%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP632+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 : n009.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 08:21:05 AM UTC 2026 % Result : Theorem 0.51s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP632+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n009.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:28:14 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.70 % SZS status Theorem % 0.51/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v4_relat_2 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.51/0.70 (declare-const tptp.k6_relat_1 (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v3_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v2_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v3_relat_2 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k7_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.k6_partfun1 (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v1_relat_2 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k6_autgroup (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.v8_relat_2 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.51/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.51/0.70 (define @t3 () (tptp.k2_group_1 @t2)) % 0.51/0.70 (define @t4 () (tptp.k6_autgroup @t2 @t3)) % 0.51/0.70 (define @t5 () (tptp.u1_struct_0 @t2)) % 0.51/0.70 (define @t6 () (tptp.k7_funct_2 @t5 @t5 @t5 @t1 @t4)) % 0.51/0.70 (define @t7 () (tptp.k7_funct_2 @t5 @t5 @t5 @t4 @t1)) % 0.51/0.70 (define @t8 () (and (= @t7 @t1) (= @t6 @t1))) % 0.51/0.70 (define @t9 () (tptp.k4_autgroup @t2)) % 0.51/0.70 (define @t10 () (tptp.m2_fraenkel @t1 @t5 @t5 @t9)) % 0.51/0.70 (define @t11 () (=> @t10 @t8)) % 0.51/0.70 (define @t12 () (@list @t1)) % 0.51/0.70 (define @t13 () (forall @t12 @t11)) % 0.51/0.70 (define @t14 () (tptp.l1_group_1 @t2)) % 0.51/0.70 (define @t15 () (tptp.v4_group_1 @t2)) % 0.51/0.70 (define @t16 () (tptp.v3_group_1 @t2)) % 0.51/0.70 (define @t17 () (tptp.v1_group_1 @t2)) % 0.51/0.70 (define @t18 () (tptp.v3_struct_0 @t2)) % 0.51/0.70 (define @t19 () (not @t18)) % 0.51/0.70 (define @t20 () (and @t19 @t17 @t16 @t15 @t14)) % 0.51/0.70 (define @t21 () (=> @t20 @t13)) % 0.51/0.70 (define @t22 () (@list @t2)) % 0.51/0.70 (define @t23 () (forall @t22 @t21)) % 0.51/0.70 (define @t24 () (not @t23)) % 0.51/0.70 (define @t25 () (tptp.u1_group_1 @t2)) % 0.51/0.70 (define @t26 () (tptp.r2_hidden @t2 @t1)) % 0.51/0.70 (define @t27 () (@list @t2 @t1)) % 0.51/0.70 (define @t28 () (tptp.v1_funct_1 @t1)) % 0.51/0.70 (define @t29 () (tptp.v1_relat_1 @t1)) % 0.51/0.70 (define @t30 () (tptp.m1_subset_1 @t1 @t2)) % 0.51/0.70 (define @t31 () (tptp.v1_fraenkel @t2)) % 0.51/0.70 (define @t32 () (tptp.v1_funct_1 @t2)) % 0.51/0.70 (define @t33 () (tptp.v1_xboole_0 @t2)) % 0.51/0.70 (define @t34 () (@var "C" $$unsorted)) % 0.51/0.70 (define @t35 () (tptp.v1_funct_2 @t34 @t2 @t1)) % 0.51/0.70 (define @t36 () (tptp.v1_funct_1 @t34)) % 0.51/0.70 (define @t37 () (and @t36 @t35)) % 0.51/0.70 (define @t38 () (tptp.v1_partfun1 @t34 @t2 @t1)) % 0.51/0.70 (define @t39 () (tptp.m1_relset_1 @t34 @t2 @t1)) % 0.51/0.70 (define @t40 () (@list @t2 @t1 @t34)) % 0.51/0.70 (define @t41 () (tptp.v2_group_1 @t2)) % 0.51/0.70 (define @t42 () (tptp.v1_relat_1 @t2)) % 0.51/0.70 (define @t43 () (tptp.v1_relat_1 @t34)) % 0.51/0.70 (define @t44 () (tptp.m1_subset_1 @t34 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t1)))) % 0.51/0.70 (define @t45 () (tptp.v2_funct_1 @t2)) % 0.51/0.70 (define @t46 () (and @t42 @t32 @t45)) % 0.51/0.70 (define @t47 () (and @t42 @t33 @t32)) % 0.51/0.70 (define @t48 () (and @t36 (tptp.v2_funct_1 @t34) @t35 (tptp.v2_funct_2 @t34 @t2 @t1))) % 0.51/0.70 (define @t49 () (and @t36 @t35 (tptp.v3_funct_2 @t34 @t2 @t1))) % 0.51/0.70 (define @t50 () (tptp.v3_funct_2 @t1 @t2 @t2)) % 0.51/0.70 (define @t51 () (tptp.v2_funct_2 @t1 @t2 @t2)) % 0.51/0.70 (define @t52 () (tptp.v1_funct_2 @t1 @t2 @t2)) % 0.51/0.70 (define @t53 () (tptp.v2_funct_1 @t1)) % 0.51/0.70 (define @t54 () (tptp.v1_relat_2 @t1)) % 0.51/0.70 (define @t55 () (tptp.v1_partfun1 @t1 @t2 @t2)) % 0.51/0.70 (define @t56 () (tptp.m1_relset_1 @t1 @t2 @t2)) % 0.51/0.70 (define @t57 () (@list @t34)) % 0.51/0.70 (define @t58 () (tptp.v1_xboole_0 @t1)) % 0.51/0.70 (define @t59 () (not @t58)) % 0.51/0.70 (define @t60 () (tptp.v1_xboole_0 @t34)) % 0.51/0.70 (define @t61 () (not @t60)) % 0.51/0.70 (define @t62 () (not @t33)) % 0.51/0.70 (define @t63 () (tptp.g1_group_1 @t2 @t1)) % 0.51/0.70 (define @t64 () (tptp.v1_group_1 @t63)) % 0.51/0.70 (define @t65 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.51/0.70 (define @t66 () (tptp.m1_relset_1 @t1 @t65 @t2)) % 0.51/0.70 (define @t67 () (tptp.v1_funct_2 @t1 @t65 @t2)) % 0.51/0.70 (define @t68 () (and @t28 @t67 @t66)) % 0.51/0.70 (define @t69 () (tptp.m1_subset_1 @t3 @t5)) % 0.51/0.70 (define @t70 () (and @t19 @t14)) % 0.51/0.70 (define @t71 () (forall @t22 (=> @t70 @t69))) % 0.51/0.70 (define @t72 () (tptp.m1_fraenkel @t9 @t5 @t5)) % 0.51/0.70 (define @t73 () (forall @t22 (=> @t20 @t72))) % 0.51/0.70 (define @t74 () (tptp.k5_relat_1 @t2 @t1)) % 0.51/0.70 (define @t75 () (tptp.v1_relat_1 @t74)) % 0.51/0.70 (define @t76 () (tptp.m2_fraenkel (tptp.k6_autgroup @t2 @t1) @t5 @t5 @t9)) % 0.51/0.70 (define @t77 () (tptp.m1_subset_1 @t1 @t5)) % 0.51/0.70 (define @t78 () (and @t19 @t17 @t16 @t15 @t14 @t77)) % 0.51/0.70 (define @t79 () (forall @t27 (=> @t78 @t76))) % 0.51/0.70 (define @t80 () (tptp.k6_partfun1 @t2)) % 0.51/0.70 (define @t81 () (tptp.k6_relat_1 @t2)) % 0.51/0.70 (define @t82 () (tptp.v1_relat_1 @t81)) % 0.51/0.70 (define @t83 () (@var "E" $$unsorted)) % 0.51/0.70 (define @t84 () (@var "D" $$unsorted)) % 0.51/0.70 (define @t85 () (tptp.k7_funct_2 @t2 @t1 @t34 @t84 @t83)) % 0.51/0.70 (define @t86 () (tptp.m1_relset_1 @t83 @t1 @t34)) % 0.51/0.70 (define @t87 () (tptp.v1_funct_2 @t83 @t1 @t34)) % 0.51/0.70 (define @t88 () (tptp.v1_funct_1 @t83)) % 0.51/0.70 (define @t89 () (tptp.m1_relset_1 @t84 @t2 @t1)) % 0.51/0.70 (define @t90 () (tptp.v1_funct_2 @t84 @t2 @t1)) % 0.51/0.70 (define @t91 () (tptp.v1_funct_1 @t84)) % 0.51/0.70 (define @t92 () (and @t59 @t91 @t90 @t89 @t88 @t87 @t86)) % 0.51/0.70 (define @t93 () (@list @t2 @t1 @t34 @t84 @t83)) % 0.51/0.70 (define @t94 () (@var "F" $$unsorted)) % 0.51/0.70 (define @t95 () (tptp.k7_relset_1 @t2 @t1 @t34 @t84 @t83 @t94)) % 0.51/0.70 (define @t96 () (tptp.m1_relset_1 @t94 @t34 @t84)) % 0.51/0.70 (define @t97 () (tptp.m1_relset_1 @t83 @t2 @t1)) % 0.51/0.70 (define @t98 () (and @t97 @t96)) % 0.51/0.70 (define @t99 () (@list @t2 @t1 @t34 @t84 @t83 @t94)) % 0.51/0.70 (define @t100 () (tptp.l1_struct_0 @t2)) % 0.51/0.70 (define @t101 () (forall @t22 (=> @t14 @t100))) % 0.51/0.70 (define @t102 () (tptp.m1_fraenkel @t34 @t2 @t1)) % 0.51/0.70 (define @t103 () (and @t91 @t90 (tptp.m2_relset_1 @t84 @t2 @t1))) % 0.51/0.70 (define @t104 () (tptp.m2_fraenkel @t84 @t2 @t1 @t34)) % 0.51/0.70 (define @t105 () (@list @t84)) % 0.51/0.70 (define @t106 () (forall @t105 (=> @t104 @t103))) % 0.51/0.70 (define @t107 () (and @t59 @t102)) % 0.51/0.70 (define @t108 () (=> @t107 @t106)) % 0.51/0.70 (define @t109 () (forall @t40 @t108)) % 0.51/0.70 (define @t110 () (tptp.m2_relset_1 @t34 @t2 @t1)) % 0.51/0.70 (define @t111 () (tptp.k2_zfmisc_1 @t5 @t5)) % 0.51/0.70 (define @t112 () (not (tptp.v1_xboole_0 @t5))) % 0.51/0.70 (define @t113 () (and @t19 @t100)) % 0.51/0.70 (define @t114 () (forall @t22 (=> @t113 @t112))) % 0.51/0.70 (define @t115 () (tptp.v1_funct_1 @t81)) % 0.51/0.70 (define @t116 () (= @t85 (tptp.k5_relat_1 @t84 @t83))) % 0.51/0.70 (define @t117 () (forall @t93 (=> @t92 @t116))) % 0.51/0.70 (define @t118 () (= @t95 (tptp.k5_relat_1 @t83 @t94))) % 0.51/0.70 (define @t119 () (forall @t99 (=> @t98 @t118))) % 0.51/0.70 (define @t120 () (forall @t40 (= @t110 @t39))) % 0.51/0.70 (define @t121 () (tptp.m1_subset_1 @t2 @t1)) % 0.51/0.70 (define @t122 () (tptp.k7_relset_1 @t2 @t1 @t1 @t1 @t34 (tptp.k6_partfun1 @t1))) % 0.51/0.70 (define @t123 () (tptp.k7_relset_1 @t2 @t2 @t2 @t1 @t80 @t34)) % 0.51/0.70 (define @t124 () (and (= @t123 @t34) (= @t122 @t34))) % 0.51/0.70 (define @t125 () (=> @t110 @t124)) % 0.51/0.70 (define @t126 () (forall @t40 @t125)) % 0.51/0.70 (define @t127 () (= @t4 (tptp.k6_partfun1 @t5))) % 0.51/0.70 (define @t128 () (forall @t22 (=> @t20 @t127))) % 0.51/0.70 (define @t129 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t34))) % 0.51/0.70 (define @t130 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 0.51/0.70 (define @t131 () (and (= @t130 (tptp.k7_funct_2 @t5 @t5 @t5 @t4 @t130)) (= @t130 (tptp.k7_funct_2 @t5 @t5 @t5 @t130 @t4)))) % 0.51/0.70 (define @t132 () (not (tptp.m2_fraenkel @t130 @t5 @t5 @t9))) % 0.51/0.70 (define @t133 () (not @t14)) % 0.51/0.70 (define @t134 () (not @t15)) % 0.51/0.70 (define @t135 () (not @t16)) % 0.51/0.70 (define @t136 () (not @t17)) % 0.51/0.70 (define @t137 () (or @t18 @t136 @t135 @t134 @t133 @t132 @t131)) % 0.51/0.70 (define @t138 () (or @t132 @t131)) % 0.51/0.70 (define @t139 () (or @t18 @t136 @t135 @t134 @t133 @t138)) % 0.51/0.70 (define @t140 () (@list @t2 @t130)) % 0.51/0.70 (define @t141 () (forall @t140 @t139)) % 0.51/0.70 (define @t142 () (@list @t130)) % 0.51/0.70 (define @t143 () (forall @t142 @t139)) % 0.51/0.70 (define @t144 () (forall @t142 @t138)) % 0.51/0.70 (define @t145 () (or @t18 @t136 @t135 @t134 @t133 @t144)) % 0.51/0.70 (define @t146 () (and (= @t1 @t7) (= @t1 @t6))) % 0.51/0.70 (define @t147 () (forall @t12 (or (not @t10) @t146))) % 0.51/0.70 (define @t148 () (or @t18 @t136 @t135 @t134 @t133 @t147)) % 0.51/0.70 (define @t149 () (or @t18 @t136 @t135 @t134 @t133)) % 0.51/0.70 (define @t150 () (not @t19)) % 0.51/0.70 (define @t151 () (or @t150 @t136 @t135 @t134 @t133)) % 0.51/0.70 (define @t152 () (not @t20)) % 0.51/0.70 (define @t153 () (forall @t140 @t137)) % 0.51/0.70 (define @t154 () (@quantifiers_skolemize @t153 0)) % 0.51/0.70 (define @t155 () (tptp.k2_group_1 @t154)) % 0.51/0.70 (define @t156 () (tptp.k6_autgroup @t154 @t155)) % 0.51/0.70 (define @t157 () (@quantifiers_skolemize @t153 1)) % 0.51/0.70 (define @t158 () (tptp.u1_struct_0 @t154)) % 0.51/0.70 (define @t159 () (tptp.k7_funct_2 @t158 @t158 @t158 @t157 @t156)) % 0.51/0.70 (define @t160 () (= @t157 @t159)) % 0.51/0.70 (define @t161 () (tptp.k7_funct_2 @t158 @t158 @t158 @t156 @t157)) % 0.51/0.70 (define @t162 () (= @t157 @t161)) % 0.51/0.70 (define @t163 () (and @t162 @t160)) % 0.51/0.70 (define @t164 () (tptp.k4_autgroup @t154)) % 0.51/0.70 (define @t165 () (tptp.m2_fraenkel @t157 @t158 @t158 @t164)) % 0.51/0.70 (define @t166 () (not @t165)) % 0.51/0.70 (define @t167 () (tptp.l1_group_1 @t154)) % 0.51/0.70 (define @t168 () (not @t167)) % 0.51/0.70 (define @t169 () (tptp.v4_group_1 @t154)) % 0.51/0.70 (define @t170 () (not @t169)) % 0.51/0.70 (define @t171 () (tptp.v3_group_1 @t154)) % 0.51/0.70 (define @t172 () (not @t171)) % 0.51/0.70 (define @t173 () (tptp.v1_group_1 @t154)) % 0.51/0.70 (define @t174 () (not @t173)) % 0.51/0.70 (define @t175 () (tptp.v3_struct_0 @t154)) % 0.51/0.70 (define @t176 () (or @t175 @t174 @t172 @t170 @t168 @t166 @t163)) % 0.51/0.70 (define @t177 () (@list true)) % 0.51/0.70 (define @t178 () (@list @t176)) % 0.51/0.70 (define @t179 () (not @t86)) % 0.51/0.70 (define @t180 () (not @t87)) % 0.51/0.70 (define @t181 () (not @t88)) % 0.51/0.70 (define @t182 () (not @t89)) % 0.51/0.70 (define @t183 () (not @t90)) % 0.51/0.70 (define @t184 () (not @t91)) % 0.51/0.70 (define @t185 () (not @t59)) % 0.51/0.70 (define @t186 () (or @t185 @t184 @t183 @t182 @t181 @t180 @t179)) % 0.51/0.70 (define @t187 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 0.51/0.70 (define @t188 () (and (tptp.v1_funct_1 @t187) (tptp.v1_funct_2 @t187 @t2 @t1) (tptp.m2_relset_1 @t187 @t2 @t1))) % 0.51/0.70 (define @t189 () (not (tptp.m2_fraenkel @t187 @t2 @t1 @t34))) % 0.51/0.70 (define @t190 () (not @t102)) % 0.51/0.70 (define @t191 () (or @t189 @t188)) % 0.51/0.70 (define @t192 () (or @t58 @t190 @t191)) % 0.51/0.70 (define @t193 () (forall (@list @t2 @t1 @t34 @t187) @t192)) % 0.51/0.70 (define @t194 () (@list @t187)) % 0.51/0.70 (define @t195 () (forall @t194 @t192)) % 0.51/0.70 (define @t196 () (forall @t194 @t191)) % 0.51/0.70 (define @t197 () (or @t58 @t190 @t196)) % 0.51/0.70 (define @t198 () (forall @t105 (or (not @t104) @t103))) % 0.51/0.70 (define @t199 () (or @t58 @t190 @t198)) % 0.51/0.70 (define @t200 () (not @t77)) % 0.51/0.70 (define @t201 () (or @t150 @t136 @t135 @t134 @t133 @t200)) % 0.51/0.70 (define @t202 () (@list @t154)) % 0.51/0.70 (define @t203 () (tptp.m1_subset_1 @t155 @t158)) % 0.51/0.70 (define @t204 () (or @t175 @t168 @t203)) % 0.51/0.70 (define @t205 () (@list true false false)) % 0.51/0.70 (define @t206 () (tptp.m2_fraenkel @t156 @t158 @t158 @t164)) % 0.51/0.70 (define @t207 () (not @t203)) % 0.51/0.70 (define @t208 () (or @t175 @t174 @t172 @t170 @t168 @t207 @t206)) % 0.51/0.70 (define @t209 () (tptp.m1_fraenkel @t164 @t158 @t158)) % 0.51/0.70 (define @t210 () (or @t175 @t174 @t172 @t170 @t168 @t209)) % 0.51/0.70 (define @t211 () (@list true false false false false false)) % 0.51/0.70 (define @t212 () (not @t100)) % 0.51/0.70 (define @t213 () (tptp.l1_struct_0 @t154)) % 0.51/0.70 (define @t214 () (or @t168 @t213)) % 0.51/0.70 (define @t215 () (@list false false)) % 0.51/0.70 (define @t216 () (tptp.v1_xboole_0 @t158)) % 0.51/0.70 (define @t217 () (not @t216)) % 0.51/0.70 (define @t218 () (not @t213)) % 0.51/0.70 (define @t219 () (or @t175 @t218 @t217)) % 0.51/0.70 (define @t220 () (tptp.m2_relset_1 @t156 @t158 @t158)) % 0.51/0.70 (define @t221 () (tptp.v1_funct_2 @t156 @t158 @t158)) % 0.51/0.70 (define @t222 () (tptp.v1_funct_1 @t156)) % 0.51/0.70 (define @t223 () (and @t222 @t221 @t220)) % 0.51/0.70 (define @t224 () (not @t206)) % 0.51/0.70 (define @t225 () (not @t209)) % 0.51/0.70 (define @t226 () (or @t216 @t225 @t224 @t223)) % 0.51/0.70 (define @t227 () (not @t223)) % 0.51/0.70 (define @t228 () (@list false)) % 0.51/0.70 (define @t229 () (@list @t223)) % 0.51/0.70 (define @t230 () (tptp.m1_relset_1 @t156 @t158 @t158)) % 0.51/0.70 (define @t231 () (= @t230 @t220)) % 0.51/0.70 (define @t232 () (@list @t158 @t158 @t157)) % 0.51/0.70 (define @t233 () (tptp.m2_relset_1 @t157 @t158 @t158)) % 0.51/0.70 (define @t234 () (tptp.v1_funct_2 @t157 @t158 @t158)) % 0.51/0.70 (define @t235 () (tptp.v1_funct_1 @t157)) % 0.51/0.70 (define @t236 () (and @t235 @t234 @t233)) % 0.51/0.70 (define @t237 () (or @t216 @t225 @t166 @t236)) % 0.51/0.70 (define @t238 () (not @t236)) % 0.51/0.70 (define @t239 () (@list @t236)) % 0.51/0.70 (define @t240 () (tptp.m1_relset_1 @t157 @t158 @t158)) % 0.51/0.70 (define @t241 () (= @t240 @t233)) % 0.51/0.70 (define @t242 () (not @t233)) % 0.51/0.70 (define @t243 () (= @t159 (tptp.k5_relat_1 @t157 @t156))) % 0.51/0.70 (define @t244 () (not @t230)) % 0.51/0.70 (define @t245 () (not @t221)) % 0.51/0.70 (define @t246 () (not @t222)) % 0.51/0.70 (define @t247 () (not @t240)) % 0.51/0.70 (define @t248 () (not @t234)) % 0.51/0.70 (define @t249 () (not @t235)) % 0.51/0.70 (define @t250 () (or @t216 @t249 @t248 @t247 @t246 @t245 @t244 @t243)) % 0.51/0.70 (define @t251 () (@list true false false false false false false false)) % 0.51/0.70 (define @t252 () (tptp.k6_partfun1 @t158)) % 0.51/0.70 (define @t253 () (= @t156 @t252)) % 0.51/0.70 (define @t254 () (or @t175 @t174 @t172 @t170 @t168 @t253)) % 0.51/0.70 (define @t255 () (tptp.k5_relat_1 @t157 @t252)) % 0.51/0.70 (define @t256 () (not @t96)) % 0.51/0.70 (define @t257 () (not @t97)) % 0.51/0.70 (define @t258 () (tptp.m1_relset_1 @t252 @t158 @t158)) % 0.51/0.70 (define @t259 () (tptp.k7_relset_1 @t158 @t158 @t158 @t158 @t157 @t252)) % 0.51/0.70 (define @t260 () (= @t259 @t255)) % 0.51/0.70 (define @t261 () (not @t258)) % 0.51/0.70 (define @t262 () (or @t247 @t261 @t260)) % 0.51/0.70 (define @t263 () (@list false false false)) % 0.51/0.70 (define @t264 () (and (= @t34 @t123) (= @t34 @t122))) % 0.51/0.70 (define @t265 () (= @t157 @t259)) % 0.51/0.70 (define @t266 () (tptp.k7_relset_1 @t158 @t158 @t158 @t158 @t252 @t157)) % 0.51/0.70 (define @t267 () (= @t157 @t266)) % 0.51/0.70 (define @t268 () (and @t267 @t265)) % 0.51/0.70 (define @t269 () (or @t242 @t268)) % 0.51/0.70 (define @t270 () (not @t268)) % 0.51/0.70 (define @t271 () (@list @t268)) % 0.51/0.70 (define @t272 () (= @t161 (tptp.k5_relat_1 @t156 @t157))) % 0.51/0.70 (define @t273 () (or @t216 @t246 @t245 @t244 @t249 @t248 @t247 @t272)) % 0.51/0.70 (define @t274 () (tptp.k5_relat_1 @t252 @t157)) % 0.51/0.70 (define @t275 () (= @t266 @t274)) % 0.51/0.70 (define @t276 () (or @t261 @t247 @t275)) % 0.51/0.70 (assume @p1 @t24) % 0.51/0.70 (assume @p2 (forall @t22 (=> @t14 (=> @t17 (= @t2 (tptp.g1_group_1 @t5 @t25)))))) % 