%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM621+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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:02 AM UTC 2026 % Result : Theorem 129.99s 130.29s % Output : Proof 126.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM621+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:38:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 129.99/130.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 129.99/130.29 --- Run --no-e-matching --full-saturate-quant at 6... % 129.99/130.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 129.99/130.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 129.99/130.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 129.99/130.29 --- Run --trigger-sel=max --full-saturate-quant at 15... % 129.99/130.29 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 129.99/130.29 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 129.99/130.29 --- Run --prenex-quant=none --full-saturate-quant at 30... % 129.99/130.29 % SZS status Theorem % 129.99/130.29 % SZS output start Proof % 129.99/130.29 ( % 129.99/130.29 (declare-sort $$unsorted 0) % 129.99/130.29 (declare-const tptp.xm $$unsorted) % 129.99/130.29 (declare-const tptp.xx $$unsorted) % 129.99/130.29 (declare-const tptp.xn $$unsorted) % 129.99/130.29 (declare-const tptp.xQ $$unsorted) % 129.99/130.29 (declare-const tptp.xN $$unsorted) % 129.99/130.29 (declare-const tptp.sz00 $$unsorted) % 129.99/130.29 (declare-const tptp.xC $$unsorted) % 129.99/130.29 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.szNzAzT0 $$unsorted) % 129.99/130.29 (declare-const tptp.xk $$unsorted) % 129.99/130.29 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.xd $$unsorted) % 129.99/130.29 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.xP $$unsorted) % 129.99/130.29 (declare-const tptp.xO $$unsorted) % 129.99/130.29 (declare-const tptp.xe $$unsorted) % 129.99/130.29 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 129.99/130.29 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.xK $$unsorted) % 129.99/130.29 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.xp $$unsorted) % 129.99/130.29 (declare-const tptp.xT $$unsorted) % 129.99/130.29 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.xS $$unsorted) % 129.99/130.29 (declare-const tptp.xc $$unsorted) % 129.99/130.29 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.slcrc0 $$unsorted) % 129.99/130.29 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 129.99/130.29 (define @t1 () (@var "W0" $$unsorted)) % 129.99/130.29 (define @t2 () (tptp.aSet0 @t1)) % 129.99/130.29 (define @t3 () (@list @t1)) % 129.99/130.29 (define @t4 () (tptp.aElement0 @t1)) % 129.99/130.29 (define @t5 () (@var "W1" $$unsorted)) % 129.99/130.29 (define @t6 () (tptp.aElement0 @t5)) % 129.99/130.29 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 129.99/130.29 (define @t8 () (@list @t5)) % 129.99/130.29 (define @t9 () (tptp.isFinite0 @t1)) % 129.99/130.29 (define @t10 () (exists @t8 @t7)) % 129.99/130.29 (define @t11 () (not @t10)) % 129.99/130.29 (define @t12 () (and @t2 @t11)) % 129.99/130.29 (define @t13 () (= @t1 tptp.slcrc0)) % 129.99/130.29 (define @t14 () (= @t13 @t12)) % 129.99/130.29 (define @t15 () (forall @t3 @t14)) % 129.99/130.29 (define @t16 () (tptp.isCountable0 @t1)) % 129.99/130.29 (define @t17 () (not @t9)) % 129.99/130.29 (define @t18 () (and @t2 @t16)) % 129.99/130.29 (define @t19 () (not @t13)) % 129.99/130.29 (define @t20 () (forall @t3 (=> @t18 @t19))) % 129.99/130.29 (define @t21 () (@var "W2" $$unsorted)) % 129.99/130.29 (define @t22 () (tptp.aElementOf0 @t21 @t1)) % 129.99/130.29 (define @t23 () (tptp.aElementOf0 @t21 @t5)) % 129.99/130.29 (define @t24 () (@list @t21)) % 129.99/130.29 (define @t25 () (tptp.aSet0 @t5)) % 129.99/130.29 (define @t26 () (tptp.aSubsetOf0 @t5 @t1)) % 129.99/130.29 (define @t27 () (tptp.isFinite0 @t5)) % 129.99/130.29 (define @t28 () (and @t2 @t9)) % 129.99/130.29 (define @t29 () (= @t1 @t5)) % 129.99/130.29 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 129.99/130.29 (define @t31 () (@list @t1 @t5)) % 129.99/130.29 (define @t32 () (tptp.aSubsetOf0 @t5 @t21)) % 129.99/130.29 (define @t33 () (tptp.aSet0 @t21)) % 129.99/130.29 (define @t34 () (@list @t1 @t5 @t21)) % 129.99/130.29 (define @t35 () (@var "W3" $$unsorted)) % 129.99/130.29 (define @t36 () (= @t35 @t5)) % 129.99/130.29 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 129.99/130.29 (define @t38 () (tptp.aElement0 @t35)) % 129.99/130.29 (define @t39 () (tptp.aElementOf0 @t35 @t21)) % 129.99/130.29 (define @t40 () (@list @t35)) % 129.99/130.29 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 129.99/130.29 (define @t42 () (and @t2 @t6)) % 129.99/130.29 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 129.99/130.29 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 129.99/130.29 (define @t45 () (tptp.isCountable0 @t5)) % 129.99/130.29 (define @t46 () (and @t25 @t45)) % 129.99/130.29 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 129.99/130.29 (define @t48 () (and @t25 @t27)) % 129.99/130.29 (define @t49 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 129.99/130.29 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 129.99/130.29 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 129.99/130.29 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 129.99/130.29 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 129.99/130.29 (define @t54 () (and @t51 @t53)) % 129.99/130.29 (define @t55 () (= @t1 @t52)) % 129.99/130.29 (define @t56 () (and @t53 @t55)) % 129.99/130.29 (define @t57 () (exists @t8 @t56)) % 129.99/130.29 (define @t58 () (= @t1 tptp.sz00)) % 129.99/130.29 (define @t59 () (or @t58 @t57)) % 129.99/130.29 (define @t60 () (=> @t51 @t59)) % 129.99/130.29 (define @t61 () (forall @t3 @t60)) % 129.99/130.29 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 129.99/130.29 (define @t63 () (tptp.sdtlseqdt0 @t5 @t1)) % 129.99/130.29 (define @t64 () (tptp.sdtlseqdt0 @t5 @t21)) % 129.99/130.29 (define @t65 () (tptp.aElementOf0 @t21 tptp.szNzAzT0)) % 129.99/130.29 (define @t66 () (tptp.sbrdtbr0 @t1)) % 129.99/130.29 (define @t67 () (not @t7)) % 129.99/130.29 (define @t68 () (tptp.sbrdtbr0 @t5)) % 129.99/130.29 (define @t69 () (tptp.sbrdtbr0 @t21)) % 129.99/130.29 (define @t70 () (and @t2 @t53)) % 129.99/130.29 (define @t71 () (tptp.szmzizndt0 @t1)) % 129.99/130.29 (define @t72 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 129.99/130.29 (define @t73 () (tptp.szmzizndt0 @t5)) % 129.99/130.29 (define @t74 () (= @t71 @t73)) % 129.99/130.29 (define @t75 () (tptp.aElementOf0 @t73 @t1)) % 129.99/130.29 (define @t76 () (tptp.aElementOf0 @t71 @t5)) % 129.99/130.29 (define @t77 () (and @t76 @t75)) % 129.99/130.29 (define @t78 () (=> @t77 @t74)) % 129.99/130.29 (define @t79 () (= @t5 tptp.slcrc0)) % 129.99/130.29 (define @t80 () (not @t79)) % 129.99/130.29 (define @t81 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 129.99/130.29 (define @t82 () (and @t72 @t81 @t19 @t80)) % 129.99/130.29 (define @t83 () (forall @t31 (=> @t82 @t78))) % 129.99/130.29 (define @t84 () (tptp.slbdtrb0 @t1)) % 129.99/130.29 (define @t85 () (tptp.slbdtrb0 tptp.sz00)) % 129.99/130.29 (define @t86 () (tptp.slbdtrb0 @t5)) % 129.99/130.29 (define @t87 () (tptp.sbrdtbr0 @t35)) % 129.99/130.29 (define @t88 () (tptp.aSubsetOf0 @t35 @t1)) % 129.99/130.29 (define @t89 () (tptp.slbdtsldtrb0 @t1 @t5)) % 129.99/130.29 (define @t90 () (tptp.slbdtsldtrb0 @t5 @t1)) % 129.99/130.29 (define @t91 () (tptp.aFunction0 @t1)) % 129.99/130.29 (define @t92 () (tptp.szDzozmdt0 @t1)) % 129.99/130.29 (define @t93 () (tptp.sdtlpdtrp0 @t1 @t5)) % 129.99/130.29 (define @t94 () (tptp.aElementOf0 @t5 @t92)) % 129.99/130.29 (define @t95 () (tptp.sdtlpdtrp0 @t1 @t35)) % 129.99/130.29 (define @t96 () (tptp.aElementOf0 @t35 @t92)) % 129.99/130.29 (define @t97 () (tptp.sdtlbdtrb0 @t1 @t5)) % 129.99/130.29 (define @t98 () (and @t91 @t6)) % 129.99/130.29 (define @t99 () (@var "W4" $$unsorted)) % 129.99/130.29 (define @t100 () (tptp.aElementOf0 @t99 @t5)) % 129.99/130.29 (define @t101 () (@list @t99)) % 129.99/130.29 (define @t102 () (tptp.sdtlcdtrc0 @t1 @t5)) % 129.99/130.29 (define @t103 () (tptp.aSubsetOf0 @t5 @t92)) % 129.99/130.29 (define @t104 () (tptp.sdtlcdtrc0 @t1 @t92)) % 129.99/130.29 (define @t105 () (tptp.aElementOf0 @t35 @t5)) % 129.99/130.29 (define @t106 () (tptp.szDzozmdt0 @t21)) % 129.99/130.29 (define @t107 () (tptp.aFunction0 @t21)) % 129.99/130.29 (define @t108 () (tptp.szDzizrdt0 @t1)) % 129.99/130.29 (define @t109 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 129.99/130.29 (define @t110 () (tptp.aElementOf0 @t1 tptp.xS)) % 129.99/130.29 (define @t111 () (tptp.szDzozmdt0 tptp.xc)) % 129.99/130.29 (define @t112 () (tptp.sdtlcdtrc0 tptp.xc @t111)) % 129.99/130.29 (define @t113 () (tptp.aElementOf0 @t1 tptp.xT)) % 129.99/130.29 (define @t114 () (tptp.aElementOf0 @t1 @t112)) % 129.99/130.29 (define @t115 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 129.99/130.29 (define @t116 () (tptp.aElementOf0 @t1 @t111)) % 129.99/130.29 (define @t117 () (= @t66 tptp.xK)) % 129.99/130.29 (define @t118 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 129.99/130.29 (define @t119 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 129.99/130.29 (define @t120 () (@var "W5" $$unsorted)) % 129.99/130.29 (define @t121 () (@var "W6" $$unsorted)) % 129.99/130.29 (define @t122 () (@list @t120)) % 129.99/130.29 (define @t123 () (tptp.aElementOf0 @t35 tptp.xT)) % 129.99/130.29 (define @t124 () (tptp.sdtlcdtrc0 @t21 @t106)) % 129.99/130.29 (define @t125 () (tptp.aElementOf0 @t35 @t124)) % 129.99/130.29 (define @t126 () (tptp.aElementOf0 @t35 @t106)) % 129.99/130.29 (define @t127 () (= @t87 @t1)) % 129.99/130.29 (define @t128 () (tptp.aSubsetOf0 @t35 @t5)) % 129.99/130.29 (define @t129 () (tptp.aElementOf0 @t99 @t35)) % 129.99/130.29 (define @t130 () (forall @t101 (=> @t129 @t100))) % 129.99/130.29 (define @t131 () (tptp.aSet0 @t35)) % 129.99/130.29 (define @t132 () (tptp.sdtlpdtrp0 tptp.xN @t50)) % 129.99/130.29 (define @t133 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 129.99/130.29 (define @t134 () (tptp.szmzizndt0 @t133)) % 129.99/130.29 (define @t135 () (tptp.sdtmndt0 @t133 @t134)) % 129.99/130.29 (define @t136 () (tptp.aElementOf0 @t5 @t135)) % 129.99/130.29 (define @t137 () (tptp.aElementOf0 @t5 @t133)) % 129.99/130.29 (define @t138 () (forall @t8 (= @t136 (and @t6 @t137 (not (= @t5 @t134)))))) % 129.99/130.29 (define @t139 () (tptp.aSet0 @t135)) % 129.99/130.29 (define @t140 () (forall @t8 (=> @t137 (tptp.sdtlseqdt0 @t134 @t5)))) % 129.99/130.29 (define @t141 () (tptp.aElementOf0 @t134 @t133)) % 129.99/130.29 (define @t142 () (tptp.isCountable0 @t133)) % 129.99/130.29 (define @t143 () (tptp.aSubsetOf0 @t133 tptp.szNzAzT0)) % 129.99/130.29 (define @t144 () (forall @t8 (=> @t137 @t53))) % 129.99/130.29 (define @t145 () (tptp.aSet0 @t133)) % 129.99/130.29 (define @t146 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 129.99/130.29 (define @t147 () (tptp.szDzozmdt0 tptp.xN)) % 129.99/130.29 (define @t148 () (and @t145 @t144 @t143 @t142)) % 129.99/130.29 (define @t149 () (=> @t51 @t148)) % 129.99/130.29 (define @t150 () (forall @t3 @t149)) % 129.99/130.29 (define @t151 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 129.99/130.29 (define @t152 () (tptp.aElementOf0 @t21 @t151)) % 129.99/130.29 (define @t153 () (tptp.aElementOf0 @t21 @t133)) % 129.99/130.29 (define @t154 () (= @t134 (tptp.szmzizndt0 @t151))) % 129.99/130.29 (define @t155 () (tptp.sdtlseqdt0 @t134 @t21)) % 129.99/130.29 (define @t156 () (forall @t24 (=> @t152 @t155))) % 129.99/130.29 (define @t157 () (tptp.aElementOf0 @t134 @t151)) % 129.99/130.29 (define @t158 () (and @t157 @t156)) % 129.99/130.29 (define @t159 () (or @t158 @t154)) % 129.99/130.29 (define @t160 () (forall @t24 (=> @t153 @t155))) % 129.99/130.29 (define @t161 () (and @t141 @t160)) % 129.99/130.29 (define @t162 () (=> @t161 @t159)) % 129.99/130.29 (define @t163 () (not @t162)) % 129.99/130.29 (define @t164 () (not @t29)) % 129.99/130.29 (define @t165 () (and @t51 @t53 @t164)) % 129.99/130.29 (define @t166 () (=> @t165 @t163)) % 129.99/130.29 (define @t167 () (forall @t31 @t166)) % 129.99/130.29 (define @t168 () (tptp.sdtpldt0 @t5 @t134)) % 129.99/130.29 (define @t169 () (tptp.aElementOf0 @t21 @t168)) % 129.99/130.29 (define @t170 () (= @t21 @t134)) % 129.99/130.29 (define @t171 () (tptp.aElement0 @t21)) % 129.99/130.29 (define @t172 () (forall @t24 (= @t169 (and @t171 (or @t23 @t170))))) % 129.99/130.29 (define @t173 () (tptp.slbdtsldtrb0 @t135 tptp.xk)) % 129.99/130.29 (define @t174 () (= @t68 tptp.xk)) % 129.99/130.29 (define @t175 () (tptp.aSubsetOf0 @t5 @t135)) % 129.99/130.29 (define @t176 () (tptp.aElementOf0 @t21 @t135)) % 129.99/130.29 (define @t177 () (forall @t24 (=> @t23 @t176))) % 129.99/130.29 (define @t178 () (and @t139 (forall @t24 (= @t176 (and @t171 @t153 (not @t170)))))) % 129.99/130.29 (define @t179 () (and @t25 (=> @t161 (=> @t178 (or (and (or @t177 @t175) @t174) (tptp.aElementOf0 @t5 @t173)))))) % 129.99/130.29 (define @t180 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 129.99/130.29 (define @t181 () (tptp.sdtlpdtrp0 @t180 @t5)) % 129.99/130.29 (define @t182 () (tptp.szDzozmdt0 @t180)) % 129.99/130.29 (define @t183 () (tptp.aElementOf0 @t5 @t182)) % 129.99/130.29 (define @t184 () (or (and @t25 @t177) @t175)) % 129.99/130.29 (define @t185 () (tptp.sdtlcdtrc0 @t180 @t182)) % 129.99/130.29 (define @t186 () (tptp.aElementOf0 @t5 tptp.xT)) % 129.99/130.29 (define @t187 () (tptp.aElementOf0 @t5 @t185)) % 129.99/130.29 (define @t188 () (= (tptp.sdtlpdtrp0 @t180 @t21) @t5)) % 129.99/130.29 (define @t189 () (tptp.aSubsetOf0 @t21 @t135)) % 129.99/130.29 (define @t190 () (tptp.aElementOf0 @t35 @t135)) % 129.99/130.29 (define @t191 () (forall @t40 (=> @t39 @t190))) % 129.99/130.29 (define @t192 () (tptp.aElementOf0 @t35 @t133)) % 129.99/130.29 (define @t193 () (forall @t40 (= @t190 (and @t38 @t192 (not (= @t35 @t134)))))) % 129.99/130.29 (define @t194 () (forall @t40 (=> @t192 (tptp.sdtlseqdt0 @t134 @t35)))) % 129.99/130.29 (define @t195 () (= @t69 tptp.xk)) % 129.99/130.29 (define @t196 () (tptp.slbdtsldtrb0 @t132 tptp.xk)) % 129.99/130.29 (define @t197 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 129.99/130.29 (define @t198 () (tptp.sdtlseqdt0 @t197 @t5)) % 129.99/130.29 (define @t199 () (forall @t8 (=> @t137 @t198))) % 129.99/130.29 (define @t200 () (tptp.aElementOf0 @t197 @t133)) % 129.99/130.29 (define @t201 () (and @t200 @t199 (= @t197 @t134))) % 129.99/130.29 (define @t202 () (=> @t51 @t201)) % 129.99/130.29 (define @t203 () (forall @t3 @t202)) % 129.99/130.29 (define @t204 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 129.99/130.29 (define @t205 () (tptp.szDzozmdt0 tptp.xd)) % 129.99/130.29 (define @t206 () (tptp.sdtlcdtrc0 tptp.xd @t205)) % 129.99/130.29 (define @t207 () (tptp.aElementOf0 @t1 @t206)) % 129.99/130.29 (define @t208 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 129.99/130.29 (define @t209 () (tptp.szDzizrdt0 tptp.xd)) % 129.99/130.29 (define @t210 () (tptp.sdtlbdtrb0 tptp.xd @t209)) % 129.99/130.29 (define @t211 () (tptp.aElementOf0 @t1 @t210)) % 129.99/130.29 (define @t212 () (forall @t3 (= @t211 (and (tptp.aElementOf0 @t1 @t205) (= @t204 @t209))))) % 129.99/130.29 (define @t213 () (tptp.aSet0 @t210)) % 129.99/130.29 (define @t214 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 129.99/130.29 (define @t215 () (tptp.aElementOf0 @t5 @t210)) % 129.99/130.29 (define @t216 () (exists @t8 (and @t215 @t214))) % 129.99/130.29 (define @t217 () (tptp.aElementOf0 @t1 tptp.xO)) % 129.99/130.29 (define @t218 () (tptp.aSet0 tptp.xO)) % 129.99/130.29 (define @t219 () (tptp.aElementOf0 @t1 tptp.xQ)) % 129.99/130.29 (define @t220 () (forall @t3 (=> @t219 @t217))) % 129.99/130.29 (define @t221 () (exists @t3 @t219)) % 129.99/130.29 (define @t222 () (not @t221)) % 129.99/130.29 (define @t223 () (or @t222 (= tptp.xQ tptp.slcrc0))) % 129.99/130.29 (define @t224 () (not @t223)) % 129.99/130.29 (define @t225 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 129.99/130.29 (define @t226 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 129.99/130.29 (define @t227 () (forall @t3 (=> @t219 @t110))) % 129.99/130.29 (define @t228 () (tptp.szmzizndt0 tptp.xQ)) % 129.99/130.29 (define @t229 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 129.99/130.29 (define @t230 () (tptp.aElementOf0 @t1 tptp.xP)) % 129.99/130.29 (define @t231 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn)) % 129.99/130.29 (define @t232 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 