%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM574+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 : n015.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 08:39:53 AM UTC 2026 % Result : Theorem 0.37s 0.71s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM574+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:31:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.71 % SZS status Theorem % 0.37/0.71 % SZS output start Proof % 0.37/0.71 ( % 0.37/0.71 (declare-sort $$unsorted 0) % 0.37/0.71 (declare-const tptp.xN $$unsorted) % 0.37/0.71 (declare-const tptp.sz00 $$unsorted) % 0.37/0.71 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.szNzAzT0 $$unsorted) % 0.37/0.71 (declare-const tptp.xk $$unsorted) % 0.37/0.71 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.xj $$unsorted) % 0.37/0.71 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.xi $$unsorted) % 0.37/0.71 (declare-const tptp.xK $$unsorted) % 0.37/0.71 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.xT $$unsorted) % 0.37/0.71 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.xS $$unsorted) % 0.37/0.71 (declare-const tptp.xc $$unsorted) % 0.37/0.71 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.slcrc0 $$unsorted) % 0.37/0.71 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.71 (define @t2 () (tptp.aSet0 @t1)) % 0.37/0.71 (define @t3 () (@list @t1)) % 0.37/0.71 (define @t4 () (tptp.aElement0 @t1)) % 0.37/0.71 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.71 (define @t6 () (tptp.aElement0 @t5)) % 0.37/0.71 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.37/0.71 (define @t8 () (@list @t5)) % 0.37/0.71 (define @t9 () (tptp.isFinite0 @t1)) % 0.37/0.71 (define @t10 () (= @t1 tptp.slcrc0)) % 0.37/0.71 (define @t11 () (tptp.isCountable0 @t1)) % 0.37/0.71 (define @t12 () (not @t9)) % 0.37/0.71 (define @t13 () (and @t2 @t11)) % 0.37/0.71 (define @t14 () (not @t10)) % 0.37/0.71 (define @t15 () (@var "W2" $$unsorted)) % 0.37/0.71 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.37/0.71 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.37/0.71 (define @t18 () (@list @t15)) % 0.37/0.71 (define @t19 () (tptp.aSet0 @t5)) % 0.37/0.71 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.37/0.71 (define @t21 () (tptp.isFinite0 @t5)) % 0.37/0.71 (define @t22 () (and @t2 @t9)) % 0.37/0.71 (define @t23 () (= @t1 @t5)) % 0.37/0.71 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.37/0.71 (define @t25 () (@list @t1 @t5)) % 0.37/0.71 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.37/0.71 (define @t27 () (tptp.aSet0 @t15)) % 0.37/0.71 (define @t28 () (@list @t1 @t5 @t15)) % 0.37/0.71 (define @t29 () (@var "W3" $$unsorted)) % 0.37/0.71 (define @t30 () (= @t29 @t5)) % 0.37/0.71 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.37/0.71 (define @t32 () (tptp.aElement0 @t29)) % 0.37/0.71 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.37/0.71 (define @t34 () (@list @t29)) % 0.37/0.71 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.71 (define @t36 () (and @t2 @t6)) % 0.37/0.71 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.37/0.71 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.37/0.71 (define @t39 () (tptp.isCountable0 @t5)) % 0.37/0.71 (define @t40 () (and @t19 @t39)) % 0.37/0.71 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.37/0.71 (define @t42 () (and @t19 @t21)) % 0.37/0.71 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 0.37/0.71 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.37/0.71 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 0.37/0.71 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.37/0.71 (define @t47 () (and @t44 @t46)) % 0.37/0.71 (define @t48 () (= @t1 @t45)) % 0.37/0.71 (define @t49 () (and @t46 @t48)) % 0.37/0.71 (define @t50 () (exists @t8 @t49)) % 0.37/0.71 (define @t51 () (= @t1 tptp.sz00)) % 0.37/0.71 (define @t52 () (or @t51 @t50)) % 0.37/0.71 (define @t53 () (=> @t44 @t52)) % 0.37/0.71 (define @t54 () (forall @t3 @t53)) % 0.37/0.71 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.71 (define @t56 () (tptp.sdtlseqdt0 tptp.sz00 @t1)) % 0.37/0.71 (define @t57 () (forall @t3 (=> @t44 @t56))) % 0.37/0.71 (define @t58 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.71 (define @t59 () (and @t55 @t58)) % 0.37/0.71 (define @t60 () (=> @t59 @t23)) % 0.37/0.71 (define @t61 () (forall @t25 (=> @t47 @t60))) % 0.37/0.71 (define @t62 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.37/0.71 (define @t63 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.37/0.71 (define @t64 () (tptp.sbrdtbr0 @t1)) % 0.37/0.71 (define @t65 () (and @t2 @t46)) % 0.37/0.71 (define @t66 () (tptp.szmzizndt0 @t1)) % 0.37/0.71 (define @t67 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.37/0.71 (define @t68 () (tptp.szmzizndt0 @t5)) % 0.37/0.71 (define @t69 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.37/0.71 (define @t70 () (tptp.slbdtrb0 @t1)) % 0.37/0.71 (define @t71 () (tptp.slbdtrb0 @t5)) % 0.37/0.71 (define @t72 () (tptp.sbrdtbr0 @t29)) % 0.37/0.71 (define @t73 () (tptp.aSubsetOf0 @t29 @t1)) % 0.37/0.71 (define @t74 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.37/0.71 (define @t75 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.37/0.71 (define @t76 () (tptp.aFunction0 @t1)) % 0.37/0.71 (define @t77 () (tptp.szDzozmdt0 @t1)) % 0.37/0.71 (define @t78 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.37/0.71 (define @t79 () (tptp.aElementOf0 @t5 @t77)) % 0.37/0.71 (define @t80 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.37/0.71 (define @t81 () (tptp.aElementOf0 @t29 @t77)) % 0.37/0.71 (define @t82 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.37/0.71 (define @t83 () (and @t76 @t6)) % 0.37/0.71 (define @t84 () (@var "W4" $$unsorted)) % 0.37/0.71 (define @t85 () (tptp.aElementOf0 @t84 @t5)) % 0.37/0.71 (define @t86 () (@list @t84)) % 0.37/0.71 (define @t87 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.37/0.71 (define @t88 () (tptp.aSubsetOf0 @t5 @t77)) % 0.37/0.71 (define @t89 () (tptp.sdtlcdtrc0 @t1 @t77)) % 0.37/0.71 (define @t90 () (tptp.szDzozmdt0 @t15)) % 0.37/0.71 (define @t91 () (tptp.aFunction0 @t15)) % 0.37/0.71 (define @t92 () (tptp.szDzizrdt0 @t1)) % 0.37/0.71 (define @t93 () (tptp.szDzozmdt0 tptp.xc)) % 0.37/0.71 (define @t94 () (tptp.sdtlcdtrc0 tptp.xc @t93)) % 0.37/0.71 (define @t95 () (tptp.aElementOf0 @t1 @t94)) % 0.37/0.71 (define @t96 () (tptp.aElementOf0 @t1 @t93)) % 0.37/0.71 (define @t97 () (= @t64 tptp.xK)) % 0.37/0.71 (define @t98 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.37/0.71 (define @t99 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.37/0.71 (define @t100 () (@var "W5" $$unsorted)) % 0.37/0.71 (define @t101 () (@var "W6" $$unsorted)) % 0.37/0.71 (define @t102 () (@list @t100)) % 0.37/0.71 (define @t103 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.37/0.71 (define @t104 () (tptp.sdtlcdtrc0 @t15 @t90)) % 0.37/0.71 (define @t105 () (tptp.aElementOf0 @t29 @t104)) % 0.37/0.71 (define @t106 () (tptp.aElementOf0 @t29 @t90)) % 0.37/0.71 (define @t107 () (= @t72 @t1)) % 0.37/0.71 (define @t108 () (tptp.aSubsetOf0 @t29 @t5)) % 0.37/0.71 (define @t109 () (forall @t86 (=> (tptp.aElementOf0 @t84 @t29) @t85))) % 0.37/0.71 (define @t110 () (tptp.aSet0 @t29)) % 0.37/0.71 (define @t111 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 0.37/0.71 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.37/0.71 (define @t113 () (tptp.szmzizndt0 @t112)) % 0.37/0.71 (define @t114 () (tptp.sdtmndt0 @t112 @t113)) % 0.37/0.71 (define @t115 () (tptp.aElementOf0 @t5 @t114)) % 0.37/0.71 (define @t116 () (tptp.aElementOf0 @t5 @t112)) % 0.37/0.71 (define @t117 () (tptp.isCountable0 @t112)) % 0.37/0.71 (define @t118 () (tptp.aSubsetOf0 @t112 tptp.szNzAzT0)) % 0.37/0.71 (define @t119 () (forall @t8 (=> @t116 @t46))) % 0.37/0.71 (define @t120 () (tptp.aSet0 @t112)) % 0.37/0.71 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 0.37/0.71 (define @t122 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 0.37/0.71 (define @t123 () (tptp.aElementOf0 tptp.xj tptp.szNzAzT0)) % 0.37/0.71 (define @t124 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.37/0.71 (define @t125 () (tptp.sdtlpdtrp0 tptp.xN tptp.xj)) % 0.37/0.71 (define @t126 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 0.37/0.71 (define @t127 () (tptp.aSubsetOf0 @t126 @t125)) % 0.37/0.71 (define @t128 () (tptp.aElementOf0 @t1 @t125)) % 0.37/0.71 (define @t129 () (tptp.aElementOf0 @t1 @t126)) % 0.37/0.71 (define @t130 () (forall @t3 (=> @t129 @t128))) % 0.37/0.71 (define @t131 () (and @t130 @t127)) % 0.37/0.71 (define @t132 () (tptp.sdtlseqdt0 tptp.xj tptp.xi)) % 0.37/0.71 (define @t133 () (=> @t132 @t131)) % 0.37/0.71 (define @t134 () (= @t43 tptp.xi)) % 0.37/0.71 (define @t135 () (and @t44 @t134)) % 0.37/0.71 (define @t136 () (exists @t3 @t135)) % 0.37/0.71 (define @t137 () (and @t132 @t136)) % 0.37/0.71 (define @t138 () (=> @t137 @t133)) % 0.37/0.71 (define @t139 () (or @t130 @t127)) % 0.37/0.71 (define @t140 () (=> @t132 @t139)) % 0.37/0.71 (define @t141 () (not @t140)) % 0.37/0.71 (define @t142 () (forall @t3 (or (not @t129) @t128))) % 0.37/0.71 (define @t143 () (@quantifiers_skolemize @t142 0)) % 0.37/0.71 (define @t144 () (tptp.aElementOf0 @t143 @t126)) % 0.37/0.71 (define @t145 () (tptp.aElementOf0 @t143 @t125)) % 0.37/0.71 (define @t146 () (not @t144)) % 0.37/0.71 (define @t147 () (or @t146 @t145)) % 0.37/0.71 (define @t148 () (@list true)) % 0.37/0.71 (define @t149 () (@list @t147)) % 0.37/0.71 (define @t150 () (not @t46)) % 0.37/0.71 (define @t151 () (not (forall @t8 (or @t150 (not @t48))))) % 0.37/0.71 (define @t152 () (not @t44)) % 0.37/0.71 (define @t153 () (or @t152 @t51 @t151)) % 0.37/0.71 (define @t154 () (or @t51 @t151)) % 0.37/0.71 (define @t155 () (forall @t8 (not @t49))) % 0.37/0.71 (define @t156 () (not @t155)) % 0.37/0.71 (define @t157 () (not (= tptp.xi @t45))) % 0.37/0.71 (define @t158 () (or @t150 @t157)) % 0.37/0.71 (define @t159 () (forall @t8 @t158)) % 0.37/0.71 (define @t160 () (not @t159)) % 0.37/0.71 (define @t161 () (not @t122)) % 0.37/0.71 (define @t162 () (or @t161 (= tptp.xi tptp.sz00) @t160)) % 0.37/0.71 (define @t163 () (forall @t3 @t153)) % 0.37/0.71 (define @t164 () (forall @t8 (or @t150 (not (= @t45 tptp.xi))))) % 0.37/0.71 (define @t165 () (not @t164)) % 0.37/0.71 (define @t166 () (= tptp.sz00 tptp.xi)) % 0.37/0.71 (define @t167 () (or @t161 @t166 @t165)) % 0.37/0.71 (define @t168 () (@list false)) % 0.37/0.71 (define @t169 () (and @t142 @t127)) % 0.37/0.71 (define @t170 () (not @t169)) % 0.37/0.71 (define @t171 () (=> @t132 @t169)) % 0.37/0.71 (define @t172 () (not @t171)) % 0.37/0.71 (define @t173 () (not @t132)) % 0.37/0.71 (define @t174 () (@list true false)) % 0.37/0.71 (define @t175 () (forall @t3 (not @t135))) % 0.37/0.71 (define @t176 () (not @t175)) % 0.37/0.71 (define @t177 () (forall @t3 (or @t152 (not @t134)))) % 0.37/0.71 (define @t178 () (not @t177)) % 0.37/0.71 (define @t179 () (and @t132 @t178)) % 0.37/0.71 (define @t180 () (not @t179)) % 0.37/0.71 (define @t181 () (not @t58)) % 0.37/0.71 (define @t182 () (not @t55)) % 0.37/0.71 (define @t183 () (or @t182 @t181 @t23)) % 0.37/0.71 (define @t184 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xj)) % 0.37/0.71 (define @t185 () (not @t123)) % 0.37/0.71 (define @t186 () (or @t185 @t184)) % 0.37/0.71 (define @t187 () (tptp.sdtlseqdt0 tptp.xi tptp.xj)) % 0.37/0.71 (define @t188 () (= tptp.xj tptp.xi)) % 0.37/0.71 (define @t189 () (not @t187)) % 0.37/0.71 (define @t190 () (or @t185 @t161 @t173 @t189 @t188)) % 0.37/0.71 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.71 (assume @p2 (forall @t3 (=> @t4 true))) % 0.37/0.71 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.37/0.71 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.37/0.71 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.37/0.71 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.37/0.71 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.37/0.71 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.37/0.71 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.37/0.71 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.37/0.71 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.37/0.71 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.37/0.71 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.37/0.71 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.37/0.71 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.37/0.71 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.37/0.71 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.37/0.71 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.37/0.71 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.37/0.71 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.37/0.71 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.37/0.71 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.37/0.71 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.37/0.71 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.37/0.71 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 0.37/0.71 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 0.37/0.71 (assume @p27 @t54) % 0.37/0.71 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 0.37/0.71 (assume @p29 (forall @t25 (=> @t47 (=> @t55 true)))) % 0.37/0.71 (assume @p30 @t57) % 0.37/0.71 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 0.37/0.71 (assume @p32 (forall @t25 (=> @t47 (= @t55 (tptp.sdtlseqdt0 @t43 @t45))))) % 0.37/0.71 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 0.37/0.71 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.71 (assume @p35 @t61) % 0.37/0.71 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t63) (=> (and @t55 @t62) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.37/0.71 (assume @p37 (forall @t25 (=> @t47 (or @t55 (tptp.sdtlseqdt0 @t45 @t1))))) % 0.37/0.71 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.37/0.71 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 0.37/0.71 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t64)))) % 0.37/0.71 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t64 tptp.szNzAzT0) @t9)))) % 0.37/0.71 (assume @p42 (forall @t3 (=> @t2 (= (= @t64 tptp.sz00) @t10)))) % 0.37/0.71 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t64)))))))) % 0.37/0.71 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t64)))))) % 0.37/0.71 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t64)))))) % 0.37/0.71 (assume @p46 (forall @t25 (=> @t65 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t64)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.37/0.71 (assume @p47 (forall @t3 (=> (and @t67 @t14) (forall @t8 (= (= @t5 @t66) (and @t7 (forall @t18 (=> @t16 @t62)))))))) % 0.37/0.71 (assume @p48 (forall @t3 (=> (and @t67 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.37/0.71 (assume @p49 (forall @t25 (=> (and @t67 @t69 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t66 @t5) (tptp.aElementOf0 @t68 @t1)) (= @t66 @t68))))) % 0.37/0.71 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t70) (and @t19 (forall @t18 (= @t17 (and @t63 