%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM629+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 : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:04 AM UTC 2026 % Result : Theorem 28.65s 29.02s % Output : Proof 28.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM629+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:37:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 28.65/29.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.65/29.02 --- Run --no-e-matching --full-saturate-quant at 6... % 28.65/29.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.65/29.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.65/29.02 % SZS status Theorem % 28.65/29.02 % SZS output start Proof % 28.65/29.02 ( % 28.65/29.02 (declare-sort $$unsorted 0) % 28.65/29.02 (declare-const tptp.xD $$unsorted) % 28.65/29.02 (declare-const tptp.xn $$unsorted) % 28.65/29.02 (declare-const tptp.xQ $$unsorted) % 28.65/29.02 (declare-const tptp.xN $$unsorted) % 28.65/29.02 (declare-const tptp.sz00 $$unsorted) % 28.65/29.02 (declare-const tptp.xC $$unsorted) % 28.65/29.02 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.szNzAzT0 $$unsorted) % 28.65/29.02 (declare-const tptp.xk $$unsorted) % 28.65/29.02 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.xd $$unsorted) % 28.65/29.02 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.xP $$unsorted) % 28.65/29.02 (declare-const tptp.xO $$unsorted) % 28.65/29.02 (declare-const tptp.xe $$unsorted) % 28.65/29.02 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 28.65/29.02 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.xK $$unsorted) % 28.65/29.02 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.xp $$unsorted) % 28.65/29.02 (declare-const tptp.xT $$unsorted) % 28.65/29.02 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.xS $$unsorted) % 28.65/29.02 (declare-const tptp.xc $$unsorted) % 28.65/29.02 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.slcrc0 $$unsorted) % 28.65/29.02 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 28.65/29.02 (define @t1 () (@var "W0" $$unsorted)) % 28.65/29.02 (define @t2 () (tptp.aSet0 @t1)) % 28.65/29.02 (define @t3 () (@list @t1)) % 28.65/29.02 (define @t4 () (tptp.aElement0 @t1)) % 28.65/29.02 (define @t5 () (@var "W1" $$unsorted)) % 28.65/29.02 (define @t6 () (tptp.aElement0 @t5)) % 28.65/29.02 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 28.65/29.02 (define @t8 () (@list @t5)) % 28.65/29.02 (define @t9 () (tptp.isFinite0 @t1)) % 28.65/29.02 (define @t10 () (= @t1 tptp.slcrc0)) % 28.65/29.02 (define @t11 () (tptp.isCountable0 @t1)) % 28.65/29.02 (define @t12 () (not @t9)) % 28.65/29.02 (define @t13 () (and @t2 @t11)) % 28.65/29.02 (define @t14 () (not @t10)) % 28.65/29.02 (define @t15 () (@var "W2" $$unsorted)) % 28.65/29.02 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 28.65/29.02 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 28.65/29.02 (define @t18 () (@list @t15)) % 28.65/29.02 (define @t19 () (tptp.aSet0 @t5)) % 28.65/29.02 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 28.65/29.02 (define @t21 () (tptp.isFinite0 @t5)) % 28.65/29.02 (define @t22 () (and @t2 @t9)) % 28.65/29.02 (define @t23 () (= @t1 @t5)) % 28.65/29.02 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 28.65/29.02 (define @t25 () (@list @t1 @t5)) % 28.65/29.02 (define @t26 () (tptp.aSubsetOf0 @t1 @t15)) % 28.65/29.02 (define @t27 () (tptp.aSubsetOf0 @t5 @t15)) % 28.65/29.02 (define @t28 () (and @t24 @t27)) % 28.65/29.02 (define @t29 () (=> @t28 @t26)) % 28.65/29.02 (define @t30 () (tptp.aSet0 @t15)) % 28.65/29.02 (define @t31 () (and @t2 @t19 @t30)) % 28.65/29.02 (define @t32 () (@list @t1 @t5 @t15)) % 28.65/29.02 (define @t33 () (forall @t32 (=> @t31 @t29))) % 28.65/29.02 (define @t34 () (@var "W3" $$unsorted)) % 28.65/29.02 (define @t35 () (= @t34 @t5)) % 28.65/29.02 (define @t36 () (tptp.aElementOf0 @t34 @t1)) % 28.65/29.02 (define @t37 () (tptp.aElement0 @t34)) % 28.65/29.02 (define @t38 () (tptp.aElementOf0 @t34 @t15)) % 28.65/29.02 (define @t39 () (@list @t34)) % 28.65/29.02 (define @t40 () (tptp.sdtpldt0 @t1 @t5)) % 28.65/29.02 (define @t41 () (and @t2 @t6)) % 28.65/29.02 (define @t42 () (tptp.sdtmndt0 @t1 @t5)) % 28.65/29.02 (define @t43 () (tptp.sdtpldt0 @t5 @t1)) % 28.65/29.02 (define @t44 () (tptp.isCountable0 @t5)) % 28.65/29.02 (define @t45 () (and @t19 @t44)) % 28.65/29.02 (define @t46 () (tptp.sdtmndt0 @t5 @t1)) % 28.65/29.02 (define @t47 () (and @t19 @t21)) % 28.65/29.02 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 28.65/29.02 (define @t49 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 28.65/29.02 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 28.65/29.02 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 28.65/29.02 (define @t52 () (and @t49 @t51)) % 28.65/29.02 (define @t53 () (= @t1 tptp.sz00)) % 28.65/29.02 (define @t54 () (tptp.sdtlseqdt0 @t1 @t5)) % 28.65/29.02 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 28.65/29.02 (define @t56 () (tptp.sdtlseqdt0 @t5 @t15)) % 28.65/29.02 (define @t57 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 28.65/29.02 (define @t58 () (tptp.sbrdtbr0 @t1)) % 28.65/29.02 (define @t59 () (tptp.sbrdtbr0 @t5)) % 28.65/29.02 (define @t60 () (tptp.sbrdtbr0 @t15)) % 28.65/29.02 (define @t61 () (and @t2 @t51)) % 28.65/29.02 (define @t62 () (tptp.szmzizndt0 @t1)) % 28.65/29.02 (define @t63 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 28.65/29.02 (define @t64 () (tptp.szmzizndt0 @t5)) % 28.65/29.02 (define @t65 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 28.65/29.02 (define @t66 () (tptp.slbdtrb0 @t1)) % 28.65/29.02 (define @t67 () (tptp.slbdtrb0 @t5)) % 28.65/29.02 (define @t68 () (tptp.sbrdtbr0 @t34)) % 28.65/29.02 (define @t69 () (tptp.aSubsetOf0 @t34 @t1)) % 28.65/29.02 (define @t70 () (tptp.slbdtsldtrb0 @t1 @t5)) % 28.65/29.02 (define @t71 () (tptp.slbdtsldtrb0 @t5 @t1)) % 28.65/29.02 (define @t72 () (tptp.aFunction0 @t1)) % 28.65/29.02 (define @t73 () (tptp.szDzozmdt0 @t1)) % 28.65/29.02 (define @t74 () (tptp.sdtlpdtrp0 @t1 @t5)) % 28.65/29.02 (define @t75 () (tptp.aElementOf0 @t5 @t73)) % 28.65/29.02 (define @t76 () (tptp.sdtlpdtrp0 @t1 @t34)) % 28.65/29.02 (define @t77 () (tptp.aElementOf0 @t34 @t73)) % 28.65/29.02 (define @t78 () (tptp.sdtlbdtrb0 @t1 @t5)) % 28.65/29.02 (define @t79 () (and @t72 @t6)) % 28.65/29.02 (define @t80 () (@var "W4" $$unsorted)) % 28.65/29.02 (define @t81 () (tptp.aElementOf0 @t80 @t5)) % 28.65/29.02 (define @t82 () (@list @t80)) % 28.65/29.02 (define @t83 () (tptp.sdtlcdtrc0 @t1 @t5)) % 28.65/29.02 (define @t84 () (tptp.aSubsetOf0 @t5 @t73)) % 28.65/29.02 (define @t85 () (tptp.sdtlcdtrc0 @t1 @t73)) % 28.65/29.02 (define @t86 () (tptp.aElementOf0 @t34 @t5)) % 28.65/29.02 (define @t87 () (tptp.szDzozmdt0 @t15)) % 28.65/29.02 (define @t88 () (tptp.aFunction0 @t15)) % 28.65/29.02 (define @t89 () (tptp.szDzizrdt0 @t1)) % 28.65/29.02 (define @t90 () (tptp.aElementOf0 @t1 tptp.xS)) % 