%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM600+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 : n016.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 08:39:58 AM UTC 2026 % Result : Theorem 0.39s 0.75s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM600+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 % 0.16/0.34 % Computer : n016.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 11:36:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.75 % SZS status Theorem % 0.39/0.75 % SZS output start Proof % 0.39/0.75 ( % 0.39/0.75 (declare-sort $$unsorted 0) % 0.39/0.75 (declare-const tptp.xN $$unsorted) % 0.39/0.75 (declare-const tptp.sz00 $$unsorted) % 0.39/0.75 (declare-const tptp.xC $$unsorted) % 0.39/0.75 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.szNzAzT0 $$unsorted) % 0.39/0.75 (declare-const tptp.xk $$unsorted) % 0.39/0.75 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.xd $$unsorted) % 0.39/0.75 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.xO $$unsorted) % 0.39/0.75 (declare-const tptp.xe $$unsorted) % 0.39/0.75 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.xK $$unsorted) % 0.39/0.75 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.xT $$unsorted) % 0.39/0.75 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.xS $$unsorted) % 0.39/0.75 (declare-const tptp.xc $$unsorted) % 0.39/0.75 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.slcrc0 $$unsorted) % 0.39/0.75 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.75 (define @t2 () (tptp.aSet0 @t1)) % 0.39/0.75 (define @t3 () (@list @t1)) % 0.39/0.75 (define @t4 () (tptp.aElement0 @t1)) % 0.39/0.75 (define @t5 () (@var "W1" $$unsorted)) % 0.39/0.75 (define @t6 () (tptp.aElement0 @t5)) % 0.39/0.75 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.39/0.75 (define @t8 () (@list @t5)) % 0.39/0.75 (define @t9 () (tptp.isFinite0 @t1)) % 0.39/0.75 (define @t10 () (= @t1 tptp.slcrc0)) % 0.39/0.75 (define @t11 () (tptp.isCountable0 @t1)) % 0.39/0.75 (define @t12 () (not @t9)) % 0.39/0.75 (define @t13 () (and @t2 @t11)) % 0.39/0.75 (define @t14 () (not @t10)) % 0.39/0.75 (define @t15 () (@var "W2" $$unsorted)) % 0.39/0.75 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.39/0.75 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.39/0.75 (define @t18 () (@list @t15)) % 0.39/0.75 (define @t19 () (tptp.aSet0 @t5)) % 0.39/0.75 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.39/0.75 (define @t21 () (tptp.isFinite0 @t5)) % 0.39/0.75 (define @t22 () (and @t2 @t9)) % 0.39/0.75 (define @t23 () (= @t1 @t5)) % 0.39/0.75 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.39/0.75 (define @t25 () (@list @t1 @t5)) % 0.39/0.75 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.39/0.75 (define @t27 () (tptp.aSet0 @t15)) % 0.39/0.75 (define @t28 () (@list @t1 @t5 @t15)) % 0.39/0.75 (define @t29 () (@var "W3" $$unsorted)) % 0.39/0.75 (define @t30 () (= @t29 @t5)) % 0.39/0.75 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.39/0.75 (define @t32 () (tptp.aElement0 @t29)) % 0.39/0.75 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.39/0.75 (define @t34 () (@list @t29)) % 0.39/0.75 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.39/0.75 (define @t36 () (and @t2 @t6)) % 0.39/0.75 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.39/0.75 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.39/0.75 (define @t39 () (tptp.isCountable0 @t5)) % 0.39/0.75 (define @t40 () (and @t19 @t39)) % 0.39/0.75 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.39/0.75 (define @t42 () (and @t19 @t21)) % 0.39/0.75 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 0.39/0.75 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.39/0.75 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 0.39/0.75 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.39/0.75 (define @t47 () (and @t44 @t46)) % 0.39/0.75 (define @t48 () (= @t1 tptp.sz00)) % 0.39/0.75 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.39/0.75 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.39/0.75 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.39/0.75 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.39/0.75 (define @t53 () (tptp.sbrdtbr0 @t1)) % 0.39/0.75 (define @t54 () (tptp.sbrdtbr0 @t5)) % 0.39/0.75 (define @t55 () (tptp.sbrdtbr0 @t15)) % 0.39/0.75 (define @t56 () (and @t2 @t46)) % 0.39/0.75 (define @t57 () (tptp.szmzizndt0 @t1)) % 0.39/0.75 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.39/0.75 (define @t59 () (tptp.szmzizndt0 @t5)) % 0.39/0.75 (define @t60 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.39/0.75 (define @t61 () (tptp.slbdtrb0 @t1)) % 0.39/0.75 (define @t62 () (tptp.slbdtrb0 @t5)) % 0.39/0.75 (define @t63 () (tptp.sbrdtbr0 @t29)) % 0.39/0.75 (define @t64 () (tptp.aSubsetOf0 @t29 @t1)) % 0.39/0.75 (define @t65 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.39/0.75 (define @t66 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.39/0.75 (define @t67 () (tptp.aFunction0 @t1)) % 0.39/0.75 (define @t68 () (tptp.szDzozmdt0 @t1)) % 0.39/0.75 (define @t69 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.39/0.75 (define @t70 () (tptp.aElementOf0 @t5 @t68)) % 0.39/0.75 (define @t71 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.39/0.75 (define @t72 () (tptp.aElementOf0 @t29 @t68)) % 0.39/0.75 (define @t73 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.39/0.75 (define @t74 () (and @t67 @t6)) % 0.39/0.75 (define @t75 () (@var "W4" $$unsorted)) % 0.39/0.75 (define @t76 () (tptp.aElementOf0 @t75 @t5)) % 0.39/0.75 (define @t77 () (@list @t75)) % 0.39/0.75 (define @t78 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.39/0.75 (define @t79 () (tptp.aSubsetOf0 @t5 @t68)) % 0.39/0.75 (define @t80 () (tptp.sdtlcdtrc0 @t1 @t68)) % 0.39/0.75 (define @t81 () (tptp.aElementOf0 @t29 @t5)) % 0.39/0.75 (define @t82 () (tptp.szDzozmdt0 @t15)) % 0.39/0.75 (define @t83 () (tptp.aFunction0 @t15)) % 0.39/0.75 (define @t84 () (tptp.szDzizrdt0 @t1)) % 0.39/0.75 (define @t85 () (tptp.szDzozmdt0 tptp.xc)) % 0.39/0.75 (define @t86 () (tptp.sdtlcdtrc0 tptp.xc @t85)) % 0.39/0.75 (define @t87 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.39/0.75 (define @t88 () (tptp.aElementOf0 @t1 @t86)) % 0.39/0.75 (define @t89 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.39/0.75 (define @t90 () (tptp.aElementOf0 @t1 @t85)) % 0.39/0.75 (define @t91 () (= @t53 tptp.xK)) % 0.39/0.75 (define @t92 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.39/0.75 (define @t93 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.39/0.75 (define @t94 () (@var "W5" $$unsorted)) % 0.39/0.75 (define @t95 () (@var "W6" $$unsorted)) % 0.39/0.75 (define @t96 () (@list @t94)) % 0.39/0.75 (define @t97 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.39/0.75 (define @t98 () (tptp.sdtlcdtrc0 @t15 @t82)) % 0.39/0.75 (define @t99 () (tptp.aElementOf0 @t29 @t98)) % 0.39/0.75 (define @t100 () (tptp.aElementOf0 @t29 @t82)) % 0.39/0.75 (define @t101 () (= @t63 @t1)) % 0.39/0.75 (define @t102 () (tptp.aSubsetOf0 @t29 @t5)) % 0.39/0.75 (define @t103 () (tptp.aElementOf0 @t75 @t29)) % 0.39/0.75 (define @t104 () (forall @t77 (=> @t103 @t76))) % 0.39/0.75 (define @t105 () (tptp.aSet0 @t29)) % 0.39/0.75 (define @t106 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 0.39/0.75 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.39/0.75 (define @t108 () (tptp.szmzizndt0 @t107)) % 0.39/0.75 (define @t109 () (tptp.sdtmndt0 @t107 @t108)) % 0.39/0.75 (define @t110 () (tptp.aElementOf0 @t5 @t109)) % 0.39/0.75 (define @t111 () (tptp.aElementOf0 @t5 @t107)) % 0.39/0.75 (define @t112 () (forall @t8 (= @t110 (and @t6 @t111 (not (= @t5 @t108)))))) % 0.39/0.75 (define @t113 () (tptp.aSet0 @t109)) % 0.39/0.75 (define @t114 () (forall @t8 (=> @t111 (tptp.sdtlseqdt0 @t108 @t5)))) % 0.39/0.75 (define @t115 () (tptp.aElementOf0 @t108 @t107)) % 0.39/0.75 (define @t116 () (tptp.isCountable0 @t107)) % 0.39/0.75 (define @t117 () (tptp.aSubsetOf0 @t107 tptp.szNzAzT0)) % 0.39/0.75 (define @t118 () (forall @t8 (=> @t111 @t46))) % 0.39/0.75 (define @t119 () (tptp.aSet0 @t107)) % 0.39/0.75 (define @t120 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.39/0.75 (define @t121 () (tptp.aElementOf0 @t15 @t120)) % 0.39/0.75 (define @t122 () (tptp.aElementOf0 @t15 @t107)) % 0.39/0.75 (define @t123 () (tptp.sdtlseqdt0 @t108 @t15)) % 0.39/0.75 (define @t124 () (forall @t18 (=> @t122 @t123))) % 0.39/0.75 (define @t125 () (and @t115 @t124)) % 0.39/0.75 (define @t126 () (tptp.sdtpldt0 @t5 @t108)) % 0.39/0.75 (define @t127 () (tptp.aElementOf0 @t15 @t126)) % 0.39/0.75 (define @t128 () (= @t15 @t108)) % 0.39/0.75 (define @t129 () (tptp.aElement0 @t15)) % 0.39/0.75 (define @t130 () (forall @t18 (= @t127 (and @t129 (or @t17 @t128))))) % 0.39/0.75 (define @t131 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 0.39/0.75 (define @t132 () (= @t54 tptp.xk)) % 0.39/0.75 (define @t133 () (tptp.aSubsetOf0 @t5 @t109)) % 0.39/0.75 (define @t134 () (tptp.aElementOf0 @t15 @t109)) % 0.39/0.75 (define @t135 () (forall @t18 (=> @t17 @t134))) % 0.39/0.75 (define @t136 () (and @t113 (forall @t18 (= @t134 (and @t129 @t122 (not @t128)))))) % 0.39/0.75 (define @t137 () (and @t19 (=> @t125 (=> @t136 (or (and (or @t135 @t133) @t132) (tptp.aElementOf0 @t5 @t131)))))) % 0.39/0.75 (define @t138 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.39/0.75 (define @t139 () (tptp.sdtlpdtrp0 @t138 @t5)) % 0.39/0.75 (define @t140 () (tptp.szDzozmdt0 @t138)) % 0.39/0.75 (define @t141 () (tptp.aElementOf0 @t5 @t140)) % 0.39/0.75 (define @t142 () (or (and @t19 @t135) @t133)) % 0.39/0.75 (define @t143 () (tptp.sdtlcdtrc0 @t138 @t140)) % 0.39/0.75 (define @t144 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.39/0.75 (define @t145 () (tptp.aElementOf0 @t5 @t143)) % 0.39/0.75 (define @t146 () (= (tptp.sdtlpdtrp0 @t138 @t15) @t5)) % 0.39/0.75 (define @t147 () (tptp.aSubsetOf0 @t15 @t109)) % 0.39/0.75 (define @t148 () (tptp.aElementOf0 @t29 @t109)) % 0.39/0.75 (define @t149 () (forall @t34 (=> @t33 @t148))) % 0.39/0.75 (define @t150 () (tptp.aElementOf0 @t29 @t107)) % 0.39/0.75 (define @t151 () (forall @t34 (= @t148 (and @t32 @t150 (not (= @t29 @t108)))))) % 0.39/0.75 (define @t152 () (forall @t34 (=> @t150 (tptp.sdtlseqdt0 @t108 @t29)))) % 0.39/0.75 (define @t153 () (= @t55 tptp.xk)) % 0.39/0.75 (define @t154 () (tptp.slbdtsldtrb0 @t106 tptp.xk)) % 0.39/0.75 (define @t155 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.39/0.75 (define @t156 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.39/0.75 (define @t157 () (tptp.szDzozmdt0 tptp.xd)) % 0.39/0.75 (define @t158 () (tptp.sdtlcdtrc0 tptp.xd @t157)) % 0.39/0.75 (define @t159 () (tptp.aElementOf0 @t1 @t158)) % 0.39/0.75 (define @t160 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.39/0.75 (define @t161 () (tptp.szDzizrdt0 tptp.xd)) % 0.39/0.75 (define @t162 () (tptp.sdtlbdtrb0 tptp.xd @t161)) % 0.39/0.75 (define @t163 () (forall @t3 (= (tptp.aElementOf0 @t1 @t162) (and (tptp.aElementOf0 @t1 @t157) (= @t156 @t161))))) % 0.39/0.75 (define @t164 () (tptp.aSet0 @t162)) % 0.39/0.75 (define @t165 () (tptp.sdtlpdtrp0 tptp.xe @t5)) % 0.39/0.75 (define @t166 () (= @t165 @t1)) % 0.39/0.75 (define @t167 () (tptp.aElementOf0 @t5 @t162)) % 0.39/0.75 (define @t168 () (and @t167 @t166)) % 0.39/0.75 (define @t169 () (exists @t8 @t168)) % 0.39/0.75 (define @t170 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.39/0.75 (define @t171 () (tptp.aSet0 tptp.xO)) % 0.39/0.75 (define @t172 () (= @t160 @t161)) % 0.39/0.75 (define @t173 () (or @t172 @t167)) % 0.39/0.75 (define @t174 () (and @t46 @t173 @t166)) % 0.39/0.75 (define @t175 () (exists @t8 @t174)) % 0.39/0.75 (define @t176 () (and @t169 @t170)) % 0.39/0.75 (define @t177 () (=> @t176 @t175)) % 0.39/0.75 (define @t178 () (forall @t3 @t177)) % 0.39/0.75 (define @t179 () (not @t178)) % 0.39/0.75 (define @t180 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 0.39/0.75 (define @t181 () (not (tptp.aElementOf0 @t180 @t162))) % 0.39/0.75 (define @t182 () (tptp.sdtlpdtrp0 tptp.xe @t180)) % 0.39/0.75 (define @t183 () (not @t167)) % 0.39/0.75 (define @t184 () (and (not @t172) @t183)) % 0.39/0.75 (define @t185 () (not @t46)) % 0.39/0.75 (define @t186 () (not (forall @t8 (or @t185 @t184 (not (= @t165 @t182)))))) % 0.39/0.75 (define @t187 () (not (tptp.aElementOf0 @t182 tptp.xO))) % 0.39/0.75 (define @t188 () (or @t187 @t186 @t181)) % 0.39/0.75 (define @t189 () (not (= @t182 @t182))) % 0.39/0.75 (define @t190 () (not (= @t182 @t165))) % 0.39/0.75 (define @t191 () (or @t185 @t184 @t190)) % 0.39/0.75 (define @t192 () (forall @t8 @t191)) % 0.39/0.75 (define @t193 () (not @t192)) % 0.39/0.75 (define @t194 () (or @t187 @t193 @t181 @t189)) % 0.39/0.75 (define @t195 () (@list @t180)) % 0.39/0.75 (define @t196 () (not (= @t1 @t182))) % 0.39/0.75 (define @t197 () (= @t1 @t165)) % 0.39/0.75 (define @t198 () (not @t197)) % 0.39/0.75 (define @t199 () (not (forall @t8 (or @t185 @t184 @t198)))) % 0.39/0.75 (define @t200 () (not @t170)) % 0.39/0.75 (define @t201 () (or @t196 @t200 @t199 @t181 @t196)) % 0.39/0.75 (define @t202 () (or @t200 @t199 @t181 @t196)) % 0.39/0.75 (define @t203 () (forall @t3 @t202)) % 0.39/0.75 (define @t204 () (forall @t195 @t203)) % 0.39/0.75 (define @t205 () (forall (@list @t180 @t1) @t202)) % 0.39/0.75 (define @t206 () (@list @t1 @t180)) % 0.39/0.75 (define @t207 () (or @t181 @t196)) % 0.39/0.75 (define @t208 () (or @t207 @t200 @t199)) % 0.39/0.75 (define @t209 () (forall @t206 @t208)) % 0.39/0.75 (define @t210 () (forall @t195 @t208)) % 0.39/0.75 (define @t211 () (forall @t195 @t207)) % 0.39/0.75 (define @t212 () (or @t211 @t200 @t199)) % 0.39/0.75 (define @t213 () (forall @t8 (or @t183 @t198))) % 0.39/0.75 (define @t214 () (or @t213 @t200 @t199)) % 0.39/0.75 (define @t215 () (not @t213)) % 0.39/0.75 (define @t216 () (and @t215 @t170)) % 0.39/0.75 (define @t217 () (not @t173)) % 0.39/0.75 (define @t218 () (or @t185 @t217 @t198)) % 0.39/0.75 (define @t219 () (and @t46 @t173 @t197)) % 0.39/0.75 (define @t220 () (forall @t8 (not @t219))) % 0.39/0.75 (define @t221 () (not @t220)) % 0.39/0.75 (define @t222 () (and @t167 @t197)) % 0.39/0.75 (define @t223 () (forall @t8 (not @t222))) % 0.39/0.75 (define @t224 () (not @t223)) % 0.39/0.75 (define @t225 () (@quantifiers_skolemize (forall @t195 @t188) 0)) % 0.39/0.75 (define @t226 () (tptp.sdtlpdtrp0 tptp.xe @t225)) % 0.39/0.75 (define @t227 () (forall @t8 (or @t185 @t184 (not (= @t165 @t226))))) % 0.39/0.75 (define @t228 () (tptp.aElementOf0 @t225 @t162)) % 0.39/0.75 (define @t229 () (not @t228)) % 0.39/0.75 (define @t230 () (not @t227)) % 0.39/0.75 (define @t231 () (or (not (tptp.aElementOf0 @t226 tptp.xO)) @t230 @t229)) % 0.39/0.75 (define @t232 () (@list true)) % 0.39/0.75 (define @t233 () (@list @t231)) % 0.39/0.75 (define @t234 () (tptp.sdtlpdtrp0 tptp.xd @t225)) % 0.39/0.75 (define @t235 () (= @t161 @t234)) % 0.39/0.75 (define @t236 () (and (not @t235) @t229)) % 0.39/0.75 (define @t237 () (tptp.aElementOf0 @t225 tptp.szNzAzT0)) % 0.39/0.75 (define @t238 () (not @t237)) % 0.39/0.75 (define @t239 () (or @t238 @t236)) % 0.39/0.75 (define @t240 () (not (= @t226 @t226))) % 0.39/0.75 (define @t241 () (= @t234 @t161)) % 0.39/0.75 (define @t242 () (not @t241)) % 0.39/0.75 (define @t243 () (and @t242 @t229)) % 0.39/0.75 (define @t244 () (or @t238 @t243 @t240)) % 0.39/0.75 (define @t245 () (@list @t225)) % 0.39/0.75 (define @t246 () (@list false)) % 0.39/0.75 (define @t247 () (not @t236)) % 0.39/0.75 (define @t248 () (tptp.aElementOf0 @t225 @t157)) % 0.39/0.75 (define @t249 () (and @t248 @t241)) % 0.39/0.75 (define @t250 () (= @t228 @t249)) % 0.39/0.75 (define @t251 () (and @t248 @t235)) % 0.39/0.75 (define @t252 () (= @t228 @t251)) % 0.39/0.75 (define @t253 () (not @t248)) % 0.39/0.75 (define @t254 () (= tptp.szNzAzT0 @t157)) % 0.39/0.75 (define @t255 () (not @t254)) % 0.39/0.75 (define @t256 () (and @t254 @t238)) % 0.39/0.75 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.75 (assume @p2 (forall @t3 (=> @t4 true))) % 0.39/0.75 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.39/0.75 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.39/0.75 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.39/0.75 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.39/0.75 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.39/0.75 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.39/0.75 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.39/0.75 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.39/0.75 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.39/0.75 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.39/0.75 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.39/0.75 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.39/0.75 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.39/0.75 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.39/0.75 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.39/0.75 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.39/0.75 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.39/0.75 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.39/0.75 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.39/0.75 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.39/0.75 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.39/0.75 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.39/0.75 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 0.39/0.75 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 0.39/0.75 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 0.39/0.75 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 0.39/0.75 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 0.39/0.75 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.39/0.75 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 0.39/0.75 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 0.39/0.75 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 0.39/0.75 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.39/0.75 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 0.39/0.75 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.39/0.75 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 0.39/0.75 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.39/0.75 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 0.39/0.75 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 0.39/0.75 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 0.39/0.75 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 0.39/0.75 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 0.39/0.75 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 0.39/0.75 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t54 @t53)))))) % 0.39/0.75 (assume @p46 (forall @t25 (=> @t56 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t55 @t5))))))) % 0.39/0.75 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 0.39/0.75 (assume @p48 (forall @t3 (=> (and @t58 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.39/0.75 (assume @p49 (forall @t25 (=> (and @t58 @t60 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t59 @t1)) (= @t57 @t59))))) % 0.39/0.75 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t61) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.39/0.75 