p38 (forall @t31 (=> @t53 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.39/0.83 (assume @p39 (forall @t3 (=> @t50 (tptp.iLess0 @t1 @t49)))) % 0.39/0.83 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t59)))) % 0.39/0.83 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t59 tptp.szNzAzT0) @t9)))) % 0.39/0.83 (assume @p42 (forall @t3 (=> @t2 (= (= @t59 tptp.sz00) @t13)))) % 0.39/0.83 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> @t60 (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t59)))))))) % 0.39/0.83 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t59)))))) % 0.39/0.83 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t26) (tptp.sdtlseqdt0 @t61 @t59)))))) % 0.39/0.83 (assume @p46 (forall @t31 (=> @t63 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t59)) (exists @t24 (and (tptp.aSubsetOf0 @t21 @t1) (= @t62 @t5))))))) % 0.39/0.83 (assume @p47 (forall @t3 (=> (and @t65 @t19) (forall @t8 (= (= @t5 @t64) (and @t7 (forall @t24 (=> @t22 @t57)))))))) % 0.39/0.83 (assume @p48 (forall @t3 (=> (and @t65 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t24 (=> @t22 (tptp.sdtlseqdt0 @t21 @t5))))))))) % 0.39/0.83 (assume @p49 @t76) % 0.39/0.83 (assume @p50 (forall @t3 (=> @t50 (forall @t8 (= (= @t5 @t77) (and @t25 (forall @t24 (= @t23 (and @t58 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t21) @t1)))))))))) % 0.39/0.83 (assume @p51 (forall @t3 (=> @t50 (tptp.isFinite0 @t77)))) % 0.39/0.83 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.39/0.83 (assume @p53 (forall @t31 (=> @t53 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t51)) (or (tptp.aElementOf0 @t1 @t78) @t29))))) % 0.39/0.83 (assume @p54 (forall @t31 (=> @t53 (= @t55 (tptp.aSubsetOf0 @t77 @t78))))) % 0.39/0.83 (assume @p55 (forall @t3 (=> (and @t65 @t9) (exists @t8 (and @t52 (tptp.aSubsetOf0 @t1 @t78)))))) % 0.39/0.83 (assume @p56 (forall @t3 (=> @t50 (= (tptp.sbrdtbr0 @t77) @t1)))) % 0.39/0.83 (assume @p57 (forall @t31 (=> @t63 (forall @t24 (= (= @t21 @t81) (and @t33 (forall @t40 (= @t39 (and @t80 (= @t79 @t5)))))))))) % 0.39/0.83 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t52 (tptp.isFinite0 @t81)))))) % 0.39/0.83 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t52 (not (= @t81 tptp.slcrc0))))))) % 0.39/0.83 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t52 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t81)))))) % 0.39/0.83 (assume @p61 (forall @t3 (=> @t50 (forall (@list @t5 @t21) (=> (and @t25 @t33 (not @t54)) (=> (and (tptp.aSubsetOf0 @t82 (tptp.slbdtsldtrb0 @t21 @t1)) (not (= @t82 tptp.slcrc0))) @t32)))))) % 0.39/0.83 (assume @p62 (forall @t31 (=> @t63 (forall @t24 (=> (and (tptp.aSubsetOf0 @t21 @t81) (tptp.isFinite0 @t21)) (exists @t40 (and @t80 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t21 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 0.39/0.83 (assume @p63 (forall @t3 (=> @t83 true))) % 0.39/0.83 (assume @p64 (forall @t3 (=> @t83 (tptp.aSet0 @t84)))) % 0.39/0.83 (assume @p65 (forall @t3 (=> @t83 (forall @t8 (=> @t86 (tptp.aElement0 @t85)))))) % 0.39/0.83 (assume @p66 (forall @t31 (=> @t90 (forall @t24 (= (= @t21 @t89) (and @t33 (forall @t40 (= @t39 (and @t88 (= @t87 @t5)))))))))) % 0.39/0.83 (assume @p67 (forall @t31 (=> @t90 (tptp.aSubsetOf0 @t89 @t84)))) % 0.39/0.83 (assume @p68 (forall @t3 (=> @t83 (forall @t8 (=> @t95 (forall @t24 (= (= @t21 @t94) (and @t33 (forall @t40 (= @t39 (exists @t93 (and @t92 (= (tptp.sdtlpdtrp0 @t1 @t91) @t35))))))))))))) % 0.39/0.83 (assume @p69 (forall @t3 (=> @t83 (forall @t8 (=> @t86 (tptp.aElementOf0 @t85 @t96)))))) % 0.39/0.83 (assume @p70 (forall @t3 (=> @t83 (forall @t8 (=> @t95 (forall @t24 (= (= @t21 (tptp.sdtexdt0 @t1 @t5)) (and @t99 (= @t98 @t5) (forall @t40 (=> @t97 (= (tptp.sdtlpdtrp0 @t21 @t35) @t87))))))))))) % 0.39/0.83 (assume @p71 (forall @t3 (=> @t83 (forall @t8 (=> (and @t95 @t45) (=> (forall (@list @t21 @t35) (=> (and (tptp.aElementOf0 @t21 @t84) @t88 (not (= @t21 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t21) @t87)))) (tptp.isCountable0 @t94))))))) % 0.39/0.83 (assume @p72 (forall @t3 (=> @t83 (=> (and (tptp.isCountable0 @t84) (tptp.isFinite0 @t96)) (and (tptp.aElement0 @t100) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t100))))))) % 0.39/0.83 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.39/0.83 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.39/0.83 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t101 @t50)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.39/0.83 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t107 (and @t2 @t110 @t109 @t108)) (=> (and (or (and @t2 @t110) @t109) @t108) @t107))) (= @t102 @t106) (tptp.aSet0 @t103) (forall @t3 (= @t105 (exists @t8 (and (tptp.aElementOf0 @t5 @t102) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t105 @t104)) (tptp.aSubsetOf0 @t103 tptp.xT))) % 0.39/0.83 (assume @p77 (forall @t3 (=> @t50 (forall @t8 (=> (and (or (and @t25 (forall @t24 (=> @t23 @t58))) @t74) @t45) (forall @t24 (=> (and @t99 (or (forall @t40 (and (=> @t117 (and (or (and @t122 @t121) @t119) @t118)) (=> (and @t122 @t121 @t119 @t118) @t117))) (= @t98 @t82)) (=> (and (tptp.aSet0 @t115) (forall @t40 (= @t116 (exists @t93 (and (tptp.aElementOf0 @t91 @t98) (= (tptp.sdtlpdtrp0 @t21 @t91) @t35)))))) (or (forall @t40 (=> @t116 @t114)) (tptp.aSubsetOf0 @t115 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and @t114 (exists @t93 (and (tptp.aSet0 @t91) (forall @t113 (=> (tptp.aElementOf0 @t111 @t91) (tptp.aElementOf0 @t111 @t5))) (tptp.aSubsetOf0 @t91 @t5) (tptp.isCountable0 @t91) (forall @t113 (=> (or (and (or (and (tptp.aSet0 @t111) (forall (@list @t112) (=> (tptp.aElementOf0 @t112 @t111) (tptp.aElementOf0 @t112 @t91)))) (tptp.aSubsetOf0 @t111 @t91)) (= (tptp.sbrdtbr0 @t111) @t1)) (tptp.aElementOf0 @t111 (tptp.slbdtsldtrb0 @t91 @t1))) (= (tptp.sdtlpdtrp0 @t21 @t111) @t35))))))))))))))) % 0.39/0.83 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.39/0.83 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.39/0.83 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t50 (=> (and (or (and @t136 @t135) @t134) @t133) (and @t132 @t131 @t130 @t129 (tptp.aSet0 @t123) (forall @t8 (=> (tptp.aElementOf0 @t5 @t123) @t127)) (tptp.aSubsetOf0 @t123 @t126) (tptp.isCountable0 @t123))))))) % 0.39/0.83 (assume @p81 @t139) % 0.39/0.83 (assume @p82 (forall @t31 (=> @t53 (=> @t56 (and (forall @t24 (=> @t142 @t141)) (tptp.aSubsetOf0 @t124 @t140)))))) % 0.39/0.83 (assume @p83 (forall @t31 (=> (and @t50 @t52 (not @t29)) (not (=> @t145 (or (and (tptp.aElementOf0 @t125 @t140) (forall @t24 (=> @t141 @t143))) (= @t125 (tptp.szmzizndt0 @t140)))))))) % 0.39/0.83 (assume @p84 (forall @t3 (=> @t50 (forall @t8 (=> @t157 (and @t132 @t144 (tptp.aSet0 @t146) @t150 (forall @t24 (=> @t147 (tptp.aElementOf0 @t21 tptp.xS))) (tptp.aSubsetOf0 @t146 tptp.xS) (= (tptp.sbrdtbr0 @t146) tptp.xK) (tptp.aElementOf0 @t146 @t106))))))) % 0.39/0.83 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t50 (and (tptp.aFunction0 @t158) @t132 @t131 @t130 @t129 (forall @t8 (and (=> @t161 (and @t25 @t155 @t153 @t152)) (=> (and @t162 @t152) @t161))) (= @t160 @t151) (forall @t8 (=> @t157 (and @t132 @t144 @t150 (= @t159 (tptp.sdtlpdtrp0 tptp.xc @t146)))))))))) % 0.39/0.83 (assume @p86 (forall @t3 (=> @t50 (and (tptp.aSet0 @t163) (forall @t8 (= @t165 (exists @t24 (and (tptp.aElementOf0 @t21 @t160) @t166)))) (forall @t8 (=> @t165 @t164)) (tptp.aSubsetOf0 @t163 tptp.xT))))) % 0.39/0.83 (assume @p87 (forall @t3 (=> @t50 (forall @t8 (=> (and (=> @t145 (=> @t156 @t162)) @t45) (forall @t24 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 @t97)) (tptp.aSubsetOf0 @t21 @t5)) @t173) (tptp.aElementOf0 @t21 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t132 @t172 @t130 @t171 @t169 @t167 (tptp.aElementOf0 @t21 @t151))))))))) % 0.39/0.83 (assume @p88 (forall @t3 (=> @t50 (exists @t8 (and @t164 (exists @t24 (and @t132 @t172 @t130 @t171 @t33 @t169 @t167 (tptp.isCountable0 @t21) (forall @t40 (=> (and @t122 (or (and (or (forall @t93 (=> @t120 (tptp.aElementOf0 @t91 @t21))) (tptp.aSubsetOf0 @t35 @t21)) (= @t79 tptp.xk)) (tptp.aElementOf0 @t35 (tptp.slbdtsldtrb0 @t21 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t158 @t35) @t5)))))))))) % 0.39/0.83 (assume @p89 (forall @t3 (=> @t50 (exists @t8 (and @t164 (forall @t24 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 (tptp.aElementOf0 @t35 @t123))) (tptp.aSubsetOf0 @t21 @t123)) @t173) (tptp.aElementOf0 @t21 @t174))) @t166))))))) % 0.39/0.83 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t181)) % 0.39/0.83 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t183 tptp.szNzAzT0) (forall @t3 (=> @t50 (forall @t8 (=> (and @t25 (or (and (or (forall @t24 (=> @t23 (tptp.aElementOf0 @t21 @t123))) (tptp.aSubsetOf0 @t5 @t123)) @t152) (tptp.aElementOf0 @t5 @t174))) (= @t182 @t159))))))) % 0.39/0.83 (assume @p92 (and (tptp.aSet0 @t184) (forall @t3 (= @t185 (exists @t8 (and (tptp.aElementOf0 @t5 @t183) (= @t186 @t1))))) (forall @t3 (=> @t185 @t104)) (tptp.aSubsetOf0 @t184 tptp.xT))) % 0.39/0.83 (assume @p93 (and (tptp.aElementOf0 @t187 tptp.xT) @t191 @t190)) % 0.39/0.83 (assume @p94 (and @t196 @t191 @t190 (forall @t3 (= @t195 @t194)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t188)))) % 0.39/0.83 (assume @p95 (and @t196 (tptp.isCountable0 tptp.xO))) % 0.39/0.83 (assume @p96 (forall @t3 (=> (or @t194 @t195) (exists @t8 (and @t52 (= @t186 @t187) @t193 @t192))))) % 0.39/0.83 (assume @p97 (and (forall @t3 (=> @t195 @t101)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 0.39/0.83 (assume @p98 (and (tptp.aSet0 tptp.xQ) @t198 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 0.39/0.83 (assume @p99 (and @t198 @t203)) % 0.39/0.83 (assume @p100 (and @t205 @t204)) % 0.39/0.83 (assume @p101 (and @t207 @t206 @t207 @t206 (tptp.aElementOf0 tptp.xQ @t102))) % 0.39/0.83 (assume @p102 (and @t209 (forall @t3 (=> @t197 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t208))) % 0.39/0.83 (assume @p103 (and (tptp.aSet0 tptp.xP) (forall @t3 (=> @t197 (tptp.sdtlseqdt0 @t208 @t1))) (forall @t3 (= @t210 (and @t4 @t197 (not (= @t1 @t208))))) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t208)))) % 0.39/0.83 (assume @p104 @t209) % 0.39/0.83 (assume @p105 (exists @t3 (and @t189 (= @t175 tptp.xp)))) % 0.39/0.83 (assume @p106 (and (forall @t3 (=> @t210 @t197)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 0.39/0.83 (assume @p107 (and (forall @t3 (=> @t210 @t195)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 