%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP646+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 : n015.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 08:21:09 AM UTC 2026 % Result : Theorem 1.12s 1.34s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP646+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 % 0.16/0.34 % Computer : n015.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 01:36:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.34 % SZS status Theorem % 1.12/1.34 % SZS output start Proof % 1.12/1.34 ( % 1.12/1.34 (declare-sort $$unsorted 0) % 1.12/1.34 (declare-const tptp.k1_setfam_1 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.12/1.34 (declare-const tptp.m1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k18_group_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k5_finsub_1 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k6_domain_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k1_realset1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.r1_group_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k2_latsubgr (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k5_group_2 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.k2_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.k6_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (define @t1 () (@var "A" $$unsorted)) % 1.12/1.34 (define @t2 () (tptp.k5_group_2 @t1)) % 1.12/1.34 (define @t3 () (@var "B" $$unsorted)) % 1.12/1.34 (define @t4 () (tptp.k2_latsubgr @t1 @t3)) % 1.12/1.34 (define @t5 () (tptp.r1_group_2 @t1 @t4 @t2)) % 1.12/1.34 (define @t6 () (tptp.r2_hidden @t2 @t3)) % 1.12/1.34 (define @t7 () (=> @t6 @t5)) % 1.12/1.34 (define @t8 () (tptp.k1_group_3 @t1)) % 1.12/1.34 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 1.12/1.34 (define @t10 () (tptp.m1_subset_1 @t3 @t9)) % 1.12/1.34 (define @t11 () (tptp.v1_xboole_0 @t3)) % 1.12/1.34 (define @t12 () (not @t11)) % 1.12/1.34 (define @t13 () (and @t12 @t10)) % 1.12/1.34 (define @t14 () (@list @t3)) % 1.12/1.34 (define @t15 () (forall @t14 (=> @t13 @t7))) % 1.12/1.34 (define @t16 () (tptp.l1_group_1 @t1)) % 1.12/1.34 (define @t17 () (tptp.v4_group_1 @t1)) % 1.12/1.34 (define @t18 () (tptp.v3_group_1 @t1)) % 1.12/1.34 (define @t19 () (tptp.v3_struct_0 @t1)) % 1.12/1.34 (define @t20 () (not @t19)) % 1.12/1.34 (define @t21 () (and @t20 @t18 @t17 @t16)) % 1.12/1.34 (define @t22 () (=> @t21 @t15)) % 1.12/1.34 (define @t23 () (@list @t1)) % 1.12/1.34 (define @t24 () (forall @t23 @t22)) % 1.12/1.34 (define @t25 () (not @t24)) % 1.12/1.34 (define @t26 () (tptp.u1_group_1 @t1)) % 1.12/1.34 (define @t27 () (tptp.u1_struct_0 @t1)) % 1.12/1.34 (define @t28 () (tptp.r2_hidden @t1 @t3)) % 1.12/1.34 (define @t29 () (@list @t1 @t3)) % 1.12/1.34 (define @t30 () (@var "C" $$unsorted)) % 1.12/1.34 (define @t31 () (tptp.v1_funct_2 @t30 @t1 @t3)) % 1.12/1.34 (define @t32 () (tptp.v1_funct_1 @t30)) % 1.12/1.34 (define @t33 () (and @t32 @t31)) % 1.12/1.34 (define @t34 () (tptp.v1_partfun1 @t30 @t1 @t3)) % 1.12/1.34 (define @t35 () (tptp.m1_relset_1 @t30 @t1 @t3)) % 1.12/1.34 (define @t36 () (@list @t1 @t3 @t30)) % 1.12/1.34 (define @t37 () (tptp.v1_relat_1 @t30)) % 1.12/1.34 (define @t38 () (tptp.k2_zfmisc_1 @t1 @t3)) % 1.12/1.34 (define @t39 () (tptp.m1_subset_1 @t30 (tptp.k1_zfmisc_1 @t38))) % 1.12/1.34 (define @t40 () (@list @t30)) % 1.12/1.34 (define @t41 () (tptp.v1_xboole_0 @t30)) % 1.12/1.34 (define @t42 () (tptp.v1_xboole_0 @t1)) % 1.12/1.34 (define @t43 () (not @t42)) % 1.12/1.34 (define @t44 () (and @t43 @t12)) % 1.12/1.34 (define @t45 () (tptp.r1_tarski @t1 @t3)) % 1.12/1.34 (define @t46 () (= @t1 @t3)) % 1.12/1.34 (define @t47 () (tptp.m1_group_2 @t30 @t1)) % 1.12/1.34 (define @t48 () (tptp.v1_group_1 @t30)) % 1.12/1.34 (define @t49 () (and @t48 @t47)) % 1.12/1.34 (define @t50 () (tptp.u1_struct_0 @t30)) % 1.12/1.34 (define @t51 () (= (tptp.k1_funct_1 @t3 @t30) @t50)) % 1.12/1.34 (define @t52 () (forall @t40 (=> @t49 @t51))) % 1.12/1.34 (define @t53 () (tptp.k1_latsubgr @t1)) % 1.12/1.34 (define @t54 () (= @t3 @t53)) % 1.12/1.34 (define @t55 () (= @t54 @t52)) % 1.12/1.34 (define @t56 () (tptp.k1_zfmisc_1 @t27)) % 1.12/1.34 (define @t57 () (tptp.m2_relset_1 @t3 @t8 @t56)) % 1.12/1.34 (define @t58 () (tptp.v1_funct_2 @t3 @t8 @t56)) % 1.12/1.34 (define @t59 () (tptp.v1_funct_1 @t3)) % 1.12/1.34 (define @t60 () (and @t59 @t58 @t57)) % 1.12/1.34 (define @t61 () (=> @t60 @t55)) % 1.12/1.34 (define @t62 () (forall @t14 @t61)) % 1.12/1.34 (define @t63 () (=> @t21 @t62)) % 1.12/1.34 (define @t64 () (forall @t23 @t63)) % 1.12/1.34 (define @t65 () (tptp.k6_setfam_1 @t27 (tptp.k2_funct_2 @t8 @t56 @t53 @t3))) % 1.12/1.34 (define @t66 () (= @t50 @t65)) % 1.12/1.34 (define @t67 () (= (= @t30 @t4) @t66)) % 1.12/1.34 (define @t68 () (=> @t49 @t67)) % 1.12/1.34 (define @t69 () (forall @t40 @t68)) % 1.12/1.34 (define @t70 () (=> @t13 @t69)) % 1.12/1.34 (define @t71 () (forall @t14 @t70)) % 1.12/1.34 (define @t72 () (=> @t21 @t71)) % 1.12/1.34 (define @t73 () (forall @t23 @t72)) % 1.12/1.34 (define @t74 () (tptp.u1_struct_0 @t3)) % 1.12/1.34 (define @t75 () (tptp.m1_group_2 @t3 @t1)) % 1.12/1.34 (define @t76 () (= @t75 (and (tptp.r1_tarski @t74 @t27) (= (tptp.u1_group_1 @t3) (tptp.k1_realset1 @t26 @t74))))) % 1.12/1.34 (define @t77 () (tptp.l1_group_1 @t3)) % 1.12/1.34 (define @t78 () (tptp.v3_group_1 @t3)) % 1.12/1.34 (define @t79 () (tptp.v3_struct_0 @t3)) % 1.12/1.34 (define @t80 () (not @t79)) % 1.12/1.34 (define @t81 () (and @t80 @t78 @t77)) % 1.12/1.34 (define @t82 () (forall @t14 (=> @t81 @t76))) % 1.12/1.34 (define @t83 () (and @t20 @t18 @t16)) % 