%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP623+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 : n001.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 08:21:03 AM UTC 2026 % Result : Theorem 0.34s 0.74s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP623+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 % 0.16/0.34 % Computer : n001.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 01:24:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.74 % SZS status Theorem % 0.34/0.74 % SZS output start Proof % 0.34/0.74 ( % 0.34/0.74 (declare-sort $$unsorted 0) % 0.34/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.34/0.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.74 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.34/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.34/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.34/0.74 (define @t2 () (tptp.k1_autgroup @t1)) % 0.34/0.74 (define @t3 () (tptp.k4_autgroup @t1)) % 0.34/0.74 (define @t4 () (tptp.r1_tarski @t3 @t2)) % 0.34/0.74 (define @t5 () (tptp.l1_group_1 @t1)) % 0.34/0.74 (define @t6 () (tptp.v4_group_1 @t1)) % 0.34/0.74 (define @t7 () (tptp.v3_group_1 @t1)) % 0.34/0.74 (define @t8 () (tptp.v1_group_1 @t1)) % 0.34/0.74 (define @t9 () (tptp.v3_struct_0 @t1)) % 0.34/0.74 (define @t10 () (not @t9)) % 0.34/0.74 (define @t11 () (and @t10 @t8 @t7 @t6 @t5)) % 0.34/0.74 (define @t12 () (@list @t1)) % 0.34/0.74 (define @t13 () (forall @t12 (=> @t11 @t4))) % 0.34/0.74 (define @t14 () (not @t13)) % 0.34/0.74 (define @t15 () (tptp.u1_group_1 @t1)) % 0.34/0.74 (define @t16 () (tptp.u1_struct_0 @t1)) % 0.34/0.74 (define @t17 () (@var "B" $$unsorted)) % 0.34/0.74 (define @t18 () (tptp.r2_hidden @t1 @t17)) % 0.34/0.74 (define @t19 () (@list @t1 @t17)) % 0.34/0.74 (define @t20 () (tptp.v1_funct_1 @t17)) % 0.34/0.74 (define @t21 () (tptp.m1_subset_1 @t17 @t1)) % 0.34/0.74 (define @t22 () (@list @t17)) % 0.34/0.74 (define @t23 () (tptp.v1_fraenkel @t1)) % 0.34/0.74 (define @t24 () (tptp.v1_funct_1 @t1)) % 0.34/0.74 (define @t25 () (tptp.v1_xboole_0 @t1)) % 0.34/0.74 (define @t26 () (@var "C" $$unsorted)) % 0.34/0.74 (define @t27 () (tptp.v1_funct_2 @t26 @t1 @t17)) % 0.34/0.74 (define @t28 () (tptp.v1_funct_1 @t26)) % 0.34/0.74 (define @t29 () (and @t28 @t27)) % 0.34/0.74 (define @t30 () (tptp.v1_partfun1 @t26 @t1 @t17)) % 0.34/0.74 (define @t31 () (tptp.m1_relset_1 @t26 @t1 @t17)) % 0.34/0.74 (define @t32 () (@list @t1 @t17 @t26)) % 0.34/0.74 (define @t33 () (tptp.v2_group_1 @t1)) % 0.34/0.74 (define @t34 () (tptp.v1_relat_1 @t26)) % 0.34/0.74 (define @t35 () (tptp.m1_subset_1 @t26 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t17)))) % 0.34/0.74 (define @t36 () (tptp.v2_funct_1 @t1)) % 0.34/0.74 (define @t37 () (tptp.v1_relat_1 @t1)) % 0.34/0.74 (define @t38 () (and @t37 @t24 @t36)) % 0.34/0.74 (define @t39 () (and @t37 @t25 @t24)) % 0.34/0.74 (define @t40 () (@list @t26)) % 0.34/0.74 (define @t41 () (tptp.v1_xboole_0 @t17)) % 0.34/0.74 (define @t42 () (not @t41)) % 0.34/0.74 (define @t43 () (tptp.v1_xboole_0 @t26)) % 0.34/0.74 (define @t44 () (not @t43)) % 0.34/0.74 (define @t45 () (not @t25)) % 0.34/0.74 (define @t46 () (tptp.r2_hidden @t26 @t17)) % 0.34/0.74 (define @t47 () (tptp.r2_hidden @t26 @t1)) % 0.34/0.74 (define @t48 () (forall @t40 (=> @t47 @t46))) % 0.34/0.74 (define @t49 () (tptp.r1_tarski @t1 @t17)) % 0.34/0.74 (define @t50 () (= @t49 @t48)) % 0.34/0.74 (define @t51 () (forall @t19 @t50)) % 0.34/0.74 (define @t52 () (tptp.g1_group_1 @t1 @t17)) % 0.34/0.74 (define @t53 () (tptp.v1_group_1 @t52)) % 0.34/0.74 (define @t54 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.34/0.74 (define @t55 () (tptp.m1_relset_1 @t17 @t54 @t1)) % 0.34/0.74 (define @t56 () (tptp.v1_funct_2 @t17 @t54 @t1)) % 0.34/0.74 (define @t57 () (and @t20 @t56 @t55)) % 0.34/0.74 (define @t58 () (tptp.m1_fraenkel @t2 @t16 @t16)) % 0.34/0.74 (define @t59 () (forall @t12 (=> @t11 @t58))) % 0.34/0.74 (define @t60 () (tptp.m1_fraenkel @t3 @t16 @t16)) % 0.34/0.74 (define @t61 () (forall @t12 (=> @t11 @t60))) % 0.34/0.74 (define @t62 () (tptp.l1_struct_0 @t1)) % 0.34/0.74 (define @t63 () (forall @t12 (=> @t5 @t62))) % 0.34/0.74 (define @t64 () (and @t44 (tptp.v1_fraenkel @t26))) % 0.34/0.74 (define @t65 () (tptp.m1_fraenkel @t26 @t1 @t17)) % 0.34/0.74 (define @t66 () (forall @t32 (=> @t65 @t64))) % 0.34/0.74 (define @t67 () (@var "D" $$unsorted)) % 0.34/0.74 (define @t68 () (tptp.m2_fraenkel @t67 @t1 @t17 @t26)) % 0.34/0.74 (define @t69 () (@list @t67)) % 0.34/0.74 (define @t70 () (and @t42 @t65)) % 0.34/0.74 (define @t71 () (tptp.m2_relset_1 @t26 @t1 @t17)) % 0.34/0.74 (define @t72 () (tptp.k2_zfmisc_1 @t16 @t16)) % 0.34/0.74 (define @t73 () (not (tptp.v1_xboole_0 @t16))) % 0.34/0.74 (define @t74 () (and @t10 @t62)) % 0.34/0.74 (define @t75 () (forall @t12 (=> @t74 @t73))) % 0.34/0.74 (define @t76 () (forall @t69 (= @t68 (tptp.m1_subset_1 @t67 @t26)))) % 0.34/0.74 (define @t77 () (forall @t32 (=> @t70 @t76))) % 0.34/0.74 (define @t78 () (tptp.m2_fraenkel @t17 @t16 @t16 @t2)) % 0.34/0.74 (define @t79 () (tptp.m2_fraenkel @t17 @t16 @t16 @t3)) % 0.34/0.74 (define @t80 () (forall @t22 (=> @t79 @t78))) % 0.34/0.74 (define @t81 () (=> @t11 @t80)) % 0.34/0.74 (define @t82 () (forall @t12 @t81)) % 0.34/0.74 (define @t83 () (tptp.m1_subset_1 @t1 @t17)) % 0.34/0.74 (define @t84 () (forall @t19 (=> @t18 @t83))) % 0.34/0.74 (define @t85 () (or @t41 @t18)) % 0.34/0.74 (define @t86 () (forall @t19 (=> @t83 @t85))) % 0.34/0.74 (define @t87 () (tptp.m1_subset_1 @t17 (tptp.k1_zfmisc_1 @t26))) % 0.34/0.74 (define @t88 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 0.34/0.74 (define @t89 () (tptp.m2_fraenkel @t88 @t16 @t16 @t2)) % 0.34/0.74 (define @t90 () (not (tptp.m2_fraenkel @t88 @t16 @t16 @t3))) % 0.34/0.74 (define @t91 () (not @t5)) % 0.34/0.74 (define @t92 () (not @t6)) % 0.34/0.74 (define @t93 () (not @t7)) % 0.34/0.74 (define @t94 () (not @t8)) % 0.34/0.74 (define @t95 () (or @t9 @t94 @t93 @t92 @t91 @t90 @t89)) % 0.34/0.74 (define @t96 () (or @t90 @t89)) % 0.34/0.74 (define @t97 () (or @t9 @t94 @t93 @t92 @t91 @t96)) % 0.34/0.74 (define @t98 () (@list @t1 @t88)) % 0.34/0.74 (define @t99 () (forall @t98 @t97)) % 0.34/0.74 (define @t100 () (@list @t88)) % 0.34/0.74 (define @t101 () (forall @t100 @t97)) % 0.34/0.74 (define @t102 () (forall @t100 @t96)) % 0.34/0.74 (define @t103 () (or @t9 @t94 @t93 @t92 @t91 @t102)) % 0.34/0.74 (define @t104 () (forall @t22 (or (not @t79) @t78))) % 0.34/0.74 (define @t105 () (or @t9 @t94 @t93 @t92 @t91 @t104)) % 0.34/0.74 (define @t106 () (or @t9 @t94 @t93 @t92 @t91)) % 0.34/0.74 (define @t107 () (not @t10)) % 0.34/0.74 (define @t108 () (or @t107 @t94 @t93 @t92 @t91)) % 0.34/0.74 (define @t109 () (not @t11)) % 0.34/0.74 (define @t110 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 0.34/0.74 (define @t111 () (= (tptp.m2_fraenkel @t110 @t1 @t17 @t26) (tptp.m1_subset_1 @t110 @t26))) % 0.34/0.74 (define @t112 () (not @t65)) % 0.34/0.74 (define @t113 () (or @t41 @t112 @t111)) % 0.34/0.74 (define @t114 () (forall (@list @t1 @t17 @t26 @t110) @t113)) % 0.34/0.74 (define @t115 () (@list @t110)) % 0.34/0.74 (define @t116 () (forall @t115 @t113)) % 0.34/0.74 (define @t117 () (forall @t115 @t111)) % 0.34/0.74 (define @t118 () (or @t41 @t112 @t117)) % 0.34/0.74 (define @t119 () (or @t41 @t112 @t76)) % 0.34/0.74 (define @t120 () (or @t9 @t94 @t93 @t92 @t91 @t4)) % 0.34/0.74 (define @t121 () (@quantifiers_skolemize (forall @t12 @t120) 0)) % 0.34/0.74 (define @t122 () (tptp.k4_autgroup @t121)) % 0.34/0.74 (define @t123 () (tptp.u1_struct_0 @t121)) % 0.34/0.74 (define @t124 () (tptp.k1_autgroup @t121)) % 0.34/0.74 (define @t125 () (forall @t40 (or (not (tptp.r2_hidden @t26 @t122)) (tptp.r2_hidden @t26 @t124)))) % 0.34/0.74 (define @t126 () (@quantifiers_skolemize @t125 0)) % 0.34/0.74 (define @t127 () (tptp.m2_fraenkel @t126 @t123 @t123 @t122)) % 0.34/0.74 (define @t128 () (tptp.m1_subset_1 @t126 @t122)) % 0.34/0.74 (define @t129 () (tptp.m1_fraenkel @t122 @t123 @t123)) % 0.34/0.74 (define @t130 () (not @t129)) % 0.34/0.74 (define @t131 () (tptp.v1_xboole_0 @t123)) % 0.34/0.74 (define @t132 () (or @t131 @t130 (= @t127 @t128))) % 0.34/0.74 (define @t133 () (= @t128 @t127)) % 0.34/0.74 (define @t134 () (or @t131 @t130 @t133)) % 0.34/0.74 (define @t135 () (@list false)) % 0.34/0.74 (define @t136 () (@list @t114)) % 0.34/0.74 (define @t137 () (@list @t121)) % 