0.39/0.83 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 0.39/0.83 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 0.39/0.83 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t183) @t211 (tptp.aElementOf0 tptp.xn @t188) (tptp.aElementOf0 tptp.xn tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xe tptp.xn) tptp.xp))) % 0.39/0.83 (assume @p111 @t211) % 0.39/0.83 (assume @p112 (and (tptp.aElement0 tptp.xx) @t212 (not (= tptp.xx @t208)) (tptp.aElementOf0 tptp.xx tptp.xP))) % 0.39/0.83 (assume @p113 (and (tptp.aElementOf0 tptp.xx tptp.szNzAzT0) (exists @t3 (and @t189 (= @t175 tptp.xx))))) % 0.39/0.83 (assume @p114 (and @t214 (= tptp.xx @t213))) % 0.39/0.83 (assume @p115 (forall @t3 (=> @t216 (tptp.sdtlseqdt0 tptp.xx @t1)))) % 0.39/0.83 (assume @p116 (not (or (forall @t3 (=> @t216 (tptp.aElementOf0 @t1 @t217))) (tptp.aSubsetOf0 @t215 @t217)))) % 0.39/0.83 (assume @p117 (and (forall @t3 (=> (tptp.aElementOf0 @t1 @t218) @t216)) (tptp.aSubsetOf0 @t218 @t215))) % 0.39/0.83 (assume @p118 (and @t219 @t212)) % 0.39/0.83 (assume @p119 (and @t205 (forall @t3 (=> @t216 @t50)) (not @t201) (not (not (exists @t3 @t216))))) % 0.39/0.83 (assume @p120 (not (= tptp.xp tptp.xx))) % 0.39/0.83 (assume @p121 true) % 0.39/0.83 (step @p122 :rule evaluate :args ((= false true))) % 0.39/0.83 (step @p123 :rule quant-merge-prenex :args ((= (forall @t3 @t226) (forall (@list @t1 @t220) @t224)))) % 0.39/0.83 (step @p124 :rule quant-unused-vars :args ((= @t227 @t133))) % 0.39/0.83 (step @p125 :rule quant-unused-vars :args ((= @t228 @t134))) % 0.39/0.83 (step @p126 :rule alpha_equiv :args (@t229 (@list @t220) @t230)) % 0.39/0.83 (step @p127 :rule quant-unused-vars :args ((= @t231 @t136))) % 0.39/0.83 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124) :args (@t232)) % 0.39/0.83 (step @p129 :rule quant-miniscope-and :args ((= @t233 @t232))) % 0.39/0.83 (step @p130 :rule trans :premises (@p129 @p128)) % 0.39/0.83 (step @p131 :rule refl :args (@t223)) % 0.39/0.83 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t234)) % 0.39/0.83 (step @p133 :rule quant-miniscope-or :args ((= @t226 @t234))) % 0.39/0.83 (step @p134 :rule trans :premises (@p133 @p132)) % 0.39/0.83 (step @p135 :rule symm :premises (@p134)) % 0.39/0.83 (step @p136 :rule cong :premises (@p135) :args ((forall @t3 (or @t223 @t236)))) % 0.39/0.83 (step @p137 :rule trans :premises (@p136 @p123)) % 0.39/0.83 (step @p138 :rule bool-impl-elim :args (@t50 @t236)) % 0.39/0.83 (step @p139 :rule cong :premises (@p138) :args ((forall @t3 (=> @t50 @t236)))) % 0.39/0.83 (step @p140 :rule trans :premises (@p139 @p137)) % 0.39/0.83 (step @p141 :rule refl :args (@t133)) % 0.39/0.83 (step @p142 :rule refl :args (@t134)) % 0.39/0.83 (step @p143 :rule bool-impl-elim :args (@t128 @t52)) % 0.39/0.83 (step @p144 :rule cong :premises (@p143) :args (@t135)) % 0.39/0.83 (step @p145 :rule refl :args (@t136)) % 0.39/0.83 (step @p146 :rule nary_cong :premises (@p145 @p144 @p142 @p141) :args (@t137)) % 0.39/0.83 (step @p147 :rule refl :args (@t50)) % 0.39/0.83 (step @p148 :rule cong :premises (@p147 @p146) :args (@t138)) % 0.39/0.83 (step @p149 :rule cong :premises (@p148) :args (@t139)) % 0.39/0.83 (step @p150 :rule trans :premises (@p149 @p140)) % 0.39/0.83 (step @p151 :rule eq_resolve :premises (@p81 @p150)) % 0.39/0.83 (step @p152 :rule instantiate :premises (@p151) :args (@t237)) % 0.39/0.83 (step @p153 :rule and_elim :premises (@p114) :args (0)) % 0.39/0.83 (step @p154 :rule cnf_or_pos :args (@t243)) % 0.39/0.83 (step @p155 :rule reordering :premises (@p154) :args ((or @t242 @t241 (not @t243)))) % 0.39/0.83 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152) :args (@t241 @t244 (@list @t214 @t243))) % 0.39/0.83 (step @p157 :rule cnf_and_pos :args (@t241 3)) % 0.39/0.83 (step @p158 :rule reordering :premises (@p157) :args ((or @t238 @t245))) % 0.39/0.83 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t238 @t246 @t247)) % 0.39/0.83 (step @p160 :rule true_intro :premises (@p159)) % 0.39/0.83 (step @p161 :rule aci_norm :args ((= (or (or @t251 @t250 @t13 @t72) @t253) @t252))) % 0.39/0.83 (step @p162 :rule aci_norm :args ((= (or (or @t249 @t248) @t67) @t253))) % 0.39/0.83 (step @p163 :rule refl :args (@t67)) % 0.39/0.83 (step @p164 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 0.39/0.83 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t70) @t67))) % 0.39/0.83 (step @p166 :rule trans :premises (@p165 @p162)) % 0.39/0.83 (step @p167 :rule bool-impl-elim :args (@t70 @t67)) % 0.39/0.83 (step @p168 :rule trans :premises (@p167 @p166)) % 0.39/0.83 (step @p169 :rule bool-double-not-elim :args (@t72)) % 0.39/0.83 (step @p170 :rule bool-double-not-elim :args (@t13)) % 0.39/0.83 (step @p171 :rule refl :args (@t250)) % 0.39/0.83 (step @p172 :rule refl :args (@t251)) % 0.39/0.83 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169) :args (@t256)) % 0.39/0.83 (step @p174 :rule aci_norm :args ((= (or @t251 (or @t250 (or @t255 @t254))) @t256))) % 0.39/0.83 (step @p175 :rule trans :premises (@p174 @p173)) % 0.39/0.83 (step @p176 :rule bool-and-de-morgan :args (@t19 @t73 true)) % 0.39/0.83 (step @p177 :rule nary_cong :premises (@p171 @p176) :args ((or @t250 (not (and @t19 @t73))))) % 0.39/0.83 (step @p178 :rule bool-and-de-morgan :args (@t74 @t19 (and @t73))) % 0.39/0.83 (step @p179 :rule trans :premises (@p178 @p177)) % 0.39/0.83 (step @p180 :rule nary_cong :premises (@p172 @p179) :args ((or @t251 (not (and @t74 @t19 @t73))))) % 0.39/0.83 (step @p181 :rule bool-and-de-morgan :args (@t65 @t74 (and @t19 @t73))) % 0.39/0.83 (step @p182 :rule trans :premises (@p181 @p180)) % 0.39/0.83 (step @p183 :rule trans :premises (@p182 @p175)) % 0.39/0.83 (step @p184 :rule nary_cong :premises (@p183 @p168) :args ((or (not @t75) @t71))) % 0.39/0.83 (step @p185 :rule trans :premises (@p184 @p161)) % 0.39/0.83 (step @p186 :rule bool-impl-elim :args (@t75 @t71)) % 0.39/0.83 (step @p187 :rule trans :premises (@p186 @p185)) % 0.39/0.83 (step @p188 :rule cong :premises (@p187) :args (@t76)) % 0.39/0.83 (step @p189 :rule eq_resolve :premises (@p49 @p188)) % 0.39/0.83 (step @p190 :rule refl :args (@t258)) % 0.39/0.83 (step @p191 :rule refl :args (@t260)) % 0.39/0.83 (step @p192 :rule refl :args (@t262)) % 0.39/0.83 (step @p193 :rule eq-symm :args (@t215 tptp.slcrc0)) % 0.39/0.83 (step @p194 :rule eq-symm :args (tptp.xQ tptp.slcrc0)) % 0.39/0.83 (step @p195 :rule refl :args (@t263)) % 0.39/0.83 (step @p196 :rule refl :args (@t264)) % 0.39/0.83 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194 @p193 @p192 @p191 @p190) :args (@t265)) % 0.39/0.83 (step @p198 :rule refl :args (@t266)) % 0.39/0.83 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t266 @t265))) % 0.39/0.83 (assume-push @p353 @t266) % 0.39/0.83 (step @p201 :rule instantiate :premises (@p189) :args ((@list tptp.xQ @t215))) % 0.39/0.83 (step-pop @p354 :rule scope :premises (@p201)) % 0.39/0.83 (step @p202 :rule process_scope :premises (@p354) :args (@t265)) % 0.39/0.83 