1.12/1.34 (define @t84 () (=> @t83 @t82)) % 1.12/1.34 (define @t85 () (forall @t23 @t84)) % 1.12/1.34 (define @t86 () (tptp.k2_group_1 @t1)) % 1.12/1.34 (define @t87 () (tptp.k6_domain_1 @t27 @t86)) % 1.12/1.34 (define @t88 () (= (= @t3 @t2) (= @t74 @t87))) % 1.12/1.34 (define @t89 () (tptp.v1_group_1 @t3)) % 1.12/1.34 (define @t90 () (and @t89 @t75)) % 1.12/1.34 (define @t91 () (forall @t14 (=> @t90 @t88))) % 1.12/1.34 (define @t92 () (=> @t21 @t91)) % 1.12/1.34 (define @t93 () (forall @t23 @t92)) % 1.12/1.34 (define @t94 () (tptp.g1_group_1 @t1 @t3)) % 1.12/1.34 (define @t95 () (tptp.k2_zfmisc_1 @t1 @t1)) % 1.12/1.34 (define @t96 () (and @t59 (tptp.v1_funct_2 @t3 @t95 @t1) (tptp.m1_relset_1 @t3 @t95 @t1))) % 1.12/1.34 (define @t97 () (tptp.k5_finsub_1 @t1)) % 1.12/1.34 (define @t98 () (tptp.k18_group_2 @t1 @t3)) % 1.12/1.34 (define @t99 () (tptp.m1_subset_1 @t3 @t1)) % 1.12/1.34 (define @t100 () (and @t43 @t99)) % 1.12/1.34 (define @t101 () (and (tptp.v1_funct_1 @t53) (tptp.v1_funct_2 @t53 @t8 @t56) (tptp.m2_relset_1 @t53 @t8 @t56))) % 1.12/1.34 (define @t102 () (forall @t23 (=> @t21 @t101))) % 1.12/1.34 (define @t103 () (tptp.k1_zfmisc_1 @t3)) % 1.12/1.34 (define @t104 () (@var "D" $$unsorted)) % 1.12/1.34 (define @t105 () (tptp.k2_funct_2 @t1 @t3 @t30 @t104)) % 1.12/1.34 (define @t106 () (tptp.m1_subset_1 @t105 @t103)) % 1.12/1.34 (define @t107 () (and @t32 @t31 @t35)) % 1.12/1.34 (define @t108 () (@list @t1 @t3 @t30 @t104)) % 1.12/1.34 (define @t109 () (forall @t108 (=> @t107 @t106))) % 1.12/1.34 (define @t110 () (and (tptp.v1_group_1 @t4) (tptp.m1_group_2 @t4 @t1))) % 1.12/1.34 (define @t111 () (and @t20 @t18 @t17 @t16 @t12 @t10)) % 1.12/1.34 (define @t112 () (forall @t29 (=> @t111 @t110))) % 1.12/1.34 (define @t113 () (and (tptp.v1_group_1 @t2) (tptp.m1_group_2 @t2 @t1))) % 1.12/1.34 (define @t114 () (forall @t23 (=> @t21 @t113))) % 1.12/1.34 (define @t115 () (tptp.k1_zfmisc_1 @t1)) % 1.12/1.34 (define @t116 () (tptp.k6_domain_1 @t1 @t3)) % 1.12/1.34 (define @t117 () (tptp.k6_setfam_1 @t1 @t3)) % 1.12/1.34 (define @t118 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t115))) % 1.12/1.34 (define @t119 () (tptp.k8_funct_2 @t1 @t3 @t30 @t104)) % 1.12/1.34 (define @t120 () (and @t43 @t32 @t31 @t35 (tptp.m1_subset_1 @t104 @t1))) % 1.12/1.34 (define @t121 () (tptp.l1_struct_0 @t1)) % 1.12/1.34 (define @t122 () (forall @t14 (=> @t75 @t81))) % 1.12/1.34 (define @t123 () (=> @t83 @t122)) % 1.12/1.34 (define @t124 () (forall @t23 @t123)) % 1.12/1.34 (define @t125 () (tptp.m1_group_6 @t30 @t1 @t3)) % 1.12/1.34 (define @t126 () (and @t20 @t18 @t17 @t16 @t75)) % 1.12/1.34 (define @t127 () (tptp.m2_relset_1 @t30 @t1 @t3)) % 1.12/1.34 (define @t128 () (tptp.k2_zfmisc_1 @t27 @t27)) % 1.12/1.34 (define @t129 () (not (tptp.v1_xboole_0 @t8))) % 1.12/1.34 (define @t130 () (forall @t23 (=> @t21 @t129))) % 1.12/1.34 (define @t131 () (and @t20 @t121)) % 1.12/1.34 (define @t132 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.12/1.34 (define @t133 () (tptp.m1_subset_1 @t3 @t115)) % 1.12/1.34 (define @t134 () (tptp.k1_tarski @t3)) % 1.12/1.34 (define @t135 () (= @t105 (tptp.k9_relat_1 @t30 @t104))) % 1.12/1.34 (define @t136 () (forall @t108 (=> @t107 @t135))) % 1.12/1.34 (define @t137 () (tptp.k1_setfam_1 @t3)) % 1.12/1.34 (define @t138 () (= @t117 @t137)) % 1.12/1.34 (define @t139 () (forall @t29 (=> @t118 @t138))) % 1.12/1.34 (define @t140 () (forall @t36 (= @t127 @t35))) % 1.12/1.34 (define @t141 () (tptp.r1_group_2 @t1 @t3 @t30)) % 1.12/1.34 (define @t142 () (= @t141 (= @t3 @t30))) % 1.12/1.34 (define @t143 () (and @t20 @t18 @t17 @t16 @t89 @t75 @t48 @t47)) % 1.12/1.34 (define @t144 () (forall @t36 (=> @t143 @t142))) % 1.12/1.34 (define @t145 () (tptp.m1_subset_1 @t1 @t3)) % 1.12/1.34 (define @t146 () (or @t11 @t28)) % 1.12/1.34 (define @t147 () (forall @t29 (=> @t145 @t146))) % 1.12/1.34 (define @t148 () (tptp.k9_relat_1 @t104 @t30)) % 1.12/1.34 (define @t149 () (@var "E" $$unsorted)) % 1.12/1.34 (define @t150 () (tptp.r2_hidden @t149 @t148)) % 1.12/1.34 (define @t151 () (@var "F" $$unsorted)) % 1.12/1.34 (define @t152 () (= @t149 (tptp.k1_funct_1 @t104 @t151))) % 1.12/1.34 (define @t153 () (tptp.r2_hidden @t151 @t30)) % 1.12/1.34 (define @t154 () (tptp.r2_hidden @t151 @t1)) % 1.12/1.34 (define @t155 () (and @t154 @t153 @t152)) % 1.12/1.34 (define @t156 () (@list @t151)) % 1.12/1.34 (define @t157 () (exists @t156 @t155)) % 1.12/1.34 (define @t158 () (=> @t157 @t150)) % 1.12/1.34 (define @t159 () (@list @t149)) % 1.12/1.34 (define @t160 () (forall @t159 @t158)) % 1.12/1.34 (define @t161 () (= @t3 tptp.k1_xboole_0)) % 1.12/1.34 (define @t162 () (not @t161)) % 1.12/1.34 (define @t163 () (=> @t162 @t160)) % 1.12/1.34 (define @t164 () (tptp.m2_relset_1 @t104 @t1 @t3)) % 1.12/1.34 (define @t165 () (tptp.v1_funct_2 @t104 @t1 @t3)) % 1.12/1.34 (define @t166 () (tptp.v1_funct_1 @t104)) % 1.12/1.34 (define @t167 () (and @t166 @t165 @t164)) % 1.12/1.34 (define @t168 () (=> @t167 @t163)) % 1.12/1.34 (define @t169 () (forall @t108 @t168)) % 1.12/1.34 (define @t170 () (tptp.r1_tarski @t137 @t1)) % 1.12/1.34 (define @t171 () (forall @t29 (=> @t28 @t170))) % 1.12/1.34 (define @t172 () (tptp.m1_subset_1 @t1 @t30)) % 1.12/1.34 (define @t173 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t30))) % 1.12/1.34 (define @t174 () (and @t28 @t173)) % 1.12/1.34 (define @t175 () (forall @t36 (=> @t174 @t172))) % 1.12/1.34 (define @t176 () (tptp.m1_group_2 @t2 @t3)) % 1.12/1.34 (define @t177 () (forall @t14 (=> @t75 @t176))) % 1.12/1.34 (define @t178 () (=> @t21 @t177)) % 1.12/1.34 (define @t179 () (forall @t23 @t178)) % 1.12/1.34 (define @t180 () (@var "BOUND_VARIABLE_8071" $$unsorted)) % 1.12/1.34 (define @t181 () (tptp.k2_latsubgr @t1 @t180)) % 1.12/1.34 (define @t182 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 1.12/1.34 (define @t183 () (= @t182 @t181)) % 1.12/1.34 (define @t184 () (= (tptp.k6_setfam_1 @t27 (tptp.k2_funct_2 @t8 @t56 @t53 @t180)) (tptp.u1_struct_0 @t182))) % 1.12/1.34 (define @t185 () (= (= @t181 @t182) @t184)) % 1.12/1.34 (define @t186 () (not (tptp.m1_group_2 @t182 @t1))) % 1.12/1.34 (define @t187 () (not (tptp.v1_group_1 @t182))) % 1.12/1.34 (define @t188 () (not (tptp.m1_subset_1 @t180 @t9))) % 1.12/1.34 (define @t189 () (tptp.v1_xboole_0 @t180)) % 1.12/1.34 (define @t190 () (not @t16)) % 1.12/1.34 (define @t191 () (not @t17)) % 1.12/1.34 (define @t192 () (not @t18)) % 1.12/1.34 (define @t193 () (or @t19 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185)) % 1.12/1.34 (define @t194 () (or @t189 @t188 @t187 @t186 @t185)) % 1.12/1.34 (define @t195 () (or @t19 @t192 @t191 @t190 @t194)) % 1.12/1.34 (define @t196 () (@list @t1 @t180 @t182)) % 1.12/1.34 (define @t197 () (forall @t196 @t195)) % 1.12/1.34 (define @t198 () (@list @t180 @t182)) % 1.12/1.34 (define @t199 () (forall @t198 @t195)) % 1.12/1.34 (define @t200 () (forall @t198 @t194)) % 1.12/1.34 (define @t201 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 1.12/1.34 (define @t202 () (or @t19 @t192 @t191 @t190 @t200)) % 1.12/1.34 (define @t203 () (tptp.u1_struct_0 @t201)) % 1.12/1.34 (define @t204 () (= @t65 @t203)) % 1.12/1.34 (define @t205 () (= @t4 @t201)) % 1.12/1.34 (define @t206 () (not (tptp.m1_group_2 @t201 @t1))) % 1.12/1.34 (define @t207 () (not (tptp.v1_group_1 @t201))) % 1.12/1.34 (define @t208 () (not @t10)) % 1.12/1.34 (define @t209 () (@list @t3 @t201)) % 1.12/1.34 (define @t210 () (forall @t209 (or @t11 @t208 @t207 @t206 (= @t205 @t204)))) % 1.12/1.34 (define @t211 () (or @t19 @t192 @t191 @t190 @t210)) % 1.12/1.34 (define @t212 () (or @t19 @t192 @t191 @t190)) % 1.12/1.34 (define @t213 () (not @t20)) % 1.12/1.34 (define @t214 () (or @t213 @t192 @t191 @t190)) % 1.12/1.34 (define @t215 () (not @t21)) % 1.12/1.34 (define @t216 () (= (= @t203 @t65) @t205)) % 1.12/1.34 (define @t217 () (or @t11 @t208 @t207 @t206 @t216)) % 1.12/1.34 (define @t218 () (or @t207 @t206 @t216)) % 1.12/1.34 (define @t219 () (or @t11 @t208 @t218)) % 1.12/1.34 (define @t220 () (forall @t209 @t219)) % 1.12/1.34 (define @t221 () (@list @t201)) % 1.12/1.34 (define @t222 () (forall @t221 @t219)) % 1.12/1.34 (define @t223 () (forall @t221 @t218)) % 1.12/1.34 (define @t224 () (or @t11 @t208 @t223)) % 1.12/1.34 (define @t225 () (= @t4 @t30)) % 1.12/1.34 (define @t226 () (= @t66 @t225)) % 1.12/1.34 (define @t227 () (not @t47)) % 1.12/1.34 (define @t228 () (not @t48)) % 1.12/1.34 (define @t229 () (or @t228 @t227 @t226)) % 1.12/1.34 (define @t230 () (forall @t40 @t229)) % 1.12/1.34 (define @t231 () (or @t11 @t208 @t230)) % 1.12/1.34 (define @t232 () (or @t11 @t208)) % 1.12/1.34 (define @t233 () (not @t12)) % 1.12/1.34 (define @t234 () (or @t233 @t208)) % 1.12/1.34 (define @t235 () (not @t13)) % 1.12/1.34 (define @t236 () (or @t228 @t227)) % 1.12/1.34 (define @t237 () (not @t49)) % 1.12/1.34 (define @t238 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 1.12/1.34 (define @t239 () (tptp.r1_group_2 @t1 (tptp.k2_latsubgr @t1 @t238) @t2)) % 1.12/1.34 (define @t240 () (not (tptp.r2_hidden @t2 @t238))) % 1.12/1.34 (define @t241 () (not (tptp.m1_subset_1 @t238 @t9))) % 1.12/1.34 (define @t242 () (tptp.v1_xboole_0 @t238)) % 1.12/1.34 (define @t243 () (or @t19 @t192 @t191 @t190 @t242 @t241 @t240 @t239)) % 1.12/1.34 (define @t244 () (@list @t1 @t238)) % 1.12/1.34 (define @t245 () (forall @t244 @t243)) % 1.12/1.34 (define @t246 () (@quantifiers_skolemize @t245 1)) % 1.12/1.34 (define @t247 () (@quantifiers_skolemize @t245 0)) % 1.12/1.34 (define @t248 () (tptp.k1_latsubgr @t247)) % 1.12/1.34 (define @t249 () (tptp.u1_struct_0 @t247)) % 1.12/1.34 (define @t250 () (tptp.k1_zfmisc_1 @t249)) % 1.12/1.34 (define @t251 () (tptp.k1_group_3 @t247)) % 1.12/1.34 (define @t252 () (tptp.k2_funct_2 @t251 @t250 @t248 @t246)) % 1.12/1.34 (define @t253 () (tptp.k6_setfam_1 @t249 @t252)) % 1.12/1.34 (define @t254 () (tptp.k2_latsubgr @t247 @t246)) % 1.12/1.34 (define @t255 () (tptp.u1_struct_0 @t254)) % 1.12/1.34 (define @t256 () (= @t255 @t253)) % 1.12/1.34 (define @t257 () (= (= @t253 @t255) (= @t254 @t254))) % 1.12/1.34 (define @t258 () (tptp.m1_group_2 @t254 @t247)) % 1.12/1.34 (define @t259 () (not @t258)) % 1.12/1.34 (define @t260 () (tptp.v1_group_1 @t254)) % 1.12/1.34 (define @t261 () (not @t260)) % 1.12/1.34 (define @t262 () (tptp.m1_subset_1 @t246 (tptp.k1_zfmisc_1 @t251))) % 1.12/1.34 (define @t263 () (not @t262)) % 1.12/1.34 (define @t264 () (tptp.v1_xboole_0 @t246)) % 1.12/1.34 (define @t265 () (tptp.l1_group_1 @t247)) % 1.12/1.34 (define @t266 () (not @t265)) % 1.12/1.34 (define @t267 () (tptp.v4_group_1 @t247)) % 1.12/1.34 (define @t268 () (not @t267)) % 1.12/1.34 (define @t269 () (tptp.v3_group_1 @t247)) % 1.12/1.34 (define @t270 () (not @t269)) % 1.12/1.34 (define @t271 () (tptp.v3_struct_0 @t247)) % 1.12/1.34 (define @t272 () (or @t271 @t270 @t268 @t266 @t264 @t263 @t261 @t259 @t257)) % 1.12/1.34 (define @t273 () (forall @t196 (or @t19 @t192 @t191 @t190 @t189 @t188 @t187 @t186 (= @t184 @t183)))) % 1.12/1.34 (define @t274 () (or @t271 @t270 @t268 @t266 @t264 @t263 @t261 @t259 @t256)) % 1.12/1.34 (define @t275 () (@list false)) % 1.12/1.34 (define @t276 () (or @t213 @t192 @t191 @t190 @t233 @t208)) % 1.12/1.34 (define @t277 () (or @t242 @t241 @t240 @t239)) % 1.12/1.34 (define @t278 () (or @t19 @t192 @t191 @t190 @t277)) % 1.12/1.34 (define @t279 () (forall @t244 @t278)) % 1.12/1.34 (define @t280 () (@list @t238)) % 1.12/1.34 (define @t281 () (forall @t280 @t278)) % 1.12/1.34 (define @t282 () (forall @t280 @t277)) % 1.12/1.34 (define @t283 () (@list @t3)) % 1.12/1.34 (define @t284 () (or @t19 @t192 @t191 @t190 @t282)) % 1.12/1.34 (define @t285 () (not @t6)) % 1.12/1.34 (define @t286 () (or @t11 @t208 @t285 @t5)) % 1.12/1.34 (define @t287 () (forall @t14 @t286)) % 1.12/1.34 (define @t288 () (or @t19 @t192 @t191 @t190 @t287)) % 1.12/1.34 (define @t289 () (tptp.k5_group_2 @t247)) % 1.12/1.34 (define @t290 () (tptp.r1_group_2 @t247 @t254 @t289)) % 1.12/1.34 (define @t291 () (tptp.r2_hidden @t289 @t246)) % 1.12/1.34 (define @t292 () (not @t291)) % 1.12/1.34 (define @t293 () (or @t271 @t270 @t268 @t266 @t264 @t263 @t292 @t290)) % 1.12/1.34 (define @t294 () (@list true)) % 1.12/1.34 (define @t295 () (@list @t293)) % 1.12/1.34 (define @t296 () (and @t260 @t258)) % 1.12/1.34 (define @t297 () (or @t271 @t270 @t268 @t266 @t264 @t263 @t296)) % 1.12/1.34 (define @t298 () (not @t296)) % 1.12/1.34 (define @t299 () (@list @t296)) % 1.12/1.34 (define @t300 () (not @t35)) % 1.12/1.34 (define @t301 () (not @t31)) % 1.12/1.34 (define @t302 () (not @t32)) % 1.12/1.34 (define @t303 () (or @t302 @t301 @t300)) % 1.12/1.34 (define @t304 () (not @t107)) % 1.12/1.34 (define @t305 () (@list @t251 @t250 @t248 @t246)) % 1.12/1.34 (define @t306 () (tptp.m1_relset_1 @t248 @t251 @t250)) % 1.12/1.34 (define @t307 () (tptp.m2_relset_1 @t248 @t251 @t250)) % 1.12/1.34 (define @t308 () (forall @t36 (= @t35 @t127))) % 1.12/1.34 (define @t309 () (= @t306 @t307)) % 1.12/1.34 (define @t310 () (= @t307 @t306)) % 1.12/1.34 (define @t311 () (@list @t247)) % 1.12/1.34 (define @t312 () (tptp.v1_funct_2 @t248 @t251 @t250)) % 1.12/1.34 (define @t313 () (tptp.v1_funct_1 @t248)) % 1.12/1.34 (define @t314 () (and @t313 @t312 @t307)) % 1.12/1.34 (define @t315 () (or @t271 @t270 @t268 @t266 @t314)) % 1.12/1.34 (define @t316 () (@list true false false false false)) % 1.12/1.34 (define @t317 () (not @t314)) % 1.12/1.34 (define @t318 () (@list @t314)) % 1.12/1.34 (define @t319 () (not @t307)) % 1.12/1.34 (define @t320 () (@list false false)) % 1.12/1.34 (define @t321 () (tptp.k9_relat_1 @t248 @t246)) % 1.12/1.34 (define @t322 () (= @t252 @t321)) % 1.12/1.34 (define @t323 () (not @t306)) % 1.12/1.34 (define @t324 () (not @t312)) % 1.12/1.34 (define @t325 () (not @t313)) % 1.12/1.34 (define @t326 () (or @t325 @t324 @t323 @t322)) % 1.12/1.34 (define @t327 () (@list false false false false)) % 1.12/1.34 (define @t328 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 1.12/1.34 (define @t329 () (tptp.k1_funct_1 @t328 @t30)) % 1.12/1.34 (define @t330 () (or @t228 @t227 (= @t329 @t50))) % 1.12/1.34 (define @t331 () (forall @t40 @t330)) % 1.12/1.34 (define @t332 () (= (= @t328 @t53) @t331)) % 1.12/1.34 (define @t333 () (not (tptp.m2_relset_1 @t328 @t8 @t56))) % 1.12/1.34 (define @t334 () (not (tptp.v1_funct_2 @t328 @t8 @t56))) % 1.12/1.34 (define @t335 () (not (tptp.v1_funct_1 @t328))) % 1.12/1.34 (define @t336 () (or @t19 @t192 @t191 @t190 @t335 @t334 @t333 @t332)) % 1.12/1.34 (define @t337 () (or @t335 @t334 @t333 @t332)) % 1.12/1.34 (define @t338 () (or @t19 @t192 @t191 @t190 @t337)) % 1.12/1.34 (define @t339 () (@list @t1 @t328)) % 1.12/1.34 (define @t340 () (forall @t339 @t338)) % 1.12/1.34 (define @t341 () (@list @t328)) % 1.12/1.34 (define @t342 () (forall @t341 @t338)) % 1.12/1.34 (define @t343 () (forall @t341 @t337)) % 1.12/1.34 (define @t344 () (or @t19 @t192 @t191 @t190 @t343)) % 1.12/1.34 (define @t345 () (or @t228 @t227 @t51)) % 1.12/1.34 (define @t346 () (= @t54 (forall @t40 @t345))) % 1.12/1.34 (define @t347 () (not @t57)) % 1.12/1.34 (define @t348 () (not @t58)) % 1.12/1.34 (define @t349 () (not @t59)) % 1.12/1.34 (define @t350 () (or @t349 @t348 @t347 @t346)) % 1.12/1.34 (define @t351 () (forall @t14 @t350)) % 1.12/1.34 (define @t352 () (or @t19 @t192 @t191 @t190 @t351)) % 1.12/1.34 (define @t353 () (or @t349 @t348 @t347)) % 1.12/1.34 (define @t354 () (forall @t40 (or @t228 (not (tptp.m1_group_2 @t30 @t247)) (= @t50 (tptp.k1_funct_1 @t248 @t30))))) % 1.12/1.34 (define @t355 () (= (= @t248 @t248) @t354)) % 1.12/1.34 (define @t356 () (or @t271 @t270 @t268 @t266 @t325 @t324 @t319 @t355)) % 1.12/1.34 (define @t357 () (forall @t339 (or @t19 @t192 @t191 @t190 @t335 @t334 @t333 (= (= @t53 @t328) (forall @t40 (or @t228 @t227 (= @t50 @t329))))))) % 1.12/1.34 (define @t358 () (or @t271 @t270 @t268 @t266 @t325 @t324 @t319 @t354)) % 1.12/1.34 (define @t359 () (tptp.m1_group_2 @t289 @t247)) % 1.12/1.34 (define @t360 () (tptp.v1_group_1 @t289)) % 1.12/1.34 (define @t361 () (and @t360 @t359)) % 1.12/1.34 (define @t362 () (or @t271 @t270 @t268 @t266 @t361)) % 1.12/1.34 (define @t363 () (not @t361)) % 1.12/1.34 (define @t364 () (@list @t361)) % 1.12/1.34 (define @t365 () (tptp.k1_funct_1 @t248 @t289)) % 1.12/1.34 (define @t366 () (tptp.u1_struct_0 @t289)) % 1.12/1.34 (define @t367 () (= @t366 @t365)) % 1.12/1.34 (define @t368 () (not @t359)) % 1.12/1.34 (define @t369 () (not @t360)) % 1.12/1.34 (define @t370 () (or @t369 @t368 @t367)) % 1.12/1.34 (define @t371 () (@list false false false)) % 1.12/1.34 (define @t372 () (tptp.m1_subset_1 @t252 (tptp.k1_zfmisc_1 @t250))) % 1.12/1.34 (define @t373 () (or @t325 @t324 @t323 @t372)) % 1.12/1.34 (define @t374 () (tptp.k1_setfam_1 @t252)) % 1.12/1.34 (define @t375 () (= @t253 @t374)) % 1.12/1.34 (define @t376 () (not @t372)) % 1.12/1.34 (define @t377 () (or @t376 @t375)) % 1.12/1.34 (define @t378 () (= @t366 @t255)) % 1.12/1.34 (define @t379 () (= @t255 @t366)) % 1.12/1.34 (define @t380 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 1.12/1.34 (define @t381 () (tptp.u1_struct_0 @t380)) % 1.12/1.34 (define @t382 () (= (= @t380 @t2) (= @t381 @t87))) % 1.12/1.34 (define @t383 () (not (tptp.m1_group_2 @t380 @t1))) % 1.12/1.34 (define @t384 () (not (tptp.v1_group_1 @t380))) % 1.12/1.34 (define @t385 () (or @t19 @t192 @t191 @t190 @t384 @t383 @t382)) % 1.12/1.34 (define @t386 () (or @t384 @t383 @t382)) % 1.12/1.34 (define @t387 () (or @t19 @t192 @t191 @t190 @t386)) % 1.12/1.34 (define @t388 () (@list @t1 @t380)) % 1.12/1.34 (define @t389 () (forall @t388 @t387)) % 1.12/1.34 (define @t390 () (@list @t380)) % 1.12/1.34 (define @t391 () (forall @t390 @t387)) % 1.12/1.34 (define @t392 () (forall @t390 @t386)) % 1.12/1.34 (define @t393 () (or @t19 @t192 @t191 @t190 @t392)) % 1.12/1.34 (define @t394 () (not @t75)) % 1.12/1.34 (define @t395 () (not @t89)) % 1.12/1.34 (define @t396 () (or @t395 @t394 @t88)) % 1.12/1.34 (define @t397 () (forall @t14 @t396)) % 1.12/1.34 (define @t398 () (or @t19 @t192 @t191 @t190 @t397)) % 1.12/1.34 (define @t399 () (tptp.k6_domain_1 @t249 (tptp.k2_group_1 @t247))) % 1.12/1.34 (define @t400 () (= @t289 @t254)) % 1.12/1.34 (define @t401 () (= @t400 (= @t399 @t255))) % 1.12/1.34 (define @t402 () (or @t271 @t270 @t268 @t266 @t261 @t259 @t401)) % 1.12/1.34 (define @t403 () (forall @t388 (or @t19 @t192 @t191 @t190 @t384 @t383 (= (= @t2 @t380) (= @t87 @t381))))) % 1.12/1.34 (define @t404 () (@list @t247 @t254)) % 1.12/1.34 (define @t405 () (= @t255 @t399)) % 1.12/1.34 (define @t406 () (= @t400 @t405)) % 1.12/1.34 (define @t407 () (or @t271 @t270 @t268 @t266 @t261 @t259 @t406)) % 1.12/1.34 (define @t408 () (@list @t403)) % 1.12/1.34 (define @t409 () (@list true false false false false false false)) % 1.12/1.34 (define @t410 () (or @t19 @t192 @t191 @t190 @t395 @t394 @t228 @t227 @t142)) % 1.12/1.34 (define @t411 () (or @t213 @t192 @t191 @t190 @t395 @t394 @t228 @t227)) % 1.12/1.34 (define @t412 () (= @t290 (= @t254 @t289))) % 1.12/1.34 (define @t413 () (or @t271 @t270 @t268 @t266 @t261 @t259 @t369 @t368 @t412)) % 1.12/1.34 (define @t414 () (forall @t36 @t410)) % 1.12/1.34 (define @t415 () (= @t290 @t400)) % 1.12/1.34 (define @t416 () (or @t271 @t270 @t268 @t266 @t261 @t259 @t369 @t368 @t415)) % 1.12/1.34 (define @t417 () (not @t400)) % 1.12/1.34 (define @t418 () (@list true false)) % 1.12/1.34 (define @t419 () (not @t405)) % 1.12/1.34 (define @t420 () (= @t366 @t399)) % 1.12/1.34 (define @t421 () (= (= @t289 @t289) (= @t399 @t366))) % 1.12/1.34 (define @t422 () (or @t271 @t270 @t268 @t266 @t369 @t368 @t421)) % 1.12/1.34 (define @t423 () (@list @t247 @t289)) % 1.12/1.34 (define @t424 () (or @t271 @t270 @t268 @t266 @t369 @t368 @t420)) % 1.12/1.34 (define @t425 () (tptp.r1_tarski @t255 @t366)) % 1.12/1.34 (define @t426 () (tptp.r1_tarski @t366 @t255)) % 1.12/1.34 (define @t427 () (and @t426 @t425)) % 1.12/1.34 (define @t428 () (= @t378 @t427)) % 1.12/1.34 (define @t429 () (not @t427)) % 1.12/1.34 (define @t430 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 1.12/1.34 (define @t431 () (tptp.u1_struct_0 @t430)) % 1.12/1.34 (define @t432 () (= (tptp.m1_group_2 @t430 @t1) (and (tptp.r1_tarski @t431 @t27) (= (tptp.u1_group_1 @t430) (tptp.k1_realset1 @t26 @t431))))) % 1.12/1.34 (define @t433 () (not (tptp.l1_group_1 @t430))) % 1.12/1.34 (define @t434 () (not (tptp.v3_group_1 @t430))) % 1.12/1.34 (define @t435 () (tptp.v3_struct_0 @t430)) % 1.12/1.34 (define @t436 () (or @t435 @t434 @t433 @t432)) % 1.12/1.34 (define @t437 () (or @t19 @t192 @t190 @t436)) % 1.12/1.34 (define @t438 () (forall (@list @t1 @t430) @t437)) % 1.12/1.34 (define @t439 () (@list @t430)) % 1.12/1.34 (define @t440 () (forall @t439 @t437)) % 1.12/1.34 (define @t441 () (forall @t439 @t436)) % 1.12/1.34 (define @t442 () (or @t19 @t192 @t190 @t441)) % 1.12/1.34 (define @t443 () (not @t77)) % 1.12/1.34 (define @t444 () (not @t78)) % 1.12/1.34 (define @t445 () (or @t79 @t444 @t443 @t76)) % 1.12/1.34 (define @t446 () (forall @t14 @t445)) % 1.12/1.34 (define @t447 () (or @t19 @t192 @t190 @t446)) % 1.12/1.34 (define @t448 () (or @t19 @t192 @t190)) % 1.12/1.34 (define @t449 () (or @t213 @t192 @t190)) % 1.12/1.34 (define @t450 () (not @t83)) % 1.12/1.34 (define @t451 () (not @t80)) % 1.12/1.34 (define @t452 () (or @t451 @t444 @t443)) % 1.12/1.34 (define @t453 () (@var "BOUND_VARIABLE_8221" $$unsorted)) % 1.12/1.34 (define @t454 () (and (not (tptp.v3_struct_0 @t453)) (tptp.v3_group_1 @t453) (tptp.l1_group_1 @t453))) % 1.12/1.34 (define @t455 () (not (tptp.m1_group_2 @t453 @t1))) % 1.12/1.34 (define @t456 () (or @t455 @t454)) % 1.12/1.34 (define @t457 () (or @t19 @t192 @t190 @t456)) % 1.12/1.34 (define @t458 () (forall (@list @t1 @t453) @t457)) % 1.12/1.34 (define @t459 () (@list @t453)) % 1.12/1.34 (define @t460 () (forall @t459 @t457)) % 1.12/1.34 (define @t461 () (forall @t459 @t456)) % 1.12/1.34 (define @t462 () (or @t19 @t192 @t190 @t461)) % 1.12/1.34 (define @t463 () (forall @t14 (or @t394 @t81))) % 1.12/1.34 (define @t464 () (or @t19 @t192 @t190 @t463)) % 1.12/1.34 (define @t465 () (tptp.l1_group_1 @t254)) % 1.12/1.34 (define @t466 () (tptp.v3_group_1 @t254)) % 1.12/1.34 (define @t467 () (tptp.v3_struct_0 @t254)) % 1.12/1.34 (define @t468 () (not @t467)) % 1.12/1.34 (define @t469 () (and @t468 @t466 @t465)) % 1.12/1.34 (define @t470 () (or @t271 @t270 @t266 @t259 @t469)) % 1.12/1.34 (define @t471 () (not @t469)) % 1.12/1.34 (define @t472 () (@list @t469)) % 1.12/1.34 (define @t473 () (tptp.l1_group_1 @t289)) % 1.12/1.34 (define @t474 () (tptp.v3_group_1 @t289)) % 1.12/1.34 (define @t475 () (tptp.v3_struct_0 @t289)) % 1.12/1.34 (define @t476 () (not @t475)) % 1.12/1.34 (define @t477 () (and @t476 @t474 @t473)) % 1.12/1.34 (define @t478 () (or @t271 @t270 @t266 @t368 @t477)) % 1.12/1.34 (define @t479 () (not @t477)) % 1.12/1.34 (define @t480 () (@list @t477)) % 1.12/1.34 (define @t481 () (and @t426 (= (tptp.u1_group_1 @t289) (tptp.k1_realset1 (tptp.u1_group_1 @t254) @t366)))) % 1.12/1.34 (define @t482 () (tptp.m1_group_2 @t289 @t254)) % 1.12/1.34 (define @t483 () (= @t482 @t481)) % 1.12/1.34 (define @t484 () (not @t473)) % 1.12/1.34 (define @t485 () (not @t474)) % 1.12/1.34 (define @t486 () (not @t465)) % 1.12/1.34 (define @t487 () (not @t466)) % 1.12/1.34 (define @t488 () (or @t467 @t487 @t486 @t475 @t485 @t484 @t483)) % 1.12/1.34 (define @t489 () (@var "BOUND_VARIABLE_8536" $$unsorted)) % 1.12/1.34 (define @t490 () (tptp.m1_group_2 @t2 @t489)) % 1.12/1.34 (define @t491 () (not (tptp.m1_group_2 @t489 @t1))) % 1.12/1.34 (define @t492 () (or @t491 @t490)) % 1.12/1.34 (define @t493 () (or @t19 @t192 @t191 @t190 @t492)) % 1.12/1.34 (define @t494 () (forall (@list @t1 @t489) @t493)) % 1.12/1.34 (define @t495 () (@list @t489)) % 1.12/1.34 (define @t496 () (forall @t495 @t493)) % 1.12/1.34 (define @t497 () (forall @t495 @t492)) % 1.12/1.34 (define @t498 () (or @t19 @t192 @t191 @t190 @t497)) % 1.12/1.34 (define @t499 () (forall @t14 (or @t394 @t176))) % 1.12/1.34 (define @t500 () (or @t19 @t192 @t191 @t190 @t499)) % 1.12/1.34 (define @t501 () (or @t271 @t270 @t268 @t266 @t259 @t482)) % 1.12/1.34 (define @t502 () (not @t425)) % 1.12/1.34 (define @t503 () (@list false true)) % 1.12/1.34 (define @t504 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 1.12/1.34 (define @t505 () (not (tptp.r2_hidden @t504 @t30))) % 1.12/1.34 (define @t506 () (not (tptp.r2_hidden @t504 @t1))) % 1.12/1.34 (define @t507 () (tptp.r2_hidden (tptp.k1_funct_1 @t104 @t504) @t148)) % 1.12/1.34 (define @t508 () (not @t164)) % 1.12/1.34 (define @t509 () (not @t165)) % 1.12/1.34 (define @t510 () (not @t166)) % 1.12/1.34 (define @t511 () (or @t510 @t509 @t508 @t161 @t507 @t506 @t505)) % 1.12/1.34 (define @t512 () (or @t507 @t506 @t505)) % 1.12/1.34 (define @t513 () (or @t510 @t509 @t508 @t161 @t512)) % 1.12/1.34 (define @t514 () (@list @t1 @t3 @t30 @t104 @t504)) % 1.12/1.34 (define @t515 () (forall @t514 @t513)) % 1.12/1.34 (define @t516 () (@list @t504)) % 1.12/1.34 (define @t517 () (forall @t516 @t513)) % 1.12/1.34 (define @t518 () (forall @t516 @t512)) % 1.12/1.34 (define @t519 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 1.12/1.34 (define @t520 () (@list @t519)) % 1.12/1.34 (define @t521 () (or @t510 @t509 @t508 @t161 @t518)) % 1.12/1.34 (define @t522 () (not (tptp.r2_hidden @t519 @t30))) % 1.12/1.34 (define @t523 () (not (tptp.r2_hidden @t519 @t1))) % 1.12/1.34 (define @t524 () (tptp.k1_funct_1 @t104 @t519)) % 1.12/1.34 (define @t525 () (tptp.r2_hidden @t524 @t148)) % 1.12/1.34 (define @t526 () (or @t525 @t523 @t522)) % 1.12/1.34 (define @t527 () (@list @t519)) % 1.12/1.34 (define @t528 () (forall @t527 @t526)) % 1.12/1.34 (define @t529 () (or @t510 @t509 @t508 @t161 @t528)) % 1.12/1.34 (define @t530 () (or @t510 @t509 @t508)) % 1.12/1.34 (define @t531 () (=> @t162 @t528)) % 1.12/1.34 (define @t532 () (not (= @t524 @t524))) % 1.12/1.34 (define @t533 () (or @t525 @t523 @t522 @t532)) % 1.12/1.34 (define @t534 () (not (= @t149 @t524))) % 1.12/1.34 (define @t535 () (or @t534 @t150 @t523 @t522 @t534)) % 1.12/1.34 (define @t536 () (or @t150 @t523 @t522 @t534)) % 1.12/1.34 (define @t537 () (forall @t159 @t536)) % 1.12/1.34 (define @t538 () (forall @t527 @t537)) % 1.12/1.34 (define @t539 () (forall (@list @t519 @t149) @t536)) % 1.12/1.34 (define @t540 () (@list @t149 @t519)) % 1.12/1.34 (define @t541 () (or @t523 @t522 @t534)) % 1.12/1.34 (define @t542 () (or @t541 @t150)) % 1.12/1.34 (define @t543 () (forall @t540 @t542)) % 1.12/1.34 (define @t544 () (forall @t527 @t542)) % 1.12/1.34 (define @t545 () (forall @t527 @t541)) % 1.12/1.34 (define @t546 () (or @t545 @t150)) % 1.12/1.34 (define @t547 () (not @t152)) % 1.12/1.34 (define @t548 () (not @t153)) % 1.12/1.34 (define @t549 () (not @t154)) % 1.12/1.34 (define @t550 () (or @t549 @t548 @t547)) % 1.12/1.34 (define @t551 () (forall @t156 @t550)) % 1.12/1.34 (define @t552 () (not @t551)) % 1.12/1.34 (define @t553 () (forall @t156 (not @t155))) % 1.12/1.34 (define @t554 () (not @t553)) % 1.12/1.34 (define @t555 () (tptp.r2_hidden @t289 @t251)) % 1.12/1.34 (define @t556 () (not @t555)) % 1.12/1.34 (define @t557 () (tptp.r2_hidden @t365 @t321)) % 1.12/1.34 (define @t558 () (or @t325 @t324 @t319 (= @t250 tptp.k1_xboole_0) @t557 @t556 @t292)) % 1.12/1.34 (define @t559 () (forall @t514 @t511)) % 1.12/1.34 (define @t560 () (= tptp.k1_xboole_0 @t250)) % 1.12/1.34 (define @t561 () (or @t325 @t324 @t319 @t560 @t557 @t556 @t292)) % 1.12/1.34 (define @t562 () (not @t560)) % 1.12/1.34 (define @t563 () (tptp.v1_xboole_0 @t250)) % 1.12/1.34 (define @t564 () (not @t132)) % 1.12/1.34 (define @t565 () (not @t563)) % 1.12/1.34 (define @t566 () (= false true)) % 1.12/1.34 (define @t567 () (and @t132 @t560 @t565)) % 1.12/1.34 (define @t568 () (not @t145)) % 1.12/1.34 (define @t569 () (not @t173)) % 1.12/1.34 (define @t570 () (not @t28)) % 1.12/1.34 (define @t571 () (tptp.m1_subset_1 @t289 @t251)) % 1.12/1.34 (define @t572 () (or @t292 @t263 @t571)) % 1.12/1.34 (define @t573 () (tptp.v1_xboole_0 @t251)) % 1.12/1.34 (define @t574 () (not @t573)) % 1.12/1.34 (define @t575 () (or @t271 @t270 @t268 @t266 @t574)) % 1.12/1.34 (define @t576 () (not @t571)) % 1.12/1.34 (define @t577 () (or @t576 @t573 @t555)) % 1.12/1.34 (define @t578 () (tptp.r1_tarski (tptp.k1_setfam_1 @t321) @t365)) % 1.12/1.34 (define @t579 () (not @t557)) % 1.12/1.34 (define @t580 () (or @t579 @t578)) % 1.12/1.34 (define @t581 () (not @t578)) % 1.12/1.34 (define @t582 () (not @t367)) % 1.12/1.34 (define @t583 () (not @t375)) % 1.12/1.34 (define @t584 () (not @t322)) % 1.12/1.34 (define @t585 () (not @t256)) % 1.12/1.34 (define @t586 () (and @t578 @t322 @t375 @t256 @t367 @t502)) % 1.12/1.34 (assume @p1 @t25) % 1.12/1.34 (assume @p2 (forall @t23 (=> @t16 (=> (tptp.v1_group_1 @t1) (= @t1 (tptp.g1_group_1 @t27 @t26)))))) % 1.12/1.34 (assume @p3 (forall @t29 (=> @t28 (not (tptp.r2_hidden @t3 @t1))))) % 1.12/1.34 (assume @p4 (forall @t36 (=> @t35 (=> (and @t32 @t34) @t33)))) % 1.12/1.34 (assume @p5 (forall @t36 (=> @t39 @t37))) % 1.12/1.34 (assume @p6 (forall @t29 (=> @t12 (forall @t40 (=> @t35 (=> @t33 (and @t32 @t34 @t31))))))) % 1.12/1.34 (assume @p7 (forall @t29 (=> @t44 (forall @t40 (=> @t35 (=> @t33 (and @t32 (not @t41) @t34 @t31))))))) % 1.12/1.34 (assume @p8 (forall @t29 (= @t46 (and @t45 (tptp.r1_tarski @t3 @t1))))) % 1.12/1.34 (assume @p9 (forall @t23 (=> @t21 (forall @t14 (= (= @t3 @t8) (forall @t40 (= (tptp.r2_hidden @t30 @t3) @t49))))))) % 1.12/1.34 (assume @p10 @t64) % 1.12/1.34 (assume @p11 @t73) % 1.12/1.34 (assume @p12 @t85) % 1.12/1.34 (assume @p13 @t93) % 1.12/1.34 (assume @p14 (forall @t29 (=> @t96 (and (tptp.v1_group_1 @t94) (tptp.l1_group_1 @t94))))) % 1.12/1.34 (assume @p15 (forall @t29 (=> @t100 (tptp.m1_subset_1 @t98 @t97)))) % 1.12/1.34 (assume @p16 true) % 1.12/1.34 (assume @p17 @t102) % 1.12/1.34 (assume @p18 @t109) % 1.12/1.34 (assume @p19 (forall @t23 (=> (and @t20 @t16) (tptp.m1_subset_1 @t86 @t27)))) % 1.12/1.34 (assume @p20 @t112) % 1.12/1.34 (assume @p21 (forall @t23 (tptp.v4_finsub_1 @t97))) % 1.12/1.34 (assume @p22 @t114) % 1.12/1.34 (assume @p23 (forall @t29 (=> @t100 (tptp.m1_subset_1 @t116 @t115)))) % 1.12/1.34 (assume @p24 (forall @t29 (=> @t118 (tptp.m1_subset_1 @t117 @t115)))) % 1.12/1.34 (assume @p25 (forall @t108 (=> @t120 (tptp.m1_subset_1 @t119 @t3)))) % 1.12/1.34 (assume @p26 (forall @t23 (=> @t16 @t121))) % 1.12/1.34 (assume @p27 @t124) % 1.12/1.34 (assume @p28 (forall @t29 (=> @t126 (forall @t40 (=> @t125 @t47))))) % 1.12/1.34 (assume @p29 (forall @t36 (=> @t127 @t39))) % 1.12/1.34 (assume @p30 (forall @t23 (=> @t16 (and (tptp.v1_funct_1 @t26) (tptp.v1_funct_2 @t26 @t128 @t27) (tptp.m2_relset_1 @t26 @t128 @t27))))) % 1.12/1.34 (assume @p31 (exists @t23 @t16)) % 1.12/1.34 (assume @p32 (exists @t23 @t121)) % 1.12/1.34 (assume @p33 (forall @t23 (=> @t83 (exists @t14 @t75)))) % 1.12/1.34 (assume @p34 (forall @t29 (=> @t126 (exists @t40 @t125)))) % 1.12/1.34 (assume @p35 (forall @t29 (exists @t40 @t35))) % 1.12/1.34 (assume @p36 (forall @t23 (exists @t14 @t99))) % 1.12/1.34 (assume @p37 (forall @t29 (exists @t40 @t127))) % 1.12/1.34 (assume @p38 @t130) % 1.12/1.34 (assume @p39 (forall @t23 (=> @t131 (not (tptp.v1_xboole_0 @t27))))) % 1.12/1.34 (assume @p40 (forall @t23 (not (tptp.v1_xboole_0 @t115)))) % 1.12/1.34 (assume @p41 @t132) % 1.12/1.34 (assume @p42 (forall @t23 (not (tptp.v1_xboole_0 (tptp.k1_tarski @t1))))) % 1.12/1.34 (assume @p43 (forall @t29 (=> @t44 (not (tptp.v1_xboole_0 @t38))))) % 1.12/1.34 (assume @p44 (forall @t29 (=> @t96 (forall (@list @t30 @t104) (=> (= @t94 (tptp.g1_group_1 @t30 @t104)) (and (= @t1 @t30) (= @t3 @t104))))))) % 1.12/1.34 (assume @p45 (forall @t29 (exists @t40 (and @t35 @t37 @t32 @t31)))) % 1.12/1.34 (assume @p46 (forall @t23 (=> @t43 (exists @t14 (and @t133 @t12))))) % 1.12/1.34 (assume @p47 (exists @t23 @t42)) % 1.12/1.34 (assume @p48 (forall @t29 (exists @t40 (and @t35 @t37 @t32)))) % 1.12/1.34 (assume @p49 (forall @t23 (exists @t14 (and @t133 @t11)))) % 1.12/1.34 (assume @p50 (exists @t23 @t43)) % 1.12/1.34 (assume @p51 (exists @t23 (and @t121 @t20))) % 1.12/1.34 (assume @p52 (forall @t23 (=> @t131 (exists @t14 (and (tptp.m1_subset_1 @t3 @t56) @t12))))) % 1.12/1.34 (assume @p53 (forall @t29 (=> @t100 (= @t98 @t134)))) % 1.12/1.34 (assume @p54 @t136) % 1.12/1.34 (assume @p55 (forall @t29 (=> @t100 (= @t116 @t134)))) % 1.12/1.34 (assume @p56 @t139) % 1.12/1.34 (assume @p57 (forall @t108 (=> @t120 (= @t119 (tptp.k1_funct_1 @t30 @t104))))) % 1.12/1.34 (assume @p58 (forall @t29 (=> @t126 (forall @t40 (= @t125 (tptp.m1_group_2 @t30 @t3)))))) % 1.12/1.34 (assume @p59 @t140) % 1.12/1.34 (assume @p60 @t144) % 1.12/1.34 (assume @p61 (forall @t36 (=> @t143 (tptp.r1_group_2 @t1 @t3 @t3)))) % 1.12/1.34 (assume @p62 (forall @t29 (tptp.r1_tarski @t1 @t1))) % 1.12/1.34 (assume @p63 (forall @t36 (=> @t143 (=> @t141 (tptp.r1_group_2 @t1 @t30 @t3))))) % 1.12/1.34 (assume @p64 (forall @t29 (=> @t28 @t145))) % 1.12/1.34 (assume @p65 @t147) % 1.12/1.34 (assume @p66 (forall @t29 (= (tptp.m1_subset_1 @t1 @t103) @t45))) % 1.12/1.34 (assume @p67 @t169) % 1.12/1.34 (assume @p68 @t171) % 1.12/1.34 (assume @p69 @t175) % 1.12/1.34 (assume @p70 (forall @t36 (not (and @t28 @t173 @t41)))) % 1.12/1.34 (assume @p71 (forall @t23 (=> @t42 (= @t1 tptp.k1_xboole_0)))) % 1.12/1.34 (assume @p72 @t179) % 1.12/1.34 (assume @p73 (forall @t29 (not (and @t28 @t11)))) % 1.12/1.34 (assume @p74 (forall @t29 (not (and @t42 (not @t46) @t11)))) % 1.12/1.34 (step @p75 :rule eq-symm :args (@t183 @t184)) % 1.12/1.34 (step @p76 :rule refl :args (@t184)) % 1.12/1.34 (step @p77 :rule eq-symm :args (@t181 @t182)) % 1.12/1.34 (step @p78 :rule cong :premises (@p77 @p76) :args (@t185)) % 1.12/1.34 (step @p79 :rule trans :premises (@p78 @p75)) % 1.12/1.34 (step @p80 :rule refl :args (@t186)) % 1.12/1.34 (step @p81 :rule refl :args (@t187)) % 1.12/1.34 (step @p82 :rule