28.65/29.02 (define @t91 () (tptp.szDzozmdt0 tptp.xc)) % 28.65/29.02 (define @t92 () (tptp.sdtlcdtrc0 tptp.xc @t91)) % 28.65/29.02 (define @t93 () (tptp.aElementOf0 @t1 tptp.xT)) % 28.65/29.02 (define @t94 () (tptp.aElementOf0 @t1 @t92)) % 28.65/29.02 (define @t95 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 28.65/29.02 (define @t96 () (tptp.aElementOf0 @t1 @t91)) % 28.65/29.02 (define @t97 () (= @t58 tptp.xK)) % 28.65/29.02 (define @t98 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 28.65/29.02 (define @t99 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 28.65/29.02 (define @t100 () (@var "W5" $$unsorted)) % 28.65/29.02 (define @t101 () (@var "W6" $$unsorted)) % 28.65/29.02 (define @t102 () (@list @t100)) % 28.65/29.02 (define @t103 () (tptp.aElementOf0 @t34 tptp.xT)) % 28.65/29.02 (define @t104 () (tptp.sdtlcdtrc0 @t15 @t87)) % 28.65/29.02 (define @t105 () (tptp.aElementOf0 @t34 @t104)) % 28.65/29.02 (define @t106 () (tptp.aElementOf0 @t34 @t87)) % 28.65/29.02 (define @t107 () (= @t68 @t1)) % 28.65/29.02 (define @t108 () (tptp.aSubsetOf0 @t34 @t5)) % 28.65/29.02 (define @t109 () (tptp.aElementOf0 @t80 @t34)) % 28.65/29.02 (define @t110 () (forall @t82 (=> @t109 @t81))) % 28.65/29.02 (define @t111 () (tptp.aSet0 @t34)) % 28.65/29.02 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t48)) % 28.65/29.02 (define @t113 () (tptp.isCountable0 @t112)) % 28.65/29.02 (define @t114 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 28.65/29.02 (define @t115 () (tptp.szmzizndt0 @t114)) % 28.65/29.02 (define @t116 () (tptp.sdtmndt0 @t114 @t115)) % 28.65/29.02 (define @t117 () (tptp.aSubsetOf0 @t112 @t116)) % 28.65/29.02 (define @t118 () (tptp.aElementOf0 @t5 @t116)) % 28.65/29.02 (define @t119 () (tptp.aElementOf0 @t5 @t112)) % 28.65/29.02 (define @t120 () (forall @t8 (=> @t119 @t118))) % 28.65/29.02 (define @t121 () (tptp.aSet0 @t112)) % 28.65/29.02 (define @t122 () (tptp.aElementOf0 @t5 @t114)) % 28.65/29.02 (define @t123 () (forall @t8 (= @t118 (and @t6 @t122 (not (= @t5 @t115)))))) % 28.65/29.02 (define @t124 () (tptp.aSet0 @t116)) % 28.65/29.02 (define @t125 () (tptp.sdtlseqdt0 @t115 @t5)) % 28.65/29.02 (define @t126 () (forall @t8 (=> @t122 @t125))) % 28.65/29.02 (define @t127 () (tptp.aElementOf0 @t115 @t114)) % 28.65/29.02 (define @t128 () (and @t127 @t126 @t124 @t123 @t121 @t120 @t117 @t113)) % 28.65/29.02 (define @t129 () (tptp.isCountable0 @t114)) % 28.65/29.02 (define @t130 () (tptp.aSubsetOf0 @t114 tptp.szNzAzT0)) % 28.65/29.02 (define @t131 () (forall @t8 (=> @t122 @t51))) % 28.65/29.02 (define @t132 () (tptp.aSet0 @t114)) % 28.65/29.02 (define @t133 () (and @t132 @t131)) % 28.65/29.02 (define @t134 () (or @t133 @t130)) % 28.65/29.02 (define @t135 () (and @t134 @t129)) % 28.65/29.02 (define @t136 () (=> @t135 @t128)) % 28.65/29.02 (define @t137 () (=> @t49 @t136)) % 28.65/29.02 (define @t138 () (forall @t3 @t137)) % 28.65/29.02 (define @t139 () (tptp.szDzozmdt0 tptp.xN)) % 28.65/29.02 (define @t140 () (and @t132 @t131 @t130 @t129)) % 28.65/29.02 (define @t141 () (=> @t49 @t140)) % 28.65/29.02 (define @t142 () (forall @t3 @t141)) % 28.65/29.02 (define @t143 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 28.65/29.02 (define @t144 () (tptp.aElementOf0 @t15 @t143)) % 28.65/29.02 (define @t145 () (tptp.aElementOf0 @t15 @t114)) % 28.65/29.02 (define @t146 () (tptp.sdtlseqdt0 @t115 @t15)) % 28.65/29.02 (define @t147 () (forall @t18 (=> @t145 @t146))) % 28.65/29.02 (define @t148 () (and @t127 @t147)) % 28.65/29.02 (define @t149 () (tptp.sdtpldt0 @t5 @t115)) % 28.65/29.02 (define @t150 () (tptp.aElementOf0 @t15 @t149)) % 28.65/29.02 (define @t151 () (= @t15 @t115)) % 28.65/29.02 (define @t152 () (tptp.aElement0 @t15)) % 28.65/29.02 (define @t153 () (forall @t18 (= @t150 (and @t152 (or @t17 @t151))))) % 28.65/29.02 (define @t154 () (tptp.slbdtsldtrb0 @t116 tptp.xk)) % 28.65/29.02 (define @t155 () (= @t59 tptp.xk)) % 28.65/29.02 (define @t156 () (tptp.aSubsetOf0 @t5 @t116)) % 28.65/29.02 (define @t157 () (tptp.aElementOf0 @t15 @t116)) % 28.65/29.02 (define @t158 () (forall @t18 (=> @t17 @t157))) % 28.65/29.02 (define @t159 () (and @t124 (forall @t18 (= @t157 (and @t152 @t145 (not @t151)))))) % 28.65/29.02 (define @t160 () (and @t19 (=> @t148 (=> @t159 (or (and (or @t158 @t156) @t155) (tptp.aElementOf0 @t5 @t154)))))) % 28.65/29.02 (define @t161 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 28.65/29.02 (define @t162 () (tptp.sdtlpdtrp0 @t161 @t5)) % 28.65/29.02 (define @t163 () (tptp.szDzozmdt0 @t161)) % 28.65/29.02 (define @t164 () (tptp.aElementOf0 @t5 @t163)) % 28.65/29.02 (define @t165 () (or (and @t19 @t158) @t156)) % 28.65/29.02 (define @t166 () (tptp.sdtlcdtrc0 @t161 @t163)) % 28.65/29.02 (define @t167 () (tptp.aElementOf0 @t5 tptp.xT)) % 28.65/29.02 (define @t168 () (tptp.aElementOf0 @t5 @t166)) % 28.65/29.02 (define @t169 () (= (tptp.sdtlpdtrp0 @t161 @t15) @t5)) % 28.65/29.02 (define @t170 () (tptp.aSubsetOf0 @t15 @t116)) % 28.65/29.02 (define @t171 () (tptp.aElementOf0 @t34 @t116)) % 28.65/29.02 (define @t172 () (forall @t39 (=> @t38 @t171))) % 28.65/29.02 (define @t173 () (tptp.aElementOf0 @t34 @t114)) % 28.65/29.02 (define @t174 () (forall @t39 (= @t171 (and @t37 @t173 (not (= @t34 @t115)))))) % 28.65/29.02 (define @t175 () (forall @t39 (=> @t173 (tptp.sdtlseqdt0 @t115 @t34)))) % 28.65/29.02 (define @t176 () (= @t60 tptp.xk)) % 28.65/29.02 (define @t177 () (tptp.slbdtsldtrb0 @t112 tptp.xk)) % 28.65/29.02 (define @t178 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 28.65/29.02 (define @t179 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 28.65/29.02 (define @t180 () (tptp.szDzozmdt0 tptp.xd)) % 28.65/29.02 (define @t181 () (tptp.sdtlcdtrc0 tptp.xd @t180)) % 28.65/29.02 (define @t182 () (tptp.aElementOf0 @t1 @t181)) % 28.65/29.02 (define @t183 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 28.65/29.02 (define @t184 () (tptp.szDzizrdt0 tptp.xd)) % 28.65/29.02 (define @t185 () (tptp.sdtlbdtrb0 tptp.xd @t184)) % 28.65/29.02 (define @t186 () (tptp.aElementOf0 @t1 @t185)) % 28.65/29.02 (define @t187 () (forall @t3 (= @t186 (and (tptp.aElementOf0 @t1 @t180) (= @t179 @t184))))) % 28.65/29.02 (define @t188 () (tptp.aSet0 @t185)) % 28.65/29.02 (define @t189 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 28.65/29.02 (define @t190 () (tptp.aElementOf0 @t5 @t185)) % 28.65/29.02 (define @t191 () (exists @t8 (and @t190 @t189))) % 28.65/29.02 (define @t192 () (tptp.aElementOf0 @t1 tptp.xO)) % 28.65/29.02 (define @t193 () (tptp.aSet0 tptp.xO)) % 28.65/29.02 (define @t194 () (tptp.aElementOf0 @t1 tptp.xQ)) % 28.65/29.02 (define @t195 () (forall @t3 (=> @t194 @t192))) % 28.65/29.02 (define @t196 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 28.65/29.02 (define @t197 () (forall @t3 (=> @t194 @t90))) % 28.65/29.02 (define @t198 () (tptp.szmzizndt0 tptp.xQ)) % 28.65/29.02 (define @t199 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 28.65/29.02 (define @t200 () (tptp.sdtmndt0 tptp.xQ @t198)) % 28.65/29.02 (define @t201 () (tptp.aElementOf0 @t1 tptp.xP)) % 28.65/29.02 (define @t202 () (tptp.aSet0 tptp.xP)) % 28.65/29.02 (define @t203 () (tptp.sbrdtbr0 tptp.xP)) % 28.65/29.02 (define @t204 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 28.65/29.02 (define @t205 () (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t184)) % 28.65/29.02 (define @t206 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))) % 28.65/29.02 (define @t207 () (tptp.aSubsetOf0 tptp.xP @t206)) % 28.65/29.02 (define @t208 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 28.65/29.02 (define @t209 () (tptp.szmzizndt0 @t208)) % 28.65/29.02 (define @t210 () (tptp.sdtmndt0 @t208 @t209)) % 28.65/29.02 (define @t211 () (tptp.aElementOf0 @t1 @t208)) % 28.65/29.02 (define @t212 () (tptp.aElementOf0 @t1 tptp.xD)) % 28.65/29.02 (define @t213 () (tptp.aSet0 tptp.xD)) % 28.65/29.02 (define @t214 () (tptp.slbdtsldtrb0 tptp.xD tptp.xk)) % 28.65/29.02 (define @t215 () (tptp.aElementOf0 tptp.xP @t214)) % 28.65/29.02 (define @t216 () (tptp.aSubsetOf0 tptp.xP tptp.xD)) % 28.65/29.02 (define @t217 () (forall @t3 (=> @t201 @t212))) % 28.65/29.02 (define @t218 () (or @t217 @t216 @t215)) % 28.65/29.02 (define @t219 () (not @t218)) % 28.65/29.02 (define @t220 () (not @t27)) % 28.65/29.02 (define @t221 () (not @t24)) % 28.65/29.02 (define @t222 () (not @t30)) % 28.65/29.02 (define @t223 () (not @t19)) % 28.65/29.02 (define @t224 () (not @t2)) % 28.65/29.02 (define @t225 () (or @t224 @t223 @t222 @t221 @t220 @t26)) % 28.65/29.02 (define @t226 () (or @t221 @t220 @t26)) % 28.65/29.02 (define @t227 () (or @t224 @t223 @t222)) % 28.65/29.02 (define @t228 () (@var "BOUND_VARIABLE_10140" $$unsorted)) % 28.65/29.02 (define @t229 () (or (not (tptp.aElementOf0 @t228 @t112)) (tptp.aElementOf0 @t228 @t116))) % 28.65/29.02 (define @t230 () (@var "BOUND_VARIABLE_10131" $$unsorted)) % 28.65/29.02 (define @t231 () (tptp.aElementOf0 @t230 @t114)) % 28.65/29.02 (define @t232 () (tptp.aElement0 @t230)) % 28.65/29.02 (define @t233 () (tptp.aElementOf0 @t230 @t116)) % 28.65/29.02 (define @t234 () (@var "BOUND_VARIABLE_10125" $$unsorted)) % 28.65/29.02 (define @t235 () (or (not (tptp.aElementOf0 @t234 @t114)) (tptp.sdtlseqdt0 @t115 @t234))) % 28.65/29.02 (define @t236 () (and @t127 @t235 @t124 (= @t233 (and @t232 @t231 (not (= @t115 @t230)))) @t121 @t229 @t117 @t113)) % 28.65/29.02 (define @t237 () (not @t129)) % 28.65/29.02 (define @t238 () (not @t130)) % 28.65/29.02 (define @t239 () (not @t122)) % 28.65/29.02 (define @t240 () (or @t239 @t51)) % 28.65/29.02 (define @t241 () (forall @t8 @t240)) % 28.65/29.02 (define @t242 () (not @t241)) % 28.65/29.02 (define @t243 () (not @t132)) % 28.65/29.02 (define @t244 () (or @t243 @t242)) % 28.65/29.02 (define @t245 () (and @t244 @t238)) % 28.65/29.02 (define @t246 () (not @t49)) % 28.65/29.02 (define @t247 () (or @t246 @t245 @t237 @t236)) % 28.65/29.02 (define @t248 () (@list @t1 @t234 @t230 @t228)) % 28.65/29.02 (define @t249 () (not (= @t230 @t115))) % 28.65/29.02 (define @t250 () (and @t232 @t231 @t249)) % 28.65/29.02 (define @t251 () (= @t233 @t250)) % 28.65/29.02 (define @t252 () (and @t127 @t235 @t124 @t251 @t121 @t229 @t117 @t113)) % 28.65/29.02 (define @t253 () (or @t246 @t245 @t237 @t252)) % 28.65/29.02 (define @t254 () (forall @t248 @t253)) % 28.65/29.02 (define @t255 () (@list @t234 @t230 @t228)) % 28.65/29.02 (define @t256 () (forall @t255 @t253)) % 28.65/29.02 (define @t257 () (forall @t255 @t113)) % 28.65/29.02 (define @t258 () (forall @t255 @t117)) % 28.65/29.02 (define @t259 () (forall (@list @t228) @t229)) % 28.65/29.02 (define @t260 () (@list @t5)) % 28.65/29.02 (define @t261 () (forall @t255 @t229)) % 28.65/29.02 (define @t262 () (forall @t255 @t121)) % 28.65/29.02 (define @t263 () (forall (@list @t230) @t251)) % 28.65/29.02 (define @t264 () (forall @t255 @t251)) % 28.65/29.02 (define @t265 () (forall @t255 @t124)) % 28.65/29.02 (define @t266 () (forall (@list @t234) @t235)) % 28.65/29.02 (define @t267 () (forall @t255 @t235)) % 28.65/29.02 (define @t268 () (forall @t255 @t127)) % 28.65/29.02 (define @t269 () (and @t268 @t267 @t265 @t264 @t262 @t261 @t258 @t257)) % 28.65/29.02 (define @t270 () (forall @t255 @t252)) % 28.65/29.02 (define @t271 () (or @t246 @t245 @t237 @t270)) % 28.65/29.02 (define @t272 () (and @t127 (forall @t8 (or @t239 @t125)) @t124 @t123 @t121 (forall @t8 (or (not @t119) @t118)) @t117 @t113)) % 28.65/29.02 (define @t273 () (or @t246 @t245 @t237 @t272)) % 28.65/29.02 (define @t274 () (or @t245 @t237 @t272)) % 28.65/29.02 (define @t275 () (and @t132 @t241)) % 28.65/29.02 (define @t276 () (or @t275 @t130)) % 28.65/29.02 (define @t277 () (and @t276 @t129)) % 28.65/29.02 (define @t278 () (=> @t277 @t272)) % 28.65/29.02 (define @t279 () (tptp.isCountable0 @t206)) % 28.65/29.02 (define @t280 () (tptp.aSubsetOf0 @t206 @t210)) % 28.65/29.02 (define @t281 () (tptp.aElementOf0 tptp.sz00 @t210)) % 28.65/29.02 (define @t282 () (or (not (tptp.aElementOf0 tptp.sz00 @t206)) @t281)) % 28.65/29.02 (define @t283 () (tptp.aSet0 @t206)) % 28.65/29.02 (define @t284 () (not (= @t209 tptp.sz00))) % 28.65/29.02 (define @t285 () (tptp.aElementOf0 tptp.sz00 @t208)) % 28.65/29.02 (define @t286 () (tptp.aElement0 tptp.sz00)) % 28.65/29.02 (define @t287 () (and @t286 @t285 @t284)) % 28.65/29.02 (define @t288 () (= @t281 @t287)) % 28.65/29.02 (define @t289 () (tptp.aSet0 @t210)) % 28.65/29.02 (define @t290 () (not @t285)) % 28.65/29.02 (define @t291 () (or @t290 (tptp.sdtlseqdt0 @t209 tptp.sz00))) % 28.65/29.02 (define @t292 () (tptp.aElementOf0 @t209 @t208)) % 28.65/29.02 (define @t293 () (and @t292 @t291 @t289 @t288 @t283 @t282 @t280 @t279)) % 28.65/29.02 (define @t294 () (tptp.isCountable0 @t208)) % 28.65/29.02 (define @t295 () (not @t294)) % 28.65/29.02 (define @t296 () (tptp.aSubsetOf0 @t208 @t139)) % 28.65/29.02 (define @t297 () (not @t296)) % 28.65/29.02 (define @t298 () (tptp.aElementOf0 @t5 @t139)) % 28.65/29.02 (define @t299 () (tptp.aSet0 @t208)) % 28.65/29.02 (define @t300 () (and (or (not @t299) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t208)) @t298)))) @t297)) % 28.65/29.02 (define @t301 () (tptp.aElementOf0 tptp.xn @t139)) % 28.65/29.02 (define @t302 () (not @t301)) % 28.65/29.02 (define @t303 () (or @t302 @t300 @t295 @t293)) % 28.65/29.02 (define @t304 () (forall @t248 (or (not (tptp.aElementOf0 @t1 @t139)) (and (or @t243 (not (forall @t8 (or @t239 @t298)))) (not (tptp.aSubsetOf0 @t114 @t139))) @t237 @t236))) % 28.65/29.02 (define @t305 () (and @t292 @t291 @t289 (= @t281 (and @t286 @t285 (not (= tptp.sz00 @t209)))) @t283 @t282 @t280 @t279)) % 28.65/29.02 (define @t306 () (or @t302 @t300 @t295 @t305)) % 28.65/29.02 (define @t307 () (@list false)) % 28.65/29.02 (define @t308 () (@var "BOUND_VARIABLE_10163" $$unsorted)) % 28.65/29.02 (define @t309 () (tptp.aElementOf0 @t308 tptp.szNzAzT0)) % 28.65/29.02 (define @t310 () (not (tptp.aElementOf0 @t308 @t114))) % 28.65/29.02 (define @t311 () (or @t310 @t309)) % 