%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM592+1 : 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 : n002.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 08:39:56 AM UTC 2026 % Result : Theorem 0.36s 0.85s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM592+1 : 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 : n002.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 11:34:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.85 % SZS status Theorem % 0.36/0.85 % SZS output start Proof % 0.36/0.85 ( % 0.36/0.85 (declare-sort $$unsorted 0) % 0.36/0.85 (declare-const tptp.xX $$unsorted) % 0.36/0.85 (declare-const tptp.xu $$unsorted) % 0.36/0.85 (declare-const tptp.xC $$unsorted) % 0.36/0.85 (declare-const tptp.xN $$unsorted) % 0.36/0.85 (declare-const tptp.sz00 $$unsorted) % 0.36/0.85 (declare-const tptp.xc $$unsorted) % 0.36/0.85 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.szNzAzT0 $$unsorted) % 0.36/0.85 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.xk $$unsorted) % 0.36/0.85 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.xi $$unsorted) % 0.36/0.85 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.xd $$unsorted) % 0.36/0.85 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.85 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.xK $$unsorted) % 0.36/0.85 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.xT $$unsorted) % 0.36/0.85 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.xS $$unsorted) % 0.36/0.85 (declare-const tptp.xY $$unsorted) % 0.36/0.85 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.slcrc0 $$unsorted) % 0.36/0.85 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.85 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.85 (define @t2 () (tptp.aSet0 @t1)) % 0.36/0.85 (define @t3 () (@list @t1)) % 0.36/0.85 (define @t4 () (tptp.aElement0 @t1)) % 0.36/0.85 (define @t5 () (@var "W1" $$unsorted)) % 0.36/0.85 (define @t6 () (tptp.aElement0 @t5)) % 0.36/0.85 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.36/0.85 (define @t8 () (@list @t5)) % 0.36/0.85 (define @t9 () (tptp.isFinite0 @t1)) % 0.36/0.85 (define @t10 () (= @t1 tptp.slcrc0)) % 0.36/0.85 (define @t11 () (tptp.isCountable0 @t1)) % 0.36/0.85 (define @t12 () (not @t9)) % 0.36/0.85 (define @t13 () (and @t2 @t11)) % 0.36/0.85 (define @t14 () (not @t10)) % 0.36/0.85 (define @t15 () (@var "W2" $$unsorted)) % 0.36/0.85 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.36/0.85 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.36/0.85 (define @t18 () (@list @t15)) % 0.36/0.85 (define @t19 () (tptp.aSet0 @t5)) % 0.36/0.85 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.36/0.85 (define @t21 () (tptp.isFinite0 @t5)) % 0.36/0.85 (define @t22 () (and @t2 @t9)) % 0.36/0.85 (define @t23 () (= @t1 @t5)) % 0.36/0.85 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.36/0.85 (define @t25 () (@list @t1 @t5)) % 0.36/0.85 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.36/0.85 (define @t27 () (tptp.aSet0 @t15)) % 0.36/0.85 (define @t28 () (@list @t1 @t5 @t15)) % 0.36/0.85 (define @t29 () (@var "W3" $$unsorted)) % 0.36/0.85 (define @t30 () (= @t29 @t5)) % 0.36/0.85 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.36/0.85 (define @t32 () (tptp.aElement0 @t29)) % 0.36/0.85 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.36/0.85 (define @t34 () (@list @t29)) % 0.36/0.85 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.36/0.85 (define @t36 () (and @t2 @t6)) % 0.36/0.85 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.36/0.85 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.36/0.85 (define @t39 () (tptp.isCountable0 @t5)) % 0.36/0.85 (define @t40 () (and @t19 @t39)) % 0.36/0.85 