TSTP Solution File: GRP623+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:14:18 EDT 2024
% Result : Theorem 265.69s 265.85s
% Output : Proof 265.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 06:29:30 EDT 2024
% 0.13/0.34 % CPUTime :
% 265.69/265.85 % SZS status Theorem for theBenchmark
% 265.69/265.85 % SZS output start Proof for theBenchmark
% 265.69/265.85
% 265.69/265.85 % Formula: t14_autgroup ( conjecture ) (definitionally) converted to clauses:
% 265.69/265.85 cnf(t14_autgroup-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 265.69/265.85 cnf(t14_autgroup-2, negated_conjecture, ( v1_group_1(skolem1) )).
% 265.69/265.85 cnf(t14_autgroup-3, negated_conjecture, ( v3_group_1(skolem1) )).
% 265.69/265.85 cnf(t14_autgroup-4, negated_conjecture, ( v4_group_1(skolem1) )).
% 265.69/265.85 cnf(t14_autgroup-5, negated_conjecture, ( l1_group_1(skolem1) )).
% 265.69/265.85 cnf(t14_autgroup-6, negated_conjecture, ( ~r1_tarski(k4_autgroup(skolem1), k1_autgroup(skolem1)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: abstractness_v1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(abstractness_v1_group_1-1, axiom, ( ~l1_group_1(_u1) | ~v1_group_1(_u1) | ( _u1 = g1_group_1(u1_struct_0(_u1), u1_group_1(_u1))) )).
% 265.69/265.85
% 265.69/265.85 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 265.69/265.85 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u3, _u2) | ~r2_hidden(_u2, _u3) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc1_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc1_fraenkel-1, axiom, ( ~v1_fraenkel(_u5) | ~m1_subset_1(_u4, _u5) | v1_relat_1(_u4) )).
% 265.69/265.85 cnf(cc1_fraenkel-2, axiom, ( ~v1_fraenkel(_u5) | ~m1_subset_1(_u4, _u5) | v1_funct_1(_u4) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc1_funct_1-1, axiom, ( ~v1_xboole_0(_u6) | v1_funct_1(_u6) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc1_funct_2 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc1_funct_2-1, axiom, ( ~m1_relset_1(_u7, _u9, _u8) | ~v1_funct_1(_u7) | ~v1_partfun1(_u7, _u9, _u8) | v1_funct_2(_u7, _u9, _u8) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc1_group_1-1, axiom, ( ~l1_group_1(_u10) | v3_struct_0(_u10) | ~v3_group_1(_u10) | v2_group_1(_u10) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u11, k1_zfmisc_1(k2_zfmisc_1(_u13, _u12))) | v1_relat_1(_u11) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc2_funct_1-1, axiom, ( ~v1_relat_1(_u14) | ~v1_xboole_0(_u14) | ~v1_funct_1(_u14) | v2_funct_1(_u14) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc5_funct_2 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc5_funct_2-1, axiom, ( v1_xboole_0(_u16) | ~m1_relset_1(_u15, _u17, _u16) | ~v1_funct_1(_u15) | ~v1_funct_2(_u15, _u17, _u16) | v1_partfun1(_u15, _u17, _u16) )).
% 265.69/265.85
% 265.69/265.85 % Formula: cc6_funct_2 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(cc6_funct_2-1, axiom, ( v1_xboole_0(_u20) | v1_xboole_0(_u19) | ~m1_relset_1(_u18, _u20, _u19) | ~v1_funct_1(_u18) | ~v1_funct_2(_u18, _u20, _u19) | ~v1_xboole_0(_u18) )).
% 265.69/265.85 cnf(cc6_funct_2-2, axiom, ( v1_xboole_0(_u20) | v1_xboole_0(_u19) | ~m1_relset_1(_u18, _u20, _u19) | ~v1_funct_1(_u18) | ~v1_funct_2(_u18, _u20, _u19) | v1_partfun1(_u18, _u20, _u19) )).
% 265.69/265.85
% 265.69/265.85 % Formula: d3_tarski ( axiom ) converted to clauses:
% 265.69/265.85 cnf(d3_tarski-1, axiom, ( ~r1_tarski(_u27, _u25) | ~r2_hidden(_u21, _u27) | r2_hidden(_u21, _u25) )).
% 265.69/265.85 cnf(d3_tarski-2, axiom, ( r1_tarski(_u28, _u26) | r2_hidden(skolem2(_u28, _u26), _u28) )).
