%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP625+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:21:03 AM UTC 2026 % Result : Theorem 1.73s 1.98s % Output : Proof 1.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP625+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:24:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.73/1.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.73/1.98 % SZS status Theorem % 1.73/1.98 % SZS output start Proof % 1.73/1.98 ( % 1.73/1.98 (declare-sort $$unsorted 0) % 1.73/1.98 (declare-const tptp.v4_relat_2 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.73/1.98 (declare-const tptp.k1_funct_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k6_relat_1 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k1_fraenkel (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k2_group_3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k3_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k1_group_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v8_relat_2 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k6_partfun1 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v1_relat_2 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v3_relat_2 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.73/1.98 (declare-const tptp.v2_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (declare-const tptp.v3_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.73/1.98 (define @t1 () (@var "A" $$unsorted)) % 1.73/1.98 (define @t2 () (tptp.k4_autgroup @t1)) % 1.73/1.98 (define @t3 () (tptp.u1_struct_0 @t1)) % 1.73/1.98 (define @t4 () (tptp.m2_fraenkel (tptp.k6_partfun1 @t3) @t3 @t3 @t2)) % 1.73/1.98 (define @t5 () (tptp.l1_group_1 @t1)) % 1.73/1.98 (define @t6 () (tptp.v4_group_1 @t1)) % 1.73/1.98 (define @t7 () (tptp.v3_group_1 @t1)) % 1.73/1.98 (define @t8 () (tptp.v1_group_1 @t1)) % 1.73/1.98 (define @t9 () (tptp.v3_struct_0 @t1)) % 1.73/1.98 (define @t10 () (not @t9)) % 1.73/1.98 (define @t11 () (and @t10 @t8 @t7 @t6 @t5)) % 1.73/1.98 (define @t12 () (@list @t1)) % 1.73/1.98 (define @t13 () (forall @t12 (=> @t11 @t4))) % 1.73/1.98 (define @t14 () (not @t13)) % 1.73/1.98 (define @t15 () (tptp.u1_group_1 @t1)) % 1.73/1.98 (define @t16 () (@var "B" $$unsorted)) % 1.73/1.98 (define @t17 () (tptp.r2_hidden @t16 @t1)) % 1.73/1.98 (define @t18 () (tptp.r2_hidden @t1 @t16)) % 1.73/1.98 (define @t19 () (@list @t1 @t16)) % 1.73/1.98 (define @t20 () (tptp.v1_funct_1 @t16)) % 1.73/1.98 (define @t21 () (tptp.v1_relat_1 @t16)) % 1.73/1.98 (define @t22 () (tptp.m1_subset_1 @t16 @t1)) % 1.73/1.98 (define @t23 () (@list @t16)) % 1.73/1.98 (define @t24 () (tptp.v1_fraenkel @t1)) % 1.73/1.98 (define @t25 () (tptp.v1_funct_1 @t1)) % 1.73/1.98 (define @t26 () (tptp.v1_xboole_0 @t1)) % 1.73/1.98 (define @t27 () (@var "C" $$unsorted)) % 1.73/1.98 (define @t28 () (tptp.v1_funct_2 @t27 @t1 @t16)) % 1.73/1.98 (define @t29 () (tptp.v1_funct_1 @t27)) % 1.73/1.98 (define @t30 () (and @t29 @t28)) % 1.73/1.98 (define @t31 () (tptp.v1_partfun1 @t27 @t1 @t16)) % 1.73/1.98 (define @t32 () (and @t29 @t31)) % 1.73/1.98 (define @t33 () (=> @t32 @t30)) % 1.73/1.98 (define @t34 () (tptp.m1_relset_1 @t27 @t1 @t16)) % 1.73/1.98 (define @t35 () (@list @t1 @t16 @t27)) % 1.73/1.98 (define @t36 () (forall @t35 (=> @t34 @t33))) % 1.73/1.98 (define @t37 () (tptp.v2_group_1 @t1)) % 1.73/1.98 (define @t38 () (and @t10 @t37)) % 1.73/1.98 (define @t39 () (and @t10 @t7)) % 1.73/1.98 (define @t40 () (=> @t39 @t38)) % 1.73/1.98 (define @t41 () (forall @t12 (=> @t5 @t40))) % 1.73/1.98 (define @t42 () (tptp.v1_relat_1 @t1)) % 1.73/1.98 (define @t43 () (tptp.v1_relat_1 @t27)) % 1.73/1.98 (define @t44 () (tptp.k2_zfmisc_1 @t1 @t16)) % 1.73/1.98 (define @t45 () (tptp.m1_subset_1 @t27 (tptp.k1_zfmisc_1 @t44))) % 1.73/1.98 (define @t46 () (tptp.v2_funct_1 @t1)) % 1.73/1.98 (define @t47 () (and @t42 @t25 @t46)) % 1.73/1.98 (define @t48 () (and @t42 @t26 @t25)) % 1.73/1.98 (define @t49 () (and @t29 (tptp.v2_funct_1 @t27) @t28 (tptp.v2_funct_2 @t27 @t1 @t16))) % 1.73/1.98 (define @t50 () (and @t29 @t28 (tptp.v3_funct_2 @t27 @t1 @t16))) % 1.73/1.98 (define @t51 () (tptp.v3_funct_2 @t16 @t1 @t1)) % 1.73/1.98 (define @t52 () (tptp.v2_funct_2 @t16 @t1 @t1)) % 1.73/1.98 (define @t53 () (tptp.v1_funct_2 @t16 @t1 @t1)) % 1.73/1.98 (define @t54 () (tptp.v2_funct_1 @t16)) % 1.73/1.98 (define @t55 () (tptp.v1_relat_2 @t16)) % 1.73/1.98 (define @t56 () (tptp.v1_partfun1 @t16 @t1 @t1)) % 1.73/1.98 (define @t57 () (tptp.m1_relset_1 @t16 @t1 @t1)) % 1.73/1.98 (define @t58 () (@list @t27)) % 1.73/1.98 (define @t59 () (tptp.v1_xboole_0 @t16)) % 1.73/1.98 (define @t60 () (not @t59)) % 1.73/1.98 (define @t61 () (tptp.v1_xboole_0 @t27)) % 1.73/1.98 (define @t62 () (not @t61)) % 1.73/1.98 (define @t63 () (not @t26)) % 1.73/1.98 (define @t64 () (tptp.k2_tarski @t1 @t16)) % 1.73/1.98 (define @t65 () (and @t42 @t25)) % 1.73/1.98 (define @t66 () (tptp.k1_group_1 @t1 @t16 @t27)) % 1.73/1.98 (define @t67 () (tptp.m1_subset_1 @t27 @t3)) % 1.73/1.98 (define @t68 () (tptp.m1_subset_1 @t16 @t3)) % 1.73/1.98 (define @t69 () (and @t10 @t5)) % 1.73/1.98 (define @t70 () (tptp.k2_group_3 @t1 @t16 @t27)) % 1.73/1.98 (define @t71 () (= @t70 (tptp.k1_group_1 @t1 (tptp.k1_group_1 @t1 (tptp.k3_group_1 @t1 @t27) @t16) @t27))) % 1.73/1.98 (define @t72 () (forall @t58 (=> @t67 @t71))) % 1.73/1.98 (define @t73 () (=> @t68 @t72)) % 1.73/1.98 (define @t74 () (forall @t23 @t73)) % 1.73/1.98 (define @t75 () (and @t10 @t7 @t6 @t5)) % 1.73/1.98 (define @t76 () (=> @t75 @t74)) % 1.73/1.98 (define @t77 () (forall @t12 @t76)) % 1.73/1.98 (define @t78 () (@var "D" $$unsorted)) % 1.73/1.98 (define @t79 () (@var "E" $$unsorted)) % 1.73/1.98 (define @t80 () (= (tptp.k8_funct_2 @t3 @t3 @t27 @t79) (tptp.k2_group_3 @t1 @t79 @t78))) % 1.73/1.98 (define @t81 () (tptp.m1_subset_1 @t79 @t3)) % 1.73/1.98 (define @t82 () (@list @t79)) % 1.73/1.98 (define @t83 () (forall @t82 (=> @t81 @t80))) % 1.73/1.98 (define @t84 () (tptp.m1_subset_1 @t78 @t3)) % 1.73/1.98 (define @t85 () (and @t84 @t83)) % 1.73/1.98 (define @t86 () (@list @t78)) % 1.73/1.98 (define @t87 () (exists @t86 @t85)) % 1.73/1.98 (define @t88 () (tptp.r2_hidden @t27 @t16)) % 1.73/1.98 (define @t89 () (= @t88 @t87)) % 1.73/1.98 (define @t90 () (tptp.m2_fraenkel @t27 @t3 @t3 (tptp.k1_fraenkel @t3 @t3))) % 1.73/1.98 (define @t91 () (=> @t90 @t89)) % 1.73/1.98 (define @t92 () (forall @t58 @t91)) % 1.73/1.98 (define @t93 () (= (= @t16 @t2) @t92)) % 1.73/1.98 (define @t94 () (tptp.m1_fraenkel @t16 @t3 @t3)) % 1.73/1.98 (define @t95 () (=> @t94 @t93)) % 1.73/1.98 (define @t96 () (forall @t23 @t95)) % 1.73/1.98 (define @t97 () (=> @t11 @t96)) % 1.73/1.98 (define @t98 () (forall @t12 @t97)) % 1.73/1.98 (define @t99 () (tptp.k1_group_1 @t1 @t27 @t16)) % 1.73/1.98 (define @t100 () (and (= @t99 @t27) (= @t66 @t27))) % 1.73/1.98 (define @t101 () (=> @t67 @t100)) % 1.73/1.98 (define @t102 () (forall @t58 @t101)) % 1.73/1.98 (define @t103 () (tptp.k2_group_1 @t1)) % 1.73/1.98 (define @t104 () (= @t16 @t103)) % 1.73/1.98 (define @t105 () (= @t104 @t102)) % 1.73/1.98 (define @t106 () (=> @t68 @t105)) % 1.73/1.98 (define @t107 () (forall @t23 @t106)) % 1.73/1.98 (define @t108 () (=> @t37 @t107)) % 1.73/1.98 (define @t109 () (=> @t69 @t108)) % 1.73/1.98 (define @t110 () (forall @t12 @t109)) % 1.73/1.98 (define @t111 () (tptp.g1_group_1 @t1 @t16)) % 1.73/1.98 (define @t112 () (tptp.v1_group_1 @t111)) % 1.73/1.98 (define @t113 () (tptp.k2_zfmisc_1 @t1 @t1)) % 1.73/1.98 (define @t114 () (tptp.m1_relset_1 @t16 @t113 @t1)) % 1.73/1.98 (define @t115 () (tptp.v1_funct_2 @t16 @t113 @t1)) % 1.73/1.98 (define @t116 () (and @t20 @t115 @t114)) % 1.73/1.98 (define @t117 () (tptp.k1_fraenkel @t1 @t16)) % 1.73/1.98 (define @t118 () (tptp.m1_fraenkel @t117 @t1 @t16)) % 1.73/1.98 (define @t119 () (forall @t19 (=> @t60 @t118))) % 1.73/1.98 (define @t120 () (@var "F" $$unsorted)) % 1.73/1.98 (define @t121 () (tptp.k2_binop_1 @t1 @t16 @t27 @t78 @t79 @t120)) % 1.73/1.98 (define @t122 () (tptp.v1_funct_1 @t78)) % 1.73/1.98 (define @t123 () (and @t63 @t60 @t122 (tptp.v1_funct_2 @t78 @t44 @t27) (tptp.m1_relset_1 @t78 @t44 @t27) (tptp.m1_subset_1 @t79 @t1) (tptp.m1_subset_1 @t120 @t16))) % 1.73/1.98 (define @t124 () (@list @t1 @t16 @t27 @t78 @t79 @t120)) % 1.73/1.98 (define @t125 () (tptp.m1_subset_1 @t103 @t3)) % 1.73/1.98 (define @t126 () (forall @t12 (=> @t69 @t125))) % 1.73/1.98 (define @t127 () (tptp.m1_fraenkel @t2 @t3 @t3)) % 1.73/1.98 (define @t128 () (forall @t12 (=> @t11 @t127))) % 1.73/1.98 (define @t129 () (tptp.k6_partfun1 @t1)) % 1.73/1.98 (define @t130 () (tptp.m2_relset_1 @t129 @t1 @t1)) % 1.73/1.98 (define @t131 () (tptp.v1_partfun1 @t129 @t1 @t1)) % 1.73/1.98 (define @t132 () (forall @t12 (and @t131 @t130))) % 1.73/1.98 (define @t133 () (tptp.k6_relat_1 @t1)) % 1.73/1.98 (define @t134 () (tptp.v1_relat_1 @t133)) % 1.73/1.98 (define @t135 () (forall @t12 @t134)) % 1.73/1.98 (define @t136 () (tptp.k8_funct_2 @t1 @t16 @t27 @t78)) % 1.73/1.98 (define @t137 () (tptp.m1_subset_1 @t78 @t1)) % 1.73/1.98 (define @t138 () (and @t63 @t29 @t28 @t34 @t137)) % 1.73/1.98 (define @t139 () (@list @t1 @t16 @t27 @t78)) % 1.73/1.98 (define @t140 () (tptp.l1_struct_0 @t1)) % 1.73/1.98 (define @t141 () (forall @t12 (=> @t5 @t140))) % 1.73/1.98 (define @t142 () (tptp.m1_fraenkel @t27 @t1 @t16)) % 1.73/1.98 (define @t143 () (tptp.m2_fraenkel @t78 @t1 @t16 @t27)) % 1.73/1.98 (define @t144 () (and @t60 @t142)) % 1.73/1.98 (define @t145 () (tptp.m2_relset_1 @t27 @t1 @t16)) % 1.73/1.98 (define @t146 () (tptp.k2_zfmisc_1 @t3 @t3)) % 1.73/1.98 (define @t147 () (tptp.k1_funct_2 @t1 @t16)) % 1.73/1.98 (define @t148 () (not (tptp.v1_xboole_0 @t3))) % 1.73/1.98 (define @t149 () (and @t10 @t140)) % 1.73/1.98 (define @t150 () (forall @t12 (=> @t149 @t148))) % 1.73/1.98 (define @t151 () (tptp.v1_funct_1 @t133)) % 1.73/1.98 (define @t152 () (forall @t12 (and @t134 @t151))) % 1.73/1.98 (define @t153 () (= @t117 @t147)) % 1.73/1.98 (define @t154 () (forall @t19 (=> @t60 @t153))) % 1.73/1.98 (define @t155 () (= @t136 (tptp.k1_funct_1 @t27 @t78))) % 1.73/1.98 (define @t156 () (forall @t139 (=> @t138 @t155))) % 1.73/1.98 (define @t157 () (forall @t86 (= @t143 (tptp.m1_subset_1 @t78 @t27)))) % 1.73/1.98 (define @t158 () (forall @t35 (=> @t144 @t157))) % 1.73/1.98 (define @t159 () (forall @t35 (= @t145 @t34))) % 1.73/1.98 (define @t160 () (tptp.r2_hidden @t27 @t147)) % 1.73/1.98 (define @t161 () (= @t1 tptp.k1_xboole_0)) % 1.73/1.98 (define @t162 () (= @t16 tptp.k1_xboole_0)) % 1.73/1.98 (define @t163 () (=> @t162 @t161)) % 1.73/1.98 (define @t164 () (=> @t163 @t160)) % 1.73/1.98 (define @t165 () (and @t29 @t28 @t145)) % 1.73/1.98 (define @t166 () (forall @t35 (=> @t165 @t164))) % 1.73/1.98 (define @t167 () (tptp.k3_group_1 @t1 @t103)) % 1.73/1.98 (define @t168 () (=> @t75 (= @t167 @t103))) % 1.73/1.98 (define @t169 () (forall @t12 @t168)) % 1.73/1.98 (define @t170 () (tptp.m1_subset_1 @t1 @t16)) % 1.73/1.98 (define @t171 () (forall @t19 (=> @t18 @t170))) % 1.73/1.98 (define @t172 () (or @t59 @t18)) % 1.73/1.98 (define @t173 () (forall @t19 (=> @t170 @t172))) % 1.73/1.98 (define @t174 () (tptp.k1_funct_1 @t133 @t16)) % 1.73/1.98 (define @t175 () (=> @t17 (= @t174 @t16))) % 1.73/1.98 (define @t176 () (forall @t19 @t175)) % 1.73/1.98 (define @t177 () (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t27))) % 1.73/1.98 (define @t178 () (not @t5)) % 1.73/1.98 (define @t179 () (not @t6)) % 1.73/1.98 (define @t180 () (not @t7)) % 1.73/1.98 (define @t181 () (not @t8)) % 1.73/1.98 (define @t182 () (or @t9 @t181 @t180 @t179 @t178 @t4)) % 1.73/1.98 (define @t183 () (@quantifiers_skolemize (forall @t12 @t182) 0)) % 1.73/1.98 (define @t184 () (tptp.u1_struct_0 @t183)) % 1.73/1.98 (define @t185 () (@list @t184)) % 1.73/1.98 (define @t186 () (= @t103 @t167)) % 1.73/1.98 (define @t187 () (or @t9 @t180 @t179 @t178)) % 1.73/1.98 (define @t188 () (not @t10)) % 1.73/1.98 (define @t189 () (or @t188 @t180 @t179 @t178)) % 1.73/1.98 (define @t190 () (or @t180 (or @t179 @t178))) % 1.73/1.98 (define @t191 () (not (and @t7 @t6 @t5))) % 1.73/1.98 (define @t192 () (not @t75)) % 1.73/1.98 (define @t193 () (@list @t183)) % 1.73/1.98 (define @t194 () (or @t9 @t181 @t180 @t179 @t178)) % 1.73/1.98 (define @t195 () (or @t188 @t181 @t180 @t179 @t178)) % 1.73/1.98 (define @t196 () (not @t11)) % 1.73/1.98 (define @t197 () (tptp.l1_group_1 @t183)) % 1.73/1.98 (define @t198 () (tptp.k4_autgroup @t183)) % 1.73/1.98 (define @t199 () (tptp.k6_partfun1 @t184)) % 1.73/1.98 (define @t200 () (tptp.m2_fraenkel @t199 @t184 @t184 @t198)) % 1.73/1.98 (define @t201 () (not @t197)) % 1.73/1.98 (define @t202 () (tptp.v4_group_1 @t183)) % 1.73/1.98 (define @t203 () (not @t202)) % 1.73/1.98 (define @t204 () (tptp.v3_group_1 @t183)) % 1.73/1.98 (define @t205 () (not @t204)) % 1.73/1.98 (define @t206 () (tptp.v1_group_1 @t183)) % 1.73/1.98 (define @t207 () (not @t206)) % 1.73/1.98 (define @t208 () (tptp.v3_struct_0 @t183)) % 1.73/1.98 (define @t209 () (or @t208 @t207 @t205 @t203 @t201 @t200)) % 1.73/1.98 (define @t210 () (@list true)) % 1.73/1.98 (define @t211 () (@list @t209)) % 1.73/1.98 (define @t212 () (not @t208)) % 1.73/1.98 (define @t213 () (tptp.k2_group_1 @t183)) % 1.73/1.98 (define @t214 () (tptp.k3_group_1 @t183 @t213)) % 1.73/1.98 (define @t215 () (= @t213 @t214)) % 1.73/1.98 (define @t216 () (or @t208 @t205 @t203 @t201 @t215)) % 1.73/1.98 (define @t217 () (@list true false false false false)) % 1.73/1.98 (define @t218 () (@var "BOUND_VARIABLE_8211" $$unsorted)) % 1.73/1.98 (define @t219 () (tptp.r2_hidden @t27 @t218)) % 1.73/1.98 (define @t220 () (forall @t82 (or (not @t81) @t80))) % 1.73/1.98 (define @t221 () (not (forall @t86 (or (not @t84) (not @t220))))) % 1.73/1.98 (define @t222 () (not @t90)) % 1.73/1.98 (define @t223 () (or @t222 (= @t219 @t221))) % 1.73/1.98 (define @t224 () (forall @t58 @t223)) % 1.73/1.98 (define @t225 () (= @t2 @t218)) % 1.73/1.98 (define @t226 () (= @t225 @t224)) % 1.73/1.98 (define @t227 () (not (tptp.m1_fraenkel @t218 @t3 @t3))) % 1.73/1.98 (define @t228 () (or @t9 @t181 @t180 @t179 @t178 @t227 @t226)) % 1.73/1.98 (define @t229 () (or @t227 @t226)) % 1.73/1.98 (define @t230 () (or @t9 @t181 @t180 @t179 @t178 @t229)) % 1.73/1.98 (define @t231 () (@list @t1 @t218)) % 1.73/1.98 (define @t232 () (forall @t231 @t230)) % 1.73/1.98 (define @t233 () (@list @t218)) % 1.73/1.98 (define @t234 () (forall @t233 @t230)) % 1.73/1.98 (define @t235 () (forall @t233 @t229)) % 1.73/1.98 (define @t236 () (@list @t16)) % 1.73/1.98 (define @t237 () (or @t9 @t181 @t180 @t179 @t178 @t235)) % 1.73/1.98 (define @t238 () (= @t88 @t221)) % 1.73/1.98 (define @t239 () (= (= @t2 @t16) (forall @t58 (or @t222 @t238)))) % 1.73/1.98 (define @t240 () (forall @t23 (or (not @t94) @t239))) % 1.73/1.98 (define @t241 () (or @t9 @t181 @t180 @t179 @t178 @t240)) % 1.73/1.98 (define @t242 () (and @t84 @t220)) % 1.73/1.98 (define @t243 () (forall @t86 (not @t242))) % 1.73/1.98 (define @t244 () (not @t243)) % 1.73/1.98 (define @t245 () (tptp.k2_group_3 @t183 @t79 @t78)) % 1.73/1.98 (define @t246 () (not (tptp.m1_subset_1 @t79 @t184))) % 1.73/1.98 (define @t247 () (not (tptp.m1_subset_1 @t78 @t184))) % 1.73/1.98 (define @t248 () (tptp.k1_fraenkel @t184 @t184)) % 1.73/1.98 (define @t249 () (forall @t58 (or (not (tptp.m2_fraenkel @t27 @t184 @t184 @t248)) (= (not (forall @t86 (or @t247 (not (forall @t82 (or @t246 (= (tptp.k8_funct_2 @t184 @t184 @t27 @t79) @t245))))))) (tptp.r2_hidden @t27 @t198))))) % 1.73/1.98 (define @t250 () (= (= @t198 @t198) @t249)) % 1.73/1.98 (define @t251 () (tptp.m1_fraenkel @t198 @t184 @t184)) % 1.73/1.98 (define @t252 () (not @t251)) % 1.73/1.98 (define @t253 () (or @t208 @t207 @t205 @t203 @t201 @t252 @t250)) % 1.73/1.98 (define @t254 () (forall @t231 (or @t9 @t181 @t180 @t179 @t178 @t227 (= @t225 (forall @t58 (or @t222 (= @t221 @t219))))))) % 1.73/1.98 (define @t255 () (or @t208 @t207 @t205 @t203 @t201 @t252 @t249)) % 1.73/1.98 (define @t256 () (@list false)) % 1.73/1.98 (define @t257 () (or @t208 @t207 @t205 @t203 @t201 @t251)) % 1.73/1.98 (define @t258 () (@list true false false false false false)) % 1.73/1.98 (define @t259 () (@list true false false false false false false)) % 