%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP637+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 : n014.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 08:21:06 AM UTC 2026 % Result : Theorem 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP637+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 : n014.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 01:31:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.53/0.72 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.m1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.k2_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.k1_realset1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.v1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.53/0.73 (define @t1 () (@var "G" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "B" $$unsorted)) % 0.53/0.73 (define @t3 () (@var "F" $$unsorted)) % 0.53/0.73 (define @t4 () (tptp.m1_group_6 @t3 @t2 @t1)) % 0.53/0.73 (define @t5 () (@var "E" $$unsorted)) % 0.53/0.73 (define @t6 () (@var "A" $$unsorted)) % 0.53/0.73 (define @t7 () (@var "D" $$unsorted)) % 0.53/0.73 (define @t8 () (tptp.m1_group_6 @t7 @t6 @t5)) % 0.53/0.73 (define @t9 () (@var "C" $$unsorted)) % 0.53/0.73 (define @t10 () (tptp.u1_struct_0 @t2)) % 0.53/0.73 (define @t11 () (tptp.u1_struct_0 @t6)) % 0.53/0.73 (define @t12 () (tptp.k2_funct_2 @t11 @t10 @t9 (tptp.u1_struct_0 @t5))) % 0.53/0.73 (define @t13 () (= (tptp.u1_struct_0 @t1) @t12)) % 0.53/0.73 (define @t14 () (tptp.k2_funct_2 @t11 @t10 @t9 (tptp.u1_struct_0 @t7))) % 0.53/0.73 (define @t15 () (= (tptp.u1_struct_0 @t3) @t14)) % 0.53/0.73 (define @t16 () (and @t15 @t13 @t8)) % 0.53/0.73 (define @t17 () (=> @t16 @t4)) % 0.53/0.73 (define @t18 () (tptp.m1_group_2 @t1 @t2)) % 0.53/0.73 (define @t19 () (@list @t1)) % 0.53/0.73 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.53/0.73 (define @t21 () (tptp.m1_group_2 @t3 @t2)) % 0.53/0.73 (define @t22 () (=> @t21 @t20)) % 0.53/0.73 (define @t23 () (@list @t3)) % 0.53/0.73 (define @t24 () (forall @t23 @t22)) % 0.53/0.73 (define @t25 () (tptp.m1_group_2 @t5 @t6)) % 0.53/0.73 (define @t26 () (=> @t25 @t24)) % 0.53/0.73 (define @t27 () (@list @t5)) % 0.53/0.73 (define @t28 () (forall @t27 @t26)) % 0.53/0.73 (define @t29 () (tptp.m1_group_2 @t7 @t6)) % 0.53/0.73 (define @t30 () (=> @t29 @t28)) % 0.53/0.73 (define @t31 () (@list @t7)) % 0.53/0.73 (define @t32 () (forall @t31 @t30)) % 0.53/0.73 (define @t33 () (tptp.m2_relset_1 @t9 @t11 @t10)) % 0.53/0.73 (define @t34 () (tptp.v1_group_6 @t9 @t6 @t2)) % 0.53/0.73 (define @t35 () (tptp.v1_funct_2 @t9 @t11 @t10)) % 0.53/0.73 (define @t36 () (tptp.v1_funct_1 @t9)) % 0.53/0.73 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.53/0.73 (define @t38 () (=> @t37 @t32)) % 0.53/0.73 (define @t39 () (@list @t9)) % 0.53/0.73 (define @t40 () (forall @t39 @t38)) % 0.53/0.73 (define @t41 () (tptp.l1_group_1 @t2)) % 0.53/0.73 (define @t42 () (tptp.v4_group_1 @t2)) % 0.53/0.73 (define @t43 () (tptp.v3_group_1 @t2)) % 0.53/0.73 (define @t44 () (tptp.v3_struct_0 @t2)) % 0.53/0.73 (define @t45 () (not @t44)) % 0.53/0.73 (define @t46 () (and @t45 @t43 @t42 @t41)) % 0.53/0.73 (define @t47 () (=> @t46 @t40)) % 0.53/0.73 (define @t48 () (@list @t2)) % 0.53/0.73 (define @t49 () (forall @t48 @t47)) % 0.53/0.73 (define @t50 () (tptp.l1_group_1 @t6)) % 0.53/0.73 (define @t51 () (tptp.v4_group_1 @t6)) % 0.53/0.73 (define @t52 () (tptp.v3_group_1 @t6)) % 0.53/0.73 (define @t53 () (tptp.v3_struct_0 @t6)) % 0.53/0.73 (define @t54 () (not @t53)) % 0.53/0.73 (define @t55 () (and @t54 @t52 @t51 @t50)) % 0.53/0.73 (define @t56 () (=> @t55 @t49)) % 0.53/0.73 (define @t57 () (@list @t6)) % 0.53/0.73 (define @t58 () (forall @t57 @t56)) % 0.53/0.73 (define @t59 () (not @t58)) % 0.53/0.73 (define @t60 () (tptp.r2_hidden @t6 @t2)) % 0.53/0.73 (define @t61 () (@list @t6 @t2)) % 0.53/0.73 (define @t62 () (tptp.v1_funct_2 @t9 @t6 @t2)) % 0.53/0.73 (define @t63 () (and @t36 @t62)) % 0.53/0.73 (define @t64 () (tptp.v1_partfun1 @t9 @t6 @t2)) % 0.53/0.73 (define @t65 () (tptp.m1_relset_1 @t9 @t6 @t2)) % 0.53/0.73 (define @t66 () (@list @t6 @t2 @t9)) % 0.53/0.73 (define @t67 () (tptp.v1_relat_1 @t9)) % 0.53/0.73 (define @t68 () (tptp.k2_zfmisc_1 @t6 @t2)) % 0.53/0.73 (define @t69 () (tptp.m1_subset_1 @t9 (tptp.k1_zfmisc_1 @t68))) % 0.53/0.73 (define @t70 () (forall @t66 (=> @t69 @t67))) % 0.53/0.73 (define @t71 () (tptp.v1_xboole_0 @t2)) % 0.53/0.73 (define @t72 () (not @t71)) % 0.53/0.73 (define @t73 () (tptp.v1_xboole_0 @t9)) % 0.53/0.73 (define @t74 () (tptp.v1_xboole_0 @t6)) % 0.53/0.73 (define @t75 () (not @t74)) % 0.53/0.73 (define @t76 () (and @t75 @t72)) % 0.53/0.73 (define @t77 () (tptp.u1_group_1 @t6)) % 0.53/0.73 (define @t78 () (tptp.m1_group_2 @t2 @t6)) % 0.53/0.73 (define @t79 () (= @t78 (and (tptp.r1_tarski @t10 @t11) (= (tptp.u1_group_1 @t2) (tptp.k1_realset1 @t77 @t10))))) % 0.53/0.73 (define @t80 () (and @t45 @t43 @t41)) % 0.53/0.73 (define @t81 () (forall @t48 (=> @t80 @t79))) % 0.53/0.73 (define @t82 () (and @t54 @t52 @t50)) % 0.53/0.73 (define @t83 () (=> @t82 @t81)) % 0.53/0.73 (define @t84 () (forall @t57 @t83)) % 0.53/0.73 (define @t85 () (tptp.k1_zfmisc_1 @t2)) % 0.53/0.73 (define @t86 () (tptp.k2_funct_2 @t6 @t2 @t9 @t7)) % 0.53/0.73 (define @t87 () (and @t36 @t62 @t65)) % 0.53/0.73 (define @t88 () (@list @t6 @t2 @t9 @t7)) % 0.53/0.73 (define @t89 () (tptp.l1_struct_0 @t6)) % 0.53/0.73 (define @t90 () (forall @t48 (=> @t78 @t80))) % 0.53/0.73 (define @t91 () (=> @t82 @t90)) % 0.53/0.73 (define @t92 () (forall @t57 @t91)) % 0.53/0.73 (define @t93 () (tptp.m1_group_2 @t9 @t6)) % 0.53/0.73 (define @t94 () (tptp.m1_group_6 @t9 @t6 @t2)) % 0.53/0.73 (define @t95 () (and @t54 @t52 @t51 @t50 @t78)) % 0.53/0.73 (define @t96 () (tptp.m2_relset_1 @t9 @t6 @t2)) % 0.53/0.73 (define @t97 () (forall @t66 (=> @t96 @t69))) % 0.53/0.73 (define @t98 () (tptp.k2_zfmisc_1 @t11 @t11)) % 0.53/0.73 (define @t99 () (and @t54 @t89)) % 0.53/0.73 (define @t100 () (tptp.k1_zfmisc_1 @t6)) % 0.53/0.73 (define @t101 () (tptp.m1_subset_1 @t2 @t100)) % 0.53/0.73 (define @t102 () (= @t86 (tptp.k9_relat_1 @t9 @t7))) % 0.53/0.73 (define @t103 () (forall @t88 (=> @t87 @t102))) % 0.53/0.73 (define @t104 () (forall @t39 (= @t94 (tptp.m1_group_2 @t9 @t2)))) % 0.53/0.73 (define @t105 () (forall @t61 (=> @t95 @t104))) % 0.53/0.73 (define @t106 () (forall @t66 (= @t96 @t65))) % 0.53/0.73 (define @t107 () (tptp.r1_tarski (tptp.k9_relat_1 @t9 @t6) (tptp.k9_relat_1 @t9 @t2))) % 0.53/0.73 (define @t108 () (tptp.r1_tarski @t6 @t2)) % 0.53/0.73 (define @t109 () (=> @t108 @t107)) % 0.53/0.73 (define @t110 () (forall @t66 (=> @t67 @t109))) % 0.53/0.73 (define @t111 () (tptp.m1_subset_1 @t6 @t2)) % 0.53/0.73 (define @t112 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t9))) % 0.53/0.73 (define @t113 () (tptp.m1_group_2 @t2 @t9)) % 0.53/0.73 (define @t114 () (tptp.r1_tarski @t10 (tptp.u1_struct_0 @t9))) % 0.53/0.73 (define @t115 () (=> @t114 @t113)) % 0.53/0.73 (define @t116 () (forall @t39 (=> @t93 @t115))) % 0.53/0.73 (define @t117 () (=> @t78 @t116)) % 0.53/0.73 (define @t118 () (forall @t48 @t117)) % 0.53/0.73 (define @t119 () (=> @t55 @t118)) % 0.53/0.73 (define @t120 () (forall @t57 @t119)) % 0.53/0.73 (define @t121 () (not @t108)) % 0.53/0.73 (define @t122 () (not @t67)) % 0.53/0.73 (define @t123 () (@var "BOUND_VARIABLE_7919" $$unsorted)) % 0.53/0.73 (define @t124 () (@var "BOUND_VARIABLE_7909" $$unsorted)) % 0.53/0.73 (define @t125 () (@var "BOUND_VARIABLE_7917" $$unsorted)) % 0.53/0.73 (define @t126 () (tptp.m1_group_6 @t125 @t124 @t123)) % 0.53/0.73 (define @t127 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.53/0.73 (define @t128 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 0.53/0.73 (define @t129 () (tptp.u1_struct_0 @t124)) % 0.53/0.73 (define @t130 () (not (= (tptp.k2_funct_2 @t11 @t129 @t128 (tptp.u1_struct_0 @t127)) (tptp.u1_struct_0 @t123)))) % 0.53/0.73 (define @t131 () (not (tptp.m1_group_2 @t123 @t124))) % 0.53/0.73 (define @t132 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 0.53/0.73 (define @t133 () (not (= (tptp.k2_funct_2 @t11 @t129 @t128 (tptp.u1_struct_0 @t132)) (tptp.u1_struct_0 @t125)))) % 0.53/0.73 (define @t134 () (not (tptp.m1_group_2 @t125 @t124))) % 0.53/0.73 (define @t135 () (not (tptp.m1_group_6 @t132 @t6 @t127))) % 0.53/0.73 (define @t136 () (not (tptp.m1_group_2 @t127 @t6))) % 0.53/0.73 (define @t137 () (not (tptp.m1_group_2 @t132 @t6))) % 0.53/0.73 (define @t138 () (not (tptp.m2_relset_1 @t128 @t11 @t129))) % 0.53/0.73 (define @t139 () (not (tptp.v1_group_6 @t128 @t6 @t124))) % 0.53/0.73 (define @t140 () (not (tptp.v1_funct_2 @t128 @t11 @t129))) % 0.53/0.73 (define @t141 () (not (tptp.v1_funct_1 @t128))) % 0.53/0.73 (define @t142 () (not (tptp.l1_group_1 @t124))) % 0.53/0.73 (define @t143 () (not (tptp.v4_group_1 @t124))) % 0.53/0.73 (define @t144 () (not (tptp.v3_group_1 @t124))) % 0.53/0.73 (define @t145 () (tptp.v3_struct_0 @t124)) % 0.53/0.73 (define @t146 () (not @t50)) % 0.53/0.73 (define @t147 () (not @t51)) % 0.53/0.73 (define @t148 () (not @t52)) % 0.53/0.73 (define @t149 () (or @t53 @t148 @t147 @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t130 @t126)) % 0.53/0.73 (define @t150 () (@list @t6 @t124 @t128 @t132 @t127 @t125 @t123)) % 0.53/0.73 (define @t151 () (forall @t150 @t149)) % 0.53/0.73 (define @t152 () (@quantifiers_skolemize @t151 2)) % 0.53/0.73 (define @t153 () (@quantifiers_skolemize @t151 4)) % 0.53/0.73 (define @t154 () (tptp.u1_struct_0 @t153)) % 0.53/0.73 (define @t155 () (@quantifiers_skolemize @t151 3)) % 0.53/0.73 (define @t156 () (tptp.u1_struct_0 @t155)) % 0.53/0.73 (define @t157 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 0.53/0.73 (define @t158 () (tptp.u1_struct_0 @t157)) % 0.53/0.73 (define @t159 () (= (tptp.m1_group_2 @t157 @t6) (and (tptp.r1_tarski @t158 @t11) (= (tptp.u1_group_1 @t157) (tptp.k1_realset1 @t77 @t158))))) % 0.53/0.73 (define @t160 () (not (tptp.l1_group_1 @t157))) % 0.53/0.73 (define @t161 () (not (tptp.v3_group_1 @t157))) % 0.53/0.73 (define @t162 () (tptp.v3_struct_0 @t157)) % 0.53/0.73 (define @t163 () (or @t162 @t161 @t160 @t159)) % 0.53/0.73 (define @t164 () (or @t53 @t148 @t146 @t163)) % 0.53/0.73 (define @t165 () (forall (@list @t6 @t157) @t164)) % 0.53/0.73 (define @t166 () (@list @t157)) % 0.53/0.73 (define @t167 () (forall @t166 @t164)) % 0.53/0.73 (define @t168 () (forall @t166 @t163)) % 0.53/0.73 (define @t169 () (@list @t2)) % 0.53/0.73 (define @t170 () (or @t53 @t148 @t146 @t168)) % 0.53/0.73 (define @t171 () (not @t41)) % 0.53/0.73 (define @t172 () (not @t43)) % 0.53/0.73 (define @t173 () (or @t44 @t172 @t171 @t79)) % 0.53/0.73 (define @t174 () (forall @t48 @t173)) % 0.53/0.73 (define @t175 () (or @t53 @t148 @t146 @t174)) % 0.53/0.73 (define @t176 () (or @t53 @t148 @t146)) % 0.53/0.73 (define @t177 () (not @t54)) % 0.53/0.73 (define @t178 () (or @t177 @t148 @t146)) % 0.53/0.73 (define @t179 () (not @t82)) % 0.53/0.73 (define @t180 () (not @t45)) % 0.53/0.73 (define @t181 () (or @t180 @t172 @t171)) % 0.53/0.73 (define @t182 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 0.53/0.73 (define @t183 () (and (not (tptp.v3_struct_0 @t182)) (tptp.v3_group_1 @t182) (tptp.l1_group_1 @t182))) % 0.53/0.73 (define @t184 () (not (tptp.m1_group_2 @t182 @t6))) % 0.53/0.73 (define @t185 () (or @t184 @t183)) % 0.53/0.73 (define @t186 () (or @t53 @t148 @t146 @t185)) % 0.53/0.73 (define @t187 () (forall (@list @t6 @t182) @t186)) % 0.53/0.73 (define @t188 () (@list @t182)) % 0.53/0.73 (define @t189 () (forall @t188 @t186)) % 0.53/0.73 (define @t190 () (forall @t188 @t185)) % 0.53/0.73 (define @t191 () (or @t53 @t148 @t146 @t190)) % 0.53/0.73 (define @t192 () (not @t78)) % 0.53/0.73 (define @t193 () (forall @t48 (or @t192 @t80))) % 0.53/0.73 (define @t194 () (or @t53 @t148 @t146 @t193)) % 0.53/0.73 (define @t195 () (@quantifiers_skolemize @t151 0)) % 0.53/0.73 (define @t196 () (or @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t130 @t126)) % 0.53/0.73 (define @t197 () (or @t53 @t148 @t147 @t146 @t196)) % 0.53/0.73 (define @t198 () (forall @t150 @t197)) % 0.53/0.73 (define @t199 () (@list @t124 @t128 @t132 @t127 @t125 @t123)) % 0.53/0.73 (define @t200 () (forall @t199 @t197)) % 0.53/0.73 (define @t201 () (forall @t199 @t196)) % 0.53/0.73 (define @t202 () (@var "BOUND_VARIABLE_7863" $$unsorted)) % 0.53/0.73 (define @t203 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 0.53/0.73 (define @t204 () (@var "BOUND_VARIABLE_7859" $$unsorted)) % 0.53/0.73 (define @t205 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 0.53/0.73 (define @t206 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 0.53/0.73 (define @t207 () (or @t53 @t148 @t147 @t146 @t201)) % 0.53/0.73 (define @t208 () (tptp.m1_group_6 @t203 @t2 @t202)) % 0.53/0.73 (define @t209 () (not (= (tptp.k2_funct_2 @t11 @t10 @t206 (tptp.u1_struct_0 @t204)) (tptp.u1_struct_0 @t202)))) % 0.53/0.73 (define @t210 () (not (tptp.m1_group_2 @t202 @t2))) % 0.53/0.73 (define @t211 () (not (= (tptp.k2_funct_2 @t11 @t10 @t206 (tptp.u1_struct_0 @t205)) (tptp.u1_struct_0 @t203)))) % 0.53/0.73 (define @t212 () (not (tptp.m1_group_2 @t203 @t2))) % 0.53/0.73 (define @t213 () (not (tptp.m1_group_6 @t205 @t6 @t204))) % 0.53/0.73 (define @t214 () (not (tptp.m1_group_2 @t204 @t6))) % 0.53/0.73 (define @t215 () (not (tptp.m1_group_2 @t205 @t6))) % 0.53/0.73 (define @t216 () (not (tptp.m2_relset_1 @t206 @t11 @t10))) % 0.53/0.73 (define @t217 () (not (tptp.v1_group_6 @t206 @t6 @t2))) % 0.53/0.73 (define @t218 () (not (tptp.v1_funct_2 @t206 @t11 @t10))) % 0.53/0.73 (define @t219 () (not (tptp.v1_funct_1 @t206))) % 0.53/0.73 (define @t220 () (not @t42)) % 0.53/0.73 (define @t221 () (or @t44 @t172 @t220 @t171 @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208)) % 0.53/0.73 (define @t222 () (@list @t2 @t206 @t205 @t204 @t203 @t202)) % 0.53/0.73 (define @t223 () (forall @t222 @t221)) % 0.53/0.73 (define @t224 () (or @t53 @t148 @t147 @t146 @t223)) % 0.53/0.73 (define @t225 () (or @t53 @t148 @t147 @t146)) % 0.53/0.73 (define @t226 () (or @t177 @t148 @t147 @t146)) % 0.53/0.73 (define @t227 () (not @t55)) % 0.53/0.73 (define @t228 () (or @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208)) % 0.53/0.73 (define @t229 () (or @t44 @t172 @t220 @t171 @t228)) % 0.53/0.73 (define @t230 () (forall @t222 @t229)) % 0.53/0.73 (define @t231 () (@list @t206 @t205 @t204 @t203 @t202)) % 0.53/0.73 (define @t232 () (forall @t231 @t229)) % 0.53/0.73 (define @t233 () (forall @t231 @t228)) % 0.53/0.73 (define @t234 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 0.53/0.73 (define @t235 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 0.53/0.73 (define @t236 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 0.53/0.73 (define @t237 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 0.53/0.73 (define @t238 () (or @t44 @t172 @t220 @t171 @t233)) % 0.53/0.73 (define @t239 () (tptp.m1_group_6 @t235 @t2 @t234)) % 0.53/0.73 (define @t240 () (not (= (tptp.k2_funct_2 @t11 @t10 @t9 (tptp.u1_struct_0 @t236)) (tptp.u1_struct_0 @t234)))) % 0.53/0.73 (define @t241 () (not (tptp.m1_group_2 @t234 @t2))) % 0.53/0.73 (define @t242 () (not (= (tptp.k2_funct_2 @t11 @t10 @t9 (tptp.u1_struct_0 @t237)) (tptp.u1_struct_0 @t235)))) % 0.53/0.73 (define @t243 () (not (tptp.m1_group_2 @t235 @t2))) % 0.53/0.73 (define @t244 () (not (tptp.m1_group_6 @t237 @t6 @t236))) % 0.53/0.73 (define @t245 () (not (tptp.m1_group_2 @t236 @t6))) % 0.53/0.73 (define @t246 () (not (tptp.m1_group_2 @t237 @t6))) % 0.53/0.73 (define @t247 () (not @t33)) % 0.53/0.73 (define @t248 () (not @t34)) % 0.53/0.73 (define @t249 () (not @t35)) % 0.53/0.73 (define @t250 () (not @t36)) % 0.53/0.73 (define @t251 () (or @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239)) % 0.53/0.73 (define @t252 () (@list @t9 @t237 @t236 @t235 @t234)) % 0.53/0.73 (define @t253 () (forall @t252 @t251)) % 0.53/0.73 (define @t254 () (or @t44 @t172 @t220 @t171 @t253)) % 0.53/0.73 (define @t255 () (or @t180 @t172 @t220 @t171)) % 0.53/0.73 (define @t256 () (or @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239)) % 0.53/0.73 (define @t257 () (or @t250 @t249 @t248 @t247 @t256)) % 0.53/0.73 (define @t258 () (forall @t252 @t257)) % 0.53/0.73 (define @t259 () (@list @t237 @t236 @t235 @t234)) % 0.53/0.73 (define @t260 () (forall @t259 @t257)) % 0.53/0.73 (define @t261 () (forall @t259 @t256)) % 0.53/0.73 (define @t262 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 0.53/0.73 (define @t263 () (@var "BOUND_VARIABLE_7774" $$unsorted)) % 0.53/0.73 (define @t264 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 0.53/0.73 (define @t265 () (or @t250 @t249 @t248 @t247 @t261)) % 0.53/0.73 (define @t266 () (tptp.m1_group_6 @t263 @t2 @t262)) % 0.53/0.73 (define @t267 () (not (= (tptp.k2_funct_2 @t11 @t10 @t9 (tptp.u1_struct_0 @t264)) (tptp.u1_struct_0 @t262)))) % 0.53/0.73 (define @t268 () (not (tptp.m1_group_2 @t262 @t2))) % 0.53/0.73 (define @t269 () (not (= @t14 (tptp.u1_struct_0 @t263)))) % 0.53/0.73 (define @t270 () (not (tptp.m1_group_2 @t263 @t2))) % 0.53/0.73 (define @t271 () (not (tptp.m1_group_6 @t7 @t6 @t264))) % 0.53/0.73 (define @t272 () (not (tptp.m1_group_2 @t264 @t6))) % 0.53/0.73 (define @t273 () (not @t29)) % 0.53/0.73 (define @t274 () (or @t273 @t272 @t271 @t270 @t269 @t268 @t267 @t266)) % 0.53/0.73 (define @t275 () (@list @t7 @t264 @t263 @t262)) % 0.53/0.73 (define @t276 () (forall @t275 @t274)) % 0.53/0.73 (define @t277 () (or @t250 @t249 @t248 @t247 @t276)) % 0.53/0.73 (define @t278 () (or @t250 @t249 @t248 @t247)) % 0.53/0.73 (define @t279 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266)) % 0.53/0.73 (define @t280 () (or @t273 @t279)) % 0.53/0.73 (define @t281 () (forall @t275 @t280)) % 0.53/0.73 (define @t282 () (@list @t264 @t263 @t262)) % 0.53/0.73 (define @t283 () (forall @t282 @t280)) % 0.53/0.73 (define @t284 () (forall @t282 @t279)) % 0.53/0.73 (define @t285 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.53/0.73 (define @t286 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 0.53/0.73 (define @t287 () (or @t273 @t284)) % 0.53/0.73 (define @t288 () (tptp.m1_group_6 @t286 @t2 @t285)) % 0.53/0.73 (define @t289 () (not (= @t12 (tptp.u1_struct_0 @t285)))) % 0.53/0.73 (define @t290 () (not (tptp.m1_group_2 @t285 @t2))) % 0.53/0.73 (define @t291 () (tptp.u1_struct_0 @t286)) % 0.53/0.73 (define @t292 () (not (tptp.m1_group_2 @t286 @t2))) % 0.53/0.73 (define @t293 () (not @t8)) % 0.53/0.73 (define @t294 () (not @t25)) % 0.53/0.73 (define @t295 () (@list @t5 @t286 @t285)) % 0.53/0.73 (define @t296 () (forall @t295 (or @t294 @t293 @t292 (not (= @t14 @t291)) @t290 @t289 @t288))) % 0.53/0.73 (define @t297 () (not (= @t291 @t14))) % 0.53/0.73 (define @t298 () (or @t294 @t293 @t292 @t297 @t290 @t289 @t288)) % 0.53/0.73 (define @t299 () (or @t292 @t297 @t290 @t289 @t288)) % 0.53/0.73 (define @t300 () (or @t294 @t293 @t299)) % 0.53/0.73 (define @t301 () (forall @t295 @t300)) % 0.53/0.73 (define @t302 () (@list @t286 @t285)) % 0.53/0.73 (define @t303 () (forall @t302 @t300)) % 0.53/0.73 (define @t304 () (forall @t302 @t299)) % 0.53/0.73 (define @t305 () (@var "BOUND_VARIABLE_7720" $$unsorted)) % 0.53/0.73 (define @t306 () (or @t294 @t293 @t304)) % 0.53/0.73 (define @t307 () (tptp.m1_group_6 @t3 @t2 @t305)) % 0.53/0.73 (define @t308 () (tptp.u1_struct_0 @t305)) % 0.53/0.73 (define @t309 () (not (tptp.m1_group_2 @t305 @t2))) % 0.53/0.73 (define @t310 () (not @t15)) % 0.53/0.73 (define @t311 () (not @t21)) % 0.53/0.73 (define @t312 () (@list @t3 @t305)) % 0.53/0.73 (define @t313 () (forall @t312 (or @t311 @t310 @t309 (not (= @t12 @t308)) @t307))) % 0.53/0.73 (define @t314 () (or @t294 @t293 @t313)) % 0.53/0.73 (define @t315 () (or @t293 @t313)) % 0.53/0.73 (define @t316 () (not (= @t308 @t12))) % 0.53/0.73 (define @t317 () (or @t311 @t310 @t309 @t316 @t307)) % 0.53/0.73 (define @t318 () (or @t309 @t316 @t307)) % 0.53/0.73 (define @t319 () (or @t311 @t310 @t318)) % 0.53/0.73 (define @t320 () (forall @t312 @t319)) % 0.53/0.73 (define @t321 () (@list @t305)) % 0.53/0.73 (define @t322 () (forall @t321 @t319)) % 0.53/0.73 (define @t323 () (forall @t321 @t318)) % 0.53/0.73 (define @t324 () (or @t311 @t310 @t323)) % 0.53/0.73 (define @t325 () (not @t13)) % 0.53/0.73 (define @t326 () (not @t18)) % 0.53/0.73 (define @t327 () (or @t326 @t325 @t4)) % 0.53/0.73 (define @t328 () (forall @t19 @t327)) % 0.53/0.73 (define @t329 () (or @t311 @t310 @t328)) % 0.53/0.73 (define @t330 () (forall @t23 @t329)) % 0.53/0.73 (define @t331 () (or @t293 @t330)) % 0.53/0.73 (define @t332 () (or @t293 @t329)) % 0.53/0.73 (define @t333 () (or @t311 @t310 @t293 @t328)) % 0.53/0.73 (define @t334 () (or @t310 @t293 @t328)) % 0.53/0.73 (define @t335 () (or @t310 @t293 @t327)) % 0.53/0.73 (define @t336 () (or @t326 @t310 @t325 @t293 @t4)) % 0.53/0.73 (define @t337 () (or @t310 @t325 @t293 @t4)) % 0.53/0.73 (define @t338 () (or @t310 @t325 @t293)) % 0.53/0.73 (define @t339 () (tptp.m1_group_2 @t153 @t195)) % 0.53/0.73 (define @t340 () (@quantifiers_skolemize @t151 6)) % 0.53/0.73 (define @t341 () (@quantifiers_skolemize @t151 1)) % 0.53/0.73 (define @t342 () (@quantifiers_skolemize @t151 5)) % 0.53/0.73 (define @t343 () (tptp.m1_group_6 @t342 @t341 @t340)) % 0.53/0.73 (define @t344 () (tptp.u1_struct_0 @t340)) % 0.53/0.73 (define @t345 () (tptp.u1_struct_0 @t341)) % 0.53/0.73 (define @t346 () (tptp.u1_struct_0 @t195)) % 0.53/0.73 (define @t347 () (tptp.k2_funct_2 @t346 @t345 @t152 @t154)) % 0.53/0.73 (define @t348 () (= @t347 @t344)) % 0.53/0.73 (define @t349 () (not @t348)) % 0.53/0.73 (define @t350 () (tptp.m1_group_2 @t340 @t341)) % 0.53/0.73 (define @t351 () (not @t350)) % 0.53/0.73 (define @t352 () (tptp.u1_struct_0 @t342)) % 0.53/0.73 (define @t353 () (tptp.k2_funct_2 @t346 @t345 @t152 @t156)) % 0.53/0.73 (define @t354 () (= @t353 @t352)) % 0.53/0.73 (define @t355 () (not @t354)) % 0.53/0.73 (define @t356 () (tptp.m1_group_2 @t342 @t341)) % 0.53/0.73 (define @t357 () (not @t356)) % 0.53/0.73 (define @t358 () (tptp.m1_group_6 @t155 @t195 @t153)) % 0.53/0.73 (define @t359 () (not @t358)) % 0.53/0.73 (define @t360 () (not @t339)) % 0.53/0.73 (define @t361 () (tptp.m1_group_2 @t155 @t195)) % 0.53/0.73 (define @t362 () (not @t361)) % 0.53/0.73 (define @t363 () (tptp.m2_relset_1 @t152 @t346 @t345)) % 0.53/0.73 (define @t364 () (not @t363)) % 0.53/0.73 (define @t365 () (tptp.v1_funct_2 @t152 @t346 @t345)) % 0.53/0.73 (define @t366 () (not @t365)) % 0.53/0.73 (define @t367 () (tptp.v1_funct_1 @t152)) % 0.53/0.73 (define @t368 () (not @t367)) % 0.53/0.73 (define @t369 () (tptp.l1_group_1 @t341)) % 0.53/0.73 (define @t370 () (not @t369)) % 0.53/0.73 (define @t371 () (tptp.v4_group_1 @t341)) % 0.53/0.73 (define @t372 () (not @t371)) % 0.53/0.73 (define @t373 () (tptp.v3_group_1 @t341)) % 0.53/0.73 (define @t374 () (not @t373)) % 0.53/0.73 (define @t375 () (tptp.v3_struct_0 @t341)) % 0.53/0.73 (define @t376 () (tptp.l1_group_1 @t195)) % 0.53/0.73 (define @t377 () (not @t376)) % 0.53/0.73 (define @t378 () (tptp.v4_group_1 @t195)) % 0.53/0.73 (define @t379 () (not @t378)) % 0.53/0.73 (define @t380 () (tptp.v3_group_1 @t195)) % 0.53/0.73 (define @t381 () (not @t380)) % 0.53/0.73 (define @t382 () (tptp.v3_struct_0 @t195)) % 0.53/0.73 (define @t383 () (or @t382 @t381 @t379 @t377 @t375 @t374 @t372 @t370 @t368 @t366 (not (tptp.v1_group_6 @t152 @t195 @t341)) @t364 @t362 @t360 @t359 @t357 @t355 @t351 @t349 @t343)) % 0.53/0.73 (define @t384 () (@list true)) % 0.53/0.73 (define @t385 () (@list @t383)) % 0.53/0.73 (define @t386 () (tptp.l1_group_1 @t153)) % 0.53/0.73 (define @t387 () (tptp.v3_group_1 @t153)) % 0.53/0.73 (define @t388 () (tptp.v3_struct_0 @t153)) % 0.53/0.73 (define @t389 () (not @t388)) % 0.53/0.73 (define @t390 () (and @t389 @t387 @t386)) % 0.53/0.73 (define @t391 () (or @t382 @t381 @t377 @t360 @t390)) % 0.53/0.73 (define @t392 () (@list true false false false false)) % 0.53/0.73 (define @t393 () (not @t390)) % 0.53/0.73 (define @t394 () (@list false)) % 0.53/0.73 (define @t395 () (@list @t390)) % 0.53/0.73 (define @t396 () (tptp.l1_group_1 @t155)) % 0.53/0.73 (define @t397 () (tptp.v3_group_1 @t155)) % 0.53/0.73 (define @t398 () (tptp.v3_struct_0 @t155)) % 0.53/0.73 (define @t399 () (not @t398)) % 0.53/0.73 (define @t400 () (and @t399 @t397 @t396)) % 0.53/0.73 (define @t401 () (or @t382 @t381 @t377 @t362 @t400)) % 0.53/0.73 (define @t402 () (not @t400)) % 0.53/0.73 (define @t403 () (@list @t400)) % 0.53/0.73 (define @t404 () (tptp.r1_tarski @t156 @t154)) % 0.53/0.73 (define @t405 () (and @t404 (= (tptp.u1_group_1 @t155) (tptp.k1_realset1 (tptp.u1_group_1 @t153) @t156)))) % 0.53/0.73 (define @t406 () (tptp.m1_group_2 @t155 @t153)) % 0.53/0.73 (define @t407 () (= @t406 @t405)) % 0.53/0.73 (define @t408 () (not @t396)) % 0.53/0.73 (define @t409 () (not @t397)) % 0.53/0.73 (define @t410 () (not @t386)) % 0.53/0.73 (define @t411 () (not @t387)) % 0.53/0.73 (define @t412 () (or @t388 @t411 @t410 @t398 @t409 @t408 @t407)) % 0.53/0.73 (define @t413 () (@var "BOUND_VARIABLE_8240" $$unsorted)) % 0.53/0.73 (define @t414 () (= (tptp.m1_group_6 @t413 @t6 @t2) (tptp.m1_group_2 @t413 @t2))) % 0.53/0.73 (define @t415 () (or @t53 @t148 @t147 @t146 @t192 @t414)) % 0.53/0.73 (define @t416 () (@list @t413)) % 0.53/0.73 (define @t417 () (forall @t416 @t415)) % 0.53/0.73 (define @t418 () (forall @t416 @t414)) % 0.53/0.73 (define @t419 () (@list @t9)) % 0.53/0.73 (define @t420 () (or @t53 @t148 @t147 @t146 @t192 @t418)) % 0.53/0.73 (define @t421 () (or @t53 @t148 @t147 @t146 @t192 @t104)) % 0.53/0.73 (define @t422 () (or @t177 @t148 @t147 @t146 @t192)) % 0.53/0.73 (define @t423 () (= @t358 @t406)) % 0.53/0.73 (define @t424 () (or @t382 @t381 @t379 @t377 @t360 @t423)) % 0.53/0.73 (define @t425 () (@list true false false false false false)) % 0.53/0.73 (define @t426 () (@list false false)) % 0.53/0.73 (define @t427 () (@list @t346 @t345 @t152)) % 0.53/0.73 (define @t428 () (tptp.m1_subset_1 @t152 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t346 @t345)))) % 0.53/0.73 (define @t429 () (or @t364 @t428)) % 0.53/0.73 (define @t430 () (tptp.v1_relat_1 @t152)) % 0.53/0.73 (define @t431 () (not @t428)) % 0.53/0.73 (define @t432 () (or @t431 @t430)) % 0.53/0.73 (define @t433 () (tptp.k9_relat_1 @t152 @t154)) % 0.53/0.73 (define @t434 () (tptp.k9_relat_1 @t152 @t156)) % 0.53/0.73 (define @t435 () (tptp.r1_tarski @t434 @t433)) % 0.53/0.73 (define @t436 () (not @t404)) % 0.53/0.73 (define @t437 () (not @t430)) % 0.53/0.73 (define @t438 () (or @t437 @t436 @t435)) % 0.53/0.73 (define @t439 () (not @t65)) % 0.53/0.73 (define @t440 () (not @t62)) % 0.53/0.73 (define @t441 () (or @t250 @t440 @t439)) % 0.53/0.73 (define @t442 () (tptp.m1_relset_1 @t152 @t346 @t345)) % 0.53/0.73 (define @t443 () (forall @t66 (= @t65 @t96))) % 0.53/0.73 (define @t444 () (= @t442 @t363)) % 0.53/0.73 (define @t445 () (= @t363 @t442)) % 0.53/0.73 (define @t446 () (= @t347 @t433)) % 0.53/0.73 (define @t447 () (not @t442)) % 0.53/0.73 (define @t448 () (or @t368 @t366 @t447 @t446)) % 0.53/0.73 (define @t449 () (@list false false false false)) % 0.53/0.73 (define @t450 () (= @t353 @t434)) % 0.53/0.73 (define @t451 () (or @t368 @t366 @t447 @t450)) % 0.53/0.73 (define @t452 () (tptp.r1_tarski @t352 @t344)) % 0.53/0.73 (define @t453 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.53/0.73 (define @t454 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.53/0.73 (define @t455 () (tptp.m1_group_2 @t454 @t453)) % 0.53/0.73 (define @t456 () (not (tptp.r1_tarski (tptp.u1_struct_0 @t454) (tptp.u1_struct_0 @t453)))) % 0.53/0.73 (define @t457 () (not (tptp.m1_group_2 @t453 @t6))) % 0.53/0.73 (define @t458 () (not (tptp.m1_group_2 @t454 @t6))) % 0.53/0.73 (define @t459 () (or @t458 @t457 @t456 @t455)) % 0.53/0.73 (define @t460 () (or @t53 @t148 @t147 @t146 @t459)) % 0.53/0.73 (define @t461 () (forall (@list @t6 @t454 @t453) @t460)) % 0.53/0.73 (define @t462 () (@list @t454 @t453)) % 0.53/0.73 (define @t463 () (forall @t462 @t460)) % 0.53/0.73 (define @t464 () (forall @t462 @t459)) % 0.53/0.73 (define @t465 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 0.53/0.73 (define @t466 () (or @t53 @t148 @t147 @t146 @t464)) % 0.53/0.73 (define @t467 () (tptp.m1_group_2 @t2 @t465)) % 0.53/0.73 (define @t468 () (not (tptp.r1_tarski @t10 (tptp.u1_struct_0 @t465)))) % 0.53/0.73 (define @t469 () (not (tptp.m1_group_2 @t465 @t6))) % 0.53/0.73 (define @t470 () (or @t192 @t469 @t468 @t467)) % 0.53/0.73 (define @t471 () (@list @t2 @t465)) % 0.53/0.73 (define @t472 () (forall @t471 @t470)) % 0.53/0.73 (define @t473 () (or @t53 @t148 @t147 @t146 @t472)) % 0.53/0.73 (define @t474 () (or @t469 @t468 @t467)) % 0.53/0.73 (define @t475 () (or @t192 @t474)) % 0.53/0.73 (define @t476 () (forall @t471 @t475)) % 0.53/0.73 (define @t477 () (@list @t465)) % 0.53/0.73 (define @t478 () (forall @t477 @t475)) % 0.53/0.73 (define @t479 () (forall @t477 @t474)) % 0.53/0.73 (define @t480 () (or @t192 @t479)) % 0.53/0.73 (define @t481 () (not @t114)) % 0.53/0.73 (define @t482 () (not @t93)) % 0.53/0.73 (define @t483 () (or @t482 @t481 @t113)) % 0.53/0.73 (define @t484 () (forall @t39 @t483)) % 0.53/0.73 (define @t485 () (tptp.m1_group_2 @t342 @t340)) % 0.53/0.73 (define @t486 () (= @t343 @t485)) % 0.53/0.73 (define @t487 () (or @t375 @t374 @t372 @t370 @t351 @t486)) % 0.53/0.73 (define @t488 () (not @t485)) % 0.53/0.73 (define @t489 () (not @t452)) % 0.53/0.73 (define @t490 () (or @t375 @t374 @t372 @t370 @t357 @t351 @t489 @t485)) % 0.53/0.73 (assume @p1 @t59) % 0.53/0.73 (assume @p2 (forall @t61 (=> @t60 (not (tptp.r2_hidden @t2 @t6))))) % 0.53/0.73 (assume @p3 (forall @t66 (=> @t65 (=> (and @t36 @t64) @t63)))) % 0.53/0.73 (assume @p4 @t70) % 0.53/0.73 (assume @p5 (forall @t61 (=> @t72 (forall @t39 (=> @t65 (=> @t63 (and @t36 @t64 @t62))))))) % 0.53/0.73 (assume @p6 (forall @t61 (=> @t76 (forall @t39 (=> @t65 (=> @t63 (and @t36 (not @t73) @t64 @t62))))))) % 0.53/0.73 (assume @p7 @t84) % 0.53/0.73 (assume @p8 true) % 0.53/0.73 (assume @p9 (forall @t88 (=> @t87 (tptp.m1_subset_1 @t86 @t85)))) % 0.53/0.73 (assume @p10 (forall @t57 (=> @t50 @t89))) % 0.53/0.73 (assume @p11 @t92) % 0.53/0.73 (assume @p12 (forall @t61 (=> @t95 (forall @t39 (=> @t94 @t93))))) % 0.53/0.73 (assume @p13 @t97) % 0.53/0.73 (assume @p14 (forall @t57 (=> @t50 (and (tptp.v1_funct_1 @t77) (tptp.v1_funct_2 @t77 @t98 @t11) (tptp.m2_relset_1 @t77 @t98 @t11))))) % 0.53/0.73 (assume @p15 (exists @t57 @t50)) % 0.53/0.73 (assume @p16 (exists @t57 @t89)) % 0.53/0.73 (assume @p17 (forall @t57 (=> @t82 (exists @t48 @t78)))) % 0.53/0.73 (assume @p18 (forall @t61 (=> @t95 (exists @t39 @t94)))) % 0.53/0.73 (assume @p19 (forall @t61 (exists @t39 @t65))) % 0.53/0.73 (assume @p20 (forall @t57 (exists @t48 (tptp.m1_subset_1 @t2 @t6)))) % 0.53/0.73 (assume @p21 (forall @t61 (exists @t39 @t96))) % 0.53/0.73 (assume @p22 (forall @t57 (=> @t99 (not (tptp.v1_xboole_0 @t11))))) % 0.53/0.73 (assume @p23 (forall @t57 (not (tptp.v1_xboole_0 @t100)))) % 0.53/0.73 (assume @p24 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.53/0.73 (assume @p25 (forall @t61 (=> @t76 (not (tptp.v1_xboole_0 @t68))))) % 0.53/0.73 (assume @p26 (forall @t61 (exists @t39 (and @t65 @t67 @t36 @t62)))) % 0.53/0.73 (assume @p27 (forall @t57 (=> @t75 (exists @t48 (and @t101 @t72))))) % 0.53/0.73 (assume @p28 (exists @t57 @t74)) % 0.53/0.73 (assume @p29 (forall @t61 (exists @t39 (and @t65 @t67 @t36)))) % 0.53/0.73 (assume @p30 (forall @t57 (exists @t48 (and @t101 @t71)))) % 0.53/0.73 (assume @p31 (exists @t57 @t75)) % 0.53/0.73 (assume @p32 (exists @t57 (and @t89 @t54))) % 0.53/0.73 (assume @p33 (forall @t57 (=> @t99 (exists @t48 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t11)) @t72))))) % 0.53/0.73 (assume @p34 @t103) % 0.53/0.73 (assume @p35 @t105) % 0.53/0.73 (assume @p36 @t106) % 0.53/0.73 (assume @p37 (forall @t61 (tptp.r1_tarski @t6 @t6))) % 0.53/0.73 (assume @p38 @t110) % 0.53/0.73 (assume @p39 (forall @t61 (=> @t60 @t111))) % 0.53/0.73 (assume @p40 (forall @t61 (=> @t111 (or @t71 @t60)))) % 0.53/0.73 (assume @p41 (forall @t61 (= (tptp.m1_subset_1 @t6 @t85) @t108))) % 0.53/0.73 (assume @p42 (forall @t66 (=> (and @t60 @t112) (tptp.m1_subset_1 @t6 @t9)))) % 0.53/0.73 (assume @p43 (forall @t66 (not (and @t60 @t112 @t73)))) % 0.53/0.73 (assume @p44 @t120) % 0.53/0.73 (assume @p45 (forall @t57 (=> @t74 (= @t6 tptp.k1_xboole_0)))) % 0.53/0.73 (assume @p46 (forall @t61 (not (and @t60 @t71)))) % 0.53/0.73 (assume @p47 (forall @t61 (not (and @t74 (not (= @t6 @t2)) @t71)))) % 0.53/0.73 (step @p48 :rule evaluate :args ((= false true))) % 0.53/0.73 (step @p49 :rule aci_norm :args ((= (or @t122 (or @t121 @t107)) (or @t122 @t121 @t107)))) % 0.53/0.73 (step @p50 :rule bool-impl-elim :args (@t108 @t107)) % 0.53/0.73 (step @p51 :rule refl :args (@t122)) % 0.53/0.73 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t122 @t109))) % 0.53/0.73 (step @p53 :rule trans :premises (@p52 @p49)) % 0.53/0.73 (step @p54 :rule bool-impl-elim :args (@t67 @t109)) % 0.53/0.73 (step @p55 :rule trans :premises (@p54 @p53)) % 0.53/0.73 (step @p56 :rule cong :premises (@p55) :args (@t110)) % 0.53/0.73 (step @p57 :rule eq_resolve :premises (@p38 @p56)) % 0.53/0.73 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t156 @t154 @t152))) % 0.53/0.73 (step @p59 :rule aci_norm :args ((= @t164 (or @t53 @t148 @t146 @t162 @t161 @t160 @t159)))) % 0.53/0.73 (step @p60 :rule cong :premises (@p59) :args (@t165)) % 0.53/0.73 (step @p61 :rule quant-merge-prenex :args ((= (forall @t57 @t167) @t165))) % 0.53/0.73 (step @p62 :rule alpha_equiv :args (@t168 (@list @t157) @t169)) % 