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.36/0.85 (define @t42 () (and @t19 @t21)) % 0.36/0.85 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 0.36/0.85 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.36/0.85 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 0.36/0.85 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.36/0.85 (define @t47 () (and @t44 @t46)) % 0.36/0.85 (define @t48 () (= @t1 tptp.sz00)) % 0.36/0.85 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.36/0.85 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.36/0.85 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.36/0.85 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.36/0.85 (define @t53 () (tptp.sbrdtbr0 @t1)) % 0.36/0.85 (define @t54 () (and @t2 @t46)) % 0.36/0.85 (define @t55 () (tptp.szmzizndt0 @t1)) % 0.36/0.85 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.36/0.85 (define @t57 () (tptp.szmzizndt0 @t5)) % 0.36/0.85 (define @t58 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.36/0.85 (define @t59 () (tptp.slbdtrb0 @t1)) % 0.36/0.85 (define @t60 () (tptp.slbdtrb0 @t5)) % 0.36/0.85 (define @t61 () (tptp.aSubsetOf0 @t29 @t1)) % 0.36/0.85 (define @t62 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.36/0.85 (define @t63 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.36/0.85 (define @t64 () (tptp.aFunction0 @t1)) % 0.36/0.85 (define @t65 () (tptp.szDzozmdt0 @t1)) % 0.36/0.85 (define @t66 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.36/0.85 (define @t67 () (tptp.aElementOf0 @t5 @t65)) % 0.36/0.85 (define @t68 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.36/0.85 (define @t69 () (tptp.aElementOf0 @t29 @t65)) % 0.36/0.85 (define @t70 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.36/0.85 (define @t71 () (and @t64 @t6)) % 0.36/0.85 (define @t72 () (@var "W4" $$unsorted)) % 0.36/0.85 (define @t73 () (@list @t72)) % 0.36/0.85 (define @t74 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.36/0.85 (define @t75 () (tptp.aSubsetOf0 @t5 @t65)) % 0.36/0.85 (define @t76 () (tptp.sdtlcdtrc0 @t1 @t65)) % 0.36/0.85 (define @t77 () (tptp.szDzozmdt0 @t15)) % 0.36/0.85 (define @t78 () (tptp.aFunction0 @t15)) % 0.36/0.85 (define @t79 () (tptp.szDzizrdt0 @t1)) % 0.36/0.85 (define @t80 () (tptp.szDzozmdt0 tptp.xc)) % 0.36/0.85 (define @t81 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.36/0.85 (define @t82 () (@var "W5" $$unsorted)) % 0.36/0.85 (define @t83 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 0.36/0.85 (define @t84 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.36/0.85 (define @t85 () (tptp.szmzizndt0 @t84)) % 0.36/0.85 (define @t86 () (tptp.sdtmndt0 @t84 @t85)) % 0.36/0.85 (define @t87 () (and (tptp.aSubsetOf0 @t84 tptp.szNzAzT0) (tptp.isCountable0 @t84))) % 0.36/0.85 (define @t88 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.36/0.85 (define @t89 () (tptp.sdtpldt0 @t5 @t85)) % 0.36/0.85 (define @t90 () (tptp.slbdtsldtrb0 @t86 tptp.xk)) % 0.36/0.85 (define @t91 () (and @t19 (tptp.aElementOf0 @t5 @t90))) % 0.36/0.85 (define @t92 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.36/0.85 (define @t93 () (tptp.szDzozmdt0 @t92)) % 0.36/0.85 (define @t94 () (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) % 0.36/0.85 (define @t95 () (and @t27 @t94)) % 0.36/0.85 (define @t96 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi)) % 0.36/0.85 (define @t97 () (= tptp.xd @t96)) % 0.36/0.85 (define @t98 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 0.36/0.85 (define @t99 () (tptp.sdtmndt0 @t98 (tptp.szmzizndt0 @t98))) % 0.36/0.85 (define @t100 () (tptp.szDzozmdt0 tptp.xd)) % 0.36/0.85 (define @t101 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.36/0.85 (define @t102 () (tptp.slbdtsldtrb0 tptp.xX