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.37/0.71 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t70)))) % 0.37/0.71 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.37/0.71 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t71) @t23))))) % 0.37/0.71 (assume @p54 (forall @t25 (=> @t47 (= @t55 (tptp.aSubsetOf0 @t70 @t71))))) % 0.37/0.71 (assume @p55 (forall @t3 (=> (and @t67 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t71)))))) % 0.37/0.71 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t70) @t1)))) % 0.37/0.71 (assume @p57 (forall @t25 (=> @t65 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (and @t73 (= @t72 @t5)))))))))) % 0.37/0.71 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t74)))))) % 0.37/0.71 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t74 tptp.slcrc0))))))) % 0.37/0.71 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t74)))))) % 0.37/0.71 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t51)) (=> (and (tptp.aSubsetOf0 @t75 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t75 tptp.slcrc0))) @t26)))))) % 0.37/0.71 (assume @p62 (forall @t25 (=> @t65 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t74) (tptp.isFinite0 @t15)) (exists @t34 (and @t73 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.37/0.71 (assume @p63 (forall @t3 (=> @t76 true))) % 0.37/0.71 (assume @p64 (forall @t3 (=> @t76 (tptp.aSet0 @t77)))) % 0.37/0.71 (assume @p65 (forall @t3 (=> @t76 (forall @t8 (=> @t79 (tptp.aElement0 @t78)))))) % 0.37/0.71 (assume @p66 (forall @t25 (=> @t83 (forall @t18 (= (= @t15 @t82) (and @t27 (forall @t34 (= @t33 (and @t81 (= @t80 @t5)))))))))) % 0.37/0.71 (assume @p67 (forall @t25 (=> @t83 (tptp.aSubsetOf0 @t82 @t77)))) % 0.37/0.71 (assume @p68 (forall @t3 (=> @t76 (forall @t8 (=> @t88 (forall @t18 (= (= @t15 @t87) (and @t27 (forall @t34 (= @t33 (exists @t86 (and @t85 (= (tptp.sdtlpdtrp0 @t1 @t84) @t29))))))))))))) % 0.37/0.71 (assume @p69 (forall @t3 (=> @t76 (forall @t8 (=> @t79 (tptp.aElementOf0 @t78 @t89)))))) % 0.37/0.71 (assume @p70 (forall @t3 (=> @t76 (forall @t8 (=> @t88 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t91 (= @t90 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t80))))))))))) % 0.37/0.71 (assume @p71 (forall @t3 (=> @t76 (forall @t8 (=> (and @t88 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t77) @t81 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t80)))) (tptp.isCountable0 @t87))))))) % 0.37/0.71 (assume @p72 (forall @t3 (=> @t76 (=> (and (tptp.isCountable0 @t77) (tptp.isFinite0 @t89)) (and (tptp.aElement0 @t92) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t92))))))) % 0.37/0.71 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.37/0.71 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.37/0.71 (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))) % 0.37/0.71 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t96 (and @t2 @t99 @t98 @t97)) (=> (and (or (and @t2 @t99) @t98) @t97) @t96))) (= @t93 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 @t94) (forall @t3 (= @t95 (exists @t8 (and (tptp.aElementOf0 @t5 @t93) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t95 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t94 tptp.xT))) % 0.37/0.71 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t63))) @t69) @t39) (forall @t18 (=> (and @t91 (or (forall @t34 (and (=> @t106 (and (or (and @t110 @t109) @t108) @t107)) (=> (and @t110 @t109 @t108 @t107) @t106))) (= @t90 @t75)) (=> (and (tptp.aSet0 @t104) (forall @t34 (= @t105 (exists @t86 (and (tptp.aElementOf0 @t84 @t90) (= (tptp.sdtlpdtrp0 @t15 @t84) @t29)))))) (or (forall @t34 (=> @t105 @t103)) (tptp.aSubsetOf0 @t104 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t103 (exists @t86 (and (tptp.aSet0 @t84) (forall @t102 (=> (tptp.aElementOf0 @t100 @t84) (tptp.aElementOf0 @t100 @t5))) (tptp.aSubsetOf0 @t84 @t5) (tptp.isCountable0 @t84) (forall @t102 (=> (or (and (or (and (tptp.aSet0 @t100) (forall (@list @t101) (=> (tptp.aElementOf0 @t101 @t100) (tptp.aElementOf0 @t101 @t84)))) (tptp.aSubsetOf0 @t100 @t84)) (= (tptp.sbrdtbr0 @t100) @t1)) (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t84 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t100) @t29))))))))))))))) % 0.37/0.71 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.37/0.71 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.37/0.71 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t121 tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t120 @t119) @t118) @t117) (and (tptp.aElementOf0 @t113 @t112) (forall @t8 (=> @t116 (tptp.sdtlseqdt0 @t113 @t5))) (tptp.aSet0 @t114) (forall @t8 (= @t115 (and @t6 @t116 (not (= @t5 @t113))))) (tptp.aSet0 @t111) (forall @t8 (=> (tptp.aElementOf0 @t5 @t111) @t115)) (tptp.aSubsetOf0 @t111 @t114) (tptp.isCountable0 @t111))))))) % 0.37/0.71 (assume @p81 (forall @t3 (=> @t44 (and @t120 @t119 @t118 @t117)))) % 0.37/0.71 (assume @p82 (and @t123 @t122)) % 0.37/0.71 (assume @p83 (forall @t25 (=> @t47 (=> @t58 (=> (tptp.iLess0 @t1 tptp.xi) (and (forall @t18 (=> (tptp.aElementOf0 @t15 @t112) (tptp.aElementOf0 @t15 @t124))) (tptp.aSubsetOf0 @t112 @t124))))))) % 0.37/0.71 (assume @p84 @t138) % 0.37/0.71 (assume @p85 @t141) % 0.37/0.71 (assume @p86 true) % 0.37/0.71 (step @p87 :rule evaluate :args ((= false true))) % 0.37/0.71 (step @p88 :rule refl :args (@t127)) % 0.37/0.71 (step @p89 :rule bool-impl-elim :args (@t129 @t128)) % 0.37/0.71 (step @p90 :rule cong :premises (@p89) :args (@t130)) % 0.37/0.71 (step @p91 :rule nary_cong :premises (@p90 @p88) :args (@t139)) % 0.37/0.71 (step @p92 :rule refl :args (@t132)) % 0.37/0.71 (step @p93 :rule cong :premises (@p92 @p91) :args (@t140)) % 0.37/0.71 (step @p94 :rule cong :premises (@p93) :args (@t141)) % 0.37/0.71 (step @p95 :rule eq_resolve :premises (@p85 @p94)) % 0.37/0.71 (step @p96 :rule not_implies_elim2 :premises (@p95)) % 0.37/0.71 (step @p97 :rule not_or_elim :premises (@p96) :args (0)) % 0.37/0.71 (step @p98 :rule skolemize :premises (@p97)) % 0.37/0.71 (step @p99 :rule bool-double-not-elim :args (@t144)) % 0.37/0.71 (step @p100 :rule refl :args (@t147)) % 0.37/0.71 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t147 (not @t146)))) % 0.37/0.71 (step @p102 :rule cnf_or_neg :args (@t147 0)) % 0.37/0.71 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.37/0.71 (step @p104 :rule reordering :premises (@p103) :args ((or @t144 @t147))) % 0.37/0.71 (step @p105 :rule chain_m_resolution :premises (@p104 @p98) :args (@t144 @t148 @t149)) % 0.37/0.71 (step @p106 :rule true_intro :premises (@p105)) % 0.37/0.71 (step @p107 :rule aci_norm :args ((= (or @t152 @t154) @t153))) % 0.37/0.71 (step @p108 :rule bool-impl-elim :args (@t44 @t154)) % 0.37/0.71 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.71 (step @p110 :rule cong :premises (@p109) :args ((forall @t3 (=> @t44 @t154)))) % 0.37/0.71 (step @p111 :rule bool-and-de-morgan :args (@t46 @t48 true)) % 0.37/0.71 (step @p112 :rule cong :premises (@p111) :args (@t155)) % 0.37/0.71 (step @p113 :rule cong :premises (@p112) :args (@t156)) % 0.37/0.71 (step @p114 :rule exists-elim :args ((= @t50 @t156))) % 0.37/0.71 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.71 (step @p116 :rule refl :args (@t51)) % 0.37/0.71 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t52)) % 0.37/0.71 (step @p118 :rule refl :args (@t44)) % 0.37/0.71 (step @p119 :rule cong :premises (@p118 @p117) :args (@t53)) % 0.37/0.71 (step @p120 :rule cong :premises (@p119) :args (@t54)) % 0.37/0.71 (step @p121 :rule trans :premises (@p120 @p110)) % 0.37/0.71 (step @p122 :rule eq_resolve :premises (@p27 @p121)) % 0.37/0.71 (step @p123 :rule eq-symm :args (tptp.xi @t45)) % 0.37/0.71 (step @p124 :rule cong :premises (@p123) :args (@t157)) % 0.37/0.71 (step @p125 :rule refl :args (@t150)) % 0.37/0.71 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t158)) % 0.37/0.71 (step @p127 :rule cong :premises (@p126) :args (@t159)) % 0.37/0.71 (step @p128 :rule cong :premises (@p127) :args (@t160)) % 0.37/0.71 (step @p129 :rule eq-symm :args (tptp.xi tptp.sz00)) % 0.37/0.71 (step @p130 :rule refl :args (@t161)) % 0.37/0.71 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t162)) % 0.37/0.71 (step @p132 :rule refl :args (@t163)) % 0.37/0.71 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t163 @t162))) % 0.37/0.71 (assume-push @p222 @t163) % 0.37/0.71 (step @p135 :rule instantiate :premises (@p122) :args ((@list tptp.xi))) % 0.37/0.71 (step-pop @p223 :rule scope :premises (@p135)) % 0.37/0.71 (step @p136 :rule process_scope :premises (@p223) :args (@t162)) % 0.37/0.71 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.37/0.71 (step @p139 :rule implies_elim :premises (@p138)) % 0.37/0.71 (step @p140 :rule chain_m_resolution :premises (@p139 @p122) :args (@t167 @t168 (@list @t163))) % 0.37/0.71 (step @p141 :rule not_implies_elim1 :premises (@p95)) % 0.37/0.71 (step @p142 :rule cnf_and_pos :args (@t169 0)) % 0.37/0.71 (step @p143 :rule reordering :premises (@p142) :args ((or @t142 @t170))) % 0.37/0.71 (step @p144 :rule chain_m_resolution :premises (@p143 @p97) :args (@t170 @t148 (@list @t142))) % 0.37/0.71 (step @p145 :rule cnf_implies_pos :args (@t171)) % 0.37/0.71 (step @p146 :rule reordering :premises (@p145) :args ((or @t169 @t173 @t172))) % 0.37/0.71 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p141) :args (@t172 @t174 (@list @t169 @t132))) % 0.37/0.71 (step @p148 :rule nary_cong :premises (@p90 @p88) :args (@t131)) % 0.37/0.71 (step @p149 :rule cong :premises (@p92 @p148) :args (@t133)) % 0.37/0.71 (step @p150 :rule bool-and-de-morgan :args (@t44 @t134 true)) % 0.37/0.71 (step @p151 :rule cong :premises (@p150) :args (@t175)) % 0.37/0.71 (step @p152 :rule cong :premises (@p151) :args (@t176)) % 0.37/0.71 (step @p153 :rule exists-elim :args ((= @t136 @t176))) % 0.37/0.71 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.71 (step @p155 :rule nary_cong :premises (@p92 @p154) :args (@t137)) % 0.37/0.71 (step @p156 :rule cong :premises (@p155 @p149) :args (@t138)) % 0.37/0.71 (step @p157 :rule eq_resolve :premises (@p84 @p156)) % 0.37/0.71 (step @p158 :rule implies_elim :premises (@p157)) % 0.37/0.71 (step @p159 :rule reordering :premises (@p158) :args ((or @t171 @t180))) % 0.37/0.71 (step @p160 :rule chain_m_resolution :premises (@p159 @p147) :args (@t180 @t148 (@list @t171))) % 0.37/0.71 (step @p161 :rule bool-double-not-elim :args (@t177)) % 0.37/0.71 (step @p162 :rule refl :args (@t173)) % 0.37/0.71 (step @p163 :rule refl :args (@t179)) % 0.37/0.71 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args ((or @t179 @t173 (not @t178)))) % 0.37/0.71 (step @p165 :rule cnf_and_neg :args (@t179)) % 0.37/0.71 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.37/0.71 (step @p167 :rule reordering :premises (@p166) :args ((or @t177 @t179 @t173))) % 0.37/0.71 (step @p168 :rule chain_m_resolution :premises (@p167 @p160 @p141) :args (@t177 @t174 (@list @t179 @t132))) % 0.37/0.71 (step @p169 :rule alpha_equiv :args (@t177 (@list @t1) (@list @t5))) % 0.37/0.71 (step @p170 :rule equiv_elim1 :premises (@p169)) % 0.37/0.71 (step @p171 :rule chain_m_resolution :premises (@p170 @p168) :args (@t164 @t168 (@list @t177))) % 0.37/0.71 (step @p172 :rule and_elim :premises (@p82) :args (1)) % 0.37/0.71 (step @p173 :rule cnf_or_pos :args (@t167)) % 0.37/0.71 (step @p174 :rule