%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP619+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:21:01 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP619+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.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 01:22:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.45/0.69 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.k1_funct_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.k1_fraenkel (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.69 (define @t2 () (tptp.u1_struct_0 @t1)) % 0.45/0.69 (define @t3 () (tptp.k1_autgroup @t1)) % 0.45/0.69 (define @t4 () (tptp.r1_tarski @t3 (tptp.k1_fraenkel @t2 @t2))) % 0.45/0.69 (define @t5 () (tptp.l1_group_1 @t1)) % 0.45/0.69 (define @t6 () (tptp.v4_group_1 @t1)) % 0.45/0.69 (define @t7 () (tptp.v3_group_1 @t1)) % 0.45/0.69 (define @t8 () (tptp.v1_group_1 @t1)) % 0.45/0.69 (define @t9 () (tptp.v3_struct_0 @t1)) % 0.45/0.69 (define @t10 () (not @t9)) % 0.45/0.69 (define @t11 () (and @t10 @t8 @t7 @t6 @t5)) % 0.45/0.69 (define @t12 () (@list @t1)) % 0.45/0.69 (define @t13 () (forall @t12 (=> @t11 @t4))) % 0.45/0.69 (define @t14 () (not @t13)) % 0.45/0.69 (define @t15 () (tptp.u1_group_1 @t1)) % 0.45/0.69 (define @t16 () (@var "B" $$unsorted)) % 0.45/0.69 (define @t17 () (tptp.r2_hidden @t1 @t16)) % 0.45/0.69 (define @t18 () (@list @t1 @t16)) % 0.45/0.69 (define @t19 () (tptp.v1_funct_1 @t16)) % 0.45/0.69 (define @t20 () (and (tptp.v1_relat_1 @t16) @t19)) % 0.45/0.69 (define @t21 () (tptp.m1_subset_1 @t16 @t1)) % 0.45/0.69 (define @t22 () (@list @t16)) % 0.45/0.69 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.45/0.69 (define @t24 () (tptp.v1_fraenkel @t1)) % 0.45/0.69 (define @t25 () (=> @t24 @t23)) % 0.45/0.69 (define @t26 () (forall @t12 @t25)) % 0.45/0.69 (define @t27 () (tptp.v1_funct_1 @t1)) % 0.45/0.69 (define @t28 () (tptp.v1_xboole_0 @t1)) % 0.45/0.69 (define @t29 () (@var "C" $$unsorted)) % 0.45/0.69 (define @t30 () (tptp.v1_funct_2 @t29 @t1 @t16)) % 0.45/0.69 (define @t31 () (tptp.v1_funct_1 @t29)) % 0.45/0.69 (define @t32 () (and @t31 @t30)) % 0.45/0.69 (define @t33 () (tptp.v1_partfun1 @t29 @t1 @t16)) % 0.45/0.69 (define @t34 () (tptp.m1_relset_1 @t29 @t1 @t16)) % 0.45/0.69 (define @t35 () (@list @t1 @t16 @t29)) % 0.45/0.69 (define @t36 () (tptp.v2_group_1 @t1)) % 0.45/0.69 (define @t37 () (tptp.v1_relat_1 @t29)) % 0.45/0.69 (define @t38 () (tptp.m1_subset_1 @t29 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t16)))) % 0.45/0.69 (define @t39 () (tptp.v2_funct_1 @t1)) % 0.45/0.69 (define @t40 () (tptp.v1_relat_1 @t1)) % 0.45/0.69 (define @t41 () (and @t40 @t27 @t39)) % 0.45/0.69 (define @t42 () (and @t40 @t28 @t27)) % 0.45/0.69 (define @t43 () (@list @t29)) % 0.45/0.69 (define @t44 () (tptp.v1_xboole_0 @t16)) % 0.45/0.69 (define @t45 () (not @t44)) % 0.45/0.69 (define @t46 () (tptp.v1_xboole_0 @t29)) % 0.45/0.69 (define @t47 () (not @t46)) % 0.45/0.69 (define @t48 () (not @t28)) % 0.45/0.69 (define @t49 () (tptp.r2_hidden @t29 @t16)) % 0.45/0.69 (define @t50 () (tptp.r2_hidden @t29 @t1)) % 0.45/0.69 (define @t51 () (forall @t43 (=> @t50 @t49))) % 0.45/0.69 (define @t52 () (tptp.r1_tarski @t1 @t16)) % 0.45/0.69 (define @t53 () (= @t52 @t51)) % 0.45/0.69 (define @t54 () (forall @t18 @t53)) % 0.45/0.69 (define @t55 () (tptp.g1_group_1 @t1 @t16)) % 0.45/0.69 (define @t56 () (tptp.v1_group_1 @t55)) % 0.45/0.69 (define @t57 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.45/0.69 (define @t58 () (tptp.m1_relset_1 @t16 @t57 @t1)) % 0.45/0.69 (define @t59 () (tptp.v1_funct_2 @t16 @t57 @t1)) % 0.45/0.69 (define @t60 () (and @t19 @t59 @t58)) % 0.45/0.69 (define @t61 () (tptp.m1_fraenkel @t3 @t2 @t2)) % 0.45/0.69 (define @t62 () (forall @t12 (=> @t11 @t61))) % 0.45/0.69 (define @t63 () (tptp.k1_fraenkel @t1 @t16)) % 0.45/0.69 (define @t64 () (tptp.l1_struct_0 @t1)) % 0.45/0.69 (define @t65 () (forall @t12 (=> @t5 @t64))) % 0.45/0.69 (define @t66 () (and @t47 (tptp.v1_fraenkel @t29))) % 0.45/0.69 (define @t67 () (tptp.m1_fraenkel @t29 @t1 @t16)) % 0.45/0.69 (define @t68 () (forall @t35 (=> @t67 @t66))) % 0.45/0.69 (define @t69 () (@var "D" $$unsorted)) % 0.45/0.69 (define @t70 () (and (tptp.v1_funct_1 @t69) (tptp.v1_funct_2 @t69 @t1 @t16) (tptp.m2_relset_1 @t69 @t1 @t16))) % 0.45/0.69 (define @t71 () (tptp.m2_fraenkel @t69 @t1 @t16 @t29)) % 0.45/0.69 (define @t72 () (@list @t69)) % 0.45/0.69 (define @t73 () (forall @t72 (=> @t71 @t70))) % 0.45/0.69 (define @t74 () (and @t45 @t67)) % 0.45/0.69 (define @t75 () (=> @t74 @t73)) % 0.45/0.69 (define @t76 () (forall @t35 @t75)) % 0.45/0.69 (define @t77 () (tptp.m2_relset_1 @t29 @t1 @t16)) % 0.45/0.69 (define @t78 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.45/0.69 (define @t79 () (tptp.k1_funct_2 @t1 @t16)) % 0.45/0.69 (define @t80 () (not (tptp.v1_xboole_0 @t2))) % 0.45/0.69 (define @t81 () (and @t10 @t64)) % 0.45/0.69 (define @t82 () (forall @t12 (=> @t81 @t80))) % 0.45/0.69 (define @t83 () (tptp.k1_funct_2 @t1 @t1)) % 0.45/0.69 (define @t84 () (= @t63 @t79)) % 0.45/0.69 (define @t85 () (forall @t18 (=> @t45 @t84))) % 0.45/0.69 (define @t86 () (forall @t72 (= @t71 (tptp.m1_subset_1 @t69 @t29)))) % 0.45/0.69 (define @t87 () (forall @t35 (=> @t74 @t86))) % 0.45/0.69 (define @t88 () (tptp.r2_hidden @t16 @t83)) % 0.45/0.69 (define @t89 () (tptp.m2_relset_1 @t16 @t1 @t1)) % 0.45/0.69 (define @t90 () (tptp.v1_funct_2 @t16 @t1 @t1)) % 0.45/0.69 (define @t91 () (and @t19 @t90 @t89)) % 0.45/0.69 (define @t92 () (forall @t18 (=> @t91 @t88))) % 0.45/0.69 (define @t93 () (tptp.m1_subset_1 @t1 @t16)) % 0.45/0.69 (define @t94 () (forall @t18 (=> @t17 @t93))) % 0.45/0.69 (define @t95 () (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t29))) % 0.45/0.69 (define @t96 () (not @t5)) % 0.45/0.69 (define @t97 () (not @t6)) % 0.45/0.69 (define @t98 () (not @t7)) % 0.45/0.69 (define @t99 () (not @t8)) % 0.45/0.69 (define @t100 () (or @t9 @t99 @t98 @t97 @t96 @t4)) % 0.45/0.69 (define @t101 () (@quantifiers_skolemize (forall @t12 @t100) 0)) % 0.45/0.69 (define @t102 () (tptp.u1_struct_0 @t101)) % 0.45/0.69 (define @t103 () (tptp.k1_fraenkel @t102 @t102)) % 0.45/0.69 (define @t104 () (tptp.k1_autgroup @t101)) % 0.45/0.69 (define @t105 () (or @t9 @t99 @t98 @t97 @t96)) % 0.45/0.69 (define @t106 () (not @t10)) % 0.45/0.69 (define @t107 () (or @t106 @t99 @t98 @t97 @t96)) % 0.45/0.69 (define @t108 () (not @t11)) % 0.45/0.69 (define @t109 () (tptp.r1_tarski @t104 @t103)) % 0.45/0.69 (define @t110 () (tptp.l1_group_1 @t101)) % 0.45/0.69 (define @t111 () (not @t110)) % 0.45/0.69 (define @t112 () (tptp.v4_group_1 @t101)) % 0.45/0.69 (define @t113 () (not @t112)) % 0.45/0.69 (define @t114 () (tptp.v3_group_1 @t101)) % 0.45/0.69 (define @t115 () (not @t114)) % 0.45/0.69 (define @t116 () (tptp.v1_group_1 @t101)) % 0.45/0.69 (define @t117 () (not @t116)) % 0.45/0.69 (define @t118 () (tptp.v3_struct_0 @t101)) % 0.45/0.69 (define @t119 () (or @t118 @t117 @t115 @t113 @t111 @t109)) % 0.45/0.69 (define @t120 () (@list true)) % 0.45/0.69 (define @t121 () (@list @t119)) % 0.45/0.69 (define @t122 () (forall @t43 (or (not (tptp.r2_hidden @t29 @t104)) (tptp.r2_hidden @t29 @t103)))) % 0.45/0.69 (define @t123 () (= @t109 @t122)) % 0.45/0.69 (define @t124 () (not @t122)) % 0.45/0.69 (define @t125 () (@list true false)) % 0.45/0.69 (define @t126 () (@quantifiers_skolemize @t122 0)) % 0.45/0.69 (define @t127 () (tptp.r2_hidden @t126 @t103)) % 0.45/0.69 (define @t128 () (tptp.r2_hidden @t126 @t104)) % 0.45/0.69 (define @t129 () (not @t128)) % 0.45/0.69 (define @t130 () (or @t129 @t127)) % 0.45/0.69 (define @t131 () (@list @t130)) % 0.45/0.69 (define @t132 () (not @t45)) % 0.45/0.69 (define @t133 () (not @t64)) % 0.45/0.69 (define @t134 () (@list @t101)) % 0.45/0.69 (define @t135 () (tptp.l1_struct_0 @t101)) % 0.45/0.69 (define @t136 () (or @t111 @t135)) % 0.45/0.69 (define @t137 () (@list false false)) % 0.45/0.69 (define @t138 () (tptp.v1_xboole_0 @t102)) % 0.45/0.69 (define @t139 () (not @t138)) % 0.45/0.69 (define @t140 () (not @t135)) % 0.45/0.69 (define @t141 () (or @t118 @t140 @t139)) % 0.45/0.69 (define @t142 () (@list true false false)) % 0.45/0.69 (define @t143 () (tptp.k1_funct_2 @t102 @t102)) % 0.45/0.69 (define @t144 () (= @t103 @t143)) % 0.45/0.69 (define @t145 () (or @t138 @t144)) % 0.45/0.69 (define @t146 () (tptp.r2_hidden @t126 @t143)) % 0.45/0.69 (define @t147 () (not @t89)) % 0.45/0.69 (define @t148 () (not @t90)) % 0.45/0.69 (define @t149 () (not @t19)) % 0.45/0.69 (define @t150 () (or @t149 @t148 @t147)) % 0.45/0.69 (define @t151 () (@var "BOUND_VARIABLE_7738" $$unsorted)) % 0.45/0.69 (define @t152 () (and (tptp.v1_relat_1 @t151) (tptp.v1_funct_1 @t151))) % 0.45/0.69 (define @t153 () (not (tptp.m1_subset_1 @t151 @t1))) % 0.45/0.69 (define @t154 () (not @t24)) % 0.45/0.69 (define @t155 () (or @t153 @t152)) % 0.45/0.69 (define @t156 () (or @t154 @t155)) % 0.45/0.69 (define @t157 () (forall (@list @t1 @t151) @t156)) % 0.45/0.69 (define @t158 () (@list @t151)) % 0.45/0.69 (define @t159 () (forall @t158 @t156)) % 0.45/0.69 (define @t160 () (forall @t158 @t155)) % 0.45/0.69 (define @t161 () (or @t154 @t160)) % 0.45/0.69 (define @t162 () (forall @t22 (or (not @t21) @t20))) % 0.45/0.69 (define @t163 () (tptp.m1_subset_1 @t126 @t104)) % 0.45/0.69 (define @t164 () (or @t129 @t163)) % 0.45/0.69 (define @t165 () (tptp.m1_fraenkel @t104 @t102 @t102)) % 0.45/0.69 (define @t166 () (or @t118 @t117 @t115 @t113 @t111 @t165)) % 0.45/0.69 (define @t167 () (tptp.v1_fraenkel @t104)) % 0.45/0.69 (define @t168 () (and (not (tptp.v1_xboole_0 @t104)) @t167)) % 0.45/0.69 (define @t169 () (not @t165)) % 0.45/0.69 (define @t170 () (or @t169 @t168)) % 0.45/0.69 (define @t171 () (@list false)) % 0.45/0.69 (define @t172 () (tptp.v1_funct_1 @t126)) % 0.45/0.69 (define @t173 () (and (tptp.v1_relat_1 @t126) @t172)) % 0.45/0.69 (define @t174 () (not @t163)) % 0.45/0.69 (define @t175 () (not @t167)) % 0.45/0.69 (define @t176 () (or @t175 @t174 @t173)) % 0.45/0.69 (define @t177 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 0.45/0.69 (define @t178 () (and (tptp.v1_funct_1 @t177) (tptp.v1_funct_2 @t177 @t1 @t16) (tptp.m2_relset_1 @t177 @t1 @t16))) % 0.45/0.69 (define @t179 () (not (tptp.m2_fraenkel @t177 @t1 @t16 @t29))) % 0.45/0.69 (define @t180 () (not @t67)) % 0.45/0.69 (define @t181 () (or @t179 @t178)) % 0.45/0.69 (define @t182 () (or @t44 @t180 @t181)) % 0.45/0.69 (define @t183 () (forall (@list @t1 @t16 @t29 @t177) @t182)) % 0.45/0.69 (define @t184 () (@list @t177)) % 0.45/0.69 (define @t185 () (forall @t184 @t182)) % 0.45/0.69 (define @t186 () (forall @t184 @t181)) % 0.45/0.69 (define @t187 () (@list @t69)) % 0.45/0.69 (define @t188 () (or @t44 @t180 @t186)) % 0.45/0.69 (define @t189 () (forall @t72 (or (not @t71) @t70))) % 0.45/0.69 (define @t190 () (or @t44 @t180 @t189)) % 0.45/0.69 (define @t191 () (or @t44 @t180)) % 0.45/0.69 (define @t192 () (not @t74)) % 0.45/0.69 (define @t193 () (@list @t102 @t102 @t104 @t126)) % 0.45/0.69 (define @t194 () (@var "BOUND_VARIABLE_8067" $$unsorted)) % 0.45/0.69 (define @t195 () (= (tptp.m2_fraenkel @t194 @t1 @t16 @t29) (tptp.m1_subset_1 @t194 @t29))) % 0.45/0.69 (define @t196 () (or @t44 @t180 @t195)) % 0.45/0.69 (define @t197 () (forall (@list @t1 @t16 @t29 @t194) @t196)) % 0.45/0.69 (define @t198 () (@list @t194)) % 0.45/0.69 (define @t199 () (forall @t198 @t196)) % 0.45/0.69 (define @t200 () (forall @t198 @t195)) % 0.45/0.69 (define @t201 () (or @t44 @t180 @t200)) % 0.45/0.69 (define @t202 () (or @t44 @t180 @t86)) % 0.45/0.69 (define @t203 () (tptp.m2_fraenkel @t126 @t102 @t102 @t104)) % 0.45/0.69 (define @t204 () (or @t138 @t169 (= @t203 @t163))) % 0.45/0.69 (define @t205 () (= @t163 @t203)) % 0.45/0.69 (define @t206 () (or @t138 @t169 @t205)) % 0.45/0.69 (define @t207 () (tptp.m2_relset_1 @t126 @t102 @t102)) % 0.45/0.69 (define @t208 () (tptp.v1_funct_2 @t126 @t102 @t102)) % 0.45/0.69 (define @t209 () (and @t172 @t208 @t207)) % 0.45/0.69 (define @t210 () (not @t203)) % 0.45/0.69 (define @t211 () (or @t138 @t169 @t210 @t209)) % 0.45/0.69 (define @t212 () (not @t209)) % 0.45/0.69 (define @t213 () (@list @t209)) % 0.45/0.69 (define @t214 () (not @t207)) % 0.45/0.69 (define @t215 () (not @t208)) % 0.45/0.69 (define @t216 () (not @t172)) % 0.45/0.69 (define @t217 () (or @t216 @t215 @t214 @t146)) % 0.45/0.69 (assume @p1 @t14) % 0.45/0.69 (assume @p2 (forall @t12 (=> @t5 (=> @t8 (= @t1 (tptp.g1_group_1 @t2 @t15)))))) % 0.45/0.69 (assume @p3 (forall @t18 (=> @t17 (not (tptp.r2_hidden @t16 @t1))))) % 0.45/0.69 (assume @p4 @t26) % 0.45/0.69 (assume @p5 (forall @t12 (=> @t28 @t27))) % 0.45/0.69 (assume @p6 (forall @t35 (=> @t34 (=> (and @t31 @t33) @t32)))) % 0.45/0.69 (assume @p7 (forall @t12 (=> @t5 (=> (and @t10 @t7) (and @t10 @t36))))) % 0.45/0.69 (assume @p8 (forall @t35 (=> @t38 @t37))) % 0.45/0.69 (assume @p9 (forall @t12 (=> @t42 @t41))) % 0.45/0.69 (assume @p10 (forall @t18 (=> @t45 (forall @t43 (=> @t34 (=> @t32 (and @t31 @t33 @t30))))))) % 0.45/0.69 (assume @p11 (forall @t18 (=> (and @t48 @t45) (forall @t43 (=> @t34 (=> @t32 (and @t31 @t47 @t33 @t30))))))) % 0.45/0.69 (assume @p12 @t54) % 0.45/0.69 (assume @p13 (forall @t18 (=> @t60 (and @t56 (tptp.l1_group_1 @t55))))) % 0.45/0.69 (assume @p14 @t62) % 0.45/0.69 (assume @p15 (forall @t18 (=> @t45 (tptp.m1_fraenkel @t63 @t1 @t16)))) % 0.45/0.69 (assume @p16 true) % 0.45/0.69 (assume @p17 @t65) % 0.45/0.69 (assume @p18 @t68) % 0.45/0.69 (assume @p19 @t76) % 0.45/0.69 (assume @p20 (forall @t35 (=> @t77 @t38))) % 0.45/0.69 (assume @p21 (forall @t12 (=> @t5 (and (tptp.v1_funct_1 @t15) (tptp.v1_funct_2 @t15 @t78 @t2) (tptp.m2_relset_1 @t15 @t78 @t2))))) % 0.45/0.69 (assume @p22 (exists @t12 @t5)) % 0.45/0.69 (assume @p23 (exists @t12 @t64)) % 0.45/0.69 (assume @p24 (forall @t18 (exists @t43 @t67))) % 0.45/0.69 (assume @p25 (forall @t18 (exists @t43 @t34))) % 0.45/0.69 (assume @p26 (forall @t12 (exists @t22 @t21))) % 0.45/0.69 (assume @p27 (forall @t35 (=> @t74 (exists @t72 @t71)))) % 0.45/0.69 (assume @p28 (forall @t18 (exists @t43 @t77))) % 0.45/0.69 (assume @p29 (forall @t18 (tptp.v1_fraenkel @t79))) % 0.45/0.69 (assume @p30 (forall @t18 (=> @t45 (not (tptp.v1_xboole_0 @t79))))) % 0.45/0.69 (assume @p31 (forall @t18 (=> (and @t48 @t19 @t59 @t58) (and (not (tptp.v3_struct_0 @t55)) @t56)))) % 0.45/0.69 (assume @p32 @t82) % 0.45/0.69 (assume @p33 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.45/0.69 (assume @p34 (forall @t12 (not (tptp.v1_xboole_0 @t83)))) % 0.45/0.69 (assume @p35 (forall @t18 (=> @t60 (forall (@list @t29 @t69) (=> (= @t55 (tptp.g1_group_1 @t29 @t69)) (and (= @t1 @t29) (= @t16 @t69))))))) % 0.45/0.69 (assume @p36 (exists @t12 (and @t48 @t24))) % 0.45/0.69 (assume @p37 (exists @t12 (and @t40 @t27))) % 0.45/0.69 (assume @p38 (forall @t18 (exists @t43 (and @t34 @t37 @t31 @t30)))) % 0.45/0.69 (assume @p39 (exists @t12 (and @t5 @t8))) % 0.45/0.69 (assume @p40 (exists @t12 (and @t40 @t27 @t39 @t28))) % 0.45/0.69 (assume @p41 (exists @t12 @t28)) % 0.45/0.69 (assume @p42 (exists @t12 @t42)) % 0.45/0.69 (assume @p43 (exists @t12 (and @t5 @t10 @t8))) % 0.45/0.69 (assume @p44 (forall @t18 (exists @t43 (and @t34 @t37 @t31)))) % 0.45/0.69 (assume @p45 (exists @t12 @t48)) % 0.45/0.69 (assume @p46 (exists @t12 @t41)) % 0.45/0.69 (assume @p47 (exists @t12 (and @t5 @t10 @t8 @t36 @t7 @t6))) % 0.45/0.69 (assume @p48 (exists @t12 (and @t64 @t10))) % 0.45/0.69 (assume @p49 (forall @t12 (=> @t81 (exists @t22 (and (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t2)) @t45))))) % 0.45/0.69 (assume @p50 @t85) % 0.45/0.69 (assume @p51 @t87) % 0.45/0.69 (assume @p52 (forall @t35 (= @t77 @t34))) % 0.45/0.69 (assume @p53 (forall @t18 (tptp.r1_tarski @t1 @t1))) % 0.45/0.69 (assume @p54 @t92) % 0.45/0.69 (assume @p55 @t94) % 0.45/0.69 (assume @p56 (forall @t18 (=> @t93 (or @t44 @t17)))) % 0.45/0.69 (assume @p57 (forall @t18 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t16)) @t52))) % 0.45/0.69 (assume @p58 (forall @t35 (=> (and @t17 @t95) (tptp.m1_subset_1 @t1 @t29)))) % 0.45/0.69 (assume @p59 (forall @t35 (not (and @t17 @t95 @t46)))) % 0.45/0.69 (assume @p60 (forall @t12 (=> @t28 (= @t1 tptp.k1_xboole_0)))) % 0.45/0.69 (assume @p61 (forall @t18 (not (and @t17 @t44)))) % 0.45/0.69 (assume @p62 (forall @t18 (not (and @t28 (not (= @t1 @t16)) @t44)))) % 0.45/0.69 (step @p63 :rule bool-impl-elim :args (@t50 @t49)) % 0.45/0.69 (step @p64 :rule cong :premises (@p63) :args (@t51)) % 0.45/0.69 (step @p65 :rule refl :args (@t52)) % 0.45/0.69 (step @p66 :rule cong :premises (@p65 @p64) :args (@t53)) % 0.45/0.69 (step @p67 :rule cong :premises (@p66) :args (@t54)) % 0.45/0.69 (step @p68 :rule eq_resolve :premises (@p12 @p67)) % 0.45/0.69 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t104 @t103))) % 0.45/0.69 (step @p70 :rule aci_norm :args ((= (or @t105 @t4) @t100))) % 0.45/0.69 (step @p71 :rule refl :args (@t4)) % 0.45/0.69 (step @p72 :rule refl :args (@t96)) % 0.45/0.69 (step @p73 :rule refl :args (@t97)) % 0.45/0.69 (step @p74 :rule refl :args (@t98)) % 0.45/0.69 (step @p75 :rule refl :args (@t99)) % 0.45/0.69 (step @p76 :rule bool-double-not-elim :args (@t9)) % 0.45/0.69 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72) :args (@t107)) % 0.45/0.69 (step @p78 :rule aci_norm :args ((= (or @t106 (or @t99 (or @t98 (or @t97 @t96)))) @t107))) % 0.45/0.69 (step @p79 :rule trans :premises (@p78 @p77)) % 0.45/0.69 (step @p80 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.45/0.69 (step @p81 :rule nary_cong :premises (@p74 @p80) :args ((or @t98 (not (and @t6 @t5))))) % 0.45/0.69 (step @p82 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5))) % 0.45/0.69 (step @p83 :rule trans :premises (@p82 @p81)) % 0.45/0.69 (step @p84 :rule nary_cong :premises (@p75 @p83) :args ((or @t99 (not (and @t7 @t6 @t5))))) % 0.45/0.69 (step @p85 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t5))) % 0.45/0.69 (step @p86 :rule trans :premises (@p85 @p84)) % 0.45/0.69 (step @p87 :rule refl :args (@t106)) % 0.45/0.69 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t106 (not (and @t8 @t7 @t6 @t5))))) % 0.45/0.69 (step @p89 :rule bool-and-de-morgan :args (@t10 @t8 (and @t7 @t6 @t5))) % 0.45/0.69 (step @p90 :rule trans :premises (@p89 @p88)) % 0.45/0.69 (step @p91 :rule trans :premises (@p90 @p79)) % 