tptp.xk)) % 0.36/0.85 (define @t103 () (tptp.aElementOf0 @t1 @t102)) % 0.36/0.85 (define @t104 () (and @t2 @t103)) % 0.36/0.85 (define @t105 () (=> @t104 (= @t101 tptp.xu))) % 0.36/0.85 (define @t106 () (forall @t3 @t105)) % 0.36/0.85 (define @t107 () (tptp.isCountable0 tptp.xX)) % 0.36/0.85 (define @t108 () (tptp.aElementOf0 tptp.xu tptp.xT)) % 0.36/0.85 (define @t109 () (tptp.sdtlpdtrp0 @t96 @t15)) % 0.36/0.85 (define @t110 () (=> @t95 (= @t109 @t1))) % 0.36/0.85 (define @t111 () (forall @t18 @t110)) % 0.36/0.85 (define @t112 () (tptp.aSubsetOf0 @t5 @t99)) % 0.36/0.85 (define @t113 () (and @t112 @t39 @t111)) % 0.36/0.85 (define @t114 () (exists @t8 @t113)) % 0.36/0.85 (define @t115 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.36/0.85 (define @t116 () (and @t115 @t114)) % 0.36/0.85 (define @t117 () (exists @t3 @t116)) % 0.36/0.85 (define @t118 () (not @t117)) % 0.36/0.85 (define @t119 () (= @t1 @t109)) % 0.36/0.85 (define @t120 () (@var "BOUND_VARIABLE_9489" $$unsorted)) % 0.36/0.85 (define @t121 () (not @t27)) % 0.36/0.85 (define @t122 () (not (forall @t18 (or @t121 (not (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t120 tptp.xk))) @t119)))) % 0.36/0.85 (define @t123 () (not (tptp.isCountable0 @t120))) % 0.36/0.85 (define @t124 () (not (tptp.aSubsetOf0 @t120 @t99))) % 0.36/0.85 (define @t125 () (not @t115)) % 0.36/0.85 (define @t126 () (or @t125 @t124 @t123 @t122)) % 0.36/0.85 (define @t127 () (@list @t1 @t120)) % 0.36/0.85 (define @t128 () (or @t124 @t123 @t122)) % 0.36/0.85 (define @t129 () (or @t125 @t128)) % 0.36/0.85 (define @t130 () (forall @t127 @t129)) % 0.36/0.85 (define @t131 () (@list @t120)) % 0.36/0.85 (define @t132 () (forall @t131 @t129)) % 0.36/0.85 (define @t133 () (forall @t131 @t128)) % 0.36/0.85 (define @t134 () (or @t125 @t133)) % 0.36/0.85 (define @t135 () (not @t94)) % 0.36/0.85 (define @t136 () (or @t121 @t135 @t119)) % 0.36/0.85 (define @t137 () (forall @t18 @t136)) % 0.36/0.85 (define @t138 () (not @t137)) % 0.36/0.85 (define @t139 () (not @t39)) % 0.36/0.85 (define @t140 () (not @t112)) % 0.36/0.85 (define @t141 () (or @t140 @t139 @t138)) % 0.36/0.85 (define @t142 () (forall @t8 @t141)) % 0.36/0.85 (define @t143 () (not @t142)) % 0.36/0.85 (define @t144 () (and @t115 @t143)) % 0.36/0.85 (define @t145 () (forall @t3 (not @t144))) % 0.36/0.85 (define @t146 () (not @t145)) % 0.36/0.85 (define @t147 () (and @t112 @t39 @t137)) % 0.36/0.85 (define @t148 () (forall @t8 (not @t147))) % 0.36/0.85 (define @t149 () (not @t148)) % 0.36/0.85 (define @t150 () (tptp.aSubsetOf0 tptp.xX @t99)) % 0.36/0.85 (define @t151 () (forall @t18 (or @t121 (not (tptp.aElementOf0 @t15 @t102)) (= tptp.xu @t109)))) % 0.36/0.85 (define @t152 () (not @t151)) % 0.36/0.85 (define @t153 () (not @t107)) % 0.36/0.85 (define @t154 () (not @t150)) % 0.36/0.85 (define @t155 () (not @t108)) % 0.36/0.85 (define @t156 () (or @t155 @t154 @t153 @t152)) % 0.36/0.85 (define @t157 () (@quantifiers_skolemize @t151 0)) % 0.36/0.85 (define @t158 () (= tptp.xu (tptp.sdtlpdtrp0 @t96 @t157))) % 0.36/0.85 (define @t159 () (tptp.aElementOf0 @t157 @t102)) % 0.36/0.85 (define @t160 () (not @t159)) % 0.36/0.85 (define @t161 () (tptp.aSet0 @t157)) % 0.36/0.85 (define @t162 () (not @t161)) % 0.36/0.85 (define @t163 () (or @t162 @t160 @t158)) % 0.36/0.85 (define @t164 () (not @t158)) % 0.36/0.85 (define @t165 () (@list true)) % 0.36/0.85 (define @t166 () (@list @t163)) % 0.36/0.85 (define @t167 () (= tptp.xu @t101)) % 0.36/0.85 (define @t168 () (not @t103)) % 0.36/0.85 (define @t169 () (not @t2)) % 0.36/0.85 (define @t170 () (tptp.sdtlpdtrp0 tptp.xd @t157)) % 0.36/0.85 (define @t171 () (= tptp.xu @t170)) % 0.36/0.85 (define @t172 () (or @t162 @t160 @t171)) % 0.36/0.85 (define @t173 () (not @t171)) % 0.36/0.85 (define @t174 () (not @t97)) % 0.36/0.85 (define @t175 () (and @t171 @t173)) % 0.36/0.85 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.85 (assume @p2 (forall @t3 (=> @t4 true))) % 0.36/0.85 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.36/0.85 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.36/0.85 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.36/0.85 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.36/0.85 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.36/0.85 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.36/0.85 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.36/0.85 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.36/0.85 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.36/0.85 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.36/0.85 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.36/0.85 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.36/0.85 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.36/0.85 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.36/0.85 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.36/0.85 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.36/0.85 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.36/0.85 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.36/0.85 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.36/0.85 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.36/0.85 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.36/0.85 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.36/0.85 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 0.36/0.85 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 0.36/0.85 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 0.36/0.85 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 0.36/0.85 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 0.36/0.85 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.36/0.85 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 0.36/0.85 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 0.36/0.85 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 0.36/0.85 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.36/0.85 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 0.36/0.85 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.36/0.85 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 0.36/0.85 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.36/0.85 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 0.36/0.85 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 0.36/0.85 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 0.36/0.85 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 0.36/0.85 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 0.36/0.85 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 0.36/0.85 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t53)))))) % 0.36/0.85 (assume @p46 (forall @t25 (=> @t54 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.36/0.85 (assume @p47 (forall @t3 (=> (and @t56 @t14) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 0.36/0.85 (assume @p48 (forall @t3 (=> (and @t56 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.36/0.85 (assume @p49 (forall @t25 (=> (and @t56 @t58 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 0.36/0.85 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t59) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.36/0.85 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t59)))) % 0.36/0.85 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.36/0.85 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t60) @t23))))) % 0.36/0.85 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t59 @t60))))) % 