0.34/0.74 (define @t138 () (tptp.l1_group_1 @t121)) % 0.34/0.74 (define @t139 () (tptp.r1_tarski @t122 @t124)) % 0.34/0.74 (define @t140 () (not @t138)) % 0.34/0.74 (define @t141 () (tptp.v4_group_1 @t121)) % 0.34/0.74 (define @t142 () (not @t141)) % 0.34/0.74 (define @t143 () (tptp.v3_group_1 @t121)) % 0.34/0.74 (define @t144 () (not @t143)) % 0.34/0.74 (define @t145 () (tptp.v1_group_1 @t121)) % 0.34/0.74 (define @t146 () (not @t145)) % 0.34/0.74 (define @t147 () (tptp.v3_struct_0 @t121)) % 0.34/0.74 (define @t148 () (or @t147 @t146 @t144 @t142 @t140 @t139)) % 0.34/0.74 (define @t149 () (@list true)) % 0.34/0.74 (define @t150 () (@list @t148)) % 0.34/0.74 (define @t151 () (or @t147 @t146 @t144 @t142 @t140 @t129)) % 0.34/0.74 (define @t152 () (@list true false false false false false)) % 0.34/0.74 (define @t153 () (not @t62)) % 0.34/0.74 (define @t154 () (tptp.l1_struct_0 @t121)) % 0.34/0.74 (define @t155 () (or @t140 @t154)) % 0.34/0.74 (define @t156 () (@list false false)) % 0.34/0.74 (define @t157 () (not @t131)) % 0.34/0.74 (define @t158 () (not @t154)) % 0.34/0.74 (define @t159 () (or @t147 @t158 @t157)) % 0.34/0.74 (define @t160 () (@list true false false)) % 0.34/0.74 (define @t161 () (= @t139 @t125)) % 0.34/0.74 (define @t162 () (not @t125)) % 0.34/0.74 (define @t163 () (@list true false)) % 0.34/0.74 (define @t164 () (tptp.r2_hidden @t126 @t122)) % 0.34/0.74 (define @t165 () (tptp.r2_hidden @t126 @t124)) % 0.34/0.74 (define @t166 () (not @t164)) % 0.34/0.74 (define @t167 () (or @t166 @t165)) % 0.34/0.74 (define @t168 () (@list @t167)) % 0.34/0.74 (define @t169 () (or @t166 @t128)) % 0.34/0.74 (define @t170 () (tptp.m2_fraenkel @t126 @t123 @t123 @t124)) % 0.34/0.74 (define @t171 () (tptp.m1_subset_1 @t126 @t124)) % 0.34/0.74 (define @t172 () (tptp.m1_fraenkel @t124 @t123 @t123)) % 0.34/0.74 (define @t173 () (not @t172)) % 0.34/0.74 (define @t174 () (or @t131 @t173 (= @t170 @t171))) % 0.34/0.74 (define @t175 () (= @t171 @t170)) % 0.34/0.74 (define @t176 () (or @t131 @t173 @t175)) % 0.34/0.74 (define @t177 () (or @t147 @t146 @t144 @t142 @t140 @t172)) % 0.34/0.74 (define @t178 () (not @t83)) % 0.34/0.74 (define @t179 () (tptp.v1_xboole_0 @t124)) % 0.34/0.74 (define @t180 () (not @t179)) % 0.34/0.74 (define @t181 () (and @t180 (tptp.v1_fraenkel @t124))) % 0.34/0.74 (define @t182 () (or @t173 @t181)) % 0.34/0.74 (define @t183 () (not @t171)) % 0.34/0.74 (define @t184 () (or @t183 @t179 @t165)) % 0.34/0.74 (define @t185 () (not @t170)) % 0.34/0.74 (define @t186 () (not @t127)) % 0.34/0.74 (define @t187 () (or @t147 @t146 @t144 @t142 @t140 @t186 @t170)) % 0.34/0.74 (define @t188 () (not @t187)) % 0.34/0.74 (define @t189 () (forall @t98 @t95)) % 0.34/0.74 (assume @p1 @t14) % 0.34/0.74 (assume @p2 (forall @t12 (=> @t5 (=> @t8 (= @t1 (tptp.g1_group_1 @t16 @t15)))))) % 0.34/0.74 (assume @p3 (forall @t19 (=> @t18 (not (tptp.r2_hidden @t17 @t1))))) % 0.34/0.74 (assume @p4 (forall @t12 (=> @t23 (forall @t22 (=> @t21 (and (tptp.v1_relat_1 @t17) @t20)))))) % 0.34/0.74 (assume @p5 (forall @t12 (=> @t25 @t24))) % 0.34/0.74 (assume @p6 (forall @t32 (=> @t31 (=> (and @t28 @t30) @t29)))) % 0.34/0.74 (assume @p7 (forall @t12 (=> @t5 (=> (and @t10 @t7) (and @t10 @t33))))) % 0.34/0.74 (assume @p8 (forall @t32 (=> @t35 @t34))) % 0.34/0.74 (assume @p9 (forall @t12 (=> @t39 @t38))) % 0.34/0.74 (assume @p10 (forall @t19 (=> @t42 (forall @t40 (=> @t31 (=> @t29 (and @t28 @t30 @t27))))))) % 0.34/0.74 (assume @p11 (forall @t19 (=> (and @t45 @t42) (forall @t40 (=> @t31 (=> @t29 (and @t28 @t44 @t30 @t27))))))) % 0.34/0.74 (assume @p12 @t51) % 0.34/0.74 (assume @p13 (forall @t19 (=> @t57 (and @t53 (tptp.l1_group_1 @t52))))) % 0.34/0.74 (assume @p14 @t59) % 0.34/0.74 (assume @p15 true) % 0.34/0.74 (assume @p16 @t61) % 0.34/0.74 (assume @p17 @t63) % 0.34/0.74 (assume @p18 @t66) % 0.34/0.74 (assume @p19 (forall @t32 (=> @t70 (forall @t69 (=> @t68 (and (tptp.v1_funct_1 @t67) (tptp.v1_funct_2 @t67 @t1 @t17) (tptp.m2_relset_1 @t67 @t1 @t17))))))) % 0.34/0.74 (assume @p20 (forall @t32 (=> @t71 @t35))) % 0.34/0.74 (assume @p21 (forall @t12 (=> @t5 (and (tptp.v1_funct_1 @t15) (tptp.v1_funct_2 @t15 @t72 @t16) (tptp.m2_relset_1 @t15 @t72 @t16))))) % 0.34/0.74 (assume @p22 (exists @t12 @t5)) % 0.34/0.74 (assume @p23 (exists @t12 @t62)) % 0.34/0.74 (assume @p24 (forall @t19 (exists @t40 @t65))) % 0.34/0.74 (assume @p25 (forall @t19 (exists @t40 @t31))) % 0.34/0.74 (assume @p26 (forall @t12 (exists @t22 @t21))) % 0.34/0.74 (assume @p27 (forall @t32 (=> @t70 (exists @t69 @t68)))) % 0.34/0.74 (assume @p28 (forall @t19 (exists @t40 @t71))) % 0.34/0.74 (assume @p29 (forall @t19 (=> (and @t45 @t20 @t56 @t55) (and (not (tptp.v3_struct_0 @t52)) @t53)))) % 0.34/0.74 (assume @p30 @t75) % 0.34/0.74 (assume @p31 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.34/0.74 (assume @p32 (forall @t19 (=> @t57 (forall (@list @t26 @t67) (=> (= @t52 (tptp.g1_group_1 @t26 @t67)) (and (= @t1 @t26) (= @t17 @t67))))))) % 0.34/0.74 (assume @p33 (exists @t12 (and @t45 @t23))) % 0.34/0.74 (assume @p34 (exists @t12 (and @t37 @t24))) % 0.34/0.74 (assume @p35 (forall @t19 (exists @t40 (and @t31 @t34 @t28 @t27)))) % 0.34/0.74 (assume @p36 (exists @t12 (and @t5 @t8))) % 0.34/0.74 (assume @p37 (exists @t12 (and @t37 @t24 @t36 @t25))) % 0.34/0.74 (assume @p38 (exists @t12 @t25)) % 0.34/0.74 (assume @p39 (exists @t12 @t39)) % 0.34/0.74 (assume @p40 (exists @t12 (and @t5 @t10 @t8))) % 0.34/0.74 (assume @p41 (forall @t19 (exists @t40 (and @t31 @t34 @t28)))) % 0.34/0.74 (assume @p42 (exists @t12 @t45)) % 0.34/0.74 (assume @p43 (exists @t12 @t38)) % 0.34/0.74 (assume @p44 (exists @t12 (and @t5 @t10 @t8 @t33 @t7 @t6))) % 0.34/0.74 (assume @p45 (exists @t12 (and @t62 @t10))) % 0.34/0.74 (assume @p46 (forall @t12 (=> @t74 (exists @t22 (and (tptp.m1_subset_1 @t17 (tptp.k1_zfmisc_1 @t16)) @t42))))) % 0.34/0.74 (assume @p47 @t77) % 0.34/0.74 (assume @p48 (forall @t32 (= @t71 @t31))) % 0.34/0.74 (assume @p49 (forall @t19 (tptp.r1_tarski @t1 @t1))) % 0.34/0.74 (assume @p50 @t82) % 0.34/0.74 (assume @p51 @t84) % 0.34/0.74 (assume @p52 @t86) % 0.34/0.74 (assume @p53 (forall @t19 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t17)) @t49))) % 0.34/0.74 (assume @p54 (forall @t32 (=> (and @t18 @t87) (tptp.m1_subset_1 @t1 @t26)))) % 0.34/0.74 (assume @p55 (forall @t32 (not (and @t18 @t87 @t43)))) % 0.34/0.74 (assume @p56 (forall @t12 (=> @t25 (= @t1 tptp.k1_xboole_0)))) % 0.34/0.74 (assume @p57 (forall @t19 (not (and @t18 @t41)))) % 0.34/0.74 (assume @p58 (forall @t19 (not (and @t25 (not (= @t1 @t17)) @t41)))) % 0.34/0.74 (step @p59 :rule aci_norm :args ((= @t97 @t95))) % 0.34/0.74 (step @p60 :rule cong :premises (@p59) :args (@t99)) % 0.34/0.74 (step @p61 :rule quant-merge-prenex :args ((= (forall @t12 @t101) @t99))) % 0.34/0.74 (step @p62 :rule alpha_equiv :args (@t102 (@list @t88) (@list @t17))) % 0.34/0.74 (step @p63 :rule refl :args (@t91)) % 0.34/0.74 (step @p64 :rule refl :args (@t92)) % 0.34/0.74 (step @p65 :rule refl :args (@t93)) % 0.34/0.74 (step @p66 :rule refl :args (@t94)) % 0.34/0.74 (step @p67 :rule refl :args (@t9)) % 0.34/0.74 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65 @p64 @p63 @p62) :args (@t103)) % 0.34/0.74 (step @p69 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.34/0.74 (step @p70 :rule trans :premises (@p69 @p68)) % 0.34/0.74 (step @p71 :rule symm :premises (@p70)) % 0.34/0.74 (step @p72 :rule cong :premises (@p71) :args ((forall @t12 @t105))) % 0.34/0.74 (step @p73 :rule trans :premises (@p72 @p61)) % 0.34/0.74 (step @p74 :rule trans :premises (@p73 @p60)) % 0.34/0.74 (step @p75 :rule aci_norm :args ((= (or @t106 @t104) @t105))) % 0.34/0.74 (step @p76 :rule refl :args (@t104)) % 0.34/0.74 (step @p77 :rule bool-double-not-elim :args (@t9)) % 0.34/0.74 (step @p78 :rule nary_cong :premises (@p77 @p66 @p65 @p64 @p63) :args (@t108)) % 0.34/0.74 (step @p79 :rule aci_norm :args ((= (or @t107 (or @t94 (or @t93 (or @t92 @t91)))) @t108))) % 0.34/0.74 (step @p80 :rule trans :premises (@p79 @p78)) % 0.34/0.74 (step @p81 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.34/0.74 (step @p82 :rule nary_cong :premises (@p65 @p81) :args ((or @t93 (not (and @t6 @t5))))) % 0.34/0.74 (step @p83 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5))) % 0.34/0.74 (step @p84 :rule trans :premises (@p83 @p82)) % 0.34/0.74 (step @p85 :rule nary_cong :premises (@p66 @p84) :args ((or @t94 (not (and @t7 @t6 @t5))))) % 0.34/0.74 (step @p86 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t5))) % 0.34/0.74 (step @p87 :rule trans :premises (@p86 @p85)) % 0.34/0.74 (step @p88 :rule refl :args (@t107)) % 0.34/0.74 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t107 (not (and @t8 @t7 @t6 @t5))))) % 0.34/0.74 (step @p90 :rule bool-and-de-morgan :args (@t10 @t8 (and @t7 @t6 @t5))) % 0.34/0.74 (step @p91 :rule trans :premises (@p90 @p89)) % 0.34/0.74 (step @p92 :rule trans :premises (@p91 @p80)) % 0.34/0.74 (step @p93 :rule nary_cong :premises (@p92 @p76) :args ((or @t109 @t104))) % 0.34/0.74 (step @p94 :rule trans :premises (@p93 @p75)) % 0.34/0.74 (step @p95 :rule bool-impl-elim :args (@t11 @t104)) % 0.34/0.74 (step @p96 :rule trans :premises (@p95 @p94)) % 0.34/0.74 (step @p97 :rule cong :premises (@p96) :args ((forall @t12 (=> @t11 @t104)))) % 0.34/0.74 (step @p98 :rule trans :premises (@p97 @p74)) % 0.34/0.74 (step @p99 :rule bool-impl-elim :args (@t79 @t78)) % 0.34/0.74 (step @p100 :rule cong :premises (@p99) :args (@t80)) % 0.34/0.74 (step @p101 :rule refl :args (@t11)) % 0.34/0.74 (step @p102 :rule cong :premises (@p101 @p100) :args (@t81)) % 0.34/0.74 (step @p103 :rule cong :premises (@p102) :args (@t82)) % 0.34/0.74 (step @p104 :rule trans :premises (@p103 @p98)) % 0.34/0.74 (step @p105 :rule eq_resolve :premises (@p50 @p104)) % 0.34/0.74 (step @p106 :rule quant-merge-prenex :args ((= (forall @t32 @t116) @t114))) % 0.34/0.74 (step @p107 :rule alpha_equiv :args (@t117 (@list @t110) (@list @t67))) % 0.34/0.74 (step @p108 :rule refl :args (@t112)) % 0.34/0.74 (step @p109 :rule refl :args (@t41)) % 0.34/0.74 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t118)) % 0.34/0.74 (step @p111 :rule quant-miniscope-or :args ((= @t116 @t118))) % 0.34/0.74 (step @p112 :rule trans :premises (@p111 @p110)) % 0.34/0.74 (step @p113 :rule symm :premises (@p112)) % 0.34/0.74 (step @p114 :rule cong :premises (@p113) :args ((forall @t32 @t119))) % 0.34/0.74 (step @p115 :rule trans :premises (@p114 @p106)) % 0.34/0.74 (step @p116 :rule aci_norm :args ((= (or (or @t41 @t112) @t76) @t119))) % 0.34/0.74 (step @p117 :rule refl :args (@t76)) % 0.34/0.74 (step @p118 :rule bool-double-not-elim :args (@t41)) % 0.34/0.74 (step @p119 :rule nary_cong :premises (@p118 @p108) :args ((or (not @t42) @t112))) % 0.34/0.74 (step @p120 :rule bool-and-de-morgan :args (@t42 @t65 true)) % 0.34/0.74 (step @p121 :rule trans :premises (@p120 @p119)) % 0.34/0.74 (step @p122 :rule nary_cong :premises (@p121 @p117) :args ((or (not @t70) @t76))) % 0.34/0.74 (step @p123 :rule trans :premises (@p122 @p116)) % 0.34/0.74 (step @p124 :rule bool-impl-elim :args (@t70 @t76)) % 0.34/0.74 (step @p125 :rule trans :premises (@p124 @p123)) % 0.34/0.74 (step @p126 :rule cong :premises (@p125) :args (@t77)) % 0.34/0.74 (step @p127 :rule trans :premises (@p126 @p115)) % 0.34/0.74 (step @p128 :rule eq_resolve :premises (@p47 @p127)) % 0.34/0.74 (step @p129 :rule eq-symm :args (@t127 @t128)) % 0.34/0.74 (step @p130 :rule refl :args (@t130)) % 0.34/0.74 (step @p131 :rule refl :args (@t131)) % 0.34/0.74 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t132)) % 0.34/0.74 (step @p133 :rule refl :args (@t114)) % 0.34/0.74 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t114 @t132))) % 0.34/0.74 (assume-push @p306 @t114) % 0.34/0.74 (step @p136 :rule instantiate :premises (@p128) :args ((@list @t123 @t123 @t122 @t126))) % 0.34/0.75 (step-pop @p307 :rule scope :premises (@p136)) % 0.34/0.75 (step @p137 :rule process_scope :premises (@p307) :args (@t132)) % 0.34/0.75 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.34/0.75 (step @p140 :rule implies_elim :premises (@p139)) % 0.34/0.75 (step @p141 :rule chain_m_resolution :premises (@p140 @p128) :args (@t134 @t135 @t136)) % 0.34/0.75 (step @p142 :rule aci_norm :args ((= (or @t106 @t60) (or @t9 @t94 @t93 @t92 @t91 @t60)))) % 0.34/0.75 (step @p143 :rule refl :args (@t60)) % 0.34/0.75 (step @p144 :rule nary_cong :premises (@p92 @p143) :args ((or @t109 @t60))) % 0.34/0.75 (step @p145 :rule trans :premises (@p144 @p142)) % 0.34/0.75 (step @p146 :rule bool-impl-elim :args (@t11 @t60)) % 0.34/0.75 (step @p147 :rule trans :premises (@p146 @p145)) % 0.34/0.75 (step @p148 :rule cong :premises (@p147) :args (@t61)) % 0.34/0.75 (step @p149 :rule eq_resolve :premises (@p16 @p148)) % 0.34/0.75 (step @p150 :rule instantiate :premises (@p149) :args (@t137)) % 0.34/0.75 (step @p151 :rule aci_norm :args ((= (or @t106 @t4) @t120))) % 0.34/0.75 (step @p152 :rule refl :args (@t4)) % 0.34/0.75 (step @p153 :rule nary_cong :premises (@p92 @p152) :args ((or @t109 @t4))) % 0.34/0.75 (step @p154 :rule trans :premises (@p153 @p151)) % 0.34/0.75 (step @p155 :rule bool-impl-elim :args (@t11 @t4)) % 0.34/0.75 (step @p156 :rule trans :premises (@p155 @p154)) % 0.34/0.75 (step @p157 :rule cong :premises (@p156) :args (@t13)) % 0.34/0.75 (step @p158 :rule cong :premises (@p157) :args (@t14)) % 0.34/0.75 (step @p159 :rule eq_resolve :premises (@p1 @p158)) % 0.34/0.75 (step @p160 :rule skolemize :premises (@p159)) % 0.34/0.75 (step @p161 :rule bool-double-not-elim :args (@t138)) % 0.34/0.75 (step @p162 :rule refl :args (@t148)) % 0.34/0.75 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t148 (not @t140)))) % 0.34/0.75 (step @p164 :rule cnf_or_neg :args (@t148 4)) % 0.34/0.75 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.34/0.75 (step @p166 :rule reordering :premises (@p165) :args ((or @t138 @t148))) % 0.34/0.75 (step @p167 :rule chain_m_resolution :premises (@p166 @p160) :args (@t138 @t149 @t150)) % 0.34/0.75 (step @p168 :rule bool-double-not-elim :args (@t141)) % 0.34/0.75 (step @p169 :rule nary_cong :premises (@p162 @p168) :args ((or @t148 (not @t142)))) % 0.34/0.75 (step @p170 :rule cnf_or_neg :args (@t148 3)) % 0.34/0.75 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.34/0.75 (step @p172 :rule reordering :premises (@p171) :args ((or @t141 @t148))) % 0.34/0.75 (step @p173 :rule chain_m_resolution :premises (@p172 @p160) :args (@t141 @t149 @t150)) % 0.34/0.75 (step @p174 :rule bool-double-not-elim :args (@t143)) % 0.34/0.75 (step @p175 :rule nary_cong :premises (@p162 @p174) :args ((or @t148 (not @t144)))) % 0.34/0.75 (step @p176 :rule cnf_or_neg :args (@t148 2)) % 0.34/0.75 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.34/0.75 (step @p178 :rule reordering :premises (@p177) :args ((or @t143 @t148))) % 0.34/0.75 (step @p179 :rule chain_m_resolution :premises (@p178 @p160) :args (@t143 @t149 @t150)) % 0.34/0.75 (step @p180 :rule bool-double-not-elim :args (@t145)) % 0.34/0.75 (step @p181 :rule nary_cong :premises (@p162 @p180) :args ((or @t148 (not @t146)))) % 0.34/0.75 (step @p182 :rule cnf_or_neg :args (@t148 1)) % 0.34/0.75 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.34/0.75 (step @p184 :rule reordering :premises (@p183) :args ((or @t145 @t148))) % 0.34/0.75 (step @p185 :rule chain_m_resolution :premises (@p184 @p160) :args (@t145 @t149 @t150)) % 0.34/0.75 (step @p186 :rule cnf_or_neg :args (@t148 0)) % 0.34/0.75 (step @p187 :rule chain_m_resolution :premises (@p186 @p160) :args ((not @t147) @t149 @t150)) % 0.34/0.75 (step @p188 :rule cnf_or_pos :args (@t151)) % 0.34/0.75 (step @p189 :rule reordering :premises (@p188) :args ((or @t147 @t146 @t144 @t142 @t140 @t129 (not @t151)))) % 0.34/0.75 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p185 @p179 @p173 @p167 @p150) :args (@t129 @t152 (@list @t147 @t145 @t143 @t141 @t138 @t151))) % 0.34/0.75 (step @p191 :rule aci_norm :args ((= (or (or @t9 @t153) @t73) (or @t9 @t153 @t73)))) % 0.34/0.75 (step @p192 :rule refl :args (@t73)) % 0.34/0.75 (step @p193 :rule refl :args (@t153)) % 0.34/0.75 (step @p194 :rule nary_cong :premises (@p77 @p193) :args ((or @t107 @t153))) % 0.34/0.75 (step @p195 :rule bool-and-de-morgan :args (@t10 @t62 true)) % 0.34/0.75 (step @p196 :rule trans :premises (@p195 @p194)) % 0.34/0.75 (step @p197 :rule nary_cong :premises (@p196 @p192) :args ((or (not @t74) @t73))) % 0.34/0.75 (step @p198 :rule trans :premises (@p197 @p191)) % 0.34/0.75 (step @p199 :rule bool-impl-elim :args (@t74 @t73)) % 0.34/0.75 (step @p200 :rule trans :premises (@p199 @p198)) % 0.34/0.75 (step @p201 :rule cong :premises (@p200) :args (@t75)) % 0.34/0.75 (step @p202 :rule eq_resolve :premises (@p30 @p201)) % 0.34/0.75 (step @p203 :rule instantiate :premises (@p202) :args (@t137)) % 0.34/0.75 (step @p204 :rule bool-impl-elim :args (@t5 @t62)) % 0.34/0.75 (step @p205 :rule cong :premises (@p204) :args (@t63)) % 0.34/0.75 (step @p206 :rule eq_resolve :premises (@p17 @p205)) % 0.34/0.75 (step @p207 :rule instantiate :premises (@p206) :args (@t137)) % 0.34/0.75 (step @p208 :rule cnf_or_pos :args (@t155)) % 0.34/0.75 (step @p209 :rule reordering :premises (@p208) :args ((or @t140 @t154 (not @t155)))) % 0.34/0.75 (step @p210 :rule chain_m_resolution :premises (@p209 @p167 @p207) :args (@t154 @t156 (@list @t138 @t155))) % 0.34/0.75 (step @p211 :rule cnf_or_pos :args (@t159)) % 0.34/0.75 (step @p212 :rule reordering :premises (@p211) :args ((or @t147 @t158 @t157 (not @t159)))) % 0.34/0.75 (step @p213 :rule chain_m_resolution :premises (@p212 @p187 @p210 @p203) :args (@t157 @t160 (@list @t147 @t154 @t159))) % 0.34/0.75 (step @p214 :rule cnf_or_pos :args (@t134)) % 0.34/0.75 (step @p215 :rule reordering :premises (@p214) :args ((or @t131 @t130 @t133 (not @t134)))) % 0.34/0.75 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p190 @p141) :args (@t133 @t160 (@list @t131 @t129 @t134))) % 0.34/0.75 (step @p217 :rule bool-impl-elim :args (@t18 @t83)) % 0.34/0.75 (step @p218 :rule cong :premises (@p217) :args (@t84)) % 0.34/0.75 (step @p219 :rule eq_resolve :premises (@p51 @p218)) % 0.34/0.75 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t126 @t122))) % 0.34/0.75 (step @p221 :rule bool-impl-elim :args (@t47 @t46)) % 0.34/0.75 (step @p222 :rule cong :premises (@p221) :args (@t48)) % 0.34/0.75 (step @p223 :rule refl :args (@t49)) % 0.34/0.75 (step @p224 :rule cong :premises (@p223 @p222) :args (@t50)) % 0.34/0.75 (step @p225 :rule cong :premises (@p224) :args (@t51)) % 0.34/0.75 (step @p226 :rule eq_resolve :premises (@p12 @p225)) % 0.34/0.75 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t122 @t124))) % 0.34/0.75 (step @p228 :rule cnf_or_neg :args (@t148 5)) % 0.34/0.75 (step @p229 :rule chain_m_resolution :premises (@p228 @p160) :args ((not @t139) @t149 @t150)) % 0.34/0.75 (step @p230 :rule cnf_equiv_pos2 :args (@t161)) % 0.34/0.75 (step @p231 :rule reordering :premises (@p230) :args ((or @t139 @t162 (not @t161)))) % 0.34/0.75 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p227) :args (@t162 @t163 (@list @t139 @t161))) % 0.34/0.75 (step @p233 :rule skolemize :premises (@p232)) % 0.34/0.75 (step @p234 :rule bool-double-not-elim :args (@t164)) % 0.34/0.75 (step @p235 :rule refl :args (@t167)) % 0.34/0.75 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t167 (not @t166)))) % 0.34/0.75 (step @p237 :rule cnf_or_neg :args (@t167 0)) % 0.34/0.75 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.34/0.75 (step @p239 :rule reordering :premises (@p238) :args ((or @t164 @t167))) % 0.34/0.75 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t164 @t149 @t168)) % 0.34/0.75 (step @p241 :rule cnf_or_pos :args (@t169)) % 0.34/0.75 (step @p242 :rule reordering :premises (@p241) :args ((or @t166 @t128 (not @t169)))) % 0.34/0.75 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p220) :args (@t128 @t156 (@list @t164 @t169))) % 0.34/0.75 (step @p244 :rule cnf_equiv_pos1 :args (@t133)) % 0.34/0.75 (step @p245 :rule reordering :premises (@p244) :args ((or (not @t128) @t127 (not @t133)))) % 0.34/0.75 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p216) :args (@t127 @t156 (@list @t128 @t133))) % 0.34/0.75 (step @p247 :rule eq-symm :args (@t170 @t171)) % 0.34/0.75 (step @p248 :rule refl :args (@t173)) % 0.34/0.75 (step @p249 :rule nary_cong :premises (@p131 @p248 @p247) :args (@t174)) % 0.34/0.75 (step @p250 :rule cong :premises (@p133 @p249) :args ((=> @t114 @t174))) % 0.34/0.75 (assume-push @p308 @t114) % 0.34/0.75 (step @p252 :rule instantiate :premises (@p128) :args ((@list @t123 @t123 @t124 @t126))) % 0.34/0.75 (step-pop @p309 :rule scope :premises (@p252)) % 0.34/0.75 (step @p253 :rule process_scope :premises (@p309) :args (@t174)) % 0.34/0.75 (step @p255 :rule eq_resolve :premises (@p253 @p250)) % 0.34/0.75 (step @p256 :rule implies_elim :premises (@p255)) % 0.34/0.75 (step @p257 :rule chain_m_resolution :premises (@p256 @p128) :args (@t176 @t135 @t136)) % 0.34/0.75 (step @p258 :rule aci_norm :args ((= (or @t106 @t58) (or @t9 @t94 @t93 @t92 @t91 @t58)))) % 0.34/0.75 (step @p259 :rule refl :args (@t58)) % 0.34/0.75 (step @p260 :rule nary_cong :premises (@p92 @p259) :args ((or @t109 @t58))) % 0.34/0.75 (step @p261 :rule trans :premises (@p260 @p258)) % 0.34/0.75 (step @p262 :rule bool-impl-elim :args (@t11 @t58)) % 0.34/0.75 (step @p263 :rule trans :premises (@p262 @p261)) % 0.34/0.75 (step @p264 :rule cong :premises (@p263) :args (@t59)) % 0.34/0.75 (step @p265 :rule eq_resolve :premises (@p14 @p264)) % 0.34/0.75 (step @p266 :rule instantiate :premises (@p265) :args (@t137)) % 0.34/0.75 (step @p267 :rule cnf_or_pos :args (@t177)) % 0.34/0.75 (step @p268 :rule reordering :premises (@p267) :args ((or @t147 @t146 @t144 @t142 @t140 @t172 (not @t177)))) % 0.34/0.75 (step @p269 :rule chain_m_resolution :premises (@p268 @p187 @p185 @p179 @p173 @p167 @p266) :args (@t172 @t152 (@list @t147 @t145 @t143 @t141 @t138 @t177))) % 0.34/0.75 (step @p270 :rule cnf_or_pos :args (@t176)) % 0.34/0.75 (step @p271 :rule reordering :premises (@p270) :args ((or @t131 @t173 @t175 (not @t176)))) % 0.34/0.75 (step @p272 :rule chain_m_resolution :premises (@p271 @p213 @p269 @p257) :args (@t175 @t160 (@list @t131 @t172 @t176))) % 0.34/0.75 (step @p273 :rule aci_norm :args ((= (or @t178 @t85) (or @t178 @t41 @t18)))) % 0.34/0.75 (step @p274 :rule bool-impl-elim :args (@t83 @t85)) % 0.34/0.75 (step @p275 :rule trans :premises (@p274 @p273)) % 0.34/0.75 (step @p276 :rule cong :premises (@p275) :args (@t86)) % 0.34/0.75 (step @p277 :rule eq_resolve :premises (@p52 @p276)) % 0.34/0.75 (step @p278 :rule instantiate :premises (@p277) :args ((@list @t126 @t124))) % 0.34/0.75 (step @p279 :rule bool-impl-elim :args (@t65 @t64)) % 0.34/0.75 (step @p280 :rule cong :premises (@p279) :args (@t66)) % 0.34/0.75 (step @p281 :rule eq_resolve :premises (@p18 @p280)) % 0.34/0.75 (step @p282 :rule instantiate :premises (@p281) :args ((@list @t123 @t123 @t124))) % 0.34/0.75 (step @p283 :rule cnf_or_pos :args (@t182)) % 0.34/0.75 (step @p284 :rule reordering :premises (@p283) :args ((or @t173 @t181 (not @t182)))) % 0.34/0.75 (step @p285 :rule chain_m_resolution :premises (@p284 @p269 @p282) :args (@t181 @t156 (@list @t172 @t182))) % 0.34/0.75 (step @p286 :rule cnf_and_pos :args (@t181 0)) % 0.34/0.75 (step @p287 :rule reordering :premises (@p286) :args ((or @t180 (not @t181)))) % 0.34/0.75 (step @p288 :rule chain_m_resolution :premises (@p287 @p285) :args (@t180 @t135 (@list @t181))) % 0.34/0.75 (step @p289 :rule cnf_or_neg :args (@t167 1)) % 0.34/0.75 (step @p290 :rule chain_m_resolution :premises (@p289 @p233) :args ((not @t165) @t149 @t168)) % 0.34/0.75 (step @p291 :rule cnf_or_pos :args (@t184)) % 0.34/0.75 (step @p292 :rule reordering :premises (@p291) :args ((or @t165 @t179 @t183 (not @t184)))) % 0.34/0.75 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p288 @p278) :args (@t183 (@list true true false) (@list @t165 @t179 @t184))) % 0.34/0.75 (step @p294 :rule cnf_equiv_pos2 :args (@t175)) % 0.34/0.75 (step @p295 :rule reordering :premises (@p294) :args ((or @t171 @t185 (not @t175)))) % 0.34/0.75 (step @p296 :rule chain_m_resolution :premises (@p295 @p293 @p272) :args (@t185 @t163 (@list @t171 @t175))) % 0.34/0.75 (step @p297 :rule cnf_or_pos :args (@t187)) % 0.34/0.75 (step @p298 :rule reordering :premises (@p297) :args ((or @t147 @t146 @t144 @t142 @t140 @t170 @t186 @t188))) % 0.34/0.75 (step @p299 :rule chain_m_resolution :premises (@p298 @p187 @p185 @p179 @p173 @p167 @p296 @p246) :args (@t188 (@list true false false false false true false) (@list @t147 @t145 @t143 @t141 @t138 @t170 @t127))) % 0.34/0.75 (assume-push @p310 @t189) % 0.34/0.75 (step @p301 :rule instantiate :premises (@p105) :args ((@list @t121 @t126))) % 0.34/0.75 (step-pop @p311 :rule scope :premises (@p301)) % 0.34/0.75 (step @p302 :rule process_scope :premises (@p311) :args (@t187)) % 0.34/0.75 (step @p304 :rule implies_elim :premises (@p302)) % 0.34/0.75 (step @p305 false :rule chain_m_resolution :premises (@p304 @p299 @p105) :args (false @t163 (@list @t187 @t189))) % 0.34/0.75 ) % 0.34/0.75 % SZS output end Proof % 0.34/0.75 % cvc5 exiting %------------------------------------------------------------------------------