%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU440+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:48 AM UTC 2026 % Result : Theorem 0.64s 0.87s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU440+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 17:29:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.64/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.87 % SZS status Theorem % 0.64/0.87 % SZS output start Proof % 0.64/0.87 ( % 0.64/0.87 (declare-sort $$unsorted 0) % 0.64/0.87 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k2_funct_5 (-> $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k1_funct_5 (-> $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.64/0.87 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k4_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.87 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.64/0.87 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.64/0.87 (define @t1 () (@var "D" $$unsorted)) % 0.64/0.87 (define @t2 () (tptp.k1_funct_5 @t1)) % 0.64/0.87 (define @t3 () (@var "E" $$unsorted)) % 0.64/0.87 (define @t4 () (@var "C" $$unsorted)) % 0.64/0.87 (define @t5 () (@var "B" $$unsorted)) % 0.64/0.87 (define @t6 () (@var "A" $$unsorted)) % 0.64/0.87 (define @t7 () (tptp.k9_relset_2 @t6 @t5 @t4 @t1 @t3)) % 0.64/0.87 (define @t8 () (tptp.k1_funct_5 @t7)) % 0.64/0.87 (define @t9 () (tptp.k6_relset_1 @t6 @t5 @t1)) % 0.64/0.87 (define @t10 () (and (= @t8 (tptp.k10_relset_1 @t5 @t6 @t9 (tptp.k1_funct_5 @t3))) (tptp.r1_tarski @t8 @t2))) % 0.64/0.87 (define @t11 () (tptp.m2_relset_1 @t3 @t5 @t4)) % 0.64/0.87 (define @t12 () (@list @t3)) % 0.64/0.87 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.64/0.87 (define @t14 () (tptp.m2_relset_1 @t1 @t6 @t5)) % 0.64/0.87 (define @t15 () (=> @t14 @t13)) % 0.64/0.87 (define @t16 () (@list @t6 @t5 @t4 @t1)) % 0.64/0.87 (define @t17 () (forall @t16 @t15)) % 0.64/0.87 (define @t18 () (not @t17)) % 0.64/0.87 (define @t19 () (tptp.r2_hidden @t6 @t5)) % 0.64/0.87 (define @t20 () (@list @t6 @t5)) % 0.64/0.87 (define @t21 () (tptp.v1_relat_1 @t6)) % 0.64/0.87 (define @t22 () (tptp.v1_xboole_0 @t6)) % 0.64/0.87 (define @t23 () (@list @t6)) % 0.64/0.87 (define @t24 () (tptp.v1_relat_1 @t4)) % 0.64/0.87 (define @t25 () (tptp.k2_zfmisc_1 @t6 @t5)) % 0.64/0.87 (define @t26 () (tptp.k1_zfmisc_1 @t25)) % 0.64/0.87 (define @t27 () (tptp.m1_subset_1 @t4 @t26)) % 0.64/0.87 (define @t28 () (@list @t6 @t5 @t4)) % 0.64/0.87 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.64/0.87 (define @t30 () (tptp.k1_zfmisc_1 @t5)) % 0.64/0.87 (define @t31 () (tptp.k10_relset_1 @t6 @t5 @t4 @t1)) % 0.64/0.87 (define @t32 () (tptp.m1_relset_1 @t4 @t6 @t5)) % 0.64/0.87 (define @t33 () (tptp.k4_relat_1 @t6)) % 0.64/0.87 (define @t34 () (tptp.v1_relat_1 @t33)) % 0.64/0.87 (define @t35 () (forall @t23 (=> @t21 @t34))) % 0.64/0.87 (define @t36 () (tptp.k1_zfmisc_1 @t6)) % 0.64/0.87 (define @t37 () (tptp.k4_relset_1 @t6 @t5 @t4)) % 0.64/0.87 (define @t38 () (tptp.m1_subset_1 @t37 @t36)) % 0.64/0.87 (define @t39 () (forall @t28 (=> @t32 @t38))) % 0.64/0.87 (define @t40 () (tptp.k5_relat_1 @t6 @t5)) % 0.64/0.87 (define @t41 () (tptp.v1_relat_1 @t40)) % 0.64/0.87 (define @t42 () (tptp.v1_relat_1 @t5)) % 0.64/0.87 (define @t43 () (tptp.k6_relset_1 @t6 @t5 @t4)) % 0.64/0.87 (define @t44 () (tptp.m2_relset_1 @t43 @t5 @t6)) % 0.64/0.87 (define @t45 () (forall @t28 (=> @t32 @t44))) % 0.64/0.87 (define @t46 () (tptp.m2_relset_1 @t7 @t6 @t4)) % 0.64/0.87 (define @t47 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t5 @t4)))) % 0.64/0.87 (define @t48 () (tptp.m1_subset_1 @t1 @t26)) % 0.64/0.87 (define @t49 () (and @t48 @t47)) % 0.64/0.87 (define @t50 () (@list @t6 @t5 @t4 @t1 @t3)) % 0.64/0.87 (define @t51 () (forall @t50 (=> @t49 @t46))) % 0.64/0.87 (define @t52 () (tptp.m2_relset_1 @t4 @t6 @t5)) % 0.64/0.87 (define @t53 () (forall @t28 (=> @t52 @t27))) % 0.64/0.87 (define @t54 () (@list @t4)) % 0.64/0.87 (define @t55 () (@list @t5)) % 0.64/0.87 (define @t56 () (tptp.k5_relat_1 @t5 @t6)) % 0.64/0.87 (define @t57 () (and @t22 @t42)) % 0.64/0.87 (define @t58 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.64/0.87 (define @t59 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.64/0.87 (define @t60 () (tptp.v1_xboole_0 @t5)) % 0.64/0.87 (define @t61 () (not @t60)) % 0.64/0.87 (define @t62 () (not @t22)) % 0.64/0.87 (define @t63 () (tptp.k1_relat_1 @t6)) % 0.64/0.87 (define @t64 () (tptp.v1_xboole_0 @t63)) % 0.64/0.87 (define @t65 () (and @t62 @t21)) % 0.64/0.87 (define @t66 () (tptp.k2_relat_1 @t6)) % 0.64/0.87 (define @t67 () (tptp.v1_xboole_0 @t66)) % 0.64/0.87 (define @t68 () (tptp.m1_subset_1 @t5 @t36)) % 0.64/0.87 (define @t69 () (= @t31 (tptp.k9_relat_1 @t4 @t1))) % 0.64/0.87 (define @t70 () (forall @t16 (=> @t32 @t69))) % 0.64/0.87 (define @t71 () (= @t37 (tptp.k1_relat_1 @t4))) % 0.64/0.87 (define @t72 () (forall @t28 (=> @t32 @t71))) % 0.64/0.87 (define @t73 () (= @t43 (tptp.k4_relat_1 @t4))) % 0.64/0.87 (define @t74 () (forall @t28 (=> @t32 @t73))) % 0.64/0.87 (define @t75 () (= @t7 (tptp.k5_relat_1 @t1 @t3))) % 0.64/0.87 (define @t76 () (forall @t50 (=> @t49 @t75))) % 0.64/0.87 (define @t77 () (forall @t28 (= @t52 @t32))) % 0.64/0.87 (define @t78 () (tptp.r1_tarski (tptp.k9_relat_1 @t4 @t6) (tptp.k9_relat_1 @t4 @t5))) % 0.64/0.87 (define @t79 () (tptp.r1_tarski @t6 @t5)) % 0.64/0.87 (define @t80 () (=> @t79 @t78)) % 0.64/0.87 (define @t81 () (forall @t28 (=> @t24 @t80))) % 0.64/0.87 (define @t82 () (tptp.k9_relat_1 @t5 @t6)) % 0.64/0.87 (define @t83 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t5 @t4) @t6) (tptp.k9_relat_1 @t4 @t82))) % 0.64/0.87 (define @t84 () (forall @t54 (=> @t24 @t83))) % 0.64/0.87 (define @t85 () (=> @t42 @t84)) % 0.64/0.87 (define @t86 () (forall @t20 @t85)) % 0.64/0.87 (define @t87 () (tptp.m1_subset_1 @t6 @t5)) % 0.64/0.87 (define @t88 () (tptp.k2_funct_5 @t6)) % 0.64/0.87 (define @t89 () (tptp.k1_funct_5 @t6)) % 0.64/0.87 (define @t90 () (and (= @t89 @t63) (= @t88 @t66))) % 0.64/0.87 (define @t91 () (=> @t21 @t90)) % 0.64/0.87 (define @t92 () (forall @t23 @t91)) % 0.64/0.87 (define @t93 () (tptp.m1_subset_1 @t6 @t30)) % 0.64/0.87 (define @t94 () (forall @t20 (= @t93 @t79))) % 0.64/0.87 (define @t95 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t4))) % 0.64/0.87 (define @t96 () (and (= (tptp.k1_funct_5 @t4) (tptp.k10_relset_1 @t6 @t5 (tptp.k6_relset_1 @t5 @t6 @t4) @t6)) (= (tptp.k2_funct_5 @t4) (tptp.k10_relset_1 @t5 @t6 @t4 @t5)))) % 0.64/0.87 (define @t97 () (tptp.m2_relset_1 @t4 @t5 @t6)) % 0.64/0.87 (define @t98 () (forall @t28 (=> @t97 @t96))) % 0.64/0.87 (define @t99 () (= (tptp.k4_relat_1 @t40) (tptp.k5_relat_1 (tptp.k4_relat_1 @t5) @t33))) % 0.64/0.87 (define @t100 () (forall @t55 (=> @t42 @t99))) % 0.64/0.87 (define @t101 () (=> @t21 @t100)) % 0.64/0.87 (define @t102 () (forall @t23 @t101)) % 0.64/0.87 (define @t103 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 0.64/0.87 (define @t104 () (tptp.k1_funct_5 (tptp.k9_relset_2 @t6 @t5 @t4 @t1 @t103))) % 0.64/0.87 (define @t105 () (and (= @t104 (tptp.k10_relset_1 @t5 @t6 @t9 (tptp.k1_funct_5 @t103))) (tptp.r1_tarski @t104 @t2))) % 0.64/0.87 (define @t106 () (not (tptp.m2_relset_1 @t103 @t5 @t4))) % 0.64/0.87 (define @t107 () (not @t14)) % 0.64/0.87 (define @t108 () (or @t107 @t106 @t105)) % 0.64/0.87 (define @t109 () (@list @t6 @t5 @t4 @t1 @t103)) % 0.64/0.87 (define @t110 () (forall @t109 @t108)) % 0.64/0.87 (define @t111 () (@quantifiers_skolemize @t110 3)) % 0.64/0.87 (define @t112 () (@quantifiers_skolemize @t110 1)) % 0.64/0.87 (define @t113 () (@quantifiers_skolemize @t110 0)) % 0.64/0.87 (define @t114 () (tptp.k6_relset_1 @t113 @t112 @t111)) % 0.64/0.87 (define @t115 () (@list @t112 @t113 @t114)) % 0.64/0.87 (define @t116 () (@list @t113 @t112 @t111)) % 0.64/0.87 (define @t117 () (tptp.m1_relset_1 @t111 @t113 @t112)) % 0.64/0.87 (define @t118 () (tptp.m2_relset_1 @t111 @t113 @t112)) % 0.64/0.87 (define @t119 () (forall @t28 (= @t32 @t52))) % 0.64/0.87 (define @t120 () (= @t117 @t118)) % 0.64/0.87 (define @t121 () (= @t118 @t117)) % 0.64/0.87 (define @t122 () (@list false)) % 0.64/0.87 (define @t123 () (@list @t119)) % 0.64/0.87 (define @t124 () (or @t106 @t105)) % 0.64/0.87 (define @t125 () (or @t107 @t124)) % 0.64/0.87 (define @t126 () (forall @t109 @t125)) % 0.64/0.87 (define @t127 () (@list @t103)) % 0.64/0.87 (define @t128 () (forall @t127 @t125)) % 0.64/0.87 (define @t129 () (forall @t127 @t124)) % 0.64/0.87 (define @t130 () (or @t107 @t129)) % 0.64/0.87 (define @t131 () (forall @t12 (or (not @t11) @t10))) % 0.64/0.87 (define @t132 () (tptp.k1_funct_5 @t111)) % 0.64/0.87 (define @t133 () (@quantifiers_skolemize @t110 4)) % 0.64/0.87 (define @t134 () (@quantifiers_skolemize @t110 2)) % 0.64/0.87 (define @t135 () (tptp.k9_relset_2 @t113 @t112 @t134 @t111 @t133)) % 0.64/0.87 (define @t136 () (tptp.k1_funct_5 @t135)) % 0.64/0.87 (define @t137 () (tptp.r1_tarski @t136 @t132)) % 0.64/0.87 (define @t138 () (tptp.k1_funct_5 @t133)) % 0.64/0.87 (define @t139 () (tptp.k10_relset_1 @t112 @t113 @t114 @t138)) % 0.64/0.87 (define @t140 () (= @t136 @t139)) % 0.64/0.87 (define @t141 () (and @t140 @t137)) % 0.64/0.87 (define @t142 () (tptp.m2_relset_1 @t133 @t112 @t134)) % 0.64/0.87 (define @t143 () (not @t142)) % 0.64/0.87 (define @t144 () (not @t118)) % 0.64/0.87 (define @t145 () (or @t144 @t143 @t141)) % 0.64/0.87 (define @t146 () (@list true)) % 0.64/0.87 (define @t147 () (@list @t145)) % 0.64/0.87 (define @t148 () (@list false false)) % 0.64/0.87 (define @t149 () (tptp.m2_relset_1 @t114 @t112 @t113)) % 0.64/0.87 (define @t150 () (not @t117)) % 0.64/0.87 (define @t151 () (or @t150 @t149)) % 0.64/0.87 (define @t152 () (tptp.m1_subset_1 @t114 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t112 @t113)))) % 0.64/0.87 (define @t153 () (not @t149)) % 0.64/0.87 (define @t154 () (or @t153 @t152)) % 0.64/0.87 (define @t155 () (tptp.v1_relat_1 @t114)) % 0.64/0.87 (define @t156 () (not @t152)) % 0.64/0.87 (define @t157 () (or @t156 @t155)) % 0.64/0.87 (define @t158 () (not @t79)) % 0.64/0.87 (define @t159 () (not @t24)) % 0.64/0.87 (define @t160 () (tptp.m1_relset_1 @t114 @t112 @t113)) % 0.64/0.87 (define @t161 () (= @t160 @t149)) % 0.64/0.87 (define @t162 () (tptp.k9_relat_1 @t114 @t138)) % 0.64/0.87 (define @t163 () (= @t139 @t162)) % 0.64/0.87 (define @t164 () (not @t160)) % 0.64/0.87 (define @t165 () (or @t164 @t163)) % 0.64/0.87 (define @t166 () (tptp.k2_funct_5 @t133)) % 0.64/0.87 (define @t167 () (tptp.k6_relset_1 @t112 @t134 @t133)) % 0.64/0.87 (define @t168 () (tptp.k10_relset_1 @t134 @t112 @t167 @t134)) % 0.64/0.87 (define @t169 () (= @t138 @t168)) % 0.64/0.87 (define @t170 () (and @t169 (= @t166 (tptp.k10_relset_1 @t112 @t134 @t133 @t112)))) % 0.64/0.87 (define @t171 () (or @t143 @t170)) % 0.64/0.87 (define @t172 () (@list @t112 @t134 @t133)) % 0.64/0.87 (define @t173 () (tptp.m1_relset_1 @t133 @t112 @t134)) % 0.64/0.87 (define @t174 () (= @t173 @t142)) % 0.64/0.87 (define @t175 () (= @t142 @t173)) % 0.64/0.87 (define @t176 () (tptp.m2_relset_1 @t167 @t134 @t112)) % 0.64/0.87 (define @t177 () (not @t173)) % 0.64/0.87 (define @t178 () (or @t177 @t176)) % 0.64/0.87 (define @t179 () (tptp.m1_relset_1 @t167 @t134 @t112)) % 0.64/0.87 (define @t180 () (= @t179 @t176)) % 0.64/0.87 (define @t181 () (tptp.k9_relat_1 @t167 @t134)) % 0.64/0.87 (define @t182 () (= @t168 @t181)) % 0.64/0.87 (define @t183 () (not @t179)) % 0.64/0.87 (define @t184 () (or @t183 @t182)) % 0.64/0.87 (define @t185 () (tptp.k9_relat_1 @t114 @t181)) % 0.64/0.87 (define @t186 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.64/0.87 (define @t187 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t5 @t186) @t6) (tptp.k9_relat_1 @t186 @t82))) % 0.64/0.87 (define @t188 () (not (tptp.v1_relat_1 @t186))) % 0.64/0.87 (define @t189 () (not @t42)) % 0.64/0.87 (define @t190 () (or @t188 @t187)) % 0.64/0.87 (define @t191 () (or @t189 @t190)) % 0.64/0.87 (define @t192 () (forall (@list @t6 @t5 @t186) @t191)) % 0.64/0.87 (define @t193 () (@list @t186)) % 0.64/0.87 (define @t194 () (forall @t193 @t191)) % 0.64/0.87 (define @t195 () (forall @t193 @t190)) % 0.64/0.87 (define @t196 () (or @t189 @t195)) % 0.64/0.87 (define @t197 () (forall @t54 (or @t159 @t83))) % 0.64/0.87 (define @t198 () (@list @t133)) % 0.64/0.87 (define @t199 () (tptp.m1_subset_1 @t133 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t112 @t134)))) % 0.64/0.87 (define @t200 () (or @t143 @t199)) % 0.64/0.87 (define @t201 () (tptp.v1_relat_1 @t133)) % 0.64/0.87 (define @t202 () (not @t199)) % 0.64/0.87 (define @t203 () (or @t202 @t201)) % 0.64/0.87 (define @t204 () (tptp.k4_relat_1 @t133)) % 0.64/0.87 (define @t205 () (tptp.v1_relat_1 @t204)) % 0.64/0.87 (define @t206 () (not @t201)) % 0.64/0.87 (define @t207 () (or @t206 @t205)) % 0.64/0.87 (define @t208 () (= @t167 @t204)) % 0.64/0.87 (define @t209 () (or @t177 @t208)) % 0.64/0.87 (define @t210 () (tptp.v1_relat_1 @t167)) % 0.64/0.87 (define @t211 () (tptp.k5_relat_1 @t167 @t114)) % 0.64/0.87 (define @t212 () (tptp.k9_relat_1 @t211 @t134)) % 0.64/0.87 (define @t213 () (= @t212 @t185)) % 0.64/0.87 (define @t214 () (not @t155)) % 0.64/0.87 (define @t215 () (not @t210)) % 0.64/0.87 (define @t216 () (or @t215 @t214 @t213)) % 0.64/0.87 (define @t217 () (@list false false false)) % 0.64/0.87 (define @t218 () (tptp.k4_relat_1 @t111)) % 0.64/0.87 (define @t219 () (= @t114 @t218)) % 0.64/0.87 (define @t220 () (or @t150 @t219)) % 0.64/0.87 (define @t221 () (tptp.k5_relat_1 @t204 @t218)) % 0.64/0.87 (define @t222 () (@var "BOUND_VARIABLE_7932" $$unsorted)) % 0.64/0.87 (define @t223 () (= (tptp.k4_relat_1 (tptp.k5_relat_1 @t6 @t222)) (tptp.k5_relat_1 (tptp.k4_relat_1 @t222) @t33))) % 0.64/0.87 (define @t224 () (not (tptp.v1_relat_1 @t222))) % 0.64/0.87 (define @t225 () (not @t21)) % 0.64/0.87 (define @t226 () (or @t224 @t223)) % 0.64/0.87 (define @t227 () (or @t225 @t226)) % 0.64/0.87 (define @t228 () (forall (@list @t6 @t222) @t227)) % 0.64/0.87 (define @t229 () (@list @t222)) % 0.64/0.87 (define @t230 () (forall @t229 @t227)) % 0.64/0.87 (define @t231 () (forall @t229 @t226)) % 0.64/0.87 (define @t232 () (or @t225 @t231)) % 0.64/0.87 (define @t233 () (forall @t55 (or @t189 @t99))) % 0.64/0.87 (define @t234 () (tptp.m1_subset_1 @t111 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t113 @t112)))) % 0.64/0.87 (define @t235 () (or @t144 @t234)) % 0.64/0.87 (define @t236 () (tptp.v1_relat_1 @t111)) % 0.64/0.87 (define @t237 () (not @t234)) % 0.64/0.87 (define @t238 () (or @t237 @t236)) % 0.64/0.87 (define @t239 () (tptp.k5_relat_1 @t111 @t133)) % 0.64/0.87 (define @t240 () (tptp.k4_relat_1 @t239)) % 0.64/0.87 (define @t241 () (= @t240 @t221)) % 0.64/0.87 (define @t242 () (not @t236)) % 0.64/0.87 (define @t243 () (or @t242 @t206 @t241)) % 0.64/0.87 (define @t244 () (not @t47)) % 0.64/0.87 (define @t245 () (not @t48)) % 0.64/0.87 (define @t246 () (or @t245 @t244)) % 0.64/0.87 (define @t247 () (not @t49)) % 0.64/0.87 (define @t248 () (@list @t113 @t112 @t134 @t111 @t133)) % 0.64/0.87 (define @t249 () (= @t135 @t239)) % 0.64/0.87 (define @t250 () (or @t237 @t202 @t249)) % 0.64/0.87 (define @t251 () (tptp.k4_relat_1 @t135)) % 0.64/0.87 (define @t252 () (@list @t113 @t134 @t135)) % 0.64/0.87 (define @t253 () (tptp.m1_relset_1 @t135 @t113 @t134)) % 0.64/0.87 (define @t254 () (tptp.m2_relset_1 @t135 @t113 @t134)) % 0.64/0.87 (define @t255 () (= @t253 @t254)) % 0.64/0.87 (define @t256 () (= @t254 @t253)) % 0.64/0.87 (define @t257 () (or @t237 @t202 @t254)) % 0.64/0.87 (define @t258 () (not @t254)) % 0.64/0.87 (define @t259 () (tptp.k6_relset_1 @t113 @t134 @t135)) % 0.64/0.87 (define @t260 () (= @t259 @t251)) % 0.64/0.87 (define @t261 () (not @t253)) % 0.64/0.87 (define @t262 () (or @t261 @t260)) % 0.64/0.87 (define @t263 () (tptp.k9_relat_1 @t259 @t134)) % 0.64/0.87 (define @t264 () (tptp.m2_relset_1 @t259 @t134 @t113)) % 0.64/0.87 (define @t265 () (or @t261 @t264)) % 0.64/0.87 (define @t266 () (tptp.m1_relset_1 @t259 @t134 @t113)) % 0.64/0.87 (define @t267 () (= @t266 @t264)) % 0.64/0.87 (define @t268 () (tptp.k10_relset_1 @t134 @t113 @t259 @t134)) % 0.64/0.87 (define @t269 () (= @t268 @t263)) % 0.64/0.87 (define @t270 () (not @t266)) % 0.64/0.87 (define @t271 () (or @t270 @t269)) % 0.64/0.87 (define @t272 () (= @t136 @t268)) % 0.64/0.87 (define @t273 () (and @t272 (= (tptp.k2_funct_5 @t135) (tptp.k10_relset_1 @t113 @t134 @t135 @t113)))) % 0.64/0.87 (define @t274 () (or @t258 @t273)) % 0.64/0.87 (define @t275 () (tptp.k10_relset_1 @t112 @t113 @t114 @t112)) % 0.64/0.87 (define @t276 () (= @t132 @t275)) % 0.64/0.87 (define @t277 () (and @t276 (= (tptp.k2_funct_5 @t111) (tptp.k10_relset_1 @t113 @t112 @t111 @t113)))) % 0.64/0.87 (define @t278 () (or @t144 @t277)) % 0.64/0.87 (define @t279 () (tptp.k9_relat_1 @t114 @t112)) % 0.64/0.87 (define @t280 () (= @t275 @t279)) % 0.64/0.87 (define @t281 () (or @t164 @t280)) % 0.64/0.87 (define @t282 () (tptp.r1_tarski @t162 @t279)) % 0.64/0.87 (define @t283 () (tptp.k4_relset_1 @t112 @t134 @t133)) % 0.64/0.87 (define @t284 () (tptp.r1_tarski @t283 @t112)) % 0.64/0.87 (define @t285 () (tptp.m1_subset_1 @t283 (tptp.k1_zfmisc_1 @t112))) % 0.64/0.87 (define @t286 () (forall @t20 (= @t79 @t93))) % 0.64/0.87 (define @t287 () (= @t284 @t285)) % 0.64/0.87 (define @t288 () (= @t285 @t284)) % 0.64/0.87 (define @t289 () (or @t177 @t285)) % 0.64/0.87 (define @t290 () (tptp.k1_relat_1 @t133)) % 0.64/0.87 (define @t291 () (or @t177 (= @t283 @t290))) % 0.64/0.87 (define @t292 () (forall @t28 (or (not @t32) @t71))) % 0.64/0.87 (define @t293 () (= @t290 @t283)) % 0.64/0.87 (define @t294 () (or @t177 @t293)) % 0.64/0.87 (define @t295 () (and (= @t63 @t89) (= @t66 @t88))) % 0.64/0.87 (define @t296 () (= (tptp.k2_relat_1 @t133) @t166)) % 0.64/0.87 (define @t297 () (and (= @t290 @t138) @t296)) % 0.64/0.87 (define @t298 () (or @t206 @t297)) % 0.64/0.87 (define @t299 () (forall @t23 (or @t225 @t295))) % 0.64/0.87 (define @t300 () (= @t138 @t290)) % 0.64/0.87 (define @t301 () (and @t300 @t296)) % 0.64/0.87 (define @t302 () (or @t206 @t301)) % 0.64/0.87 (define @t303 () (tptp.r1_tarski @t138 @t112)) % 0.64/0.87 (define @t304 () (not @t303)) % 0.64/0.87 (define @t305 () (or @t214 @t304 @t282)) % 0.64/0.87 (assume @p1 @t18) % 0.64/0.87 (assume @p2 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t5 @t6))))) % 0.64/0.87 (assume @p3 (forall @t23 (=> @t22 @t21))) % 0.64/0.87 (assume @p4 @t29) % 0.64/0.87 (assume @p5 (forall @t16 (=> @t32 (tptp.m1_subset_1 @t31 @t30)))) % 0.64/0.87 (assume @p6 true) % 0.64/0.87 (assume @p7 @t35) % 0.64/0.87 (assume @p8 @t39) % 0.64/0.87 (assume @p9 (forall @t20 (=> (and @t21 @t42) @t41))) % 0.64/0.87 (assume @p10 @t45) % 0.64/0.87 (assume @p11 @t51) % 0.64/0.87 (assume @p12 @t53) % 0.64/0.87 (assume @p13 (forall @t20 (exists @t54 @t32))) % 0.64/0.87 (assume @p14 (forall @t23 (exists @t55 (tptp.m1_subset_1 @t5 @t6)))) % 0.64/0.87 (assume @p15 (forall @t20 (exists @t54 @t52))) % 0.64/0.87 (assume @p16 (forall @t20 (=> @t57 (and (tptp.v1_xboole_0 @t56) (tptp.v1_relat_1 @t56))))) % 0.64/0.87 (assume @p17 (forall @t23 (=> @t22 (and (tptp.v1_xboole_0 @t33) @t34)))) % 0.64/0.87 (assume @p18 (and @t59 @t58 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.64/0.87 (assume @p19 (forall @t23 (not (tptp.v1_xboole_0 @t36)))) % 0.64/0.87 (assume @p20 (forall @t20 (tptp.v1_relat_1 @t25))) % 0.64/0.87 (assume @p21 (and @t59 @t58)) % 0.64/0.87 (assume @p22 (forall @t20 (=> (and @t62 @t61) (not (tptp.v1_xboole_0 @t25))))) % 0.64/0.87 (assume @p23 (forall @t23 (=> @t65 (not @t64)))) % 0.64/0.87 (assume @p24 (forall @t23 (=> @t65 (not @t67)))) % 0.64/0.87 (assume @p25 (forall @t23 (=> @t22 (and @t64 (tptp.v1_relat_1 @t63))))) % 0.64/0.87 (assume @p26 (forall @t23 (=> @t22 (and @t67 (tptp.v1_relat_1 @t66))))) % 0.64/0.87 (assume @p27 (forall @t20 (=> @t57 (and (tptp.v1_xboole_0 @t40) @t41)))) % 0.64/0.87 (assume @p28 (forall @t23 (=> @t21 (= (tptp.k4_relat_1 @t33) @t6)))) % 0.64/0.87 (assume @p29 (forall @t28 (=> @t32 (= (tptp.k6_relset_1 @t6 @t5 @t43) @t4)))) % 0.64/0.87 (assume @p30 (exists @t23 (and @t22 @t21))) % 0.64/0.87 (assume @p31 (forall @t23 (=> @t62 (exists @t55 (and @t68 @t61))))) % 0.64/0.87 (assume @p32 (exists @t23 @t65)) % 0.64/0.87 (assume @p33 (forall @t23 (exists @t55 (and @t68 @t60)))) % 0.64/0.87 (assume @p34 (exists @t23 (and @t21 (tptp.v3_relat_1 @t6)))) % 0.64/0.87 (assume @p35 @t70) % 0.64/0.87 (assume @p36 @t72) % 0.64/0.87 (assume @p37 @t74) % 0.64/0.87 (assume @p38 @t76) % 0.64/0.87 (assume @p39 @t77) % 0.64/0.87 (assume @p40 (forall @t20 (tptp.r1_tarski @t6 @t6))) % 0.64/0.87 (assume @p41 @t81) % 0.64/0.87 (assume @p42 @t86) % 0.64/0.87 (assume @p43 (forall @t20 (=> @t19 @t87))) % 0.64/0.87 (assume @p44 @t92) % 0.64/0.87 (assume @p45 (forall @t20 (=> @t87 (or @t60 @t19)))) % 0.64/0.87 (assume @p46 @t94) % 0.64/0.87 (assume @p47 (forall @t28 (=> (and @t19 @t95) (tptp.m1_subset_1 @t6 @t4)))) % 0.64/0.87 (assume @p48 @t98) % 0.64/0.87 (assume @p49 @t102) % 0.64/0.87 (assume @p50 (forall @t28 (not (and @t19 @t95 (tptp.v1_xboole_0 @t4))))) % 0.64/0.87 (assume @p51 (forall @t23 (=> @t22 (= @t6 tptp.k1_xboole_0)))) % 0.64/0.87 (assume @p52 (forall @t20 (not (and @t19 @t60)))) % 0.64/0.87 (assume @p53 (forall @t20 (not (and @t22 (not (= @t6 @t5)) @t60)))) % 0.64/0.87 (step @p54 :rule bool-impl-elim :args (@t27 @t24)) % 0.64/0.87 (step @p55 :rule cong :premises (@p54) :args (@t29)) % 0.64/0.87 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 0.64/0.87 (step @p57 :rule instantiate :premises (@p56) :args (@t115)) % 0.64/0.87 (step @p58 :rule bool-impl-elim :args (@t52 @t27)) % 0.64/0.87 (step @p59 :rule cong :premises (@p58) :args (@t53)) % 0.64/0.87 (step @p60 :rule eq_resolve :premises (@p12 @p59)) % 0.64/0.87 (step @p61 :rule instantiate :premises (@p60) :args (@t115)) % 0.64/0.87 (step @p62 :rule bool-impl-elim :args (@t32 @t44)) % 0.64/0.87 (step @p63 :rule cong :premises (@p62) :args (@t45)) % 0.64/0.87 (step @p64 :rule eq_resolve :premises (@p10 @p63)) % 0.64/0.87 (step @p65 :rule instantiate :premises (@p64) :args (@t116)) % 0.64/0.87 (step @p66 :rule eq-symm :args (@t52 @t32)) % 0.64/0.87 (step @p67 :rule cong :premises (@p66) :args (@t77)) % 0.64/0.87 (step @p68 :rule eq_resolve :premises (@p39 @p67)) % 0.64/0.87 (step @p69 :rule eq-symm :args (@t117 @t118)) % 0.64/0.87 (step @p70 :rule refl :args (@t119)) % 0.64/0.87 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t119 @t120))) % 0.64/0.87 (assume-push @p461 @t119) % 0.64/0.87 (step @p73 :rule instantiate :premises (@p68) :args (@t116)) % 0.64/0.87 (step-pop @p462 :rule scope :premises (@p73)) % 0.64/0.87 (step @p74 :rule process_scope :premises (@p462) :args (@t120)) % 0.64/0.87 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.64/0.87 (step @p77 :rule implies_elim :premises (@p76)) % 0.64/0.87 (step @p78 :rule chain_m_resolution :premises (@p77 @p68) :args (@t121 @t122 @t123)) % 0.64/0.87 (step @p79 :rule aci_norm :args ((= @t125 @t108))) % 0.64/0.87 (step @p80 :rule cong :premises (@p79) :args (@t126)) % 0.64/0.87 (step @p81 :rule quant-merge-prenex :args ((= (forall @t16 @t128) @t126))) % 0.64/0.87 (step @p82 :rule alpha_equiv :args (@t129 (@list @t103) (@list @t3))) % 0.64/0.87 (step @p83 :rule refl :args (@t107)) % 0.64/0.87 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t130)) % 0.64/0.87 (step @p85 :rule quant-miniscope-or :args ((= @t128 @t130))) % 0.64/0.87 (step @p86 :rule trans :premises (@p85 @p84)) % 0.64/0.87 (step @p87 :rule symm :premises (@p86)) % 0.64/0.87 (step @p88 :rule cong :premises (@p87) :args ((forall @t16 (or @t107 @t131)))) % 0.64/0.87 (step @p89 :rule trans :premises (@p88 @p81)) % 0.64/0.87 (step @p90 :rule trans :premises (@p89 @p80)) % 0.64/0.87 (step @p91 :rule bool-impl-elim :args (@t14 @t131)) % 0.64/0.87 (step @p92 :rule cong :premises (@p91) :args ((forall @t16 (=> @t14 @t131)))) % 0.64/0.87 (step @p93 :rule trans :premises (@p92 @p90)) % 0.64/0.87 (step @p94 :rule bool-impl-elim :args (@t11 @t10)) % 0.64/0.87 (step @p95 :rule cong :premises (@p94) :args (@t13)) % 0.64/0.87 (step @p96 :rule refl :args (@t14)) % 0.64/0.87 (step @p97 :rule cong :premises (@p96 @p95) :args (@t15)) % 0.64/0.87 (step @p98 :rule cong :premises (@p97) :args (@t17)) % 0.64/0.87 (step @p99 :rule trans :premises (@p98 @p93)) % 0.64/0.87 (step @p100 :rule cong :premises (@p99) :args (@t18)) % 0.64/0.87 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 0.64/0.87 (step @p102 :rule skolemize :premises (@p101)) % 0.64/0.87 (step @p103 :rule bool-double-not-elim :args (@t118)) % 0.64/0.87 (step @p104 :rule refl :args (@t145)) % 0.64/0.87 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t145 (not @t144)))) % 0.64/0.87 (step @p106 :rule cnf_or_neg :args (@t145 0)) % 0.64/0.87 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.64/0.87 (step @p108 :rule reordering :premises (@p107) :args ((or @t118 @t145))) % 0.64/0.87 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t118 @t146 @t147)) % 0.64/0.87 (step @p110 :rule cnf_equiv_pos1 :args (@t121)) % 0.64/0.87 (step @p111 :rule reordering :premises (@p110) :args ((or @t144 @t117 (not @t121)))) % 0.64/0.87 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p78) :args (@t117 @t148 (@list @t118 @t121))) % 0.64/0.87 (step @p113 :rule cnf_or_pos :args (@t151)) % 0.64/0.87 (step @p114 :rule reordering :premises (@p113) :args ((or @t150 @t149 (not @t151)))) % 0.64/0.87 (step @p115 :rule 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(not @t273)))) % 0.64/0.87 (step @p345 :rule chain_m_resolution :premises (@p344 @p342) :args (@t272 @t122 (@list @t273))) % 0.64/0.87 (step @p346 :rule trans :premises (@p345 @p338 @p326 @p240 @p188 @p143)) % 0.64/0.87 (step @p347 :rule cnf_or_neg :args (@t145 2)) % 0.64/0.87 (step @p348 :rule chain_m_resolution :premises (@p347 @p102) :args ((not @t141) @t146 @t147)) % 0.64/0.87 (step @p349 :rule cnf_and_neg :args (@t141)) % 0.64/0.87 (step @p350 :rule chain_m_resolution :premises (@p349 @p348 @p346) :args ((not @t137) (@list true false) (@list @t141 @t140))) % 0.64/0.87 (step @p351 :rule false_intro :premises (@p350)) % 0.64/0.87 (step @p352 :rule instantiate :premises (@p146) :args ((@list @t112 @t113 @t111))) % 0.64/0.87 (step @p353 :rule cnf_or_pos :args (@t278)) % 0.64/0.87 (step @p354 :rule reordering :premises (@p353) :args ((or @t144 @t277 (not @t278)))) % 0.64/0.87 (step @p355 :rule chain_m_resolution :premises (@p354 @p109 @p352) :args (@t277 @t148 (@list @t118 @t278))) % 0.64/0.87 (step @p356 :rule cnf_and_pos :args (@t277 0)) % 0.64/0.87 (step @p357 :rule reordering :premises (@p356) :args ((or @t276 (not @t277)))) % 0.64/0.87 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t276 @t122 (@list @t277))) % 0.64/0.87 (step @p359 :rule symm :premises (@p358)) % 0.64/0.87 (step @p360 :rule instantiate :premises (@p134) :args ((@list @t112 @t113 @t114 @t112))) % 0.64/0.87 (step @p361 :rule cnf_or_pos :args (@t281)) % 0.64/0.87 (step @p362 :rule reordering :premises (@p361) :args ((or @t164 @t280 (not @t281)))) % 0.64/0.87 (step @p363 :rule chain_m_resolution :premises (@p362 @p139 @p360) :args (@t280 @t148 (@list @t160 @t281))) % 0.64/0.87 (step @p364 :rule symm :premises (@p363)) % 0.64/0.87 (step @p365 :rule trans :premises (@p364 @p359)) % 0.64/0.87 (step @p366 :rule symm :premises (@p345)) % 0.64/0.87 (step @p367 :rule symm :premises (@p338)) % 0.64/0.87 (step @p368 :rule symm :premises (@p324)) % 0.64/0.87 (step @p369 :rule symm :premises (@p295)) % 0.64/0.87 (step @p370 :rule cong :premises (@p369) :args (@t240)) % 0.64/0.87 (step @p371 :rule symm :premises (@p282)) % 0.64/0.87 (step @p372 :rule cong :premises (@p234 @p245) :args (@t211)) % 0.64/0.87 (step @p373 :rule trans :premises (@p372 @p371 @p370 @p368)) % 0.64/0.87 (step @p374 :rule cong :premises (@p373 @p241) :args (@t212)) % 0.64/0.87 (step @p375 :rule symm :premises (@p240)) % 0.64/0.87 (step @p376 :rule trans :premises (@p159 @p184)) % 0.64/0.87 (step @p377 :rule cong :premises (@p187 @p376) :args (@t162)) % 0.64/0.87 (step @p378 :rule trans :premises (@p377 @p375 @p374 @p367 @p366)) % 0.64/0.87 (step @p379 :rule cong :premises (@p378 @p365) :args (@t282)) % 0.64/0.87 (step @p380 :rule trans :premises (@p379 @p351)) % 0.64/0.87 (step @p381 :rule false_elim :premises (@p380)) % 0.64/0.87 (step @p382 :rule eq-symm :args (@t93 @t79)) % 0.64/0.87 (step @p383 :rule cong :premises (@p382) :args (@t94)) % 0.64/0.87 (step @p384 :rule eq_resolve :premises (@p46 @p383)) % 0.64/0.87 (step @p385 :rule eq-symm :args (@t284 @t285)) % 0.64/0.87 (step @p386 :rule refl :args (@t286)) % 0.64/0.87 (step @p387 :rule cong :premises (@p386 @p385) :args ((=> @t286 @t287))) % 0.64/0.87 (assume-push @p467 @t286) % 0.64/0.87 (step @p389 :rule instantiate :premises (@p384) :args ((@list @t283 @t112))) % 0.64/0.87 (step-pop @p468 :rule scope :premises (@p389)) % 0.64/0.87 (step @p390 :rule process_scope :premises (@p468) :args (@t287)) % 0.64/0.87 (step @p392 :rule eq_resolve :premises (@p390 @p387)) % 0.64/0.87 (step @p393 :rule implies_elim :premises (@p392)) % 0.64/0.87 (step @p394 :rule chain_m_resolution :premises (@p393 @p384) :args (@t288 @t122 (@list @t286))) % 0.64/0.87 (step @p395 :rule bool-impl-elim :args (@t32 @t38)) % 0.64/0.87 (step @p396 :rule cong :premises (@p395) :args (@t39)) % 0.64/0.87 (step @p397 :rule eq_resolve :premises (@p8 @p396)) % 0.64/0.87 (step @p398 :rule instantiate :premises (@p397) :args (@t172)) % 0.64/0.87 (step @p399 :rule cnf_or_pos :args (@t289)) % 0.64/0.87 (step @p400 :rule reordering :premises (@p399) :args ((or @t177 @t285 (not @t289)))) % 0.64/0.87 (step @p401 :rule chain_m_resolution :premises (@p400 @p175 @p398) :args (@t285 @t148 (@list @t173 @t289))) % 0.64/0.87 (step @p402 :rule cnf_equiv_pos1 :args (@t288)) % 0.64/0.87 (step @p403 :rule reordering :premises (@p402) :args ((or (not @t285) @t284 (not @t288)))) % 0.64/0.87 (step @p404 :rule