0.51/0.70 (assume @p3 (forall @t27 (=> @t26 (not (tptp.r2_hidden @t1 @t2))))) % 0.51/0.70 (assume @p4 (forall @t22 (=> @t31 (forall @t12 (=> @t30 (and @t29 @t28)))))) % 0.51/0.70 (assume @p5 (forall @t22 (=> @t33 @t32))) % 0.51/0.70 (assume @p6 (forall @t40 (=> @t39 (=> (and @t36 @t38) @t37)))) % 0.51/0.70 (assume @p7 (forall @t22 (=> @t14 (=> (and @t19 @t16) (and @t19 @t41))))) % 0.51/0.70 (assume @p8 (forall @t22 (=> (and @t42 (tptp.v3_relat_2 @t2) (tptp.v8_relat_2 @t2)) (and @t42 (tptp.v1_relat_2 @t2))))) % 0.51/0.70 (assume @p9 (forall @t40 (=> @t44 @t43))) % 0.51/0.70 (assume @p10 (forall @t22 (=> @t47 @t46))) % 0.51/0.70 (assume @p11 (forall @t40 (=> @t39 (=> @t49 @t48)))) % 0.51/0.70 (assume @p12 (forall @t40 (=> @t39 (=> @t48 @t49)))) % 0.51/0.70 (assume @p13 (forall @t27 (=> @t56 (=> (and @t28 @t55 @t54 @t52) (and @t28 @t53 @t52 @t51 @t50))))) % 0.51/0.70 (assume @p14 (forall @t27 (=> @t59 (forall @t57 (=> @t39 (=> @t37 (and @t36 @t38 @t35))))))) % 0.51/0.70 (assume @p15 (forall @t27 (=> (and @t62 @t59) (forall @t57 (=> @t39 (=> @t37 (and @t36 @t61 @t38 @t35))))))) % 0.51/0.70 (assume @p16 (forall @t27 (=> @t68 (and @t64 (tptp.l1_group_1 @t63))))) % 0.51/0.70 (assume @p17 true) % 0.51/0.70 (assume @p18 @t71) % 0.51/0.70 (assume @p19 @t73) % 0.51/0.70 (assume @p20 (forall @t27 (=> (and @t42 @t29) @t75))) % 0.51/0.70 (assume @p21 @t79) % 0.51/0.70 (assume @p22 (forall @t22 (and (tptp.v1_partfun1 @t80 @t2 @t2) (tptp.m2_relset_1 @t80 @t2 @t2)))) % 0.51/0.70 (assume @p23 (forall @t22 @t82)) % 0.51/0.70 (assume @p24 (forall @t93 (=> @t92 (and (tptp.v1_funct_1 @t85) (tptp.v1_funct_2 @t85 @t2 @t34) (tptp.m2_relset_1 @t85 @t2 @t34))))) % 0.51/0.70 (assume @p25 (forall @t99 (=> @t98 (tptp.m2_relset_1 @t95 @t2 @t84)))) % 0.51/0.70 (assume @p26 @t101) % 0.51/0.70 (assume @p27 (forall @t40 (=> @t102 (and @t61 (tptp.v1_fraenkel @t34))))) % 0.51/0.70 (assume @p28 @t109) % 0.51/0.70 (assume @p29 (forall @t40 (=> @t110 @t44))) % 0.51/0.70 (assume @p30 (forall @t22 (=> @t14 (and (tptp.v1_funct_1 @t25) (tptp.v1_funct_2 @t25 @t111 @t5) (tptp.m2_relset_1 @t25 @t111 @t5))))) % 0.51/0.70 (assume @p31 (exists @t22 @t14)) % 0.51/0.70 (assume @p32 (exists @t22 @t100)) % 0.51/0.70 (assume @p33 (forall @t27 (exists @t57 @t102))) % 0.51/0.70 (assume @p34 (forall @t27 (exists @t57 @t39))) % 0.51/0.70 (assume @p35 (forall @t22 (exists @t12 @t30))) % 0.51/0.70 (assume @p36 (forall @t40 (=> @t107 (exists @t105 @t104)))) % 0.51/0.70 (assume @p37 (forall @t27 (exists @t57 @t110))) % 0.51/0.70 (assume @p38 (forall @t27 (=> (and @t42 @t32 @t29 @t28) (and @t75 (tptp.v1_funct_1 @t74))))) % 0.51/0.70 (assume @p39 (forall @t27 (=> (and @t62 @t28 @t67 @t66) (and (not (tptp.v3_struct_0 @t63)) @t64)))) % 0.51/0.70 (assume @p40 @t114) % 0.51/0.70 (assume @p41 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.51/0.70 (assume @p42 (forall @t22 (and @t82 @t115))) % 0.51/0.70 (assume @p43 (forall @t22 (and @t82 @t115 (tptp.v1_relat_2 @t81) (tptp.v3_relat_2 @t81) (tptp.v4_relat_2 @t81) (tptp.v8_relat_2 @t81)))) % 0.51/0.70 (assume @p44 (forall @t27 (=> @t68 (forall (@list @t34 @t84) (=> (= @t63 (tptp.g1_group_1 @t34 @t84)) (and (= @t2 @t34) (= @t1 @t84))))))) % 0.51/0.70 (assume @p45 (exists @t22 (and @t62 @t31))) % 0.51/0.70 (assume @p46 (exists @t22 (and @t42 @t32))) % 0.51/0.70 (assume @p47 (forall @t27 (exists @t57 (and @t39 @t43 @t36 @t35)))) % 0.51/0.70 (assume @p48 (exists @t22 (and @t14 @t17))) % 0.51/0.70 (assume @p49 (exists @t22 (and @t42 @t32 @t45 @t33))) % 0.51/0.70 (assume @p50 (exists @t22 @t33)) % 0.51/0.70 (assume @p51 (exists @t22 @t47)) % 0.51/0.70 (assume @p52 (forall @t22 (exists @t12 (and @t56 @t29 @t28 @t53 @t52 @t51 @t50)))) % 0.51/0.70 (assume @p53 (exists @t22 (and @t14 @t19 @t17))) % 0.51/0.70 (assume @p54 (forall @t27 (exists @t57 (and @t39 @t43 @t36)))) % 0.51/0.70 (assume @p55 (exists @t22 @t62)) % 0.51/0.70 (assume @p56 (exists @t22 @t46)) % 0.51/0.70 (assume @p57 (exists @t22 (and @t14 @t19 @t17 @t41 @t16 @t15))) % 0.51/0.70 (assume @p58 (forall @t22 (exists @t12 (and @t56 @t29 @t54 (tptp.v3_relat_2 @t1) (tptp.v4_relat_2 @t1) (tptp.v8_relat_2 @t1) @t55)))) % 0.51/0.70 (assume @p59 (exists @t22 (and @t100 @t19))) % 0.51/0.70 (assume @p60 (forall @t22 (=> @t113 (exists @t12 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5)) @t59))))) % 0.51/0.70 (assume @p61 (forall @t22 (= @t80 @t81))) % 0.51/0.70 (assume @p62 @t117) % 0.51/0.70 (assume @p63 @t119) % 0.51/0.70 (assume @p64 (forall @t40 (=> @t107 (forall @t105 (= @t104 (tptp.m1_subset_1 @t84 @t34)))))) % 0.51/0.70 (assume @p65 @t120) % 0.51/0.70 (assume @p66 (forall @t27 (tptp.r1_tarski @t2 @t2))) % 0.51/0.70 (assume @p67 (forall @t27 (=> @t26 @t121))) % 0.51/0.70 (assume @p68 @t126) % 0.51/0.70 (assume @p69 @t128) % 0.51/0.70 (assume @p70 (forall @t27 (=> @t121 (or @t58 @t26)))) % 0.51/0.70 (assume @p71 (forall @t27 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.51/0.70 (assume @p72 (forall @t40 (=> (and @t26 @t129) (tptp.m1_subset_1 @t2 @t34)))) % 0.51/0.70 (assume @p73 (forall @t40 (not (and @t26 @t129 @t60)))) % 0.51/0.70 (assume @p74 (forall @t22 (=> @t33 (= @t2 tptp.k1_xboole_0)))) % 0.51/0.70 (assume @p75 (forall @t27 (not (and @t26 @t58)))) % 0.51/0.70 (assume @p76 (forall @t27 (not (and @t33 (not (= @t2 @t1)) @t58)))) % 0.51/0.70 (step @p77 :rule aci_norm :args ((= @t139 @t137))) % 0.51/0.70 (step @p78 :rule cong :premises (@p77) :args (@t141)) % 0.51/0.70 (step @p79 :rule quant-merge-prenex :args ((= (forall @t22 @t143) @t141))) % 0.51/0.70 (step @p80 :rule alpha_equiv :args (@t144 (@list @t130) (@list @t1))) % 0.51/0.70 (step @p81 :rule refl :args (@t133)) % 0.51/0.70 (step @p82 :rule refl :args (@t134)) % 0.51/0.70 (step @p83 :rule refl :args (@t135)) % 0.51/0.70 (step @p84 :rule refl :args (@t136)) % 0.51/0.70 (step @p85 :rule refl :args (@t18)) % 0.51/0.70 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82 @p81 @p80) :args (@t145)) % 0.51/0.70 (step @p87 :rule quant-miniscope-or :args ((= @t143 @t145))) % 0.51/0.70 (step @p88 :rule trans :premises (@p87 @p86)) % 0.51/0.70 (step @p89 :rule symm :premises (@p88)) % 0.51/0.70 (step @p90 :rule cong :premises (@p89) :args ((forall @t22 @t148))) % 0.51/0.70 (step @p91 :rule trans :premises (@p90 @p79)) % 0.51/0.70 (step @p92 :rule trans :premises (@p91 @p78)) % 0.51/0.70 (step @p93 :rule aci_norm :args ((= (or @t149 @t147) @t148))) % 0.51/0.70 (step @p94 :rule refl :args (@t147)) % 0.51/0.70 (step @p95 :rule bool-double-not-elim :args (@t18)) % 0.51/0.70 (step @p96 :rule nary_cong :premises (@p95 @p84 @p83 @p82 @p81) :args (@t151)) % 0.51/0.70 (step @p97 :rule aci_norm :args ((= (or @t150 (or @t136 (or @t135 (or @t134 @t133)))) @t151))) % 0.51/0.70 (step @p98 :rule trans :premises (@p97 @p96)) % 0.51/0.70 (step @p99 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.51/0.70 (step @p100 :rule nary_cong :premises (@p83 @p99) :args ((or @t135 (not (and @t15 @t14))))) % 0.51/0.70 (step @p101 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14))) % 0.51/0.70 (step @p102 :rule trans :premises (@p101 @p100)) % 0.51/0.70 (step @p103 :rule nary_cong :premises (@p84 @p102) :args ((or @t136 (not (and @t16 @t15 @t14))))) % 0.51/0.70 (step @p104 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15 @t14))) % 0.51/0.70 (step @p105 :rule trans :premises (@p104 @p103)) % 0.51/0.70 (step @p106 :rule refl :args (@t150)) % 0.51/0.70 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t150 (not (and @t17 @t16 @t15 @t14))))) % 0.51/0.70 (step @p108 :rule bool-and-de-morgan :args (@t19 @t17 (and @t16 @t15 @t14))) % 0.51/0.70 (step @p109 :rule trans :premises (@p108 @p107)) % 0.51/0.70 (step @p110 :rule trans :premises (@p109 @p98)) % 0.51/0.70 (step @p111 :rule nary_cong :premises (@p110 @p94) :args ((or @t152 @t147))) % 0.51/0.70 (step @p112 :rule trans :premises (@p111 @p93)) % 0.51/0.70 (step @p113 :rule bool-impl-elim :args (@t20 @t147)) % 0.51/0.70 (step @p114 :rule trans :premises (@p113 @p112)) % 0.51/0.70 (step @p115 :rule cong :premises (@p114) :args ((forall @t22 (=> @t20 @t147)))) % 0.51/0.70 (step @p116 :rule trans :premises (@p115 @p92)) % 0.51/0.70 (step @p117 :rule bool-impl-elim :args (@t10 @t146)) % 0.51/0.