reordering :premises (@p173) :args ((or @t161 @t166 @t165 (not @t167)))) % 0.37/0.71 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171 @p140) :args (@t166 (@list false false false) (@list @t122 @t164 @t167))) % 0.37/0.71 (step @p176 :rule refl :args (tptp.xN)) % 0.37/0.71 (step @p177 :rule cong :premises (@p176 @p175) :args (@t121)) % 0.37/0.71 (step @p178 :rule refl :args (@t143)) % 0.37/0.71 (step @p179 :rule cong :premises (@p178 @p177) :args ((tptp.aElementOf0 @t143 @t121))) % 0.37/0.71 (step @p180 :rule symm :premises (@p175)) % 0.37/0.71 (step @p181 :rule aci_norm :args ((= (or (or @t152 @t150) @t183) (or @t152 @t150 @t182 @t181 @t23)))) % 0.37/0.71 (step @p182 :rule aci_norm :args ((= (or (or @t182 @t181) @t23) @t183))) % 0.37/0.71 (step @p183 :rule refl :args (@t23)) % 0.37/0.71 (step @p184 :rule bool-and-de-morgan :args (@t55 @t58 true)) % 0.37/0.71 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or (not @t59) @t23))) % 0.37/0.71 (step @p186 :rule trans :premises (@p185 @p182)) % 0.37/0.71 (step @p187 :rule bool-impl-elim :args (@t59 @t23)) % 0.37/0.71 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.71 (step @p189 :rule bool-and-de-morgan :args (@t44 @t46 true)) % 0.37/0.71 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or (not @t47) @t60))) % 0.37/0.71 (step @p191 :rule trans :premises (@p190 @p181)) % 0.37/0.71 (step @p192 :rule bool-impl-elim :args (@t47 @t60)) % 0.37/0.71 (step @p193 :rule trans :premises (@p192 @p191)) % 0.37/0.71 (step @p194 :rule cong :premises (@p193) :args (@t61)) % 0.37/0.71 (step @p195 :rule eq_resolve :premises (@p35 @p194)) % 0.37/0.71 (step @p196 :rule instantiate :premises (@p195) :args ((@list tptp.xj tptp.xi))) % 0.37/0.71 (step @p197 :rule bool-impl-elim :args (@t44 @t56)) % 0.37/0.71 (step @p198 :rule cong :premises (@p197) :args (@t57)) % 0.37/0.71 (step @p199 :rule eq_resolve :premises (@p30 @p198)) % 0.37/0.71 (step @p200 :rule instantiate :premises (@p199) :args ((@list tptp.xj))) % 0.37/0.71 (step @p201 :rule and_elim :premises (@p82) :args (0)) % 0.37/0.71 (step @p202 :rule cnf_or_pos :args (@t186)) % 0.37/0.71 (step @p203 :rule reordering :premises (@p202) :args ((or @t185 @t184 (not @t186)))) % 0.37/0.71 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p200) :args (@t184 (@list false false) (@list @t123 @t186))) % 0.37/0.71 (step @p205 :rule true_intro :premises (@p204)) % 0.37/0.71 (step @p206 :rule refl :args (tptp.xj)) % 0.37/0.71 (step @p207 :rule cong :premises (@p180 @p206) :args (@t187)) % 0.37/0.71 (step @p208 :rule trans :premises (@p207 @p205)) % 0.37/0.71 (step @p209 :rule true_elim :premises (@p208)) % 0.37/0.71 (step @p210 :rule cnf_or_pos :args (@t190)) % 0.37/0.71 (step @p211 :rule reordering :premises (@p210) :args ((or @t185 @t161 @t173 @t189 @t188 (not @t190)))) % 0.37/0.71 (step @p212 :rule chain_m_resolution :premises (@p211 @p201 @p172 @p141 @p209 @p196) :args (@t188 (@list false false false false false) (@list @t123 @t122 @t132 @t187 @t190))) % 0.37/0.71 (step @p213 :rule trans :premises (@p212 @p180)) % 0.37/0.71 (step @p214 :rule cong :premises (@p176 @p213) :args (@t125)) % 0.37/0.71 (step @p215 :rule cong :premises (@p178 @p214) :args (@t145)) % 0.37/0.71 (step @p216 :rule cnf_or_neg :args (@t147 1)) % 0.37/0.71 (step @p217 :rule chain_m_resolution :premises (@p216 @p98) :args ((not @t145) @t148 @t149)) % 0.37/0.71 (step @p218 :rule false_intro :premises (@p217)) % 0.37/0.71 (step @p219 :rule symm :premises (@p218)) % 0.37/0.71 (step @p220 :rule trans :premises (@p219 @p215 @p179 @p106)) % 0.37/0.71 (step @p221 false :rule eq_resolve :premises (@p220 @p87)) % 0.37/0.71 ) % 0.37/0.71 % SZS output end Proof % 0.37/0.71 % cvc5 exiting %------------------------------------------------------------------------------