%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP641+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 : n027.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 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP641+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 % 0.16/0.34 % Computer : n027.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 01:33:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.44/0.65 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.44/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "A" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.k1_latsubgr @t2)) % 0.44/0.65 (define @t4 () (tptp.k2_group_1 @t2)) % 0.44/0.65 (define @t5 () (tptp.r2_hidden @t4 (tptp.k1_funct_1 @t3 @t1))) % 0.44/0.65 (define @t6 () (tptp.m1_group_2 @t1 @t2)) % 0.44/0.65 (define @t7 () (tptp.v1_group_1 @t1)) % 0.44/0.65 (define @t8 () (and @t7 @t6)) % 0.44/0.65 (define @t9 () (@list @t1)) % 0.44/0.65 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.44/0.65 (define @t11 () (tptp.l1_group_1 @t2)) % 0.44/0.65 (define @t12 () (tptp.v4_group_1 @t2)) % 0.44/0.65 (define @t13 () (tptp.v3_group_1 @t2)) % 0.44/0.65 (define @t14 () (tptp.v3_struct_0 @t2)) % 0.44/0.65 (define @t15 () (not @t14)) % 0.44/0.65 (define @t16 () (and @t15 @t13 @t12 @t11)) % 0.44/0.65 (define @t17 () (=> @t16 @t10)) % 0.44/0.65 (define @t18 () (@list @t2)) % 0.44/0.65 (define @t19 () (forall @t18 @t17)) % 0.44/0.65 (define @t20 () (not @t19)) % 0.44/0.65 (define @t21 () (tptp.u1_group_1 @t2)) % 0.44/0.65 (define @t22 () (tptp.u1_struct_0 @t2)) % 0.44/0.65 (define @t23 () (tptp.r2_hidden @t2 @t1)) % 0.44/0.65 (define @t24 () (@list @t2 @t1)) % 0.44/0.65 (define @t25 () (@var "C" $$unsorted)) % 0.44/0.65 (define @t26 () (tptp.v1_funct_2 @t25 @t2 @t1)) % 0.44/0.65 (define @t27 () (tptp.v1_funct_1 @t25)) % 0.44/0.65 (define @t28 () (and @t27 @t26)) % 0.44/0.65 (define @t29 () (tptp.v1_partfun1 @t25 @t2 @t1)) % 0.44/0.65 (define @t30 () (tptp.m1_relset_1 @t25 @t2 @t1)) % 0.44/0.65 (define @t31 () (@list @t2 @t1 @t25)) % 0.44/0.65 (define @t32 () (tptp.v1_relat_1 @t25)) % 0.44/0.65 (define @t33 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.44/0.65 (define @t34 () (tptp.m1_subset_1 @t25 (tptp.k1_zfmisc_1 @t33))) % 0.44/0.65 (define @t35 () (@list @t25)) % 0.44/0.65 (define @t36 () (tptp.v1_xboole_0 @t1)) % 0.44/0.65 (define @t37 () (not @t36)) % 0.44/0.65 (define @t38 () (tptp.v1_xboole_0 @t25)) % 0.44/0.65 (define @t39 () (tptp.v1_xboole_0 @t2)) % 0.44/0.65 (define @t40 () (not @t39)) % 0.44/0.65 (define @t41 () (and @t40 @t37)) % 0.44/0.65 (define @t42 () (tptp.u1_struct_0 @t25)) % 0.44/0.65 (define @t43 () (= (tptp.k1_funct_1 @t1 @t25) @t42)) % 0.44/0.65 (define @t44 () (tptp.m1_group_2 @t25 @t2)) % 0.44/0.65 (define @t45 () (tptp.v1_group_1 @t25)) % 0.44/0.65 (define @t46 () (and @t45 @t44)) % 0.44/0.65 (define @t47 () (forall @t35 (=> @t46 @t43))) % 0.44/0.65 (define @t48 () (= @t1 @t3)) % 0.44/0.65 (define @t49 () (= @t48 @t47)) % 0.44/0.65 (define @t50 () (tptp.k1_zfmisc_1 @t22)) % 0.44/0.65 (define @t51 () (tptp.k1_group_3 @t2)) % 0.44/0.65 (define @t52 () (tptp.m2_relset_1 @t1 @t51 @t50)) % 0.44/0.65 (define @t53 () (tptp.v1_funct_2 @t1 @t51 @t50)) % 0.44/0.65 (define @t54 () (tptp.v1_funct_1 @t1)) % 0.44/0.65 (define @t55 () (and @t54 @t53 @t52)) % 0.44/0.65 (define @t56 () (=> @t55 @t49)) % 0.44/0.65 (define @t57 () (forall @t9 @t56)) % 0.44/0.65 (define @t58 () (=> @t16 @t57)) % 0.44/0.65 (define @t59 () (forall @t18 @t58)) % 0.44/0.65 (define @t60 () (tptp.g1_group_1 @t2 @t1)) % 0.44/0.65 (define @t61 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.44/0.65 (define @t62 () (and @t54 (tptp.v1_funct_2 @t1 @t61 @t2) (tptp.m1_relset_1 @t1 @t61 @t2))) % 0.44/0.65 (define @t63 () (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t51 @t50) (tptp.m2_relset_1 @t3 @t51 @t50))) % 0.44/0.65 (define @t64 () (forall @t18 (=> @t16 @t63))) % 0.44/0.65 (define @t65 () (tptp.m1_subset_1 @t4 @t22)) % 0.44/0.65 (define @t66 () (and @t15 @t11)) % 0.44/0.65 (define @t67 () (forall @t18 (=> @t66 @t65))) % 0.44/0.65 (define @t68 () (tptp.l1_struct_0 @t2)) % 0.44/0.65 (define @t69 () (forall @t18 (=> @t11 @t68))) % 0.44/0.65 (define @t70 () (and (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.l1_group_1 @t1))) % 0.44/0.65 (define @t71 () (forall @t9 (=> @t6 @t70))) % 0.44/0.65 (define @t72 () (and @t15 @t13 @t11)) % 0.44/0.65 (define @t73 () (=> @t72 @t71)) % 0.44/0.65 (define @t74 () (forall @t18 @t73)) % 0.44/0.65 (define @t75 () (tptp.m2_relset_1 @t25 @t2 @t1)) % 0.44/0.65 (define @t76 () (tptp.k2_zfmisc_1 @t22 @t22)) % 0.44/0.65 (define @t77 () (not (tptp.v1_xboole_0 @t22))) % 0.44/0.65 (define @t78 () (and @t15 @t68)) % 0.44/0.65 (define @t79 () (forall @t18 (=> @t78 @t77))) % 0.44/0.65 (define @t80 () (tptp.k1_zfmisc_1 @t2)) % 0.44/0.65 (define @t81 () (@var "D" $$unsorted)) % 0.44/0.65 (define @t82 () (tptp.m1_subset_1 @t1 @t80)) % 0.44/0.65 (define @t83 () (tptp.m1_subset_1 @t2 @t1)) % 0.44/0.65 (define @t84 () (or @t36 @t23)) % 0.44/0.65 (define @t85 () (forall @t24 (=> @t83 @t84))) % 0.44/0.65 (define @t86 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t25))) % 0.44/0.65 (define @t87 () (tptp.k2_group_1 @t1)) % 0.44/0.65 (define @t88 () (=> @t6 (= @t87 @t4))) % 0.44/0.65 (define @t89 () (forall @t9 @t88)) % 0.44/0.65 (define @t90 () (=> @t16 @t89)) % 0.44/0.65 (define @t91 () (forall @t18 @t90)) % 0.44/0.65 (define @t92 () (@var "BOUND_VARIABLE_7695" $$unsorted)) % 0.44/0.65 (define @t93 () (tptp.r2_hidden @t4 (tptp.k1_funct_1 @t3 @t92))) % 0.44/0.65 (define @t94 () (not (tptp.m1_group_2 @t92 @t2))) % 0.44/0.65 (define @t95 () (not (tptp.v1_group_1 @t92))) % 0.44/0.65 (define @t96 () (not @t11)) % 0.44/0.65 (define @t97 () (not @t12)) % 0.44/0.65 (define @t98 () (not @t13)) % 0.44/0.65 (define @t99 () (or @t14 @t98 @t97 @t96 @t95 @t94 @t93)) % 0.44/0.65 (define @t100 () (or @t95 @t94 @t93)) % 0.44/0.65 (define @t101 () (or @t14 @t98 @t97 @t96 @t100)) % 0.44/0.65 (define @t102 () (@list @t2 @t92)) % 0.44/0.65 (define @t103 () (forall @t102 @t101)) % 0.44/0.65 (define @t104 () (@list @t92)) % 0.44/0.65 (define @t105 () (forall @t104 @t101)) % 