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t61)))) % 0.39/0.75 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.39/0.75 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t62) @t23))))) % 0.39/0.75 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t61 @t62))))) % 0.39/0.75 (assume @p55 (forall @t3 (=> (and @t58 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t62)))))) % 0.39/0.75 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t61) @t1)))) % 0.39/0.75 (assume @p57 (forall @t25 (=> @t56 (forall @t18 (= (= @t15 @t65) (and @t27 (forall @t34 (= @t33 (and @t64 (= @t63 @t5)))))))))) % 0.39/0.75 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t65)))))) % 0.39/0.75 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t65 tptp.slcrc0))))))) % 0.39/0.75 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t65)))))) % 0.39/0.75 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t66 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t66 tptp.slcrc0))) @t26)))))) % 0.39/0.75 (assume @p62 (forall @t25 (=> @t56 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t65) (tptp.isFinite0 @t15)) (exists @t34 (and @t64 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.39/0.75 (assume @p63 (forall @t3 (=> @t67 true))) % 0.39/0.75 (assume @p64 (forall @t3 (=> @t67 (tptp.aSet0 @t68)))) % 0.39/0.75 (assume @p65 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElement0 @t69)))))) % 0.39/0.75 (assume @p66 (forall @t25 (=> @t74 (forall @t18 (= (= @t15 @t73) (and @t27 (forall @t34 (= @t33 (and @t72 (= @t71 @t5)))))))))) % 0.39/0.75 (assume @p67 (forall @t25 (=> @t74 (tptp.aSubsetOf0 @t73 @t68)))) % 0.39/0.75 (assume @p68 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 @t78) (and @t27 (forall @t34 (= @t33 (exists @t77 (and @t76 (= (tptp.sdtlpdtrp0 @t1 @t75) @t29))))))))))))) % 0.39/0.75 (assume @p69 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElementOf0 @t69 @t80)))))) % 0.39/0.75 (assume @p70 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t83 (= @t82 @t5) (forall @t34 (=> @t81 (= (tptp.sdtlpdtrp0 @t15 @t29) @t71))))))))))) % 0.39/0.75 (assume @p71 (forall @t3 (=> @t67 (forall @t8 (=> (and @t79 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t68) @t72 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t71)))) (tptp.isCountable0 @t78))))))) % 0.39/0.75 (assume @p72 (forall @t3 (=> @t67 (=> (and (tptp.isCountable0 @t68) (tptp.isFinite0 @t80)) (and (tptp.aElement0 @t84) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t84))))))) % 0.39/0.75 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.39/0.75 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.39/0.75 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.39/0.75 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t90 (and @t2 @t93 @t92 @t91)) (=> (and (or (and @t2 @t93) @t92) @t91) @t90))) (= @t85 @t89) (tptp.aSet0 @t86) (forall @t3 (= @t88 (exists @t8 (and (tptp.aElementOf0 @t5 @t85) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t88 @t87)) (tptp.aSubsetOf0 @t86 tptp.xT))) % 0.39/0.75 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t60) @t39) (forall @t18 (=> (and @t83 (or (forall @t34 (and (=> @t100 (and (or (and @t105 @t104) @t102) @t101)) (=> (and @t105 @t104 @t102 @t101) @t100))) (= @t82 @t66)) (=> (and (tptp.aSet0 @t98) (forall @t34 (= @t99 (exists @t77 (and (tptp.aElementOf0 @t75 @t82) (= (tptp.sdtlpdtrp0 @t15 @t75) @t29)))))) (or (forall @t34 (=> @t99 @t97)) (tptp.aSubsetOf0 @t98 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t97 (exists @t77 (and (tptp.aSet0 @t75) (forall @t96 (=> (tptp.aElementOf0 @t94 @t75) (tptp.aElementOf0 @t94 @t5))) (tptp.aSubsetOf0 @t75 @t5) (tptp.isCountable0 @t75) (forall @t96 (=> (or (and (or (and (tptp.aSet0 @t94) (forall (@list @t95) (=> (tptp.aElementOf0 @t95 @t94) (tptp.aElementOf0 @t95 @t75)))) (tptp.aSubsetOf0 @t94 @t75)) (= (tptp.sbrdtbr0 @t94) @t1)) (tptp.aElementOf0 @t94 (tptp.slbdtsldtrb0 @t75 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t94) @t29))))))))))))))) % 0.39/0.75 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.39/0.75 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.39/0.75 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t119 @t118) @t117) @t116) (and @t115 @t114 @t113 @t112 (tptp.aSet0 @t106) (forall @t8 (=> (tptp.aElementOf0 @t5 @t106) @t110)) (tptp.aSubsetOf0 @t106 @t109) (tptp.isCountable0 @t106))))))) % 0.39/0.75 (assume @p81 (forall @t3 (=> @t44 (and @t119 @t118 @t117 @t116)))) % 0.39/0.75 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t122 @t121)) (tptp.aSubsetOf0 @t107 @t120)))))) % 0.39/0.75 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t125 (or (and (tptp.aElementOf0 @t108 @t120) (forall @t18 (=> @t121 @t123))) (= @t108 (tptp.szmzizndt0 @t120)))))))) % 0.39/0.75 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t137 (and @t115 @t124 (tptp.aSet0 @t126) @t130 (forall @t18 (=> @t127 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t126 tptp.xS) (= (tptp.sbrdtbr0 @t126) tptp.xK) (tptp.aElementOf0 @t126 @t89))))))) % 0.39/0.75 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t138) @t115 @t114 @t113 @t112 (forall @t8 (and (=> @t141 (and @t19 @t135 @t133 @t132)) (=> (and @t142 @t132) @t141))) (= @t140 @t131) (forall @t8 (=> @t137 (and @t115 @t124 @t130 (= @t139 (tptp.sdtlpdtrp0 tptp.xc @t126)))))))))) % 0.39/0.75 (assume @p86 (forall @t3 (=> @t44 (and (tptp.aSet0 @t143) (forall @t8 (= @t145 (exists @t18 (and (tptp.aElementOf0 @t15 @t140) @t146)))) (forall @t8 (=> @t145 @t144)) (tptp.aSubsetOf0 @t143 tptp.xT))))) % 0.39/0.75 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (=> @t125 (=> @t136 @t142)) @t39) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t81)) (tptp.aSubsetOf0 @t15 @t5)) @t153) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t115 @t152 @t113 @t151 @t149 @t147 (tptp.aElementOf0 @t15 @t131))))))))) % 0.39/0.75 (assume @p88 (forall @t3 (=> @t44 (exists @t8 (and @t144 (exists @t18 (and @t115 @t152 @t113 @t151 @t27 @t149 @t147 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t105 (or (and (or (forall @t77 (=> @t103 (tptp.aElementOf0 @t75 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t63 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t138 @t29) @t5)))))))))) % 0.39/0.75 (assume @p89 (forall @t3 (=> @t44 (exists @t8 (and @t144 (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 (tptp.aElementOf0 @t29 @t106))) (tptp.aSubsetOf0 @t15 @t106)) @t153) (tptp.aElementOf0 @t15 @t154))) @t146))))))) % 0.39/0.75 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t155 @t107) (forall @t8 (=> @t111 (tptp.sdtlseqdt0 @t155 @t5))) (= @t155 @t108)))))) % 0.39/0.75 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t157 tptp.szNzAzT0) (forall @t3 (=> @t44 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t106))) (tptp.aSubsetOf0 @t5 @t106)) @t132) (tptp.aElementOf0 @t5 @t154))) (= @t156 @t139))))))) % 0.39/0.75 (assume @p92 (and (tptp.aSet0 @t158) (forall @t3 (= @t159 (exists @t8 (and (tptp.aElementOf0 @t5 @t157) (= @t160 @t1))))) (forall @t3 (=> @t159 @t87)) (tptp.aSubsetOf0 @t158 tptp.xT))) % 0.39/0.75 (assume @p93 (and (tptp.aElementOf0 @t161 tptp.xT) @t164 @t163)) % 0.39/0.75 (assume @p94 (and @t171 @t164 @t163 (forall @t3 (= @t170 @t169)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t162)))) % 0.39/0.75 (assume @p95 (and @t171 (tptp.isCountable0 tptp.xO))) % 0.39/0.75 (assume @p96 @t179) % 0.39/0.75 (assume @p97 true) % 0.39/0.75 (step @p98 :rule and_elim :premises (@p91) :args (1)) % 0.39/0.75 (step @p99 :rule symm :premises (@p98)) % 0.39/0.75 (step @p100 :rule aci_norm :args ((= (or @t187 @t186 @t181 false) @t188))) % 0.39/0.75 (step @p101 :rule evaluate :args ((not true))) % 0.39/0.75 (step @p102 :rule eq-refl :args (@t182)) % 0.39/0.75 (step @p103 :rule cong :premises (@p102) :args (@t189)) % 0.39/0.75 (step @p104 :rule trans :premises (@p103 @p101)) % 0.39/0.75 (step @p105 :rule refl :args (@t181)) % 0.39/0.75 (step @p106 :rule eq-symm :args (@t182 @t165)) % 0.39/0.75 (step @p107 :rule cong :premises (@p106) :args (@t190)) % 0.39/0.75 (step @p108 :rule refl :args (@t184)) % 0.39/0.75 (step @p109 :rule refl :args (@t185)) % 0.39/0.75 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t191)) % 0.39/0.75 (step @p111 :rule cong :premises (@p110) :args (@t192)) % 0.39/0.75 (step @p112 :rule cong :premises (@p111) :args (@t193)) % 0.39/0.75 (step @p113 :rule refl :args (@t187)) % 0.39/0.75 (step @p114 :rule nary_cong :premises (@p113 @p112 @p105 @p104) :args (@t194)) % 0.39/0.75 (step @p115 :rule trans :premises (@p114 @p100)) % 0.39/0.75 (step @p116 :rule cong :premises (@p115) :args ((forall @t195 @t194))) % 0.39/0.75 (step @p117 :rule quant-var-elim-eq :args ((= (forall @t3 @t201) @t194))) % 0.39/0.75 (step @p118 :rule aci_norm :args ((= @t202 @t201))) % 0.39/0.75 (step @p119 :rule cong :premises (@p118) :args (@t203)) % 0.39/0.75 (step @p120 :rule trans :premises (@p119 @p117)) % 0.39/0.75 (step @p121 :rule cong :premises (@p120) :args (@t204)) % 0.39/0.75 (step @p122 :rule quant-merge-prenex :args ((= @t204 @t205))) % 0.39/0.75 (step @p123 :rule symm :premises (@p122)) % 0.39/0.75 (step @p124 :rule quant_var_reordering :args ((= (forall @t206 @t202) @t205))) % 0.39/0.75 (step @p125 :rule trans :premises (@p124 @p123 @p121)) % 0.39/0.75 (step @p126 :rule trans :premises (@p125 @p116)) % 0.39/0.75 (step @p127 :rule aci_norm :args ((= @t208 @t202))) % 0.39/0.75 (step @p128 :rule cong :premises (@p127) :args (@t209)) % 0.39/0.75 (step @p129 :rule trans :premises (@p128 @p126)) % 0.39/0.75 (step @p130 :rule quant-merge-prenex :args ((= (forall @t3 @t210) @t209))) % 0.39/0.75 (step @p131 :rule refl :args (@t199)) % 0.39/0.75 (step @p132 :rule refl :args (@t200)) % 0.39/0.75 (step @p133 :rule alpha_equiv :args (@t211 (@list @t180) (@list @t5))) % 0.39/0.75 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args (@t212)) % 0.39/0.75 (step @p135 :rule quant-miniscope-or :args ((= @t210 @t212))) % 0.39/0.75 (step @p136 :rule trans :premises (@p135 @p134)) % 0.39/0.75 (step @p137 :rule symm :premises (@p136)) % 0.39/0.75 (step @p138 :rule cong :premises (@p137) :args ((forall @t3 @t214))) % 0.39/0.75 (step @p139 :rule trans :premises (@p138 @p130)) % 0.39/0.75 (step @p140 :rule trans :premises (@p139 @p129)) % 0.39/0.75 (step @p141 :rule aci_norm :args ((= (or (or @t213 @t200) @t199) @t214))) % 0.39/0.75 (step @p142 :rule bool-double-not-elim :args (@t213)) % 0.39/0.75 (step @p143 :rule nary_cong :premises (@p142 @p132) :args ((or (not @t215) @t200))) % 0.39/0.75 (step @p144 :rule bool-and-de-morgan :args (@t215 @t170 true)) % 0.39/0.75 (step @p145 :rule trans :premises (@p144 @p143)) % 0.39/0.75 (step @p146 :rule nary_cong :premises (@p145 @p131) :args ((or (not @t216) @t199))) % 0.39/0.75 (step @p147 :rule trans :premises (@p146 @p141)) % 0.39/0.75 (step @p148 :rule bool-impl-elim :args (@t216 @t199)) % 0.39/0.75 (step @p149 :rule trans :premises (@p148 @p147)) % 0.39/0.75 (step @p150 :rule cong :premises (@p149) :args ((forall @t3 (=> @t216 @t199)))) % 0.39/0.75 (step @p151 :rule trans :premises (@p150 @p140)) % 0.39/0.75 (step @p152 :rule refl :args (@t198)) % 0.39/0.75 (step @p153 :rule bool-or-de-morgan :args (@t172 @t167 false)) % 0.39/0.75 (step @p154 :rule refl :args (@t185)) % 0.39/0.75 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t218)) % 0.39/0.75 (step @p156 :rule aci_norm :args ((= (or @t185 (or @t217 @t198)) @t218))) % 0.39/0.75 (step @p157 :rule bool-and-de-morgan :args (@t173 @t197 true)) % 0.39/0.75 (step @p158 :rule nary_cong :premises (@p154 @p157) :args ((or @t185 (not (and @t173 @t197))))) % 0.39/0.75 (step @p159 :rule bool-and-de-morgan :args (@t46 @t173 (and @t197))) % 0.39/0.75 (step @p160 :rule trans :premises (@p159 @p158)) % 0.39/0.75 (step @p161 :rule trans :premises (@p160 @p156)) % 0.39/0.75 (step @p162 :rule trans :premises (@p161 @p155)) % 0.39/0.75 (step @p163 :rule cong :premises (@p162) :args (@t220)) % 0.39/0.75 (step @p164 :rule cong :premises (@p163) :args (@t221)) % 0.39/0.75 (step @p165 :rule exists-elim :args ((= (exists @t8 @t219) @t221))) % 0.39/0.75 (step @p166 :rule trans :premises (@p165 @p164)) % 0.39/0.75 (step @p167 :rule eq-symm :args (@t165 @t1)) % 0.39/0.75 (step @p168 :rule refl :args (@t173)) % 0.39/0.75 (step @p169 :rule refl :args (@t46)) % 0.39/0.75 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args (@t174)) % 0.39/0.75 (step @p171 :rule cong :premises (@p170) :args (@t175)) % 0.39/0.75 (step @p172 :rule trans :premises (@p171 @p166)) % 0.39/0.75 (step @p173 :rule refl :args (@t170)) % 0.39/0.75 (step @p174 :rule bool-and-de-morgan :args (@t167 @t197 true)) % 0.39/0.75 (step @p175 :rule cong :premises (@p174) :args (@t223)) % 0.39/0.75 (step @p176 :rule cong :premises (@p175) :args (@t224)) % 0.39/0.75 (step @p177 :rule exists-elim :args ((= (exists @t8 @t222) @t224))) % 0.39/0.75 (step @p178 :rule trans :premises (@p177 @p176)) % 0.39/0.75 (step @p179 :rule refl :args (@t167)) % 0.39/0.75 (step @p180 :rule nary_cong :premises (@p179 @p167) :args (@t168)) % 0.39/0.75 (step @p181 :rule cong :premises (@p180) :args (@t169)) % 0.39/0.75 (step @p182 :rule trans :premises (@p181 @p178)) % 0.39/0.75 (step @p183 :rule nary_cong :premises (@p182 @p173) :args (@t176)) % 0.39/0.75 (step @p184 :rule cong :premises (@p183 @p172) :args (@t177)) % 0.39/0.75 (step @p185 :rule cong :premises (@p184) :args (@t178)) % 0.39/0.75 (step @p186 :rule trans :premises (@p185 @p151)) % 0.39/0.75 (step @p187 :rule cong :premises (@p186) :args (@t179)) % 0.39/0.75 (step @p188 :rule eq_resolve :premises (@p96 @p187)) % 0.39/0.75 (step @p189 :rule skolemize :premises (@p188)) % 0.39/0.75 (step @p190 :rule bool-double-not-elim :args (@t227)) % 0.39/0.75 (step @p191 :rule refl :args (@t231)) % 0.39/0.75 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t231 (not @t230)))) % 0.39/0.75 (step @p193 :rule cnf_or_neg :args (@t231 1)) % 0.39/0.75 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.39/0.75 (step @p195 :rule reordering :premises (@p194) :args ((or @t227 @t231))) % 0.39/0.75 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t227 @t232 @t233)) % 0.39/0.75 (step @p197 :rule aci_norm :args ((= (or @t238 @t236 false) @t239))) % 0.39/0.75 (step @p198 :rule eq-refl :args (@t226)) % 0.39/0.75 (step @p199 :rule cong :premises (@p198) :args (@t240)) % 0.39/0.75 (step @p200 :rule trans :premises (@p199 @p101)) % 0.39/0.75 (step @p201 :rule refl :args (@t229)) % 0.39/0.75 (step @p202 :rule eq-symm :args (@t234 @t161)) % 0.39/0.75 (step @p203 :rule cong :premises (@p202) :args (@t242)) % 0.39/0.75 (step @p204 :rule nary_cong :premises (@p203 @p201) :args (@t243)) % 0.39/0.75 (step @p205 :rule refl :args (@t238)) % 0.39/0.75 (step @p206 :rule nary_cong :premises (@p205 @p204 @p200) :args (@t244)) % 0.39/0.75 (step @p207 :rule trans :premises (@p206 @p197)) % 0.39/0.75 (step @p208 :rule refl :args (@t227)) % 0.39/0.75 (step @p209 :rule cong :premises (@p208 @p207) :args ((=> @t227 @t244))) % 0.39/0.75 (assume-push @p268 @t227) % 0.39/0.75 (step @p211 :rule instantiate :premises (@p196) :args (@t245)) % 0.39/0.75 (step-pop @p269 :rule scope :premises (@p211)) % 0.39/0.75 (step @p212 :rule process_scope :premises (@p269) :args (@t244)) % 0.39/0.75 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 0.39/0.75 (step @p215 :rule implies_elim :premises (@p214)) % 0.39/0.75 (step @p216 :rule chain_m_resolution :premises (@p215 @p196) :args (@t239 @t246 (@list @t227))) % 0.39/0.75 (step @p217 :rule bool-double-not-elim :args (@t228)) % 0.39/0.75 (step @p218 :rule nary_cong :premises (@p191 @p217) :args ((or @t231 (not @t229)))) % 0.39/0.75 (step @p219 :rule cnf_or_neg :args (@t231 2)) % 0.39/0.75 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.39/0.75 (step @p221 :rule reordering :premises (@p220) :args ((or @t228 @t231))) % 0.39/0.75 (step @p222 :rule chain_m_resolution :premises (@p221 @p189) :args (@t228 @t232 @t233)) % 0.39/0.75 (step @p223 :rule cnf_and_pos :args (@t236 1)) % 0.39/0.75 (step @p224 :rule reordering :premises (@p223) :args ((or @t229 @t247))) % 0.39/0.75 (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t247 @t246 (@list @t228))) % 0.39/0.75 (step @p226 :rule cnf_or_pos :args (@t239)) % 0.39/0.75 (step @p227 :rule reordering :premises (@p226) :args ((or @t238 @t236 (not @t239)))) % 0.39/0.75 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p216) :args (@t238 (@list true false) (@list @t236 @t239))) % 0.39/0.75 (step @p229 :rule and_elim :premises (@p93) :args (2)) % 0.39/0.75 (step @p230 :rule refl :args (@t248)) % 0.39/0.75 (step @p231 :rule nary_cong :premises (@p230 @p202) :args (@t249)) % 0.39/0.75 (step @p232 :rule refl :args (@t228)) % 0.39/0.75 (step @p233 :rule cong :premises (@p232 @p231) :args (@t250)) % 0.39/0.75 (step @p234 :rule refl :args (@t163)) % 0.39/0.75 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t163 @t250))) % 0.39/0.75 (assume-push @p270 @t163) % 0.39/0.75 (step @p237 :rule instantiate :premises (@p229) :args (@t245)) % 0.39/0.75 (step-pop @p271 :rule scope :premises (@p237)) % 0.39/0.75 (step @p238 :rule process_scope :premises (@p271) :args (@t250)) % 0.39/0.75 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 0.39/0.75 (step @p241 :rule implies_elim :premises (@p240)) % 0.39/0.75 (step @p242 :rule chain_m_resolution :premises (@p241 @p229) :args (@t252 @t246 (@list @t163))) % 0.39/0.75 (step @p243 :rule cnf_equiv_pos1 :args (@t252)) % 0.39/0.75 (step @p244 :rule reordering :premises (@p243) :args ((or @t229 @t251 (not @t252)))) % 0.39/0.75 (step @p245 :rule chain_m_resolution :premises (@p244 @p222 @p242) :args (@t251 (@list false false) (@list @t228 @t252))) % 0.39/0.75 (step @p246 :rule cnf_and_pos :args (@t251 0)) % 0.39/0.75 (step @p247 :rule reordering :premises (@p246) :args ((or @t248 (not @t251)))) % 0.39/0.75 (step @p248 :rule chain_m_resolution :premises (@p247 @p245) :args (@t248 @t246 (@list @t251))) % 0.39/0.75 (step @p249 :rule refl :args (@t253)) % 0.39/0.75 (step @p250 :rule bool-double-not-elim :args (@t237)) % 0.39/0.75 (step @p251 :rule refl :args (@t255)) % 0.39/0.75 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args ((or @t255 (not @t238) @t253))) % 0.39/0.75 (assume-push @p272 @t254) % 0.39/0.75 (assume-push @p273 @t238) % 0.39/0.75 (step @p255 :rule false_intro :premises (@p228)) % 0.39/0.75 (step @p256 :rule refl :args (@t225)) % 0.39/0.75 (step @p257 :rule cong :premises (@p256 @p98) :args (@t248)) % 0.39/0.75 (step @p258 :rule trans :premises (@p257 @p255)) % 0.39/0.75 (step @p259 :rule false_elim :premises (@p258)) % 0.39/0.75 (step-pop @p274 :rule scope :premises (@p259)) % 0.39/0.75 (step-pop @p275 :rule scope :premises (@p274)) % 0.39/0.75 (step @p260 :rule process_scope :premises (@p275) :args (@t253)) % 0.39/0.75 (step @p263 :rule implies_elim :premises (@p260)) % 0.39/0.75 (step @p264 :rule cnf_and_neg :args (@t256)) % 0.39/0.75 (step @p265 :rule resolution :premises (@p264 @p263) :args (true @t256)) % 0.39/0.75 (step @p266 :rule eq_resolve :premises (@p265 @p252)) % 0.39/0.75 (step @p267 false :rule chain_m_resolution :premises (@p266 @p248 @p228 @p99) :args (false (@list false true false) (@list @t248 @t237 @t254))) % 0.39/0.75 ) % 0.39/0.75 % SZS output end Proof % 0.39/0.75 % cvc5 exiting %------------------------------------------------------------------------------