0.36/0.85 (assume @p55 (forall @t3 (=> (and @t56 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t60)))))) % 0.36/0.85 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t59) @t1)))) % 0.36/0.85 (assume @p57 (forall @t25 (=> @t54 (forall @t18 (= (= @t15 @t62) (and @t27 (forall @t34 (= @t33 (and @t61 (= (tptp.sbrdtbr0 @t29) @t5)))))))))) % 0.36/0.85 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t62)))))) % 0.36/0.85 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t62 tptp.slcrc0))))))) % 0.36/0.85 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t62)))))) % 0.36/0.85 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t63 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t63 tptp.slcrc0))) @t26)))))) % 0.36/0.85 (assume @p62 (forall @t25 (=> @t54 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t62) (tptp.isFinite0 @t15)) (exists @t34 (and @t61 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.36/0.85 (assume @p63 (forall @t3 (=> @t64 true))) % 0.36/0.85 (assume @p64 (forall @t3 (=> @t64 (tptp.aSet0 @t65)))) % 0.36/0.85 (assume @p65 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElement0 @t66)))))) % 0.36/0.85 (assume @p66 (forall @t25 (=> @t71 (forall @t18 (= (= @t15 @t70) (and @t27 (forall @t34 (= @t33 (and @t69 (= @t68 @t5)))))))))) % 0.36/0.85 (assume @p67 (forall @t25 (=> @t71 (tptp.aSubsetOf0 @t70 @t65)))) % 0.36/0.85 (assume @p68 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (exists @t73 (and (tptp.aElementOf0 @t72 @t5) (= (tptp.sdtlpdtrp0 @t1 @t72) @t29))))))))))))) % 0.36/0.85 (assume @p69 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElementOf0 @t66 @t76)))))) % 0.36/0.85 (assume @p70 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t78 (= @t77 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t68))))))))))) % 0.36/0.85 (assume @p71 (forall @t3 (=> @t64 (forall @t8 (=> (and @t75 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t65) @t69 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t68)))) (tptp.isCountable0 @t74))))))) % 0.36/0.85 (assume @p72 (forall @t3 (=> @t64 (=> (and (tptp.isCountable0 @t65) (tptp.isFinite0 @t76)) (and (tptp.aElement0 @t79) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t79))))))) % 0.36/0.85 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.36/0.85 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.36/0.85 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.36/0.85 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t80 @t81) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t80) tptp.xT))) % 0.36/0.85 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and @t58 @t39) (forall @t18 (=> (and @t78 (= @t77 @t63) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t77) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and (tptp.aElementOf0 @t29 tptp.xT) (exists @t73 (and (tptp.aSubsetOf0 @t72 @t5) (tptp.isCountable0 @t72) (forall (@list @t82) (=> (tptp.aElementOf0 @t82 (tptp.slbdtsldtrb0 @t72 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t82) @t29))))))))))))))) % 0.36/0.85 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.36/0.85 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.36/0.85 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> @t87 (and (tptp.aSubsetOf0 @t83 @t86) (tptp.isCountable0 @t83))))))) % 0.36/0.85 (assume @p81 (forall @t3 (=> @t44 @t87))) % 0.36/0.85 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (tptp.aSubsetOf0 @t84 @t88))))) % 0.36/0.85 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (= @t85 (tptp.szmzizndt0 @t88)))))) % 0.36/0.85 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t91 (tptp.aElementOf0 @t89 @t81)))))) % 0.36/0.85 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t92) (= @t93 @t90) (forall @t8 (=> @t91 (= (tptp.sdtlpdtrp0 @t92 @t5) (tptp.sdtlpdtrp0 tptp.xc @t89))))))))) % 0.36/0.85 (assume @p86 (forall @t3 (=> @t44 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t92 @t93) tptp.xT)))) % 0.36/0.85 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t86) @t39) (forall @t18 (=> @t95 (tptp.aElementOf0 @t15 @t90)))))))) % 0.36/0.85 (assume @p88 (tptp.iLess0 tptp.xk tptp.xK)) % 0.36/0.85 (assume @p89 (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 0.36/0.85 (assume @p90 (and (= tptp.xY @t99) @t97)) % 0.36/0.85 (assume @p91 (and (tptp.aSubsetOf0 tptp.xY tptp.szNzAzT0) (tptp.isCountable0 tptp.xY) (tptp.aFunction0 tptp.xd) (= @t100 (tptp.slbdtsldtrb0 tptp.xY tptp.xk)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t100) tptp.xT))) % 0.36/0.85 (assume @p92 (and @t108 (tptp.aSubsetOf0 tptp.xX tptp.xY) @t107 @t106)) % 0.36/0.85 (assume @p93 @t118) % 0.36/0.85 (assume @p94 true) % 0.36/0.85 (step @p95 :rule and_elim :premises (@p90) :args (1)) % 0.36/0.85 (step @p96 :rule bool-double-not-elim :args ((forall @t127 @t126))) % 0.36/0.85 (step @p97 :rule aci_norm :args ((= @t129 @t126))) % 0.36/0.85 (step @p98 :rule cong :premises (@p97) :args (@t130)) % 0.36/0.85 (step @p99 :rule quant-merge-prenex :args ((= (forall @t3 @t132) @t130))) % 0.36/0.85 (step @p100 :rule alpha_equiv :args (@t133 (@list @t120) (@list @t5))) % 0.36/0.85 (step @p101 :rule refl :args (@t125)) % 0.36/0.85 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t134)) % 0.36/0.85 (step @p103 :rule quant-miniscope-or :args ((= @t132 @t134))) % 0.36/0.85 (step @p104 :rule trans :premises (@p103 @p102)) % 0.36/0.85 (step @p105 :rule symm :premises (@p104)) % 0.36/0.85 (step @p106 :rule cong :premises (@p105) :args ((forall @t3 (or @t125 @t142)))) % 0.36/0.85 (step @p107 :rule trans :premises (@p106 @p99)) % 0.36/0.85 (step @p108 :rule trans :premises (@p107 @p98)) % 0.36/0.85 (step @p109 :rule bool-double-not-elim :args (@t142)) % 0.36/0.85 (step @p110 :rule nary_cong :premises (@p101 @p109) :args ((or @t125 (not @t143)))) % 0.36/0.85 (step @p111 :rule bool-and-de-morgan :args (@t115 @t143 true)) % 0.36/0.85 (step @p112 :rule trans :premises (@p111 @p110)) % 0.36/0.85 (step @p113 :rule cong :premises (@p112) :args (@t145)) % 0.36/0.85 (step @p114 :rule trans :premises (@p113 @p108)) % 0.36/0.85 (step @p115 :rule cong :premises (@p114) :args (@t146)) % 0.36/0.85 (step @p116 :rule exists-elim :args ((= (exists @t3 @t144) @t146))) % 0.36/0.85 (step @p117 :rule trans :premises (@p116 @p115)) % 0.36/0.85 (step @p118 :rule aci_norm :args ((= (or @t140 (or @t139 @t138)) @t141))) % 0.36/0.85 (step @p119 :rule bool-and-de-morgan :args (@t39 @t137 true)) % 0.36/0.85 (step @p120 :rule refl :args (@t140)) % 0.36/0.85 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t140 (not (and @t39 @t137))))) % 0.36/0.85 (step @p122 :rule bool-and-de-morgan :args (@t112 @t39 (and @t137))) % 0.36/0.85 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.85 (step @p124 :rule trans :premises (@p123 @p118)) % 0.36/0.85 (step @p125 :rule cong :premises (@p124) :args (@t148)) % 0.36/0.85 (step @p126 :rule cong :premises (@p125) :args (@t149)) % 0.36/0.85 (step @p127 :rule exists-elim :args ((= (exists @t8 @t147) @t149))) % 0.36/0.85 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.85 (step @p129 :rule aci_norm :args ((= (or (or @t121 @t135) @t119) @t136))) % 0.36/0.85 (step @p130 :rule refl :args (@t119)) % 0.36/0.85 (step @p131 :rule bool-and-de-morgan :args (@t27 @t94 true)) % 0.36/0.85 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t95) @t119))) % 0.36/0.85 (step @p133 :rule trans :premises (@p132 @p129)) % 0.36/0.85 (step @p134 :rule bool-impl-elim :args (@t95 @t119)) % 0.36/0.85 