0.45/0.69 (step @p92 :rule nary_cong :premises (@p91 @p71) :args ((or @t108 @t4))) % 0.45/0.69 (step @p93 :rule trans :premises (@p92 @p70)) % 0.45/0.69 (step @p94 :rule bool-impl-elim :args (@t11 @t4)) % 0.45/0.69 (step @p95 :rule trans :premises (@p94 @p93)) % 0.45/0.69 (step @p96 :rule cong :premises (@p95) :args (@t13)) % 0.45/0.69 (step @p97 :rule cong :premises (@p96) :args (@t14)) % 0.45/0.69 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.45/0.69 (step @p99 :rule skolemize :premises (@p98)) % 0.45/0.69 (step @p100 :rule cnf_or_neg :args (@t119 5)) % 0.45/0.69 (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args ((not @t109) @t120 @t121)) % 0.45/0.69 (step @p102 :rule cnf_equiv_pos2 :args (@t123)) % 0.45/0.69 (step @p103 :rule reordering :premises (@p102) :args ((or @t109 @t124 (not @t123)))) % 0.45/0.69 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p69) :args (@t124 @t125 (@list @t109 @t123))) % 0.45/0.69 (step @p105 :rule skolemize :premises (@p104)) % 0.45/0.69 (step @p106 :rule cnf_or_neg :args (@t130 1)) % 0.45/0.69 (step @p107 :rule chain_m_resolution :premises (@p106 @p105) :args ((not @t127) @t120 @t131)) % 0.45/0.69 (step @p108 :rule false_intro :premises (@p107)) % 0.45/0.69 (step @p109 :rule refl :args (@t84)) % 0.45/0.69 (step @p110 :rule bool-double-not-elim :args (@t44)) % 0.45/0.69 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t132 @t84))) % 0.45/0.69 (step @p112 :rule bool-impl-elim :args (@t45 @t84)) % 0.45/0.69 (step @p113 :rule trans :premises (@p112 @p111)) % 0.45/0.69 (step @p114 :rule cong :premises (@p113) :args (@t85)) % 0.45/0.69 (step @p115 :rule eq_resolve :premises (@p50 @p114)) % 0.45/0.69 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t102 @t102))) % 0.45/0.69 (step @p117 :rule aci_norm :args ((= (or (or @t9 @t133) @t80) (or @t9 @t133 @t80)))) % 0.45/0.69 (step @p118 :rule refl :args (@t80)) % 0.45/0.69 (step @p119 :rule refl :args (@t133)) % 0.45/0.69 (step @p120 :rule nary_cong :premises (@p76 @p119) :args ((or @t106 @t133))) % 0.45/0.69 (step @p121 :rule bool-and-de-morgan :args (@t10 @t64 true)) % 0.45/0.69 (step @p122 :rule trans :premises (@p121 @p120)) % 0.45/0.69 (step @p123 :rule nary_cong :premises (@p122 @p118) :args ((or (not @t81) @t80))) % 0.45/0.69 (step @p124 :rule trans :premises (@p123 @p117)) % 0.45/0.69 (step @p125 :rule bool-impl-elim :args (@t81 @t80)) % 0.45/0.69 (step @p126 :rule trans :premises (@p125 @p124)) % 0.45/0.69 (step @p127 :rule cong :premises (@p126) :args (@t82)) % 0.45/0.69 (step @p128 :rule eq_resolve :premises (@p32 @p127)) % 0.45/0.69 (step @p129 :rule instantiate :premises (@p128) :args (@t134)) % 0.45/0.69 (step @p130 :rule bool-impl-elim :args (@t5 @t64)) % 0.45/0.69 (step @p131 :rule cong :premises (@p130) :args (@t65)) % 0.45/0.69 (step @p132 :rule eq_resolve :premises (@p17 @p131)) % 0.45/0.69 (step @p133 :rule instantiate :premises (@p132) :args (@t134)) % 0.45/0.69 (step @p134 :rule bool-double-not-elim :args (@t110)) % 0.45/0.69 (step @p135 :rule refl :args (@t119)) % 0.45/0.69 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t119 (not @t111)))) % 0.45/0.69 (step @p137 :rule cnf_or_neg :args (@t119 4)) % 0.45/0.69 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.45/0.69 (step @p139 :rule reordering :premises (@p138) :args ((or @t110 @t119))) % 0.45/0.69 (step @p140 :rule chain_m_resolution :premises (@p139 @p99) :args (@t110 @t120 @t121)) % 0.45/0.69 (step @p141 :rule cnf_or_pos :args (@t136)) % 0.45/0.69 (step @p142 :rule reordering :premises (@p141) :args ((or @t111 @t135 (not @t136)))) % 0.45/0.69 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p133) :args (@t135 @t137 (@list @t110 @t136))) % 0.45/0.69 (step @p144 :rule cnf_or_neg :args (@t119 0)) % 0.45/0.69 (step @p145 :rule chain_m_resolution :premises (@p144 @p99) :args ((not @t118) @t120 @t121)) % 0.45/0.69 (step @p146 :rule cnf_or_pos :args (@t141)) % 0.45/0.69 (step @p147 :rule reordering :premises (@p146) :args ((or @t118 @t140 @t139 (not @t141)))) % 0.45/0.69 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p143 @p129) :args (@t139 @t142 (@list @t118 @t135 @t141))) % 0.45/0.69 (step @p149 :rule cnf_or_pos :args (@t145)) % 0.45/0.69 (step @p150 :rule reordering :premises (@p149) :args ((or @t138 @t144 (not @t145)))) % 0.45/0.69 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p116) :args (@t144 @t125 (@list @t138 @t145))) % 0.45/0.69 (step @p152 :rule symm :premises (@p151)) % 0.45/0.69 (step @p153 :rule refl :args (@t126)) % 0.45/0.69 (step @p154 :rule cong :premises (@p153 @p152) :args (@t146)) % 0.45/0.69 (step @p155 :rule trans :premises (@p154 @p108)) % 0.45/0.69 (step @p156 :rule false_elim :premises (@p155)) % 0.45/0.69 (step @p157 :rule aci_norm :args ((= (or @t150 @t88) (or @t149 @t148 @t147 @t88)))) % 0.45/0.69 (step @p158 :rule refl :args (@t88)) % 0.45/0.69 (step @p159 :rule aci_norm :args ((= (or @t149 (or @t148 @t147)) @t150))) % 0.45/0.69 (step @p160 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 0.45/0.69 (step @p161 :rule refl :args (@t149)) % 0.45/0.69 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t149 (not (and @t90 @t89))))) % 0.45/0.69 (step @p163 :rule bool-and-de-morgan :args (@t19 @t90 (and @t89))) % 0.45/0.69 (step @p164 :rule trans :premises (@p163 @p162)) % 0.45/0.69 (step @p165 :rule trans :premises (@p164 @p159)) % 0.45/0.69 (step @p166 :rule nary_cong :premises (@p165 @p158) :args ((or (not @t91) @t88))) % 0.45/0.69 (step @p167 :rule trans :premises (@p166 @p157)) % 0.45/0.69 (step @p168 :rule bool-impl-elim :args (@t91 @t88)) % 0.45/0.69 (step @p169 :rule trans :premises (@p168 @p167)) % 0.45/0.69 (step @p170 :rule cong :premises (@p169) :args (@t92)) % 0.45/0.69 (step @p171 :rule eq_resolve :premises (@p54 @p170)) % 0.45/0.69 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t102 @t126))) % 0.45/0.69 (step @p173 :rule aci_norm :args ((= @t156 (or @t154 @t153 @t152)))) % 0.45/0.69 (step @p174 :rule cong :premises (@p173) :args (@t157)) % 0.45/0.69 (step @p175 :rule quant-merge-prenex :args ((= (forall @t12 @t159) @t157))) % 0.45/0.69 (step @p176 :rule alpha_equiv :args (@t160 (@list @t151) (@list @t16))) % 0.45/0.69 (step @p177 :rule refl :args (@t154)) % 0.45/0.69 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t161)) % 0.45/0.69 (step @p179 :rule quant-miniscope-or :args ((= @t159 @t161))) % 0.45/0.69 (step @p180 :rule trans :premises (@p179 @p178)) % 0.45/0.69 (step @p181 :rule symm :premises (@p180)) % 0.45/0.69 (step @p182 :rule cong :premises (@p181) :args ((forall @t12 (or @t154 @t162)))) % 0.45/0.69 (step @p183 :rule trans :premises (@p182 @p175)) % 0.45/0.69 (step @p184 :rule trans :premises (@p183 @p174)) % 0.45/0.69 (step @p185 :rule bool-impl-elim :args (@t24 @t162)) % 0.45/0.69 (step @p186 :rule cong :premises (@p185) :args ((forall @t12 (=> @t24 @t162)))) % 0.45/0.69 (step @p187 :rule trans :premises (@p186 @p184)) % 0.45/0.69 (step @p188 :rule bool-impl-elim :args (@t21 @t20)) % 0.45/0.69 (step @p189 :rule cong :premises (@p188) :args (@t23)) % 0.45/0.69 (step @p190 :rule refl :args (@t24)) % 0.45/0.69 (step @p191 :rule cong :premises (@p190 @p189) :args (@t25)) % 0.45/0.69 (step @p192 :rule cong :premises (@p191) :args (@t26)) % 0.45/0.69 (step @p193 :rule trans :premises (@p192 @p187)) % 0.45/0.69 (step @p194 :rule eq_resolve :premises (@p4 @p193)) % 0.45/0.69 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t104 @t126))) % 0.45/0.69 (step @p196 :rule bool-impl-elim :args (@t17 @t93)) % 0.45/0.69 (step @p197 :rule cong :premises (@p196) :args (@t94)) % 0.45/0.69 (step @p198 :rule eq_resolve :premises (@p55 @p197)) % 0.45/0.69 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t126 @t104))) % 0.45/0.69 (step @p200 :rule bool-double-not-elim :args (@t128)) % 0.45/0.69 (step @p201 :rule refl :args (@t130)) % 0.45/0.69 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t130 (not @t129)))) % 0.45/0.69 (step @p203 :rule cnf_or_neg :args (@t130 0)) % 0.45/0.69 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.45/0.69 (step @p205 :rule reordering :premises (@p204) :args ((or @t128 @t130))) % 0.45/0.69 (step @p206 :rule chain_m_resolution :premises (@p205 @p105) :args (@t128 @t120 @t131)) % 0.45/0.69 (step @p207 :rule cnf_or_pos :args (@t164)) % 0.45/0.69 (step @p208 :rule reordering :premises (@p207) :args ((or @t129 @t163 (not @t164)))) % 0.45/0.69 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p199) :args (@t163 @t137 (@list @t128 @t164))) % 0.45/0.69 (step @p210 :rule bool-impl-elim :args (@t67 @t66)) % 0.45/0.69 (step @p211 :rule cong :premises (@p210) :args (@t68)) % 0.45/0.69 (step @p212 :rule eq_resolve :premises (@p18 @p211)) % 0.45/0.69 (step @p213 :rule instantiate :premises (@p212) :args ((@list @t102 @t102 @t104))) % 0.45/0.69 (step @p214 :rule aci_norm :args ((= (or @t105 @t61) (or @t9 @t99 @t98 @t97 @t96 @t61)))) % 0.45/0.69 (step @p215 :rule refl :args (@t61)) % 0.45/0.69 (step @p216 :rule nary_cong :premises (@p91 @p215) :args ((or @t108 @t61))) % 0.45/0.69 (step @p217 :rule trans :premises (@p216 @p214)) % 0.45/0.69 (step @p218 :rule bool-impl-elim :args (@t11 @t61)) % 0.45/0.69 (step @p219 :rule trans :premises (@p218 @p217)) % 0.45/0.69 (step @p220 :rule cong :premises (@p219) :args (@t62)) % 0.45/0.69 (step @p221 :rule eq_resolve :premises (@p14 @p220)) % 0.45/0.69 (step @p222 :rule instantiate :premises (@p221) :args (@t134)) % 0.45/0.69 (step @p223 :rule bool-double-not-elim :args (@t112)) % 0.45/0.69 (step @p224 :rule nary_cong :premises (@p135 @p223) :args ((or @t119 (not @t113)))) % 0.45/0.69 (step @p225 :rule cnf_or_neg :args (@t119 3)) % 0.45/0.69 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.45/0.69 (step @p227 :rule reordering :premises (@p226) :args ((or @t112 @t119))) % 0.45/0.69 (step @p228 :rule chain_m_resolution :premises (@p227 @p99) :args (@t112 @t120 @t121)) % 0.45/0.69 (step @p229 :rule bool-double-not-elim :args (@t114)) % 0.45/0.69 (step @p230 :rule nary_cong :premises (@p135 @p229) :args ((or @t119 (not @t115)))) % 0.45/0.69 (step @p231 :rule cnf_or_neg :args (@t119 2)) % 0.45/0.69 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.45/0.69 (step @p233 :rule reordering :premises (@p232) :args ((or @t114 @t119))) % 0.45/0.69 (step @p234 :rule chain_m_resolution :premises (@p233 @p99) :args (@t114 @t120 @t121)) % 0.45/0.69 (step @p235 :rule bool-double-not-elim :args (@t116)) % 0.45/0.69 (step @p236 :rule nary_cong :premises (@p135 @p235) :args ((or @t119 (not @t117)))) % 0.45/0.69 (step @p237 :rule cnf_or_neg :args (@t119 1)) % 0.45/0.69 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.45/0.69 (step @p239 :rule reordering :premises (@p238) :args ((or @t116 @t119))) % 0.45/0.69 (step @p240 :rule chain_m_resolution :premises (@p239 @p99) :args (@t116 @t120 @t121)) % 0.45/0.69 (step @p241 :rule cnf_or_pos :args (@t166)) % 0.45/0.69 (step @p242 :rule reordering :premises (@p241) :args ((or @t118 @t117 @t115 @t113 @t111 @t165 (not @t166)))) % 0.45/0.69 (step @p243 :rule chain_m_resolution :premises (@p242 @p145 @p240 @p234 @p228 @p140 @p222) :args (@t165 (@list true false false false false false) (@list @t118 @t116 @t114 @t112 @t110 @t166))) % 0.45/0.69 (step @p244 :rule cnf_or_pos :args (@t170)) % 0.45/0.69 (step @p245 :rule reordering :premises (@p244) :args ((or @t169 @t168 (not @t170)))) % 0.45/0.69 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p213) :args (@t168 @t137 (@list @t165 @t170))) % 0.45/0.69 (step @p247 :rule cnf_and_pos :args (@t168 1)) % 0.45/0.69 (step @p248 :rule reordering :premises (@p247) :args ((or @t167 (not @t168)))) % 0.45/0.69 (step @p249 :rule chain_m_resolution :premises (@p248 @p246) :args (@t167 @t171 (@list @t168))) % 0.45/0.69 (step @p250 :rule cnf_or_pos :args (@t176)) % 0.45/0.69 (step @p251 :rule reordering :premises (@p250) :args ((or @t175 @t174 @t173 (not @t176)))) % 0.45/0.69 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p209 @p195) :args (@t173 (@list false false false) (@list @t167 @t163 @t176))) % 0.45/0.69 (step @p253 :rule cnf_and_pos :args (@t173 1)) % 0.45/0.69 (step @p254 :rule reordering :premises (@p253) :args ((or @t172 (not @t173)))) % 0.45/0.69 (step @p255 :rule chain_m_resolution :premises (@p254 @p252) :args (@t172 @t171 (@list @t173))) % 0.45/0.69 (step @p256 :rule aci_norm :args ((= @t182 (or @t44 @t180 @t179 @t178)))) % 0.45/0.69 (step @p257 :rule cong :premises (@p256) :args (@t183)) % 0.45/0.69 (step @p258 :rule quant-merge-prenex :args ((= (forall @t35 @t185) @t183))) % 0.45/0.69 (step @p259 :rule alpha_equiv :args (@t186 (@list @t177) @t187)) % 0.45/0.69 (step @p260 :rule refl :args (@t180)) % 0.45/0.69 (step @p261 :rule refl :args (@t44)) % 0.45/0.69 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259) :args (@t188)) % 0.45/0.69 (step @p263 :rule quant-miniscope-or :args ((= @t185 @t188))) % 0.45/0.69 (step @p264 :rule trans :premises (@p263 @p262)) % 0.45/0.69 (step @p265 :rule symm :premises (@p264)) % 0.45/0.69 (step @p266 :rule cong :premises (@p265) :args ((forall @t35 @t190))) % 0.45/0.69 (step @p267 :rule trans :premises (@p266 @p258)) % 0.45/0.69 (step @p268 :rule trans :premises (@p267 @p257)) % 0.45/0.69 (step @p269 :rule aci_norm :args ((= (or @t191 @t189) @t190))) % 0.45/0.69 (step @p270 :rule refl :args (@t189)) % 0.45/0.69 (step @p271 :rule nary_cong :premises (@p110 @p260) :args ((or @t132 @t180))) % 0.45/0.69 (step @p272 :rule bool-and-de-morgan :args (@t45 @t67 true)) % 0.45/0.69 (step @p273 :rule trans :premises (@p272 @p271)) % 0.45/0.69 (step @p274 :rule nary_cong :premises (@p273 @p270) :args ((or @t192 @t189))) % 0.45/0.69 (step @p275 :rule trans :premises (@p274 @p269)) % 0.45/0.69 (step @p276 :rule bool-impl-elim :args (@t74 @t189)) % 0.45/0.69 (step @p277 :rule trans :premises (@p276 @p275)) % 0.45/0.69 (step @p278 :rule cong :premises (@p277) :args ((forall @t35 (=> @t74 @t189)))) % 0.45/0.69 (step @p279 :rule trans :premises (@p278 @p268)) % 0.45/0.69 (step @p280 :rule bool-impl-elim :args (@t71 @t70)) % 0.45/0.69 (step @p281 :rule cong :premises (@p280) :args (@t73)) % 0.45/0.69 (step @p282 :rule refl :args (@t74)) % 0.45/0.69 (step @p283 :rule cong :premises (@p282 @p281) :args (@t75)) % 0.45/0.69 (step @p284 :rule cong :premises (@p283) :args (@t76)) % 0.45/0.69 (step @p285 :rule trans :premises (@p284 @p279)) % 0.45/0.69 (step @p286 :rule eq_resolve :premises (@p19 @p285)) % 0.45/0.69 (step @p287 :rule instantiate :premises (@p286) :args (@t193)) % 0.45/0.69 (step @p288 :rule quant-merge-prenex :args ((= (forall @t35 @t199) @t197))) % 0.45/0.69 (step @p289 :rule alpha_equiv :args (@t200 (@list @t194) @t187)) % 0.45/0.69 (step @p290 :rule nary_cong :premises (@p261 @p260 @p289) :args (@t201)) % 0.45/0.69 (step @p291 :rule quant-miniscope-or :args ((= @t199 @t201))) % 0.45/0.69 (step @p292 :rule trans :premises (@p291 @p290)) % 0.45/0.69 (step @p293 :rule symm :premises (@p292)) % 0.45/0.69 (step @p294 :rule cong :premises (@p293) :args ((forall @t35 @t202))) % 0.45/0.69 (step @p295 :rule trans :premises (@p294 @p288)) % 0.45/0.69 (step @p296 :rule aci_norm :args ((= (or @t191 @t86) @t202))) % 0.45/0.69 (step @p297 :rule refl :args (@t86)) % 0.45/0.69 (step @p298 :rule nary_cong :premises (@p273 @p297) :args ((or @t192 @t86))) % 0.45/0.69 (step @p299 :rule trans :premises (@p298 @p296)) % 0.45/0.69 (step @p300 :rule bool-impl-elim :args (@t74 @t86)) % 0.45/0.69 (step @p301 :rule trans :premises (@p300 @p299)) % 0.45/0.69 (step @p302 :rule cong :premises (@p301) :args (@t87)) % 0.45/0.69 (step @p303 :rule trans :premises (@p302 @p295)) % 0.45/0.69 (step @p304 :rule eq_resolve :premises (@p51 @p303)) % 0.45/0.69 (step @p305 :rule eq-symm :args (@t203 @t163)) % 0.45/0.69 (step @p306 :rule refl :args (@t169)) % 0.45/0.69 (step @p307 :rule refl :args (@t138)) % 0.45/0.69 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t204)) % 0.45/0.69 (step @p309 :rule refl :args (@t197)) % 0.45/0.69 (step @p310 :rule cong :premises (@p309 @p308) :args ((=> @t197 @t204))) % 0.45/0.69 (assume-push @p336 @t197) % 0.45/0.69 (step @p312 :rule instantiate :premises (@p304) :args (@t193)) % 0.45/0.69 (step-pop @p337 :rule scope :premises (@p312)) % 0.45/0.69 (step @p313 :rule process_scope :premises (@p337) :args (@t204)) % 0.45/0.69 (step @p315 :rule eq_resolve :premises (@p313 @p310)) % 0.45/0.69 (step @p316 :rule implies_elim :premises (@p315)) % 0.45/0.69 (step @p317 :rule chain_m_resolution :premises (@p316 @p304) :args (@t206 @t171 (@list @t197))) % 0.45/0.69 (step @p318 :rule cnf_or_pos :args (@t206)) % 0.45/0.69 (step @p319 :rule reordering :premises (@p318) :args ((or @t138 @t169 @t205 (not @t206)))) % 0.45/0.69 (step @p320 :rule chain_m_resolution :premises (@p319 @p148 @p243 @p317) :args (@t205 @t142 (@list @t138 @t165 @t206))) % 0.45/0.69 (step @p321 :rule cnf_equiv_pos1 :args (@t205)) % 0.45/0.69 (step @p322 :rule reordering :premises (@p321) :args ((or @t174 @t203 (not @t205)))) % 0.45/0.69 (step @p323 :rule chain_m_resolution :premises (@p322 @p209 @p320) :args (@t203 @t137 (@list @t163 @t205))) % 0.45/0.69 (step @p324 :rule cnf_or_pos :args (@t211)) % 0.45/0.69 (step @p325 :rule reordering :premises (@p324) :args ((or @t138 @t169 @t210 @t209 (not @t211)))) % 0.45/0.69 (step @p326 :rule chain_m_resolution :premises (@p325 @p148 @p243 @p323 @p287) :args (@t209 (@list true false false false) (@list @t138 @t165 @t203 @t211))) % 0.45/0.69 (step @p327 :rule cnf_and_pos :args (@t209 1)) % 0.45/0.69 (step @p328 :rule reordering :premises (@p327) :args ((or @t208 @t212))) % 0.45/0.69 (step @p329 :rule chain_m_resolution :premises (@p328 @p326) :args (@t208 @t171 @t213)) % 0.45/0.69 (step @p330 :rule cnf_and_pos :args (@t209 2)) % 0.45/0.69 (step @p331 :rule reordering :premises (@p330) :args ((or @t207 @t212))) % 0.45/0.69 (step @p332 :rule chain_m_resolution :premises (@p331 @p326) :args (@t207 @t171 @t213)) % 0.45/0.69 (step @p333 :rule cnf_or_pos :args (@t217)) % 0.45/0.69 (step @p334 :rule reordering :premises (@p333) :args ((or @t216 @t215 @t214 @t146 (not @t217)))) % 0.45/0.69 (step @p335 false :rule chain_m_resolution :premises (@p334 @p332 @p329 @p255 @p172 @p156) :args (false (@list false false false false true) (@list @t207 @t208 @t172 @t217 @t146))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------