0.53/0.73 (step @p63 :rule refl :args (@t146)) % 0.53/0.73 (step @p64 :rule refl :args (@t148)) % 0.53/0.73 (step @p65 :rule refl :args (@t53)) % 0.53/0.73 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62) :args (@t170)) % 0.53/0.73 (step @p67 :rule quant-miniscope-or :args ((= @t167 @t170))) % 0.53/0.73 (step @p68 :rule trans :premises (@p67 @p66)) % 0.53/0.73 (step @p69 :rule symm :premises (@p68)) % 0.53/0.73 (step @p70 :rule cong :premises (@p69) :args ((forall @t57 @t175))) % 0.53/0.73 (step @p71 :rule trans :premises (@p70 @p61)) % 0.53/0.73 (step @p72 :rule trans :premises (@p71 @p60)) % 0.53/0.73 (step @p73 :rule aci_norm :args ((= (or @t176 @t174) @t175))) % 0.53/0.73 (step @p74 :rule refl :args (@t174)) % 0.53/0.73 (step @p75 :rule bool-double-not-elim :args (@t53)) % 0.53/0.73 (step @p76 :rule nary_cong :premises (@p75 @p64 @p63) :args (@t178)) % 0.53/0.73 (step @p77 :rule aci_norm :args ((= (or @t177 (or @t148 @t146)) @t178))) % 0.53/0.73 (step @p78 :rule trans :premises (@p77 @p76)) % 0.53/0.73 (step @p79 :rule bool-and-de-morgan :args (@t52 @t50 true)) % 0.53/0.73 (step @p80 :rule refl :args (@t177)) % 0.53/0.73 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t177 (not (and @t52 @t50))))) % 0.53/0.73 (step @p82 :rule bool-and-de-morgan :args (@t54 @t52 (and @t50))) % 0.53/0.73 (step @p83 :rule trans :premises (@p82 @p81)) % 0.53/0.73 (step @p84 :rule trans :premises (@p83 @p78)) % 0.53/0.73 (step @p85 :rule nary_cong :premises (@p84 @p74) :args ((or @t179 @t174))) % 0.53/0.73 (step @p86 :rule trans :premises (@p85 @p73)) % 0.53/0.73 (step @p87 :rule bool-impl-elim :args (@t82 @t174)) % 0.53/0.73 (step @p88 :rule trans :premises (@p87 @p86)) % 0.53/0.73 (step @p89 :rule cong :premises (@p88) :args ((forall @t57 (=> @t82 @t174)))) % 0.53/0.73 (step @p90 :rule trans :premises (@p89 @p72)) % 0.53/0.73 (step @p91 :rule aci_norm :args ((= (or (or @t44 @t172 @t171) @t79) @t173))) % 0.53/0.73 (step @p92 :rule refl :args (@t79)) % 0.53/0.73 (step @p93 :rule refl :args (@t171)) % 0.53/0.73 (step @p94 :rule refl :args (@t172)) % 0.53/0.73 (step @p95 :rule bool-double-not-elim :args (@t44)) % 0.53/0.73 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t181)) % 0.53/0.73 (step @p97 :rule aci_norm :args ((= (or @t180 (or @t172 @t171)) @t181))) % 0.53/0.73 (step @p98 :rule trans :premises (@p97 @p96)) % 0.53/0.73 (step @p99 :rule bool-and-de-morgan :args (@t43 @t41 true)) % 0.53/0.73 (step @p100 :rule refl :args (@t180)) % 0.53/0.73 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t180 (not (and @t43 @t41))))) % 0.53/0.73 (step @p102 :rule bool-and-de-morgan :args (@t45 @t43 (and @t41))) % 0.53/0.73 (step @p103 :rule trans :premises (@p102 @p101)) % 0.53/0.73 (step @p104 :rule trans :premises (@p103 @p98)) % 0.53/0.73 (step @p105 :rule nary_cong :premises (@p104 @p92) :args ((or (not @t80) @t79))) % 0.53/0.73 (step @p106 :rule trans :premises (@p105 @p91)) % 0.53/0.73 (step @p107 :rule bool-impl-elim :args (@t80 @t79)) % 0.53/0.73 (step @p108 :rule trans :premises (@p107 @p106)) % 0.53/0.73 (step @p109 :rule cong :premises (@p108) :args (@t81)) % 0.53/0.73 (step @p110 :rule refl :args (@t82)) % 0.53/0.73 (step @p111 :rule cong :premises (@p110 @p109) :args (@t83)) % 0.53/0.73 (step @p112 :rule cong :premises (@p111) :args (@t84)) % 0.53/0.73 (step @p113 :rule trans :premises (@p112 @p90)) % 0.53/0.73 (step @p114 :rule eq_resolve :premises (@p7 @p113)) % 0.53/0.73 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t153 @t155))) % 0.53/0.73 (step @p116 :rule aci_norm :args ((= @t186 (or @t53 @t148 @t146 @t184 @t183)))) % 0.53/0.73 (step @p117 :rule cong :premises (@p116) :args (@t187)) % 0.53/0.73 (step @p118 :rule quant-merge-prenex :args ((= (forall @t57 @t189) @t187))) % 0.53/0.73 (step @p119 :rule alpha_equiv :args (@t190 (@list @t182) @t169)) % 0.53/0.73 (step @p120 :rule nary_cong :premises (@p65 @p64 @p63 @p119) :args (@t191)) % 0.53/0.73 (step @p121 :rule quant-miniscope-or :args ((= @t189 @t191))) % 0.53/0.73 (step @p122 :rule trans :premises (@p121 @p120)) % 0.53/0.73 (step @p123 :rule symm :premises (@p122)) % 0.53/0.73 (step @p124 :rule cong :premises (@p123) :args ((forall @t57 @t194))) % 0.53/0.73 (step @p125 :rule trans :premises (@p124 @p118)) % 0.53/0.73 (step @p126 :rule trans :premises (@p125 @p117)) % 0.53/0.73 (step @p127 :rule aci_norm :args ((= (or @t176 @t193) @t194))) % 0.53/0.73 (step @p128 :rule refl :args (@t193)) % 0.53/0.73 (step @p129 :rule nary_cong :premises (@p84 @p128) :args ((or @t179 @t193))) % 0.53/0.73 (step @p130 :rule trans :premises (@p129 @p127)) % 0.53/0.73 (step @p131 :rule bool-impl-elim :args (@t82 @t193)) % 0.53/0.73 (step @p132 :rule trans :premises (@p131 @p130)) % 0.53/0.73 (step @p133 :rule cong :premises (@p132) :args ((forall @t57 (=> @t82 @t193)))) % 0.53/0.73 (step @p134 :rule trans :premises (@p133 @p126)) % 0.53/0.73 (step @p135 :rule bool-impl-elim :args (@t78 @t80)) % 0.53/0.73 (step @p136 :rule cong :premises (@p135) :args (@t90)) % 0.53/0.73 (step @p137 :rule cong :premises (@p110 @p136) :args (@t91)) % 0.53/0.73 (step @p138 :rule cong :premises (@p137) :args (@t92)) % 0.53/0.73 (step @p139 :rule trans :premises (@p138 @p134)) % 0.53/0.73 (step @p140 :rule eq_resolve :premises (@p11 @p139)) % 0.53/0.73 (step @p141 :rule instantiate :premises (@p140) :args ((@list @t195 @t153))) % 0.53/0.73 (step @p142 :rule aci_norm :args ((= @t197 @t149))) % 0.53/0.73 (step @p143 :rule cong :premises (@p142) :args (@t198)) % 0.53/0.73 (step @p144 :rule quant-merge-prenex :args ((= (forall @t57 @t200) @t198))) % 0.53/0.73 (step @p145 :rule alpha_equiv :args (@t201 (@list @t124 @t128 @t132 @t127 @t125 @t123) (@list @t2 @t206 @t205 @t204 @t203 @t202))) % 0.53/0.73 (step @p146 :rule refl :args (@t147)) % 0.53/0.73 (step @p147 :rule nary_cong :premises (@p65 @p64 @p146 @p63 @p145) :args (@t207)) % 0.53/0.73 (step @p148 :rule quant-miniscope-or :args ((= @t200 @t207))) % 0.53/0.73 (step @p149 :rule trans :premises (@p148 @p147)) % 0.53/0.73 (step @p150 :rule symm :premises (@p149)) % 0.53/0.73 (step @p151 :rule cong :premises (@p150) :args ((forall @t57 @t224))) % 0.53/0.73 (step @p152 :rule trans :premises (@p151 @p144)) % 0.53/0.73 (step @p153 :rule trans :premises (@p152 @p143)) % 0.53/0.73 (step @p154 :rule aci_norm :args ((= (or @t225 @t223) @t224))) % 0.53/0.73 (step @p155 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(@t116)) % 0.53/0.73 (step @p607 :rule refl :args (@t78)) % 0.53/0.73 (step @p608 :rule cong :premises (@p607 @p606) :args (@t117)) % 0.53/0.73 (step @p609 :rule cong :premises (@p608) :args (@t118)) % 0.53/0.73 (step @p610 :rule trans :premises (@p609 @p598)) % 0.53/0.73 (step @p611 :rule cong :premises (@p356 @p610) :args (@t119)) % 0.53/0.73 (step @p612 :rule cong :premises (@p611) :args (@t120)) % 0.53/0.73 (step @p613 :rule trans :premises (@p612 @p584)) % 0.53/0.73 (step @p614 :rule eq_resolve :premises (@p44 @p613)) % 0.53/0.73 (step @p615 :rule instantiate :premises (@p614) :args ((@list @t341 @t342 @t340))) % 0.53/0.73 (step @p616 :rule instantiate :premises (@p449) :args ((@list @t341 @t340 @t342))) % 0.53/0.73 (step @p617 :rule bool-double-not-elim :args (@t350)) % 0.53/0.73 (step @p618 :rule nary_cong :premises (@p364 @p617) :args ((or @t383 (not @t351)))) % 0.53/0.73 (step @p619 :rule cnf_or_neg :args (@t383 17)) % 0.53/0.73 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 0.53/0.73 (step @p621 :rule reordering :premises (@p620) :args ((or @t350 @t383))) % 0.53/0.73 (step @p622 :rule chain_m_resolution :premises (@p621 @p362) :args (@t350 @t384 @t385)) % 0.53/0.73 (step @p623 :rule bool-double-not-elim :args (@t369)) % 0.53/0.73 (step @p624 :rule nary_cong :premises (@p364 @p623) :args ((or @t383 (not @t370)))) % 0.53/0.73 (step @p625 :rule cnf_or_neg :args (@t383 7)) % 0.53/0.73 (step @p626 :rule eq_resolve :premises (@p625 @p624)) % 0.53/0.73 (step @p627 :rule reordering :premises (@p626) :args ((or @t369 @t383))) % 0.53/0.73 (step @p628 :rule chain_m_resolution :premises (@p627 @p362) :args (@t369 @t384 @t385)) % 0.53/0.73 (step @p629 :rule bool-double-not-elim :args (@t371)) % 0.53/0.73 (step @p630 :rule nary_cong :premises (@p364 @p629) :args ((or @t383 (not @t372)))) % 0.53/0.73 (step @p631 :rule cnf_or_neg :args (@t383 6)) % 0.53/0.73 (step @p632 :rule eq_resolve :premises (@p631 @p630)) % 0.53/0.73 (step @p633 :rule reordering :premises (@p632) :args ((or @t371 @t383))) % 0.53/0.73 (step @p634 :rule chain_m_resolution :premises (@p633 @p362) :args (@t371 @t384 @t385)) % 0.53/0.73 (step @p635 :rule bool-double-not-elim :args (@t373)) % 0.53/0.73 (step @p636 :rule nary_cong :premises (@p364 @p635) :args ((or @t383 (not @t374)))) % 0.53/0.73 (step @p637 :rule cnf_or_neg :args (@t383 5)) % 0.53/0.73 (step @p638 :rule eq_resolve :premises (@p637 @p636)) % 0.53/0.73 (step @p639 :rule reordering :premises (@p638) :args ((or @t373 @t383))) % 0.53/0.73 (step @p640 :rule chain_m_resolution :premises (@p639 @p362) :args (@t373 @t384 @t385)) % 0.53/0.73 (step @p641 :rule cnf_or_neg :args (@t383 4)) % 0.53/0.73 (step @p642 :rule chain_m_resolution :premises (@p641 @p362) :args ((not @t375) @t384 @t385)) % 0.53/0.73 (step @p643 :rule cnf_or_pos :args (@t487)) % 0.53/0.73 (step @p644 :rule reordering :premises (@p643) :args ((or @t375 @t374 @t372 @t370 @t351 @t486 (not @t487)))) % 0.53/0.73 (step @p645 :rule chain_m_resolution :premises (@p644 @p642 @p640 @p634 @p628 @p622 @p616) :args (@t486 @t425 (@list @t375 @t373 @t371 @t369 @t350 @t487))) % 0.53/0.73 (step @p646 :rule cnf_or_neg :args (@t383 19)) % 0.53/0.73 (step @p647 :rule chain_m_resolution :premises (@p646 @p362) :args ((not @t343) @t384 @t385)) % 0.53/0.73 (step @p648 :rule cnf_equiv_pos2 :args (@t486)) % 0.53/0.73 (step @p649 :rule reordering :premises (@p648) :args ((or @t343 @t488 (not @t486)))) % 0.53/0.73 (step @p650 :rule chain_m_resolution :premises (@p649 @p647 @p645) :args (@t488 (@list true false) (@list @t343 @t486))) % 0.53/0.73 (step @p651 :rule bool-double-not-elim :args (@t356)) % 0.53/0.73 (step @p652 :rule nary_cong :premises (@p364 @p651) :args ((or @t383 (not @t357)))) % 0.53/0.73 (step @p653 :rule cnf_or_neg :args (@t383 15)) % 0.53/0.73 (step @p654 :rule eq_resolve :premises (@p653 @p652)) % 0.53/0.73 (step @p655 :rule reordering :premises (@p654) :args ((or @t356 @t383))) % 0.53/0.73 (step @p656 :rule chain_m_resolution :premises (@p655 @p362) :args (@t356 @t384 @t385)) % 0.53/0.73 (step @p657 :rule cnf_or_pos :args (@t490)) % 0.53/0.73 (step @p658 :rule reordering :premises (@p657) :args ((or @t375 @t374 @t372 @t370 @t357 @t351 @t485 @t489 (not @t490)))) % 0.53/0.73 (step @p659 :rule chain_m_resolution :premises (@p658 @p642 @p640 @p634 @p628 @p656 @p622 @p650 @p615) :args (@t489 (@list true false false false false false true false) (@list @t375 @t373 @t371 @t369 @t356 @t350 @t485 @t490))) % 0.53/0.73 (step @p660 :rule false_intro :premises (@p659)) % 0.53/0.73 (step @p661 :rule symm :premises (@p660)) % 0.53/0.73 (step @p662 :rule trans :premises (@p661 @p565 @p498)) % 0.53/0.73 (step @p663 false :rule eq_resolve :premises (@p662 @p48)) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------