%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP642+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 : n008.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 08:21:08 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP642+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:33:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.45/0.64 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.64 (define @t2 () (@var "A" $$unsorted)) % 0.45/0.64 (define @t3 () (tptp.k1_latsubgr @t2)) % 0.45/0.64 (define @t4 () (tptp.k1_funct_1 @t3 @t1)) % 0.45/0.64 (define @t5 () (not (= @t4 tptp.k1_xboole_0))) % 0.45/0.64 (define @t6 () (tptp.m1_group_2 @t1 @t2)) % 0.45/0.64 (define @t7 () (tptp.v1_group_1 @t1)) % 0.45/0.64 (define @t8 () (and @t7 @t6)) % 0.45/0.64 (define @t9 () (=> @t8 @t5)) % 0.45/0.64 (define @t10 () (@list @t1)) % 0.45/0.64 (define @t11 () (forall @t10 @t9)) % 0.45/0.64 (define @t12 () (tptp.l1_group_1 @t2)) % 0.45/0.64 (define @t13 () (tptp.v4_group_1 @t2)) % 0.45/0.64 (define @t14 () (tptp.v3_group_1 @t2)) % 0.45/0.64 (define @t15 () (tptp.v3_struct_0 @t2)) % 0.45/0.64 (define @t16 () (not @t15)) % 0.45/0.64 (define @t17 () (and @t16 @t14 @t13 @t12)) % 0.45/0.64 (define @t18 () (=> @t17 @t11)) % 0.45/0.64 (define @t19 () (@list @t2)) % 0.45/0.64 (define @t20 () (forall @t19 @t18)) % 0.45/0.64 (define @t21 () (not @t20)) % 0.45/0.64 (define @t22 () (tptp.u1_group_1 @t2)) % 0.45/0.64 (define @t23 () (tptp.u1_struct_0 @t2)) % 0.45/0.64 (define @t24 () (tptp.r2_hidden @t2 @t1)) % 0.45/0.64 (define @t25 () (@list @t2 @t1)) % 0.45/0.64 (define @t26 () (@var "C" $$unsorted)) % 0.45/0.64 (define @t27 () (tptp.v1_funct_2 @t26 @t2 @t1)) % 0.45/0.64 (define @t28 () (tptp.v1_funct_1 @t26)) % 0.45/0.64 (define @t29 () (and @t28 @t27)) % 0.45/0.64 (define @t30 () (tptp.v1_partfun1 @t26 @t2 @t1)) % 0.45/0.64 (define @t31 () (tptp.m1_relset_1 @t26 @t2 @t1)) % 0.45/0.64 (define @t32 () (@list @t2 @t1 @t26)) % 0.45/0.64 (define @t33 () (tptp.v1_relat_1 @t26)) % 0.45/0.64 (define @t34 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.45/0.64 (define @t35 () (tptp.m1_subset_1 @t26 (tptp.k1_zfmisc_1 @t34))) % 0.45/0.64 (define @t36 () (@list @t26)) % 0.45/0.64 (define @t37 () (tptp.v1_xboole_0 @t1)) % 0.45/0.64 (define @t38 () (not @t37)) % 0.45/0.64 (define @t39 () (tptp.v1_xboole_0 @t26)) % 0.45/0.64 (define @t40 () (tptp.v1_xboole_0 @t2)) % 0.45/0.64 (define @t41 () (not @t40)) % 0.45/0.64 (define @t42 () (and @t41 @t38)) % 0.45/0.64 (define @t43 () (tptp.u1_struct_0 @t26)) % 0.45/0.64 (define @t44 () (= (tptp.k1_funct_1 @t1 @t26) @t43)) % 0.45/0.64 (define @t45 () (tptp.m1_group_2 @t26 @t2)) % 0.45/0.64 (define @t46 () (tptp.v1_group_1 @t26)) % 0.45/0.64 (define @t47 () (and @t46 @t45)) % 0.45/0.64 (define @t48 () (forall @t36 (=> @t47 @t44))) % 0.45/0.64 (define @t49 () (= @t1 @t3)) % 0.45/0.64 (define @t50 () (= @t49 @t48)) % 0.45/0.64 (define @t51 () (tptp.k1_zfmisc_1 @t23)) % 0.45/0.64 (define @t52 () (tptp.k1_group_3 @t2)) % 0.45/0.64 (define @t53 () (tptp.m2_relset_1 @t1 @t52 @t51)) % 0.45/0.64 (define @t54 () (tptp.v1_funct_2 @t1 @t52 @t51)) % 0.45/0.64 (define @t55 () (tptp.v1_funct_1 @t1)) % 0.45/0.64 (define @t56 () (and @t55 @t54 @t53)) % 0.45/0.64 (define @t57 () (=> @t56 @t50)) % 0.45/0.64 (define @t58 () (forall @t10 @t57)) % 0.45/0.64 (define @t59 () (=> @t17 @t58)) % 0.45/0.64 (define @t60 () (forall @t19 @t59)) % 0.45/0.64 (define @t61 () (tptp.g1_group_1 @t2 @t1)) % 0.45/0.64 (define @t62 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.45/0.64 (define @t63 () (and @t55 (tptp.v1_funct_2 @t1 @t62 @t2) (tptp.m1_relset_1 @t1 @t62 @t2))) % 0.45/0.64 (define @t64 () (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t52 @t51) (tptp.m2_relset_1 @t3 @t52 @t51))) % 0.45/0.64 (define @t65 () (forall @t19 (=> @t17 @t64))) % 0.45/0.64 (define @t66 () (tptp.l1_struct_0 @t2)) % 0.45/0.64 (define @t67 () (forall @t19 (=> @t12 @t66))) % 0.45/0.64 (define @t68 () (and (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.l1_group_1 @t1))) % 0.45/0.64 (define @t69 () (forall @t10 (=> @t6 @t68))) % 0.45/0.64 (define @t70 () (and @t16 @t14 @t12)) % 0.45/0.64 (define @t71 () (=> @t70 @t69)) % 0.45/0.64 (define @t72 () (forall @t19 @t71)) % 0.45/0.64 (define @t73 () (tptp.m2_relset_1 @t26 @t2 @t1)) % 0.45/0.64 (define @t74 () (tptp.k2_zfmisc_1 @t23 @t23)) % 0.45/0.64 (define @t75 () (not (tptp.v1_xboole_0 @t23))) % 0.45/0.64 (define @t76 () (and @t16 @t66)) % 0.45/0.64 (define @t77 () (forall @t19 (=> @t76 @t75))) % 0.45/0.64 (define @t78 () (tptp.k1_zfmisc_1 @t2)) % 0.45/0.64 (define @t79 () (@var "D" $$unsorted)) % 0.45/0.64 (define @t80 () (tptp.m1_subset_1 @t1 @t78)) % 0.45/0.64 (define @t81 () (tptp.m1_subset_1 @t2 @t1)) % 0.45/0.64 (define @t82 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t26))) % 0.45/0.64 (define @t83 () (@var "BOUND_VARIABLE_7688" $$unsorted)) % 0.45/0.64 (define @t84 () (not (= tptp.k1_xboole_0 (tptp.k1_funct_1 @t3 @t83)))) % 0.45/0.64 (define @t85 () (not (tptp.m1_group_2 @t83 @t2))) % 0.45/0.64 (define @t86 () (not (tptp.v1_group_1 @t83))) % 0.45/0.64 (define @t87 () (not @t12)) % 0.45/0.64 (define @t88 () (not @t13)) % 0.45/0.64 (define @t89 () (not @t14)) % 0.45/0.64 (define @t90 () (or @t15 @t89 @t88 @t87 @t86 @t85 @t84)) % 0.45/0.64 (define @t91 () (or @t86 @t85 @t84)) % 0.45/0.64 (define @t92 () (or @t15 @t89 @t88 @t87 @t91)) % 0.45/0.64 (define @t93 () (@list @t2 @t83)) % 0.45/0.64 (define @t94 () (forall @t93 @t92)) % 0.45/0.64 (define @t95 () (@list @t83)) % 0.45/0.64 (define @t96 () (forall @t95 @t92)) % 0.45/0.64 (define @t97 () (forall @t95 @t91)) % 0.45/0.64 (define @t98 () (@list @t1)) % 0.45/0.64 (define @t99 () (or @t15 @t89 @t88 @t87 @t97)) % 0.45/0.64 (define @t100 () (not (= tptp.k1_xboole_0 @t4))) % 0.45/0.64 (define @t101 () (not @t6)) % 0.45/0.64 (define @t102 () (not @t7)) % 0.45/0.64 (define @t103 () (or @t102 @t101 @t100)) % 0.45/0.64 (define @t104 () (forall @t10 @t103)) % 0.45/0.64 (define @t105 () (or @t15 @t89 @t88 @t87 @t104)) % 0.45/0.64 (define @t106 () (or @t15 @t89 @t88 @t87)) % 0.45/0.64 (define @t107 () (not @t16)) % 0.45/0.64 (define @t108 () (or @t107 @t89 @t88 @t87)) % 0.45/0.64 (define @t109 () (not @t17)) % 0.45/0.64 (define @t110 () (forall @t93 @t90)) % 0.45/0.64 (define @t111 () (@quantifiers_skolemize @t110 1)) % 0.45/0.64 (define @t112 () (@quantifiers_skolemize @t110 0)) % 0.45/0.64 (define @t113 () (tptp.k1_latsubgr @t112)) % 0.45/0.64 (define @t114 () (tptp.k1_funct_1 @t113 @t111)) % 0.45/0.64 (define @t115 () (= tptp.k1_xboole_0 @t114)) % 0.45/0.64 (define @t116 () (not @t115)) % 0.45/0.64 (define @t117 () (tptp.m1_group_2 @t111 @t112)) % 0.45/0.64 (define @t118 () (not @t117)) % 0.45/0.64 (define @t119 () (tptp.v1_group_1 @t111)) % 0.45/0.64 (define @t120 () (not @t119)) % 0.45/0.64 (define @t121 () (tptp.l1_group_1 @t112)) % 0.45/0.64 (define @t122 () (not @t121)) % 0.45/0.64 (define @t123 () (tptp.v4_group_1 @t112)) % 0.45/0.64 (define @t124 () (not @t123)) % 0.45/0.64 (define @t125 () (tptp.v3_group_1 @t112)) % 0.45/0.64 (define @t126 () (not @t125)) % 0.45/0.64 (define @t127 () (tptp.v3_struct_0 @t112)) % 0.45/0.64 (define @t128 () (or @t127 @t126 @t124 @t122 @t120 @t118 @t116)) % 0.45/0.64 (define @t129 () (@list true)) % 0.45/0.64 (define @t130 () (@list @t128)) % 0.45/0.64 (define @t131 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 0.45/0.64 (define @t132 () (tptp.k1_funct_1 @t131 @t26)) % 0.45/0.64 (define @t133 () (not @t45)) % 0.45/0.64 (define @t134 () (not @t46)) % 0.45/0.64 (define @t135 () (or @t134 @t133 (= @t132 @t43))) % 0.45/0.64 (define @t136 () (forall @t36 @t135)) % 0.45/0.64 (define @t137 () (= (= @t131 @t3) @t136)) % 0.45/0.64 (define @t138 () (not (tptp.m2_relset_1 @t131 @t52 @t51))) % 0.45/0.64 (define @t139 () (not (tptp.v1_funct_2 @t131 @t52 @t51))) % 0.45/0.64 (define @t140 () (not (tptp.v1_funct_1 @t131))) % 0.45/0.64 (define @t141 () (or @t15 @t89 @t88 @t87 @t140 @t139 @t138 @t137)) % 0.45/0.64 (define @t142 () (or @t140 @t139 @t138 @t137)) % 0.45/0.64 (define @t143 () (or @t15 @t89 @t88 @t87 @t142)) % 0.45/0.64 (define @t144 () (@list @t2 @t131)) % 0.45/0.64 (define @t145 () (forall @t144 @t143)) % 0.45/0.64 (define @t146 () (@list @t131)) % 0.45/0.64 (define @t147 () (forall @t146 @t143)) % 0.45/0.64 (define @t148 () (forall @t146 @t142)) % 0.45/0.64 (define @t149 () (or @t15 @t89 @t88 @t87 @t148)) % 0.45/0.64 (define @t150 () (or @t134 @t133 @t44)) % 0.45/0.64 (define @t151 () (= @t49 (forall @t36 @t150))) % 0.45/0.64 (define @t152 () (not @t53)) % 0.45/0.64 (define @t153 () (not @t54)) % 0.45/0.64 (define @t154 () (not @t55)) % 0.45/0.64 (define @t155 () (or @t154 @t153 @t152 @t151)) % 0.45/0.64 (define @t156 () (forall @t10 @t155)) % 0.45/0.64 (define @t157 () (or @t15 @t89 @t88 @t87 @t156)) % 0.45/0.64 (define @t158 () (or @t154 @t153 @t152)) % 0.45/0.64 (define @t159 () (forall @t36 (or @t134 (not (tptp.m1_group_2 @t26 @t112)) (= @t43 (tptp.k1_funct_1 @t113 @t26))))) % 0.45/0.64 (define @t160 () (= (= @t113 @t113) @t159)) % 0.45/0.64 (define @t161 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t112))) % 0.45/0.64 (define @t162 () (tptp.k1_group_3 @t112)) % 0.45/0.64 (define @t163 () (tptp.m2_relset_1 @t113 @t162 @t161)) % 0.45/0.64 (define @t164 () (not @t163)) % 0.45/0.64 (define @t165 () (tptp.v1_funct_2 @t113 @t162 @t161)) % 0.45/0.64 (define @t166 () (not @t165)) % 0.45/0.64 (define @t167 () (tptp.v1_funct_1 @t113)) % 0.45/0.64 (define @t168 () (not @t167)) % 0.45/0.64 (define @t169 () (or @t127 @t126 @t124 @t122 @t168 @t166 @t164 @t160)) % 0.45/0.64 (define @t170 () (forall @t144 (or @t15 @t89 @t88 @t87 @t140 @t139 @t138 (= (= @t3 @t131) (forall @t36 (or @t134 @t133 (= @t43 @t132))))))) % 0.45/0.64 (define @t171 () (or @t127 @t126 @t124 @t122 @t168 @t166 @t164 @t159)) % 0.45/0.64 (define @t172 () (@list false)) % 0.45/0.64 (define @t173 () (and @t167 @t165 @t163)) % 0.45/0.64 (define @t174 () (or @t127 @t126 @t124 @t122 @t173)) % 0.45/0.64 (define @t175 () (@list true false false false false)) % 0.45/0.64 (define @t176 () (not @t173)) % 0.45/0.64 (define @t177 () (@list @t173)) % 0.45/0.64 (define @t178 () (tptp.u1_struct_0 @t111)) % 0.45/0.64 (define @t179 () (or @t120 @t118 (= @t178 @t114))) % 0.45/0.64 (define @t180 () (@list @t111)) % 0.45/0.64 (define @t181 () (= @t114 @t178)) % 0.45/0.64 (define @t182 () (or @t120 @t118 @t181)) % 0.45/0.64 (define @t183 () (tptp.v1_xboole_0 @t178)) % 0.45/0.64 (define @t184 () (not @t66)) % 0.45/0.64 (define @t185 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 0.45/0.64 (define @t186 () (and (not (tptp.v3_struct_0 @t185)) (tptp.v3_group_1 @t185) (tptp.l1_group_1 @t185))) % 0.45/0.64 (define @t187 () (not (tptp.m1_group_2 @t185 @t2))) % 0.45/0.64 (define @t188 () (or @t187 @t186)) % 0.45/0.64 (define @t189 () (or @t15 @t89 @t87 @t188)) % 0.45/0.64 (define @t190 () (forall (@list @t2 @t185) @t189)) % 0.45/0.64 (define @t191 () (@list @t185)) % 0.45/0.64 (define @t192 () (forall @t191 @t189)) % 0.45/0.64 (define @t193 () (forall @t191 @t188)) % 0.45/0.64 (define @t194 () (or @t15 @t89 @t87 @t193)) % 0.45/0.64 (define @t195 () (forall @t10 (or @t101 @t68))) % 0.45/0.64 (define @t196 () (or @t15 @t89 @t87 @t195)) % 0.45/0.64 (define @t197 () (or @t107 @t89 @t87)) % 0.45/0.64 (define @t198 () (tptp.l1_group_1 @t111)) % 0.45/0.64 (define @t199 () (tptp.v3_struct_0 @t111)) % 0.45/0.64 (define @t200 () (not @t199)) % 0.45/0.64 (define @t201 () (and @t200 (tptp.v3_group_1 @t111) @t198)) % 0.45/0.64 (define @t202 () (or @t127 @t126 @t122 @t118 @t201)) % 0.45/0.64 (define @t203 () (not @t201)) % 0.45/0.64 (define @t204 () (@list @t201)) % 0.45/0.64 (define @t205 () (tptp.l1_struct_0 @t111)) % 0.45/0.64 (define @t206 () (not @t198)) % 0.45/0.64 (define @t207 () (or @t206 @t205)) % 0.45/0.64 (define @t208 () (not @t183)) % 0.45/0.64 (define @t209 () (not @t205)) % 0.45/0.64 (define @t210 () (or @t199 @t209 @t208)) % 0.45/0.64 (assume @p1 @t21) % 0.45/0.64 (assume @p2 (forall @t19 (=> @t12 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t23 @t22)))))) % 0.45/0.64 (assume @p3 (forall @t25 (=> @t24 (not (tptp.r2_hidden @t1 @t2))))) % 0.45/0.64 (assume @p4 (forall @t32 (=> @t31 (=> (and @t28 @t30) @t29)))) % 0.45/0.64 (assume @p5 (forall @t32 (=> @t35 @t33))) % 0.45/0.64 (assume @p6 (forall @t25 (=> @t38 (forall @t36 (=> @t31 (=> @t29 (and @t28 @t30 @t27))))))) % 0.45/0.64 (assume @p7 (forall @t25 (=> @t42 (forall @t36 (=> @t31 (=> @t29 (and @t28 (not @t39) @t30 @t27))))))) % 0.45/0.64 (assume @p8 @t60) % 0.45/0.64 (assume @p9 (forall @t25 (=> @t63 (and (tptp.v1_group_1 @t61) (tptp.l1_group_1 @t61))))) % 0.45/0.64 (assume @p10 true) % 0.45/0.64 (assume @p11 @t65) % 0.45/0.64 (assume @p12 @t67) % 0.45/0.64 (assume @p13 @t72) % 0.45/0.64 (assume @p14 (forall @t32 (=> @t73 @t35))) % 0.45/0.64 (assume @p15 (forall @t19 (=> @t12 (and (tptp.v1_funct_1 @t22) (tptp.v1_funct_2 @t22 @t74 @t23) (tptp.m2_relset_1 @t22 @t74 @t23))))) % 0.45/0.64 (assume @p16 (exists @t19 @t12)) % 0.45/0.64 (assume @p17 (exists @t19 @t66)) % 0.45/0.64 (assume @p18 (forall @t19 (=> @t70 (exists @t10 @t6)))) % 0.45/0.64 (assume @p19 (forall @t25 (exists @t36 @t31))) % 0.45/0.64 (assume @p20 (forall @t19 (exists @t10 (tptp.m1_subset_1 @t1 @t2)))) % 0.45/0.64 (assume @p21 (forall @t25 (exists @t36 @t73))) % 0.45/0.64 (assume @p22 (forall @t19 (=> @t17 (not (tptp.v1_xboole_0 @t52))))) % 0.45/0.64 (assume @p23 @t77) % 