%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU447+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:51:51 AM UTC 2026 % Result : Theorem 0.34s 0.66s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU447+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 17:33:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.66 % SZS status Theorem % 0.34/0.66 % SZS output start Proof % 0.34/0.66 ( % 0.34/0.66 (declare-sort $$unsorted 0) % 0.34/0.66 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.34/0.66 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k3_subset_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.34/0.66 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.34/0.66 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.34/0.66 (define @t1 () (@var "F" $$unsorted)) % 0.34/0.66 (define @t2 () (@var "C" $$unsorted)) % 0.34/0.66 (define @t3 () (@var "B" $$unsorted)) % 0.34/0.66 (define @t4 () (tptp.k2_zfmisc_1 @t3 @t2)) % 0.34/0.66 (define @t5 () (@var "E" $$unsorted)) % 0.34/0.66 (define @t6 () (@var "A" $$unsorted)) % 0.34/0.66 (define @t7 () (tptp.k2_zfmisc_1 @t6 @t2)) % 0.34/0.66 (define @t8 () (@var "D" $$unsorted)) % 0.34/0.66 (define @t9 () (tptp.k10_relset_1 @t6 @t3 @t5 @t8)) % 0.34/0.66 (define @t10 () (= (tptp.k8_relset_2 @t3 @t2 @t9 @t1) (tptp.k8_relset_2 @t6 @t2 @t8 (tptp.k3_subset_1 @t7 (tptp.k9_relset_2 @t6 @t3 @t2 @t5 (tptp.k3_subset_1 @t4 @t1)))))) % 0.34/0.66 (define @t11 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 0.34/0.66 (define @t12 () (@list @t1)) % 0.34/0.66 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.34/0.66 (define @t14 () (tptp.m2_relset_1 @t5 @t6 @t3)) % 0.34/0.66 (define @t15 () (=> @t14 @t13)) % 0.34/0.66 (define @t16 () (@list @t5)) % 0.34/0.66 (define @t17 () (forall @t16 @t15)) % 0.34/0.66 (define @t18 () (tptp.k1_zfmisc_1 @t6)) % 0.34/0.66 (define @t19 () (tptp.m1_subset_1 @t8 @t18)) % 0.34/0.66 (define @t20 () (=> @t19 @t17)) % 0.34/0.66 (define @t21 () (@list @t6 @t3 @t2 @t8)) % 0.34/0.66 (define @t22 () (forall @t21 @t20)) % 0.34/0.66 (define @t23 () (not @t22)) % 0.34/0.66 (define @t24 () (tptp.r2_hidden @t6 @t3)) % 0.34/0.66 (define @t25 () (@list @t6 @t3)) % 0.34/0.66 (define @t26 () (tptp.v1_relat_1 @t6)) % 0.34/0.66 (define @t27 () (tptp.v1_xboole_0 @t6)) % 0.34/0.66 (define @t28 () (@list @t6)) % 0.34/0.66 (define @t29 () (tptp.v1_relat_1 @t2)) % 0.34/0.66 (define @t30 () (tptp.k2_zfmisc_1 @t6 @t3)) % 0.34/0.66 (define @t31 () (tptp.k1_zfmisc_1 @t30)) % 0.34/0.66 (define @t32 () (tptp.m1_subset_1 @t2 @t31)) % 0.34/0.66 (define @t33 () (@list @t6 @t3 @t2)) % 0.34/0.66 (define @t34 () (forall @t33 (=> @t32 @t29))) % 0.34/0.66 (define @t35 () (tptp.k7_relset_2 @t6 @t3 @t2 @t8)) % 0.34/0.66 (define @t36 () (tptp.m1_subset_1 @t8 @t31)) % 0.34/0.66 (define @t37 () (@list @t8)) % 0.34/0.66 (define @t38 () (tptp.m1_subset_1 @t2 @t18)) % 0.34/0.66 (define @t39 () (tptp.k1_zfmisc_1 @t3)) % 0.34/0.66 (define @t40 () (tptp.k10_relset_1 @t6 @t3 @t2 @t8)) % 0.34/0.66 (define @t41 () (tptp.m1_subset_1 @t40 @t39)) % 0.34/0.66 (define @t42 () (tptp.m1_relset_1 @t2 @t6 @t3)) % 0.34/0.66 (define @t43 () (forall @t21 (=> @t42 @t41))) % 0.34/0.66 (define @t44 () (tptp.k3_subset_1 @t6 @t3)) % 0.34/0.66 (define @t45 () (tptp.m1_subset_1 @t44 @t18)) % 0.34/0.66 (define @t46 () (tptp.m1_subset_1 @t3 @t18)) % 0.34/0.66 (define @t47 () (forall @t25 (=> @t46 @t45))) % 0.34/0.66 (define @t48 () (tptp.k4_relset_2 @t6 @t3 @t2 @t8)) % 0.34/0.66 (define @t49 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t39)))) % 0.34/0.66 (define @t50 () (tptp.k5_relat_1 @t6 @t3)) % 0.34/0.66 (define @t51 () (tptp.v1_relat_1 @t50)) % 0.34/0.66 (define @t52 () (tptp.v1_relat_1 @t3)) % 0.34/0.66 (define @t53 () (tptp.k5_relset_2 @t6 @t3)) % 0.34/0.66 (define @t54 () (tptp.k6_relset_2 @t6 @t3 @t2)) % 0.34/0.66 (define @t55 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t6)))) % 0.34/0.66 (define @t56 () (tptp.k8_relset_2 @t6 @t3 @t2 @t8)) % 0.34/0.66 (define @t57 () (tptp.m1_subset_1 @t56 @t39)) % 0.34/0.66 (define @t58 () (and @t38 @t36)) % 0.34/0.66 (define @t59 () (forall @t21 (=> @t58 @t57))) % 0.34/0.66 (define @t60 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t18))) % 0.34/0.66 (define @t61 () (tptp.k9_relset_2 @t6 @t3 @t2 @t8 @t5)) % 0.34/0.66 (define @t62 () (tptp.m2_relset_1 @t61 @t6 @t2)) % 0.34/0.66 (define @t63 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t4))) % 0.34/0.66 (define @t64 () (and @t36 @t63)) % 0.34/0.66 (define @t65 () (@list @t6 @t3 @t2 @t8 @t5)) % 0.34/0.66 (define @t66 () (forall @t65 (=> @t64 @t62))) % 0.34/0.66 (define @t67 () (tptp.m1_eqrel_1 @t3 @t6)) % 0.34/0.66 (define @t68 () (tptp.m2_relset_1 @t2 @t6 @t3)) % 0.34/0.66 (define @t69 () (forall @t33 (=> @t68 @t32))) % 0.34/0.66 (define @t70 () (@list @t3)) % 0.34/0.66 (define @t71 () (@list @t2)) % 0.34/0.66 (define @t72 () (tptp.k5_relat_1 @t3 @t6)) % 0.34/0.66 (define @t73 () (and @t27 @t52)) % 0.34/0.66 (define @t74 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.34/0.66 (define @t75 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.34/0.66 (define @t76 () (tptp.v1_xboole_0 @t3)) % 0.34/0.66 (define @t77 () (not @t76)) % 0.34/0.66 (define @t78 () (not @t27)) % 0.34/0.66 (define @t79 () (tptp.k3_subset_1 @t6 @t44)) % 0.34/0.66 (define @t80 () (=> @t46 (= @t79 @t3))) % 0.34/0.66 (define @t81 () (forall @t25 @t80)) % 0.34/0.66 (define @t82 () (tptp.k9_relat_1 @t2 @t8)) % 0.34/0.66 (define @t83 () (= @t40 @t82)) % 0.34/0.66 (define @t84 () (forall @t21 (=> @t42 @t83))) % 0.34/0.66 (define @t85 () (= @t61 (tptp.k5_relat_1 @t8 @t5))) % 0.34/0.66 (define @t86 () (forall @t65 (=> @t64 @t85))) % 0.34/0.66 (define @t87 () (forall @t33 (= @t68 @t42))) % 0.34/0.66 (define @t88 () (tptp.k9_relat_1 @t3 @t6)) % 0.34/0.66 (define @t89 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t3 @t2) @t6) (tptp.k9_relat_1 @t2 @t88))) % 0.34/0.66 (define @t90 () (forall @t71 (=> @t29 @t89))) % 0.34/0.66 (define @t91 () (=> @t52 @t90)) % 0.34/0.66 (define @t92 () (forall @t25 @t91)) % 0.34/0.66 (define @t93 () (tptp.m1_subset_1 @t6 @t3)) % 0.34/0.66 (define @t94 () (tptp.k3_subset_1 @t30 @t8)) % 0.34/0.66 (define @t95 () (= (tptp.k3_subset_1 @t3 @t56) (tptp.k9_relat_1 @t94 @t2))) % 0.34/0.66 (define @t96 () (forall @t37 (=> @t36 @t95))) % 0.34/0.66 (define @t97 () (=> @t38 @t96)) % 0.34/0.66 (define @t98 () (forall @t33 @t97)) % 0.34/0.66 (define @t99 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2))) % 0.34/0.66 (define @t100 () (= (tptp.k3_subset_1 @t3 (tptp.k10_relset_1 @t6 @t3 @t8 @t2)) (tptp.k8_relset_2 @t6 @t3 @t2 @t94))) % 0.34/0.66 (define @t101 () (tptp.m2_relset_1 @t8 @t6 @t3)) % 0.34/0.66 (define @t102 () (forall @t37 (=> @t101 @t100))) % 0.34/0.66 (define @t103 () (=> @t38 @t102)) % 0.34/0.66 (define @t104 () (forall @t33 @t103)) % 0.34/0.66 (define @t105 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 0.34/0.66 (define @t106 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 0.34/0.66 (define @t107 () (= (tptp.k8_relset_2 @t3 @t2 (tptp.k10_relset_1 @t6 @t3 @t106 @t8) @t105) (tptp.k8_relset_2 @t6 @t2 @t8 (tptp.k3_subset_1 @t7 (tptp.k9_relset_2 @t6 @t3 @t2 @t106 (tptp.k3_subset_1 @t4 @t105)))))) % 0.34/0.66 (define @t108 () (not (tptp.m2_relset_1 @t105 @t3 @t2))) % 0.34/0.66 (define @t109 () (not (tptp.m2_relset_1 @t106 @t6 @t3))) % 0.34/0.66 (define @t110 () (not @t19)) % 0.34/0.66 (define @t111 () (or @t110 @t109 @t108 @t107)) % 0.34/0.66 (define @t112 () (or @t109 @t108 @t107)) % 0.34/0.66 (define @t113 () (or @t110 @t112)) % 0.34/0.66 (define @t114 () (@list @t6 @t3 @t2 @t8 @t106 @t105)) % 0.34/0.66 (define @t115 () (forall @t114 @t113)) % 0.34/0.66 (define @t116 () (@list @t106 @t105)) % 0.34/0.66 (define @t117 () (forall @t116 @t113)) % 0.34/0.66 (define @t118 () (forall @t116 @t112)) % 0.34/0.66 (define @t119 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.34/0.66 (define @t120 () (or @t110 @t118)) % 0.34/0.66 (define @t121 () (= (tptp.k8_relset_2 @t3 @t2 @t9 @t119) (tptp.k8_relset_2 @t6 @t2 @t8 (tptp.k3_subset_1 @t7 (tptp.k9_relset_2 @t6 @t3 @t2 @t5 (tptp.k3_subset_1 @t4 @t119)))))) % 0.34/0.66 (define @t122 () (not (tptp.m2_relset_1 @t119 @t3 @t2))) % 0.34/0.66 (define @t123 () (not @t14)) % 0.34/0.66 (define @t124 () (or @t123 @t122 @t121)) % 0.34/0.66 (define @t125 () (@list @t5 @t119)) % 0.34/0.66 (define @t126 () (forall @t125 @t124)) % 0.34/0.66 (define @t127 () (or @t122 @t121)) % 0.34/0.66 (define @t128 () (or @t123 @t127)) % 0.34/0.66 (define @t129 () (forall @t125 @t128)) % 0.34/0.66 (define @t130 () (@list @t119)) % 0.34/0.66 (define @t131 () (forall @t130 @t128)) % 0.34/0.66 (define @t132 () (forall @t130 @t127)) % 0.34/0.66 (define @t133 () (or @t123 @t132)) % 0.34/0.66 (define @t134 () (forall @t12 (or (not @t11) @t10))) % 0.34/0.66 (define @t135 () (forall @t114 @t111)) % 0.34/0.66 (define @t136 () (@quantifiers_skolemize @t135 5)) % 0.34/0.66 (define @t137 () (@quantifiers_skolemize @t135 2)) % 0.34/0.66 (define @t138 () (@quantifiers_skolemize @t135 1)) % 0.34/0.66 (define @t139 () (tptp.k2_zfmisc_1 @t138 @t137)) % 0.34/0.66 (define @t140 () (tptp.k3_subset_1 @t139 @t136)) % 0.34/0.66 (define @t141 () (@quantifiers_skolemize @t135 4)) % 0.34/0.66 (define @t142 () (@quantifiers_skolemize @t135 0)) % 0.34/0.66 (define @t143 () (tptp.k9_relset_2 @t142 @t138 @t137 @t141 @t140)) % 0.34/0.66 (define @t144 () (@quantifiers_skolemize @t135 3)) % 0.34/0.66 (define @t145 () (tptp.k8_relset_2 @t142 @t137 @t144 (tptp.k3_subset_1 (tptp.k2_zfmisc_1 @t142 @t137) @t143))) % 0.34/0.66 (define @t146 () (tptp.k10_relset_1 @t142 @t138 @t141 @t144)) % 0.34/0.66 (define @t147 () (tptp.k8_relset_2 @t138 @t137 @t146 @t136)) % 0.34/0.66 (define @t148 () (= @t147 @t145)) % 0.34/0.66 (define @t149 () (tptp.m2_relset_1 @t136 @t138 @t137)) % 0.34/0.66 (define @t150 () (not @t149)) % 0.34/0.66 (define @t151 () (tptp.m2_relset_1 @t141 @t142 @t138)) % 0.34/0.66 (define @t152 () (not @t151)) % 0.34/0.66 (define @t153 () (tptp.m1_subset_1 @t144 (tptp.k1_zfmisc_1 @t142))) % 0.34/0.66 (define @t154 () (not @t153)) % 0.34/0.66 (define @t155 () (or @t154 @t152 @t150 @t148)) % 0.34/0.66 (define @t156 () (@list true)) % 0.34/0.66 (define @t157 () (@list @t155)) % 0.34/0.66 (define @t158 () (@list @t142 @t138 @t141 @t144)) % 0.34/0.66 (define @t159 () (tptp.m1_relset_1 @t141 @t142 @t138)) % 0.34/0.66 (define @t160 () (forall @t33 (= @t42 @t68))) % 0.34/0.66 (define @t161 () (= @t159 @t151)) % 0.34/0.66 (define @t162 () (@list @t142 @t138 @t141)) % 0.34/0.66 (define @t163 () (= @t151 @t159)) % 0.34/0.66 (define @t164 () (@list false)) % 0.34/0.66 (define @t165 () (@list @t160)) % 