%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM574+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 : 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 0.35s 0.67s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM574+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 % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:31:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.67 % SZS status Theorem % 0.35/0.67 % SZS output start Proof % 0.35/0.67 ( % 0.35/0.67 (declare-sort $$unsorted 0) % 0.35/0.67 (declare-const tptp.xj $$unsorted) % 0.35/0.67 (declare-const tptp.xi $$unsorted) % 0.35/0.67 (declare-const tptp.xN $$unsorted) % 0.35/0.67 (declare-const tptp.sz00 $$unsorted) % 0.35/0.67 (declare-const tptp.xc $$unsorted) % 0.35/0.67 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.szNzAzT0 $$unsorted) % 0.35/0.67 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.xk $$unsorted) % 0.35/0.67 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.xK $$unsorted) % 0.35/0.67 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.xT $$unsorted) % 0.35/0.67 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.xS $$unsorted) % 0.35/0.67 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.slcrc0 $$unsorted) % 0.35/0.67 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (define @t1 () (@var "W0" $$unsorted)) % 0.35/0.67 (define @t2 () (tptp.aSet0 @t1)) % 0.35/0.67 (define @t3 () (@list @t1)) % 0.35/0.67 (define @t4 () (tptp.aElement0 @t1)) % 0.35/0.67 (define @t5 () (@var "W1" $$unsorted)) % 0.35/0.67 (define @t6 () (tptp.aElement0 @t5)) % 0.35/0.67 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.35/0.67 (define @t8 () (@list @t5)) % 0.35/0.67 (define @t9 () (tptp.isFinite0 @t1)) % 0.35/0.67 (define @t10 () (= @t1 tptp.slcrc0)) % 0.35/0.67 (define @t11 () (tptp.isCountable0 @t1)) % 0.35/0.67 (define @t12 () (not @t9)) % 0.35/0.67 (define @t13 () (and @t2 @t11)) % 0.35/0.67 (define @t14 () (not @t10)) % 0.35/0.67 (define @t15 () (@var "W2" $$unsorted)) % 0.35/0.67 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.35/0.67 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.35/0.67 (define @t18 () (@list @t15)) % 0.35/0.67 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.35/0.67 (define @t20 () (tptp.aSet0 @t5)) % 0.35/0.67 (define @t21 () (and @t20 @t19)) % 0.35/0.67 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 0.35/0.67 (define @t23 () (= @t22 @t21)) % 0.35/0.67 (define @t24 () (forall @t8 @t23)) % 0.35/0.67 (define @t25 () (=> @t2 @t24)) % 0.35/0.67 (define @t26 () (forall @t3 @t25)) % 0.35/0.67 (define @t27 () (tptp.isFinite0 @t5)) % 0.35/0.67 (define @t28 () (and @t2 @t9)) % 0.35/0.67 (define @t29 () (= @t1 @t5)) % 0.35/0.67 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 0.35/0.67 (define @t31 () (@list @t1 @t5)) % 0.35/0.67 (define @t32 () (tptp.aSubsetOf0 @t5 @t15)) % 0.35/0.67 (define @t33 () (tptp.aSet0 @t15)) % 0.35/0.67 (define @t34 () (@list @t1 @t5 @t15)) % 0.35/0.67 (define @t35 () (@var "W3" $$unsorted)) % 0.35/0.67 (define @t36 () (= @t35 @t5)) % 0.35/0.67 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 0.35/0.67 (define @t38 () (tptp.aElement0 @t35)) % 0.35/0.67 (define @t39 () (tptp.aElementOf0 @t35 @t15)) % 0.35/0.67 (define @t40 () (@list @t35)) % 0.35/0.67 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 0.35/0.67 (define @t42 () (and @t2 @t6)) % 0.35/0.67 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 0.35/0.67 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 0.35/0.67 (define @t45 () (tptp.isCountable0 @t5)) % 0.35/0.67 (define @t46 () (and @t20 @t45)) % 0.35/0.67 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 0.35/0.67 (define @t48 () (and @t20 @t27)) % 0.35/0.67 (define @t49 () (tptp.aSet0 tptp.szNzAzT0)) % 0.35/0.67 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 0.35/0.67 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.35/0.67 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 0.35/0.67 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.35/0.67 (define @t54 () (and @t51 @t53)) % 0.35/0.67 (define @t55 () (= @t1 @t52)) % 0.35/0.67 (define @t56 () (and @t53 @t55)) % 0.35/0.67 (define @t57 () (exists @t8 @t56)) % 0.35/0.67 (define @t58 () (= @t1 tptp.sz00)) % 0.35/0.67 (define @t59 () (or @t58 @t57)) % 0.35/0.67 (define @t60 () (=> @t51 @t59)) % 0.35/0.67 (define @t61 () (forall @t3 @t60)) % 0.35/0.67 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.35/0.67 (define @t63 () (tptp.sdtlseqdt0 tptp.sz00 @t1)) % 0.35/0.67 (define @t64 () (forall @t3 (=> @t51 @t63))) % 0.35/0.67 (define @t65 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.35/0.67 (define @t66 () (and @t62 @t65)) % 0.35/0.67 (define @t67 () (=> @t66 @t29)) % 0.35/0.67 (define @t68 () (forall @t31 (=> @t54 @t67))) % 0.35/0.67 (define @t69 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.35/0.67 (define @t70 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.35/0.67 (define @t71 () (tptp.sbrdtbr0 @t1)) % 0.35/0.67 (define @t72 () (and @t2 @t53)) % 0.35/0.67 (define @t73 () (tptp.szmzizndt0 @t1)) % 0.35/0.67 (define @t74 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.35/0.67 (define @t75 () (tptp.szmzizndt0 @t5)) % 0.35/0.67 (define @t76 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.35/0.67 (define @t77 () (tptp.slbdtrb0 @t1)) % 0.35/0.67 (define @t78 () (tptp.slbdtrb0 @t5)) % 0.35/0.67 (define @t79 () (tptp.aSubsetOf0 @t35 @t1)) % 0.35/0.67 (define @t80 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.35/0.67 (define @t81 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.35/0.67 (define @t82 () (tptp.aFunction0 @t1)) % 0.35/0.67 (define @t83 () (tptp.szDzozmdt0 @t1)) % 0.35/0.67 (define @t84 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.35/0.67 (define @t85 () (tptp.aElementOf0 @t5 @t83)) % 0.35/0.67 (define @t86 () (tptp.sdtlpdtrp0 @t1 @t35)) % 0.35/0.67 (define @t87 () (tptp.aElementOf0 @t35 @t83)) % 0.35/0.67 (define @t88 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.35/0.67 (define @t89 () (and @t82 @t6)) % 0.35/0.67 (define @t90 () (@var "W4" $$unsorted)) % 0.35/0.67 (define @t91 () (@list @t90)) % 0.35/0.67 (define @t92 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.35/0.67 (define @t93 () (tptp.aSubsetOf0 @t5 @t83)) % 0.35/0.67 (define @t94 () (tptp.sdtlcdtrc0 @t1 @t83)) % 0.35/0.67 (define @t95 () (tptp.szDzozmdt0 @t15)) % 0.35/0.67 (define @t96 () (tptp.aFunction0 @t15)) % 0.35/0.67 (define @t97 () (tptp.szDzizrdt0 @t1)) % 0.35/0.67 (define @t98 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 0.35/0.67 (define @t99 () (tptp.szDzozmdt0 tptp.xc)) % 0.35/0.67 (define @t100 () (@var "W5" $$unsorted)) % 0.35/0.67 (define @t101 () (tptp.sdtlpdtrp0 tptp.xN @t50)) % 0.35/0.67 (define @t102 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.35/0.67 (define @t103 () (and (tptp.aSubsetOf0 @t102 tptp.szNzAzT0) (tptp.isCountable0 @t102))) % 0.35/0.67 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 0.35/0.67 (define @t105 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 0.35/0.67 (define @t106 () (tptp.aElementOf0 tptp.xj tptp.szNzAzT0)) % 0.35/0.67 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN tptp.xj)) % 0.35/0.67 (define @t108 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 0.35/0.67 (define @t109 () (tptp.aSubsetOf0 @t108 @t107)) % 0.35/0.67 (define @t110 () (tptp.sdtlseqdt0 tptp.xj tptp.xi)) % 0.35/0.67 (define @t111 () (=> @t110 @t109)) % 0.35/0.67 (define @t112 () (= @t50 tptp.xi)) % 0.35/0.67 (define @t113 () (and @t51 @t112)) % 0.35/0.67 (define @t114 () (exists @t3 @t113)) % 0.35/0.67 (define @t115 () (and @t110 @t114)) % 0.35/0.67 (define @t116 () (=> @t115 @t111)) % 0.35/0.67 (define @t117 () (not @t53)) % 0.35/0.67 (define @t118 () (not (forall @t8 (or @t117 (not @t55))))) % 0.35/0.67 (define @t119 () (not @t51)) % 0.35/0.67 (define @t120 () (or @t119 @t58 @t118)) % 0.35/0.67 (define @t121 () (or @t58 @t118)) % 0.35/0.67 (define @t122 () (forall @t8 (not @t56))) % 0.35/0.67 (define @t123 () (not @t122)) % 0.35/0.67 (define @t124 () (not (= tptp.xi @t52))) % 0.35/0.67 (define @t125 () (or @t117 @t124)) % 0.35/0.67 (define @t126 () (forall @t8 @t125)) % 0.35/0.67 (define @t127 () (not @t126)) % 0.35/0.67 (define @t128 () (not @t105)) % 0.35/0.67 (define @t129 () (or @t128 (= tptp.xi tptp.sz00) @t127)) % 0.35/0.67 (define @t130 () (forall @t3 @t120)) % 0.35/0.67 (define @t131 () (forall @t8 (or @t117 (not (= @t52 tptp.xi))))) % 0.35/0.67 (define @t132 () (not @t131)) % 0.35/0.67 (define @t133 () (= tptp.sz00 tptp.xi)) % 0.35/0.67 (define @t134 () (or @t128 @t133 @t132)) % 0.35/0.67 (define @t135 () (@list false)) % 0.35/0.67 (define @t136 () (forall @t3 (not @t113))) % 0.35/0.67 (define @t137 () (not @t136)) % 0.35/0.67 (define @t138 () (forall @t3 (or @t119 (not @t112)))) % 0.35/0.67 (define @t139 () (not @t138)) % 0.35/0.67 (define @t140 () (and @t110 @t139)) % 0.35/0.67 (define @t141 () (not @t140)) % 0.35/0.67 (define @t142 () (@list true)) % 0.35/0.67 (define @t143 () (not @t110)) % 0.35/0.67 (define @t144 () (@list true false)) % 0.35/0.67 (define @t145 () (@list @t5)) % 0.35/0.67 (define @t146 () (not @t65)) % 0.35/0.67 (define @t147 () (not @t62)) % 0.35/0.67 (define @t148 () (or @t147 @t146 @t29)) % 0.35/0.67 (define @t149 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xj)) % 0.35/0.67 (define @t150 () (not @t106)) % 0.35/0.67 (define @t151 () (or @t150 @t149)) % 0.35/0.67 (define @t152 () (@list false false)) % 0.35/0.67 (define @t153 () (tptp.sdtlseqdt0 tptp.xi tptp.xj)) % 0.35/0.67 (define @t154 () (= tptp.xj tptp.xi)) % 0.35/0.67 (define @t155 () (not @t153)) % 0.35/0.67 (define @t156 () (or @t150 @t128 @t143 @t155 @t154)) % 0.35/0.67 (define @t157 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 0.35/0.67 (define @t158 () (= (tptp.aSubsetOf0 @t157 @t1) (and (tptp.aSet0 @t157) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t157)) @t16))))) % 0.35/0.67 (define @t159 () (not @t2)) % 0.35/0.67 (define @t160 () (or @t159 @t158)) % 0.35/0.67 (define @t161 () (@list @t157)) % 0.35/0.67 (define @t162 () (forall @t161 @t160)) % 0.35/0.67 (define @t163 () (forall @t161 @t158)) % 0.35/0.67 (define @t164 () (or @t159 @t163)) % 0.35/0.67 (define @t165 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 0.35/0.67 (define @t166 () (tptp.aSet0 tptp.xS)) % 0.35/0.67 (define @t167 () (and @t166 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xS)) @t70)))) % 0.35/0.67 (define @t168 () (= @t98 @t167)) % 0.35/0.67 (define @t169 () (not @t49)) % 0.35/0.67 (define @t170 () (or @t169 @t168)) % 0.35/0.67 (define @t171 () (tptp.aSet0 @t108)) % 0.35/0.67 (define @t172 () (tptp.aSet0 @t107)) % 0.35/0.67 (define @t173 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t108)) (tptp.aElementOf0 @t15 @t107)))) % 0.35/0.67 (define @t174 () (and @t171 @t173)) % 0.35/0.67 (define @t175 () (= @t109 @t174)) % 0.35/0.67 (define @t176 () (not @t172)) % 0.35/0.67 (define @t177 () (or @t176 @t175)) % 0.35/0.67 (define @t178 () (not @t174)) % 0.35/0.67 (define @t179 () (@quantifiers_skolemize @t173 0)) % 0.35/0.67 (define @t180 () (tptp.aElementOf0 @t179 @t108)) % 0.35/0.67 (define @t181 () (tptp.aElementOf0 @t179 @t107)) % 0.35/0.67 (define @t182 () (not @t180)) % 0.35/0.67 (define @t183 () (or @t182 @t181)) % 0.35/0.67 (define @t184 () (@list @t183)) % 0.35/0.67 (define @t185 () (and @t133 @t154 @t180)) % 0.35/0.67 (assume @p1 (forall @t3 (=> @t2 true))) % 0.35/0.67 (assume @p2 (forall @t3 (=> @t4 true))) % 0.35/0.67 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.35/0.67 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.35/0.67 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.35/0.67 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.35/0.67 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.35/0.67 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.35/0.67 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.35/0.67 (assume @p10 @t26) % 0.35/0.67 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 0.35/0.67 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.35/0.67 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 0.35/0.67 (assume @p14 (forall @t34 (=> (and @t2 @t20 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t15))))) % 