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.85 (step @p136 :rule cong :premises (@p135) :args ((forall @t18 (=> @t95 @t119)))) % 0.36/0.85 (step @p137 :rule eq-symm :args (@t109 @t1)) % 0.36/0.85 (step @p138 :rule refl :args (@t95)) % 0.36/0.85 (step @p139 :rule cong :premises (@p138 @p137) :args (@t110)) % 0.36/0.85 (step @p140 :rule cong :premises (@p139) :args (@t111)) % 0.36/0.85 (step @p141 :rule trans :premises (@p140 @p136)) % 0.36/0.85 (step @p142 :rule refl :args (@t39)) % 0.36/0.85 (step @p143 :rule refl :args (@t112)) % 0.36/0.85 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args (@t113)) % 0.36/0.85 (step @p145 :rule cong :premises (@p144) :args (@t114)) % 0.36/0.85 (step @p146 :rule trans :premises (@p145 @p128)) % 0.36/0.85 (step @p147 :rule refl :args (@t115)) % 0.36/0.85 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t116)) % 0.36/0.85 (step @p149 :rule cong :premises (@p148) :args (@t117)) % 0.36/0.85 (step @p150 :rule trans :premises (@p149 @p117)) % 0.36/0.85 (step @p151 :rule cong :premises (@p150) :args (@t118)) % 0.36/0.85 (step @p152 :rule trans :premises (@p151 @p96)) % 0.36/0.85 (step @p153 :rule eq_resolve :premises (@p93 @p152)) % 0.36/0.85 (step @p154 :rule instantiate :premises (@p153) :args ((@list tptp.xu tptp.xX))) % 0.36/0.85 (step @p155 :rule and_elim :premises (@p92) :args (1)) % 0.36/0.85 (step @p156 :rule true_intro :premises (@p155)) % 0.36/0.85 (step @p157 :rule and_elim :premises (@p90) :args (0)) % 0.36/0.85 (step @p158 :rule symm :premises (@p157)) % 0.36/0.85 (step @p159 :rule refl :args (tptp.xX)) % 0.36/0.85 (step @p160 :rule cong :premises (@p159 @p158) :args (@t150)) % 0.36/0.85 (step @p161 :rule trans :premises (@p160 @p156)) % 0.36/0.85 (step @p162 :rule true_elim :premises (@p161)) % 0.36/0.85 (step @p163 :rule and_elim :premises (@p92) :args (2)) % 0.36/0.85 (step @p164 :rule and_elim :premises (@p92) :args (0)) % 0.36/0.85 (step @p165 :rule cnf_or_pos :args (@t156)) % 0.36/0.85 (step @p166 :rule reordering :premises (@p165) :args ((or @t155 @t153 @t154 @t152 (not @t156)))) % 0.36/0.85 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p163 @p162 @p154) :args (@t152 (@list false false false false) (@list @t108 @t107 @t150 @t156))) % 0.36/0.85 (step @p168 :rule skolemize :premises (@p167)) % 0.36/0.85 (step @p169 :rule cnf_or_neg :args (@t163 2)) % 0.36/0.85 (step @p170 :rule chain_m_resolution :premises (@p169 @p168) :args (@t164 @t165 @t166)) % 0.36/0.85 (step @p171 :rule aci_norm :args ((= (or (or @t169 @t168) @t167) (or @t169 @t168 @t167)))) % 0.36/0.85 (step @p172 :rule refl :args (@t167)) % 0.36/0.85 (step @p173 :rule bool-and-de-morgan :args (@t2 @t103 true)) % 0.36/0.85 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t104) @t167))) % 0.36/0.85 (step @p175 :rule trans :premises (@p174 @p171)) % 0.36/0.85 (step @p176 :rule bool-impl-elim :args (@t104 @t167)) % 0.36/0.85 (step @p177 :rule trans :premises (@p176 @p175)) % 0.36/0.85 (step @p178 :rule cong :premises (@p177) :args ((forall @t3 (=> @t104 @t167)))) % 0.36/0.85 (step @p179 :rule eq-symm :args (@t101 tptp.xu)) % 0.36/0.85 (step @p180 :rule refl :args (@t104)) % 0.36/0.85 (step @p181 :rule cong :premises (@p180 @p179) :args (@t105)) % 0.36/0.85 (step @p182 :rule cong :premises (@p181) :args (@t106)) % 0.36/0.85 (step @p183 :rule trans :premises (@p182 @p178)) % 0.36/0.85 (step @p184 :rule and_elim :premises (@p92) :args (3)) % 0.36/0.85 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.36/0.85 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t157))) % 0.36/0.85 (step @p187 :rule bool-double-not-elim :args (@t159)) % 0.36/0.85 (step @p188 :rule refl :args (@t163)) % 0.36/0.85 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t163 (not @t160)))) % 0.36/0.85 (step @p190 :rule cnf_or_neg :args (@t163 1)) % 0.36/0.85 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.36/0.85 (step @p192 :rule reordering :premises (@p191) :args ((or @t159 @t163))) % 0.36/0.85 (step @p193 :rule chain_m_resolution :premises (@p192 @p168) :args (@t159 @t165 @t166)) % 0.36/0.85 (step @p194 :rule bool-double-not-elim :args (@t161)) % 0.36/0.85 (step @p195 :rule nary_cong :premises (@p188 @p194) :args ((or @t163 (not @t162)))) % 0.36/0.85 (step @p196 :rule cnf_or_neg :args (@t163 0)) % 0.36/0.85 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.36/0.85 (step @p198 :rule reordering :premises (@p197) :args ((or @t161 @t163))) % 0.36/0.85 (step @p199 :rule chain_m_resolution :premises (@p198 @p168) :args (@t161 @t165 @t166)) % 0.36/0.86 (step @p200 :rule cnf_or_pos :args (@t172)) % 0.36/0.86 (step @p201 :rule reordering :premises (@p200) :args ((or @t162 @t160 @t171 (not @t172)))) % 0.36/0.86 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p193 @p186) :args (@t171 (@list false false false) (@list @t161 @t159 @t172))) % 0.36/0.86 (step @p203 :rule refl :args (@t173)) % 0.36/0.86 (step @p204 :rule bool-double-not-elim :args (@t158)) % 0.36/0.86 (step @p205 :rule refl :args (@t174)) % 0.36/0.86 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203) :args ((or @t174 (not @t164) @t173))) % 0.36/0.86 (assume-push @p238 @t171) % 0.36/0.86 (assume-push @p239 @t173) % 0.36/0.86 (step @p209 :rule evaluate :args ((= false true))) % 0.36/0.86 (step @p210 :rule true_intro :premises (@p202)) % 0.36/0.86 (step @p211 :rule false_intro :premises (@p170)) % 0.36/0.86 (step @p212 :rule refl :args (@t157)) % 0.36/0.86 (step @p213 :rule cong :premises (@p95 @p212) :args (@t170)) % 0.36/0.86 (step @p214 :rule refl :args (tptp.xu)) % 0.36/0.86 (step @p215 :rule cong :premises (@p214 @p213) :args (@t171)) % 0.36/0.86 (step @p216 :rule trans :premises (@p215 @p211)) % 0.36/0.86 (step @p217 :rule symm :premises (@p216)) % 0.36/0.86 (step @p218 :rule trans :premises (@p217 @p210)) % 0.36/0.86 (step @p219 false :rule eq_resolve :premises (@p218 @p209)) % 0.36/0.86 (step-pop @p240 :rule scope :premises (@p219)) % 0.36/0.86 (step-pop @p241 :rule scope :premises (@p240)) % 0.36/0.86 (step @p220 :rule process_scope :premises (@p241) :args (false)) % 0.36/0.86 (assume-push @p242 @t97) % 0.36/0.86 (assume-push @p243 @t164) % 0.36/0.86 (assume-push @p244 @t171) % 0.36/0.86 (step @p211 :rule false_intro :premises (@p170)) % 0.36/0.86 (step @p212 :rule refl :args (@t157)) % 0.36/0.86 (step @p213 :rule cong :premises (@p95 @p212) :args (@t170)) % 0.36/0.86 (step @p214 :rule refl :args (tptp.xu)) % 0.36/0.86 (step @p215 :rule cong :premises (@p214 @p213) :args (@t171)) % 0.36/0.86 (step @p226 :rule trans :premises (@p215 @p211)) % 0.36/0.86 (step @p227 :rule false_elim :premises (@p226)) % 0.36/0.86 (step @p228 :rule and_intro :premises (@p202 @p227)) % 0.36/0.86 (step-pop @p245 :rule scope :premises (@p228)) % 0.36/0.86 (step-pop @p246 :rule scope :premises (@p245)) % 0.36/0.86 (step-pop @p247 :rule scope :premises (@p246)) % 0.36/0.86 (step @p229 :rule process_scope :premises (@p247) :args (@t175)) % 0.36/0.86 (step @p233 :rule implies_elim :premises (@p229)) % 0.36/0.86 (step @p234 :rule resolution :premises (@p233 @p220) :args (true @t175)) % 0.36/0.86 (step @p235 :rule not_and :premises (@p234)) % 0.36/0.86 (step @p236 :rule eq_resolve :premises (@p235 @p206)) % 0.36/0.86 (step @p237 false :rule chain_m_resolution :premises (@p236 @p202 @p170 @p95) :args (false (@list false true false) (@list @t171 @t158 @t97))) % 0.36/0.86 ) % 0.36/0.86 % SZS output end Proof % 0.36/0.86 % cvc5 exiting %------------------------------------------------------------------------------