0.34/0.66 (define @t166 () (@list false false)) % 0.34/0.66 (define @t167 () (tptp.k9_relat_1 @t141 @t144)) % 0.34/0.66 (define @t168 () (= @t146 @t167)) % 0.34/0.66 (define @t169 () (not @t159)) % 0.34/0.66 (define @t170 () (or @t169 @t168)) % 0.34/0.66 (define @t171 () (not @t63)) % 0.34/0.66 (define @t172 () (not @t36)) % 0.34/0.66 (define @t173 () (or @t172 @t171)) % 0.34/0.66 (define @t174 () (not @t64)) % 0.34/0.66 (define @t175 () (@list @t142 @t138 @t137 @t141 @t140)) % 0.34/0.66 (define @t176 () (tptp.k1_zfmisc_1 @t139)) % 0.34/0.66 (define @t177 () (tptp.m1_subset_1 @t136 @t176)) % 0.34/0.66 (define @t178 () (or @t150 @t177)) % 0.34/0.66 (define @t179 () (tptp.m1_subset_1 @t140 @t176)) % 0.34/0.66 (define @t180 () (not @t177)) % 0.34/0.66 (define @t181 () (or @t180 @t179)) % 0.34/0.66 (define @t182 () (tptp.m1_subset_1 @t141 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t142 @t138)))) % 0.34/0.66 (define @t183 () (or @t152 @t182)) % 0.34/0.66 (define @t184 () (tptp.k5_relat_1 @t141 @t140)) % 0.34/0.66 (define @t185 () (= @t143 @t184)) % 0.34/0.66 (define @t186 () (not @t179)) % 0.34/0.66 (define @t187 () (not @t182)) % 0.34/0.66 (define @t188 () (or @t187 @t186 @t185)) % 0.34/0.66 (define @t189 () (@list false false false)) % 0.34/0.66 (define @t190 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 0.34/0.66 (define @t191 () (= (tptp.k3_subset_1 @t3 (tptp.k8_relset_2 @t6 @t3 @t2 @t190)) (tptp.k9_relat_1 (tptp.k3_subset_1 @t30 @t190) @t2))) % 0.34/0.66 (define @t192 () (not (tptp.m1_subset_1 @t190 @t31))) % 0.34/0.66 (define @t193 () (not @t38)) % 0.34/0.66 (define @t194 () (or @t192 @t191)) % 0.34/0.66 (define @t195 () (or @t193 @t194)) % 0.34/0.66 (define @t196 () (forall (@list @t6 @t3 @t2 @t190) @t195)) % 0.34/0.66 (define @t197 () (@list @t190)) % 0.34/0.66 (define @t198 () (forall @t197 @t195)) % 0.34/0.66 (define @t199 () (forall @t197 @t194)) % 0.34/0.66 (define @t200 () (@list @t8)) % 0.34/0.66 (define @t201 () (or @t193 @t199)) % 0.34/0.66 (define @t202 () (forall @t37 (or @t172 @t95))) % 0.34/0.66 (define @t203 () (@list @t138 @t137 @t146 @t136)) % 0.34/0.66 (define @t204 () (tptp.m1_subset_1 @t146 (tptp.k1_zfmisc_1 @t138))) % 0.34/0.66 (define @t205 () (or @t169 @t204)) % 0.34/0.66 (define @t206 () (tptp.k9_relat_1 @t140 @t146)) % 0.34/0.66 (define @t207 () (tptp.k3_subset_1 @t137 @t147)) % 0.34/0.66 (define @t208 () (= @t207 @t206)) % 0.34/0.66 (define @t209 () (not @t204)) % 0.34/0.66 (define @t210 () (or @t209 @t180 @t208)) % 0.34/0.66 (define @t211 () (@var "BOUND_VARIABLE_8020" $$unsorted)) % 0.34/0.66 (define @t212 () (= (tptp.k3_subset_1 @t3 (tptp.k10_relset_1 @t6 @t3 @t211 @t2)) (tptp.k8_relset_2 @t6 @t3 @t2 (tptp.k3_subset_1 @t30 @t211)))) % 0.34/0.66 (define @t213 () (not (tptp.m2_relset_1 @t211 @t6 @t3))) % 0.34/0.66 (define @t214 () (or @t193 @t213 @t212)) % 0.34/0.66 (define @t215 () (or @t213 @t212)) % 0.34/0.66 (define @t216 () (or @t193 @t215)) % 0.34/0.66 (define @t217 () (@list @t6 @t3 @t2 @t211)) % 0.34/0.66 (define @t218 () (forall @t217 @t216)) % 0.34/0.66 (define @t219 () (@list @t211)) % 0.34/0.66 (define @t220 () (forall @t219 @t216)) % 0.34/0.66 (define @t221 () (forall @t219 @t215)) % 0.34/0.66 (define @t222 () (or @t193 @t221)) % 0.34/0.66 (define @t223 () (forall @t37 (or (not @t101) @t100))) % 0.34/0.66 (define @t224 () (tptp.k10_relset_1 @t142 @t137 @t143 @t144)) % 0.34/0.66 (define @t225 () (tptp.k3_subset_1 @t137 @t224)) % 0.34/0.66 (define @t226 () (tptp.m2_relset_1 @t143 @t142 @t137)) % 0.34/0.66 (define @t227 () (not @t226)) % 0.34/0.66 (define @t228 () (or @t154 @t227 (= @t225 @t145))) % 0.34/0.66 (define @t229 () (forall @t217 @t214)) % 0.34/0.66 (define @t230 () (= @t145 @t225)) % 0.34/0.66 (define @t231 () (or @t154 @t227 @t230)) % 0.34/0.66 (define @t232 () (or @t187 @t186 @t226)) % 0.34/0.66 (define @t233 () (= @t3 @t79)) % 0.34/0.66 (define @t234 () (tptp.m1_subset_1 @t147 (tptp.k1_zfmisc_1 @t137))) % 0.34/0.66 (define @t235 () (or @t209 @t180 @t234)) % 0.34/0.66 (define @t236 () (tptp.k3_subset_1 @t137 @t207)) % 0.34/0.66 (define @t237 () (= @t147 @t236)) % 0.34/0.66 (define @t238 () (not @t234)) % 0.34/0.66 (define @t239 () (or @t238 @t237)) % 0.34/0.66 (define @t240 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 0.34/0.66 (define @t241 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t3 @t240) @t6) (tptp.k9_relat_1 @t240 @t88))) % 0.34/0.66 (define @t242 () (not (tptp.v1_relat_1 @t240))) % 0.34/0.66 (define @t243 () (not @t52)) % 0.34/0.66 (define @t244 () (or @t242 @t241)) % 0.34/0.66 (define @t245 () (or @t243 @t244)) % 0.34/0.66 (define @t246 () (forall (@list @t6 @t3 @t240) @t245)) % 0.34/0.66 (define @t247 () (@list @t240)) % 0.34/0.66 (define @t248 () (forall @t247 @t245)) % 0.34/0.66 (define @t249 () (forall @t247 @t244)) % 0.34/0.66 (define @t250 () (or @t243 @t249)) % 0.34/0.66 (define @t251 () (forall @t71 (or (not @t29) @t89))) % 0.34/0.66 (define @t252 () (tptp.v1_relat_1 @t140)) % 0.34/0.66 (define @t253 () (or @t186 @t252)) % 0.34/0.66 (define @t254 () (tptp.v1_relat_1 @t141)) % 0.34/0.66 (define @t255 () (or @t187 @t254)) % 0.34/0.66 (define @t256 () (tptp.k9_relat_1 @t184 @t144)) % 0.34/0.66 (define @t257 () (= @t256 (tptp.k9_relat_1 @t140 @t167))) % 0.34/0.66 (define @t258 () (not @t252)) % 0.34/0.66 (define @t259 () (not @t254)) % 0.34/0.66 (define @t260 () (or @t259 @t258 @t257)) % 0.34/0.66 (define @t261 () (tptp.m1_relset_1 @t143 @t142 @t137)) % 0.34/0.66 (define @t262 () (= @t261 @t226)) % 0.34/0.66 (define @t263 () (= @t226 @t261)) % 0.34/0.66 (define @t264 () (= @t224 (tptp.k9_relat_1 @t143 @t144))) % 0.34/0.66 (define @t265 () (not @t261)) % 0.34/0.66 (define @t266 () (or @t265 @t264)) % 0.34/0.66 (define @t267 () (and @t168 @t185 @t208 @t230 @t237 @t264 @t257)) % 0.34/0.66 (assume @p1 @t23) % 0.34/0.66 (assume @p2 (forall @t25 (=> @t24 (not (tptp.r2_hidden @t3 @t6))))) % 0.34/0.66 (assume @p3 (forall @t28 (=> @t27 @t26))) % 0.34/0.66 (assume @p4 @t34) % 0.34/0.66 (assume @p5 (forall @t33 (=> @t38 (forall @t37 (=> @t36 (= @t35 (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t18 @t3 (tptp.k6_relset_2 @t3 @t6 @t8) (tptp.k3_pua2mss1 @t2))))))))) % 0.34/0.66 (assume @p6 @t43) % 0.34/0.66 (assume @p7 true) % 0.34/0.66 (assume @p8 (forall @t28 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t6) @t6))) % 0.34/0.66 (assume @p9 @t47) % 0.34/0.66 (assume @p10 (forall @t21 (=> @t49 (tptp.m1_subset_1 @t48 (tptp.k1_zfmisc_1 @t39))))) % 0.34/0.66 (assume @p11 (forall @t25 (=> (and @t26 @t52) @t51))) % 0.34/0.66 (assume @p12 (forall @t25 (=> @t52 (and (tptp.v1_relat_1 @t53) (tptp.v1_funct_1 @t53))))) % 0.34/0.66 (assume @p13 (forall @t33 (=> @t55 (and (tptp.v1_funct_1 @t54) (tptp.v1_funct_2 @t54 @t39 @t18) (tptp.m2_relset_1 @t54 @t39 @t18))))) % 0.34/0.66 (assume @p14 @t59) % 0.34/0.66 (assume @p15 (forall @t25 (=> @t60 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t6 @t3) @t18)))) % 0.34/0.66 (assume @p16 @t66) % 0.34/0.66 (assume @p17 (forall @t25 (=> @t67 @t60))) % 0.34/0.66 (assume @p18 @t69) % 0.34/0.66 (assume @p19 (forall @t28 (exists @t70 @t67))) % 0.34/0.66 (assume @p20 (forall @t25 (exists @t71 @t42))) % 0.34/0.66 (assume @p21 (forall @t28 (exists @t70 (tptp.m1_subset_1 @t3 @t6)))) % 0.34/0.66 (assume @p22 (forall @t25 (exists @t71 @t68))) % 0.34/0.66 (assume @p23 (forall @t25 (=> @t73 (and (tptp.v1_xboole_0 @t72) (tptp.v1_relat_1 @t72))))) % 0.34/0.66 (assume @p24 (and @t75 @t74 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.34/0.66 (assume @p25 (forall @t28 (not (tptp.v1_xboole_0 @t18)))) % 0.34/0.66 (assume @p26 (forall @t25 (tptp.v1_relat_1 @t30))) % 0.34/0.66 (assume @p27 (and @t75 @t74)) % 0.34/0.66 (assume @p28 (forall @t25 (=> (and @t78 @t77) (not (tptp.v1_xboole_0 @t30))))) % 0.34/0.66 (assume @p29 (forall @t25 (=> @t73 (and (tptp.v1_xboole_0 @t50) @t51)))) % 0.34/0.66 (assume @p30 @t81) % 0.34/0.66 (assume @p31 (exists @t28 (and @t27 @t26))) % 0.34/0.66 (assume @p32 (forall @t28 (=> @t78 (exists @t70 (and @t46 @t77))))) % 0.34/0.66 (assume @p33 (forall @t25 (exists @t71 (and @t42 @t29 (tptp.v1_funct_1 @t2))))) % 0.34/0.66 (assume @p34 (exists @t28 (and @t78 @t26))) % 0.34/0.66 (assume @p35 (forall @t28 (exists @t70 (and @t46 @t76)))) % 0.34/0.66 (assume @p36 (exists @t28 (and @t26 (tptp.v3_relat_1 @t6)))) % 0.34/0.66 (assume @p37 @t84) % 0.34/0.66 (assume @p38 (forall @t21 (=> @t49 (= @t48 @t82)))) % 0.34/0.66 (assume @p39 (forall @t33 (=> @t55 (= @t54 (tptp.k5_relset_2 @t3 @t2))))) % 0.34/0.66 (assume @p40 (forall @t21 (=> @t58 (= @t56 @t35)))) % 0.34/0.66 (assume @p41 @t86) % 0.34/0.66 (assume @p42 @t87) % 0.34/0.66 (assume @p43 (forall @t25 (tptp.r1_tarski @t6 @t6))) % 0.34/0.66 (assume @p44 @t92) % 0.34/0.66 (assume @p45 (forall @t25 (=> @t24 @t93))) % 0.34/0.66 (assume @p46 (forall @t25 (=> @t93 (or @t76 @t24)))) % 0.34/0.66 (assume @p47 (forall @t25 (= (tptp.m1_subset_1 @t6 @t39) (tptp.r1_tarski @t6 @t3)))) % 0.34/0.66 (assume @p48 @t98) % 0.34/0.66 (assume @p49 (forall @t33 (=> (and @t24 @t99) (tptp.m1_subset_1 @t6 @t2)))) % 0.34/0.66 (assume @p50 @t104) % 0.34/0.66 (assume @p51 (forall @t33 (not (and @t24 @t99 (tptp.v1_xboole_0 @t2))))) % 0.34/0.66 (assume @p52 (forall @t28 (=> @t27 (= @t6 tptp.k1_xboole_0)))) % 0.34/0.66 (assume @p53 (forall @t25 (not (and @t24 @t76)))) % 0.34/0.66 (assume @p54 (forall @t25 (not (and @t27 (not (= @t6 @t3)) @t76)))) % 0.34/0.66 (step @p55 :rule aci_norm :args ((= @t113 @t111))) % 0.34/0.66 (step @p56 :rule cong :premises (@p55) :args (@t115)) % 0.34/0.66 (step @p57 :rule quant-merge-prenex :args ((= (forall @t21 @t117) @t115))) % 0.34/0.66 (step @p58 :rule alpha_equiv :args (@t118 (@list @t106 @t105) (@list @t5 @t119))) % 0.34/0.66 (step @p59 :rule refl :args (@t110)) % 0.34/0.66 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t120)) % 0.34/0.66 (step @p61 :rule quant-miniscope-or :args ((= @t117 @t120))) % 0.34/0.66 (step @p62 :rule trans :premises (@p61 @p60)) % 0.34/0.66 (step @p63 :rule symm :premises (@p62)) % 0.34/0.66 (step @p64 :rule cong :premises (@p63) :args ((forall @t21 (or @t110 @t126)))) % 0.34/0.66 (step @p65 :rule trans :premises (@p64 @p57)) % 0.34/0.66 (step @p66 :rule trans :premises (@p65 @p56)) % 0.34/0.66 (step @p67 :rule bool-impl-elim :args (@t19 @t126)) % 0.34/0.66 (step @p68 :rule cong :premises (@p67) :args ((forall @t21 (=> @t19 @t126)))) % 0.34/0.66 (step @p69 :rule trans :premises (@p68 @p66)) % 0.34/0.66 (step @p70 :rule aci_norm :args ((= @t128 @t124))) % 0.34/0.66 (step @p71 :rule cong :premises (@p70) :args (@t129)) % 0.34/0.66 (step @p72 :rule quant-merge-prenex :args ((= (forall @t16 @t131) @t129))) % 0.34/0.66 (step @p73 :rule alpha_equiv :args (@t132 (@list @t119) (@list @t1))) % 0.34/0.66 (step @p74 :rule refl :args (@t123)) % 0.34/0.66 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t133)) % 0.34/0.66 (step @p76 :rule quant-miniscope-or :args ((= @t131 @t133))) % 0.34/0.66 (step @p77 :rule trans :premises (@p76 @p75)) % 0.34/0.66 (step @p78 :rule symm :premises (@p77)) % 0.34/0.66 (step @p79 :rule cong :premises (@p78) :args ((forall @t16 (or @t123 @t134)))) % 0.34/0.66 (step @p80 :rule trans :premises (@p79 @p72)) % 0.34/0.66 (step @p81 :rule trans :premises (@p80 @p71)) % 0.34/0.66 (step @p82 :rule bool-impl-elim :args (@t14 @t134)) % 0.34/0.66 (step @p83 :rule cong :premises (@p82) :args ((forall @t16 (=> @t14 @t134)))) % 0.34/0.66 (step @p84 :rule trans :premises (@p83 @p81)) % 0.34/0.66 (step @p85 :rule bool-impl-elim :args (@t11 @t10)) % 0.34/0.66 (step @p86 :rule cong :premises (@p85) :args (@t13)) % 0.34/0.66 (step @p87 :rule refl :args (@t14)) % 0.34/0.66 (step @p88 :rule cong :premises (@p87 @p86) :args (@t15)) % 0.34/0.66 (step @p89 :rule cong :premises (@p88) :args (@t17)) % 0.34/0.66 (step @p90 :rule trans :premises (@p89 @p84)) % 0.34/0.66 (step @p91 :rule refl :args (@t19)) % 0.34/0.66 (step @p92 :rule cong :premises (@p91 @p90) :args (@t20)) % 0.34/0.66 (step @p93 :rule cong :premises (@p92) :args (@t22)) % 0.34/0.66 (step @p94 :rule trans :premises (@p93 @p69)) % 0.34/0.66 (step @p95 :rule cong :premises (@p94) :args (@t23)) % 0.34/0.66 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 0.34/0.66 (step @p97 :rule skolemize :premises (@p96)) % 0.34/0.66 (step @p98 :rule cnf_or_neg :args (@t155 3)) % 0.34/0.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p97) :args ((not @t148) @t156 @t157)) % 0.34/0.66 (step @p100 :rule bool-impl-elim :args (@t42 @t83)) % 0.34/0.66 (step @p101 :rule cong :premises (@p100) :args (@t84)) % 0.34/0.66 (step @p102 :rule eq_resolve :premises (@p37 @p101)) % 0.34/0.66 (step @p103 :rule instantiate :premises (@p102) :args (@t158)) % 0.34/0.66 (step @p104 :rule eq-symm :args (@t68 @t42)) % 0.34/0.66 (step @p105 :rule cong :premises (@p104) :args (@t87)) % 0.34/0.66 (step @p106 :rule eq_resolve :premises (@p42 @p105)) % 0.34/0.66 (step @p107 :rule eq-symm :args (@t159 @t151)) % 0.34/0.66 (step @p108 :rule refl :args (@t160)) % 0.34/0.66 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t160 @t161))) % 0.34/0.66 (assume-push @p364 @t160) % 0.34/0.66 (step @p111 :rule instantiate :premises (@p106) :args (@t162)) % 0.34/0.66 (step-pop @p365 :rule scope :premises (@p111)) % 0.34/0.66 (step @p112 :rule process_scope :premises (@p365) :args (@t161)) % 0.34/0.66 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.34/0.66 (step @p115 :rule implies_elim :premises (@p114)) % 0.34/0.66 (step @p116 :rule chain_m_resolution :premises (@p115 @p106) :args (@t163 @t164 @t165)) % 0.34/0.66 (step @p117 :rule bool-double-not-elim :args (@t151)) % 0.34/0.66 (step @p118 :rule refl :args (@t155)) % 0.34/0.66 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t155 (not @t152)))) % 0.34/0.66 (step @p120 :rule cnf_or_neg :args (@t155 1)) % 0.34/0.66 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.34/0.66 (step @p122 :rule reordering :premises (@p121) :args ((or @t151 @t155))) % 0.34/0.66 (step @p123 :rule chain_m_resolution :premises (@p122 @p97) :args (@t151 @t156 @t157)) % 0.34/0.66 (step @p124 :rule cnf_equiv_pos1 :args (@t163)) % 0.34/0.66 (step @p125 :rule reordering :premises (@p124) :args ((or @t152 @t159 (not @t163)))) % 0.34/0.66 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p116) :args (@t159 @t166 (@list @t151 @t163))) % 0.34/0.66 (step @p127 :rule cnf_or_pos :args (@t170)) % 0.34/0.66 (step @p128 :rule reordering :premises (@p127) :args ((or @t169 @t168 (not @t170)))) % 0.34/0.66 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p103) :args (@t168 @t166 (@list @t159 @t170))) % 0.34/0.66 (step @p130 :rule aci_norm :args ((= (or @t173 @t85) (or @t172 @t171 @t85)))) % 0.34/0.66 (step @p131 :rule refl :args (@t85)) % 0.34/0.66 (step @p132 :rule bool-and-de-morgan :args (@t36 @t63 true)) % 0.34/0.66 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t174 @t85))) % 0.34/0.66 (step @p134 :rule trans :premises (@p133 @p130)) % 0.34/0.66 (step @p135 :rule bool-impl-elim :args (@t64 @t85)) % 0.34/0.66 (step @p136 :rule trans :premises (@p135 @p134)) % 0.34/0.66 (step @p137 :rule cong :premises (@p136) :args (@t86)) % 0.34/0.66 (step @p138 :rule eq_resolve :premises (@p41 @p137)) % 0.34/0.66 (step @p139 :rule instantiate :premises (@p138) :args (@t175)) % 0.34/0.66 (step @p140 :rule bool-impl-elim :args (@t46 @t45)) % 0.34/0.66 (step @p141 :rule cong :premises (@p140) :args (@t47)) % 0.34/0.66 (step @p142 :rule eq_resolve :premises (@p9 @p141)) % 0.34/0.66 (step @p143 :rule instantiate :premises (@p142) :args ((@list @t139 @t136))) % 0.34/0.66 (step @p144 :rule bool-impl-elim :args (@t68 @t32)) % 0.34/0.66 (step @p145 :rule cong :premises (@p144) :args (@t69)) % 0.34/0.66 (step @p146 :rule eq_resolve :premises (@p18 @p145)) % 0.34/0.66 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t138 @t137 @t136))) % 0.34/0.66 (step @p148 :rule bool-double-not-elim :args (@t149)) % 0.34/0.66 (step @p149 :rule nary_cong :premises (@p118 @p148) :args ((or @t155 (not @t150)))) % 0.34/0.66 (step @p150 :rule cnf_or_neg :args (@t155 2)) % 0.34/0.66 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.34/0.66 (step @p152 :rule reordering :premises (@p151) :args ((or @t149 @t155))) % 0.34/0.66 (step @p153 :rule chain_m_resolution :premises (@p152 @p97) :args (@t149 @t156 @t157)) % 0.34/0.66 (step @p154 :rule cnf_or_pos :args (@t178)) % 0.34/0.66 (step @p155 :rule reordering :premises (@p154) :args ((or @t150 @t177 (not @t178)))) % 0.34/0.66 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p147) :args (@t177 @t166 (@list @t149 @t178))) % 0.34/0.66 (step @p157 :rule cnf_or_pos :args (@t181)) % 0.34/0.66 (step @p158 :rule reordering :premises (@p157) :args ((or @t180 @t179 (not @t181)))) % 0.34/0.66 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p143) :args (@t179 @t166 (@list @t177 @t181))) % 0.34/0.66 (step @p160 :rule instantiate :premises (@p146) :args (@t162)) % 0.34/0.66 (step @p161 :rule cnf_or_pos :args (@t183)) % 0.34/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t152 @t182 (not @t183)))) % 0.34/0.66 (step @p163 :rule chain_m_resolution :premises (@p162 @p123 @p160) :args (@t182 @t166 (@list @t151 @t183))) % 0.34/0.66 (step @p164 :rule cnf_or_pos :args (@t188)) % 0.34/0.66 (step @p165 :rule reordering :premises (@p164) :args ((or @t187 @t186 @t185 (not @t188)))) % 0.34/0.66 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p159 @p139) :args (@t185 @t189 (@list @t182 @t179 @t188))) % 0.34/0.66 (step @p167 :rule aci_norm :args ((= @t195 (or @t193 @t192 @t191)))) % 0.34/0.66 (step @p168 :rule cong :premises (@p167) :args (@t196)) % 0.34/0.66 (step @p169 :rule quant-merge-prenex :args ((= (forall @t33 @t198) @t196))) % 0.34/0.66 (step @p170 :rule alpha_equiv :args (@t199 (@list @t190) @t200)) % 0.34/0.66 (step @p171 :rule refl :args (@t193)) % 0.34/0.66 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t201)) % 0.34/0.66 (step @p173 :rule quant-miniscope-or :args ((= @t198 @t201))) % 0.34/0.66 (step @p174 :rule trans :premises (@p173 @p172)) % 0.34/0.66 (step @p175 :rule symm :premises (@p174)) % 0.34/0.66 (step @p176 :rule cong :premises (@p175) :args ((forall @t33 (or @t193 @t202)))) % 0.34/0.66 (step @p177 :rule trans :premises (@p176 @p169)) % 0.34/0.66 (step @p178 :rule trans :premises (@p177 @p168)) % 0.34/0.66 (step @p179 :rule bool-impl-elim :args (@t38 @t202)) % 0.34/0.66 (step @p180 :rule cong :premises (@p179) :args ((forall @t33 (=> @t38 @t202)))) % 0.34/0.66 (step @p181 :rule trans :premises (@p180 @p178)) % 0.34/0.66 (step @p182 :rule bool-impl-elim :args (@t36 @t95)) % 0.34/0.66 (step @p183 :rule cong :premises (@p182) :args (@t96)) % 0.34/0.66 (step @p184 :rule refl :args (@t38)) % 0.34/0.66 (step @p185 :rule cong :premises (@p184 @p183) :args (@t97)) % 0.34/0.66 (step @p186 :rule cong :premises (@p185) :args (@t98)) % 0.34/0.66 (step @p187 :rule trans :premises (@p186 @p181)) % 0.34/0.66 (step @p188 :rule eq_resolve :premises (@p48 @p187)) % 0.34/0.66 (step @p189 :rule instantiate :premises (@p188) :args (@t203)) % 0.34/0.66 (step @p190 :rule bool-impl-elim :args (@t42 @t41)) % 0.34/0.66 (step @p191 :rule cong :premises (@p190) :args (@t43)) % 0.34/0.66 (step @p192 :rule eq_resolve :premises (@p6 @p191)) % 0.34/0.66 (step @p193 :rule instantiate :premises (@p192) :args (@t158)) % 0.34/0.66 (step @p194 :rule cnf_or_pos :args (@t205)) % 0.34/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t169 @t204 (not @t205)))) % 0.34/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p126 @p193) :args (@t204 @t166 (@list @t159 @t205))) % 0.34/0.66 (step @p197 :rule cnf_or_pos :args (@t210)) % 0.34/0.66 (step @p198 :rule reordering :premises (@p197) :args ((or @t180 @t209 @t208 (not @t210)))) % 0.34/0.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p156 @p196 @p189) :args (@t208 @t189 (@list @t177 @t204 @t210))) % 0.34/0.66 (step @p200 :rule aci_norm :args ((= @t216 @t214))) % 0.34/0.66 (step @p201 :rule cong :premises (@p200) :args (@t218)) % 0.34/0.66 (step @p202 :rule quant-merge-prenex :args ((= (forall @t33 @t220) @t218))) % 0.34/0.66 (step @p203 :rule alpha_equiv :args (@t221 (@list @t211) @t200)) % 0.34/0.66 (step @p204 :rule nary_cong :premises (@p171 @p203) :args (@t222)) % 0.34/0.66 (step @p205 :rule quant-miniscope-or :args ((= @t220 @t222))) % 0.34/0.66 (step @p206 :rule trans :premises (@p205 @p204)) % 0.34/0.66 (step @p207 :rule symm :premises (@p206)) % 0.34/0.66 (step @p208 :rule cong :premises (@p207) :args ((forall @t33 (or @t193 @t223)))) % 0.34/0.66 (step @p209 :rule trans :premises (@p208 @p202)) % 0.34/0.66 (step @p210 :rule trans :premises (@p209 @p201)) % 0.34/0.66 (step @p211 :rule bool-impl-elim :args (@t38 @t223)) % 0.34/0.66 (step @p212 :rule cong :premises (@p211) :args ((forall @t33 (=> @t38 @t223)))) % 0.34/0.66 (step @p213 :rule trans :premises (@p212 @p210)) % 0.34/0.66 (step @p214 :rule bool-impl-elim :args (@t101 @t100)) % 0.34/0.66 (step @p215 :rule cong :premises (@p214) :args (@t102)) % 0.34/0.66 (step @p216 :rule cong :premises (@p184 @p215) :args (@t103)) % 0.34/0.66 (step @p217 :rule cong :premises (@p216) :args (@t104)) % 0.34/0.66 (step @p218 :rule trans :premises (@p217 @p213)) % 0.34/0.66 (step @p219 :rule eq_resolve :premises (@p50 @p218)) % 0.34/0.66 (step @p220 :rule eq-symm :args (@t225 @t145)) % 0.34/0.66 (step @p221 :rule