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t12 (=> @t10 @t146)))) % 0.51/0.70 (step @p119 :rule eq-symm :args (@t6 @t1)) % 0.51/0.70 (step @p120 :rule eq-symm :args (@t7 @t1)) % 0.51/0.70 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t8)) % 0.51/0.70 (step @p122 :rule refl :args (@t10)) % 0.51/0.70 (step @p123 :rule cong :premises (@p122 @p121) :args (@t11)) % 0.51/0.70 (step @p124 :rule cong :premises (@p123) :args (@t13)) % 0.51/0.70 (step @p125 :rule trans :premises (@p124 @p118)) % 0.51/0.70 (step @p126 :rule refl :args (@t20)) % 0.51/0.70 (step @p127 :rule cong :premises (@p126 @p125) :args (@t21)) % 0.51/0.70 (step @p128 :rule cong :premises (@p127) :args (@t23)) % 0.51/0.70 (step @p129 :rule trans :premises (@p128 @p116)) % 0.51/0.70 (step @p130 :rule cong :premises (@p129) :args (@t24)) % 0.51/0.70 (step @p131 :rule eq_resolve :premises (@p1 @p130)) % 0.51/0.70 (step @p132 :rule skolemize :premises (@p131)) % 0.51/0.70 (step @p133 :rule cnf_or_neg :args (@t176 6)) % 0.51/0.70 (step @p134 :rule chain_m_resolution :premises (@p133 @p132) :args ((not @t163) @t177 @t178)) % 0.51/0.70 (step @p135 :rule aci_norm :args ((= (or (or @t58 @t184 @t183 @t182 @t181 @t180 @t179) 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% 0.51/0.70 (step @p338 :rule cnf_or_pos :args (@t237)) % 0.51/0.70 (step @p339 :rule reordering :premises (@p338) :args ((or @t166 @t216 @t225 @t236 (not @t237)))) % 0.51/0.70 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p314 @p291 @p331) :args (@t236 (@list false true false false) (@list @t165 @t216 @t209 @t237))) % 0.51/0.70 (step @p341 :rule cnf_and_pos :args (@t236 2)) % 0.51/0.70 (step @p342 :rule reordering :premises (@p341) :args ((or @t233 @t238))) % 0.51/0.70 (step @p343 :rule chain_m_resolution :premises (@p342 @p340) :args (@t233 @t228 @t239)) % 0.51/0.70 (step @p344 :rule cnf_equiv_pos2 :args (@t241)) % 0.51/0.70 (step @p345 :rule reordering :premises (@p344) :args ((or @t240 @t242 (not @t241)))) % 0.51/0.70 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p330) :args (@t240 @t215 (@list @t233 @t241))) % 0.51/0.70 (step @p347 :rule cnf_and_pos :args (@t236 1)) % 0.51/0.70 (step @p348 :rule reordering :premises (@p347) :args ((or @t234 @t238))) % 0.51/0.70 (step @p349 :rule chain_m_resolution :premises (@p348 @p340) :args (@t234 @t228 @t239)) % 0.51/0.70 (step @p350 :rule cnf_and_pos :args (@t236 0)) % 0.51/0.70 (step @p351 :rule reordering :premises (@p350) :args ((or @t235 @t238))) % 0.51/0.70 (step @p352 :rule chain_m_resolution :premises (@p351 @p340) :args (@t235 @t228 @t239)) % 0.51/0.70 (step @p353 :rule cnf_or_pos :args (@t250)) % 0.51/0.70 (step @p354 :rule reordering :premises (@p353) :args ((or @t216 @t249 @t248 @t247 @t246 @t245 @t244 @t243 (not @t250)))) % 0.51/0.70 (step @p355 :rule chain_m_resolution :premises (@p354 @p314 @p352 @p349 @p346 @p329 @p326 @p323 @p171) :args (@t243 @t251 (@list @t216 @t235 @t234 @t240 @t222 @t221 @t230 @t250))) % 0.51/0.70 (step @p356 :rule symm :premises (@p355)) % 0.51/0.70 (step @p357 :rule aci_norm :args ((= (or @t149 @t127) (or @t18 @t136 @t135 @t134 @t133 @t127)))) % 0.51/0.70 (step @p358 :rule refl :args (@t127)) % 0.51/0.70 (step @p359 :rule nary_cong :premises (@p110 @p358) :args ((or @t152 @t127))) % 0.51/0.70 (step @p360 :rule trans :premises (@p359 @p357)) % 0.51/0.70 (step @p361 :rule bool-impl-elim :args (@t20 @t127)) % 0.51/0.70 (step @p362 :rule trans :premises (@p361 @p360)) % 0.51/0.70 (step @p363 :rule cong :premises (@p362) :args (@t128)) % 0.51/0.70 (step @p364 :rule eq_resolve :premises (@p69 @p363)) % 0.51/0.70 (step @p365 :rule instantiate :premises (@p364) :args (@t202)) % 0.51/0.70 (step @p366 :rule cnf_or_pos :args (@t254)) % 0.51/0.70 (step @p367 :rule reordering :premises (@p366) :args ((or @t175 @t174 @t172 @t170 @t168 @t253 (not @t254)))) % 0.51/0.70 (step @p368 :rule chain_m_resolution :premises (@p367 @p255 @p276 @p270 @p264 @p253 @p365) :args (@t253 @t211 (@list @t175 @t173 @t171 @t169 @t167 @t254))) % 0.51/0.70 (step @p369 :rule symm :premises (@p368)) % 0.51/0.70 (step @p370 :rule refl :args (@t157)) % 0.51/0.70 (step @p371 :rule cong :premises (@p370 @p369) :args (@t255)) % 0.51/0.70 (step @p372 :rule aci_norm :args ((= (or (or @t257 @t256) @t118) (or @t257 @t256 @t118)))) % 0.51/0.70 (step @p373 :rule refl :args (@t118)) % 0.51/0.70 (step @p374 