0.44/0.65 (define @t106 () (forall @t104 @t100)) % 0.44/0.65 (define @t107 () (@list @t1)) % 0.44/0.65 (define @t108 () (or @t14 @t98 @t97 @t96 @t106)) % 0.44/0.65 (define @t109 () (not @t6)) % 0.44/0.65 (define @t110 () (not @t7)) % 0.44/0.65 (define @t111 () (or @t110 @t109 @t5)) % 0.44/0.65 (define @t112 () (forall @t9 @t111)) % 0.44/0.65 (define @t113 () (or @t14 @t98 @t97 @t96 @t112)) % 0.44/0.65 (define @t114 () (or @t14 @t98 @t97 @t96)) % 0.44/0.65 (define @t115 () (not @t15)) % 0.44/0.65 (define @t116 () (or @t115 @t98 @t97 @t96)) % 0.44/0.65 (define @t117 () (not @t16)) % 0.44/0.65 (define @t118 () (forall @t102 @t99)) % 0.44/0.65 (define @t119 () (@quantifiers_skolemize @t118 1)) % 0.44/0.65 (define @t120 () (@quantifiers_skolemize @t118 0)) % 0.44/0.65 (define @t121 () (tptp.k1_latsubgr @t120)) % 0.44/0.65 (define @t122 () (tptp.k1_funct_1 @t121 @t119)) % 0.44/0.65 (define @t123 () (tptp.k2_group_1 @t120)) % 0.44/0.65 (define @t124 () (tptp.r2_hidden @t123 @t122)) % 0.44/0.65 (define @t125 () (tptp.m1_group_2 @t119 @t120)) % 0.44/0.65 (define @t126 () (not @t125)) % 0.44/0.65 (define @t127 () (tptp.v1_group_1 @t119)) % 0.44/0.65 (define @t128 () (not @t127)) % 0.44/0.65 (define @t129 () (tptp.l1_group_1 @t120)) % 0.44/0.65 (define @t130 () (not @t129)) % 0.44/0.65 (define @t131 () (tptp.v4_group_1 @t120)) % 0.44/0.65 (define @t132 () (not @t131)) % 0.44/0.65 (define @t133 () (tptp.v3_group_1 @t120)) % 0.44/0.65 (define @t134 () (not @t133)) % 0.44/0.65 (define @t135 () (tptp.v3_struct_0 @t120)) % 0.44/0.65 (define @t136 () (or @t135 @t134 @t132 @t130 @t128 @t126 @t124)) % 0.44/0.65 (define @t137 () (@list true)) % 0.44/0.65 (define @t138 () (@list @t136)) % 0.44/0.65 (define @t139 () (@var "BOUND_VARIABLE_7808" $$unsorted)) % 0.44/0.65 (define @t140 () (tptp.k1_funct_1 @t139 @t25)) % 0.44/0.65 (define @t141 () (not @t44)) % 0.44/0.65 (define @t142 () (not @t45)) % 0.44/0.65 (define @t143 () (or @t142 @t141 (= @t140 @t42))) % 0.44/0.65 (define @t144 () (forall @t35 @t143)) % 0.44/0.65 (define @t145 () (= (= @t139 @t3) @t144)) % 0.44/0.65 (define @t146 () (not (tptp.m2_relset_1 @t139 @t51 @t50))) % 0.44/0.65 (define @t147 () (not (tptp.v1_funct_2 @t139 @t51 @t50))) % 0.44/0.65 (define @t148 () (not (tptp.v1_funct_1 @t139))) % 0.44/0.65 (define @t149 () (or @t14 @t98 @t97 @t96 @t148 @t147 @t146 @t145)) % 0.44/0.65 (define @t150 () (or @t148 @t147 @t146 @t145)) % 0.44/0.65 (define @t151 () (or @t14 @t98 @t97 @t96 @t150)) % 0.44/0.65 (define @t152 () (@list @t2 @t139)) % 0.44/0.65 (define @t153 () (forall @t152 @t151)) % 0.44/0.65 (define @t154 () (@list @t139)) % 0.44/0.65 (define @t155 () (forall @t154 @t151)) % 0.44/0.65 (define @t156 () (forall @t154 @t150)) % 0.44/0.65 (define @t157 () (or @t14 @t98 @t97 @t96 @t156)) % 0.44/0.65 (define @t158 () (or @t142 @t141 @t43)) % 0.44/0.65 (define @t159 () (= @t48 (forall @t35 @t158))) % 0.44/0.65 (define @t160 () (not @t52)) % 0.44/0.65 (define @t161 () (not @t53)) % 0.44/0.65 (define @t162 () (not @t54)) % 0.44/0.65 (define @t163 () (or @t162 @t161 @t160 @t159)) % 0.44/0.65 (define @t164 () (forall @t9 @t163)) % 0.44/0.65 (define @t165 () (or @t14 @t98 @t97 @t96 @t164)) % 0.44/0.65 (define @t166 () (or @t162 @t161 @t160)) % 0.44/0.65 (define @t167 () (forall @t35 (or @t142 (not (tptp.m1_group_2 @t25 @t120)) (= @t42 (tptp.k1_funct_1 @t121 @t25))))) % 0.44/0.65 (define @t168 () (= (= @t121 @t121) @t167)) % 0.44/0.65 (define @t169 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t120))) % 0.44/0.65 (define @t170 () (tptp.k1_group_3 @t120)) % 0.44/0.65 (define @t171 () (tptp.m2_relset_1 @t121 @t170 @t169)) % 0.44/0.65 (define @t172 () (not @t171)) % 0.44/0.65 (define @t173 () (tptp.v1_funct_2 @t121 @t170 @t169)) % 0.44/0.65 (define @t174 () (not @t173)) % 0.44/0.65 (define @t175 () (tptp.v1_funct_1 @t121)) % 0.44/0.65 (define @t176 () (not @t175)) % 0.44/0.65 (define @t177 () (or @t135 @t134 @t132 @t130 @t176 @t174 @t172 @t168)) % 0.44/0.65 (define @t178 () (forall @t152 (or @t14 @t98 @t97 @t96 @t148 @t147 @t146 (= (= @t3 @t139) (forall @t35 (or @t142 @t141 (= @t42 @t140))))))) % 0.44/0.65 (define @t179 () (or @t135 @t134 @t132 @t130 @t176 @t174 @t172 @t167)) % 0.44/0.65 (define @t180 () (@list false)) % 0.44/0.65 (define @t181 () (and @t175 @t173 @t171)) % 0.44/0.65 (define @t182 () (or @t135 @t134 @t132 @t130 @t181)) % 0.44/0.65 (define @t183 () (@list true false false false false)) % 0.44/0.65 (define @t184 () (not @t181)) % 0.44/0.65 (define @t185 () (@list @t181)) % 0.44/0.65 (define @t186 () (tptp.u1_struct_0 @t119)) % 0.44/0.65 (define @t187 () (or @t128 @t126 (= @t186 @t122))) % 0.44/0.65 (define @t188 () (@list @t119)) % 0.44/0.65 (define @t189 () (= @t122 @t186)) % 0.44/0.65 (define @t190 () (or @t128 @t126 @t189)) % 0.44/0.65 (define @t191 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 0.44/0.65 (define @t192 () (= @t4 (tptp.k2_group_1 @t191))) % 0.44/0.65 (define @t193 () (not (tptp.m1_group_2 @t191 @t2))) % 0.44/0.65 (define @t194 () (or @t193 @t192)) % 0.44/0.65 (define @t195 () (or @t14 @t98 @t97 @t96 @t194)) % 0.44/0.65 (define @t196 () (forall (@list @t2 @t191) @t195)) % 0.44/0.65 (define @t197 () (@list @t191)) % 0.44/0.65 (define @t198 () (forall @t197 @t195)) % 0.44/0.65 (define @t199 () (forall @t197 @t194)) % 0.44/0.65 (define @t200 () (or @t14 @t98 @t97 @t96 @t199)) % 0.44/0.65 (define @t201 () (= @t4 @t87)) % 0.44/0.65 (define @t202 () (forall @t9 (or @t109 @t201))) % 0.44/0.65 (define @t203 () (or @t14 @t98 @t97 @t96 @t202)) % 0.44/0.65 (define @t204 () (@list @t120 @t119)) % 0.44/0.65 (define @t205 () (tptp.k2_group_1 @t119)) % 0.44/0.65 (define @t206 () (= @t123 @t205)) % 0.44/0.65 (define @t207 () (or @t135 @t134 @t132 @t130 @t126 @t206)) % 0.44/0.65 (define @t208 () (tptp.r2_hidden @t205 @t186)) % 0.44/0.65 (define @t209 () (not @t83)) % 0.44/0.65 (define @t210 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 0.44/0.65 (define @t211 () (and (not (tptp.v3_struct_0 @t210)) (tptp.v3_group_1 @t210) (tptp.l1_group_1 @t210))) % 0.44/0.65 (define @t212 () (not (tptp.m1_group_2 @t210 @t2))) % 0.44/0.65 (define @t213 () (or @t212 @t211)) % 0.44/0.65 (define @t214 () (or @t14 @t98 @t96 @t213)) % 0.44/0.65 (define @t215 () (forall (@list @t2 @t210) @t214)) % 0.44/0.65 (define @t216 () (@list @t210)) % 0.44/0.65 (define @t217 () (forall @t216 @t214)) % 0.44/0.65 (define @t218 () (forall @t216 @t213)) % 0.44/0.65 (define @t219 () (or @t14 @t98 @t96 @t218)) % 0.44/0.65 (define @t220 () (forall @t9 (or @t109 @t70))) % 0.44/0.65 (define @t221 () (or @t14 @t98 @t96 @t220)) % 0.44/0.65 (define @t222 () (or @t115 @t98 @t96)) % 0.44/0.65 (define @t223 () (tptp.l1_group_1 @t119)) % 0.44/0.65 (define @t224 () (tptp.v3_struct_0 @t119)) % 0.44/0.65 (define @t225 () (not @t224)) % 0.44/0.65 (define @t226 () (and @t225 (tptp.v3_group_1 @t119) @t223)) % 0.44/0.65 (define @t227 () (or @t135 @t134 @t130 @t126 @t226)) % 0.44/0.65 (define @t228 () (not @t226)) % 0.44/0.65 (define @t229 () (@list @t226)) % 0.44/0.65 (define @t230 () (tptp.m1_subset_1 @t205 @t186)) % 0.44/0.65 (define @t231 () (not @t223)) % 0.44/0.65 (define @t232 () (or @t224 @t231 @t230)) % 0.44/0.65 (define @t233 () (not @t68)) % 0.44/0.65 (define @t234 () (tptp.l1_struct_0 @t119)) % 0.44/0.65 (define @t235 () (or @t231 @t234)) % 0.44/0.65 (define @t236 () (tptp.v1_xboole_0 @t186)) % 0.44/0.65 (define @t237 () (not @t236)) % 0.44/0.65 (define @t238 () (not @t234)) % 0.44/0.65 (define @t239 () (or @t224 @t238 @t237)) % 0.44/0.65 (define @t240 () (@list true false false)) % 0.44/0.65 (define @t241 () (not @t230)) % 0.44/0.65 (define @t242 () (or @t241 @t236 @t208)) % 0.44/0.65 (assume @p1 @t20) % 0.44/0.65 (assume @p2 (forall @t18 (=> @t11 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t22 @t21)))))) % 0.44/0.65 (assume @p3 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t1 @t2))))) % 0.44/0.65 (assume @p4 (forall @t31 (=> @t30 (=> (and @t27 @t29) @t28)))) % 0.44/0.65 (assume @p5 (forall @t31 (=> @t34 @t32))) % 0.44/0.65 (assume @p6 (forall @t24 (=> @t37 (forall @t35 (=> @t30 (=> @t28 (and @t27 @t29 @t26))))))) % 0.44/0.65 (assume @p7 (forall @t24 (=> @t41 (forall @t35 (=> @t30 (=> @t28 (and @t27 (not @t38) @t29 @t26))))))) % 0.44/0.65 (assume @p8 @t59) % 0.44/0.65 (assume @p9 (forall @t24 (=> @t62 (and (tptp.v1_group_1 @t60) (tptp.l1_group_1 @t60))))) % 0.44/0.65 (assume @p10 true) % 0.44/0.65 (assume @p11 @t64) % 0.44/0.65 (assume @p12 @t67) % 0.44/0.65 (assume @p13 @t69) % 0.44/0.65 (assume @p14 @t74) % 0.44/0.65 (assume @p15 (forall @t31 (=> @t75 @t34))) % 0.44/0.65 (assume @p16 (forall @t18 (=> @t11 (and (tptp.v1_funct_1 @t21) (tptp.v1_funct_2 @t21 @t76 @t22) (tptp.m2_relset_1 @t21 @t76 @t22))))) % 0.44/0.65 (assume @p17 (exists @t18 @t11)) % 0.44/0.65 (assume @p18 (exists @t18 @t68)) % 0.44/0.65 (assume @p19 (forall @t18 (=> @t72 (exists @t9 @t6)))) % 0.44/0.65 (assume @p20 (forall @t24 (exists @t35 @t30))) % 0.44/0.65 (assume @p21 (forall @t18 (exists @t9 (tptp.m1_subset_1 @t1 @t2)))) % 0.44/0.65 (assume @p22 (forall @t24 (exists @t35 @t75))) % 0.44/0.65 (assume @p23 (forall @t18 (=> @t16 (not (tptp.v1_xboole_0 @t51))))) % 0.44/0.65 (assume @p24 @t79) % 0.44/0.65 (assume @p25 (forall @t18 (not (tptp.v1_xboole_0 @t80)))) % 0.44/0.65 (assume @p26 