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 0.39/0.83 (step @p205 :rule implies_elim :premises (@p204)) % 0.39/0.83 (step @p206 :rule chain_m_resolution :premises (@p205 @p189) :args (@t269 @t246 (@list @t266))) % 0.39/0.83 (step @p207 :rule and_elim :premises (@p112) :args (2)) % 0.39/0.83 (step @p208 :rule symm :premises (@p207)) % 0.39/0.83 (step @p209 :rule false_intro :premises (@p208)) % 0.39/0.83 (step @p210 :rule and_elim :premises (@p114) :args (1)) % 0.39/0.83 (step @p211 :rule symm :premises (@p210)) % 0.39/0.83 (step @p212 :rule quant-merge-prenex :args ((= (forall @t3 @t277) @t275))) % 0.39/0.83 (step @p213 :rule quant-unused-vars :args ((= @t278 @t270))) % 0.39/0.83 (step @p214 :rule alpha_equiv :args (@t279 (@list @t271) @t230)) % 0.39/0.83 (step @p215 :rule quant-unused-vars :args ((= @t280 @t178))) % 0.39/0.83 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t281)) % 0.39/0.83 (step @p217 :rule quant-miniscope-and :args ((= @t282 @t281))) % 0.39/0.83 (step @p218 :rule trans :premises (@p217 @p216)) % 0.39/0.83 (step @p219 :rule nary_cong :premises (@p131 @p218) :args (@t283)) % 0.39/0.83 (step @p220 :rule quant-miniscope-or :args ((= @t277 @t283))) % 0.39/0.83 (step @p221 :rule trans :premises (@p220 @p219)) % 0.39/0.83 (step @p222 :rule symm :premises (@p221)) % 0.39/0.83 (step @p223 :rule cong :premises (@p222) :args ((forall @t3 (or @t223 @t284)))) % 0.39/0.83 (step @p224 :rule trans :premises (@p223 @p212)) % 0.39/0.83 (step @p225 :rule bool-impl-elim :args (@t50 @t284)) % 0.39/0.83 (step @p226 :rule cong :premises (@p225) :args ((forall @t3 (=> @t50 @t284)))) % 0.39/0.83 (step @p227 :rule trans :premises (@p226 @p224)) % 0.39/0.83 (step @p228 :rule eq-symm :args (@t175 @t125)) % 0.39/0.83 (step @p229 :rule bool-impl-elim :args (@t128 @t176)) % 0.39/0.83 (step @p230 :rule cong :premises (@p229) :args (@t177)) % 0.39/0.83 (step @p231 :rule refl :args (@t178)) % 0.39/0.83 (step @p232 :rule nary_cong :premises (@p231 @p230 @p228) :args (@t179)) % 0.39/0.83 (step @p233 :rule cong :premises (@p147 @p232) :args (@t180)) % 0.39/0.83 (step @p234 :rule cong :premises (@p233) :args (@t181)) % 0.39/0.83 (step @p235 :rule trans :premises (@p234 @p227)) % 0.39/0.83 (step @p236 :rule and_elim :premises (@p90) :args (2)) % 0.39/0.83 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 0.39/0.83 (step @p238 :rule eq-symm :args (@t257 @t213)) % 0.39/0.83 (step @p239 :rule refl :args (@t285)) % 0.39/0.83 (step @p240 :rule refl :args (@t286)) % 0.39/0.83 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238) :args (@t287)) % 0.39/0.83 (step @p242 :rule refl :args (@t242)) % 0.39/0.83 (step @p243 :rule nary_cong :premises (@p242 @p241) :args (@t288)) % 0.39/0.83 (step @p244 :rule refl :args (@t275)) % 0.39/0.83 (step @p245 :rule cong :premises (@p244 @p243) :args ((=> @t275 @t288))) % 0.39/0.83 (assume-push @p355 @t275) % 0.39/0.83 (step @p247 :rule instantiate :premises (@p237) :args (@t237)) % 0.39/0.83 (step-pop @p356 :rule scope :premises (@p247)) % 0.39/0.83 (step @p248 :rule process_scope :premises (@p356) :args (@t288)) % 0.39/0.83 (step @p250 :rule eq_resolve :premises (@p248 @p245)) % 0.39/0.83 (step @p251 :rule implies_elim :premises (@p250)) % 0.39/0.83 (step @p252 :rule chain_m_resolution :premises (@p251 @p237) :args (@t291 @t246 (@list @t275))) % 0.39/0.83 (step @p253 :rule cnf_or_pos :args (@t291)) % 0.39/0.83 (step @p254 :rule reordering :premises (@p253) :args ((or @t242 @t290 (not @t291)))) % 0.39/0.83 (step @p255 :rule chain_m_resolution :premises (@p254 @p153 @p252) :args (@t290 @t244 (@list @t214 @t291))) % 0.39/0.83 (step @p256 :rule cnf_and_pos :args (@t290 2)) % 0.39/0.83 (step @p257 :rule reordering :premises (@p256) :args ((or @t289 (not @t290)))) % 0.39/0.83 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t289 @t246 (@list @t290))) % 0.39/0.83 (step @p259 :rule symm :premises (@p258)) % 0.39/0.83 (step @p260 :rule trans :premises (@p259 @p211)) % 0.39/0.83 (step @p261 :rule refl :args (@t208)) % 0.39/0.83 (step @p262 :rule cong :premises (@p261 @p260) :args (@t258)) % 0.39/0.83 (step @p263 :rule trans :premises (@p262 @p209)) % 0.39/0.83 (step @p264 :rule false_elim :premises (@p263)) % 0.39/0.83 (step @p265 :rule and_elim :premises (@p112) :args (1)) % 0.39/0.83 (step @p266 :rule true_intro :premises (@p265)) % 0.39/0.83 (step @p267 :rule refl :args (tptp.xQ)) % 0.39/0.83 (step @p268 :rule cong :premises (@p260 @p267) :args (@t259)) % 0.39/0.83 (step @p269 :rule trans :premises (@p268 @p266)) % 0.39/0.83 (step @p270 :rule true_elim :premises (@p269)) % 0.39/0.83 (step @p271 :rule and_elim :premises (@p118) :args (0)) % 0.39/0.83 (step @p272 :rule true_intro :premises (@p271)) % 0.39/0.83 (step @p273 :rule refl :args (@t215)) % 0.39/0.83 (step @p274 :rule and_elim :premises (@p102) :args (2)) % 0.39/0.83 (step @p275 :rule symm :premises (@p274)) % 0.39/0.83 (step @p276 :rule cong :premises (@p275 @p273) :args (@t261)) % 0.39/0.83 (step @p277 :rule trans :premises (@p276 @p272)) % 0.39/0.83 (step @p278 :rule true_elim :premises (@p277)) % 0.39/0.83 (step @p279 :rule cnf_and_pos :args (@t241 2)) % 0.39/0.83 (step @p280 :rule reordering :premises (@p279) :args ((or @t239 @t245))) % 0.39/0.83 (step @p281 :rule chain_m_resolution :premises (@p280 @p156) :args (@t239 @t246 @t247)) % 0.39/0.83 (step @p282 :rule and_elim :premises (@p100) :args (1)) % 0.39/0.83 (step @p283 :rule bool-double-not-elim :args (@t292)) % 0.39/0.83 (step @p284 :rule exists-elim :args ((= @t200 (not @t292)))) % 0.39/0.83 (step @p285 :rule cong :premises (@p284) :args (@t201)) % 0.39/0.83 (step @p286 :rule trans :premises (@p285 @p283)) % 0.39/0.83 (step @p287 :rule nary_cong :premises (@p286 @p194) :args (@t202)) % 0.39/0.83 (step @p288 :rule cong :premises (@p287) :args (@t203)) % 0.39/0.83 (step @p289 :rule and_elim :premises (@p99) :args (1)) % 0.39/0.83 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 0.39/0.83 (step @p291 :rule not_or_elim :premises (@p290) :args (1)) % 0.39/0.83 (step @p292 :rule cnf_or_pos :args (@t269)) % 0.39/0.83 (step @p293 :rule reordering :premises (@p292) :args ((or @t268 @t264 @t263 @t267 @t262 @t260 @t258 (not @t269)))) % 0.39/0.83 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p282 @p281 @p278 @p270 @p264 @p206) :args (@t267 (@list true false false false false true false) (@list @t268 @t204 @t239 @t261 @t259 @t258 @t269))) % 0.39/0.83 (step @p295 :rule cong :premises (@p294) :args (@t293)) % 0.39/0.83 (step @p296 :rule bool-double-not-elim :args (@t294)) % 0.39/0.83 (step @p297 :rule exists-elim :args ((= @t10 (not @t294)))) % 0.39/0.83 (step @p298 :rule cong :premises (@p297) :args (@t11)) % 0.39/0.83 (step @p299 :rule trans :premises (@p298 @p296)) % 0.39/0.83 (step @p300 :rule refl :args (@t2)) % 0.39/0.83 (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t12)) % 0.39/0.83 (step @p302 :rule refl :args (@t13)) % 0.39/0.83 (step @p303 :rule cong :premises (@p302 @p301) :args (@t14)) % 0.39/0.83 (step @p304 :rule cong :premises (@p303) :args (@t15)) % 0.39/0.83 (step @p305 :rule eq_resolve :premises (@p5 @p304)) % 0.39/0.83 (step @p306 :rule bool-eq-true :args (@t296)) % 0.39/0.83 (step @p307 :rule eq-symm :args (true @t296)) % 0.39/0.83 (step @p308 :rule trans :premises (@p307 @p306)) % 0.39/0.83 (step @p309 :rule refl :args (@t296)) % 0.39/0.83 (step @p310 :rule eq-refl :args (tptp.slcrc0)) % 0.39/0.83 (step @p311 :rule cong :premises (@p310 @p309) :args (@t298)) % 0.39/0.83 (step @p312 :rule trans :premises (@p311 @p308)) % 0.39/0.83 (step @p313 :rule refl :args (@t299)) % 0.39/0.83 (step @p314 :rule cong :premises (@p313 @p312) :args ((=> @t299 @t298))) % 0.39/0.83 (assume-push @p357 @t299) % 0.39/0.83 (step @p316 :rule instantiate :premises (@p305) :args ((@list tptp.slcrc0))) % 0.39/0.83 (step-pop @p358 :rule scope :premises (@p316)) % 0.39/0.83 (step @p317 :rule process_scope :premises (@p358) :args (@t298)) % 0.39/0.83 (step @p319 :rule eq_resolve :premises (@p317 @p314)) % 0.39/0.83 (step @p320 :rule implies_elim :premises (@p319)) % 0.39/0.83 (step @p321 :rule chain_m_resolution :premises (@p320 @p305) :args (@t296 @t246 (@list @t299))) % 0.39/0.83 (step @p322 :rule cnf_and_pos :args (@t296 0)) % 0.39/0.83 (step @p323 :rule reordering :premises (@p322) :args ((or @t295 (not @t296)))) % 0.39/0.83 (step @p324 :rule chain_m_resolution :premises (@p323 @p321) :args (@t295 @t246 (@list @t296))) % 0.39/0.83 (step @p325 :rule aci_norm :args ((= (or @t301 @t300 false) (or @t301 @t300)))) % 0.39/0.83 (step @p326 :rule evaluate :args ((not true))) % 0.39/0.83 (step @p327 :rule cong :premises (@p310) :args (@t302)) % 0.39/0.83 (step @p328 :rule trans :premises (@p327 @p326)) % 0.39/0.83 (step @p329 :rule refl :args (@t300)) % 0.39/0.83 (step @p330 :rule refl :args (@t301)) % 0.39/0.83 (step @p331 :rule nary_cong :premises (@p330 @p329 @p328) :args (@t303)) % 0.39/0.83 (step @p332 :rule trans :premises (@p331 @p325)) % 0.39/0.83 (step @p333 :rule quant-var-elim-eq :args ((= (forall @t3 @t306) @t303))) % 0.39/0.83 (step @p334 :rule aci_norm :args ((= @t307 @t306))) % 0.39/0.83 (step @p335 :rule cong :premises (@p334) :args ((forall @t3 @t307))) % 0.39/0.83 (step @p336 :rule trans :premises (@p335 @p333)) % 0.39/0.83 (step @p337 :rule trans :premises (@p336 @p332)) % 0.39/0.83 (step @p338 :rule aci_norm :args ((= (or (or @t305 @t304) @t19) @t307))) % 0.39/0.83 (step @p339 :rule refl :args (@t19)) % 0.39/0.83 (step @p340 :rule bool-and-de-morgan :args (@t2 @t16 true)) % 0.39/0.83 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t18) @t19))) % 0.39/0.83 (step @p342 :rule trans :premises (@p341 @p338)) % 0.39/0.83 (step @p343 :rule bool-impl-elim :args (@t18 @t19)) % 0.39/0.83 (step @p344 :rule trans :premises (@p343 @p342)) % 0.39/0.83 (step @p345 :rule cong :premises (@p344) :args (@t20)) % 0.39/0.83 (step @p346 :rule trans :premises (@p345 @p337)) % 0.39/0.83 (step @p347 :rule eq_resolve :premises (@p9 @p346)) % 0.39/0.83 (step @p348 :rule chain_m_resolution :premises (@p347 @p324) :args (@t300 @t246 (@list @t295))) % 0.39/0.83 (step @p349 :rule false_intro :premises (@p348)) % 0.39/0.83 (step @p350 :rule symm :premises (@p349)) % 0.39/0.83 (step @p351 :rule trans :premises (@p350 @p295 @p160)) % 0.39/0.83 (step @p352 false :rule eq_resolve :premises (@p351 @p122)) % 0.39/0.83 ) % 0.39/0.83 % SZS output end Proof % 0.39/0.83 % cvc5 exiting %------------------------------------------------------------------------------