28.65/29.02 (define @t312 () (and @t132 @t311 @t130 @t129)) % 28.65/29.02 (define @t313 () (or @t246 @t312)) % 28.65/29.02 (define @t314 () (forall (@list @t1 @t308) @t313)) % 28.65/29.02 (define @t315 () (@list @t308)) % 28.65/29.02 (define @t316 () (forall @t315 @t313)) % 28.65/29.02 (define @t317 () (forall @t315 @t129)) % 28.65/29.02 (define @t318 () (forall @t315 @t130)) % 28.65/29.02 (define @t319 () (forall @t315 @t311)) % 28.65/29.02 (define @t320 () (forall @t315 @t132)) % 28.65/29.02 (define @t321 () (and @t320 @t319 @t318 @t317)) % 28.65/29.02 (define @t322 () (forall @t315 @t312)) % 28.65/29.02 (define @t323 () (or @t246 @t322)) % 28.65/29.02 (define @t324 () (and @t132 @t241 @t130 @t129)) % 28.65/29.02 (define @t325 () (and @t299 (or @t290 (tptp.aElementOf0 tptp.sz00 @t139)) @t296 @t294)) % 28.65/29.02 (define @t326 () (or @t302 @t325)) % 28.65/29.02 (define @t327 () (not @t325)) % 28.65/29.02 (define @t328 () (@list @t325)) % 28.65/29.02 (define @t329 () (not @t300)) % 28.65/29.02 (define @t330 () (not @t305)) % 28.65/29.02 (define @t331 () (@list @t305)) % 28.65/29.02 (define @t332 () (not @t201)) % 28.65/29.02 (define @t333 () (or @t332 @t212)) % 28.65/29.02 (define @t334 () (forall @t3 @t333)) % 28.65/29.02 (define @t335 () (or @t334 @t216 @t215)) % 28.65/29.02 (define @t336 () (tptp.aSubsetOf0 @t200 @t210)) % 28.65/29.02 (define @t337 () (not @t280)) % 28.65/29.02 (define @t338 () (tptp.aSubsetOf0 @t200 @t206)) % 28.65/29.02 (define @t339 () (not @t338)) % 28.65/29.02 (define @t340 () (not @t289)) % 28.65/29.02 (define @t341 () (not @t283)) % 28.65/29.02 (define @t342 () (tptp.aSet0 @t200)) % 28.65/29.02 (define @t343 () (not @t342)) % 28.65/29.02 (define @t344 () (or @t343 @t341 @t340 @t339 @t337 @t336)) % 28.65/29.02 (define @t345 () (not @t344)) % 28.65/29.02 (define @t346 () (forall @t32 @t225)) % 28.65/29.02 (assume @p1 (forall @t3 (=> @t2 true))) % 28.65/29.02 (assume @p2 (forall @t3 (=> @t4 true))) % 28.65/29.02 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 28.65/29.02 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 28.65/29.02 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 28.65/29.02 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 28.65/29.02 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 28.65/29.02 (assume @p8 (forall @t3 (=> @t13 @t12))) % 28.65/29.02 (assume @p9 (forall @t3 (=> @t13 @t14))) % 28.65/29.02 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 28.65/29.02 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 28.65/29.02 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 28.65/29.02 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 28.65/29.02 (assume @p14 @t33) % 28.65/29.02 (assume @p15 (forall @t25 (=> @t41 (forall @t18 (= (= @t15 @t40) (and @t30 (forall @t39 (= @t38 (and @t37 (or @t36 @t35)))))))))) % 28.65/29.02 (assume @p16 (forall @t25 (=> @t41 (forall @t18 (= (= @t15 @t42) (and @t30 (forall @t39 (= @t38 (and @t37 @t36 (not @t35)))))))))) % 28.65/29.02 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t42 @t5) @t1)))))) % 28.65/29.02 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t43 @t1) @t5))))) % 28.65/29.02 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t43)))))) % 28.65/29.02 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t46)))))) % 28.65/29.02 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t43)))))) % 28.65/29.02 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t46)))))) % 28.65/29.02 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 28.65/29.02 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 28.65/29.02 (assume @p25 (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t48 tptp.szNzAzT0) (not (= @t48 tptp.sz00)))))) % 28.65/29.02 (assume @p26 (forall @t25 (=> @t52 (=> (= @t48 @t50) @t23)))) % 28.65/29.02 (assume @p27 (forall @t3 (=> @t49 (or @t53 (exists @t8 (and @t51 (= @t1 @t50))))))) % 28.65/29.02 (assume @p28 (forall @t3 (=> @t49 (not (= @t1 @t48))))) % 28.65/29.02 (assume @p29 (forall @t25 (=> @t52 (=> @t54 true)))) % 28.65/29.02 (assume @p30 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 28.65/29.02 (assume @p31 (forall @t3 (=> @t49 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 28.65/29.02 (assume @p32 (forall @t25 (=> @t52 (= @t54 (tptp.sdtlseqdt0 @t48 @t50))))) % 28.65/29.02 (assume @p33 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t48)))) % 28.65/29.02 (assume @p34 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t1)))) % 28.65/29.02 (assume @p35 (forall @t25 (=> @t52 (=> (and @t54 @t55) @t23)))) % 28.65/29.02 (assume @p36 (forall @t32 (=> (and @t49 @t51 @t57) (=> (and @t54 @t56) (tptp.sdtlseqdt0 @t1 @t15))))) % 28.65/29.02 (assume @p37 (forall @t25 (=> @t52 (or @t54 (tptp.sdtlseqdt0 @t50 @t1))))) % 28.65/29.02 (assume @p38 (forall @t25 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 28.65/29.02 (assume @p39 (forall @t3 (=> @t49 (tptp.iLess0 @t1 @t48)))) % 28.65/29.02 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t58)))) % 28.65/29.02 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t58 tptp.szNzAzT0) @t9)))) % 28.65/29.02 (assume @p42 (forall @t3 (=> @t2 (= (= @t58 tptp.sz00) @t10)))) % 28.65/29.02 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t40) (tptp.szszuzczcdt0 @t58)))))))) % 28.65/29.02 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t42)) @t58)))))) % 28.65/29.02 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t59 @t58)))))) % 28.65/29.02 (assume @p46 (forall @t25 (=> @t61 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t58)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t60 @t5))))))) % 28.65/29.02 (assume @p47 (forall @t3 (=> (and @t63 @t14) (forall @t8 (= (= @t5 @t62) (and @t7 (forall @t18 (=> @t16 @t56)))))))) % 28.65/29.02 (assume @p48 (forall @t3 (=> (and @t63 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 28.65/29.02 (assume @p49 (forall @t25 (=> (and @t63 @t65 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t62 @t5) (tptp.aElementOf0 @t64 @t1)) (= @t62 @t64))))) % 28.65/29.02 (assume @p50 (forall @t3 (=> @t49 (forall @t8 (= (= @t5 @t66) (and @t19 (forall @t18 (= @t17 (and @t57 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 28.65/29.02 (assume @p51 (forall @t3 (=> @t49 (tptp.isFinite0 @t66)))) % 28.65/29.02 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 28.65/29.02 (assume @p53 (forall @t25 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t67) @t23))))) % 28.65/29.02 (assume @p54 (forall @t25 (=> @t52 (= @t54 (tptp.aSubsetOf0 @t66 @t67))))) % 28.65/29.02 (assume @p55 (forall @t3 (=> (and @t63 @t9) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t67)))))) % 28.65/29.02 (assume @p56 (forall @t3 (=> @t49 (= (tptp.sbrdtbr0 @t66) @t1)))) % 28.65/29.02 (assume @p57 (forall @t25 (=> @t61 (forall @t18 (= (= @t15 @t70) (and @t30 (forall @t39 (= @t38 (and @t69 (= @t68 @t5)))))))))) % 28.65/29.02 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t51 (tptp.isFinite0 @t70)))))) % 28.65/29.02 