129.99/130.29 (define @t233 () (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t209)) % 129.99/130.29 (define @t234 () (not (= tptp.xx @t228))) % 129.99/130.29 (define @t235 () (tptp.aElementOf0 tptp.xx tptp.xQ)) % 129.99/130.29 (define @t236 () (= @t197 tptp.xx)) % 129.99/130.29 (define @t237 () (and @t211 @t236)) % 129.99/130.29 (define @t238 () (exists @t3 @t237)) % 129.99/130.29 (define @t239 () (tptp.sdtlpdtrp0 tptp.xe tptp.xm)) % 129.99/130.29 (define @t240 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 129.99/130.29 (define @t241 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 129.99/130.29 (define @t242 () (tptp.aElementOf0 @t1 @t241)) % 129.99/130.29 (define @t243 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))) % 129.99/130.29 (define @t244 () (tptp.aElementOf0 tptp.xx @t243)) % 129.99/130.29 (define @t245 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 129.99/130.29 (define @t246 () (tptp.aSubsetOf0 @t245 @t241)) % 129.99/130.29 (define @t247 () (tptp.aElementOf0 @t1 @t245)) % 129.99/130.29 (define @t248 () (forall @t3 (=> @t247 @t242))) % 129.99/130.29 (define @t249 () (and @t248 @t246)) % 129.99/130.29 (define @t250 () (=> @t249 @t244)) % 129.99/130.29 (define @t251 () (not @t250)) % 129.99/130.29 (define @t252 () (= @t1 @t85)) % 129.99/130.29 (define @t253 () (forall @t8 @t67)) % 129.99/130.29 (define @t254 () (and @t2 @t253)) % 129.99/130.29 (define @t255 () (= @t13 @t254)) % 129.99/130.29 (define @t256 () (tptp.aSet0 @t85)) % 129.99/130.29 (define @t257 () (and @t256 (forall @t8 (not (tptp.aElementOf0 @t5 @t85))))) % 129.99/130.29 (define @t258 () (= @t85 @t85)) % 129.99/130.29 (define @t259 () (forall @t3 (= @t254 @t252))) % 129.99/130.29 (define @t260 () (= @t257 @t258)) % 129.99/130.29 (define @t261 () (@list false)) % 129.99/130.29 (define @t262 () (tptp.isCountable0 tptp.slcrc0)) % 129.99/130.29 (define @t263 () (not @t262)) % 129.99/130.29 (define @t264 () (tptp.aSet0 tptp.slcrc0)) % 129.99/130.29 (define @t265 () (not @t264)) % 129.99/130.29 (define @t266 () (or @t265 @t263)) % 129.99/130.29 (define @t267 () (not (= tptp.slcrc0 tptp.slcrc0))) % 129.99/130.29 (define @t268 () (or @t265 @t263 @t267)) % 129.99/130.29 (define @t269 () (not @t16)) % 129.99/130.29 (define @t270 () (not @t2)) % 129.99/130.29 (define @t271 () (or @t19 @t270 @t269 @t19)) % 129.99/130.29 (define @t272 () (or @t270 @t269 @t19)) % 129.99/130.29 (define @t273 () (tptp.isCountable0 @t85)) % 129.99/130.29 (define @t274 () (not @t273)) % 129.99/130.29 (define @t275 () (not @t137)) % 129.99/130.29 (define @t276 () (or @t275 @t53)) % 129.99/130.29 (define @t277 () (forall @t8 @t276)) % 129.99/130.29 (define @t278 () (and @t145 @t277 @t143 @t142)) % 129.99/130.29 (define @t279 () (not @t51)) % 129.99/130.29 (define @t280 () (or @t279 @t278)) % 129.99/130.29 (define @t281 () (@list tptp.xm)) % 129.99/130.29 (define @t282 () (tptp.isCountable0 @t241)) % 129.99/130.29 (define @t283 () (tptp.aElementOf0 @t5 @t147)) % 129.99/130.29 (define @t284 () (not (tptp.aElementOf0 @t5 @t241))) % 129.99/130.29 (define @t285 () (and (tptp.aSet0 @t241) (forall @t8 (or @t284 @t283)) (tptp.aSubsetOf0 @t241 @t147) @t282)) % 129.99/130.29 (define @t286 () (tptp.aElementOf0 tptp.xm @t147)) % 129.99/130.29 (define @t287 () (not @t286)) % 129.99/130.29 (define @t288 () (or @t287 @t285)) % 129.99/130.29 (define @t289 () (@list false false)) % 129.99/130.29 (define @t290 () (not @t55)) % 129.99/130.29 (define @t291 () (not @t53)) % 129.99/130.29 (define @t292 () (or @t291 @t290)) % 129.99/130.29 (define @t293 () (forall @t8 @t292)) % 129.99/130.29 (define @t294 () (not @t293)) % 129.99/130.29 (define @t295 () (or @t279 @t58 @t294)) % 129.99/130.29 (define @t296 () (or @t58 @t294)) % 129.99/130.29 (define @t297 () (forall @t8 (not @t56))) % 129.99/130.29 (define @t298 () (not @t297)) % 129.99/130.29 (define @t299 () (not (= tptp.xm @t52))) % 129.99/130.29 (define @t300 () (not @t283)) % 129.99/130.29 (define @t301 () (or @t300 @t299)) % 129.99/130.29 (define @t302 () (forall @t8 @t301)) % 129.99/130.29 (define @t303 () (not @t302)) % 129.99/130.29 (define @t304 () (or @t287 (= tptp.xm tptp.sz00) @t303)) % 129.99/130.29 (define @t305 () (not (tptp.aElementOf0 @t1 @t147))) % 129.99/130.29 (define @t306 () (forall @t3 (or @t305 @t58 (not (forall @t8 (or @t300 @t290)))))) % 129.99/130.29 (define @t307 () (forall @t8 (or @t300 (not (= @t52 tptp.xm))))) % 129.99/130.29 (define @t308 () (not @t307)) % 129.99/130.29 (define @t309 () (= tptp.sz00 tptp.xm)) % 129.99/130.29 (define @t310 () (or @t287 @t309 @t308)) % 129.99/130.29 (define @t311 () (= @t228 tptp.xx)) % 129.99/130.29 (define @t312 () (and @t200 (forall @t8 (or @t275 @t198)) (= @t134 @t197))) % 129.99/130.29 (define @t313 () (or @t279 @t312)) % 129.99/130.29 (define @t314 () (tptp.sdtlpdtrp0 tptp.xe tptp.sz00)) % 129.99/130.29 (define @t315 () (tptp.szmzizndt0 @t146)) % 129.99/130.29 (define @t316 () (= @t315 @t314)) % 129.99/130.29 (define @t317 () (and (tptp.aElementOf0 @t314 @t146) (forall @t8 (or (not (tptp.aElementOf0 @t5 @t146)) (tptp.sdtlseqdt0 @t314 @t5))) @t316)) % 129.99/130.29 (define @t318 () (tptp.aElementOf0 tptp.sz00 @t147)) % 129.99/130.29 (define @t319 () (not @t318)) % 129.99/130.29 (define @t320 () (or @t319 @t317)) % 129.99/130.29 (define @t321 () (= @t228 @t315)) % 129.99/130.29 (define @t322 () (not @t321)) % 129.99/130.29 (define @t323 () (not @t316)) % 129.99/130.29 (define @t324 () (not @t309)) % 129.99/130.29 (define @t325 () (= @t228 @t239)) % 129.99/130.29 (define @t326 () (not @t325)) % 129.99/130.29 (define @t327 () (and @t326 @t309 @t316)) % 129.99/130.29 (define @t328 () (tptp.aElementOf0 @t239 tptp.xQ)) % 129.99/130.29 (define @t329 () (tptp.aElementOf0 @t315 tptp.xQ)) % 129.99/130.29 (define @t330 () (and @t328 @t309 @t316)) % 129.99/130.29 (define @t331 () (= tptp.slcrc0 tptp.xQ)) % 129.99/130.29 (define @t332 () (not @t219)) % 129.99/130.29 (define @t333 () (forall @t3 @t332)) % 129.99/130.29 (define @t334 () (or @t333 @t331)) % 129.99/130.29 (define @t335 () (or @t332 @t110)) % 129.99/130.29 (define @t336 () (tptp.aElementOf0 @t228 @t146)) % 129.99/130.29 (define @t337 () (tptp.aElementOf0 @t228 tptp.xQ)) % 129.99/130.29 (define @t338 () (not @t337)) % 129.99/130.29 (define @t339 () (or @t338 @t336)) % 129.99/130.29 (define @t340 () (not @t75)) % 129.99/130.29 (define @t341 () (not @t76)) % 129.99/130.29 (define @t342 () (not @t81)) % 129.99/130.29 (define @t343 () (not @t72)) % 129.99/130.29 (define @t344 () (or @t343 @t342 @t13 @t79 @t341 @t340 @t74)) % 129.99/130.29 (define @t345 () (or @t341 @t340 @t74)) % 129.99/130.29 (define @t346 () (not @t80)) % 129.99/130.29 (define @t347 () (not @t19)) % 129.99/130.29 (define @t348 () (or @t343 @t342 @t347 @t346)) % 129.99/130.29 (define @t349 () (not @t329)) % 129.99/130.29 (define @t350 () (not @t336)) % 129.99/130.29 (define @t351 () (tptp.aSubsetOf0 @t146 @t147)) % 129.99/130.29 (define @t352 () (not @t351)) % 129.99/130.29 (define @t353 () (tptp.aSubsetOf0 tptp.xQ @t147)) % 129.99/130.29 (define @t354 () (not @t353)) % 129.99/130.29 (define @t355 () (= tptp.xQ @t85)) % 129.99/130.29 (define @t356 () (or @t354 @t352 @t355 (= @t146 @t85) @t350 @t349 @t321)) % 129.99/130.29 (define @t357 () (forall @t31 (or (not (tptp.aSubsetOf0 @t1 @t147)) (not (tptp.aSubsetOf0 @t5 @t147)) @t252 (= @t5 @t85) @t341 @t340 @t74))) % 129.99/130.29 (define @t358 () (= @t85 @t146)) % 129.99/130.29 (define @t359 () (= @t85 tptp.xQ)) % 129.99/130.29 (define @t360 () (or @t354 @t352 @t359 @t358 @t350 @t349 @t321)) % 129.99/130.29 (define @t361 () (@list @t357)) % 129.99/130.29 (define @t362 () (not @t358)) % 129.99/130.29 (define @t363 () (not @t282)) % 129.99/130.29 (define @t364 () (not @t274)) % 129.99/130.29 (define @t365 () (= true false)) % 129.99/130.29 (define @t366 () (and @t274 @t358 @t309 @t282)) % 129.99/130.29 (define @t367 () (@quantifiers_skolemize @t307 0)) % 129.99/130.29 (define @t368 () (tptp.szszuzczcdt0 @t367)) % 129.99/130.29 (define @t369 () (= tptp.xm @t368)) % 129.99/130.29 (define @t370 () (not @t369)) % 129.99/130.29 (define @t371 () (not (tptp.aElementOf0 @t367 @t147))) % 129.99/130.29 (define @t372 () (or @t371 @t370)) % 129.99/130.29 (define @t373 () (not @t372)) % 129.99/130.29 (define @t374 () (not (= @t368 tptp.xm))) % 129.99/130.29 (define @t375 () (or @t371 @t374)) % 129.99/130.29 (define @t376 () (not @t375)) % 129.99/130.29 (define @t377 () (@list true)) % 129.99/130.29 (define @t378 () (not @t154)) % 129.99/130.29 (define @t379 () (forall @t24 (or (not @t152) @t155))) % 129.99/130.29 (define @t380 () (or (not @t157) (not @t379))) % 129.99/130.29 (define @t381 () (forall @t24 (or (not @t153) @t155))) % 129.99/130.29 (define @t382 () (and @t141 @t381 @t380 @t378)) % 129.99/130.29 (define @t383 () (or @t279 @t291 @t29 @t382)) % 129.99/130.29 (define @t384 () (and @t141 @t381)) % 129.99/130.29 (define @t385 () (and @t157 @t379)) % 129.99/130.29 (define @t386 () (or @t385 @t154)) % 129.99/130.29 (define @t387 () (not @t164)) % 129.99/130.29 (define @t388 () (or @t279 @t291 @t387)) % 129.99/130.29 (define @t389 () (not (=> @t384 @t386))) % 129.99/130.29 (define @t390 () (not @t211)) % 129.99/130.29 (define @t391 () (forall @t3 (or @t390 (not (= @t197 @t239))))) % 129.99/130.29 (define @t392 () (@quantifiers_skolemize @t391 0)) % 129.99/130.29 (define @t393 () (tptp.sdtlpdtrp0 tptp.xN @t392)) % 129.99/130.29 (define @t394 () (tptp.szmzizndt0 @t393)) % 129.99/130.29 (define @t395 () (tptp.sdtlpdtrp0 tptp.xe @t392)) % 129.99/130.29 (define @t396 () (not (tptp.aElementOf0 @t5 @t393))) % 129.99/130.29 (define @t397 () (forall @t8 (or @t396 (tptp.sdtlseqdt0 @t395 @t5)))) % 129.99/130.29 (define @t398 () (tptp.aElementOf0 @t395 @t393)) % 129.99/130.29 (define @t399 () (and @t398 @t397 (= @t394 @t395))) % 129.99/130.29 (define @t400 () (tptp.aElementOf0 @t392 @t147)) % 129.99/130.29 (define @t401 () (not @t400)) % 129.99/130.29 (define @t402 () (or @t401 @t399)) % 129.99/130.29 (define @t403 () (forall @t3 (or @t305 @t312))) % 129.99/130.29 (define @t404 () (@list @t392)) % 129.99/130.29 (define @t405 () (= @t395 @t394)) % 129.99/130.29 (define @t406 () (and @t398 @t397 @t405)) % 129.99/130.29 (define @t407 () (or @t401 @t406)) % 129.99/130.29 (define @t408 () (@list @t403)) % 129.99/130.29 (define @t409 () (tptp.sdtlpdtrp0 tptp.xd @t392)) % 129.99/130.29 (define @t410 () (tptp.aElementOf0 @t392 @t205)) % 129.99/130.29 (define @t411 () (and @t410 (= @t409 @t209))) % 129.99/130.29 (define @t412 () (tptp.aElementOf0 @t392 @t210)) % 129.99/130.29 (define @t413 () (= @t412 @t411)) % 129.99/130.29 (define @t414 () (and @t410 (= @t209 @t409))) % 129.99/130.29 (define @t415 () (= @t412 @t414)) % 129.99/130.29 (define @t416 () (not @t236)) % 129.99/130.29 (define @t417 () (or @t390 @t416)) % 129.99/130.29 (define @t418 () (forall @t3 @t417)) % 129.99/130.29 (define @t419 () (forall @t3 (not @t237))) % 129.99/130.29 (define @t420 () (not @t419)) % 129.99/130.29 (define @t421 () (= @t239 @t395)) % 129.99/130.29 (define @t422 () (not @t421)) % 129.99/130.29 (define @t423 () (not @t412)) % 129.99/130.29 (define @t424 () (or @t423 @t422)) % 129.99/130.29 (define @t425 () (not @t424)) % 129.99/130.29 (define @t426 () (not @t391)) % 129.99/130.29 (define @t427 () (not (= @t395 @t239))) % 129.99/130.29 (define @t428 () (or @t423 @t427)) % 129.99/130.29 (define @t429 () (not @t428)) % 129.99/130.29 (define @t430 () (@list @t424)) % 129.99/130.29 (define @t431 () (tptp.szmzizndt0 @t241)) % 129.99/130.29 (define @t432 () (forall @t8 (or @t284 (tptp.sdtlseqdt0 @t239 @t5)))) % 129.99/130.29 (define @t433 () (tptp.aElementOf0 @t239 @t241)) % 129.99/130.29 (define @t434 () (and @t433 @t432 (= @t431 @t239))) % 129.99/130.29 (define @t435 () (or @t287 @t434)) % 129.99/130.29 (define @t436 () (= @t239 @t431)) % 129.99/130.29 (define @t437 () (and @t433 @t432 @t436)) % 129.99/130.29 (define @t438 () (or @t287 @t437)) % 129.99/130.29 (define @t439 () (= @t431 @t394)) % 129.99/130.29 (define @t440 () (not @t439)) % 129.99/130.29 (define @t441 () (tptp.sdtlseqdt0 @t431 @t21)) % 129.99/130.29 (define @t442 () (and (tptp.aElementOf0 @t431 @t241) (forall @t24 (or (not (tptp.aElementOf0 @t21 @t241)) @t441)) (or (not (tptp.aElementOf0 @t431 @t393)) (not (forall @t24 (or (not (tptp.aElementOf0 @t21 @t393)) @t441)))) @t440)) % 129.99/130.29 (define @t443 () (not @t442)) % 129.99/130.29 (define @t444 () (= tptp.xm @t392)) % 129.99/130.29 (define @t445 () (or @t287 @t401 @t444 @t442)) % 129.99/130.29 (define @t446 () (tptp.aElementOf0 @t228 @t393)) % 129.99/130.29 (define @t447 () (not @t446)) % 129.99/130.29 (define @t448 () (tptp.aElementOf0 @t394 tptp.xQ)) % 129.99/130.29 (define @t449 () (not @t448)) % 129.99/130.29 (define @t450 () (tptp.aSubsetOf0 @t393 @t147)) % 129.99/130.29 (define @t451 () (not @t450)) % 129.99/130.29 (define @t452 () (or @t451 @t354 (= @t393 @t85) @t355 @t449 @t447 (= @t394 @t228))) % 129.99/130.29 (define @t453 () (= @t228 @t394)) % 129.99/130.29 (define @t454 () (= @t85 @t393)) % 129.99/130.29 (define @t455 () (or @t451 @t354 @t454 @t359 @t449 @t447 @t453)) % 129.99/130.29 (define @t456 () (and (forall @t3 (or (not @t247) @t242)) @t246)) % 129.99/130.29 (define @t457 () (=> @t456 @t244)) % 129.99/130.29 (define @t458 () (tptp.szmzizndt0 @t245)) % 129.99/130.29 (define @t459 () (forall @t8 (or (not (tptp.aElementOf0 @t5 @t245)) (tptp.sdtlseqdt0 @t231 @t5)))) % 129.99/130.29 (define @t460 () (tptp.aElementOf0 @t231 @t245)) % 129.99/130.29 (define @t461 () (and @t460 @t459 (= @t458 @t231))) % 129.99/130.29 (define @t462 () (tptp.aElementOf0 tptp.xn @t147)) % 129.99/130.29 (define @t463 () (not @t462)) % 129.99/130.29 (define @t464 () (or @t463 @t461)) % 129.99/130.29 (define @t465 () (and @t460 @t459 (= @t231 @t458))) % 129.99/130.29 (define @t466 () (or @t463 @t465)) % 129.99/130.29 (define @t467 () (tptp.aElementOf0 @t231 @t241)) % 129.99/130.29 (define @t468 () (not @t460)) % 129.99/130.29 (define @t469 () (or @t468 @t467)) % 129.99/130.29 (define @t470 () (and (tptp.aSet0 @t393) (forall @t8 (or @t396 @t283)) @t450 (tptp.isCountable0 @t393))) % 129.99/130.29 (define @t471 () (or @t401 @t470)) % 129.99/130.29 (define @t472 () (not @t454)) % 129.99/130.29 (define @t473 () (not @t444)) % 129.99/130.29 (define @t474 () (tptp.sdtlpdtrp0 tptp.xN @t368)) % 129.99/130.29 (define @t475 () (and @t274 @t454 @t444 @t369 @t282)) % 129.99/130.29 (assume @p1 (forall @t3 (=> @t2 true))) % 129.99/130.29 (assume @p2 (forall @t3 (=> @t4 true))) % 129.99/130.29 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 129.99/130.29 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 129.99/130.29 (assume @p5 @t15) % 129.99/130.29 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 129.99/130.29 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 129.99/130.29 (assume @p8 (forall @t3 (=> @t18 @t17))) % 129.99/130.29 (assume @p9 @t20) % 129.99/130.29 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t26 (and @t25 (forall @t24 (=> @t23 @t22)))))))) % 129.99/130.29 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t26 @t27))))) % 129.99/130.29 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 129.99/130.29 (assume @p13 (forall @t31 (=> (and @t2 @t25) (=> (and @t30 @t26) @t29)))) % 129.99/130.29 (assume @p14 (forall @t34 (=> (and @t2 @t25 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t21))))) % 129.99/130.29 (assume @p15 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 129.99/130.29 (assume @p16 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 129.99/130.29 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 129.99/130.29 (assume @p18 (forall @t31 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 129.99/130.29 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 129.99/130.29 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 129.99/130.29 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 129.99/130.29 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 129.99/130.29 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 129.99/130.29 (assume @p24 @t49) % 129.99/130.29 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 129.99/130.29 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 129.99/130.29 (assume @p27 @t61) % 129.99/130.29 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 129.99/130.29 (assume @p29 (forall @t31 (=> @t54 (=> @t62 true)))) % 129.99/130.29 (assume @p30 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 129.99/130.29 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 129.99/130.29 (assume @p32 (forall @t31 (=> @t54 (= @t62 (tptp.sdtlseqdt0 @t50 @t52))))) % 129.99/130.29 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 129.99/130.29 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 129.99/130.29 (assume @p35 (forall @t31 (=> @t54 (=> (and @t62 @t63) @t29)))) % 129.99/130.29 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t65) (=> (and @t62 @t64) (tptp.sdtlseqdt0 @t1 @t21))))) % 129.99/130.29 (assume @p37 (forall @t31 (=> @t54 (or @t62 (tptp.sdtlseqdt0 @t52 @t1))))) % 129.99/130.29 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 129.99/130.29 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 129.99/130.29 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t66)))) % 129.99/130.29 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t66 tptp.szNzAzT0) @t9)))) % 129.99/130.29 (assume @p42 (forall @t3 (=> @t2 (= (= @t66 tptp.sz00) @t13)))) % 129.99/130.29 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> @t67 (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t66)))))))) % 129.99/130.29 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t66)))))) % 129.99/130.29 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t26) (tptp.sdtlseqdt0 @t68 @t66)))))) % 129.99/130.29 (assume @p46 (forall @t31 (=> @t70 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t66)) (exists @t24 (and (tptp.aSubsetOf0 @t21 @t1) (= @t69 @t5))))))) % 129.99/130.29 (assume @p47 (forall @t3 (=> (and @t72 @t19) (forall @t8 (= (= @t5 @t71) (and @t7 (forall @t24 (=> @t22 @t64)))))))) % 129.99/130.29 (assume @p48 (forall @t3 (=> (and @t72 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t24 (=> @t22 (tptp.sdtlseqdt0 @t21 @t5))))))))) % 129.99/130.29 (assume @p49 @t83) % 129.99/130.29 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t84) (and @t25 (forall @t24 (= @t23 (and @t65 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t21) @t1)))))))))) % 129.99/130.29 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t84)))) % 129.99/130.29 (assume @p52 (= @t85 tptp.slcrc0)) % 129.99/130.29 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t86) @t29))))) % 129.99/130.29 (assume @p54 (forall @t31 (=> @t54 (= @t62 (tptp.aSubsetOf0 @t84 @t86))))) % 129.99/130.29 (assume @p55 (forall @t3 (=> (and @t72 @t9) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t86)))))) % 129.99/130.29 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t84) @t1)))) % 129.99/130.29 (assume @p57 (forall @t31 (=> @t70 (forall @t24 (= (= @t21 @t89) (and @t33 (forall @t40 (= @t39 (and @t88 (= @t87 @t5)))))))))) % 129.99/130.29 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t53 (tptp.isFinite0 @t89)))))) % 129.99/130.29 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t53 (not (= @t89 tptp.slcrc0))))))) % 129.99/130.29 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t89)))))) % 129.99/130.29 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t21) (=> (and @t25 @t33 (not @t58)) (=> (and (tptp.aSubsetOf0 @t90 (tptp.slbdtsldtrb0 @t21 @t1)) (not (= @t90 tptp.slcrc0))) @t32)))))) % 129.99/130.29 (assume @p62 (forall @t31 (=> @t70 (forall @t24 (=> (and (tptp.aSubsetOf0 @t21 @t89) (tptp.isFinite0 @t21)) (exists @t40 (and @t88 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t21 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 129.99/130.29 (assume @p63 (forall @t3 (=> @t91 true))) % 129.99/130.29 (assume @p64 (forall @t3 (=> @t91 (tptp.aSet0 @t92)))) % 129.99/130.29 (assume @p65 (forall @t3 (=> @t91 (forall @t8 (=> @t94 (tptp.aElement0 @t93)))))) % 129.99/130.29 (assume @p66 (forall @t31 (=> @t98 (forall @t24 (= (= @t21 @t97) (and @t33 (forall @t40 (= @t39 (and @t96 (= @t95 @t5)))))))))) % 129.99/130.29 (assume @p67 (forall @t31 (=> @t98 (tptp.aSubsetOf0 @t97 @t92)))) % 129.99/130.29 (assume @p68 (forall @t3 (=> @t91 (forall @t8 (=> @t103 (forall @t24 (= (= @t21 @t102) (and @t33 (forall @t40 (= @t39 (exists @t101 (and @t100 (= (tptp.sdtlpdtrp0 @t1 @t99) @t35))))))))))))) % 129.99/130.29 (assume @p69 (forall @t3 (=> @t91 (forall @t8 (=> @t94 (tptp.aElementOf0 @t93 @t104)))))) % 129.99/130.29 (assume @p70 (forall @t3 (=> @t91 (forall @t8 (=> @t103 (forall @t24 (= (= @t21 (tptp.sdtexdt0 @t1 @t5)) (and @t107 (= @t106 @t5) (forall @t40 (=> @t105 (= (tptp.sdtlpdtrp0 @t21 @t35) @t95))))))))))) % 129.99/130.29 (assume @p71 (forall @t3 (=> @t91 (forall @t8 (=> (and @t103 @t45) (=> (forall (@list @t21 @t35) (=> (and (tptp.aElementOf0 @t21 @t92) @t96 (not (= @t21 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t21) @t95)))) (tptp.isCountable0 @t102))))))) % 129.99/130.29 (assume @p72 (forall @t3 (=> @t91 (=> (and (tptp.isCountable0 @t92) (tptp.isFinite0 @t104)) (and (tptp.aElement0 @t108) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t108))))))) % 129.99/130.29 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 129.99/130.29 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 129.99/130.29 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t110 @t51)) @t109 (tptp.isCountable0 tptp.xS))) % 129.99/130.29 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t116 (and @t2 @t119 @t118 @t117)) (=> (and (or (and @t2 @t119) @t118) @t117) @t116))) (= @t111 @t115) (tptp.aSet0 @t112) (forall @t3 (= @t114 (exists @t8 (and (tptp.aElementOf0 @t5 @t111) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t114 @t113)) (tptp.aSubsetOf0 @t112 tptp.xT))) % 129.99/130.29 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and (or (and @t25 (forall @t24 (=> @t23 @t65))) @t81) @t45) (forall @t24 (=> (and @t107 (or (forall @t40 (and (=> @t126 (and (or (and @t131 @t130) @t128) @t127)) (=> (and @t131 @t130 @t128 @t127) @t126))) (= @t106 @t90)) (=> (and (tptp.aSet0 @t124) (forall @t40 (= @t125 (exists @t101 (and (tptp.aElementOf0 @t99 @t106) (= (tptp.sdtlpdtrp0 @t21 @t99) @t35)))))) (or (forall @t40 (=> @t125 @t123)) (tptp.aSubsetOf0 @t124 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and @t123 (exists @t101 (and (tptp.aSet0 @t99) (forall @t122 (=> (tptp.aElementOf0 @t120 @t99) (tptp.aElementOf0 @t120 @t5))) (tptp.aSubsetOf0 @t99 @t5) (tptp.isCountable0 @t99) (forall @t122 (=> (or (and (or (and (tptp.aSet0 @t120) (forall (@list @t121) (=> (tptp.aElementOf0 @t121 @t120) (tptp.aElementOf0 @t121 @t99)))) (tptp.aSubsetOf0 @t120 @t99)) (= (tptp.sbrdtbr0 @t120) @t1)) (tptp.aElementOf0 @t120 (tptp.slbdtsldtrb0 @t99 @t1))) (= (tptp.sdtlpdtrp0 @t21 @t120) @t35))))))))))))))) % 129.99/130.29 (assume @p78 (not (= tptp.xK tptp.sz00))) % 129.99/130.29 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 129.99/130.29 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t147 tptp.szNzAzT0) (= @t146 tptp.xS) (forall @t3 (=> @t51 (=> (and (or (and @t145 @t144) @t143) @t142) (and @t141 @t140 @t139 @t138 (tptp.aSet0 @t132) (forall @t8 (=> (tptp.aElementOf0 @t5 @t132) @t136)) (tptp.aSubsetOf0 @t132 @t135) (tptp.isCountable0 @t132))))))) % 129.99/130.29 (assume @p81 @t150) % 129.99/130.29 (assume @p82 (forall @t31 (=> @t54 (=> @t63 (and (forall @t24 (=> @t153 @t152)) (tptp.aSubsetOf0 @t133 @t151)))))) % 129.99/130.29 (assume @p83 @t167) % 129.99/130.29 (assume @p84 (forall @t3 (=> @t51 (forall @t8 (=> @t179 (and @t141 @t160 (tptp.aSet0 @t168) @t172 (forall @t24 (=> @t169 (tptp.aElementOf0 @t21 tptp.xS))) (tptp.aSubsetOf0 @t168 tptp.xS) (= (tptp.sbrdtbr0 @t168) tptp.xK) (tptp.aElementOf0 @t168 @t115))))))) % 129.99/130.29 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t51 (and (tptp.aFunction0 @t180) @t141 @t140 @t139 @t138 (forall @t8 (and (=> @t183 (and @t25 @t177 @t175 @t174)) (=> (and @t184 @t174) @t183))) (= @t182 @t173) (forall @t8 (=> @t179 (and @t141 @t160 @t172 (= @t181 (tptp.sdtlpdtrp0 tptp.xc @t168)))))))))) % 129.99/130.29 (assume @p86 (forall @t3 (=> @t51 (and (tptp.aSet0 @t185) (forall @t8 (= @t187 (exists @t24 (and (tptp.aElementOf0 @t21 @t182) @t188)))) (forall @t8 (=> @t187 @t186)) (tptp.aSubsetOf0 @t185 tptp.xT))))) % 129.99/130.29 (assume @p87 (forall @t3 (=> @t51 (forall @t8 (=> (and (=> @t161 (=> @t178 @t184)) @t45) (forall @t24 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 @t105)) (tptp.aSubsetOf0 @t21 @t5)) @t195) (tptp.aElementOf0 @t21 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t141 @t194 @t139 @t193 @t191 @t189 (tptp.aElementOf0 @t21 @t173))))))))) % 129.99/130.29 (assume @p88 (forall @t3 (=> @t51 (exists @t8 (and @t186 (exists @t24 (and @t141 @t194 @t139 @t193 @t33 @t191 @t189 (tptp.isCountable0 @t21) (forall @t40 (=> (and @t131 (or (and (or (forall @t101 (=> @t129 (tptp.aElementOf0 @t99 @t21))) (tptp.aSubsetOf0 @t35 @t21)) (= @t87 tptp.xk)) (tptp.aElementOf0 @t35 (tptp.slbdtsldtrb0 @t21 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t180 @t35) @t5)))))))))) % 129.99/130.29 (assume @p89 (forall @t3 (=> @t51 (exists @t8 (and @t186 (forall @t24 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 (tptp.aElementOf0 @t35 @t132))) (tptp.aSubsetOf0 @t21 @t132)) @t195) (tptp.aElementOf0 @t21 @t196))) @t188))))))) % 129.99/130.29 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t203)) % 129.99/130.29 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t205 tptp.szNzAzT0) (forall @t3 (=> @t51 (forall @t8 (=> (and @t25 (or (and (or (forall @t24 (=> @t23 (tptp.aElementOf0 @t21 @t132))) (tptp.aSubsetOf0 @t5 @t132)) @t174) (tptp.aElementOf0 @t5 @t196))) (= @t204 @t181))))))) % 129.99/130.29 (assume @p92 (and (tptp.aSet0 @t206) (forall @t3 (= @t207 (exists @t8 (and (tptp.aElementOf0 @t5 @t205) (= @t208 @t1))))) (forall @t3 (=> @t207 @t113)) (tptp.aSubsetOf0 @t206 tptp.xT))) % 129.99/130.29 (assume @p93 (and (tptp.aElementOf0 @t209 tptp.xT) @t213 @t212)) % 129.99/130.29 (assume @p94 (and @t218 @t213 @t212 (forall @t3 (= @t217 @t216)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t210)))) % 129.99/130.29 (assume @p95 (and @t218 (tptp.isCountable0 tptp.xO))) % 129.99/130.29 (assume @p96 (forall @t3 (=> (or @t216 @t217) (exists @t8 (and @t53 (= @t208 @t209) @t215 @t214))))) % 129.99/130.29 (assume @p97 (and (forall @t3 (=> @t217 @t110)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 129.99/130.29 (assume @p98 (and (tptp.aSet0 tptp.xQ) @t220 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 129.99/130.29 (assume @p99 (and @t220 @t224)) % 129.99/130.29 (assume @p100 (and (forall @t3 (=> @t219 @t51)) @t225)) % 129.99/130.29 (assume @p101 (and @t227 @t226 @t227 @t226 (tptp.aElementOf0 tptp.xQ @t111))) % 129.99/130.29 (assume @p102 (and @t229 (forall @t3 (=> @t219 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t228))) % 129.99/130.29 (assume @p103 (and (tptp.aSet0 tptp.xP) (forall @t3 (=> @t219 (tptp.sdtlseqdt0 @t228 @t1))) (forall @t3 (= @t230 (and @t4 @t219 (not (= @t1 @t228))))) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t228)))) % 129.99/130.29 (assume @p104 @t229) % 129.99/130.29 (assume @p105 (exists @t3 (and @t211 (= @t197 tptp.xp)))) % 129.99/130.29 (assume @p106 (and (forall @t3 (=> @t230 @t219)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 129.99/130.29 (assume @p107 (and (forall @t3 (=> @t230 @t217)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 129.99/130.29 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 129.99/130.29 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 129.99/130.29 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t205) @t233 (tptp.aElementOf0 tptp.xn @t210) @t232 (= @t231 tptp.xp))) % 129.99/130.29 (assume @p111 @t233) % 129.99/130.29 (assume @p112 (and (tptp.aElement0 tptp.xx) @t235 @t234 (tptp.aElementOf0 tptp.xx tptp.xP))) % 129.99/130.29 (assume @p113 (and (tptp.aElementOf0 tptp.xx tptp.szNzAzT0) @t238)) % 129.99/130.29 (assume @p114 (and @t240 (= tptp.xx @t239))) % 129.99/130.29 (assume @p115 (forall @t3 (=> @t242 (tptp.sdtlseqdt0 tptp.xx @t1)))) % 129.99/130.29 (assume @p116 (not (or (forall @t3 (=> @t242 (tptp.aElementOf0 @t1 @t243))) (tptp.aSubsetOf0 @t241 @t243)))) % 129.99/130.29 (assume @p117 @t251) % 129.99/130.29 (assume @p118 true) % 129.99/130.29 (step @p119 :rule eq-symm :args (@t252 @t254)) % 129.99/130.29 (step @p120 :rule cong :premises (@p119) :args ((forall @t3 (= @t252 @t254)))) % 129.99/130.29 (step @p121 :rule refl :args (@t254)) % 129.99/130.29 (step @p122 :rule symm :premises (@p52)) % 129.99/130.29 (step @p123 :rule refl :args (@t1)) % 129.99/130.29 (step @p124 :rule cong :premises (@p123 @p122) :args (@t13)) % 129.99/130.29 (step @p125 :rule cong :premises (@p124 @p121) :args (@t255)) % 129.99/130.29 (step @p126 :rule cong :premises (@p125) :args ((forall @t3 @t255))) % 129.99/130.29 (step @p127 :rule trans :premises (@p126 @p120)) % 129.99/130.29 (step @p128 :rule bool-double-not-elim :args (@t253)) % 129.99/130.29 (step @p129 :rule exists-elim :args ((= @t10 (not @t253)))) % 129.99/130.29 (step @p130 :rule cong :premises (@p129) :args (@t11)) % 129.99/130.29 (step @p131 :rule trans :premises (@p130 @p128)) % 129.99/130.29 (step @p132 :rule refl :args (@t2)) % 129.99/130.29 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t12)) % 129.99/130.29 (step @p134 :rule refl :args (@t13)) % 129.99/130.29 (step @p135 :rule cong :premises (@p134 @p133) :args (@t14)) % 129.99/130.29 (step @p136 :rule cong :premises (@p135) :args (@t15)) % 129.99/130.29 (step @p137 :rule trans :premises (@p136 @p127)) % 129.99/130.29 (step @p138 :rule eq_resolve :premises (@p5 @p137)) % 129.99/130.29 (step @p139 :rule bool-eq-true :args (@t257)) % 129.99/130.29 (step @p140 :rule eq-symm :args (true @t257)) % 129.99/130.29 (step @p141 :rule trans :premises (@p140 @p139)) % 129.99/130.29 (step @p142 :rule refl :args (@t257)) % 129.99/130.29 (step @p143 :rule eq-refl :args (@t85)) % 129.99/130.29 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t258 @t257))) % 129.99/130.29 (step @p145 :rule trans :premises (@p144 @p141)) % 129.99/130.29 (step @p146 :rule eq-symm :args (@t257 @t258)) % 129.99/130.29 (step @p147 :rule trans :premises (@p146 @p145)) % 129.99/130.29 (step @p148 :rule refl :args (@t259)) % 129.99/130.29 (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t259 @t260))) % 129.99/130.29 (assume-push @p843 @t259) % 129.99/130.29 (step @p151 :rule instantiate :premises (@p138) :args ((@list @t85))) % 129.99/130.29 (step-pop @p844 :rule scope :premises (@p151)) % 129.99/130.29 (step @p152 :rule process_scope :premises (@p844) :args (@t260)) % 129.99/130.29 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 129.99/130.29 (step @p155 :rule implies_elim :premises (@p154)) % 129.99/130.29 (step @p156 :rule chain_m_resolution :premises (@p155 @p138) :args (@t257 @t261 (@list @t259))) % 129.99/130.29 (step @p157 :rule cnf_and_pos :args (@t257 0)) % 129.99/130.29 (step @p158 :rule reordering :premises (@p157) :args ((or @t256 (not @t257)))) % 129.99/130.29 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t256 @t261 (@list @t257))) % 129.99/130.29 (step @p160 :rule cong :premises (@p122) :args (@t262)) % 129.99/130.29 (step @p161 :rule cong :premises (@p160) :args (@t263)) % 129.99/130.29 (step @p162 :rule cong :premises (@p122) :args (@t264)) % 129.99/130.29 (step @p163 :rule cong :premises (@p162) :args (@t265)) % 129.99/130.29 (step @p164 :rule nary_cong :premises (@p163 @p161) :args (@t266)) % 129.99/130.29 (step @p165 :rule aci_norm :args ((= (or @t265 @t263 false) @t266))) % 129.99/130.29 (step @p166 :rule evaluate :args ((not true))) % 129.99/130.29 (step @p167 :rule eq-refl :args (tptp.slcrc0)) % 129.99/130.29 (step @p168 :rule cong :premises (@p167) :args (@t267)) % 129.99/130.29 (step @p169 :rule trans :premises (@p168 @p166)) % 129.99/130.29 (step @p170 :rule refl :args (@t263)) % 129.99/130.29 (step @p171 :rule refl :args (@t265)) % 129.99/130.29 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t268)) % 129.99/130.29 (step @p173 :rule trans :premises (@p172 @p165)) % 129.99/130.29 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t3 @t271) @t268))) % 129.99/130.29 (step @p175 :rule aci_norm :args ((= @t272 @t271))) % 129.99/130.29 (step @p176 :rule cong :premises (@p175) :args ((forall @t3 @t272))) % 129.99/130.29 (step @p177 :rule trans :premises (@p176 @p174)) % 129.99/130.29 (step @p178 :rule trans :premises (@p177 @p173)) % 129.99/130.29 (step @p179 :rule aci_norm :args ((= (or (or @t270 @t269) @t19) @t272))) % 129.99/130.29 (step @p180 :rule refl :args (@t19)) % 129.99/130.29 (step @p181 :rule bool-and-de-morgan :args (@t2 @t16 true)) % 129.99/130.29 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or (not @t18) @t19))) % 129.99/130.29 (step @p183 :rule trans :premises (@p182 @p179)) % 129.99/130.29 (step @p184 :rule bool-impl-elim :args (@t18 @t19)) % 129.99/130.29 (step @p185 :rule trans :premises (@p184 @p183)) % 129.99/130.29 (step @p186 :rule cong :premises (@p185) :args (@t20)) % 129.99/130.29 (step @p187 :rule trans :premises (@p186 @p178)) % 129.99/130.29 (step @p188 :rule trans :premises (@p187 @p164)) % 129.99/130.29 (step @p189 :rule eq_resolve :premises (@p9 @p188)) % 129.99/130.29 (step @p190 :rule reordering :premises (@p189) :args ((or @t274 (not @t256)))) % 129.99/130.29 (step @p191 :rule chain_m_resolution :premises (@p190 @p159) :args (@t274 @t261 (@list @t256))) % 129.99/130.29 (step @p192 :rule refl :args (@t142)) % 129.99/130.29 (step @p193 :rule and_elim :premises (@p80) :args (1)) % 129.99/130.29 (step @p194 :rule symm :premises (@p193)) % 129.99/130.29 (step @p195 :rule refl :args (@t133)) % 129.99/130.29 (step @p196 :rule cong :premises (@p195 @p194) :args (@t143)) % 129.99/130.29 (step @p197 :rule refl :args (@t5)) % 129.99/130.29 (step @p198 :rule cong :premises (@p197 @p194) :args (@t53)) % 129.99/130.29 (step @p199 :rule refl :args (@t275)) % 129.99/130.29 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t276)) % 129.99/130.29 (step @p201 :rule cong :premises (@p200) :args (@t277)) % 129.99/130.29 (step @p202 :rule refl :args (@t145)) % 129.99/130.29 (step @p203 :rule nary_cong :premises (@p202 @p201 @p196 @p192) :args (@t278)) % 129.99/130.29 (step @p204 :rule cong :premises (@p123 @p194) :args (@t51)) % 129.99/130.29 (step @p205 :rule cong :premises (@p204) :args (@t279)) % 129.99/130.29 (step @p206 :rule nary_cong :premises (@p205 @p203) :args (@t280)) % 129.99/130.29 (step @p207 :rule cong :premises (@p206) :args ((forall @t3 @t280))) % 129.99/130.29 (step @p208 :rule bool-impl-elim :args (@t51 @t278)) % 129.99/130.29 (step @p209 :rule cong :premises (@p208) :args ((forall @t3 (=> @t51 @t278)))) % 129.99/130.29 (step @p210 :rule refl :args (@t143)) % 129.99/130.29 (step @p211 :rule bool-impl-elim :args (@t137 @t53)) % 129.99/130.29 (step @p212 :rule cong :premises (@p211) :args (@t144)) % 129.99/130.29 (step @p213 :rule nary_cong :premises (@p202 @p212 @p210 @p192) :args (@t148)) % 129.99/130.29 (step @p214 :rule refl :args (@t51)) % 129.99/130.29 (step @p215 :rule cong :premises (@p214 @p213) :args (@t149)) % 129.99/130.29 (step @p216 :rule cong :premises (@p215) :args (@t150)) % 129.99/130.29 (step @p217 :rule trans :premises (@p216 @p209)) % 129.99/130.29 (step @p218 :rule trans :premises (@p217 @p207)) % 129.99/130.29 (step @p219 :rule eq_resolve :premises (@p81 @p218)) % 129.99/130.29 (step @p220 :rule instantiate :premises (@p219) :args (@t281)) % 129.99/130.29 (step @p221 :rule refl :args (tptp.xm)) % 129.99/130.29 (step @p222 :rule cong :premises (@p221 @p194) :args (@t240)) % 129.99/130.29 (step @p223 :rule and_elim :premises (@p114) :args (0)) % 129.99/130.29 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 129.99/130.29 (step @p225 :rule cnf_or_pos :args (@t288)) % 129.99/130.29 (step @p226 :rule reordering :premises (@p225) :args ((or @t287 @t285 (not @t288)))) % 129.99/130.29 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p220) :args (@t285 @t289 (@list @t286 @t288))) % 129.99/130.29 (step @p228 :rule cnf_and_pos :args (@t285 3)) % 129.99/130.29 (step @p229 :rule reordering :premises (@p228) :args ((or @t282 (not @t285)))) % 129.99/130.29 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t282 @t261 (@list @t285))) % 129.99/130.29 (step @p231 :rule refl :args (@t290)) % 129.99/130.29 (step @p232 :rule cong :premises (@p198) :args (@t291)) % 129.99/130.29 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t292)) % 129.99/130.29 (step @p234 :rule cong :premises (@p233) :args (@t293)) % 129.99/130.29 (step @p235 :rule cong :premises (@p234) :args (@t294)) % 129.99/130.29 (step @p236 :rule refl :args (@t58)) % 129.99/130.29 (step @p237 :rule nary_cong :premises (@p205 @p236 @p235) :args (@t295)) % 129.99/130.29 (step @p238 :rule cong :premises (@p237) :args ((forall @t3 @t295))) % 129.99/130.29 (step @p239 :rule aci_norm :args ((= (or @t279 @t296) @t295))) % 129.99/130.29 (step @p240 :rule bool-impl-elim :args (@t51 @t296)) % 129.99/130.29 (step @p241 :rule trans :premises (@p240 @p239)) % 129.99/130.29 (step @p242 :rule cong :premises (@p241) :args ((forall @t3 (=> @t51 @t296)))) % 129.99/130.29 (step @p243 :rule bool-and-de-morgan :args (@t53 @t55 true)) % 129.99/130.29 (step @p244 :rule cong :premises (@p243) :args (@t297)) % 129.99/130.29 (step @p245 :rule cong :premises (@p244) :args (@t298)) % 129.99/130.29 (step @p246 :rule exists-elim :args ((= @t57 @t298))) % 129.99/130.29 (step @p247 :rule trans :premises (@p246 @p245)) % 129.99/130.29 (step @p248 :rule nary_cong :premises (@p236 @p247) :args (@t59)) % 129.99/130.29 (step @p249 :rule cong :premises (@p214 @p248) :args (@t60)) % 129.99/130.29 (step @p250 :rule cong :premises (@p249) :args (@t61)) % 129.99/130.29 (step @p251 :rule trans :premises (@p250 @p242)) % 129.99/130.29 (step @p252 :rule trans :premises (@p251 @p238)) % 129.99/130.29 (step @p253 :rule eq_resolve :premises (@p27 @p252)) % 129.99/130.29 (step @p254 :rule eq-symm :args (tptp.xm @t52)) % 129.99/130.29 (step @p255 :rule cong :premises (@p254) :args (@t299)) % 129.99/130.29 (step @p256 :rule refl :args (@t300)) % 129.99/130.29 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t301)) % 129.99/130.29 (step @p258 :rule cong :premises (@p257) :args (@t302)) % 129.99/130.29 (step @p259 :rule cong :premises (@p258) :args (@t303)) % 129.99/130.29 (step @p260 :rule eq-symm :args (tptp.xm tptp.sz00)) % 129.99/130.29 (step @p261 :rule refl :args (@t287)) % 129.99/130.29 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259) :args (@t304)) % 129.99/130.29 (step @p263 :rule refl :args (@t306)) % 129.99/130.29 (step @p264 :rule cong :premises (@p263 @p262) :args ((=> @t306 @t304))) % 129.99/130.29 (assume-push @p845 @t306) % 129.99/130.29 (step @p266 :rule instantiate :premises (@p253) :args (@t281)) % 129.99/130.29 (step-pop @p846 :rule scope :premises (@p266)) % 129.99/130.29 (step @p267 :rule process_scope :premises (@p846) :args (@t304)) % 129.99/130.29 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 129.99/130.29 (step @p270 :rule implies_elim :premises (@p269)) % 129.99/130.29 (step @p271 :rule chain_m_resolution :premises (@p270 @p253) :args (@t310 @t261 (@list @t306))) % 129.99/130.29 (step @p272 :rule and_elim :premises (@p114) :args (1)) % 129.99/130.29 (step @p273 :rule refl :args (@t228)) % 129.99/130.29 (step @p274 :rule cong :premises (@p273 @p272) :args (@t311)) % 129.99/130.29 (step @p275 :rule cong :premises (@p274) :args ((not @t311))) % 129.99/130.29 (step @p276 :rule eq-symm :args (tptp.xx @t228)) % 129.99/130.29 (step @p277 :rule cong :premises (@p276) :args (@t234)) % 129.99/130.29 (step @p278 :rule trans :premises (@p277 @p275)) % 129.99/130.29 (step @p279 :rule and_elim :premises (@p112) :args (2)) % 129.99/130.29 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 129.99/130.29 (step @p281 :rule refl :args (@t312)) % 129.99/130.29 (step @p282 :rule nary_cong :premises (@p205 @p281) :args (@t313)) % 129.99/130.29 (step @p283 :rule cong :premises (@p282) :args ((forall @t3 @t313))) % 129.99/130.29 (step @p284 :rule bool-impl-elim :args (@t51 @t312)) % 129.99/130.29 (step @p285 :rule cong :premises (@p284) :args ((forall @t3 (=> @t51 @t312)))) % 129.99/130.29 (step @p286 :rule eq-symm :args (@t197 @t134)) % 129.99/130.29 (step @p287 :rule bool-impl-elim :args (@t137 @t198)) % 129.99/130.29 (step @p288 :rule cong :premises (@p287) :args (@t199)) % 129.99/130.29 (step @p289 :rule refl :args (@t200)) % 129.99/130.29 (step @p290 :rule nary_cong :premises (@p289 @p288 @p286) :args (@t201)) % 129.99/130.29 (step @p291 :rule cong :premises (@p214 @p290) :args (@t202)) % 129.99/130.29 (step @p292 :rule cong :premises (@p291) :args (@t203)) % 129.99/130.29 (step @p293 :rule trans :premises (@p292 @p285)) % 129.99/130.29 (step @p294 :rule trans :premises (@p293 @p283)) % 129.99/130.29 (step @p295 :rule and_elim :premises (@p90) :args (2)) % 129.99/130.29 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 129.99/130.29 (step @p297 :rule instantiate :premises (@p296) :args ((@list tptp.sz00))) % 129.99/130.29 (step @p298 :rule refl :args (tptp.sz00)) % 129.99/130.29 (step @p299 :rule cong :premises (@p298 @p194) :args (@t49)) % 129.99/130.29 (step @p300 :rule eq_resolve :premises (@p24 @p299)) % 129.99/130.29 (step @p301 :rule cnf_or_pos :args (@t320)) % 129.99/130.29 (step @p302 :rule reordering :premises (@p301) :args ((or @t319 @t317 (not @t320)))) % 129.99/130.29 