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.51/0.70 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t98) @t118))) % 0.51/0.70 (step @p376 :rule trans :premises (@p375 @p372)) % 0.51/0.70 (step @p377 :rule bool-impl-elim :args (@t98 @t118)) % 0.51/0.70 (step @p378 :rule trans :premises (@p377 @p376)) % 0.51/0.70 (step @p379 :rule cong :premises (@p378) :args (@t119)) % 0.51/0.70 (step @p380 :rule eq_resolve :premises (@p63 @p379)) % 0.51/0.70 (step @p381 :rule instantiate :premises (@p380) :args ((@list @t158 @t158 @t158 @t158 @t157 @t252))) % 0.51/0.70 (step @p382 :rule true_intro :premises (@p323)) % 0.51/0.70 (step @p383 :rule refl :args (@t158)) % 0.51/0.70 (step @p384 :rule cong :premises (@p369 @p383 @p383) :args (@t258)) % 0.51/0.70 (step @p385 :rule trans :premises (@p384 @p382)) % 0.51/0.70 (step @p386 :rule true_elim :premises (@p385)) % 0.51/0.70 (step @p387 :rule cnf_or_pos :args (@t262)) % 0.51/0.70 (step @p388 :rule reordering :premises (@p387) :args ((or @t247 @t261 @t260 (not @t262)))) % 0.51/0.70 (step @p389 :rule chain_m_resolution :premises (@p388 @p346 @p386 @p381) :args (@t260 @t263 (@list @t240 @t258 @t262))) % 0.51/0.70 (step @p390 :rule bool-impl-elim :args (@t110 @t264)) % 0.51/0.70 (step @p391 :rule cong :premises (@p390) :args ((forall @t40 (=> @t110 @t264)))) % 0.51/0.70 (step @p392 :rule eq-symm :args (@t122 @t34)) % 0.51/0.70 (step @p393 :rule eq-symm :args (@t123 @t34)) % 0.51/0.70 (step @p394 :rule nary_cong :premises (@p393 @p392) :args (@t124)) % 0.51/0.70 (step @p395 :rule refl :args (@t110)) % 0.51/0.70 (step @p396 :rule cong :premises (@p395 @p394) :args (@t125)) % 0.51/0.70 (step @p397 :rule cong :premises (@p396) :args (@t126)) % 0.51/0.70 (step @p398 :rule trans :premises (@p397 @p391)) % 0.51/0.70 (step @p399 :rule eq_resolve :premises (@p68 @p398)) % 0.51/0.70 (step @p400 :rule instantiate :premises (@p399) :args (@t232)) % 0.51/0.70 (step @p401 :rule cnf_or_pos :args (@t269)) % 0.51/0.70 (step @p402 :rule reordering :premises (@p401) :args ((or @t242 @t268 (not @t269)))) % 0.51/0.70 (step @p403 :rule chain_m_resolution :premises (@p402 @p343 @p400) :args (@t268 @t215 (@list @t233 @t269))) % 0.51/0.70 (step @p404 :rule cnf_and_pos :args (@t268 1)) % 0.51/0.70 (step @p405 :rule reordering :premises (@p404) :args ((or @t265 @t270))) % 0.51/0.70 (step @p406 :rule chain_m_resolution :premises (@p405 @p403) :args (@t265 @t228 @t271)) % 0.51/0.70 (step @p407 :rule trans :premises (@p406 @p389 @p371 @p356)) % 0.51/0.70 (step @p408 :rule instantiate :premises (@p170) :args ((@list @t158 @t158 @t158 @t156 @t157))) % 0.51/0.70 (step @p409 :rule cnf_or_pos :args (@t273)) % 0.51/0.70 (step @p410 :rule reordering :premises (@p409) :args ((or @t216 @t249 @t248 @t247 @t246 @t245 @t244 @t272 (not @t273)))) % 0.51/0.70 (step @p411 :rule chain_m_resolution :premises (@p410 @p314 @p352 @p349 @p346 @p329 @p326 @p323 @p408) :args (@t272 @t251 (@list @t216 @t235 @t234 @t240 @t222 @t221 @t230 @t273))) % 0.51/0.70 (step @p412 :rule symm :premises (@p411)) % 0.51/0.70 (step @p413 :rule cong :premises (@p369 @p370) :args (@t274)) % 0.51/0.70 (step @p414 :rule instantiate :premises (@p380) :args ((@list @t158 @t158 @t158 @t158 @t252 @t157))) % 0.51/0.70 (step @p415 :rule cnf_or_pos :args (@t276)) % 0.51/0.70 (step @p416 :rule reordering :premises (@p415) :args ((or @t247 @t261 @t275 (not @t276)))) % 0.51/0.70 (step @p417 :rule chain_m_resolution :premises (@p416 @p346 @p386 @p414) :args (@t275 @t263 (@list @t240 @t258 @t276))) % 0.51/0.70 (step @p418 :rule cnf_and_pos :args (@t268 0)) % 0.51/0.70 (step @p419 :rule reordering :premises (@p418) :args ((or @t267 @t270))) % 0.51/0.70 (step @p420 :rule chain_m_resolution :premises (@p419 @p403) :args (@t267 @t228 @t271)) % 0.51/0.70 (step @p421 :rule trans :premises (@p420 @p417 @p413 @p412)) % 0.51/0.70 (step @p422 :rule cnf_and_neg :args (@t163)) % 0.51/0.70 (step @p423 false :rule chain_m_resolution :premises (@p422 @p421 @p407 @p134) :args (false (@list false false true) (@list @t162 @t160 @t163))) % 0.51/0.70 ) % 0.51/0.70 % SZS output end Proof % 0.51/0.70 % cvc5 exiting %------------------------------------------------------------------------------