% 265.69/265.85 cnf(d3_tarski-3, axiom, ( r1_tarski(_u28, _u26) | ~r2_hidden(skolem2(_u28, _u26), _u26) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_g1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_g1_group_1-1, axiom, ( ~v1_funct_1(_u29) | ~v1_funct_2(_u29, k2_zfmisc_1(_u30, _u30), _u30) | ~m1_relset_1(_u29, k2_zfmisc_1(_u30, _u30), _u30) | v1_group_1(g1_group_1(_u30, _u29)) )).
% 265.69/265.85 cnf(dt_g1_group_1-2, axiom, ( ~v1_funct_1(_u29) | ~v1_funct_2(_u29, k2_zfmisc_1(_u30, _u30), _u30) | ~m1_relset_1(_u29, k2_zfmisc_1(_u30, _u30), _u30) | l1_group_1(g1_group_1(_u30, _u29)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_k1_autgroup ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_k1_autgroup-1, axiom, ( v3_struct_0(_u31) | ~v1_group_1(_u31) | ~v3_group_1(_u31) | ~v4_group_1(_u31) | ~l1_group_1(_u31) | m1_fraenkel(k1_autgroup(_u31), u1_struct_0(_u31), u1_struct_0(_u31)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_k1_xboole_0, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_k1_zfmisc_1, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_k2_zfmisc_1, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_k4_autgroup ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_k4_autgroup-1, axiom, ( v3_struct_0(_u32) | ~v1_group_1(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | m1_fraenkel(k4_autgroup(_u32), u1_struct_0(_u32), u1_struct_0(_u32)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_l1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_l1_group_1-1, axiom, ( ~l1_group_1(_u33) | l1_struct_0(_u33) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_l1_struct_0, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_m1_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_m1_fraenkel-1, axiom, ( ~m1_fraenkel(_u34, _u36, _u35) | ~v1_xboole_0(_u34) )).
% 265.69/265.85 cnf(dt_m1_fraenkel-2, axiom, ( ~m1_fraenkel(_u34, _u36, _u35) | v1_fraenkel(_u34) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_m1_relset_1, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_m1_subset_1, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_m2_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_m2_fraenkel-1, axiom, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | v1_funct_1(_u37) )).
% 265.69/265.85 cnf(dt_m2_fraenkel-2, axiom, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | v1_funct_2(_u37, _u40, _u39) )).
% 265.69/265.85 cnf(dt_m2_fraenkel-3, axiom, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | m2_relset_1(_u37, _u40, _u39) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u41, _u43, _u42) | m1_subset_1(_u41, k1_zfmisc_1(k2_zfmisc_1(_u43, _u42))) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_u1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_u1_group_1-1, axiom, ( ~l1_group_1(_u44) | v1_funct_1(u1_group_1(_u44)) )).
% 265.69/265.85 cnf(dt_u1_group_1-2, axiom, ( ~l1_group_1(_u44) | v1_funct_2(u1_group_1(_u44), k2_zfmisc_1(u1_struct_0(_u44), u1_struct_0(_u44)), u1_struct_0(_u44)) )).
% 265.69/265.85 cnf(dt_u1_group_1-3, axiom, ( ~l1_group_1(_u44) | m2_relset_1(u1_group_1(_u44), k2_zfmisc_1(u1_struct_0(_u44), u1_struct_0(_u44)), u1_struct_0(_u44)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(dt_u1_struct_0, axiom, $true).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_l1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_l1_group_1-1, axiom, ( l1_group_1(skolem3) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem4) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_m1_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_m1_fraenkel-1, axiom, ( m1_fraenkel(skolem5(_u49, _u48), _u49, _u48) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem6(_u52, _u51), _u52, _u51) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem7(_u54), _u54) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_m2_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_m2_fraenkel-1, axiom, ( v1_xboole_0(_u57) | ~m1_fraenkel(_u56, _u58, _u57) | m2_fraenkel(skolem8(_u58, _u57, _u56), _u58, _u57, _u56) )).
% 265.69/265.85
% 265.69/265.85 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem9(_u61, _u60), _u61, _u60) )).
% 265.69/265.85
% 265.69/265.85 % Formula: fc1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(fc1_group_1-1, axiom, ( v1_xboole_0(_u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~v3_struct_0(g1_group_1(_u63, _u62)) )).
% 265.69/265.85 cnf(fc1_group_1-2, axiom, ( v1_xboole_0(_u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | v1_group_1(g1_group_1(_u63, _u62)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u64) | ~l1_struct_0(_u64) | ~v1_xboole_0(u1_struct_0(_u64)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 265.69/265.85
% 265.69/265.85 % