%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM598+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:57 AM UTC 2026 % Result : Theorem 39.73s 40.02s % Output : Proof 39.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM598+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:35:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 39.73/40.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 39.73/40.02 --- Run --no-e-matching --full-saturate-quant at 6... % 39.73/40.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 39.73/40.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 39.73/40.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 39.73/40.02 % SZS status Theorem % 39.73/40.02 % SZS output start Proof % 39.73/40.02 ( % 39.73/40.02 (declare-sort $$unsorted 0) % 39.73/40.02 (declare-const tptp.xN $$unsorted) % 39.73/40.02 (declare-const tptp.sz00 $$unsorted) % 39.73/40.02 (declare-const tptp.xC $$unsorted) % 39.73/40.02 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.szNzAzT0 $$unsorted) % 39.73/40.02 (declare-const tptp.xk $$unsorted) % 39.73/40.02 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.xd $$unsorted) % 39.73/40.02 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.xO $$unsorted) % 39.73/40.02 (declare-const tptp.xe $$unsorted) % 39.73/40.02 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 39.73/40.02 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.xK $$unsorted) % 39.73/40.02 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.xT $$unsorted) % 39.73/40.02 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.xS $$unsorted) % 39.73/40.02 (declare-const tptp.xc $$unsorted) % 39.73/40.02 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.slcrc0 $$unsorted) % 39.73/40.02 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 39.73/40.02 (define @t1 () (@var "W0" $$unsorted)) % 39.73/40.02 (define @t2 () (tptp.aSet0 @t1)) % 39.73/40.02 (define @t3 () (@list @t1)) % 39.73/40.02 (define @t4 () (tptp.aElement0 @t1)) % 39.73/40.02 (define @t5 () (@var "W1" $$unsorted)) % 39.73/40.02 (define @t6 () (tptp.aElement0 @t5)) % 39.73/40.02 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 39.73/40.02 (define @t8 () (@list @t5)) % 39.73/40.02 (define @t9 () (forall @t8 (=> @t7 @t6))) % 39.73/40.02 (define @t10 () (=> @t2 @t9)) % 39.73/40.02 (define @t11 () (forall @t3 @t10)) % 39.73/40.02 (define @t12 () (tptp.isFinite0 @t1)) % 39.73/40.02 (define @t13 () (= @t1 tptp.slcrc0)) % 39.73/40.02 (define @t14 () (tptp.isCountable0 @t1)) % 39.73/40.02 (define @t15 () (not @t12)) % 39.73/40.02 (define @t16 () (and @t2 @t14)) % 39.73/40.02 (define @t17 () (not @t13)) % 39.73/40.02 (define @t18 () (@var "W2" $$unsorted)) % 39.73/40.02 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 39.73/40.02 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 39.73/40.02 (define @t21 () (@list @t18)) % 39.73/40.02 (define @t22 () (tptp.aSet0 @t5)) % 39.73/40.02 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 39.73/40.02 (define @t24 () (tptp.isFinite0 @t5)) % 39.73/40.02 (define @t25 () (forall @t8 (=> @t23 @t24))) % 39.73/40.02 (define @t26 () (and @t2 @t12)) % 39.73/40.02 (define @t27 () (=> @t26 @t25)) % 39.73/40.02 (define @t28 () (forall @t3 @t27)) % 39.73/40.02 (define @t29 () (= @t1 @t5)) % 39.73/40.02 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 39.73/40.02 (define @t31 () (@list @t1 @t5)) % 39.73/40.02 (define @t32 () (tptp.aSubsetOf0 @t5 @t18)) % 39.73/40.02 (define @t33 () (tptp.aSet0 @t18)) % 39.73/40.02 (define @t34 () (@list @t1 @t5 @t18)) % 39.73/40.02 (define @t35 () (@var "W3" $$unsorted)) % 39.73/40.02 (define @t36 () (= @t35 @t5)) % 39.73/40.02 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 39.73/40.02 (define @t38 () (tptp.aElement0 @t35)) % 39.73/40.02 (define @t39 () (tptp.aElementOf0 @t35 @t18)) % 39.73/40.02 (define @t40 () (@list @t35)) % 39.73/40.02 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 39.73/40.02 (define @t42 () (and @t2 @t6)) % 39.73/40.02 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 39.73/40.02 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 39.73/40.02 (define @t45 () (tptp.isCountable0 @t5)) % 39.73/40.02 (define @t46 () (and @t22 @t45)) % 39.73/40.02 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 39.73/40.02 (define @t48 () (and @t22 @t24)) % 39.73/40.02 (define @t49 () (tptp.isCountable0 tptp.szNzAzT0)) % 39.73/40.02 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 39.73/40.02 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 39.73/40.02 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 39.73/40.02 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 39.73/40.02 (define @t54 () (and @t51 @t53)) % 39.73/40.02 (define @t55 () (= @t1 tptp.sz00)) % 39.73/40.02 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 39.73/40.02 (define @t57 () (tptp.sdtlseqdt0 @t5 @t1)) % 39.73/40.02 (define @t58 () (tptp.sdtlseqdt0 @t5 @t18)) % 39.73/40.02 (define @t59 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 39.73/40.02 (define @t60 () (tptp.sbrdtbr0 @t1)) % 39.73/40.02 (define @t61 () (not @t7)) % 39.73/40.02 (define @t62 () (tptp.sbrdtbr0 @t5)) % 39.73/40.02 (define @t63 () (tptp.sbrdtbr0 @t18)) % 39.73/40.02 (define @t64 () (and @t2 @t53)) % 39.73/40.02 (define @t65 () (tptp.szmzizndt0 @t1)) % 39.73/40.02 (define @t66 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 39.73/40.02 (define @t67 () (tptp.szmzizndt0 @t5)) % 39.73/40.02 (define @t68 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 39.73/40.02 (define @t69 () (tptp.slbdtrb0 @t1)) % 39.73/40.02 (define @t70 () (tptp.slbdtrb0 @t5)) % 39.73/40.02 (define @t71 () (tptp.sbrdtbr0 @t35)) % 39.73/40.02 (define @t72 () (tptp.aSubsetOf0 @t35 @t1)) % 39.73/40.02 (define @t73 () (tptp.slbdtsldtrb0 @t1 @t5)) % 39.73/40.02 (define @t74 () (tptp.slbdtsldtrb0 @t5 @t1)) % 39.73/40.02 (define @t75 () (tptp.aFunction0 @t1)) % 39.73/40.02 (define @t76 () (tptp.szDzozmdt0 @t1)) % 39.73/40.02 (define @t77 () (tptp.sdtlpdtrp0 @t1 @t5)) % 39.73/40.02 (define @t78 () (tptp.aElementOf0 @t5 @t76)) % 39.73/40.02 (define @t79 () (tptp.sdtlpdtrp0 @t1 @t35)) % 39.73/40.02 (define @t80 () (tptp.aElementOf0 @t35 @t76)) % 39.73/40.02 (define @t81 () (tptp.sdtlbdtrb0 @t1 @t5)) % 39.73/40.02 (define @t82 () (and @t75 @t6)) % 39.73/40.02 (define @t83 () (tptp.aSubsetOf0 @t81 @t76)) % 39.73/40.02 (define @t84 () (forall @t31 (=> @t82 @t83))) % 39.73/40.02 (define @t85 () (@var "W4" $$unsorted)) % 39.73/40.02 (define @t86 () (tptp.aElementOf0 @t85 @t5)) % 39.73/40.02 (define @t87 () (@list @t85)) % 39.73/40.02 (define @t88 () (tptp.sdtlcdtrc0 @t1 @t5)) % 39.73/40.02 (define @t89 () (tptp.aSubsetOf0 @t5 @t76)) % 39.73/40.02 (define @t90 () (tptp.sdtlcdtrc0 @t1 @t76)) % 39.73/40.02 (define @t91 () (tptp.aElementOf0 @t35 @t5)) % 39.73/40.02 (define @t92 () (tptp.szDzozmdt0 @t18)) % 39.73/40.02 (define @t93 () (tptp.aFunction0 @t18)) % 39.73/40.02 (define @t94 () (tptp.isCountable0 @t88)) % 39.73/40.02 (define @t95 () (tptp.sdtlpdtrp0 @t1 @t18)) % 39.73/40.02 (define @t96 () (not (= @t95 @t79))) % 39.73/40.02 (define @t97 () (= @t18 @t35)) % 39.73/40.02 (define @t98 () (not @t97)) % 39.73/40.02 (define @t99 () (tptp.aElementOf0 @t18 @t76)) % 39.73/40.02 (define @t100 () (and @t99 @t80 @t98)) % 39.73/40.02 (define @t101 () (=> @t100 @t96)) % 39.73/40.02 (define @t102 () (@list @t18 @t35)) % 39.73/40.02 (define @t103 () (forall @t102 @t101)) % 39.73/40.02 (define @t104 () (=> @t103 @t94)) % 39.73/40.02 (define @t105 () (and @t89 @t45)) % 39.73/40.02 (define @t106 () (=> @t105 @t104)) % 39.73/40.02 (define @t107 () (forall @t8 @t106)) % 39.73/40.02 (define @t108 () (=> @t75 @t107)) % 39.73/40.02 (define @t109 () (forall @t3 @t108)) % 39.73/40.02 (define @t110 () (tptp.szDzizrdt0 @t1)) % 39.73/40.02 (define @t111 () (and (tptp.aElement0 @t110) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t110)))) % 39.73/40.02 (define @t112 () (tptp.isFinite0 @t90)) % 39.73/40.02 (define @t113 () (tptp.isCountable0 @t76)) % 39.73/40.02 (define @t114 () (and @t113 @t112)) % 39.73/40.02 (define @t115 () (=> @t114 @t111)) % 39.73/40.02 (define @t116 () (forall @t3 (=> @t75 @t115))) % 39.73/40.02 (define @t117 () (tptp.isFinite0 tptp.xT)) % 39.73/40.02 (define @t118 () (tptp.aSet0 tptp.xT)) % 39.73/40.02 (define @t119 () (tptp.szDzozmdt0 tptp.xc)) % 39.73/40.02 (define @t120 () (tptp.sdtlcdtrc0 tptp.xc @t119)) % 39.73/40.02 (define @t121 () (tptp.aElementOf0 @t1 tptp.xT)) % 39.73/40.02 (define @t122 () (tptp.aElementOf0 @t1 @t120)) % 39.73/40.02 (define @t123 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 39.73/40.02 (define @t124 () (tptp.aElementOf0 @t1 @t119)) % 39.73/40.02 (define @t125 () (= @t60 tptp.xK)) % 39.73/40.02 (define @t126 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 39.73/40.02 (define @t127 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 39.73/40.02 (define @t128 () (@var "W5" $$unsorted)) % 39.73/40.02 (define @t129 () (@var "W6" $$unsorted)) % 39.73/40.02 (define @t130 () (@list @t128)) % 39.73/40.02 (define @t131 () (tptp.aElementOf0 @t35 tptp.xT)) % 39.73/40.02 (define @t132 () (tptp.sdtlcdtrc0 @t18 @t92)) % 39.73/40.02 (define @t133 () (tptp.aElementOf0 @t35 @t132)) % 39.73/40.02 (define @t134 () (tptp.aElementOf0 @t35 @t92)) % 39.73/40.02 (define @t135 () (= @t71 @t1)) % 39.73/40.02 (define @t136 () (tptp.aSubsetOf0 @t35 @t5)) % 39.73/40.02 (define @t137 () (tptp.aElementOf0 @t85 @t35)) % 39.73/40.02 (define @t138 () (forall @t87 (=> @t137 @t86))) % 39.73/40.02 (define @t139 () (tptp.aSet0 @t35)) % 39.73/40.02 (define @t140 () (tptp.sdtlpdtrp0 tptp.xN @t50)) % 39.73/40.02 (define @t141 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 39.73/40.02 (define @t142 () (tptp.szmzizndt0 @t141)) % 39.73/40.02 (define @t143 () (tptp.sdtmndt0 @t141 @t142)) % 39.73/40.02 (define @t144 () (tptp.aElementOf0 @t5 @t143)) % 39.73/40.02 (define @t145 () (tptp.aElementOf0 @t5 @t141)) % 39.73/40.02 (define @t146 () (forall @t8 (= @t144 (and @t6 @t145 (not (= @t5 @t142)))))) % 39.73/40.02 (define @t147 () (tptp.aSet0 @t143)) % 39.73/40.02 (define @t148 () (forall @t8 (=> @t145 (tptp.sdtlseqdt0 @t142 @t5)))) % 39.73/40.02 (define @t149 () (tptp.aElementOf0 @t142 @t141)) % 39.73/40.02 (define @t150 () (tptp.isCountable0 @t141)) % 39.73/40.02 (define @t151 () (tptp.aSubsetOf0 @t141 tptp.szNzAzT0)) % 39.73/40.02 (define @t152 () (forall @t8 (=> @t145 @t53))) % 39.73/40.02 (define @t153 () (tptp.aSet0 @t141)) % 39.73/40.02 (define @t154 () (tptp.szDzozmdt0 tptp.xN)) % 39.73/40.02 (define @t155 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 39.73/40.02 (define @t156 () (tptp.aElementOf0 @t18 @t155)) % 39.73/40.02 (define @t157 () (tptp.aElementOf0 @t18 @t141)) % 39.73/40.02 (define @t158 () (= @t142 (tptp.szmzizndt0 @t155))) % 39.73/40.02 (define @t159 () (tptp.sdtlseqdt0 @t142 @t18)) % 39.73/40.02 (define @t160 () (forall @t21 (=> @t156 @t159))) % 39.73/40.02 (define @t161 () (tptp.aElementOf0 @t142 @t155)) % 39.73/40.02 (define @t162 () (and @t161 @t160)) % 39.73/40.02 (define @t163 () (or @t162 @t158)) % 39.73/40.02 (define @t164 () (forall @t21 (=> @t157 @t159))) % 39.73/40.02 (define @t165 () (and @t149 @t164)) % 39.73/40.02 (define @t166 () (=> @t165 @t163)) % 39.73/40.02 (define @t167 () (not @t166)) % 39.73/40.02 (define @t168 () (not @t29)) % 39.73/40.02 (define @t169 () (and @t51 @t53 @t168)) % 39.73/40.02 (define @t170 () (=> @t169 @t167)) % 39.73/40.02 (define @t171 () (forall @t31 @t170)) % 39.73/40.02 (define @t172 () (tptp.sdtpldt0 @t5 @t142)) % 39.73/40.02 (define @t173 () (tptp.aElementOf0 @t18 @t172)) % 39.73/40.02 (define @t174 () (= @t18 @t142)) % 39.73/40.02 (define @t175 () (tptp.aElement0 @t18)) % 39.73/40.02 (define @t176 () (forall @t21 (= @t173 (and @t175 (or @t20 @t174))))) % 39.73/40.02 (define @t177 () (tptp.slbdtsldtrb0 @t143 tptp.xk)) % 39.73/40.02 (define @t178 () (= @t62 tptp.xk)) % 39.73/40.02 (define @t179 () (tptp.aSubsetOf0 @t5 @t143)) % 39.73/40.02 (define @t180 () (tptp.aElementOf0 @t18 @t143)) % 39.73/40.02 (define @t181 () (forall @t21 (=> @t20 @t180))) % 39.73/40.02 (define @t182 () (and @t147 (forall @t21 (= @t180 (and @t175 @t157 (not @t174)))))) % 39.73/40.02 (define @t183 () (and @t22 (=> @t165 (=> @t182 (or (and (or @t181 @t179) @t178) (tptp.aElementOf0 @t5 @t177)))))) % 39.73/40.02 (define @t184 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 39.73/40.02 (define @t185 () (tptp.sdtlpdtrp0 @t184 @t5)) % 39.73/40.02 (define @t186 () (tptp.szDzozmdt0 @t184)) % 39.73/40.02 (define @t187 () (tptp.aElementOf0 @t5 @t186)) % 39.73/40.02 (define @t188 () (or (and @t22 @t181) @t179)) % 39.73/40.02 (define @t189 () (tptp.sdtlcdtrc0 @t184 @t186)) % 39.73/40.02 (define @t190 () (tptp.aElementOf0 @t5 tptp.xT)) % 39.73/40.02 (define @t191 () (tptp.aElementOf0 @t5 @t189)) % 39.73/40.02 (define @t192 () (= (tptp.sdtlpdtrp0 @t184 @t18) @t5)) % 39.73/40.02 (define @t193 () (tptp.aSubsetOf0 @t18 @t143)) % 39.73/40.02 (define @t194 () (tptp.aElementOf0 @t35 @t143)) % 39.73/40.02 (define @t195 () (forall @t40 (=> @t39 @t194))) % 39.73/40.02 (define @t196 () (tptp.aElementOf0 @t35 @t141)) % 39.73/40.02 (define @t197 () (forall @t40 (= @t194 (and @t38 @t196 (not (= @t35 @t142)))))) % 39.73/40.02 (define @t198 () (forall @t40 (=> @t196 (tptp.sdtlseqdt0 @t142 @t35)))) % 39.73/40.02 (define @t199 () (= @t63 tptp.xk)) % 39.73/40.02 (define @t200 () (tptp.slbdtsldtrb0 @t140 tptp.xk)) % 39.73/40.02 (define @t201 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 39.73/40.02 (define @t202 () (tptp.sdtlseqdt0 @t201 @t5)) % 39.73/40.02 (define @t203 () (forall @t8 (=> @t145 @t202))) % 39.73/40.02 (define @t204 () (tptp.aElementOf0 @t201 @t141)) % 39.73/40.02 (define @t205 () (and @t204 @t203 (= @t201 @t142))) % 39.73/40.02 (define @t206 () (=> @t51 @t205)) % 39.73/40.02 (define @t207 () (forall @t3 @t206)) % 39.73/40.02 (define @t208 () (tptp.szDzozmdt0 tptp.xe)) % 39.73/40.02 (define @t209 () (tptp.aFunction0 tptp.xe)) % 39.73/40.02 (define @t210 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 39.73/40.02 (define @t211 () (tptp.szDzozmdt0 tptp.xd)) % 39.73/40.02 (define @t212 () (tptp.aFunction0 tptp.xd)) % 39.73/40.02 (define @t213 () (tptp.sdtlcdtrc0 tptp.xd @t211)) % 39.73/40.02 (define @t214 () (tptp.aSubsetOf0 @t213 tptp.xT)) % 39.73/40.02 (define @t215 () (tptp.aElementOf0 @t1 @t213)) % 39.73/40.02 (define @t216 () (tptp.szDzizrdt0 tptp.xd)) % 39.73/40.02 (define @t217 () (tptp.sdtlbdtrb0 tptp.xd @t216)) % 39.73/40.02 (define @t218 () (forall @t3 (= (tptp.aElementOf0 @t1 @t217) (and (tptp.aElementOf0 @t1 @t211) (= @t210 @t216))))) % 39.73/40.02 (define @t219 () (tptp.aSet0 @t217)) % 39.73/40.02 (define @t220 () (tptp.aElementOf0 @t216 tptp.xT)) % 39.73/40.02 (define @t221 () (tptp.sdtlcdtrc0 tptp.xe @t217)) % 39.73/40.02 (define @t222 () (tptp.isCountable0 tptp.xO)) % 39.73/40.02 (define @t223 () (not @t222)) % 39.73/40.02 (define @t224 () (not @t158)) % 39.73/40.02 (define @t225 () (forall @t21 (or (not @t156) @t159))) % 39.73/40.02 (define @t226 () (or (not @t161) (not @t225))) % 39.73/40.02 (define @t227 () (@var "BOUND_VARIABLE_10100" $$unsorted)) % 39.73/40.02 (define @t228 () (or (not (tptp.aElementOf0 @t227 @t141)) (tptp.sdtlseqdt0 @t142 @t227))) % 39.73/40.02 (define @t229 () (and @t149 @t228 @t226 @t224)) % 39.73/40.02 (define @t230 () (not @t53)) % 39.73/40.02 (define @t231 () (not @t51)) % 39.73/40.02 (define @t232 () (or @t231 @t230 @t29 @t229)) % 39.73/40.02 (define @t233 () (forall (@list @t1 @t5 @t227) @t232)) % 39.73/40.02 (define @t234 () (@list @t227)) % 39.73/40.02 (define @t235 () (forall @t234 @t232)) % 39.73/40.02 (define @t236 () (forall @t234 @t224)) % 39.73/40.02 (define @t237 () (forall @t234 @t226)) % 39.73/40.02 (define @t238 () (forall @t234 @t228)) % 39.73/40.02 (define @t239 () (forall @t234 @t149)) % 39.73/40.02 (define @t240 () (and @t239 @t238 @t237 @t236)) % 39.73/40.02 (define @t241 () (forall @t234 @t229)) % 39.73/40.02 (define @t242 () (or @t231 @t230 @t29 @t241)) % 39.73/40.02 (define @t243 () (forall @t21 (or (not @t157) @t159))) % 39.73/40.02 (define @t244 () (and @t149 @t243 @t226 @t224)) % 39.73/40.02 (define @t245 () (or @t231 @t230 @t29 @t244)) % 39.73/40.02 (define @t246 () (and @t149 @t243)) % 39.73/40.02 (define @t247 () (and @t161 @t225)) % 39.73/40.02 (define @t248 () (or @t247 @t158)) % 39.73/40.02 (define @t249 () (not @t168)) % 39.73/40.02 (define @t250 () (or @t231 @t230 @t249)) % 39.73/40.02 (define @t251 () (not (=> @t246 @t248))) % 39.73/40.02 (define @t252 () (forall @t102 (or (not (tptp.aElementOf0 @t18 @t208)) (not (tptp.aElementOf0 @t35 @t208)) @t97 (not (= (tptp.sdtlpdtrp0 tptp.xe @t35) (tptp.sdtlpdtrp0 tptp.xe @t18)))))) % 39.73/40.02 (define @t253 () (@quantifiers_skolemize @t252 1)) % 39.73/40.02 (define @t254 () (@quantifiers_skolemize @t252 0)) % 39.73/40.02 (define @t255 () (@var "BOUND_VARIABLE_9437" $$unsorted)) % 39.73/40.02 (define @t256 () (tptp.isCountable0 (tptp.sdtlcdtrc0 @t1 @t255))) % 39.73/40.02 (define @t257 () (not (tptp.isCountable0 @t255))) % 39.73/40.02 (define @t258 () (not (tptp.aSubsetOf0 @t255 @t76))) % 39.73/40.02 (define @t259 () (not (= @t79 @t95))) % 39.73/40.02 (define @t260 () (not @t80)) % 39.73/40.02 (define @t261 () (not @t99)) % 39.73/40.02 (define @t262 () (or @t261 @t260 @t97 @t259)) % 39.73/40.02 (define @t263 () (forall @t102 @t262)) % 39.73/40.02 (define @t264 () (not @t263)) % 39.73/40.02 (define @t265 () (not @t75)) % 39.73/40.02 (define @t266 () (or @t258 @t257 @t256)) % 39.73/40.02 (define @t267 () (or @t265 @t264 @t266)) % 39.73/40.02 (define @t268 () (forall (@list @t1 @t255) @t267)) % 39.73/40.02 (define @t269 () (@list @t255)) % 39.73/40.02 (define @t270 () (forall @t269 @t267)) % 39.73/40.02 (define @t271 () (forall @t269 @t266)) % 39.73/40.02 (define @t272 () (@list @t5)) % 39.73/40.02 (define @t273 () (or @t265 @t264 @t271)) % 39.73/40.02 (define @t274 () (not @t45)) % 39.73/40.02 (define @t275 () (not @t89)) % 39.73/40.02 (define @t276 () (or @t275 @t274 @t94)) % 39.73/40.02 (define @t277 () (forall @t8 @t276)) % 39.73/40.02 (define @t278 () (or @t265 @t264 @t277)) % 39.73/40.02 (define @t279 () (or @t264 @t277)) % 39.73/40.02 (define @t280 () (or @t264 @t276)) % 39.73/40.02 (define @t281 () (or @t275 @t274 @t264 @t94)) % 39.73/40.02 (define @t282 () (=> @t263 @t94)) % 39.73/40.02 (define @t283 () (not @t98)) % 39.73/40.02 (define @t284 () (or @t261 @t260 @t283)) % 39.73/40.02 (define @t285 () (not @t6)) % 39.73/40.02 (define @t286 () (@var "BOUND_VARIABLE_8395" $$unsorted)) % 39.73/40.02 (define @t287 () (tptp.aElement0 @t286)) % 39.73/40.02 (define @t288 () (not (tptp.aElementOf0 @t286 @t1))) % 39.73/40.02 (define @t289 () (not @t2)) % 39.73/40.02 (define @t290 () (or @t288 @t287)) % 39.73/40.02 (define @t291 () (or @t289 @t290)) % 39.73/40.02 (define @t292 () (forall (@list @t1 @t286) @t291)) % 39.73/40.02 (define @t293 () (@list @t286)) % 39.73/40.02 (define @t294 () (forall @t293 @t291)) % 39.73/40.02 (define @t295 () (forall @t293 @t290)) % 39.73/40.02 (define @t296 () (or @t289 @t295)) % 39.73/40.02 (define @t297 () (forall @t8 (or @t61 @t6))) % 39.73/40.02 (define @t298 () (tptp.aElement0 @t216)) % 39.73/40.02 (define @t299 () (not @t220)) % 39.73/40.02 (define @t300 () (not @t118)) % 39.73/40.02 (define @t301 () (or @t300 @t299 @t298)) % 39.73/40.02 (define @t302 () (@list