refl :args (@t188)) % 1.12/1.34 (step @p83 :rule refl :args (@t189)) % 1.12/1.34 (step @p84 :rule refl :args (@t190)) % 1.12/1.34 (step @p85 :rule refl :args (@t191)) % 1.12/1.34 (step @p86 :rule refl :args (@t192)) % 1.12/1.34 (step @p87 :rule refl :args (@t19)) % 1.12/1.34 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79) :args (@t193)) % 1.12/1.34 (step @p89 :rule aci_norm :args ((= @t195 @t193))) % 1.12/1.34 (step @p90 :rule trans :premises (@p89 @p88)) % 1.12/1.34 (step @p91 :rule cong :premises (@p90) :args (@t197)) % 1.12/1.34 (step @p92 :rule quant-merge-prenex :args ((= (forall @t23 @t199) @t197))) % 1.12/1.34 (step @p93 :rule alpha_equiv :args (@t200 (@list @t180 @t182) (@list @t3 @t201))) % 1.12/1.34 (step @p94 :rule refl :args (@t190)) % 1.12/1.34 (step @p95 :rule refl :args (@t191)) % 1.12/1.34 (step @p96 :rule refl :args (@t192)) % 1.12/1.34 (step @p97 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@p956)) % 1.12/1.35 (step @p960 :rule bool-impl-elim :args (@t21 @t129)) % 1.12/1.35 (step @p961 :rule trans :premises (@p960 @p959)) % 1.12/1.35 (step @p962 :rule cong :premises (@p961) :args (@t130)) % 1.12/1.35 (step @p963 :rule eq_resolve :premises (@p38 @p962)) % 1.12/1.35 (step @p964 :rule instantiate :premises (@p963) :args (@t311)) % 1.12/1.35 (step @p965 :rule cnf_or_pos :args (@t575)) % 1.12/1.35 (step @p966 :rule reordering :premises (@p965) :args ((or @t271 @t270 @t268 @t266 @t574 (not @t575)))) % 1.12/1.35 (step @p967 :rule chain_m_resolution :premises (@p966 @p296 @p294 @p288 @p282 @p964) :args (@t574 @t316 (@list @t271 @t269 @t267 @t265 @t575))) % 1.12/1.35 (step @p968 :rule cnf_or_pos :args (@t577)) % 1.12/1.35 (step @p969 :rule reordering :premises (@p968) :args ((or @t573 @t576 @t555 (not @t577)))) % 1.12/1.35 (step @p970 :rule chain_m_resolution :premises (@p969 @p967 @p955 @p936) :args (@t555 (@list true false false) (@list @t573 @t571 @t577))) % 1.12/1.35 (step @p971 :rule cnf_or_pos :args (@t561)) % 1.12/1.35 (step @p972 :rule reordering :premises (@p971) :args ((or @t292 @t325 @t324 @t319 @t556 @t557 @t560 (not @t561)))) % 1.12/1.35 (step @p973 :rule chain_m_resolution :premises (@p972 @p952 @p361 @p358 @p352 @p970 @p930 @p897) :args (@t557 (@list false false false false false true false) (@list @t291 @t313 @t312 @t307 @t555 @t560 @t561))) % 1.12/1.35 (step @p974 :rule cnf_or_pos :args (@t580)) % 1.12/1.35 (step @p975 :rule reordering :premises (@p974) :args ((or @t579 @t578 (not @t580)))) % 1.12/1.35 (step @p976 :rule chain_m_resolution :premises (@p975 @p973 @p788) :args (@t578 @t320 (@list @t557 @t580))) % 1.12/1.35 (step @p977 :rule refl :args (@t581)) % 1.12/1.35 (step @p978 :rule bool-double-not-elim :args (@t425)) % 1.12/1.35 (step @p979 :rule refl :args (@t582)) % 1.12/1.35 (step @p980 :rule refl :args (@t583)) % 1.12/1.35 (step @p981 :rule refl :args (@t584)) % 1.12/1.35 (step @p982 :rule refl :args (@t585)) % 1.12/1.35 (step @p983 :rule nary_cong :premises (@p982 @p981 @p980 @p979 @p978 @p977) :args ((or @t585 @t584 @t583 @t582 (not @t502) @t581))) % 1.12/1.35 (assume-push @p1050 @t578) % 1.12/1.35 (assume-push @p1051 @t322) % 1.12/1.35 (assume-push @p1052 @t375) % 1.12/1.35 (assume-push @p1053 @t256) % 1.12/1.35 (assume-push @p1054 @t367) % 1.12/1.35 (assume-push @p1055 @t502) % 1.12/1.35 (step @p906 :rule evaluate :args (@t566)) % 1.12/1.35 (step @p990 :rule true_intro :premises (@p1050)) % 1.12/1.35 (step @p991 :rule cong :premises (@p364) :args (@t374)) % 1.12/1.35 (step @p992 :rule trans :premises (@p308 @p490 @p991)) % 1.12/1.35 (step @p993 :rule cong :premises (@p992 @p471) :args (@t425)) % 1.12/1.35 (step @p994 :rule false_intro :premises (@p784)) % 1.12/1.35 (step @p995 :rule symm :premises (@p994)) % 1.12/1.35 (step @p996 :rule trans :premises (@p995 @p993 @p990)) % 1.12/1.35 (step @p997 false :rule eq_resolve :premises (@p996 @p906)) % 1.12/1.35 (step-pop @p1056 :rule scope :premises (@p997)) % 1.12/1.35 (step-pop @p1057 :rule scope :premises (@p1056)) % 1.12/1.35 (step-pop @p1058 :rule scope :premises (@p1057)) % 1.12/1.35 (step-pop @p1059 :rule scope :premises (@p1058)) % 1.12/1.35 (step-pop @p1060 :rule scope :premises (@p1059)) % 1.12/1.35 (step-pop @p1061 :rule scope :premises (@p1060)) % 1.12/1.35 (step @p998 :rule process_scope :premises (@p1061) :args (false)) % 1.12/1.35 (assume-push @p1062 @t256) % 1.12/1.35 (assume-push @p1063 @t322) % 1.12/1.35 (assume-push @p1064 @t375) % 1.12/1.35 (assume-push @p1065 @t367) % 1.12/1.35 (assume-push @p1066 @t502) % 1.12/1.35 (assume-push @p1067 @t578) % 1.12/1.35 (step @p1011 :rule and_intro :premises (@p1067 @p364 @p490 @p308 @p471 @p784)) % 1.12/1.35 (step-pop @p1068 :rule scope :premises (@p1011)) % 1.12/1.35 (step-pop @p1069 :rule scope :premises (@p1068)) % 1.12/1.35 (step-pop @p1070 :rule scope :premises (@p1069)) % 1.12/1.35 (step-pop @p1071 :rule scope :premises (@p1070)) % 1.12/1.35 (step-pop @p1072 :rule scope :premises (@p1071)) % 1.12/1.35 (step-pop @p1073 :rule scope :premises (@p1072)) % 1.12/1.35 (step @p1012 :rule process_scope :premises (@p1073) :args (@t586)) % 1.12/1.35 (step @p1019 :rule implies_elim :premises (@p1012)) % 1.12/1.35 (step @p1020 :rule resolution :premises (@p1019 @p998) :args (true @t586)) % 1.12/1.35 (step @p1021 :rule not_and :premises (@p1020)) % 1.12/1.35 (step @p1022 :rule eq_resolve :premises (@p1021 @p983)) % 1.12/1.35 (step @p1023 false :rule chain_m_resolution :premises (@p1022 @p976 @p784 @p490 @p471 @p364 @p308) :args (false (@list false true false false false false) (@list @t578 @t425 @t375 @t367 @t322 @t256))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------