0.45/0.64 (assume @p24 (forall @t19 (not (tptp.v1_xboole_0 @t78)))) % 0.45/0.64 (assume @p25 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.45/0.64 (assume @p26 (forall @t25 (=> @t42 (not (tptp.v1_xboole_0 @t34))))) % 0.45/0.64 (assume @p27 (forall @t25 (=> @t63 (forall (@list @t26 @t79) (=> (= @t61 (tptp.g1_group_1 @t26 @t79)) (and (= @t2 @t26) (= @t1 @t79))))))) % 0.45/0.64 (assume @p28 (forall @t25 (exists @t36 (and @t31 @t33 @t28 @t27)))) % 0.45/0.64 (assume @p29 (forall @t19 (=> @t41 (exists @t10 (and @t80 @t38))))) % 0.45/0.64 (assume @p30 (exists @t19 @t40)) % 0.45/0.64 (assume @p31 (forall @t25 (exists @t36 (and @t31 @t33 @t28)))) % 0.45/0.64 (assume @p32 (forall @t19 (exists @t10 (and @t80 @t37)))) % 0.45/0.64 (assume @p33 (exists @t19 @t41)) % 0.45/0.64 (assume @p34 (exists @t19 (and @t66 @t16))) % 0.45/0.64 (assume @p35 (forall @t19 (=> @t76 (exists @t10 (and (tptp.m1_subset_1 @t1 @t51) @t38))))) % 0.45/0.64 (assume @p36 (forall @t32 (= @t73 @t31))) % 0.45/0.64 (assume @p37 (forall @t25 (tptp.r1_tarski @t2 @t2))) % 0.45/0.64 (assume @p38 (forall @t25 (=> @t24 @t81))) % 0.45/0.64 (assume @p39 (forall @t25 (=> @t81 (or @t37 @t24)))) % 0.45/0.64 (assume @p40 (forall @t25 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.45/0.64 (assume @p41 (forall @t32 (=> (and @t24 @t82) (tptp.m1_subset_1 @t2 @t26)))) % 0.45/0.64 (assume @p42 (forall @t32 (not (and @t24 @t82 @t39)))) % 0.45/0.64 (assume @p43 (forall @t19 (=> @t40 (= @t2 tptp.k1_xboole_0)))) % 0.45/0.64 (assume @p44 (forall @t25 (not (and @t24 @t37)))) % 0.45/0.64 (assume @p45 (forall @t25 (not (and @t40 (not (= @t2 @t1)) @t37)))) % 0.45/0.64 (step @p46 :rule evaluate :args ((= false true))) % 0.45/0.64 (step @p47 :rule true_intro :premises (@p25)) % 0.45/0.64 (step @p48 :rule aci_norm :args ((= @t92 @t90))) % 0.45/0.64 (step @p49 :rule cong :premises (@p48) :args (@t94)) % 0.45/0.64 (step @p50 :rule quant-merge-prenex :args ((= (forall @t19 @t96) @t94))) % 0.45/0.64 (step @p51 :rule alpha_equiv :args (@t97 (@list @t83) @t98)) % 0.45/0.64 (step @p52 :rule refl :args (@t87)) % 0.45/0.64 (step @p53 :rule refl :args (@t88)) % 0.45/0.64 (step @p54 :rule refl :args (@t89)) % 0.45/0.64 (step @p55 :rule refl :args (@t15)) % 0.45/0.64 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51) :args (@t99)) % 0.45/0.64 (step @p57 :rule quant-miniscope-or :args ((= @t96 @t99))) % 0.45/0.64 (step @p58 :rule trans :premises (@p57 @p56)) % 0.45/0.64 (step @p59 :rule symm :premises (@p58)) % 0.45/0.64 (step @p60 :rule cong :premises (@p59) :args ((forall @t19 @t105))) % 0.45/0.64 (step @p61 :rule trans :premises (@p60 @p50)) % 0.45/0.64 (step @p62 :rule trans :premises (@p61 @p49)) % 0.45/0.64 (step @p63 :rule aci_norm :args ((= (or @t106 @t104) @t105))) % 0.45/0.64 (step @p64 :rule refl :args (@t104)) % 0.45/0.64 (step @p65 :rule bool-double-not-elim :args (@t15)) % 0.45/0.64 (step @p66 :rule nary_cong :premises (@p65 @p54 @p53 @p52) :args (@t108)) % 0.45/0.64 (step @p67 :rule aci_norm :args ((= (or @t107 (or @t89 (or @t88 @t87))) @t108))) % 0.45/0.64 (step @p68 :rule trans :premises (@p67 @p66)) % 0.45/0.64 (step @p69 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.45/0.64 (step @p70 :rule nary_cong :premises (@p54 @p69) :args ((or @t89 (not (and @t13 @t12))))) % 0.45/0.64 (step @p71 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12))) % 0.45/0.64 (step @p72 :rule trans :premises (@p71 @p70)) % 0.45/0.64 (step @p73 :rule refl :args (@t107)) % 0.45/0.64 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t107 (not (and @t14 @t13 @t12))))) % 0.45/0.64 (step @p75 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13 @t12))) % 0.45/0.64 (step @p76 :rule trans :premises (@p75 @p74)) % 0.45/0.64 (step @p77 :rule trans :premises (@p76 @p68)) % 0.45/0.64 (step @p78 :rule nary_cong :premises (@p77 @p64) :args ((or @t109 @t104))) % 0.45/0.64 (step @p79 :rule trans :premises (@p78 @p63)) % 0.45/0.64 (step @p80 :rule bool-impl-elim :args (@t17 @t104)) % 0.45/0.64 (step @p81 :rule trans :premises (@p80 @p79)) % 0.45/0.64 (step @p82 :rule cong :premises (@p81) :args ((forall @t19 (=> @t17 @t104)))) % 0.45/0.64 (step @p83 :rule trans :premises (@p82 @p62)) % 0.45/0.64 (step @p84 :rule aci_norm :args ((= (or (or @t102 @t101) @t100) @t103))) % 0.45/0.64 (step @p85 :rule refl :args (@t100)) % 0.45/0.64 (step @p86 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.45/0.64 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t8) @t100))) % 