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t51 (not (= @t70 tptp.slcrc0))))))) % 28.65/29.02 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t70)))))) % 28.65/29.02 (assume @p61 (forall @t3 (=> @t49 (forall (@list @t5 @t15) (=> (and @t19 @t30 (not @t53)) (=> (and (tptp.aSubsetOf0 @t71 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t71 tptp.slcrc0))) @t27)))))) % 28.65/29.02 (assume @p62 (forall @t25 (=> @t61 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t70) (tptp.isFinite0 @t15)) (exists @t39 (and @t69 (tptp.isFinite0 @t34) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t34 @t5))))))))) % 28.65/29.02 (assume @p63 (forall @t3 (=> @t72 true))) % 28.65/29.02 (assume @p64 (forall @t3 (=> @t72 (tptp.aSet0 @t73)))) % 28.65/29.02 (assume @p65 (forall @t3 (=> @t72 (forall @t8 (=> @t75 (tptp.aElement0 @t74)))))) % 28.65/29.02 (assume @p66 (forall @t25 (=> @t79 (forall @t18 (= (= @t15 @t78) (and @t30 (forall @t39 (= @t38 (and @t77 (= @t76 @t5)))))))))) % 28.65/29.03 (assume @p67 (forall @t25 (=> @t79 (tptp.aSubsetOf0 @t78 @t73)))) % 28.65/29.03 (assume @p68 (forall @t3 (=> @t72 (forall @t8 (=> @t84 (forall @t18 (= (= @t15 @t83) (and @t30 (forall @t39 (= @t38 (exists @t82 (and @t81 (= (tptp.sdtlpdtrp0 @t1 @t80) @t34))))))))))))) % 28.65/29.03 (assume @p69 (forall @t3 (=> @t72 (forall @t8 (=> @t75 (tptp.aElementOf0 @t74 @t85)))))) % 28.65/29.03 (assume @p70 (forall @t3 (=> @t72 (forall @t8 (=> @t84 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t88 (= @t87 @t5) (forall @t39 (=> @t86 (= (tptp.sdtlpdtrp0 @t15 @t34) @t76))))))))))) % 28.65/29.03 (assume @p71 (forall @t3 (=> @t72 (forall @t8 (=> (and @t84 @t44) (=> (forall (@list @t15 @t34) (=> (and (tptp.aElementOf0 @t15 @t73) @t77 (not (= @t15 @t34))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t76)))) (tptp.isCountable0 @t83))))))) % 28.65/29.03 (assume @p72 (forall @t3 (=> @t72 (=> (and (tptp.isCountable0 @t73) (tptp.isFinite0 @t85)) (and (tptp.aElement0 @t89) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t89))))))) % 28.65/29.03 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 28.65/29.03 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 28.65/29.03 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t90 @t49)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 28.65/29.03 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t96 (and @t2 @t99 @t98 @t97)) (=> (and (or (and @t2 @t99) @t98) @t97) @t96))) (= @t91 @t95) (tptp.aSet0 @t92) (forall @t3 (= @t94 (exists @t8 (and (tptp.aElementOf0 @t5 @t91) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t94 @t93)) (tptp.aSubsetOf0 @t92 tptp.xT))) % 28.65/29.03 (assume @p77 (forall @t3 (=> @t49 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t57))) @t65) @t44) (forall @t18 (=> (and @t88 (or (forall @t39 (and (=> @t106 (and (or (and @t111 @t110) @t108) @t107)) (=> (and @t111 @t110 @t108 @t107) @t106))) (= @t87 @t71)) (=> (and (tptp.aSet0 @t104) (forall @t39 (= @t105 (exists @t82 (and (tptp.aElementOf0 @t80 @t87) (= (tptp.sdtlpdtrp0 @t15 @t80) @t34)))))) (or (forall @t39 (=> @t105 @t103)) (tptp.aSubsetOf0 @t104 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t39 (and @t103 (exists @t82 (and (tptp.aSet0 @t80) (forall @t102 (=> (tptp.aElementOf0 @t100 @t80) (tptp.aElementOf0 @t100 @t5))) (tptp.aSubsetOf0 @t80 @t5) (tptp.isCountable0 @t80) (forall @t102 (=> (or (and (or (and (tptp.aSet0 @t100) (forall (@list @t101) (=> (tptp.aElementOf0 @t101 @t100) (tptp.aElementOf0 @t101 @t80)))) (tptp.aSubsetOf0 @t100 @t80)) (= (tptp.sbrdtbr0 @t100) @t1)) (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t80 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t100) @t34))))))))))))))) % 28.65/29.03 (assume @p78 (not (= tptp.xK tptp.sz00))) % 28.65/29.03 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 28.65/29.03 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t139 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) @t138)) % 28.65/29.03 (assume @p81 @t142) % 28.65/29.03 (assume @p82 (forall @t25 (=> @t52 (=> @t55 (and (forall @t18 (=> @t145 @t144)) (tptp.aSubsetOf0 @t114 @t143)))))) % 28.65/29.03 (assume @p83 (forall @t25 (=> (and @t49 @t51 (not @t23)) (not (=> @t148 (or (and (tptp.aElementOf0 @t115 @t143) (forall @t18 (=> @t144 @t146))) (= @t115 (tptp.szmzizndt0 @t143)))))))) % 28.65/29.03 (assume @p84 (forall @t3 (=> @t49 (forall @t8 (=> @t160 (and @t127 @t147 (tptp.aSet0 @t149) @t153 (forall @t18 (=> @t150 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t149 tptp.xS) (= (tptp.sbrdtbr0 @t149) tptp.xK) (tptp.aElementOf0 @t149 @t95))))))) % 28.65/29.03 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t49 (and (tptp.aFunction0 @t161) @t127 @t126 @t124 @t123 (forall @t8 (and (=> @t164 (and @t19 @t158 @t156 @t155)) (=> (and @t165 @t155) @t164))) (= @t163 @t154) (forall @t8 (=> @t160 (and @t127 @t147 @t153 (= @t162 (tptp.sdtlpdtrp0 tptp.xc @t149)))))))))) % 28.65/29.03 (assume @p86 (forall @t3 (=> @t49 (and (tptp.aSet0 @t166) (forall @t8 (= @t168 (exists @t18 (and (tptp.aElementOf0 @t15 @t163) @t169)))) (forall @t8 (=> @t168 @t167)) (tptp.aSubsetOf0 @t166 tptp.xT))))) % 28.65/29.03 (assume @p87 (forall @t3 (=> @t49 (forall @t8 (=> (and (=> @t148 (=> @t159 @t165)) @t44) (forall @t18 (=> (and @t30 (or (and (or (forall @t39 (=> @t38 @t86)) (tptp.aSubsetOf0 @t15 @t5)) @t176) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t127 @t175 @t124 @t174 @t172 @t170 (tptp.aElementOf0 @t15 @t154))))))))) % 28.65/29.03 (assume @p88 (forall @t3 (=> @t49 (exists @t8 (and @t167 (exists @t18 (and @t127 @t175 @t124 @t174 @t30 @t172 @t170 (tptp.isCountable0 @t15) (forall @t39 (=> (and @t111 (or (and (or (forall @t82 (=> @t109 (tptp.aElementOf0 @t80 @t15))) (tptp.aSubsetOf0 @t34 @t15)) (= @t68 tptp.xk)) (tptp.aElementOf0 @t34 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t161 @t34) @t5)))))))))) % 28.65/29.03 (assume @p89 (forall @t3 (=> @t49 (exists @t8 (and @t167 (forall @t18 (=> (and @t30 (or (and (or (forall @t39 (=> @t38 (tptp.aElementOf0 @t34 @t112))) (tptp.aSubsetOf0 @t15 @t112)) @t176) (tptp.aElementOf0 @t15 @t177))) @t169))))))) % 28.65/29.03 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t178 @t114) (forall @t8 (=> @t122 (tptp.sdtlseqdt0 @t178 @t5))) (= @t178 @t115)))))) % 28.65/29.03 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t180 tptp.szNzAzT0) (forall @t3 (=> @t49 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t112))) (tptp.aSubsetOf0 @t5 @t112)) @t155) (tptp.aElementOf0 @t5 @t177))) (= @t179 @t162))))))) % 28.65/29.03 (assume @p92 (and (tptp.aSet0 @t181) (forall @t3 (= @t182 (exists @t8 (and (tptp.aElementOf0 @t5 @t180) (= @t183 @t1))))) (forall @t3 (=> @t182 @t93)) (tptp.aSubsetOf0 @t181 tptp.xT))) % 28.65/29.03 (assume @p93 (and (tptp.aElementOf0 @t184 tptp.xT) @t188 @t187)) % 28.65/29.03 (assume @p94 (and @t193 @t188 @t187 (forall @t3 (= @t192 @t191)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t185)))) % 28.65/29.03 (assume @p95 (and @t193 (tptp.isCountable0 tptp.xO))) % 28.65/29.03 (assume @p96 (forall @t3 (=> (or @t191 @t192) (exists @t8 (and @t51 (= @t183 @t184) @t190 @t189))))) % 28.65/29.03 (assume @p97 (and (forall @t3 (=> @t192 @t90)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 28.65/29.03 (assume @p98 (and (tptp.aSet0 tptp.xQ) @t195 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 28.65/29.03 (assume @p99 (and @t195 (not (or (not (exists @t3 @t194)) (= tptp.xQ tptp.slcrc0))))) % 28.65/29.03 (assume @p100 (and (forall @t3 (=> @t194 @t49)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 28.65/29.03 (assume @p101 (and @t197 @t196 @t197 @t196 (tptp.aElementOf0 tptp.xQ @t91))) % 28.65/29.03 (assume @p102 (and @t199 (forall @t3 (=> @t194 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t198))) % 28.65/29.03 (assume @p103 (and @t202 (forall @t3 (=> @t194 (tptp.sdtlseqdt0 @t198 @t1))) (forall @t3 (= @t201 (and @t4 @t194 (not (= @t1 @t198))))) (= tptp.xP @t200))) % 28.65/29.03 (assume @p104 @t199) % 28.65/29.03 (assume @p105 (exists @t3 (and @t186 (= @t178 tptp.xp)))) % 28.65/29.03 (assume @p106 (and (forall @t3 (=> @t201 @t194)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 28.65/29.03 (assume @p107 (and (forall @t3 (=> @t201 @t192)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 28.65/29.03 (assume @p108 (= @t203 tptp.xk)) % 28.65/29.03 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 28.65/29.03 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t180) @t205 (tptp.aElementOf0 tptp.xn @t185) @t204 (= (tptp.sdtlpdtrp0 tptp.xe tptp.xn) tptp.xp))) % 28.65/29.03 (assume @p111 @t205) % 28.65/29.03 (assume @p112 (and (forall @t3 (=> @t201 (tptp.aElementOf0 @t1 @t206))) @t207)) % 28.65/29.03 (assume @p113 (and (forall @t3 (=> @t211 (tptp.sdtlseqdt0 @t209 @t1))) @t213 (forall @t3 (= @t212 (and @t4 @t211 (not (= @t1 @t209))))) (= tptp.xD @t210))) % 28.65/29.03 (assume @p114 @t219) % 28.65/29.03 (assume @p115 true) % 28.65/29.03 (step @p116 :rule aci_norm :args ((= (or @t227 @t226) @t225))) % 28.65/29.03 (step @p117 :rule aci_norm :args ((= (or (or @t221 @t220) @t26) @t226))) % 28.65/29.03 (step @p118 :rule refl :args (@t26)) % 28.65/29.03 (step @p119 :rule bool-and-de-morgan :args (@t24 @t27 true)) % 28.65/29.03 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t28) @t26))) % 28.65/29.03 (step @p121 :rule trans :premises (@p120 @p117)) % 28.65/29.03 (step @p122 :rule bool-impl-elim :args (@t28 @t26)) % 28.65/29.03 (step @p123 :rule trans :premises (@p122 @p121)) % 28.65/29.03 (step @p124 :rule aci_norm :args ((= (or @t224 (or @t223 @t222)) @t227))) % 28.65/29.03 (step @p125 :rule bool-and-de-morgan :args (@t19 @t30 true)) % 28.65/29.03 (step @p126 :rule refl :args (@t224)) % 28.65/29.03 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t224 (not (and @t19 @t30))))) % 28.65/29.03 (step @p128 :rule bool-and-de-morgan :args (@t2 @t19 (and @t30))) % 28.65/29.03 (step @p129 :rule trans :premises (@p128 @p127)) % 28.65/29.03 (step @p130 :rule trans :premises (@p129 @p124)) % 28.65/29.03 (step @p131 :rule nary_cong :premises (@p130 @p123) :args ((or (not @t31) @t29))) % 28.65/29.03 (step @p132 :rule trans :premises (@p131 @p116)) % 28.65/29.03 (step @p133 :rule bool-impl-elim :args (@t31 @t29)) % 28.65/29.03 (step @p134 :rule trans :premises (@p133 @p132)) % 28.65/29.03 (step @p135 :rule cong :premises (@p134) :args (@t33)) % 28.65/29.03 (step @p136 :rule eq_resolve :premises (@p14 @p135)) % 28.65/29.03 (step @p137 :rule refl :args (@t236)) % 28.65/29.03 (step @p138 :rule refl :args (@t237)) % 28.65/29.03 (step @p139 :rule and_elim :premises (@p80) :args (1)) % 28.65/29.03 (step @p140 :rule symm :premises (@p139)) % 28.65/29.03 (step @p141 :rule refl :args (@t114)) % 28.65/29.03 (step @p142 :rule cong :premises (@p141 @p140) :args (@t130)) % 28.65/29.03 (step @p143 :rule cong :premises (@p142) :args (@t238)) % 28.65/29.03 (step @p144 :rule refl :args (@t5)) % 28.65/29.03 (step @p145 :rule cong :premises (@p144 @p140) :args (@t51)) % 28.65/29.03 (step @p146 :rule refl :args (@t239)) % 28.65/29.03 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t240)) % 28.65/29.03 (step @p148 :rule cong :premises (@p147) :args (@t241)) % 28.65/29.03 (step @p149 :rule cong :premises (@p148) :args (@t242)) % 28.65/29.03 (step @p150 :rule refl :args (@t243)) % 28.65/29.03 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t244)) % 28.65/29.03 (step @p152 :rule nary_cong :premises (@p151 @p143) :args (@t245)) % 28.65/29.03 (step @p153 :rule refl :args (@t1)) % 28.65/29.03 (step @p154 :rule cong :premises (@p153 @p140) :args (@t49)) % 28.65/29.03 (step @p155 :rule cong :premises (@p154) :args (@t246)) % 28.65/29.03 (step @p156 :rule nary_cong :premises (@p155 @p152 @p138 @p137) :args (@t247)) % 28.65/29.03 (step @p157 :rule cong :premises (@p156) :args ((forall @t248 @t247))) % 28.65/29.03 (step @p158 :rule refl :args (@t113)) % 28.65/29.03 (step @p159 :rule refl :args (@t117)) % 28.65/29.03 (step @p160 :rule refl :args (@t229)) % 28.65/29.03 (step @p161 :rule refl :args (@t121)) % 28.65/29.03 (step @p162 :rule eq-symm :args (@t230 @t115)) % 28.65/29.03 (step @p163 :rule cong :premises (@p162) :args (@t249)) % 28.65/29.03 (step @p164 :rule refl :args (@t231)) % 28.65/29.03 (step @p165 :rule refl :args (@t232)) % 28.65/29.03 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163) :args (@t250)) % 28.65/29.03 (step @p167 :rule refl :args (@t233)) % 28.65/29.03 (step @p168 :rule cong :premises (@p167 @p166) :args (@t251)) % 28.65/29.03 (step @p169 :rule refl :args (@t124)) % 28.65/29.03 (step @p170 :rule refl :args (@t235)) % 28.65/29.03 (step @p171 :rule refl :args (@t127)) % 28.65/29.03 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168 @p161 @p160 @p159 @p158) :args (@t252)) % 28.65/29.03 (step @p173 :rule refl :args (@t245)) % 28.65/29.03 (step @p174 :rule refl :args (@t246)) % 28.65/29.03 (step @p175 :rule nary_cong :premises (@p174 @p173 @p138 @p172) :args (@t253)) % 28.65/29.03 (step @p176 :rule cong :premises (@p175) :args (@t254)) % 28.65/29.03 (step @p177 :rule quant-merge-prenex :args ((= (forall @t3 @t256) @t254))) % 28.65/29.03 (step @p178 :rule quant-unused-vars :args ((= @t257 @t113))) % 28.65/29.03 (step @p179 :rule quant-unused-vars :args ((= @t258 @t117))) % 28.65/29.03 (step @p180 :rule alpha_equiv :args (@t259 (@list @t228) @t260)) % 28.65/29.03 (step @p181 :rule quant-unused-vars :args ((= @t261 @t259))) % 28.65/29.03 (step @p182 :rule trans :premises (@p181 @p180)) % 28.65/29.03 (step @p183 :rule quant-unused-vars :args ((= @t262 @t121))) % 28.65/29.03 (step @p184 :rule alpha_equiv :args (@t263 (@list @t230) @t260)) % 28.65/29.03 (step @p185 :rule quant-unused-vars :args ((= @t264 @t263))) % 28.65/29.03 (step @p186 :rule trans :premises (@p185 @p184)) % 28.65/29.03 (step @p187 :rule quant-unused-vars :args ((= @t265 @t124))) % 28.65/29.03 (step @p188 :rule alpha_equiv :args (@t266 (@list @t234) @t260)) % 28.65/29.03 (step @p189 :rule