1.73/1.98 (define @t260 () (tptp.k8_funct_2 @t184 @t184 @t199 @t79)) % 1.73/1.98 (define @t261 () (or @t246 (= @t260 @t245))) % 1.73/1.98 (define @t262 () (forall @t82 @t261)) % 1.73/1.98 (define @t263 () (not @t262)) % 1.73/1.98 (define @t264 () (or @t247 @t263)) % 1.73/1.98 (define @t265 () (forall @t86 @t264)) % 1.73/1.98 (define @t266 () (not @t265)) % 1.73/1.98 (define @t267 () (tptp.r2_hidden @t199 @t198)) % 1.73/1.98 (define @t268 () (tptp.m2_fraenkel @t199 @t184 @t184 @t248)) % 1.73/1.98 (define @t269 () (not @t268)) % 1.73/1.98 (define @t270 () (or @t269 (= @t266 @t267))) % 1.73/1.98 (define @t271 () (forall @t86 (or @t247 (not (forall @t82 (or @t246 (= @t245 @t260))))))) % 1.73/1.98 (define @t272 () (not @t271)) % 1.73/1.98 (define @t273 () (= @t267 @t272)) % 1.73/1.98 (define @t274 () (or @t269 @t273)) % 1.73/1.98 (define @t275 () (@var "BOUND_VARIABLE_8629" $$unsorted)) % 1.73/1.98 (define @t276 () (= (tptp.m2_fraenkel @t275 @t1 @t16 @t27) (tptp.m1_subset_1 @t275 @t27))) % 1.73/1.98 (define @t277 () (not @t142)) % 1.73/1.98 (define @t278 () (or @t59 @t277 @t276)) % 1.73/1.98 (define @t279 () (@list @t275)) % 1.73/1.98 (define @t280 () (forall @t279 @t278)) % 1.73/1.98 (define @t281 () (forall @t279 @t276)) % 1.73/1.98 (define @t282 () (or @t59 @t277 @t281)) % 1.73/1.98 (define @t283 () (or @t59 @t277 @t157)) % 1.73/1.98 (define @t284 () (not @t60)) % 1.73/1.98 (define @t285 () (@list @t184 @t184)) % 1.73/1.98 (define @t286 () (not @t140)) % 1.73/1.98 (define @t287 () (tptp.l1_struct_0 @t183)) % 1.73/1.98 (define @t288 () (or @t201 @t287)) % 1.73/1.98 (define @t289 () (@list false false)) % 1.73/1.98 (define @t290 () (tptp.v1_xboole_0 @t184)) % 1.73/1.98 (define @t291 () (not @t290)) % 1.73/1.98 (define @t292 () (not @t287)) % 1.73/1.98 (define @t293 () (or @t208 @t292 @t291)) % 1.73/1.98 (define @t294 () (@list true false false)) % 1.73/1.98 (define @t295 () (tptp.m1_fraenkel @t248 @t184 @t184)) % 1.73/1.98 (define @t296 () (or @t290 @t295)) % 1.73/1.98 (define @t297 () (@list true false)) % 1.73/1.98 (define @t298 () (tptp.m1_subset_1 @t199 @t248)) % 1.73/1.98 (define @t299 () (= @t268 @t298)) % 1.73/1.98 (define @t300 () (not @t295)) % 1.73/1.98 (define @t301 () (or @t290 @t300 @t299)) % 1.73/1.98 (define @t302 () (tptp.k1_funct_2 @t184 @t184)) % 1.73/1.98 (define @t303 () (and @t162 (not @t161))) % 1.73/1.98 (define @t304 () (not @t145)) % 1.73/1.98 (define @t305 () (not @t28)) % 1.73/1.98 (define @t306 () (not @t29)) % 1.73/1.98 (define @t307 () (or @t306 @t305 @t304 @t303 @t160)) % 1.73/1.98 (define @t308 () (or @t306 @t305 @t304)) % 1.73/1.98 (define @t309 () (tptp.r2_hidden @t199 @t302)) % 1.73/1.98 (define @t310 () (= @t184 tptp.k1_xboole_0)) % 1.73/1.98 (define @t311 () (not @t310)) % 1.73/1.98 (define @t312 () (and @t310 @t311)) % 1.73/1.98 (define @t313 () (tptp.m2_relset_1 @t199 @t184 @t184)) % 1.73/1.98 (define @t314 () (not @t313)) % 1.73/1.98 (define @t315 () (tptp.v1_funct_2 @t199 @t184 @t184)) % 1.73/1.98 (define @t316 () (not @t315)) % 1.73/1.98 (define @t317 () (tptp.v1_funct_1 @t199)) % 1.73/1.98 (define @t318 () (not @t317)) % 1.73/1.98 (define @t319 () (or @t318 @t316 @t314 @t312 @t309)) % 1.73/1.98 (define @t320 () (forall @t35 @t307)) % 1.73/1.98 (define @t321 () (@list @t184 @t184 @t199)) % 1.73/1.98 (define @t322 () (= tptp.k1_xboole_0 @t184)) % 1.73/1.98 (define @t323 () (not @t322)) % 1.73/1.98 (define @t324 () (and @t322 @t323)) % 1.73/1.98 (define @t325 () (or @t318 @t316 @t314 @t324 @t309)) % 1.73/1.98 (define @t326 () (not @t324)) % 1.73/1.98 (define @t327 () (not @t31)) % 1.73/1.98 (define @t328 () (not @t34)) % 1.73/1.98 (define @t329 () (or @t306 @t327 @t30)) % 1.73/1.98 (define @t330 () (forall @t12 @t151)) % 1.73/1.98 (define @t331 () (@list @t1)) % 1.73/1.98 (define @t332 () (and @t135 @t330)) % 1.73/1.98 (define @t333 () (tptp.m1_relset_1 @t199 @t184 @t184)) % 1.73/1.98 (define @t334 () (forall @t35 (= @t34 @t145))) % 1.73/1.98 (define @t335 () (= @t333 @t313)) % 1.73/1.98 (define @t336 () (= @t313 @t333)) % 1.73/1.98 (define @t337 () (forall @t12 @t130)) % 1.73/1.98 (define @t338 () (forall @t12 @t131)) % 1.73/1.98 (define @t339 () (and @t338 @t337)) % 1.73/1.98 (define @t340 () (and @t317 @t315)) % 1.73/1.98 (define @t341 () (tptp.v1_partfun1 @t199 @t184 @t184)) % 1.73/1.98 (define @t342 () (not @t341)) % 1.73/1.98 (define @t343 () (not @t333)) % 1.73/1.98 (define @t344 () (or @t343 @t318 @t342 @t340)) % 1.73/1.98 (define @t345 () (tptp.m1_subset_1 @t199 @t302)) % 1.73/1.98 (define @t346 () (not @t309)) % 1.73/1.98 (define @t347 () (or @t346 @t345)) % 1.73/1.98 (define @t348 () (= @t248 @t302)) % 1.73/1.98 (define @t349 () (or @t290 @t348)) % 1.73/1.98 (define @t350 () (tptp.m1_subset_1 @t199 @t198)) % 1.73/1.98 (define @t351 () (= @t200 @t350)) % 1.73/1.98 (define @t352 () (or @t290 @t252 @t351)) % 1.73/1.98 (define @t353 () (not @t350)) % 1.73/1.98 (define @t354 () (not @t267)) % 1.73/1.98 (define @t355 () (or @t354 @t350)) % 1.73/1.98 (define @t356 () (not @t273)) % 1.73/1.98 (define @t357 () (tptp.k2_group_3 @t183 @t79 @t213)) % 1.73/1.98 (define @t358 () (or @t246 (= @t357 @t260))) % 1.73/1.98 (define @t359 () (forall @t82 @t358)) % 1.73/1.98 (define @t360 () (not @t359)) % 1.73/1.98 (define @t361 () (tptp.m1_subset_1 @t213 @t184)) % 1.73/1.98 (define @t362 () (not @t361)) % 1.73/1.98 (define @t363 () (or @t362 @t360)) % 1.73/1.98 (define @t364 () (forall @t82 (or @t246 (= @t260 @t357)))) % 1.73/1.98 (define @t365 () (not @t364)) % 1.73/1.98 (define @t366 () (or @t362 @t365)) % 1.73/1.98 (define @t367 () (or @t9 @t178)) % 1.73/1.98 (define @t368 () (not @t69)) % 1.73/1.98 (define @t369 () (or @t208 @t201 @t361)) % 1.73/1.98 (define @t370 () (@quantifiers_skolemize @t364 0)) % 1.73/1.98 (define @t371 () (tptp.k2_group_3 @t183 @t370 @t213)) % 1.73/1.98 (define @t372 () (tptp.k8_funct_2 @t184 @t184 @t199 @t370)) % 1.73/1.98 (define @t373 () (= @t372 @t371)) % 1.73/1.98 (define @t374 () (tptp.m1_subset_1 @t370 @t184)) % 1.73/1.98 (define @t375 () (not @t374)) % 1.73/1.98 (define @t376 () (or @t375 @t373)) % 1.73/1.98 (define @t377 () (not @t373)) % 1.73/1.98 (define @t378 () (@list @t376)) % 1.73/1.98 (define @t379 () (@var "BOUND_VARIABLE_8163" $$unsorted)) % 1.73/1.98 (define @t380 () (@var "BOUND_VARIABLE_8161" $$unsorted)) % 1.73/1.98 (define @t381 () (= (tptp.k2_group_3 @t1 @t380 @t379) (tptp.k1_group_1 @t1 (tptp.k1_group_1 @t1 (tptp.k3_group_1 @t1 @t379) @t380) @t379))) % 1.73/1.98 (define @t382 () (not (tptp.m1_subset_1 @t379 @t3))) % 1.73/1.98 (define @t383 () (not (tptp.m1_subset_1 @t380 @t3))) % 1.73/1.98 (define @t384 () (or @t383 @t382 @t381)) % 1.73/1.98 (define @t385 () (or @t9 @t180 @t179 @t178 @t384)) % 1.73/1.98 (define @t386 () (forall (@list @t1 @t380 @t379) @t385)) % 1.73/1.98 (define @t387 () (@list @t380 @t379)) % 1.73/1.98 (define @t388 () (forall @t387 @t385)) % 1.73/1.98 (define @t389 () (forall @t387 @t384)) % 1.73/1.98 (define @t390 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 1.73/1.98 (define @t391 () (or @t9 @t180 @t179 @t178 @t389)) % 1.73/1.98 (define @t392 () (= (tptp.k2_group_3 @t1 @t16 @t390) (tptp.k1_group_1 @t1 (tptp.k1_group_1 @t1 (tptp.k3_group_1 @t1 @t390) @t16) @t390))) % 1.73/1.98 (define @t393 () (not (tptp.m1_subset_1 @t390 @t3))) % 1.73/1.98 (define @t394 () (not @t68)) % 1.73/1.98 (define @t395 () (or @t394 @t393 @t392)) % 1.73/1.98 (define @t396 () (@list @t16 @t390)) % 1.73/1.98 (define @t397 () (forall @t396 @t395)) % 1.73/1.98 (define @t398 () (or @t9 @t180 @t179 @t178 @t397)) % 1.73/1.98 (define @t399 () (or @t393 @t392)) % 1.73/1.98 (define @t400 () (or @t394 @t399)) % 1.73/1.98 (define @t401 () (forall @t396 @t400)) % 1.73/1.98 (define @t402 () (@list @t390)) % 1.73/1.98 (define @t403 () (forall @t402 @t400)) % 1.73/1.98 (define @t404 () (forall @t402 @t399)) % 1.73/1.98 (define @t405 () (or @t394 @t404)) % 1.73/1.98 (define @t406 () (not @t67)) % 1.73/1.98 (define @t407 () (forall @t58 (or @t406 @t71))) % 1.73/1.98 (define @t408 () (= @t371 (tptp.k1_group_1 @t183 (tptp.k1_group_1 @t183 @t214 @t370) @t213))) % 1.73/1.98 (define @t409 () (or @t208 @t205 @t203 @t201 @t375 @t362 @t408)) % 1.73/1.98 (define @t410 () (not @t137)) % 1.73/1.98 (define @t411 () (not @t63)) % 1.73/1.98 (define @t412 () (or @t411 @t306 @t305 @t328 @t410)) % 1.73/1.98 (define @t413 () (= @t372 (tptp.k1_funct_1 @t199 @t370))) % 1.73/1.98 (define @t414 () (or @t290 @t318 @t316 @t343 @t375 @t413)) % 1.73/1.98 (define @t415 () (@var "BOUND_VARIABLE_8252" $$unsorted)) % 1.73/1.98 (define @t416 () (= @t103 @t415)) % 1.73/1.98 (define @t417 () (forall @t58 (or @t406 (and (= @t27 (tptp.k1_group_1 @t1 @t27 @t415)) (= @t27 (tptp.k1_group_1 @t1 @t415 @t27)))))) % 1.73/1.98 (define @t418 () (= (= @t415 @t103) @t417)) % 1.73/1.98 (define @t419 () (not (tptp.m1_subset_1 @t415 @t3))) % 1.73/1.98 (define @t420 () (not @t37)) % 1.73/1.98 (define @t421 () (or @t9 @t178 @t420 @t419 @t418)) % 1.73/1.98 (define @t422 () (or @t419 @t418)) % 1.73/1.98 (define @t423 () (or @t9 @t178 @t420 @t422)) % 1.73/1.98 (define @t424 () (@list @t1 @t415)) % 1.73/1.98 (define @t425 () (forall @t424 @t423)) % 1.73/1.98 (define @t426 () (@list @t415)) % 1.73/1.98 (define @t427 () (forall @t426 @t423)) % 1.73/1.98 (define @t428 () (forall @t426 @t422)) % 1.73/1.98 (define @t429 () (or @t9 @t178 @t420 @t428)) % 1.73/1.98 (define @t430 () (and (= @t27 @t99) (= @t27 @t66))) % 1.73/1.98 (define @t431 () (= @t104 (forall @t58 (or @t406 @t430)))) % 1.73/1.98 (define @t432 () (forall @t23 (or @t394 @t431))) % 1.73/1.98 (define @t433 () (or @t9 @t178 @t420 @t432)) % 1.73/1.98 (define @t434 () (=> @t37 @t432)) % 1.73/1.98 (define @t435 () (forall @t58 (or (not (tptp.m1_subset_1 @t27 @t184)) (and (= @t27 (tptp.k1_group_1 @t183 @t27 @t213)) (= @t27 (tptp.k1_group_1 @t183 @t213 @t27)))))) % 1.73/1.98 (define @t436 () (= @t435 (= @t213 @t213))) % 1.73/1.98 (define @t437 () (tptp.v2_group_1 @t183)) % 1.73/1.98 (define @t438 () (not @t437)) % 1.73/1.98 (define @t439 () (or @t208 @t201 @t438 @t362 @t436)) % 1.73/1.98 (define @t440 () (forall @t424 (or @t9 @t178 @t420 @t419 (= @t417 @t416)))) % 1.73/1.98 (define @t441 () (or @t208 @t201 @t438 @t362 @t435)) % 1.73/1.98 (define @t442 () (or @t9 @t180 @t38)) % 1.73/1.98 (define @t443 () (and @t212 @t437)) % 1.73/1.98 (define @t444 () (or @t201 @t208 @t205 @t443)) % 1.73/1.98 (define @t445 () (tptp.k1_group_1 @t183 @t213 @t370)) % 1.73/1.98 (define @t446 () (= @t370 @t445)) % 1.73/1.98 (define @t447 () (tptp.k1_group_1 @t183 @t370 @t213)) % 1.73/1.98 (define @t448 () (= @t370 @t447)) % 1.73/1.98 (define @t449 () (and @t448 @t446)) % 1.73/1.98 (define @t450 () (or @t375 @t449)) % 1.73/1.98 (define @t451 () (not @t449)) % 1.73/1.98 (define @t452 () (@list @t449)) % 1.73/1.98 (define @t453 () (= @t16 @t174)) % 1.73/1.98 (define @t454 () (not @t170)) % 1.73/1.98 (define @t455 () (tptp.r2_hidden @t370 @t184)) % 1.73/1.98 (define @t456 () (or @t375 @t290 @t455)) % 1.73/1.98 (define @t457 () (tptp.k6_relat_1 @t184)) % 1.73/1.98 (define @t458 () (tptp.k1_funct_1 @t457 @t370)) % 1.73/1.98 (define @t459 () (= @t370 @t458)) % 1.73/1.98 (define @t460 () (not @t455)) % 1.73/1.98 (define @t461 () (or @t460 @t459)) % 1.73/1.98 (define @t462 () (not @t459)) % 1.73/1.98 (define @t463 () (not @t446)) % 1.73/1.98 (define @t464 () (not @t448)) % 1.73/1.98 (define @t465 () (not @t413)) % 1.73/1.98 (define @t466 () (not @t408)) % 1.73/1.98 (define @t467 () (not @t215)) % 1.73/1.98 (define @t468 () (= @t199 @t457)) % 1.73/1.98 (define @t469 () (not @t468)) % 1.73/1.98 (define @t470 () (= @t458 @t370)) % 1.73/1.98 (define @t471 () (not @t470)) % 1.73/1.98 (define @t472 () (and @t462 @t459)) % 1.73/1.98 (assume @p1 @t14) % 1.73/1.98 (assume @p2 (forall @t12 (=> @t5 (=> @t8 (= @t1 (tptp.g1_group_1 @t3 @t15)))))) % 1.73/1.98 (assume @p3 (forall @t19 (=> @t18 (not @t17)))) % 1.73/1.98 (assume @p4 (forall @t12 (=> @t24 (forall @t23 (=> @t22 (and @t21 @t20)))))) % 1.73/1.98 (assume @p5 (forall @t12 (=> @t26 @t25))) % 1.73/1.98 (assume @p6 @t36) % 1.73/1.98 (assume @p7 @t41) % 1.73/1.98 (assume @p8 (forall @t12 (=> (and @t42 (tptp.v3_relat_2 @t1) (tptp.v8_relat_2 @t1)) (and @t42 (tptp.v1_relat_2 @t1))))) % 1.73/1.98 (assume @p9 (forall @t35 (=> @t45 @t43))) % 1.73/1.98 (assume @p10 (forall @t12 (=> @t48 @t47))) % 1.73/1.98 (assume @p11 (forall @t35 (=> @t34 (=> @t50 @t49)))) % 1.73/1.98 (assume @p12 (forall @t35 (=> @t34 (=> @t49 @t50)))) % 1.73/1.98 (assume @p13 (forall @t19 (=> @t57 (=> (and @t20 @t56 @t55 @t53) (and @t20 @t54 @t53 @t52 @t51))))) % 1.73/1.98 (assume @p14 (forall @t19 (=> @t60 (forall @t58 (=> @t34 (=> @t30 (and @t29 @t31 @t28))))))) % 1.73/1.98 (assume @p15 (forall @t19 (=> (and @t63 @t60) (forall @t58 (=> @t34 (=> @t30 (and @t29 @t62 @t31 @t28))))))) % 1.73/1.98 (assume @p16 (forall @t19 (= @t64 (tptp.k2_tarski @t16 @t1)))) % 1.73/1.98 (assume @p17 (forall @t12 (=> @t65 (forall (@list @t16 @t27) (= (tptp.k1_binop_1 @t1 @t16 @t27) (tptp.k1_funct_1 @t1 (tptp.k4_tarski @t16 @t27))))))) % 1.73/1.98 (assume @p18 (forall @t12 (=> @t69 (forall @t23 (=> @t68 (forall @t58 (=> @t67 (= @t66 (tptp.k2_binop_1 @t3 @t3 @t3 @t15 @t16 @t27))))))))) % 1.73/1.98 (assume @p19 @t77) % 1.73/1.98 (assume @p20 @t98) % 1.73/1.98 (assume @p21 @t110) % 1.73/1.98 (assume @p22 (forall @t19 (= (tptp.k4_tarski @t1 @t16) (tptp.k2_tarski @t64 (tptp.k1_tarski @t1))))) % 1.73/1.98 (assume @p23 (forall @t19 (=> @t116 (and @t112 (tptp.l1_group_1 @t111))))) % 1.73/1.98 (assume @p24 true) % 1.73/1.98 (assume @p25 @t119) % 1.73/1.98 (assume @p26 (forall @t35 (=> (and @t10 @t5 @t68 @t67) (tptp.m1_subset_1 @t66 @t3)))) % 1.73/1.98 (assume @p27 (forall @t124 (=> @t123 (tptp.m1_subset_1 @t121 @t27)))) % 1.73/1.98 (assume @p28 @t126) % 1.73/1.98 (assume @p29 (forall @t35 (=> (and @t10 @t7 @t6 @t5 @t68 @t67) (tptp.m1_subset_1 @t70 @t3)))) % 1.73/1.98 (assume @p30 (forall @t19 (=> (and @t10 @t7 @t6 @t5 @t68) (tptp.m1_subset_1 (tptp.k3_group_1 @t1 @t16) @t3)))) % 1.73/1.98 (assume @p31 @t128) % 1.73/1.98 (assume @p32 @t132) % 1.73/1.98 (assume @p33 @t135) % 1.73/1.98 (assume @p34 (forall @t139 (=> @t138 (tptp.m1_subset_1 @t136 @t16)))) % 1.73/1.98 (assume @p35 @t141) % 1.73/1.98 (assume @p36 (forall @t35 (=> @t142 (and @t62 (tptp.v1_fraenkel @t27))))) % 1.73/1.98 (assume @p37 (forall @t35 (=> @t144 (forall @t86 (=> @t143 (and @t122 (tptp.v1_funct_2 @t78 @t1 @t16) (tptp.m2_relset_1 @t78 @t1 @t16))))))) % 1.73/1.98 (assume @p38 (forall @t35 (=> @t145 @t45))) % 1.73/1.98 (assume @p39 (forall @t12 (=> @t5 (and (tptp.v1_funct_1 @t15) (tptp.v1_funct_2 @t15 @t146 @t3) (tptp.m2_relset_1 @t15 @t146 @t3))))) % 1.73/1.98 (assume @p40 (exists @t12 @t5)) % 1.73/1.98 (assume @p41 (exists @t12 @t140)) % 1.73/1.98 (assume @p42 (forall @t19 (exists @t58 @t142))) % 1.73/1.98 (assume @p43 (forall @t19 (exists @t58 @t34))) % 1.73/1.98 (assume @p44 (forall @t12 (exists @t23 @t22))) % 1.73/1.98 (assume @p45 (forall @t35 (=> @t144 (exists @t86 @t143)))) % 1.73/1.98 (assume @p46 (forall @t19 (exists @t58 @t145))) % 1.73/1.98 (assume @p47 (forall @t19 (tptp.v1_fraenkel @t147))) % 1.73/1.98 (assume @p48 (forall @t19 (=> @t60 (not (tptp.v1_xboole_0 @t147))))) % 1.73/1.98 (assume @p49 (forall @t19 (=> (and @t63 @t20 @t115 @t114) (and (not (tptp.v3_struct_0 @t111)) @t112)))) % 1.73/1.98 (assume @p50 @t150) % 1.73/1.98 (assume @p51 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.73/1.98 (assume @p52 @t152) % 1.73/1.98 (assume @p53 (forall @t12 (not (tptp.v1_xboole_0 (tptp.k1_funct_2 @t1 @t1))))) % 1.73/1.98 (assume @p54 (forall @t12 (and @t134 @t151 (tptp.v1_relat_2 @t133) (tptp.v3_relat_2 @t133) (tptp.v4_relat_2 @t133) (tptp.v8_relat_2 @t133)))) % 1.73/1.98 (assume @p55 (forall @t19 (=> @t116 (forall (@list @t27 @t78) (=> (= @t111 (tptp.g1_group_1 @t27 @t78)) (and (= @t1 @t27) (= @t16 @t78))))))) % 1.73/1.98 (assume @p56 (exists @t12 (and @t63 @t24))) % 1.73/1.98 (assume @p57 (exists @t12 @t65)) % 1.73/1.98 (assume @p58 (forall @t19 (exists @t58 (and @t34 @t43 @t29 @t28)))) % 1.73/1.98 (assume @p59 (exists @t12 (and @t5 @t8))) % 1.73/1.98 (assume @p60 (exists @t12 (and @t42 @t25 @t46 @t26))) % 1.73/1.98 (assume @p61 (exists @t12 @t26)) % 1.73/1.98 (assume @p62 (exists @t12 @t48)) % 1.73/1.98 (assume @p63 (forall @t12 (exists @t23 (and @t57 @t21 @t20 @t54 @t53 @t52 @t51)))) % 1.73/1.98 (assume @p64 (exists @t12 (and @t5 @t10 @t8))) % 1.73/1.98 (assume @p65 (forall @t19 (exists @t58 (and @t34 @t43 @t29)))) % 1.73/1.98 (assume @p66 (exists @t12 @t63)) % 1.73/1.98 (assume @p67 (exists @t12 @t47)) % 1.73/1.98 (assume @p68 (exists @t12 (and @t5 @t10 @t8 @t37 @t7 @t6))) % 1.73/1.98 (assume @p69 (forall @t12 (exists @t23 (and @t57 @t21 @t55 (tptp.v3_relat_2 @t16) (tptp.v4_relat_2 @t16) (tptp.v8_relat_2 @t16) @t56)))) % 1.73/1.98 (assume @p70 (exists @t12 (and @t140 @t10))) % 1.73/1.98 (assume @p71 (forall @t12 (=> @t149 (exists @t23 (and (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t3)) @t60))))) % 1.73/1.98 (assume @p72 @t154) % 1.73/1.98 (assume @p73 (forall @t124 (=> @t123 (= @t121 (tptp.k1_binop_1 @t78 @t79 @t120))))) % 1.73/1.98 (assume @p74 (forall @t12 (= @t129 @t133))) % 1.73/1.98 (assume @p75 @t156) % 1.73/1.98 (assume @p76 @t158) % 1.73/1.98 (assume @p77 @t159) % 1.73/1.98 (assume @p78 (forall @t19 (tptp.r1_tarski @t1 @t1))) % 1.73/1.98 (assume @p79 @t166) % 1.73/1.98 (assume @p80 @t169) % 1.73/1.98 (assume @p81 @t171) % 1.73/1.98 (assume @p82 @t173) % 1.73/1.98 (assume @p83 @t176) % 1.73/1.98 (assume @p84 (forall @t19 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t16)) (tptp.r1_tarski @t1 @t16)))) % 1.73/1.98 (assume @p85 (forall @t35 (=> (and @t18 @t177) (tptp.m1_subset_1 @t1 @t27)))) % 1.73/1.98 (assume @p86 (forall @t35 (not (and @t18 @t177 @t61)))) % 1.73/1.98 (assume @p87 (forall @t12 (=> @t26 @t161))) % 1.73/1.98 (assume @p88 (forall @t19 (not (and @t18 @t59)))) % 1.73/1.98 (assume @p89 (forall @t19 (not (and @t26 (not (= @t1 @t16)) @t59)))) % 1.73/1.98 (step @p90 :rule instantiate :premises (@p74) :args (@t185)) % 1.73/1.98 (step @p91 :rule aci_norm :args ((= (or @t187 @t186) (or @t9 @t180 @t179 @t178 @t186)))) % 1.73/1.98 (step @p92 :rule refl :args (@t186)) % 1.73/1.98 (step @p93 :rule refl :args (@t178)) % 1.73/1.98 (step @p94 :rule refl :args (@t179)) % 1.73/1.98 (step @p95 :rule refl :args (@t180)) % 1.73/1.98 (step @p96 :rule bool-double-not-elim :args (@t9)) % 1.73/1.98 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args (@t189)) % 1.73/1.98 (step @p98 :rule aci_norm :args ((= (or @t188 @t190) @t189))) % 1.73/1.98 (step @p99 :rule trans :premises (@p98 @p97)) % 1.73/1.98 (step @p100 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 1.73/1.98 (step @p101 :rule nary_cong :premises (@p95 @p100) :args ((or @t180 (not (and @t6 @t5))))) % 1.73/1.98 (step @p102 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5))) % 1.73/1.98 (step @p103 :rule trans :premises (@p102 @p101)) % 1.73/1.98 (step @p104 :rule refl :args (@t188)) % 1.73/1.98 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t188 @t191))) % 1.73/1.98 (step @p106 :rule bool-and-de-morgan :args (@t10 @t7 (and @t6 @t5))) % 1.73/1.98 (step @p107 :rule trans :premises (@p106 @p105)) % 1.73/1.98 (step @p108 :rule trans :premises (@p107 @p99)) % 1.73/1.98 (step @p109 :rule nary_cong :premises (@p108 @p92) :args ((or @t192 @t186))) % 1.73/1.98 (step @p110 :rule trans :premises (@p109 @p91)) % 1.73/1.98 (step @p111 :rule bool-impl-elim :args (@t75 @t186)) % 1.73/1.98 (step @p112 :rule trans :premises (@p111 @p110)) % 1.73/1.98 (step @p113 :rule cong :premises (@p112) :args ((forall @t12 (=> @t75 @t186)))) % 1.73/1.98 (step @p114 :rule eq-symm :args (@t167 @t103)) % 1.73/1.98 (step @p115 :rule refl :args (@t75)) % 1.73/1.98 (step @p116 :rule cong :premises (@p115 @p114) :args (@t168)) % 1.73/1.98 (step @p117 :rule cong :premises (@p116) :args (@t169)) % 1.73/1.98 (step @p118 :rule trans :premises (@p117 @p113)) % 1.73/1.98 (step @p119 :rule eq_resolve :premises (@p80 @p118)) % 1.73/1.98 (step @p120 :rule instantiate :premises (@p119) :args (@t193)) % 1.73/1.98 (step @p121 :rule aci_norm :args ((= (or @t194 @t4) @t182))) % 1.73/1.98 (step @p122 :rule refl :args (@t4)) % 1.73/1.98 (step @p123 :rule refl :args (@t181)) % 1.73/1.98 (step @p124 :rule nary_cong :premises (@p96 @p123 @p95 @p94 @p93) :args (@t195)) % 1.73/1.98 (step @p125 :rule aci_norm :args ((= (or @t188 (or @t181 @t190)) @t195))) % 1.73/1.98 (step @p126 :rule trans :premises (@p125 @p124)) % 1.73/1.98 (step @p127 :rule nary_cong :premises (@p123 @p103) :args ((or @t181 @t191))) % 1.73/1.98 (step @p128 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t5))) % 1.73/1.98 (step @p129 :rule trans :premises (@p128 @p127)) % 1.73/1.98 (step @p130 :rule nary_cong :premises (@p104 @p129) :args ((or @t188 (not (and @t8 @t7 @t6 @t5))))) % 1.73/1.98 (step @p131 :rule bool-and-de-morgan :args (@t10 @t8 (and @t7 @t6 @t5))) % 1.73/1.98 (step @p132 :rule trans :premises (@p131 @p130)) % 1.73/1.98 (step @p133 :rule trans :premises (@p132 @p126)) % 1.73/1.98 (step @p134 :rule nary_cong :premises (@p133 @p122) :args ((or @t196 @t4))) % 1.73/1.98 (step @p135 :rule trans :premises (@p134 @p121)) % 1.73/1.98 (step @p136 :rule bool-impl-elim :args (@t11 @t4)) % 1.73/1.98 (step @p137 :rule trans :premises (@p136 @p135)) % 1.73/1.98 (step @p138 :rule cong :premises (@p137) :args (@t13)) % 1.73/1.98 (step @p139 :rule cong :premises (@p138) :args (@t14)) % 1.73/1.98 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 1.73/1.98 (step @p141 :rule skolemize :premises (@p140)) % 1.73/1.98 (step @p142 :rule bool-double-not-elim :args (@t197)) % 1.73/1.98 (step @p143 :rule refl :args (@t209)) % 1.73/1.98 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t209 (not @t201)))) % 1.73/1.98 (step @p145 :rule cnf_or_neg :args (@t209 4)) % 1.73/1.98 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 1.73/1.98 (step @p147 :rule reordering :premises (@p146) :args ((or @t197 @t209))) % 1.73/1.98 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t197 @t210 @t211)) % 1.73/1.98 (step @p149 :rule bool-double-not-elim :args (@t202)) % 1.73/1.98 (step @p150 :rule nary_cong :premises (@p143 @p149) :args ((or @t209 (not @t203)))) % 1.73/1.98 (step @p151 :rule cnf_or_neg :args (@t209 3)) % 1.73/1.98 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 1.73/1.98 (step @p153 :rule reordering :premises (@p152) :args ((or @t202 @t209))) % 1.73/1.98 (step @p154 :rule chain_m_resolution :premises (@p153 @p141) :args (@t202 @t210 @t211)) % 1.73/1.98 (step @p155 :rule bool-double-not-elim :args (@t204)) % 1.73/1.98 (step @p156 :rule nary_cong :premises (@p143 @p155) :args ((or @t209 (not @t205)))) % 1.73/1.98 (step @p157 :rule cnf_or_neg :args (@t209 2)) % 1.73/1.98 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 1.73/1.98 (step @p159 :rule reordering :premises (@p158) :args ((or @t204 @t209))) % 1.73/1.98 (step @p160 :rule chain_m_resolution :premises (@p159 @p141) :args (@t204 @t210 @t211)) % 1.73/1.98 (step @p161 :rule cnf_or_neg :args (@t209 0)) % 1.73/1.98 (step @p162 :rule chain_m_resolution :premises (@p161 @p141) :args (@t212 @t210 @t211)) % 1.73/1.98 (step @p163 :rule cnf_or_pos :args (@t216)) % 1.73/1.98 (step @p164 :rule reordering :premises (@p163) :args ((or @t208 @t205 @t203 @t201 @t215 (not @t216)))) % 1.73/1.98 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p160 @p154 @p148 @p120) :args (@t215 @t217 (@list @t208 @t204 @t202 @t197 @t216))) % 1.73/1.98 (step @p166 :rule eq-symm :args (@t219 @t221)) % 1.73/1.98 (step @p167 :rule refl :args (@t222)) % 1.73/1.98 (step @p168 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(step @p794 :rule trans :premises (@p793 @p769)) % 1.73/1.98 (step @p795 false :rule eq_resolve :premises (@p794 @p768)) % 1.73/1.98 (step-pop @p838 :rule scope :premises (@p795)) % 1.73/1.98 (step-pop @p839 :rule scope :premises (@p838)) % 1.73/1.98 (step @p796 :rule process_scope :premises (@p839) :args (false)) % 1.73/1.98 (assume-push @p840 @t468) % 1.73/1.98 (assume-push @p841 @t215) % 1.73/1.98 (assume-push @p842 @t377) % 1.73/1.98 (assume-push @p843 @t408) % 1.73/1.98 (assume-push @p844 @t413) % 1.73/1.98 (assume-push @p845 @t448) % 1.73/1.98 (assume-push @p846 @t446) % 1.73/1.98 (assume-push @p847 @t459) % 1.73/1.98 (step @p770 :rule bool-eq-false :args (@t459)) % 1.73/1.98 (step @p771 :rule symm :premises (@p770)) % 1.73/1.98 (step @p772 :rule eq-symm :args (@t458 @t370)) % 1.73/1.98 (step @p773 :rule cong :premises (@p772) :args (@t471)) % 1.73/1.98 (step @p774 :rule bool-eq-false :args (@t470)) % 1.73/1.98 (step @p775 :rule trans :premises (@p774 @p773)) % 1.73/1.98 (step @p776 :rule trans :premises (@p775 @p771)) % 1.73/1.98 (step @p777 :rule false_intro :premises (@p546)) % 1.73/1.98 (step @p778 :rule symm :premises (@p601)) % 1.73/1.98 (step @p779 :rule refl :args (@t213)) % 1.73/1.98 (step @p780 :rule refl :args (@t370)) % 1.73/1.98 (step @p781 :rule refl :args (@t183)) % 1.73/1.98 (step @p782 :rule cong :premises (@p781 @p165 @p780) :args (@t445)) % 1.73/1.98 (step @p783 :rule trans :premises (@p735 @p782)) % 1.73/1.98 (step @p784 :rule cong :premises (@p781 @p783 @p779) :args (@t447)) % 1.73/1.98 (step @p785 :rule trans :premises (@p732 @p784 @p778)) % 1.73/1.98 (step @p786 :rule symm :premises (@p631)) % 1.73/1.98 (step @p787 :rule symm :premises (@p90)) % 1.73/1.98 (step @p788 :rule cong :premises (@p787 @p780) :args (@t458)) % 1.73/1.99 (step @p789 :rule trans :premises (@p788 @p786)) % 1.73/1.99 (step @p790 :rule cong :premises (@p789 @p785) :args (@t470)) % 1.73/1.99 (step @p791 :rule trans :premises (@p790 @p777)) % 1.73/1.99 (step @p807 :rule eq_resolve :premises (@p791 @p776)) % 1.73/1.99 (step @p808 :rule false_elim :premises (@p807)) % 1.73/1.99 (step @p809 :rule and_intro :premises (@p808 @p756)) % 1.73/1.99 (step-pop @p848 :rule scope :premises (@p809)) % 1.73/1.99 (step-pop @p849 :rule scope :premises (@p848)) % 1.73/1.99 (step-pop @p850 :rule scope :premises (@p849)) % 1.73/1.99 (step-pop @p851 :rule scope :premises (@p850)) % 1.73/1.99 (step-pop @p852 :rule scope :premises (@p851)) % 1.73/1.99 (step-pop @p853 :rule scope :premises (@p852)) % 1.73/1.99 (step-pop @p854 :rule scope :premises (@p853)) % 1.73/1.99 (step-pop @p855 :rule scope :premises (@p854)) % 1.73/1.99 (step @p810 :rule process_scope :premises (@p855) :args (@t472)) % 1.73/1.99 (step @p819 :rule implies_elim :premises (@p810)) % 1.73/1.99 (step @p820 :rule resolution :premises (@p819 @p796) :args (true @t472)) % 1.73/1.99 (step @p821 :rule not_and :premises (@p820)) % 1.73/1.99 (step @p822 :rule eq_resolve :premises (@p821 @p765)) % 1.73/1.99 (step @p823 false :rule chain_m_resolution :premises (@p822 @p756 @p735 @p732 @p631 @p601 @p546 @p165 @p90) :args (false (@list false false false false false true false false) (@list @t459 @t446 @t448 @t413 @t408 @t373 @t215 @t468))) % 1.73/1.99 ) % 1.73/1.99 % SZS output end Proof % 1.73/1.99 % cvc5 exiting %------------------------------------------------------------------------------