0.45/0.64 (step @p88 :rule trans :premises (@p87 @p84)) % 0.45/0.64 (step @p89 :rule bool-impl-elim :args (@t8 @t100)) % 0.45/0.64 (step @p90 :rule trans :premises (@p89 @p88)) % 0.45/0.64 (step @p91 :rule cong :premises (@p90) :args ((forall @t10 (=> @t8 @t100)))) % 0.45/0.64 (step @p92 :rule eq-symm :args (@t4 tptp.k1_xboole_0)) % 0.45/0.64 (step @p93 :rule cong :premises (@p92) :args (@t5)) % 0.45/0.64 (step @p94 :rule refl :args (@t8)) % 0.45/0.64 (step @p95 :rule cong :premises (@p94 @p93) :args (@t9)) % 0.45/0.64 (step @p96 :rule cong :premises (@p95) :args (@t11)) % 0.45/0.64 (step @p97 :rule trans :premises (@p96 @p91)) % 0.45/0.64 (step @p98 :rule refl :args (@t17)) % 0.45/0.64 (step @p99 :rule cong :premises (@p98 @p97) :args (@t18)) % 0.45/0.64 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 0.45/0.64 (step @p101 :rule trans :premises (@p100 @p83)) % 0.45/0.64 (step @p102 :rule cong :premises (@p101) :args (@t21)) % 0.45/0.64 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.45/0.64 (step @p104 :rule skolemize :premises (@p103)) % 0.45/0.64 (step @p105 :rule bool-double-not-elim :args (@t115)) % 0.45/0.64 (step @p106 :rule refl :args (@t128)) % 0.45/0.64 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t128 (not @t116)))) % 0.45/0.64 (step @p108 :rule cnf_or_neg :args (@t128 6)) % 0.45/0.64 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.45/0.64 (step @p110 :rule reordering :premises (@p109) :args ((or @t115 @t128))) % 0.45/0.64 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t115 @t129 @t130)) % 0.45/0.64 (step @p112 :rule symm :premises (@p111)) % 0.45/0.64 (step @p113 :rule eq-symm :args (@t132 @t43)) % 0.45/0.64 (step @p114 :rule refl :args (@t133)) % 0.45/0.64 (step @p115 :rule refl :args (@t134)) % 0.45/0.64 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t135)) % 0.45/0.64 (step @p117 :rule cong :premises (@p116) :args (@t136)) % 0.45/0.64 (step @p118 :rule eq-symm :args (@t131 @t3)) % 0.45/0.64 (step @p119 :rule cong :premises (@p118 @p117) :args (@t137)) % 0.45/0.65 (step @p120 :rule refl :args (@t138)) % 0.45/0.65 (step @p121 :rule refl :args (@t139)) % 0.45/0.65 (step @p122 :rule refl :args (@t140)) % 0.45/0.65 (step @p123 :rule refl :args (@t87)) % 0.45/0.65 (step @p124 :rule refl :args (@t88)) % 0.45/0.65 (step @p125 :rule refl :args (@t89)) % 0.45/0.65 (step @p126 :rule refl :args (@t15)) % 0.45/0.65 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119) :args (@t141)) % 0.45/0.65 (step @p128 :rule aci_norm :args ((= @t143 @t141))) % 0.45/0.65 (step @p129 :rule trans :premises (@p128 @p127)) % 0.45/0.65 (step @p130 :rule cong :premises (@p129) :args (@t145)) % 0.45/0.65 (step @p131 :rule quant-merge-prenex :args ((= (forall @t19 @t147) @t145))) % 0.45/0.65 (step @p132 :rule alpha_equiv :args (@t148 (@list @t131) @t98)) % 0.45/0.65 (step @p133 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p132) :args (@t149)) % 0.45/0.65 (step @p134 :rule quant-miniscope-or :args ((= @t147 @t149))) % 0.45/0.65 (step @p135 :rule trans :premises (@p134 @p133)) % 0.45/0.65 (step @p136 :rule symm :premises (@p135)) % 0.45/0.65 (step @p137 :rule cong :premises (@p136) :args ((forall @t19 @t157))) % 0.45/0.65 (step @p138 :rule trans :premises (@p137 @p131)) % 0.45/0.65 (step @p139 :rule trans :premises (@p138 @p130)) % 0.45/0.65 (step @p140 :rule aci_norm :args ((= (or @t106 @t156) @t157))) % 0.45/0.65 (step @p141 :rule refl :args (@t156)) % 0.45/0.65 (step @p142 :rule nary_cong :premises (@p77 @p141) :args ((or @t109 @t156))) % 0.45/0.65 (step @p143 :rule trans :premises (@p142 @p140)) % 0.45/0.65 (step @p144 :rule bool-impl-elim :args (@t17 @t156)) % 0.45/0.65 (step 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0.45/0.65 (step @p159 :rule bool-impl-elim :args (@t56 @t151)) % 0.45/0.65 (step @p160 :rule trans :premises (@p159 @p158)) % 0.45/0.65 (step @p161 :rule cong :premises (@p160) :args ((forall @t10 (=> @t56 @t151)))) % 0.45/0.65 (step @p162 :rule aci_norm :args ((= (or (or @t134 @t133) @t44) @t150))) % 0.45/0.65 (step @p163 :rule refl :args (@t44)) % 0.45/0.65 (step @p164 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.45/0.65 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t47) @t44))) % 0.45/0.65 (step @p166 :rule trans :premises (@p165 @p162)) % 0.45/0.65 (step @p167 :rule bool-impl-elim :args (@t47 @t44)) % 0.45/0.65 (step @p168 :rule trans :premises (@p167 @p166)) % 0.45/0.65 (step @p169 :rule cong :premises (@p168) :args (@t48)) % 0.45/0.65 (step @p170 :rule refl :args (@t49)) % 0.45/0.65 (step @p171 :rule cong :premises (@p170 @p169) :args (@t50)) % 0.45/0.65 (step @p172 :rule refl :args (@t56)) % 0.45/0.65 (step @p173 :rule cong :premises (@p172 @p171) :args (@t57)) % 0.45/0.65 (step @p174 :rule cong :premises (@p173) :args (@t58)) % 0.45/0.65 (step @p175 :rule trans :premises (@p174 @p161)) % 0.45/0.65 (step @p176 :rule cong :premises (@p98 @p175) :args (@t59)) % 0.45/0.65 (step @p177 :rule cong :premises (@p176) :args (@t60)) % 0.45/0.65 (step @p178 :rule trans :premises (@p177 @p147)) % 0.45/0.65 (step @p179 :rule eq_resolve :premises (@p8 @p178)) % 0.45/0.65 (step @p180 :rule bool-eq-true :args (@t159)) % 0.45/0.65 (step @p181 :rule eq-symm :args (true @t159)) % 0.45/0.65 (step @p182 :rule trans :premises (@p181 @p180)) % 0.45/0.65 (step @p183 :rule refl :args (@t159)) % 0.45/0.65 (step @p184 :rule eq-refl :args (@t113)) % 0.45/0.65 (step @p185 :rule cong :premises (@p184 @p183) :args (@t160)) % 0.45/0.65 (step @p186 :rule trans :premises (@p185 @p182)) % 0.45/0.65 (step @p187 :rule refl :args (@t164)) % 0.45/0.65 (step @p188 :rule refl :args (@t166)) % 0.45/0.65 (step @p189 :rule refl :args (@t168)) % 0.45/0.65 (step @p190 :rule refl :args (@t122)) % 0.45/0.65 (step @p191 :rule refl :args (@t124)) % 0.45/0.65 (step @p192 :rule refl :args (@t126)) % 0.45/0.65 (step @p193 :rule refl :args (@t127)) % 0.45/0.65 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186) :args (@t169)) % 0.45/0.65 (step @p195 :rule refl :args (@t170)) % 0.45/0.65 (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t170 @t169))) % 0.45/0.65 (assume-push @p349 @t170) % 0.45/0.65 (step @p198 :rule instantiate :premises (@p179) :args ((@list @t112 @t113))) % 0.45/0.65 (step-pop @p350 :rule scope :premises (@p198)) % 0.45/0.65 (step @p199 :rule process_scope :premises (@p350) :args (@t169)) % 0.45/0.65 (step @p201 :rule eq_resolve :premises (@p199 @p196)) % 0.45/0.65 (step @p202 :rule implies_elim :premises (@p201)) % 0.45/0.65 (step @p203 :rule chain_m_resolution :premises (@p202 @p179) :args (@t171 @t172 (@list @t170))) % 0.45/0.65 (step @p204 :rule aci_norm :args ((= (or @t106 @t64) (or @t15 @t89 @t88 @t87 @t64)))) % 0.45/0.65 (step @p205 :rule refl :args (@t64)) % 0.45/0.65 (step @p206 :rule nary_cong :premises (@p77 @p205) :args ((or @t109 @t64))) % 0.45/0.65 (step @p207 :rule trans :premises (@p206 @p204)) % 0.45/0.65 (step @p208 :rule bool-impl-elim :args (@t17 @t64)) % 0.45/0.65 (step @p209 :rule trans :premises (@p208 @p207)) % 0.45/0.65 (step @p210 :rule cong :premises (@p209) :args (@t65)) % 0.45/0.65 (step @p211 :rule eq_resolve :premises (@p11 @p210)) % 0.45/0.65 (step @p212 :rule instantiate :premises (@p211) :args ((@list @t112))) % 0.45/0.65 (step @p213 :rule bool-double-not-elim :args (@t121)) % 0.45/0.65 (step @p214 :rule nary_cong :premises (@p106 @p213) :args ((or @t128 (not @t122)))) % 0.45/0.65 (step @p215 :rule cnf_or_neg :args (@t128 3)) % 0.45/0.65 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.45/0.65 (step @p217 :rule reordering :premises (@p216) :args ((or @t121 @t128))) % 0.45/0.65 (step @p218 :rule chain_m_resolution :premises (@p217 @p104) :args (@t121 @t129 @t130)) % 0.45/0.65 (step @p219 :rule bool-double-not-elim :args (@t123)) % 0.45/0.65 (step @p220 :rule nary_cong :premises (@p106 @p219) :args ((or @t128 (not @t124)))) % 0.45/0.65 (step @p221 :rule cnf_or_neg :args (@t128 2)) % 0.45/0.65 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.45/0.65 (step @p223 :rule reordering :premises (@p222) :args ((or @t123 @t128))) % 0.45/0.65 (step @p224 :rule chain_m_resolution :premises (@p223 @p104) :args (@t123 @t129 @t130)) % 0.45/0.65 (step @p225 :rule bool-double-not-elim :args (@t125)) % 0.45/0.65 (step @p226 :rule nary_cong :premises (@p106 @p225) :args ((or @t128 (not @t126)))) % 0.45/0.65 (step @p227 :rule cnf_or_neg :args (@t128 1)) % 0.45/0.65 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.45/0.65 (step @p229 :rule reordering :premises (@p228) :args ((or @t125 @t128))) % 0.45/0.65 (step @p230 :rule chain_m_resolution :premises (@p229 @p104) :args (@t125 @t129 @t130)) % 0.45/0.65 (step @p231 :rule cnf_or_neg :args (@t128 0)) % 0.45/0.65 (step @p232 :rule chain_m_resolution :premises (@p231 @p104) :args ((not @t127) @t129 @t130)) % 0.45/0.65 (step @p233 :rule cnf_or_pos :args (@t174)) % 0.45/0.65 (step @p234 :rule reordering :premises (@p233) :args ((or @t127 @t126 @t124 @t122 @t173 (not @t174)))) % 0.45/0.65 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p230 @p224 @p218 @p212) :args (@t173 @t175 (@list @t127 @t125 @t123 @t121 @t174))) % 0.45/0.65 (step @p236 :rule cnf_and_pos :args (@t173 2)) % 0.45/0.65 (step @p237 :rule reordering :premises (@p236) :args ((or @t163 @t176))) % 0.45/0.65 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t163 @t172 @t177)) % 0.45/0.65 (step @p239 :rule cnf_and_pos :args (@t173 1)) % 0.45/0.65 (step @p240 :rule reordering :premises (@p239) :args ((or @t165 @t176))) % 0.45/0.65 (step @p241 :rule chain_m_resolution :premises (@p240 @p235) :args (@t165 @t172 @t177)) % 0.45/0.65 (step @p242 :rule cnf_and_pos :args (@t173 0)) % 0.45/0.65 (step @p243 :rule reordering :premises (@p242) :args ((or @t167 @t176))) % 0.45/0.65 (step @p244 :rule chain_m_resolution :premises (@p243 @p235) :args (@t167 @t172 @t177)) % 0.45/0.65 (step @p245 :rule cnf_or_pos :args (@t171)) % 0.45/0.65 (step @p246 :rule reordering :premises (@p245) :args ((or @t127 @t126 @t124 @t122 @t168 @t166 @t164 @t159 (not @t171)))) % 0.45/0.65 (step @p247 :rule chain_m_resolution :premises (@p246 @p232 @p230 @p224 @p218 @p244 @p241 @p238 @p203) :args (@t159 (@list true false false false false false false false) (@list @t127 @t125 @t123 @t121 @t167 @t165 @t163 @t171))) % 0.45/0.65 (step @p248 :rule eq-symm :args (@t178 @t114)) % 0.45/0.65 (step @p249 :rule refl :args (@t118)) % 0.45/0.65 (step @p250 :rule refl :args (@t120)) % 0.45/0.65 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248) :args (@t179)) % 0.45/0.65 (step @p252 :rule cong :premises (@p183 @p251) :args ((=> @t159 @t179))) % 0.45/0.65 (assume-push @p351 @t159) % 0.45/0.65 (step @p254 :rule instantiate :premises (@p247) :args (@t180)) % 0.45/0.65 (step-pop @p352 :rule scope :premises (@p254)) % 0.45/0.65 (step @p255 :rule process_scope :premises (@p352) :args (@t179)) % 0.45/0.65 (step @p257 :rule eq_resolve :premises (@p255 @p252)) % 0.45/0.65 (step @p258 :rule implies_elim :premises (@p257)) % 0.45/0.65 (step @p259 :rule chain_m_resolution :premises (@p258 @p247) :args (@t182 @t172 (@list @t159))) % 0.45/0.65 (step @p260 :rule bool-double-not-elim :args (@t117)) % 0.45/0.65 (step @p261 :rule nary_cong :premises (@p106 @p260) :args ((or @t128 (not @t118)))) % 0.45/0.65 (step @p262 :rule cnf_or_neg :args (@t128 5)) % 0.45/0.65 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.45/0.65 (step @p264 :rule reordering :premises (@p263) :args ((or @t117 @t128))) % 0.45/0.65 (step @p265 :rule chain_m_resolution :premises (@p264 @p104) :args (@t117 @t129 @t130)) % 0.45/0.65 (step @p266 :rule bool-double-not-elim :args (@t119)) % 0.45/0.65 (step @p267 :rule nary_cong :premises (@p106 @p266) :args ((or @t128 (not @t120)))) % 0.45/0.65 (step @p268 :rule cnf_or_neg :args (@t128 4)) % 0.45/0.65 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 0.45/0.65 (step @p270 :rule reordering :premises (@p269) :args ((or @t119 @t128))) % 0.45/0.65 (step @p271 :rule chain_m_resolution :premises (@p270 @p104) :args (@t119 @t129 @t130)) % 0.45/0.65 (step @p272 :rule cnf_or_pos :args (@t182)) % 0.45/0.65 (step @p273 :rule reordering :premises (@p272) :args ((or @t120 @t118 @t181 (not @t182)))) % 0.45/0.65 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p265 @p259) :args (@t181 (@list false false false) (@list @t119 @t117 @t182))) % 0.45/0.65 (step @p275 :rule symm :premises (@p274)) % 0.45/0.65 (step @p276 :rule trans :premises (@p275 @p112)) % 0.45/0.65 (step @p277 :rule cong :premises (@p276) :args (@t183)) % 0.45/0.65 (step @p278 :rule aci_norm :args ((= (or (or @t15 @t184) @t75) (or @t15 @t184 @t75)))) % 0.45/0.65 (step @p279 :rule refl :args (@t75)) % 0.45/0.65 (step @p280 :rule refl :args (@t184)) % 0.45/0.65 (step @p281 :rule nary_cong :premises (@p65 @p280) :args ((or @t107 @t184))) % 0.45/0.65 (step @p282 :rule bool-and-de-morgan :args (@t16 @t66 true)) % 0.45/0.65 (step @p283 :rule trans :premises (@p282 @p281)) % 0.45/0.65 (step @p284 :rule nary_cong :premises (@p283 @p279) :args ((or (not @t76) @t75))) % 0.45/0.65 (step @p285 :rule trans :premises (@p284 @p278)) % 0.45/0.65 (step @p286 :rule bool-impl-elim :args (@t76 @t75)) % 0.45/0.65 (step @p287 :rule trans :premises (@p286 @p285)) % 0.45/0.65 (step @p288 :rule cong :premises (@p287) :args (@t77)) % 0.45/0.65 (step @p289 :rule eq_resolve :premises (@p23 @p288)) % 0.45/0.65 (step @p290 :rule instantiate :premises (@p289) :args (@t180)) % 0.45/0.65 (step @p291 :rule bool-impl-elim :args (@t12 @t66)) % 0.45/0.65 (step @p292 :rule cong :premises (@p291) :args (@t67)) % 0.45/0.65 (step @p293 :rule eq_resolve :premises (@p12 @p292)) % 0.45/0.65 (step @p294 :rule instantiate :premises (@p293) :args (@t180)) % 0.45/0.65 (step @p295 :rule aci_norm :args ((= @t189 (or @t15 @t89 @t87 @t187 @t186)))) % 0.45/0.65 (step @p296 :rule cong :premises (@p295) :args (@t190)) % 0.45/0.65 (step @p297 :rule quant-merge-prenex :args ((= (forall @t19 @t192) @t190))) % 0.45/0.65 (step @p298 :rule alpha_equiv :args (@t193 (@list @t185) @t98)) % 0.45/0.65 (step @p299 :rule nary_cong :premises (@p55 @p54 @p52 @p298) :args (@t194)) % 0.45/0.65 (step @p300 :rule quant-miniscope-or :args ((= @t192 @t194))) % 0.45/0.65 (step @p301 :rule trans :premises (@p300 @p299)) % 0.45/0.65 (step @p302 :rule symm :premises (@p301)) % 0.45/0.65 (step @p303 :rule cong :premises (@p302) :args ((forall @t19 @t196))) % 0.45/0.65 (step @p304 :rule trans :premises (@p303 @p297)) % 0.45/0.65 (step @p305 :rule trans :premises (@p304 @p296)) % 0.45/0.65 (step @p306 :rule aci_norm :args ((= (or (or @t15 @t89 @t87) @t195) @t196))) % 0.45/0.65 (step @p307 :rule refl :args (@t195)) % 0.45/0.65 (step @p308 :rule nary_cong :premises (@p65 @p54 @p52) :args (@t197)) % 0.45/0.65 (step @p309 :rule aci_norm :args ((= (or @t107 (or @t89 @t87)) @t197))) % 0.45/0.65 (step @p310 :rule trans :premises (@p309 @p308)) % 0.45/0.65 (step @p311 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 0.45/0.65 (step @p312 :rule nary_cong :premises (@p73 @p311) :args ((or @t107 (not (and @t14 @t12))))) % 0.45/0.65 (step @p313 :rule bool-and-de-morgan :args (@t16 @t14 (and @t12))) % 0.45/0.65 (step @p314 :rule trans :premises (@p313 @p312)) % 0.45/0.65 (step @p315 :rule trans :premises (@p314 @p310)) % 0.45/0.65 (step @p316 :rule nary_cong :premises (@p315 @p307) :args ((or (not @t70) @t195))) % 0.45/0.65 (step @p317 :rule trans :premises (@p316 @p306)) % 0.45/0.65 (step @p318 :rule bool-impl-elim :args (@t70 @t195)) % 0.45/0.65 (step @p319 :rule trans :premises (@p318 @p317)) % 0.45/0.65 (step @p320 :rule cong :premises (@p319) :args ((forall @t19 (=> @t70 @t195)))) % 0.45/0.65 (step @p321 :rule trans :premises (@p320 @p305)) % 0.45/0.65 (step @p322 :rule bool-impl-elim :args (@t6 @t68)) % 0.45/0.65 (step @p323 :rule cong :premises (@p322) :args (@t69)) % 0.45/0.65 (step @p324 :rule refl :args (@t70)) % 0.45/0.65 (step @p325 :rule cong :premises (@p324 @p323) :args (@t71)) % 0.45/0.65 (step @p326 :rule cong :premises (@p325) :args (@t72)) % 0.45/0.65 (step @p327 :rule trans :premises (@p326 @p321)) % 0.45/0.65 (step @p328 :rule eq_resolve :premises (@p13 @p327)) % 0.45/0.65 (step @p329 :rule instantiate :premises (@p328) :args ((@list @t112 @t111))) % 0.45/0.65 (step @p330 :rule cnf_or_pos :args (@t202)) % 0.45/0.65 (step @p331 :rule reordering :premises (@p330) :args ((or @t127 @t126 @t122 @t118 @t201 (not @t202)))) % 0.45/0.65 (step @p332 :rule chain_m_resolution :premises (@p331 @p232 @p230 @p218 @p265 @p329) :args (@t201 @t175 (@list @t127 @t125 @t121 @t117 @t202))) % 0.45/0.65 (step @p333 :rule cnf_and_pos :args (@t201 2)) % 0.45/0.65 (step @p334 :rule reordering :premises (@p333) :args ((or @t198 @t203))) % 0.45/0.65 (step @p335 :rule chain_m_resolution :premises (@p334 @p332) :args (@t198 @t172 @t204)) % 0.45/0.65 (step @p336 :rule cnf_or_pos :args (@t207)) % 0.45/0.65 (step @p337 :rule reordering :premises (@p336) :args ((or @t206 @t205 (not @t207)))) % 0.45/0.65 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p294) :args (@t205 (@list false false) (@list @t198 @t207))) % 0.45/0.65 (step @p339 :rule cnf_and_pos :args (@t201 0)) % 0.45/0.65 (step @p340 :rule reordering :premises (@p339) :args ((or @t200 @t203))) % 0.45/0.65 (step @p341 :rule chain_m_resolution :premises (@p340 @p332) :args (@t200 @t172 @t204)) % 0.45/0.65 (step @p342 :rule cnf_or_pos :args (@t210)) % 0.45/0.65 (step @p343 :rule reordering :premises (@p342) :args ((or @t199 @t209 @t208 (not @t210)))) % 0.45/0.65 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p338 @p290) :args (@t208 (@list true false false) (@list @t199 @t205 @t210))) % 0.45/0.65 (step @p345 :rule false_intro :premises (@p344)) % 0.45/0.65 (step @p346 :rule symm :premises (@p345)) % 0.45/0.65 (step @p347 :rule trans :premises (@p346 @p277 @p47)) % 0.45/0.65 (step @p348 false :rule eq_resolve :premises (@p347 @p46)) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------