chain_m_resolution :premises (@p403 @p401 @p394) :args (@t284 @t148 (@list @t285 @t288))) % 0.64/0.87 (step @p405 :rule true_intro :premises (@p404)) % 0.64/0.87 (step @p406 :rule refl :args (@t112)) % 0.64/0.87 (step @p407 :rule bool-impl-elim :args (@t32 @t71)) % 0.64/0.87 (step @p408 :rule cong :premises (@p407) :args (@t72)) % 0.64/0.87 (step @p409 :rule eq_resolve :premises (@p36 @p408)) % 0.64/0.87 (step @p410 :rule eq-symm :args (@t283 @t290)) % 0.64/0.87 (step @p411 :rule refl :args (@t177)) % 0.64/0.87 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t291)) % 0.64/0.87 (step @p413 :rule refl :args (@t292)) % 0.64/0.87 (step @p414 :rule cong :premises (@p413 @p412) :args ((=> @t292 @t291))) % 0.64/0.87 (assume-push @p469 @t292) % 0.64/0.87 (step @p416 :rule instantiate :premises (@p409) :args (@t172)) % 0.64/0.87 (step-pop @p470 :rule scope :premises (@p416)) % 0.64/0.87 (step @p417 :rule process_scope :premises (@p470) :args (@t291)) % 0.64/0.87 (step @p419 :rule eq_resolve :premises (@p417 @p414)) % 0.64/0.87 (step @p420 :rule implies_elim :premises (@p419)) % 0.64/0.87 (step @p421 :rule chain_m_resolution :premises (@p420 @p409) :args (@t294 @t122 (@list @t292))) % 0.64/0.87 (step @p422 :rule cnf_or_pos :args (@t294)) % 0.64/0.88 (step @p423 :rule reordering :premises (@p422) :args ((or @t177 @t293 (not @t294)))) % 0.64/0.88 (step @p424 :rule chain_m_resolution :premises (@p423 @p175 @p421) :args (@t293 @t148 (@list @t173 @t294))) % 0.64/0.88 (step @p425 :rule bool-impl-elim :args (@t21 @t295)) % 0.64/0.88 (step @p426 :rule cong :premises (@p425) :args ((forall @t23 (=> @t21 @t295)))) % 0.64/0.88 (step @p427 :rule eq-symm :args (@t88 @t66)) % 0.64/0.88 (step @p428 :rule eq-symm :args (@t89 @t63)) % 0.64/0.88 (step @p429 :rule nary_cong :premises (@p428 @p427) :args (@t90)) % 0.64/0.88 (step @p430 :rule cong :premises (@p266 @p429) :args (@t91)) % 0.64/0.88 (step @p431 :rule cong :premises (@p430) :args (@t92)) % 0.64/0.88 (step @p432 :rule trans :premises (@p431 @p426)) % 0.64/0.88 (step @p433 :rule eq_resolve :premises (@p44 @p432)) % 0.64/0.88 (step @p434 :rule refl :args (@t296)) % 0.64/0.88 (step @p435 :rule eq-symm :args (@t290 @t138)) % 0.64/0.88 (step @p436 :rule nary_cong :premises (@p435 @p434) :args (@t297)) % 0.64/0.88 (step @p437 :rule refl :args (@t206)) % 0.64/0.88 (step @p438 :rule nary_cong :premises (@p437 @p436) :args (@t298)) % 0.64/0.88 (step @p439 :rule refl :args (@t299)) % 0.64/0.88 (step @p440 :rule cong :premises (@p439 @p438) :args ((=> @t299 @t298))) % 0.64/0.88 (assume-push @p471 @t299) % 0.64/0.88 (step @p442 :rule instantiate :premises (@p433) :args (@t198)) % 0.64/0.88 (step-pop @p472 :rule scope :premises (@p442)) % 0.64/0.88 (step @p443 :rule process_scope :premises (@p472) :args (@t298)) % 0.64/0.88 (step @p445 :rule eq_resolve :premises (@p443 @p440)) % 0.64/0.88 (step @p446 :rule implies_elim :premises (@p445)) % 0.64/0.88 (step @p447 :rule chain_m_resolution :premises (@p446 @p433) :args (@t302 @t122 (@list @t299))) % 0.64/0.88 (step @p448 :rule cnf_or_pos :args (@t302)) % 0.64/0.88 (step @p449 :rule reordering :premises (@p448) :args ((or @t206 @t301 (not @t302)))) % 0.64/0.88 (step @p450 :rule chain_m_resolution :premises (@p449 @p223 @p447) :args (@t301 @t148 (@list @t201 @t302))) % 0.64/0.88 (step @p451 :rule cnf_and_pos :args (@t301 0)) % 0.64/0.88 (step @p452 :rule reordering :premises (@p451) :args ((or @t300 (not @t301)))) % 0.64/0.88 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t300 @t122 (@list @t301))) % 0.64/0.88 (step @p454 :rule trans :premises (@p453 @p424)) % 0.64/0.88 (step @p455 :rule cong :premises (@p454 @p406) :args (@t303)) % 0.64/0.88 (step @p456 :rule trans :premises (@p455 @p405)) % 0.64/0.88 (step @p457 :rule true_elim :premises (@p456)) % 0.64/0.88 (step @p458 :rule cnf_or_pos :args (@t305)) % 0.64/0.88 (step @p459 :rule reordering :premises (@p458) :args ((or @t214 @t304 @t282 (not @t305)))) % 0.64/0.88 (step @p460 false :rule chain_m_resolution :premises (@p459 @p457 @p381 @p131 @p121) :args (false (@list false true false false) (@list @t303 @t282 @t305 @t155))) % 0.64/0.88 ) % 0.64/0.88 % SZS output end Proof % 0.64/0.88 % cvc5 exiting %------------------------------------------------------------------------------