quant-unused-vars :args ((= @t267 @t266))) % 28.65/29.03 (step @p190 :rule trans :premises (@p189 @p188)) % 28.65/29.03 (step @p191 :rule quant-unused-vars :args ((= @t268 @t127))) % 28.65/29.03 (step @p192 :rule nary_cong :premises (@p191 @p190 @p187 @p186 @p183 @p182 @p179 @p178) :args (@t269)) % 28.65/29.03 (step @p193 :rule quant-miniscope-and :args ((= @t270 @t269))) % 28.65/29.03 (step @p194 :rule trans :premises (@p193 @p192)) % 28.65/29.03 (step @p195 :rule refl :args (@t237)) % 28.65/29.03 (step @p196 :rule refl :args (@t245)) % 28.65/29.03 (step @p197 :rule refl :args (@t246)) % 28.65/29.03 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t271)) % 28.65/29.03 (step @p199 :rule quant-miniscope-or :args ((= @t256 @t271))) % 28.65/29.03 (step @p200 :rule trans :premises (@p199 @p198)) % 28.65/29.03 (step @p201 :rule symm :premises (@p200)) % 28.65/29.03 (step @p202 :rule cong :premises (@p201) :args ((forall @t3 @t273))) % 28.65/29.03 (step @p203 :rule trans :premises (@p202 @p177)) % 28.65/29.03 (step @p204 :rule trans :premises (@p203 @p176)) % 28.65/29.03 (step @p205 :rule aci_norm :args ((= (or @t246 @t274) @t273))) % 28.65/29.03 (step @p206 :rule aci_norm :args ((= (or (or @t245 @t237) @t272) @t274))) % 28.65/29.03 (step @p207 :rule refl :args (@t272)) % 28.65/29.03 (step @p208 :rule refl :args (@t238)) % 28.65/29.03 (step @p209 :rule bool-and-de-morgan :args (@t132 @t241 true)) % 28.65/29.03 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((and (not @t275) @t238))) % 28.65/29.03 (step @p211 :rule bool-or-de-morgan :args (@t275 @t130 false)) % 28.65/29.03 (step @p212 :rule trans :premises (@p211 @p210)) % 28.65/29.03 (step @p213 :rule nary_cong :premises (@p212 @p195) :args ((or (not @t276) @t237))) % 28.65/29.03 (step @p214 :rule bool-and-de-morgan :args (@t276 @t129 true)) % 28.65/29.03 (step @p215 :rule trans :premises (@p214 @p213)) % 28.65/29.03 (step @p216 :rule nary_cong :premises (@p215 @p207) :args ((or (not @t277) @t272))) % 28.65/29.03 (step @p217 :rule trans :premises (@p216 @p206)) % 28.65/29.03 (step @p218 :rule bool-impl-elim :args (@t277 @t272)) % 28.65/29.03 (step @p219 :rule trans :premises (@p218 @p217)) % 28.65/29.03 (step @p220 :rule nary_cong :premises (@p197 @p219) :args ((or @t246 @t278))) % 28.65/29.03 (step @p221 :rule trans :premises (@p220 @p205)) % 28.65/29.03 (step @p222 :rule bool-impl-elim :args (@t49 @t278)) % 28.65/29.03 (step @p223 :rule trans :premises (@p222 @p221)) % 28.65/29.03 (step @p224 :rule cong :premises (@p223) :args ((forall @t3 (=> @t49 @t278)))) % 28.65/29.03 (step @p225 :rule trans :premises (@p224 @p204)) % 28.65/29.03 (step @p226 :rule bool-impl-elim :args (@t119 @t118)) % 28.65/29.03 (step @p227 :rule cong :premises (@p226) :args (@t120)) % 28.65/29.03 (step @p228 :rule refl :args (@t123)) % 28.65/29.03 (step @p229 :rule bool-impl-elim :args (@t122 @t125)) % 28.65/29.03 (step @p230 :rule cong :premises (@p229) :args (@t126)) % 28.65/29.03 (step @p231 :rule nary_cong :premises (@p171 @p230 @p169 @p228 @p161 @p227 @p159 @p158) :args (@t128)) % 28.65/29.03 (step @p232 :rule refl :args (@t129)) % 28.65/29.03 (step @p233 :rule refl :args (@t130)) % 28.65/29.03 (step @p234 :rule bool-impl-elim :args (@t122 @t51)) % 28.65/29.03 (step @p235 :rule cong :premises (@p234) :args (@t131)) % 28.65/29.03 (step @p236 :rule refl :args (@t132)) % 28.65/29.03 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t133)) % 28.65/29.03 (step @p238 :rule nary_cong :premises (@p237 @p233) :args (@t134)) % 28.65/29.03 (step @p239 :rule nary_cong :premises (@p238 @p232) :args (@t135)) % 28.65/29.03 (step @p240 :rule cong :premises (@p239 @p231) :args (@t136)) % 28.65/29.03 (step @p241 :rule refl :args (@t49)) % 28.65/29.03 (step @p242 :rule cong :premises (@p241 @p240) :args (@t137)) % 28.65/29.03 (step @p243 :rule cong :premises (@p242) :args (@t138)) % 28.65/29.03 (step @p244 :rule trans :premises (@p243 @p225)) % 28.65/29.03 (step @p245 :rule trans :premises (@p244 @p157)) % 28.65/29.03 (step @p246 :rule and_elim :premises (@p80) :args (3)) % 28.65/29.03 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 28.65/29.03 (step @p248 :rule refl :args (@t279)) % 28.65/29.03 (step @p249 :rule refl :args (@t280)) % 28.65/29.03 (step @p250 :rule refl :args (@t282)) % 28.65/29.03 (step @p251 :rule refl :args (@t283)) % 28.65/29.03 (step @p252 :rule eq-symm :args (@t209 tptp.sz00)) % 28.65/29.03 (step @p253 :rule cong :premises (@p252) :args (@t284)) % 28.65/29.03 (step @p254 :rule refl :args (@t285)) % 28.65/29.03 (step @p255 :rule refl :args (@t286)) % 28.65/29.03 (step @p256 :rule nary_cong :premises (@p255 @p254 @p253) :args (@t287)) % 28.65/29.03 (step @p257 :rule refl :args (@t281)) % 28.65/29.03 (step @p258 :rule cong :premises (@p257 @p256) :args (@t288)) % 28.65/29.03 (step @p259 :rule refl :args (@t289)) % 28.65/29.03 (step @p260 :rule refl :args (@t291)) % 28.65/29.03 (step @p261 :rule refl :args (@t292)) % 28.65/29.03 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259 @p258 @p251 @p250 @p249 @p248) :args (@t293)) % 28.65/29.03 (step @p263 :rule refl :args (@t295)) % 28.65/29.03 (step @p264 :rule refl :args (@t300)) % 28.65/29.03 (step @p265 :rule refl :args (@t302)) % 28.65/29.03 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263 @p262) :args (@t303)) % 28.65/29.03 (step @p267 :rule refl :args (@t304)) % 28.65/29.03 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t304 @t303))) % 28.65/29.03 (assume-push @p377 @t304) % 28.65/29.03 (step @p270 :rule instantiate :premises (@p247) :args ((@list tptp.xn tptp.sz00 tptp.sz00 tptp.sz00))) % 28.65/29.03 (step-pop @p378 :rule scope :premises (@p270)) % 28.65/29.03 (step @p271 :rule process_scope :premises (@p378) :args (@t303)) % 28.65/29.03 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 28.65/29.03 (step @p274 :rule implies_elim :premises (@p273)) % 28.65/29.03 (step @p275 :rule chain_m_resolution :premises (@p274 @p247) :args (@t306 @t307 (@list @t304))) % 28.65/29.03 (step @p276 :rule refl :args (@t308)) % 28.65/29.03 (step @p277 :rule cong :premises (@p276 @p140) :args (@t309)) % 28.65/29.03 (step @p278 :rule refl :args (@t310)) % 28.65/29.03 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t311)) % 28.65/29.03 (step @p280 :rule nary_cong :premises (@p236 @p279 @p142 @p232) :args (@t312)) % 28.65/29.03 (step @p281 :rule nary_cong :premises (@p155 @p280) :args (@t313)) % 28.65/29.03 (step @p282 :rule cong :premises (@p281) :args (@t314)) % 28.65/29.03 (step @p283 :rule quant-merge-prenex :args ((= (forall @t3 @t316) @t314))) % 28.65/29.03 (step @p284 :rule quant-unused-vars :args ((= @t317 @t129))) % 28.65/29.03 (step @p285 :rule quant-unused-vars :args ((= @t318 @t130))) % 28.65/29.03 (step @p286 :rule alpha_equiv :args (@t319 (@list @t308) @t260)) % 28.65/29.03 (step @p287 :rule quant-unused-vars :args ((= @t320 @t132))) % 28.65/29.03 (step @p288 :rule nary_cong :premises (@p287 @p286 @p285 @p284) :args (@t321)) % 28.65/29.03 (step @p289 :rule quant-miniscope-and :args ((= @t322 @t321))) % 28.65/29.03 (step @p290 :rule trans :premises (@p289 @p288)) % 28.65/29.03 (step @p291 :rule nary_cong :premises (@p197 @p290) :args (@t323)) % 28.65/29.03 (step @p292 :rule quant-miniscope-or :args ((= @t316 @t323))) % 28.65/29.03 (step @p293 :rule trans :premises (@p292 @p291)) % 28.65/29.03 (step @p294 :rule symm :premises (@p293)) % 28.65/29.03 (step @p295 :rule cong :premises (@p294) :args ((forall @t3 (or @t246 @t324)))) % 28.65/29.03 (step @p296 :rule trans :premises (@p295 @p283)) % 28.65/29.03 (step @p297 :rule bool-impl-elim :args (@t49 @t324)) % 28.65/29.03 (step @p298 :rule cong :premises (@p297) :args ((forall @t3 (=> @t49 @t324)))) % 28.65/29.03 (step @p299 :rule trans :premises (@p298 @p296)) % 28.65/29.03 (step @p300 :rule nary_cong :premises (@p236 @p235 @p233 @p232) :args (@t140)) % 28.65/29.03 (step @p301 :rule cong :premises (@p241 @p300) :args (@t141)) % 28.65/29.03 (step @p302 :rule cong :premises (@p301) :args (@t142)) % 28.65/29.03 (step @p303 :rule trans :premises (@p302 @p299)) % 28.65/29.03 (step @p304 :rule trans :premises (@p303 @p282)) % 28.65/29.03 (step @p305 :rule eq_resolve :premises (@p81 @p304)) % 28.65/29.03 (step @p306 :rule instantiate :premises (@p305) :args ((@list tptp.xn tptp.sz00))) % 28.65/29.03 (step @p307 :rule refl :args (tptp.xn)) % 28.65/29.03 (step @p308 :rule cong :premises (@p307 @p140) :args (@t204)) % 28.65/29.03 (step @p309 :rule and_elim :premises (@p110) :args (3)) % 28.65/29.03 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 28.65/29.03 (step @p311 :rule cnf_or_pos :args (@t326)) % 28.65/29.03 (step @p312 :rule reordering :premises (@p311) :args ((or @t302 @t325 (not @t326)))) % 28.65/29.03 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p306) :args (@t325 (@list false false) (@list @t301 @t326))) % 28.65/29.03 (step @p314 :rule cnf_and_pos :args (@t325 2)) % 28.65/29.03 (step @p315 :rule reordering :premises (@p314) :args ((or @t296 @t327))) % 28.65/29.03 (step @p316 :rule chain_m_resolution :premises (@p315 @p313) :args (@t296 @t307 @t328)) % 28.65/29.03 (step @p317 :rule cnf_and_pos :args (@t300 1)) % 28.65/29.03 (step @p318 :rule reordering :premises (@p317) :args ((or @t297 @t329))) % 28.65/29.03 (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t329 @t307 (@list @t296))) % 28.65/29.03 (step @p320 :rule cnf_and_pos :args (@t325 3)) % 28.65/29.03 (step @p321 :rule reordering :premises (@p320) :args ((or @t294 @t327))) % 28.65/29.03 (step @p322 :rule chain_m_resolution :premises (@p321 @p313) :args (@t294 @t307 @t328)) % 28.65/29.03 (step @p323 :rule cnf_or_pos :args (@t306)) % 28.65/29.03 (step @p324 :rule reordering :premises (@p323) :args ((or @t302 @t295 @t300 @t305 (not @t306)))) % 28.65/29.03 (step @p325 :rule chain_m_resolution :premises (@p324 @p310 @p322 @p319 @p275) :args (@t305 (@list false false true false) (@list @t301 @t294 @t300 @t306))) % 28.65/29.03 (step @p326 :rule cnf_and_pos :args (@t305 6)) % 28.65/29.03 (step @p327 :rule reordering :premises (@p326) :args ((or @t280 @t330))) % 28.65/29.03 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t280 @t307 @t331)) % 28.65/29.03 (step @p329 :rule cnf_and_pos :args (@t305 4)) % 28.65/29.03 (step @p330 :rule reordering :premises (@p329) :args ((or @t283 @t330))) % 28.65/29.03 (step @p331 :rule chain_m_resolution :premises (@p330 @p325) :args (@t283 @t307 @t331)) % 28.65/29.03 (step @p332 :rule and_elim :premises (@p113) :args (3)) % 28.65/29.03 (step @p333 :rule cong :premises (@p332) :args (@t213)) % 28.65/29.03 (step @p334 :rule and_elim :premises (@p113) :args (1)) % 28.65/29.03 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 28.65/29.03 (step @p336 :rule refl :args (@t206)) % 28.65/29.03 (step @p337 :rule and_elim :premises (@p103) :args (3)) % 28.65/29.03 (step @p338 :rule cong :premises (@p337 @p336) :args (@t207)) % 28.65/29.03 (step @p339 :rule and_elim :premises (@p112) :args (1)) % 28.65/29.03 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 28.65/29.03 (step @p341 :rule cong :premises (@p337) :args (@t202)) % 28.65/29.03 (step @p342 :rule and_elim :premises (@p103) :args (0)) % 28.65/29.03 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 28.65/29.03 (step @p344 :rule cong :premises (@p337) :args (@t203)) % 28.65/29.03 (step @p345 :rule refl :args (tptp.xk)) % 28.65/29.03 (step @p346 :rule cong :premises (@p345 @p344) :args ((= tptp.xk @t203))) % 28.65/29.03 (step @p347 :rule symm :premises (@p108)) % 28.65/29.03 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 28.65/29.03 (step @p349 :rule cong :premises (@p332 @p348) :args (@t214)) % 28.65/29.03 (step @p350 :rule cong :premises (@p337 @p349) :args (@t215)) % 28.65/29.03 (step @p351 :rule cong :premises (@p337 @p332) :args (@t216)) % 28.65/29.03 (step @p352 :rule cong :premises (@p153 @p332) :args (@t212)) % 28.65/29.03 (step @p353 :rule cong :premises (@p153 @p337) :args (@t201)) % 28.65/29.03 (step @p354 :rule cong :premises (@p353) :args (@t332)) % 28.65/29.03 (step @p355 :rule nary_cong :premises (@p354 @p352) :args (@t333)) % 28.65/29.03 (step @p356 :rule cong :premises (@p355) :args (@t334)) % 28.65/29.03 (step @p357 :rule nary_cong :premises (@p356 @p351 @p350) :args (@t335)) % 28.65/29.03 (step @p358 :rule cong :premises (@p357) :args ((not @t335))) % 28.65/29.03 (step @p359 :rule refl :args (@t215)) % 28.65/29.03 (step @p360 :rule refl :args (@t216)) % 28.65/29.03 (step @p361 :rule bool-impl-elim :args (@t201 @t212)) % 28.65/29.03 (step @p362 :rule cong :premises (@p361) :args (@t217)) % 28.65/29.03 (step @p363 :rule nary_cong :premises (@p362 @p360 @p359) :args (@t218)) % 28.65/29.03 (step @p364 :rule cong :premises (@p363) :args (@t219)) % 28.65/29.03 (step @p365 :rule trans :premises (@p364 @p358)) % 28.65/29.03 (step @p366 :rule eq_resolve :premises (@p114 @p365)) % 28.65/29.03 (step @p367 :rule not_or_elim :premises (@p366) :args (1)) % 28.65/29.03 (step @p368 :rule cnf_or_pos :args (@t344)) % 28.65/29.03 (step @p369 :rule reordering :premises (@p368) :args ((or @t336 @t343 @t339 @t340 @t341 @t337 @t345))) % 28.65/29.03 (step @p370 :rule chain_m_resolution :premises (@p369 @p367 @p343 @p340 @p335 @p331 @p328) :args (@t345 (@list true false false false false false) (@list @t336 @t342 @t338 @t289 @t283 @t280))) % 28.65/29.03 (assume-push @p379 @t346) % 28.65/29.03 (step @p372 :rule instantiate :premises (@p136) :args ((@list @t200 @t206 @t210))) % 28.65/29.03 (step-pop @p380 :rule scope :premises (@p372)) % 28.65/29.03 (step @p373 :rule process_scope :premises (@p380) :args (@t344)) % 28.65/29.03 (step @p375 :rule implies_elim :premises (@p373)) % 28.65/29.03 (step @p376 false :rule chain_m_resolution :premises (@p375 @p370 @p136) :args (false (@list true false) (@list @t344 @t346))) % 28.65/29.03 ) % 28.65/29.03 % SZS output end Proof % 28.65/29.03 % cvc5 exiting %------------------------------------------------------------------------------