refl :args (@t227)) % 0.34/0.66 (step @p222 :rule refl :args (@t154)) % 0.34/0.66 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t228)) % 0.34/0.66 (step @p224 :rule refl :args (@t229)) % 0.34/0.66 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t229 @t228))) % 0.34/0.66 (assume-push @p366 @t229) % 0.34/0.66 (step @p227 :rule instantiate :premises (@p219) :args ((@list @t142 @t137 @t144 @t143))) % 0.34/0.66 (step-pop @p367 :rule scope :premises (@p227)) % 0.34/0.66 (step @p228 :rule process_scope :premises (@p367) :args (@t228)) % 0.34/0.66 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 0.34/0.66 (step @p231 :rule implies_elim :premises (@p230)) % 0.34/0.66 (step @p232 :rule chain_m_resolution :premises (@p231 @p219) :args (@t231 @t164 (@list @t229))) % 0.34/0.66 (step @p233 :rule aci_norm :args ((= (or @t173 @t62) (or @t172 @t171 @t62)))) % 0.34/0.66 (step @p234 :rule refl :args (@t62)) % 0.34/0.66 (step @p235 :rule nary_cong :premises (@p132 @p234) :args ((or @t174 @t62))) % 0.34/0.66 (step @p236 :rule trans :premises (@p235 @p233)) % 0.34/0.66 (step @p237 :rule bool-impl-elim :args (@t64 @t62)) % 0.34/0.66 (step @p238 :rule trans :premises (@p237 @p236)) % 0.34/0.66 (step @p239 :rule cong :premises (@p238) :args (@t66)) % 0.34/0.66 (step @p240 :rule eq_resolve :premises (@p16 @p239)) % 0.34/0.66 (step @p241 :rule instantiate :premises (@p240) :args (@t175)) % 0.34/0.66 (step @p242 :rule cnf_or_pos :args (@t232)) % 0.34/0.66 (step @p243 :rule reordering :premises (@p242) :args ((or @t187 @t186 @t226 (not @t232)))) % 0.34/0.66 (step @p244 :rule chain_m_resolution :premises (@p243 @p163 @p159 @p241) :args (@t226 @t189 (@list @t182 @t179 @t232))) % 0.34/0.66 (step @p245 :rule bool-double-not-elim :args (@t153)) % 0.34/0.66 (step @p246 :rule nary_cong :premises (@p118 @p245) :args ((or @t155 (not @t154)))) % 0.34/0.66 (step @p247 :rule cnf_or_neg :args (@t155 0)) % 0.34/0.66 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.34/0.66 (step @p249 :rule reordering :premises (@p248) :args ((or @t153 @t155))) % 0.34/0.66 (step @p250 :rule chain_m_resolution :premises (@p249 @p97) :args (@t153 @t156 @t157)) % 0.34/0.66 (step @p251 :rule cnf_or_pos :args (@t231)) % 0.34/0.66 (step @p252 :rule reordering :premises (@p251) :args ((or @t154 @t227 @t230 (not @t231)))) % 0.34/0.66 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p244 @p232) :args (@t230 @t189 (@list @t153 @t226 @t231))) % 0.34/0.66 (step @p254 :rule bool-impl-elim :args (@t46 @t233)) % 0.34/0.66 (step @p255 :rule cong :premises (@p254) :args ((forall @t25 (=> @t46 @t233)))) % 0.34/0.66 (step @p256 :rule eq-symm :args (@t79 @t3)) % 0.34/0.66 (step @p257 :rule refl :args (@t46)) % 0.34/0.66 (step @p258 :rule cong :premises (@p257 @p256) :args (@t80)) % 0.34/0.66 (step @p259 :rule cong :premises (@p258) :args (@t81)) % 0.34/0.66 (step @p260 :rule trans :premises (@p259 @p255)) % 0.34/0.66 (step @p261 :rule eq_resolve :premises (@p30 @p260)) % 0.34/0.66 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t137 @t147))) % 0.34/0.66 (step @p263 :rule aci_norm :args ((= (or (or @t193 @t172) @t57) (or @t193 @t172 @t57)))) % 0.34/0.66 (step @p264 :rule refl :args (@t57)) % 0.34/0.66 (step @p265 :rule bool-and-de-morgan :args (@t38 @t36 true)) % 0.34/0.66 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or (not @t58) @t57))) % 0.34/0.66 (step @p267 :rule trans :premises (@p266 @p263)) % 0.34/0.66 (step @p268 :rule bool-impl-elim :args (@t58 @t57)) % 0.34/0.66 (step @p269 :rule trans :premises (@p268 @p267)) % 0.34/0.66 (step @p270 :rule cong :premises (@p269) :args (@t59)) % 0.34/0.66 (step @p271 :rule eq_resolve :premises (@p14 @p270)) % 0.34/0.66 (step @p272 :rule instantiate :premises (@p271) :args (@t203)) % 0.34/0.66 (step @p273 :rule cnf_or_pos :args (@t235)) % 0.34/0.66 (step @p274 :rule reordering :premises (@p273) :args ((or @t180 @t209 @t234 (not @t235)))) % 0.34/0.66 (step @p275 :rule chain_m_resolution :premises (@p274 @p156 @p196 @p272) :args (@t234 @t189 (@list @t177 @t204 @t235))) % 0.34/0.66 (step @p276 :rule cnf_or_pos :args (@t239)) % 0.34/0.66 (step @p277 :rule reordering :premises (@p276) :args ((or @t238 @t237 (not @t239)))) % 0.34/0.66 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p262) :args (@t237 @t166 (@list @t234 @t239))) % 0.34/0.66 (step @p279 :rule aci_norm :args ((= @t245 (or @t243 @t242 @t241)))) % 0.34/0.66 (step @p280 :rule cong :premises (@p279) :args (@t246)) % 0.34/0.66 (step @p281 :rule quant-merge-prenex :args ((= (forall @t25 @t248) @t246))) % 0.34/0.66 (step @p282 :rule alpha_equiv :args (@t249 (@list @t240) (@list @t2))) % 0.34/0.66 (step @p283 :rule refl :args (@t243)) % 0.34/0.66 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t250)) % 0.34/0.66 (step @p285 :rule quant-miniscope-or :args ((= @t248 @t250))) % 0.34/0.66 (step @p286 :rule trans :premises (@p285 @p284)) % 0.34/0.66 (step @p287 :rule symm :premises (@p286)) % 0.34/0.66 (step @p288 :rule cong :premises (@p287) :args ((forall @t25 (or @t243 @t251)))) % 0.34/0.66 (step @p289 :rule trans :premises (@p288 @p281)) % 0.34/0.66 (step @p290 :rule trans :premises (@p289 @p280)) % 0.34/0.66 (step @p291 :rule bool-impl-elim :args (@t52 @t251)) % 0.34/0.66 (step @p292 :rule cong :premises (@p291) :args ((forall @t25 (=> @t52 @t251)))) % 0.34/0.66 (step @p293 :rule trans :premises (@p292 @p290)) % 0.34/0.66 (step @p294 :rule bool-impl-elim :args (@t29 @t89)) % 0.34/0.66 (step @p295 :rule cong :premises (@p294) :args (@t90)) % 0.34/0.66 (step @p296 :rule refl :args (@t52)) % 0.34/0.66 (step @p297 :rule cong :premises (@p296 @p295) :args (@t91)) % 0.34/0.66 (step @p298 :rule cong :premises (@p297) :args (@t92)) % 0.34/0.66 (step @p299 :rule trans :premises (@p298 @p293)) % 0.34/0.66 (step @p300 :rule eq_resolve :premises (@p44 @p299)) % 0.34/0.66 (step @p301 :rule instantiate :premises (@p300) :args ((@list @t144 @t141 @t140))) % 0.34/0.66 (step @p302 :rule bool-impl-elim :args (@t32 @t29)) % 0.34/0.66 (step @p303 :rule cong :premises (@p302) :args (@t34)) % 0.34/0.66 (step @p304 :rule eq_resolve :premises (@p4 @p303)) % 0.34/0.66 (step @p305 :rule instantiate :premises (@p304) :args ((@list @t138 @t137 @t140))) % 0.34/0.66 (step @p306 :rule cnf_or_pos :args (@t253)) % 0.34/0.66 (step @p307 :rule reordering :premises (@p306) :args ((or @t186 @t252 (not @t253)))) % 0.34/0.66 (step @p308 :rule chain_m_resolution :premises (@p307 @p159 @p305) :args (@t252 @t166 (@list @t179 @t253))) % 0.34/0.66 (step @p309 :rule instantiate :premises (@p304) :args (@t162)) % 0.34/0.66 (step @p310 :rule cnf_or_pos :args (@t255)) % 0.34/0.66 (step @p311 :rule reordering :premises (@p310) :args ((or @t187 @t254 (not @t255)))) % 0.34/0.66 (step @p312 :rule chain_m_resolution :premises (@p311 @p163 @p309) :args (@t254 @t166 (@list @t182 @t255))) % 0.34/0.66 (step @p313 :rule cnf_or_pos :args (@t260)) % 0.34/0.66 (step @p314 :rule reordering :premises (@p313) :args ((or @t259 @t258 @t257 (not @t260)))) % 0.34/0.66 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p308 @p301) :args (@t257 @t189 (@list @t254 @t252 @t260))) % 0.34/0.66 (step @p316 :rule instantiate :premises (@p102) :args ((@list @t142 @t137 @t143 @t144))) % 0.34/0.66 (step @p317 :rule eq-symm :args (@t261 @t226)) % 0.34/0.66 (step @p318 :rule cong :premises (@p108 @p317) :args ((=> @t160 @t262))) % 0.34/0.66 (assume-push @p368 @t160) % 0.34/0.66 (step @p320 :rule instantiate :premises (@p106) :args ((@list @t142 @t137 @t143))) % 0.34/0.66 (step-pop @p369 :rule scope :premises (@p320)) % 0.34/0.66 (step @p321 :rule process_scope :premises (@p369) :args (@t262)) % 0.34/0.66 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 0.34/0.66 (step @p324 :rule implies_elim :premises (@p323)) % 0.34/0.66 (step @p325 :rule chain_m_resolution :premises (@p324 @p106) :args (@t263 @t164 @t165)) % 0.34/0.66 (step @p326 :rule cnf_equiv_pos1 :args (@t263)) % 0.34/0.66 (step @p327 :rule reordering :premises (@p326) :args ((or @t227 @t261 (not @t263)))) % 0.34/0.66 (step @p328 :rule chain_m_resolution :premises (@p327 @p244 @p325) :args (@t261 @t166 (@list @t226 @t263))) % 0.34/0.66 (step @p329 :rule cnf_or_pos :args (@t266)) % 0.34/0.66 (step @p330 :rule reordering :premises (@p329) :args ((or @t265 @t264 (not @t266)))) % 0.34/0.66 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p316) :args (@t264 @t166 (@list @t261 @t266))) % 0.34/0.66 (assume-push @p370 @t168) % 0.34/0.66 (assume-push @p371 @t185) % 0.34/0.66 (assume-push @p372 @t208) % 0.34/0.66 (assume-push @p373 @t230) % 0.34/0.66 (assume-push @p374 @t237) % 0.34/0.66 (assume-push @p375 @t264) % 0.34/0.66 (assume-push @p376 @t257) % 0.34/0.66 (step @p339 :rule symm :premises (@p253)) % 0.34/0.66 (step @p340 :rule symm :premises (@p331)) % 0.34/0.66 (step @p341 :rule refl :args (@t144)) % 0.34/0.66 (step @p342 :rule symm :premises (@p166)) % 0.34/0.66 (step @p343 :rule cong :premises (@p342 @p341) :args (@t256)) % 0.34/0.66 (step @p344 :rule symm :premises (@p315)) % 0.34/0.66 (step @p345 :rule refl :args (@t140)) % 0.34/0.66 (step @p346 :rule cong :premises (@p345 @p129) :args (@t206)) % 0.34/0.66 (step @p347 :rule trans :premises (@p199 @p346 @p344 @p343 @p340)) % 0.34/0.66 (step @p348 :rule refl :args (@t137)) % 0.34/0.66 (step @p349 :rule cong :premises (@p348 @p347) :args (@t236)) % 0.34/0.66 (step @p350 :rule trans :premises (@p278 @p349 @p339)) % 0.34/0.66 (step-pop @p377 :rule scope :premises (@p350)) % 0.34/0.66 (step-pop @p378 :rule scope :premises (@p377)) % 0.34/0.66 (step-pop @p379 :rule scope :premises (@p378)) % 0.34/0.66 (step-pop @p380 :rule scope :premises (@p379)) % 0.34/0.66 (step-pop @p381 :rule scope :premises (@p380)) % 0.34/0.66 (step-pop @p382 :rule scope :premises (@p381)) % 0.34/0.66 (step-pop @p383 :rule scope :premises (@p382)) % 0.34/0.66 (step @p351 :rule process_scope :premises (@p383) :args (@t148)) % 0.34/0.66 (step @p359 :rule implies_elim :premises (@p351)) % 0.34/0.66 (step @p360 :rule cnf_and_neg :args (@t267)) % 0.34/0.66 (step @p361 :rule resolution :premises (@p360 @p359) :args (true @t267)) % 0.34/0.66 (step @p362 :rule reordering :premises (@p361) :args ((or @t148 (not @t168) (not @t185) (not @t208) (not @t230) (not @t237) (not @t264) (not @t257)))) % 0.34/0.66 (step @p363 false :rule chain_m_resolution :premises (@p362 @p331 @p315 @p278 @p253 @p199 @p166 @p129 @p99) :args (false (@list false false false false false false false true) (@list @t264 @t257 @t237 @t230 @t208 @t185 @t168 @t148))) % 0.34/0.66 ) % 0.34/0.66 % SZS output end Proof % 0.34/0.66 % cvc5 exiting %------------------------------------------------------------------------------