false false false)) % 39.73/40.02 (define @t303 () (tptp.aSubsetOf0 @t217 @t211)) % 39.73/40.02 (define @t304 () (not @t298)) % 39.73/40.02 (define @t305 () (not @t212)) % 39.73/40.02 (define @t306 () (or @t305 @t304 @t303)) % 39.73/40.02 (define @t307 () (tptp.aSubsetOf0 @t217 @t208)) % 39.73/40.02 (define @t308 () (not @t112)) % 39.73/40.02 (define @t309 () (not @t113)) % 39.73/40.02 (define @t310 () (or @t309 @t308 @t111)) % 39.73/40.02 (define @t311 () (tptp.isCountable0 @t211)) % 39.73/40.02 (define @t312 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 39.73/40.02 (define @t313 () (tptp.isFinite0 @t312)) % 39.73/40.02 (define @t314 () (not (tptp.aSubsetOf0 @t312 @t1))) % 39.73/40.02 (define @t315 () (or @t314 @t313)) % 39.73/40.02 (define @t316 () (or @t289 @t15 @t315)) % 39.73/40.02 (define @t317 () (forall (@list @t1 @t312) @t316)) % 39.73/40.02 (define @t318 () (@list @t312)) % 39.73/40.02 (define @t319 () (forall @t318 @t316)) % 39.73/40.02 (define @t320 () (forall @t318 @t315)) % 39.73/40.02 (define @t321 () (or @t289 @t15 @t320)) % 39.73/40.02 (define @t322 () (forall @t8 (or (not @t23) @t24))) % 39.73/40.02 (define @t323 () (or @t289 @t15 @t322)) % 39.73/40.02 (define @t324 () (tptp.isFinite0 @t213)) % 39.73/40.02 (define @t325 () (not @t214)) % 39.73/40.02 (define @t326 () (not @t117)) % 39.73/40.02 (define @t327 () (or @t300 @t326 @t325 @t324)) % 39.73/40.02 (define @t328 () (@list false false false false)) % 39.73/40.02 (define @t329 () (tptp.isCountable0 @t217)) % 39.73/40.02 (define @t330 () (and @t298 @t329)) % 39.73/40.02 (define @t331 () (not @t324)) % 39.73/40.02 (define @t332 () (not @t311)) % 39.73/40.02 (define @t333 () (or @t305 @t332 @t331 @t330)) % 39.73/40.02 (define @t334 () (@list false)) % 39.73/40.02 (define @t335 () (tptp.isCountable0 @t221)) % 39.73/40.02 (define @t336 () (not @t329)) % 39.73/40.02 (define @t337 () (not @t307)) % 39.73/40.02 (define @t338 () (not @t252)) % 39.73/40.02 (define @t339 () (not @t209)) % 39.73/40.02 (define @t340 () (or @t339 @t338 @t337 @t336 @t335)) % 39.73/40.02 (define @t341 () (tptp.aElementOf0 @t253 @t208)) % 39.73/40.02 (define @t342 () (tptp.sdtlpdtrp0 tptp.xe @t254)) % 39.73/40.02 (define @t343 () (tptp.sdtlpdtrp0 tptp.xe @t253)) % 39.73/40.02 (define @t344 () (= @t343 @t342)) % 39.73/40.02 (define @t345 () (not @t344)) % 39.73/40.02 (define @t346 () (= @t254 @t253)) % 39.73/40.02 (define @t347 () (not @t341)) % 39.73/40.02 (define @t348 () (tptp.aElementOf0 @t254 @t208)) % 39.73/40.02 (define @t349 () (not @t348)) % 39.73/40.02 (define @t350 () (or @t349 @t347 @t346 @t345)) % 39.73/40.02 (define @t351 () (@list true)) % 39.73/40.02 (define @t352 () (@list @t350)) % 39.73/40.02 (define @t353 () (tptp.aElementOf0 @t253 @t154)) % 39.73/40.02 (define @t354 () (tptp.aElementOf0 @t254 @t154)) % 39.73/40.02 (define @t355 () (tptp.sdtlpdtrp0 tptp.xN @t253)) % 39.73/40.02 (define @t356 () (tptp.szmzizndt0 @t355)) % 39.73/40.02 (define @t357 () (tptp.sdtlpdtrp0 tptp.xN @t254)) % 39.73/40.02 (define @t358 () (tptp.szmzizndt0 @t357)) % 39.73/40.02 (define @t359 () (not (= @t358 @t356))) % 39.73/40.02 (define @t360 () (not (tptp.aElementOf0 tptp.sz00 @t357))) % 39.73/40.02 (define @t361 () (and (tptp.aElementOf0 @t358 @t357) (or @t360 (tptp.sdtlseqdt0 @t358 tptp.sz00)) (or (not (tptp.aElementOf0 @t358 @t355)) (not (forall @t21 (or (not (tptp.aElementOf0 @t18 @t355)) (tptp.sdtlseqdt0 @t358 @t18))))) @t359)) % 39.73/40.02 (define @t362 () (not @t353)) % 39.73/40.02 (define @t363 () (not @t354)) % 39.73/40.02 (define @t364 () (or @t363 @t362 @t346 @t361)) % 39.73/40.02 (define @t365 () (= @t142 @t201)) % 39.73/40.02 (define @t366 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 39.73/40.02 (define @t367 () (or (not (tptp.aElementOf0 @t366 @t141)) (tptp.sdtlseqdt0 @t201 @t366))) % 39.73/40.02 (define @t368 () (and @t204 @t367 @t365)) % 39.73/40.02 (define @t369 () (or @t231 @t368)) % 39.73/40.02 (define @t370 () (@list @t1 @t366)) % 39.73/40.02 (define @t371 () (forall @t370 @t369)) % 39.73/40.02 (define @t372 () (@list @t366)) % 39.73/40.02 (define @t373 () (forall @t372 @t369)) % 39.73/40.02 (define @t374 () (forall @t372 @t365)) % 39.73/40.02 (define @t375 () (forall @t372 @t367)) % 39.73/40.02 (define @t376 () (forall @t372 @t204)) % 39.73/40.02 (define @t377 () (and @t376 @t375 @t374)) % 39.73/40.02 (define @t378 () (forall @t372 @t368)) % 39.73/40.02 (define @t379 () (or @t231 @t378)) % 39.73/40.02 (define @t380 () (and @t204 (forall @t8 (or (not @t145) @t202)) @t365)) % 39.73/40.02 (define @t381 () (or (not (tptp.aElementOf0 tptp.sz00 @t355)) (tptp.sdtlseqdt0 @t343 tptp.sz00))) % 39.73/40.02 (define @t382 () (tptp.aElementOf0 @t343 @t355)) % 39.73/40.02 (define @t383 () (and @t382 @t381 (= @t356 @t343))) % 39.73/40.02 (define @t384 () (or @t362 @t383)) % 39.73/40.02 (define @t385 () (forall @t370 (or (not (tptp.aElementOf0 @t1 @t154)) @t368))) % 39.73/40.02 (define @t386 () (= @t343 @t356)) % 39.73/40.02 (define @t387 () (and @t382 @t381 @t386)) % 39.73/40.02 (define @t388 () (or @t362 @t387)) % 39.73/40.02 (define @t389 () (@list @t385)) % 39.73/40.02 (define @t390 () (@list false false)) % 39.73/40.02 (define @t391 () (or @t360 (tptp.sdtlseqdt0 @t342 tptp.sz00))) % 39.73/40.02 (define @t392 () (tptp.aElementOf0 @t342 @t357)) % 39.73/40.02 (define @t393 () (and @t392 @t391 (= @t358 @t342))) % 39.73/40.02 (define @t394 () (or @t363 @t393)) % 39.73/40.02 (define @t395 () (= @t342 @t358)) % 39.73/40.02 (define @t396 () (and @t392 @t391 @t395)) % 39.73/40.02 (define @t397 () (or @t363 @t396)) % 39.73/40.02 (assume @p1 (forall @t3 (=> @t2 true))) % 39.73/40.02 (assume @p2 (forall @t3 (=> @t4 true))) % 39.73/40.02 (assume @p3 @t11) % 39.73/40.02 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 39.73/40.02 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 39.73/40.02 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 39.73/40.02 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 39.73/40.02 (assume @p8 (forall @t3 (=> @t16 @t15))) % 39.73/40.02 (assume @p9 (forall @t3 (=> @t16 @t17))) % 39.73/40.02 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 39.73/40.02 (assume @p11 @t28) % 39.73/40.02 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 39.73/40.02 (assume @p13 (forall @t31 (=> (and @t2 @t22) (=> (and @t30 @t23) @t29)))) % 39.73/40.02 (assume @p14 (forall @t34 (=> (and @t2 @t22 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t18))))) % 