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.44/0.65 (assume @p27 (forall @t24 (=> @t41 (not (tptp.v1_xboole_0 @t33))))) % 0.44/0.65 (assume @p28 (forall @t24 (=> @t62 (forall (@list @t25 @t81) (=> (= @t60 (tptp.g1_group_1 @t25 @t81)) (and (= @t2 @t25) (= @t1 @t81))))))) % 0.44/0.65 (assume @p29 (forall @t24 (exists @t35 (and @t30 @t32 @t27 @t26)))) % 0.44/0.65 (assume @p30 (forall @t18 (=> @t40 (exists @t9 (and @t82 @t37))))) % 0.44/0.65 (assume @p31 (exists @t18 @t39)) % 0.44/0.65 (assume @p32 (forall @t24 (exists @t35 (and @t30 @t32 @t27)))) % 0.44/0.65 (assume @p33 (forall @t18 (exists @t9 (and @t82 @t36)))) % 0.44/0.65 (assume @p34 (exists @t18 @t40)) % 0.44/0.65 (assume @p35 (exists @t18 (and @t68 @t15))) % 0.44/0.65 (assume @p36 (forall @t18 (=> @t78 (exists @t9 (and (tptp.m1_subset_1 @t1 @t50) @t37))))) % 0.44/0.65 (assume @p37 (forall @t31 (= @t75 @t30))) % 0.44/0.65 (assume @p38 (forall @t24 (tptp.r1_tarski @t2 @t2))) % 0.44/0.65 (assume @p39 (forall @t24 (=> @t23 @t83))) % 0.44/0.65 (assume @p40 @t85) % 0.44/0.65 (assume @p41 (forall @t24 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.44/0.65 (assume @p42 (forall @t31 (=> (and @t23 @t86) (tptp.m1_subset_1 @t2 @t25)))) % 0.44/0.65 (assume @p43 @t91) % 0.44/0.65 (assume @p44 (forall @t31 (not (and @t23 @t86 @t38)))) % 0.44/0.65 (assume @p45 (forall @t18 (=> @t39 (= @t2 tptp.k1_xboole_0)))) % 0.44/0.65 (assume @p46 (forall @t24 (not (and @t23 @t36)))) % 0.44/0.65 (assume @p47 (forall @t24 (not (and @t39 (not (= @t2 @t1)) @t36)))) % 0.44/0.65 (step @p48 :rule evaluate :args ((= true false))) % 0.44/0.65 (step @p49 :rule aci_norm :args ((= @t101 @t99))) % 0.44/0.65 (step @p50 :rule cong :premises (@p49) :args (@t103)) % 0.44/0.65 (step @p51 :rule quant-merge-prenex :args ((= (forall @t18 @t105) @t103))) % 0.44/0.65 (step @p52 :rule alpha_equiv :args (@t106 (@list @t92) @t107)) % 0.44/0.65 (step @p53 :rule refl :args (@t96)) % 0.44/0.65 (step @p54 :rule refl :args (@t97)) % 0.44/0.65 (step @p55 :rule refl :args (@t98)) % 0.44/0.65 (step @p56 :rule refl :args (@t14)) % 0.44/0.65 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53 @p52) :args (@t108)) % 0.44/0.65 (step @p58 :rule quant-miniscope-or :args ((= @t105 @t108))) % 0.44/0.65 (step @p59 :rule trans :premises (@p58 @p57)) % 0.44/0.65 (step @p60 :rule symm :premises (@p59)) % 0.44/0.65 (step @p61 :rule cong :premises (@p60) :args ((forall @t18 @t113))) % 0.44/0.65 (step @p62 :rule trans :premises (@p61 @p51)) % 0.44/0.65 (step @p63 :rule trans :premises (@p62 @p50)) % 0.44/0.65 (step @p64 :rule aci_norm :args ((= (or @t114 @t112) @t113))) % 0.44/0.65 (step @p65 :rule refl :args (@t112)) % 0.44/0.65 (step @p66 :rule bool-double-not-elim :args (@t14)) % 0.44/0.65 (step @p67 :rule nary_cong :premises (@p66 @p55 @p54 @p53) :args (@t116)) % 0.44/0.65 (step @p68 :rule aci_norm :args ((= (or @t115 (or @t98 (or @t97 @t96))) @t116))) % 0.44/0.65 (step @p69 :rule trans :premises (@p68 @p67)) % 0.44/0.65 (step @p70 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.44/0.65 (step @p71 :rule nary_cong :premises (@p55 @p70) :args ((or @t98 (not (and @t12 @t11))))) % 0.44/0.65 (step @p72 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 0.44/0.65 (step @p73 :rule trans :premises (@p72 @p71)) % 0.44/0.65 (step @p74 :rule refl :args (@t115)) % 0.44/0.65 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t115 (not (and @t13 @t12 @t11))))) % 0.44/0.65 (step @p76 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t11))) % 0.44/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.44/0.65 (step @p78 :rule trans :premises (@p77 @p69)) % 0.44/0.65 (step @p79 :rule nary_cong :premises (@p78 @p65) :args ((or @t117 @t112))) % 0.44/0.65 (step @p80 :rule trans :premises (@p79 @p64)) % 0.44/0.65 (step @p81 :rule bool-impl-elim :args (@t16 @t112)) % 0.44/0.65 (step @p82 :rule trans :premises (@p81 @p80)) % 0.44/0.65 (step @p83 :rule cong :premises (@p82) :args ((forall @t18 (=> @t16 @t112)))) % 0.44/0.65 (step @p84 :rule trans :premises (@p83 @p63)) % 0.44/0.65 (step @p85 :rule aci_norm :args ((= (or (or @t110 @t109) @t5) @t111))) % 0.44/0.65 (step @p86 :rule refl :args (@t5)) % 0.44/0.65 (step @p87 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.44/0.65 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t8) @t5))) % 0.44/0.65 (step @p89 :rule trans :premises (@p88 @p85)) % 0.44/0.65 (step @p90 :rule bool-impl-elim :args (@t8 @t5)) % 0.44/0.65 (step @p91 :rule trans :premises (@p90 @p89)) % 0.44/0.65 (step @p92 :rule cong :premises (@p91) :args (@t10)) % 0.44/0.65 (step @p93 :rule refl :args (@t16)) % 0.44/0.65 (step @p94 :rule cong :premises (@p93 @p92) :args (@t17)) % 0.44/0.65 (step @p95 :rule cong :premises (@p94) :args (@t19)) % 0.44/0.65 (step @p96 :rule trans :premises (@p95 @p84)) % 0.44/0.65 (step @p97 :rule cong :premises (@p96) :args (@t20)) % 0.44/0.65 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.44/0.65 (step @p99 :rule skolemize :premises (@p98)) % 0.44/0.65 (step @p100 :rule cnf_or_neg :args (@t136 6)) % 0.44/0.65 (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args ((not @t124) @t137 @t138)) % 0.44/0.65 (step @p102 :rule false_intro :premises (@p101)) % 0.44/0.65 (step @p103 :rule eq-symm :args (@t140 @t42)) % 0.44/0.65 (step @p104 :rule refl :args (@t141)) % 0.44/0.65 (step @p105 :rule refl :args (@t142)) % 0.44/0.65 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t143)) % 0.44/0.65 (step @p107 :rule cong :premises (@p106) :args (@t144)) % 0.44/0.65 (step @p108 :rule eq-symm :args (@t139 @t3)) % 0.44/0.65 (step @p109 :rule cong :premises (@p108 @p107) :args (@t145)) % 0.44/0.65 (step @p110 :rule refl :args (@t146)) % 0.44/0.65 (step @p111 :rule refl :args (@t147)) % 0.44/0.65 (step @p112 :rule refl :args (@t148)) % 0.44/0.65 (step @p113 :rule refl :args (@t96)) % 0.44/0.65 (step @p114 :rule refl :args (@t97)) % 0.44/0.65 (step @p115 :rule refl :args (@t98)) % 0.44/0.65 (step @p116 :rule refl :args (@t14)) % 0.44/0.65 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109) :args (@t149)) % 0.44/0.65 (step @p118 :rule aci_norm :args ((= @t151 @t149))) % 0.44/0.65 (step @p119 :rule trans :premises (@p118 @p117)) % 0.44/0.65 (step @p120 :rule cong :premises (@p119) :args (@t153)) % 0.44/0.65 (step @p121 :rule quant-merge-prenex :args ((= (forall @t18 @t155) @t153))) % 0.44/0.65 (step @p122 :rule alpha_equiv :args (@t156 (@list @t139) @t107)) % 0.44/0.65 (step @p123 :rule nary_cong :premises (@p56 @p55 @p54 @p53 @p122) :args (@t157)) % 0.44/0.65 (step @p124 :rule quant-miniscope-or :args ((= @t155 @t157))) % 0.44/0.65 (step @p125 :rule trans :premises (@p124 @p123)) % 0.44/0.65 (step @p126 :rule symm :premises (@p125)) % 0.44/0.65 (step @p127 :rule cong :premises (@p126) :args ((forall @t18 @t165))) % 0.44/0.65 (step @p128 :rule trans :premises (@p127 @p121)) % 0.44/0.65 (step @p129 :rule trans :premises (@p128 @p120)) % 0.44/0.65 (step @p130 :rule aci_norm :args ((= (or @t114 @t164) @t165))) % 0.44/0.65 (step @p131 :rule refl :args (@t164)) % 0.44/0.65 (step @p132 :rule nary_cong :premises (@p78 @p131) :args ((or @t117 @t164))) % 0.44/0.65 (step @p133 :rule trans :premises (@p132 @p130)) % 0.44/0.65 (step @p134 :rule 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(step @p148 :rule trans :premises (@p147 @p138)) % 0.44/0.65 (step @p149 :rule bool-impl-elim :args (@t55 @t159)) % 0.44/0.65 (step @p150 :rule trans :premises (@p149 @p148)) % 0.44/0.65 (step @p151 :rule cong :premises (@p150) :args ((forall @t9 (=> @t55 @t159)))) % 0.44/0.65 (step @p152 :rule aci_norm :args ((= (or (or @t142 @t141) @t43) @t158))) % 0.44/0.65 (step @p153 :rule refl :args (@t43)) % 0.44/0.65 (step @p154 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.44/0.65 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t46) @t43))) % 0.44/0.65 (step @p156 :rule trans :premises (@p155 @p152)) % 0.44/0.65 (step @p157 :rule bool-impl-elim :args (@t46 @t43)) % 0.44/0.65 (step @p158 :rule trans :premises (@p157 @p156)) % 0.44/0.65 (step @p159 :rule cong :premises (@p158) :args (@t47)) % 0.44/0.65 (step @p160 :rule refl :args (@t48)) % 0.44/0.65 (step @p161 :rule cong :premises (@p160 @p159) :args (@t49)) % 0.44/0.65 (step @p162 :rule refl :args (@t55)) % 0.44/0.65 (step @p163 :rule cong :premises (@p162 @p161) :args (@t56)) % 0.44/0.65 (step @p164 :rule cong :premises (@p163) :args (@t57)) % 0.44/0.65 (step @p165 :rule trans :premises (@p164 @p151)) % 0.44/0.65 (step @p166 :rule cong :premises (@p93 @p165) :args (@t58)) % 0.44/0.65 (step @p167 :rule cong :premises (@p166) :args (@t59)) % 0.44/0.65 (step @p168 :rule trans :premises (@p167 @p137)) % 0.44/0.65 (step @p169 :rule eq_resolve :premises (@p8 @p168)) % 0.44/0.65 (step @p170 :rule bool-eq-true :args (@t167)) % 0.44/0.65 (step @p171 :rule eq-symm :args (true @t167)) % 0.44/0.65 (step @p172 :rule trans :premises (@p171 @p170)) % 0.44/0.65 (step @p173 :rule refl :args (@t167)) % 0.44/0.65 (step @p174 :rule eq-refl :args (@t121)) % 0.44/0.65 (step @p175 :rule cong :premises (@p174 @p173) :args (@t168)) % 0.44/0.65 (step @p176 :rule trans :premises (@p175 @p172)) % 0.44/0.65 (step @p177 :rule refl :args (@t172)) % 0.44/0.65 (step @p178 :rule refl :args (@t174)) % 0.44/0.65 (step 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