0.35/0.67 (assume @p15 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 0.35/0.67 (assume @p16 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 0.35/0.67 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 0.35/0.67 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 0.35/0.67 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 0.35/0.67 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 0.35/0.67 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 0.35/0.67 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 0.35/0.67 (assume @p23 (and @t49 (tptp.isCountable0 tptp.szNzAzT0))) % 0.35/0.67 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.35/0.67 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 0.35/0.67 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 0.35/0.67 (assume @p27 @t61) % 0.35/0.67 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 0.35/0.67 (assume @p29 (forall @t31 (=> @t54 (=> @t62 true)))) % 0.35/0.67 (assume @p30 @t64) % 0.35/0.67 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 0.35/0.67 (assume @p32 (forall @t31 (=> @t54 (= @t62 (tptp.sdtlseqdt0 @t50 @t52))))) % 0.35/0.67 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 0.35/0.67 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.35/0.67 (assume @p35 @t68) % 0.35/0.67 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t70) (=> (and @t62 @t69) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.35/0.67 (assume @p37 (forall @t31 (=> @t54 (or @t62 (tptp.sdtlseqdt0 @t52 @t1))))) % 0.35/0.67 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.35/0.67 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 0.35/0.67 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t71)))) % 0.35/0.67 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t71 tptp.szNzAzT0) @t9)))) % 0.35/0.67 (assume @p42 (forall @t3 (=> @t2 (= (= @t71 tptp.sz00) @t10)))) % 0.35/0.67 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t71)))))))) % 0.35/0.67 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t71)))))) % 0.35/0.67 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t71)))))) % 0.35/0.67 (assume @p46 (forall @t31 (=> @t72 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t71)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.35/0.67 (assume @p47 (forall @t3 (=> (and @t74 @t14) (forall @t8 (= (= @t5 @t73) (and @t7 (forall @t18 (=> @t16 @t69)))))))) % 0.35/0.67 (assume @p48 (forall @t3 (=> (and @t74 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.35/0.67 (assume @p49 (forall @t31 (=> (and @t74 @t76 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t73 @t5) (tptp.aElementOf0 @t75 @t1)) (= @t73 @t75))))) % 0.35/0.67 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t77) (and @t20 (forall @t18 (= @t17 (and @t70 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.35/0.67 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t77)))) % 0.35/0.67 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.35/0.67 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t78) @t29))))) % 0.35/0.67 (assume @p54 (forall @t31 (=> @t54 (= @t62 (tptp.aSubsetOf0 @t77 @t78))))) % 0.35/0.67 (assume @p55 (forall @t3 (=> (and @t74 @t9) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t78)))))) % 0.35/0.67 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t77) @t1)))) % 0.35/0.67 (assume @p57 (forall @t31 (=> @t72 (forall @t18 (= (= @t15 @t80) (and @t33 (forall @t40 (= @t39 (and @t79 (= (tptp.sbrdtbr0 @t35) @t5)))))))))) % 0.35/0.67 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t53 (tptp.isFinite0 @t80)))))) % 0.35/0.67 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t53 (not (= @t80 tptp.slcrc0))))))) % 0.35/0.67 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t80)))))) % 0.35/0.67 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t15) (=> (and @t20 @t33 (not @t58)) (=> (and (tptp.aSubsetOf0 @t81 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t81 tptp.slcrc0))) @t32)))))) % 0.35/0.67 (assume @p62 (forall @t31 (=> @t72 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t80) (tptp.isFinite0 @t15)) (exists @t40 (and @t79 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 0.35/0.67 (assume @p63 (forall @t3 (=> @t82 true))) % 0.35/0.67 (assume @p64 (forall @t3 (=> @t82 (tptp.aSet0 @t83)))) % 0.35/0.67 (assume @p65 (forall @t3 (=> @t82 (forall @t8 (=> @t85 (tptp.aElement0 @t84)))))) % 0.35/0.67 (assume @p66 (forall @t31 (=> @t89 (forall @t18 (= (= @t15 @t88) (and @t33 (forall @t40 (= @t39 (and @t87 (= @t86 @t5)))))))))) % 0.35/0.67 (assume @p67 (forall @t31 (=> @t89 (tptp.aSubsetOf0 @t88 @t83)))) % 0.35/0.67 (assume @p68 (forall @t3 (=> @t82 (forall @t8 (=> @t93 (forall @t18 (= (= @t15 @t92) (and @t33 (forall @t40 (= @t39 (exists @t91 (and (tptp.aElementOf0 @t90 @t5) (= (tptp.sdtlpdtrp0 @t1 @t90) @t35))))))))))))) % 0.35/0.67 (assume @p69 (forall @t3 (=> @t82 (forall @t8 (=> @t85 (tptp.aElementOf0 @t84 @t94)))))) % 0.35/0.67 (assume @p70 (forall @t3 (=> @t82 (forall @t8 (=> @t93 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t96 (= @t95 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t15 @t35) @t86))))))))))) % 0.35/0.67 (assume @p71 (forall @t3 (=> @t82 (forall @t8 (=> (and @t93 @t45) (=> (forall (@list @t15 @t35) (=> (and (tptp.aElementOf0 @t15 @t83) @t87 (not (= @t15 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t86)))) (tptp.isCountable0 @t92))))))) % 0.35/0.67 (assume @p72 (forall @t3 (=> @t82 (=> (and (tptp.isCountable0 @t83) (tptp.isFinite0 @t94)) (and (tptp.aElement0 @t97) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t97))))))) % 0.35/0.67 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.35/0.67 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.35/0.67 (assume @p75 (and @t98 (tptp.isCountable0 tptp.xS))) % 0.35/0.67 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t99 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t99) tptp.xT))) % 0.35/0.67 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and @t76 @t45) (forall @t18 (=> (and @t96 (= @t95 @t81) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t95) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and (tptp.aElementOf0 @t35 tptp.xT) (exists @t91 (and (tptp.aSubsetOf0 @t90 @t5) (tptp.isCountable0 @t90) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t90 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t100) @t35))))))))))))))) % 0.35/0.67 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.35/0.67 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.35/0.67 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t104 tptp.xS) (forall @t3 (=> @t51 (=> @t103 (and (tptp.aSubsetOf0 @t101 (tptp.sdtmndt0 @t102 (tptp.szmzizndt0 @t102))) (tptp.isCountable0 @t101))))))) % 0.35/0.67 (assume @p81 (forall @t3 (=> @t51 @t103))) % 0.35/0.67 (assume @p82 (and @t106 @t105)) % 0.35/0.67 (assume @p83 (forall @t31 (=> @t54 (=> @t65 (=> (tptp.iLess0 @t1 tptp.xi) (tptp.aSubsetOf0 @t102 (tptp.sdtlpdtrp0 tptp.xN @t5))))))) % 0.35/0.67 (assume @p84 @t116) % 0.35/0.67 (assume @p85 (not @t111)) % 0.35/0.67 (assume @p86 true) % 0.35/0.67 (step @p87 :rule aci_norm :args ((= (or @t119 @t121) @t120))) % 0.35/0.67 (step @p88 :rule bool-impl-elim :args (@t51 @t121)) % 0.35/0.67 (step @p89 :rule trans :premises (@p88 @p87)) % 0.35/0.67 (step @p90 :rule cong :premises (@p89) :args ((forall @t3 (=> @t51 @t121)))) % 0.35/0.67 (step @p91 :rule bool-and-de-morgan :args (@t53 @t55 true)) % 0.35/0.67 (step @p92 :rule cong :premises (@p91) :args (@t122)) % 0.35/0.67 (step @p93 :rule cong :premises (@p92) :args (@t123)) % 0.35/0.67 (step @p94 :rule exists-elim :args ((= @t57 @t123))) % 0.35/0.67 (step @p95 :rule trans :premises (@p94 @p93)) % 0.35/0.67 (step @p96 :rule refl :args (@t58)) % 0.35/0.67 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t59)) % 0.35/0.67 (step @p98 :rule refl :args (@t51)) % 0.35/0.67 (step @p99 :rule cong :premises (@p98 @p97) :args (@t60)) % 0.35/0.67 (step @p100 :rule cong :premises (@p99) :args (@t61)) % 0.35/0.67 (step @p101 :rule trans :premises (@p100 @p90)) % 0.35/0.67 (step @p102 :rule eq_resolve :premises (@p27 @p101)) % 0.35/0.67 (step @p103 :rule eq-symm :args (tptp.xi @t52)) % 0.35/0.67 (step @p104 :rule cong :premises (@p103) :args (@t124)) % 0.35/0.67 (step @p105 :rule refl :args (@t117)) % 0.35/0.67 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t125)) % 0.35/0.67 (step @p107 :rule cong :premises (@p106) :args (@t126)) % 0.35/0.67 (step @p108 :rule cong :premises (@p107) :args (@t127)) % 0.35/0.67 (step @p109 :rule eq-symm :args (tptp.xi tptp.sz00)) % 0.35/0.67 (step @p110 :rule refl :args (@t128)) % 0.35/0.67 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t129)) % 0.35/0.67 (step @p112 :rule refl :args (@t130)) % 0.35/0.67 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t130 @t129))) % 0.35/0.67 (assume-push @p271 @t130) % 0.35/0.67 (step @p115 :rule instantiate :premises (@p102) :args ((@list tptp.xi))) % 0.35/0.67 (step-pop @p272 :rule scope :premises (@p115)) % 0.35/0.67 (step @p116 :rule process_scope :premises (@p272) :args (@t129)) % 0.35/0.67 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.35/0.67 (step @p119 :rule implies_elim :premises (@p118)) % 0.35/0.67 (step @p120 :rule chain_m_resolution :premises (@p119 @p102) :args (@t134 @t135 (@list @t130))) % 0.35/0.67 (step @p121 :rule not_implies_elim1 :premises (@p85)) % 0.35/0.67 (step @p122 :rule refl :args (@t111)) % 0.35/0.67 (step @p123 :rule bool-and-de-morgan :args (@t51 @t112 true)) % 0.35/0.67 (step @p124 :rule cong :premises (@p123) :args (@t136)) % 0.35/0.67 (step @p125 :rule cong :premises (@p124) :args (@t137)) % 0.35/0.67 (step @p126 :rule exists-elim :args ((= @t114 @t137))) % 0.35/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.35/0.67 (step @p128 :rule refl :args (@t110)) % 0.35/0.67 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t115)) % 0.35/0.67 (step @p130 :rule cong :premises (@p129 @p122) :args (@t116)) % 0.35/0.67 (step @p131 :rule eq_resolve :premises (@p84 @p130)) % 0.35/0.67 (step @p132 :rule implies_elim :premises (@p131)) % 0.35/0.67 (step @p133 :rule reordering :premises (@p132) :args ((or @t111 @t141))) % 0.35/0.67 (step @p134 :rule chain_m_resolution :premises (@p133 @p85) :args (@t141 @t142 (@list @t111))) % 0.35/0.67 (step @p135 :rule bool-double-not-elim :args (@t138)) % 0.35/0.67 (step @p136 :rule refl :args (@t143)) % 0.35/0.67 (step @p137 :rule refl :args (@t140)) % 0.35/0.67 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135) :args ((or @t140 @t143 (not @t139)))) % 0.35/0.67 (step @p139 :rule cnf_and_neg :args (@t140)) % 0.35/0.67 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.35/0.67 (step @p141 :rule reordering :premises (@p140) :args ((or @t138 @t140 @t143))) % 0.35/0.67 (step @p142 :rule chain_m_resolution :premises (@p141 @p134 @p121) :args (@t138 @t144 (@list @t140 @t110))) % 0.35/0.67 (step @p143 :rule alpha_equiv :args (@t138 (@list @t1) @t145)) % 0.35/0.67 (step @p144 :rule equiv_elim1 :premises (@p143)) % 0.35/0.67 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t131 @t135 (@list @t138))) % 0.35/0.67 (step @p146 :rule and_elim :premises (@p82) :args (1)) % 0.35/0.67 (step @p147 :rule cnf_or_pos :args (@t134)) % 0.35/0.67 (step @p148 :rule reordering :premises (@p147) :args ((or @t128 @t133 @t132 (not @t134)))) % 0.35/0.67 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p145 @p120) :args (@t133 (@list false false false) (@list @t105 @t131 @t134))) % 0.35/0.67 (step @p150 :rule aci_norm :args ((= (or (or @t119 @t117) @t148) (or @t119 @t117 @t147 @t146 @t29)))) % 0.35/0.67 (step @p151 :rule aci_norm :args ((= (or (or @t147 @t146) @t29) @t148))) % 0.35/0.67 (step @p152 :rule refl :args (@t29)) % 0.35/0.67 (step @p153 :rule bool-and-de-morgan :args (@t62 @t65 true)) % 0.35/0.67 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t66) @t29))) % 0.35/0.67 (step @p155 :rule trans :premises (@p154 @p151)) % 0.35/0.67 (step @p156 :rule bool-impl-elim :args (@t66 @t29)) % 0.35/0.67 (step @p157 :rule trans :premises (@p156 @p155)) % 0.35/0.67 (step @p158 :rule bool-and-de-morgan :args (@t51 @t53 true)) % 0.35/0.67 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t54) @t67))) % 0.35/0.67 (step @p160 :rule trans :premises (@p159 @p150)) % 0.35/0.67 (step @p161 :rule bool-impl-elim :args (@t54 @t67)) % 0.35/0.67 (step @p162 :rule trans :premises (@p161 @p160)) % 0.35/0.67 (step @p163 :rule cong :premises (@p162) :args (@t68)) % 0.35/0.67 (step @p164 :rule eq_resolve :premises (@p35 @p163)) % 0.35/0.67 (step @p165 :rule instantiate :premises (@p164) :args ((@list tptp.xj tptp.xi))) % 0.35/0.67 (step @p166 :rule bool-impl-elim :args (@t51 @t63)) % 0.35/0.67 (step @p167 :rule cong :premises (@p166) :args (@t64)) % 0.35/0.67 (step @p168 :rule eq_resolve :premises (@p30 @p167)) % 0.35/0.67 (step @p169 :rule instantiate :premises (@p168) :args ((@list tptp.xj))) % 0.35/0.67 (step @p170 :rule and_elim :premises (@p82) :args (0)) % 0.35/0.67 (step @p171 :rule cnf_or_pos :args (@t151)) % 0.35/0.67 (step @p172 :rule reordering :premises (@p171) :args ((or @t150 @t149 (not @t151)))) % 0.35/0.67 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p169) :args (@t149 @t152 (@list @t106 @t151))) % 0.35/0.67 (step @p174 :rule true_intro :premises (@p173)) % 0.35/0.67 (step @p175 :rule refl :args (tptp.xj)) % 0.35/0.67 (step @p176 :rule symm :premises (@p149)) % 0.35/0.67 (step @p177 :rule cong :premises (@p176 @p175) :args (@t153)) % 0.35/0.67 (step @p178 :rule trans :premises (@p177 @p174)) % 0.35/0.67 (step @p179 :rule true_elim :premises (@p178)) % 0.35/0.67 (step @p180 :rule cnf_or_pos :args (@t156)) % 0.35/0.67 (step @p181 :rule reordering :premises (@p180) :args ((or @t150 @t128 @t143 @t155 @t154 (not @t156)))) % 0.35/0.67 (step @p182 :rule chain_m_resolution :premises (@p181 @p170 @p146 @p121 @p179 @p165) :args (@t154 (@list false false false false false) (@list @t106 @t105 @t110 @t153 @t156))) % 0.35/0.67 (step @p183 :rule quant-merge-prenex :args ((= (forall @t3 @t162) (forall (@list @t1 @t157) @t160)))) % 0.35/0.67 (step @p184 :rule alpha_equiv :args (@t163 (@list @t157) @t145)) % 0.35/0.67 (step @p185 :rule refl :args (@t159)) % 0.35/0.67 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t164)) % 0.35/0.67 (step @p187 :rule quant-miniscope-or :args ((= @t162 @t164))) % 0.35/0.67 (step @p188 :rule trans :premises (@p187 @p186)) % 0.35/0.67 (step @p189 :rule symm :premises (@p188)) % 0.35/0.67 (step @p190 :rule cong :premises (@p189) :args ((forall @t3 (or @t159 @t165)))) % 0.35/0.67 (step @p191 :rule trans :premises (@p190 @p183)) % 0.35/0.67 (step @p192 :rule bool-impl-elim :args (@t2 @t165)) % 0.35/0.67 (step @p193 :rule cong :premises (@p192) :args ((forall @t3 (=> @t2 @t165)))) % 0.35/0.67 (step @p194 :rule trans :premises (@p193 @p191)) % 0.35/0.67 (step @p195 :rule bool-impl-elim :args (@t17 @t16)) % 0.35/0.67 (step @p196 :rule cong :premises (@p195) :args (@t19)) % 0.35/0.67 (step @p197 :rule refl :args (@t20)) % 0.35/0.67 (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t21)) % 0.35/0.67 (step @p199 :rule refl :args (@t22)) % 0.35/0.67 (step @p200 :rule cong :premises (@p199 @p198) :args (@t23)) % 0.35/0.67 (step @p201 :rule cong :premises (@p200) :args (@t24)) % 0.35/0.67 (step @p202 :rule refl :args (@t2)) % 0.35/0.67 (step @p203 :rule cong :premises (@p202 @p201) :args (@t25)) % 0.35/0.67 (step @p204 :rule cong :premises (@p203) :args (@t26)) % 0.35/0.67 (step @p205 :rule trans :premises (@p204 @p194)) % 0.35/0.67 (step @p206 :rule eq_resolve :premises (@p10 @p205)) % 0.35/0.67 (step @p207 :rule instantiate :premises (@p206) :args ((@list tptp.szNzAzT0 tptp.xS))) % 0.35/0.67 (step @p208 :rule and_elim :premises (@p23) :args (0)) % 0.35/0.67 (step @p209 :rule cnf_or_pos :args (@t170)) % 0.35/0.67 (step @p210 :rule reordering :premises (@p209) :args ((or @t169 @t168 (not @t170)))) % 0.35/0.67 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p207) :args (@t168 @t152 (@list @t49 @t170))) % 0.35/0.67 (step @p212 :rule and_elim :premises (@p75) :args (0)) % 0.35/0.67 (step @p213 :rule cnf_equiv_pos1 :args (@t168)) % 0.35/0.67 (step @p214 :rule reordering :premises (@p213) :args ((or (not @t98) @t167 (not @t168)))) % 0.35/0.67 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p211) :args (@t167 @t152 (@list @t98 @t168))) % 0.35/0.67 (step @p216 :rule cnf_and_pos :args (@t167 0)) % 0.35/0.67 (step @p217 :rule reordering :premises (@p216) :args ((or @t166 (not @t167)))) % 0.35/0.67 (step @p218 :rule chain_m_resolution :premises (@p217 @p215) :args (@t166 @t135 (@list @t167))) % 0.35/0.67 (step @p219 :rule true_intro :premises (@p218)) % 0.35/0.67 (step @p220 :rule and_elim :premises (@p80) :args (2)) % 0.35/0.67 (step @p221 :rule refl :args (tptp.xN)) % 0.35/0.67 (step @p222 :rule cong :premises (@p221 @p176) :args (@t108)) % 0.35/0.67 (step @p223 :rule trans :premises (@p222 @p220)) % 0.35/0.67 (step @p224 :rule cong :premises (@p223) :args (@t171)) % 0.35/0.67 (step @p225 :rule trans :premises (@p224 @p219)) % 0.35/0.67 (step @p226 :rule true_elim :premises (@p225)) % 0.35/0.67 (step @p227 :rule instantiate :premises (@p206) :args ((@list @t107 @t108))) % 0.35/0.67 (step @p228 :rule trans :premises (@p182 @p176)) % 0.35/0.67 (step @p229 :rule cong :premises (@p221 @p228) :args (@t107)) % 0.35/0.67 (step @p230 :rule trans :premises (@p229 @p220)) % 0.35/0.67 (step @p231 :rule cong :premises (@p230) :args (@t172)) % 0.35/0.67 (step @p232 :rule trans :premises (@p231 @p219)) % 0.35/0.67 (step @p233 :rule true_elim :premises (@p232)) % 0.35/0.67 (step @p234 :rule cnf_or_pos :args (@t177)) % 0.35/0.67 (step @p235 :rule reordering :premises (@p234) :args ((or @t176 @t175 (not @t177)))) % 0.35/0.67 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p227) :args (@t175 @t152 (@list @t172 @t177))) % 0.35/0.67 (step @p237 :rule not_implies_elim2 :premises (@p85)) % 0.35/0.67 (step @p238 :rule cnf_equiv_pos2 :args (@t175)) % 0.35/0.67 (step @p239 :rule reordering :premises (@p238) :args ((or @t109 @t178 (not @t175)))) % 0.35/0.67 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p236) :args (@t178 @t144 (@list @t109 @t175))) % 0.35/0.67 (step @p241 :rule cnf_and_neg :args (@t174)) % 0.35/0.67 (step @p242 :rule chain_m_resolution :premises (@p241 @p240 @p226) :args ((not @t173) @t144 (@list @t174 @t171))) % 0.35/0.67 (step @p243 :rule skolemize :premises (@p242)) % 0.35/0.67 (step @p244 :rule bool-double-not-elim :args (@t180)) % 0.35/0.67 (step @p245 :rule refl :args (@t183)) % 0.35/0.67 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t183 (not @t182)))) % 0.35/0.67 (step @p247 :rule cnf_or_neg :args (@t183 0)) % 0.35/0.67 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.35/0.67 (step @p249 :rule reordering :premises (@p248) :args ((or @t180 @t183))) % 0.35/0.67 (step @p250 :rule chain_m_resolution :premises (@p249 @p243) :args (@t180 @t142 @t184)) % 0.35/0.67 (step @p251 :rule cnf_or_neg :args (@t183 1)) % 0.35/0.67 (step @p252 :rule chain_m_resolution :premises (@p251 @p243) :args ((not @t181) @t142 @t184)) % 0.35/0.67 (assume-push @p273 @t133) % 0.35/0.67 (assume-push @p274 @t154) % 0.35/0.67 (assume-push @p275 @t180) % 0.35/0.67 (step @p256 :rule true_intro :premises (@p250)) % 0.35/0.67 (step @p257 :rule cong :premises (@p221 @p149) :args (@t104)) % 0.35/0.67 (step @p258 :rule trans :premises (@p229 @p257)) % 0.35/0.67 (step @p259 :rule refl :args (@t179)) % 0.35/0.67 (step @p260 :rule cong :premises (@p259 @p258) :args (@t181)) % 0.35/0.67 (step @p261 :rule trans :premises (@p260 @p256)) % 0.35/0.67 (step @p262 :rule true_elim :premises (@p261)) % 0.35/0.67 (step-pop @p276 :rule scope :premises (@p262)) % 0.35/0.67 (step-pop @p277 :rule scope :premises (@p276)) % 0.35/0.67 (step-pop @p278 :rule scope :premises (@p277)) % 0.35/0.67 (step @p263 :rule process_scope :premises (@p278) :args (@t181)) % 0.35/0.67 (step @p267 :rule implies_elim :premises (@p263)) % 0.35/0.67 (step @p268 :rule cnf_and_neg :args (@t185)) % 0.35/0.67 (step @p269 :rule resolution :premises (@p268 @p267) :args (true @t185)) % 0.35/0.67 (step @p270 false :rule chain_m_resolution :premises (@p269 @p252 @p250 @p182 @p149) :args (false (@list true false false false) (@list @t181 @t180 @t154 @t133))) % 0.35/0.67 ) % 0.35/0.67 % SZS output end Proof % 0.35/0.67 % cvc5 exiting %------------------------------------------------------------------------------