39.73/40.02 (assume @p15 (forall @t31 (=> @t42 (forall @t21 (= (= @t18 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 39.73/40.02 (assume @p16 (forall @t31 (=> @t42 (forall @t21 (= (= @t18 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 39.73/40.02 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 39.73/40.02 (assume @p18 (forall @t31 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 39.73/40.02 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 39.73/40.02 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 39.73/40.02 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 39.73/40.02 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 39.73/40.02 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) @t49)) % 39.73/40.02 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 39.73/40.02 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 39.73/40.02 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 39.73/40.02 (assume @p27 (forall @t3 (=> @t51 (or @t55 (exists @t8 (and @t53 (= @t1 @t52))))))) % 39.73/40.02 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 39.73/40.02 (assume @p29 (forall @t31 (=> @t54 (=> @t56 true)))) % 39.73/40.02 (assume @p30 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 39.73/40.02 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 39.73/40.02 (assume @p32 (forall @t31 (=> @t54 (= @t56 (tptp.sdtlseqdt0 @t50 @t52))))) % 39.73/40.02 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 39.73/40.02 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 39.73/40.02 (assume @p35 (forall @t31 (=> @t54 (=> (and @t56 @t57) @t29)))) % 39.73/40.02 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t59) (=> (and @t56 @t58) (tptp.sdtlseqdt0 @t1 @t18))))) % 39.73/40.02 (assume @p37 (forall @t31 (=> @t54 (or @t56 (tptp.sdtlseqdt0 @t52 @t1))))) % 39.73/40.02 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 39.73/40.02 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 39.73/40.02 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t60)))) % 39.73/40.02 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t60 tptp.szNzAzT0) @t12)))) % 39.73/40.02 (assume @p42 (forall @t3 (=> @t2 (= (= @t60 tptp.sz00) @t13)))) % 39.73/40.02 (assume @p43 (forall @t3 (=> @t26 (forall @t8 (=> @t6 (=> @t61 (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t60)))))))) % 39.73/40.02 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t60)))))) % 39.73/40.02 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 @t62 @t60)))))) % 39.73/40.02 (assume @p46 (forall @t31 (=> @t64 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t60)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= @t63 @t5))))))) % 39.73/40.02 (assume @p47 (forall @t3 (=> (and @t66 @t17) (forall @t8 (= (= @t5 @t65) (and @t7 (forall @t21 (=> @t19 @t58)))))))) % 39.73/40.02 (assume @p48 (forall @t3 (=> (and @t66 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 39.73/40.02 (assume @p49 (forall @t31 (=> (and @t66 @t68 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t65 @t5) (tptp.aElementOf0 @t67 @t1)) (= @t65 @t67))))) % 39.73/40.02 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t69) (and @t22 (forall @t21 (= @t20 (and @t59 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 39.73/40.02 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t69)))) % 39.73/40.02 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 39.73/40.02 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t70) @t29))))) % 39.73/40.02 (assume @p54 (forall @t31 (=> @t54 (= @t56 (tptp.aSubsetOf0 @t69 @t70))))) % 39.73/40.02 (assume @p55 (forall @t3 (=> (and @t66 @t12) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t70)))))) % 39.73/40.02 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t69) @t1)))) % 39.73/40.02 (assume @p57 (forall @t31 (=> @t64 (forall @t21 (= (= @t18 @t73) (and @t33 (forall @t40 (= @t39 (and @t72 (= @t71 @t5)))))))))) % 39.73/40.02 (assume @p58 (forall @t3 (=> @t26 (forall @t8 (=> @t53 (tptp.isFinite0 @t73)))))) % 39.73/40.02 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t53 (not (= @t73 tptp.slcrc0))))))) % 39.73/40.02 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t73)))))) % 39.73/40.02 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t18) (=> (and @t22 @t33 (not @t55)) (=> (and (tptp.aSubsetOf0 @t74 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t74 tptp.slcrc0))) @t32)))))) % 39.73/40.02 (assume @p62 (forall @t31 (=> @t64 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t73) (tptp.isFinite0 @t18)) (exists @t40 (and @t72 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 39.73/40.02 (assume @p63 (forall @t3 (=> @t75 true))) % 39.73/40.02 (assume @p64 (forall @t3 (=> @t75 (tptp.aSet0 @t76)))) % 39.73/40.02 (assume @p65 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElement0 @t77)))))) % 39.73/40.02 (assume @p66 (forall @t31 (=> @t82 (forall @t21 (= (= @t18 @t81) (and @t33 (forall @t40 (= @t39 (and @t80 (= @t79 @t5)))))))))) % 39.73/40.02 (assume @p67 @t84) % 39.73/40.02 (assume @p68 (forall @t3 (=> @t75 (forall @t8 (=> @t89 (forall @t21 (= (= @t18 @t88) (and @t33 (forall @t40 (= @t39 (exists @t87 (and @t86 (= (tptp.sdtlpdtrp0 @t1 @t85) @t35))))))))))))) % 39.73/40.02 (assume @p69 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElementOf0 @t77 @t90)))))) % 39.73/40.02 (assume @p70 (forall @t3 (=> @t75 (forall @t8 (=> @t89 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t93 (= @t92 @t5) (forall @t40 (=> @t91 (= (tptp.sdtlpdtrp0 @t18 @t35) @t79))))))))))) % 39.73/40.02 (assume @p71 @t109) % 39.73/40.02 (assume @p72 @t116) % 39.73/40.02 (assume @p73 (and @t118 @t117)) % 39.73/40.02 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 39.73/40.02 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t51)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 39.73/40.02 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t124 (and @t2 @t127 @t126 @t125)) (=> (and (or (and @t2 @t127) @t126) @t125) @t124))) (= @t119 @t123) (tptp.aSet0 @t120) (forall @t3 (= @t122 (exists @t8 (and (tptp.aElementOf0 @t5 @t119) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t122 @t121)) (tptp.aSubsetOf0 @t120 tptp.xT))) % 39.73/40.02 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and (or (and @t22 (forall @t21 (=> @t20 @t59))) @t68) @t45) (forall @t21 (=> (and @t93 (or (forall @t40 (and (=> @t134 (and (or (and @t139 @t138) @t136) @t135)) (=> (and @t139 @t138 @t136 @t135) @t134))) (= @t92 @t74)) (=> (and (tptp.aSet0 @t132) (forall @t40 (= @t133 (exists @t87 (and (tptp.aElementOf0 @t85 @t92) (= (tptp.sdtlpdtrp0 @t18 @t85) @t35)))))) (or (forall @t40 (=> @t133 @t131)) (tptp.aSubsetOf0 @t132 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and @t131 (exists @t87 (and (tptp.aSet0 @t85) (forall @t130 (=> (tptp.aElementOf0 @t128 @t85) (tptp.aElementOf0 @t128 @t5))) (tptp.aSubsetOf0 @t85 @t5) (tptp.isCountable0 @t85) (forall @t130 (=> (or (and (or (and (tptp.aSet0 @t128) (forall (@list @t129) (=> (tptp.aElementOf0 @t129 @t128) (tptp.aElementOf0 @t129 @t85)))) (tptp.aSubsetOf0 @t128 @t85)) (= (tptp.sbrdtbr0 @t128) @t1)) (tptp.aElementOf0 @t128 (tptp.slbdtsldtrb0 @t85 @t1))) (= (tptp.sdtlpdtrp0 @t18 @t128) @t35))))))))))))))) % 39.73/40.02 (assume @p78 (not (= tptp.xK tptp.sz00))) % 39.73/40.02 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 39.73/40.02 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t154 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t51 (=> (and (or (and @t153 @t152) @t151) @t150) (and @t149 @t148 @t147 @t146 (tptp.aSet0 @t140) (forall @t8 (=> (tptp.aElementOf0 @t5 @t140) @t144)) (tptp.aSubsetOf0 @t140 @t143) (tptp.isCountable0 @t140))))))) % 39.73/40.02 (assume @p81 (forall @t3 (=> @t51 (and @t153 @t152 @t151 @t150)))) % 39.73/40.02 (assume @p82 (forall @t31 (=> @t54 (=> @t57 (and (forall @t21 (=> @t157 @t156)) (tptp.aSubsetOf0 @t141 @t155)))))) % 39.73/40.02 (assume @p83 @t171) % 39.73/40.02 (assume @p84 (forall @t3 (=> @t51 (forall @t8 (=> @t183 (and @t149 @t164 (tptp.aSet0 @t172) @t176 (forall @t21 (=> @t173 (tptp.aElementOf0 @t18 tptp.xS))) (tptp.aSubsetOf0 @t172 tptp.xS) (= (tptp.sbrdtbr0 @t172) tptp.xK) (tptp.aElementOf0 @t172 @t123))))))) % 39.73/40.02 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t51 (and (tptp.aFunction0 @t184) @t149 @t148 @t147 @t146 (forall @t8 (and (=> @t187 (and @t22 @t181 @t179 @t178)) (=> (and @t188 @t178) @t187))) (= @t186 @t177) (forall @t8 (=> @t183 (and @t149 @t164 @t176 (= @t185 (tptp.sdtlpdtrp0 tptp.xc @t172)))))))))) % 39.73/40.02 (assume @p86 (forall @t3 (=> @t51 (and (tptp.aSet0 @t189) (forall @t8 (= @t191 (exists @t21 (and (tptp.aElementOf0 @t18 @t186) @t192)))) (forall @t8 (=> @t191 @t190)) (tptp.aSubsetOf0 @t189 tptp.xT))))) % 39.73/40.02 (assume @p87 (forall @t3 (=> @t51 (forall @t8 (=> (and (=> @t165 (=> @t182 @t188)) @t45) (forall @t21 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 @t91)) (tptp.aSubsetOf0 @t18 @t5)) @t199) (tptp.aElementOf0 @t18 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t149 @t198 @t147 @t197 @t195 @t193 (tptp.aElementOf0 @t18 @t177))))))))) % 39.73/40.02 (assume @p88 (forall @t3 (=> @t51 (exists @t8 (and @t190 (exists @t21 (and @t149 @t198 @t147 @t197 @t33 @t195 @t193 (tptp.isCountable0 @t18) (forall @t40 (=> (and @t139 (or (and (or (forall @t87 (=> @t137 (tptp.aElementOf0 @t85 @t18))) (tptp.aSubsetOf0 @t35 @t18)) (= @t71 tptp.xk)) (tptp.aElementOf0 @t35 (tptp.slbdtsldtrb0 @t18 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t184 @t35) @t5)))))))))) % 39.73/40.02 (assume @p89 (forall @t3 (=> @t51 (exists @t8 (and @t190 (forall @t21 (=> (and @t33 (or (and (or (forall @t40 (=> @t39 (tptp.aElementOf0 @t35 @t140))) (tptp.aSubsetOf0 @t18 @t140)) @t199) (tptp.aElementOf0 @t18 @t200))) @t192))))))) % 39.73/40.02 (assume @p90 (and @t209 (= @t208 tptp.szNzAzT0) @t207)) % 39.73/40.02 (assume @p91 (and @t212 (= @t211 tptp.szNzAzT0) (forall @t3 (=> @t51 (forall @t8 (=> (and @t22 (or (and (or (forall @t21 (=> @t20 (tptp.aElementOf0 @t18 @t140))) (tptp.aSubsetOf0 @t5 @t140)) @t178) (tptp.aElementOf0 @t5 @t200))) (= @t210 @t185))))))) % 39.73/40.02 (assume @p92 (and (tptp.aSet0 @t213) (forall @t3 (= @t215 (exists @t8 (and (tptp.aElementOf0 @t5 @t211) (= (tptp.sdtlpdtrp0 tptp.xd @t5) @t1))))) (forall @t3 (=> @t215 @t121)) @t214)) % 39.73/40.02 (assume @p93 (and @t220 @t219 @t218)) % 39.73/40.02 (assume @p94 (and (tptp.aSet0 tptp.xO) @t219 @t218 (forall @t3 (= (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and (tptp.aElementOf0 @t5 @t217) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1))))) (= tptp.xO @t221))) % 39.73/40.02 (assume @p95 @t223) % 39.73/40.02 (assume @p96 true) % 39.73/40.02 (step @p97 :rule evaluate :args ((= true false))) % 39.73/40.02 (step @p98 :rule refl :args (@t229)) % 39.73/40.02 (step @p99 :rule refl :args (@t29)) % 39.73/40.02 (step @p100 :rule and_elim :premises (@p80) :args (1)) % 39.73/40.02 (step @p101 :rule symm :premises (@p100)) % 39.73/40.02 (step @p102 :rule refl :args (@t5)) % 39.73/40.02 (step @p103 :rule cong :premises (@p102 @p101) :args (@t53)) % 39.73/40.02 (step @p104 :rule cong :premises (@p103) :args (@t230)) % 39.73/40.02 (step @p105 :rule refl :args (@t1)) % 39.73/40.02 (step @p106 :rule cong :premises (@p105 @p101) :args (@t51)) % 39.73/40.02 (step @p107 :rule cong :premises (@p106) :args (@t231)) % 39.73/40.02 (step @p108 :rule nary_cong :premises (@p107 @p104 @p99 @p98) :args (@t232)) % 39.73/40.02 (step @p109 :rule cong :premises (@p108) :args (@t233)) % 39.73/40.02 (step @p110 :rule quant-merge-prenex :args ((= (forall @t31 @t235) @t233))) % 39.73/40.02 (step @p111 :rule quant-unused-vars :args ((= @t236 @t224))) % 39.73/40.02 (step @p112 :rule quant-unused-vars :args ((= @t237 @t226))) % 39.73/40.02 (step @p113 :rule alpha_equiv :args (@t238 (@list @t227) (@list @t18))) % 39.73/40.02 (step @p114 :rule quant-unused-vars :args ((= @t239 @t149))) % 39.73/40.02 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111) :args (@t240)) % 39.73/40.02 (step @p116 :rule quant-miniscope-and :args ((= @t241 @t240))) % 39.73/40.02 (step @p117 :rule trans :premises (@p116 @p115)) % 39.73/40.02 (step @p118 :rule refl :args (@t29)) % 39.73/40.02 (step @p119 :rule refl :args (@t230)) % 39.73/40.02 (step @p120 :rule refl :args (@t231)) % 39.73/40.02 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117) :args (@t242)) % 39.73/40.02 (step @p122 :rule quant-miniscope-or :args ((= @t235 @t242))) % 39.73/40.02 (step @p123 :rule trans :premises (@p122 @p121)) % 39.73/40.02 (step @p124 :rule symm :premises (@p123)) % 39.73/40.02 (step @p125 :rule cong :premises (@p124) :args ((forall @t31 @t245))) % 39.73/40.02 (step @p126 :rule trans :premises (@p125 @p110)) % 39.73/40.02 (step @p127 :rule aci_norm :args ((= (or (or @t231 @t230 @t29) @t244) @t245))) % 39.73/40.02 (step @p128 :rule aci_norm :args ((= (and @t246 (and @t226 @t224)) @t244))) % 39.73/40.02 (step @p129 :rule refl :args (@t224)) % 39.73/40.02 (step @p130 :rule bool-and-de-morgan :args (@t161 @t225 true)) % 39.73/40.02 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((and (not @t247) @t224))) % 39.73/40.02 (step @p132 :rule bool-or-de-morgan :args (@t247 @t158 false)) % 39.73/40.02 (step @p133 :rule trans :premises (@p132 @p131)) % 39.73/40.02 (step @p134 :rule refl :args (@t246)) % 39.73/40.02 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((and @t246 (not @t248)))) % 39.73/40.02 (step @p136 :rule trans :premises (@p135 @p128)) % 39.73/40.02 (step @p137 :rule bool-implies-de-morgan :args (@t246 @t248)) % 39.73/40.02 (step @p138 :rule trans :premises (@p137 @p136)) % 39.73/40.02 (step @p139 :rule bool-double-not-elim :args (@t29)) % 39.73/40.02 (step @p140 :rule nary_cong :premises (@p120 @p119 @p139) :args (@t250)) % 39.73/40.02 (step @p141 :rule aci_norm :args ((= (or @t231 (or @t230 @t249)) @t250))) % 39.73/40.02 (step @p142 :rule trans :premises (@p141 @p140)) % 39.73/40.02 (step @p143 :rule bool-and-de-morgan :args (@t53 @t168 true)) % 39.73/40.02 (step @p144 :rule nary_cong :premises (@p120 @p143) :args ((or @t231 (not (and @t53 @t168))))) % 39.73/40.02 (step @p145 :rule bool-and-de-morgan :args (@t51 @t53 (and @t168))) % 39.73/40.02 (step @p146 :rule trans :premises (@p145 @p144)) % 39.73/40.02 (step @p147 :rule trans :premises (@p146 @p142)) % 39.73/40.02 (step @p148 :rule nary_cong :premises (@p147 @p138) :args ((or (not @t169) @t251))) % 39.73/40.02 (step @p149 :rule trans :premises (@p148 @p127)) % 39.73/40.02 (step @p150 :rule bool-impl-elim :args (@t169 @t251)) % 39.73/40.02 (step @p151 :rule trans :premises (@p150 @p149)) % 39.73/40.02 (step @p152 :rule cong :premises (@p151) :args ((forall @t31 (=> @t169 @t251)))) % 39.73/40.02 (step @p153 :rule trans :premises (@p152 @p126)) % 39.73/40.02 (step @p154 :rule refl :args (@t158)) % 39.73/40.02 (step @p155 :rule bool-impl-elim :args (@t156 @t159)) % 39.73/40.02 (step @p156 :rule cong :premises (@p155) :args (@t160)) % 39.73/40.02 (step @p157 :rule refl :args (@t161)) % 39.73/40.02 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t162)) % 39.73/40.02 (step @p159 :rule nary_cong :premises (@p158 @p154) :args (@t163)) % 39.73/40.02 (step @p160 :rule bool-impl-elim :args (@t157 @t159)) % 39.73/40.02 (step @p161 :rule cong :premises (@p160) :args (@t164)) % 39.73/40.02 (step @p162 :rule refl :args (@t149)) % 39.73/40.02 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t165)) % 39.73/40.02 (step @p164 :rule cong :premises (@p163 @p159) :args (@t166)) % 39.73/40.02 (step @p165 :rule cong :premises (@p164) :args (@t167)) % 39.73/40.02 (step @p166 :rule refl :args (@t169)) % 39.73/40.02 (step @p167 :rule cong :premises (@p166 @p165) :args (@t170)) % 39.73/40.02 (step @p168 :rule cong :premises (@p167) :args (@t171)) % 39.73/40.02 (step @p169 :rule trans :premises (@p168 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@t333))) % 39.73/40.02 (step @p361 :rule cnf_and_pos :args (@t330 1)) % 39.73/40.02 (step @p362 :rule reordering :premises (@p361) :args ((or @t329 (not @t330)))) % 39.73/40.02 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t329 @t334 (@list @t330))) % 39.73/40.02 (step @p364 :rule and_elim :premises (@p90) :args (0)) % 39.73/40.02 (step @p365 :rule and_elim :premises (@p94) :args (4)) % 39.73/40.02 (step @p366 :rule cong :premises (@p365) :args (@t222)) % 39.73/40.02 (step @p367 :rule cong :premises (@p366) :args (@t223)) % 39.73/40.02 (step @p368 :rule eq_resolve :premises (@p95 @p367)) % 39.73/40.02 (step @p369 :rule cnf_or_pos :args (@t340)) % 39.73/40.02 (step @p370 :rule reordering :premises (@p369) :args ((or @t335 @t339 @t336 @t338 @t337 (not @t340)))) % 39.73/40.02 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p364 @p363 @p300 @p239) :args (@t338 (@list true false false false false) (@list @t335 @t209 @t329 @t307 @t340))) % 39.73/40.02 (step @p372 :rule skolemize :premises (@p371)) % 39.73/40.02 (step @p373 :rule bool-double-not-elim :args (@t341)) % 39.73/40.02 (step @p374 :rule refl :args (@t350)) % 39.73/40.02 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t350 (not @t347)))) % 39.73/40.02 (step @p376 :rule cnf_or_neg :args (@t350 1)) % 39.73/40.02 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 39.73/40.02 (step @p378 :rule reordering :premises (@p377) :args ((or @t341 @t350))) % 39.73/40.02 (step @p379 :rule chain_m_resolution :premises (@p378 @p372) :args (@t341 @t351 @t352)) % 39.73/40.02 (step @p380 :rule true_intro :premises (@p379)) % 39.73/40.02 (step @p381 :rule refl :args (@t253)) % 39.73/40.02 (step @p382 :rule cong :premises (@p381 @p294) :args (@t353)) % 39.73/40.02 (step @p383 :rule trans :premises (@p382 @p380)) % 39.73/40.02 (step @p384 :rule true_elim :premises (@p383)) % 39.73/40.02 (step @p385 :rule bool-double-not-elim :args (@t348)) % 39.73/40.02 (step @p386 :rule nary_cong :premises (@p374 @p385) :args ((or @t350 (not @t349)))) % 39.73/40.02 (step @p387 :rule cnf_or_neg :args (@t350 0)) % 39.73/40.02 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 39.73/40.02 (step @p389 :rule reordering :premises (@p388) :args ((or @t348 @t350))) % 39.73/40.02 (step @p390 :rule chain_m_resolution :premises (@p389 @p372) :args (@t348 @t351 @t352)) % 39.73/40.02 (step @p391 :rule true_intro :premises (@p390)) % 39.73/40.02 (step @p392 :rule refl :args (@t254)) % 39.73/40.02 (step @p393 :rule cong :premises (@p392 @p294) :args (@t354)) % 39.73/40.02 (step @p394 :rule trans :premises (@p393 @p391)) % 39.73/40.02 (step @p395 :rule true_elim :premises (@p394)) % 39.73/40.02 (step @p396 :rule cnf_or_neg :args (@t350 2)) % 39.73/40.02 (step @p397 :rule chain_m_resolution :premises (@p396 @p372) :args ((not @t346) @t351 @t352)) % 39.73/40.02 (step @p398 :rule cnf_or_pos :args (@t364)) % 39.73/40.02 (step @p399 :rule reordering :premises (@p398) :args ((or @t346 @t363 @t362 @t361 (not @t364)))) % 39.73/40.02 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p395 @p384 @p172) :args (@t361 (@list true false false false) (@list @t346 @t354 @t353 @t364))) % 39.73/40.02 (step @p401 :rule cnf_and_pos :args (@t361 3)) % 39.73/40.02 (step @p402 :rule reordering :premises (@p401) :args ((or @t359 (not @t361)))) % 39.73/40.02 (step @p403 :rule chain_m_resolution :premises (@p402 @p400) :args (@t359 @t334 (@list @t361))) % 39.73/40.02 (step @p404 :rule false_intro :premises (@p403)) % 39.73/40.02 (step @p405 :rule refl :args (@t368)) % 39.73/40.02 (step @p406 :rule nary_cong :premises (@p107 @p405) :args (@t369)) % 39.73/40.02 (step @p407 :rule cong :premises (@p406) :args (@t371)) % 39.73/40.02 (step @p408 :rule quant-merge-prenex :args ((= (forall @t3 @t373) @t371))) % 39.73/40.02 (step @p409 :rule quant-unused-vars :args ((= @t374 @t365))) % 39.73/40.02 (step @p410 :rule alpha_equiv :args (@t375 (@list @t366) @t272)) % 39.73/40.02 (step @p411 :rule quant-unused-vars :args ((= @t376 @t204))) % 39.73/40.02 (step @p412 :rule nary_cong :premises (@p411 @p410 @p409) :args (@t377)) % 39.73/40.02 (step @p413 :rule quant-miniscope-and :args ((= @t378 @t377))) % 39.73/40.02 (step @p414 :rule trans :premises (@p413 @p412)) % 39.73/40.02 (step @p415 :rule nary_cong :premises (@p120 @p414) :args (@t379)) % 39.73/40.02 (step @p416 :rule quant-miniscope-or :args ((= @t373 @t379))) % 39.73/40.02 (step @p417 :rule trans :premises (@p416 @p415)) % 39.73/40.02 (step @p418 :rule symm :premises (@p417)) % 39.73/40.02 (step @p419 :rule cong :premises (@p418) :args ((forall @t3 (or @t231 @t380)))) % 39.73/40.02 (step @p420 :rule trans :premises (@p419 @p408)) % 39.73/40.02 (step @p421 :rule bool-impl-elim :args (@t51 @t380)) % 39.73/40.02 (step @p422 :rule cong :premises (@p421) :args ((forall @t3 (=> @t51 @t380)))) % 39.73/40.02 (step @p423 :rule trans :premises (@p422 @p420)) % 39.73/40.02 (step @p424 :rule eq-symm :args (@t201 @t142)) % 39.73/40.02 (step @p425 :rule bool-impl-elim :args (@t145 @t202)) % 39.73/40.02 (step @p426 :rule cong :premises (@p425) :args (@t203)) % 39.73/40.02 (step @p427 :rule refl :args (@t204)) % 39.73/40.02 (step @p428 :rule nary_cong :premises (@p427 @p426 @p424) :args (@t205)) % 39.73/40.02 (step @p429 :rule refl :args (@t51)) % 39.73/40.02 (step @p430 :rule cong :premises (@p429 @p428) :args (@t206)) % 39.73/40.02 (step @p431 :rule cong :premises (@p430) :args (@t207)) % 39.73/40.02 (step @p432 :rule trans :premises (@p431 @p423)) % 39.73/40.02 (step @p433 :rule trans :premises (@p432 @p407)) % 39.73/40.02 (step @p434 :rule and_elim :premises (@p90) :args (2)) % 39.73/40.02 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 39.73/40.02 (step @p436 :rule eq-symm :args (@t356 @t343)) % 39.73/40.02 (step @p437 :rule refl :args (@t381)) % 39.73/40.02 (step @p438 :rule refl :args (@t382)) % 39.73/40.02 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436) :args (@t383)) % 39.73/40.02 (step @p440 :rule refl :args (@t362)) % 39.73/40.02 (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t384)) % 39.73/40.02 (step @p442 :rule refl :args (@t385)) % 39.73/40.02 (step @p443 :rule cong :premises (@p442 @p441) :args ((=> @t385 @t384))) % 39.73/40.02 (assume-push @p492 @t385) % 39.73/40.02 (step @p445 :rule instantiate :premises (@p435) :args ((@list @t253 tptp.sz00))) % 39.73/40.02 (step-pop @p493 :rule scope :premises (@p445)) % 39.73/40.02 (step @p446 :rule process_scope :premises (@p493) :args (@t384)) % 39.73/40.02 (step @p448 :rule eq_resolve :premises (@p446 @p443)) % 39.73/40.02 (step @p449 :rule implies_elim :premises (@p448)) % 39.73/40.02 (step @p450 :rule chain_m_resolution :premises (@p449 @p435) :args (@t388 @t334 @t389)) % 39.73/40.02 (step @p451 :rule cnf_or_pos :args (@t388)) % 39.73/40.02 (step @p452 :rule reordering :premises (@p451) :args ((or @t362 @t387 (not @t388)))) % 39.73/40.02 (step @p453 :rule chain_m_resolution :premises (@p452 @p384 @p450) :args (@t387 @t390 (@list @t353 @t388))) % 39.73/40.02 (step @p454 :rule cnf_and_pos :args (@t387 2)) % 39.73/40.02 (step @p455 :rule reordering :premises (@p454) :args ((or @t386 (not @t387)))) % 39.73/40.02 (step @p456 :rule chain_m_resolution :premises (@p455 @p453) :args (@t386 @t334 (@list @t387))) % 39.73/40.02 (step @p457 :rule bool-double-not-elim :args (@t344)) % 39.73/40.02 (step @p458 :rule nary_cong :premises (@p374 @p457) :args ((or @t350 (not @t345)))) % 39.73/40.02 (step @p459 :rule cnf_or_neg :args (@t350 3)) % 39.73/40.02 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 39.73/40.02 (step @p461 :rule reordering :premises (@p460) :args ((or @t344 @t350))) % 39.73/40.02 (step @p462 :rule chain_m_resolution :premises (@p461 @p372) :args (@t344 @t351 @t352)) % 39.73/40.02 (step @p463 :rule symm :premises (@p462)) % 39.73/40.02 (step @p464 :rule trans :premises (@p463 @p456)) % 39.73/40.02 (step @p465 :rule eq-symm :args (@t358 @t342)) % 39.73/40.02 (step @p466 :rule refl :args (@t391)) % 39.73/40.02 (step @p467 :rule refl :args (@t392)) % 39.73/40.02 (step @p468 :rule nary_cong :premises (@p467 @p466 @p465) :args (@t393)) % 39.73/40.02 (step @p469 :rule refl :args (@t363)) % 39.73/40.02 (step @p470 :rule nary_cong :premises (@p469 @p468) :args (@t394)) % 39.73/40.02 (step @p471 :rule cong :premises (@p442 @p470) :args ((=> @t385 @t394))) % 39.73/40.02 (assume-push @p494 @t385) % 39.73/40.02 (step @p473 :rule instantiate :premises (@p435) :args ((@list @t254 tptp.sz00))) % 39.73/40.02 (step-pop @p495 :rule scope :premises (@p473)) % 39.73/40.02 (step @p474 :rule process_scope :premises (@p495) :args (@t394)) % 39.73/40.02 (step @p476 :rule eq_resolve :premises (@p474 @p471)) % 39.73/40.02 (step @p477 :rule implies_elim :premises (@p476)) % 39.73/40.02 (step @p478 :rule chain_m_resolution :premises (@p477 @p435) :args (@t397 @t334 @t389)) % 39.73/40.02 (step @p479 :rule cnf_or_pos :args (@t397)) % 39.73/40.02 (step @p480 :rule reordering :premises (@p479) :args ((or @t363 @t396 (not @t397)))) % 39.73/40.02 (step @p481 :rule chain_m_resolution :premises (@p480 @p395 @p478) :args (@t396 @t390 (@list @t354 @t397))) % 39.73/40.02 (step @p482 :rule cnf_and_pos :args (@t396 2)) % 39.73/40.02 (step @p483 :rule reordering :premises (@p482) :args ((or @t395 (not @t396)))) % 39.73/40.02 (step @p484 :rule chain_m_resolution :premises (@p483 @p481) :args (@t395 @t334 (@list @t396))) % 39.73/40.02 (step @p485 :rule trans :premises (@p462 @p484)) % 39.73/40.02 (step @p486 :rule symm :premises (@p485)) % 39.73/40.02 (step @p487 :rule trans :premises (@p486 @p462 @p464)) % 39.73/40.02 (step @p488 :rule true_intro :premises (@p487)) % 39.73/40.02 (step @p489 :rule symm :premises (@p488)) % 39.73/40.02 (step @p490 :rule trans :premises (@p489 @p404)) % 39.73/40.02 (step @p491 false :rule eq_resolve :premises (@p490 @p97)) % 39.73/40.02 ) % 39.73/40.02 % SZS output end Proof % 39.73/40.02 % cvc5 exiting %------------------------------------------------------------------------------