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p297) :args (@t317 @t289 (@list @t318 @t320))) % 129.99/130.29 (step @p304 :rule cnf_and_pos :args (@t317 2)) % 129.99/130.29 (step @p305 :rule reordering :premises (@p304) :args ((or @t316 (not 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129.99/130.29 (step @p742 :rule cong :premises (@p741 @p737) :args (@t250)) % 129.99/130.29 (step @p743 :rule cong :premises (@p742) :args (@t251)) % 129.99/130.29 (step @p744 :rule trans :premises (@p743 @p736)) % 129.99/130.29 (step @p745 :rule eq_resolve :premises (@p117 @p744)) % 129.99/130.29 (step @p746 :rule not_implies_elim1 :premises (@p745)) % 129.99/130.29 (step @p747 :rule and_elim :premises (@p746) :args (0)) % 129.99/130.29 (step @p748 :rule instantiate :premises (@p747) :args ((@list @t231))) % 129.99/130.29 (step @p749 :rule eq-symm :args (@t458 @t231)) % 129.99/130.29 (step @p750 :rule refl :args (@t459)) % 129.99/130.29 (step @p751 :rule refl :args (@t460)) % 129.99/130.29 (step @p752 :rule nary_cong :premises (@p751 @p750 @p749) :args (@t461)) % 129.99/130.29 (step @p753 :rule refl :args (@t463)) % 129.99/130.29 (step @p754 :rule nary_cong :premises (@p753 @p752) :args (@t464)) % 129.99/130.29 (step @p755 :rule cong :premises (@p592 @p754) :args ((=> @t403 @t464))) % 129.99/130.29 (assume-push @p901 @t403) % 129.99/130.29 (step @p757 :rule instantiate :premises (@p296) :args ((@list tptp.xn))) % 129.99/130.29 (step-pop @p902 :rule scope :premises (@p757)) % 129.99/130.29 (step @p758 :rule process_scope :premises (@p902) :args (@t464)) % 129.99/130.29 (step @p760 :rule eq_resolve :premises (@p758 @p755)) % 129.99/130.29 (step @p761 :rule implies_elim :premises (@p760)) % 129.99/130.29 (step @p762 :rule chain_m_resolution :premises (@p761 @p296) :args (@t466 @t261 @t408)) % 129.99/130.29 (step @p763 :rule refl :args (tptp.xn)) % 129.99/130.29 (step @p764 :rule cong :premises (@p763 @p194) :args (@t232)) % 129.99/130.29 (step @p765 :rule and_elim :premises (@p110) :args (3)) % 129.99/130.29 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 129.99/130.29 (step @p767 :rule cnf_or_pos :args (@t466)) % 129.99/130.29 (step @p768 :rule reordering :premises (@p767) :args ((or @t463 @t465 (not @t466)))) % 129.99/130.29 (step @p769 :rule chain_m_resolution :premises (@p768 @p766 @p762) :args (@t465 @t289 (@list @t462 @t466))) % 129.99/130.29 (step @p770 :rule cnf_and_pos :args (@t465 0)) % 129.99/130.29 (step @p771 :rule reordering :premises (@p770) :args ((or @t460 (not @t465)))) % 129.99/130.29 (step @p772 :rule chain_m_resolution :premises (@p771 @p769) :args (@t460 @t261 (@list @t465))) % 129.99/130.29 (step @p773 :rule cnf_or_pos :args (@t469)) % 129.99/130.29 (step @p774 :rule reordering :premises (@p773) :args ((or @t468 @t467 (not @t469)))) % 129.99/130.29 (step @p775 :rule chain_m_resolution :premises (@p774 @p772 @p748) :args (@t467 @t289 (@list @t460 @t469))) % 129.99/130.29 (step @p776 :rule true_intro :premises (@p775)) % 129.99/130.29 (step @p777 :rule symm :premises (@p711)) % 129.99/130.29 (step @p479 :rule refl :args (tptp.xN)) % 129.99/130.29 (step @p778 :rule cong :premises (@p479 @p777) :args (@t393)) % 129.99/130.29 (step @p779 :rule refl :args (@t231)) % 129.99/130.29 (step @p780 :rule cong :premises (@p401 @p779) :args ((= tptp.xp @t231))) % 129.99/130.29 (step @p781 :rule eq-symm :args (@t231 tptp.xp)) % 129.99/130.29 (step @p782 :rule trans :premises (@p781 @p780)) % 129.99/130.29 (step @p783 :rule and_elim :premises (@p110) :args (4)) % 129.99/130.29 (step @p784 :rule eq_resolve :premises (@p783 @p782)) % 129.99/130.29 (step @p785 :rule cong :premises (@p784 @p778) :args (@t446)) % 129.99/130.29 (step @p786 :rule trans :premises (@p785 @p776)) % 129.99/130.29 (step @p787 :rule true_elim :premises (@p786)) % 129.99/130.29 (step @p349 :rule true_intro :premises (@p342)) % 129.99/130.29 (step @p788 :rule cong :premises (@p728 @p339) :args (@t448)) % 129.99/130.29 (step @p789 :rule trans :premises (@p788 @p349)) % 129.99/130.29 (step @p790 :rule true_elim :premises (@p789)) % 129.99/130.29 (step @p791 :rule instantiate :premises (@p219) :args (@t404)) % 129.99/130.29 (step @p792 :rule cnf_or_pos :args (@t471)) % 129.99/130.29 (step @p793 :rule reordering :premises (@p792) :args ((or @t401 @t470 (not @t471)))) % 129.99/130.29 (step @p794 :rule chain_m_resolution :premises (@p793 @p672 @p791) :args (@t470 @t289 (@list @t400 @t471))) % 129.99/130.29 (step @p795 :rule cnf_and_pos :args (@t470 2)) % 129.99/130.29 (step @p796 :rule reordering :premises (@p795) :args ((or @t450 (not @t470)))) % 129.99/130.29 (step @p797 :rule chain_m_resolution :premises (@p796 @p794) :args (@t450 @t261 (@list @t470))) % 129.99/130.29 (step @p798 :rule cnf_or_pos :args (@t455)) % 129.99/130.29 (step @p799 :rule reordering :premises (@p798) :args ((or @t359 @t354 @t451 @t454 @t449 @t447 @t453 (not @t455)))) % 129.99/130.29 (step @p800 :rule chain_m_resolution :premises (@p799 @p387 @p390 @p797 @p790 @p787 @p731 @p725) :args (@t454 (@list true false false false false true false) (@list @t359 @t353 @t450 @t448 @t446 @t453 @t455))) % 129.99/130.29 (step @p801 :rule refl :args (@t472)) % 129.99/130.29 (step @p802 :rule refl :args (@t473)) % 129.99/130.29 (step @p803 :rule refl :args (@t370)) % 129.99/130.29 (step @p804 :rule nary_cong :premises (@p469 @p468 @p803 @p802 @p801) :args ((or @t364 @t363 @t370 @t473 @t472))) % 129.99/130.29 (assume-push @p903 @t274) % 129.99/130.29 (assume-push @p904 @t454) % 129.99/130.29 (assume-push @p905 @t444) % 129.99/130.29 (assume-push @p906 @t369) % 129.99/130.29 (assume-push @p907 @t282) % 129.99/130.29 (step @p475 :rule evaluate :args (@t365)) % 129.99/130.29 (step @p476 :rule false_intro :premises (@p191)) % 129.99/130.29 (step @p810 :rule symm :premises (@p800)) % 129.99/130.29 (step @p811 :rule cong :premises (@p479 @p711) :args (@t241)) % 129.99/130.29 (step @p812 :rule symm :premises (@p906)) % 129.99/130.29 (step @p813 :rule cong :premises (@p479 @p812) :args (@t474)) % 129.99/130.29 (step @p814 :rule trans :premises (@p813 @p811 @p810)) % 129.99/130.29 (step @p815 :rule cong :premises (@p814) :args ((tptp.isCountable0 @t474))) % 129.99/130.29 (step @p816 :rule symm :premises (@p813)) % 129.99/130.29 (step @p817 :rule cong :premises (@p816) :args (@t282)) % 129.99/130.29 (step @p483 :rule true_intro :premises (@p230)) % 129.99/130.29 (step @p484 :rule symm :premises (@p483)) % 129.99/130.29 (step @p818 :rule trans :premises (@p484 @p817 @p815 @p476)) % 129.99/130.29 (step @p819 false :rule eq_resolve :premises (@p818 @p475)) % 129.99/130.29 (step-pop @p908 :rule scope :premises (@p819)) % 129.99/130.29 (step-pop @p909 :rule scope :premises (@p908)) % 129.99/130.29 (step-pop @p910 :rule scope :premises (@p909)) % 129.99/130.29 (step-pop @p911 :rule scope :premises (@p910)) % 129.99/130.29 (step-pop @p912 :rule scope :premises (@p911)) % 129.99/130.29 (step @p820 :rule process_scope :premises (@p912) :args (false)) % 129.99/130.29 (assume-push @p913 @t274) % 129.99/130.29 (assume-push @p914 @t282) % 129.99/130.29 (assume-push @p915 @t369) % 129.99/130.29 (assume-push @p916 @t444) % 129.99/130.29 (assume-push @p917 @t454) % 129.99/130.29 (step @p831 :rule and_intro :premises (@p191 @p800 @p711 @p915 @p230)) % 129.99/130.29 (step-pop @p918 :rule scope :premises (@p831)) % 129.99/130.29 (step-pop @p919 :rule scope :premises (@p918)) % 129.99/130.29 (step-pop @p920 :rule scope :premises (@p919)) % 129.99/130.29 (step-pop @p921 :rule scope :premises (@p920)) % 129.99/130.29 (step-pop @p922 :rule scope :premises (@p921)) % 129.99/130.29 (step @p832 :rule process_scope :premises (@p922) :args (@t475)) % 129.99/130.29 (step @p838 :rule implies_elim :premises (@p832)) % 129.99/130.29 (step @p839 :rule resolution :premises (@p838 @p820) :args (true @t475)) % 129.99/130.29 (step @p840 :rule not_and :premises (@p839)) % 129.99/130.29 (step @p841 :rule eq_resolve :premises (@p840 @p804)) % 129.99/130.29 (step @p842 false :rule chain_m_resolution :premises (@p841 @p800 @p711 @p534 @p230 @p191) :args (false (@list false false false false true) (@list @t454 @t444 @t369 @t282 @t273))) % 126.99/130.30 ) % 126.99/130.30 % SZS output end Proof % 126.99/130.31 % cvc5 exiting %------------------------------------------------------------------------------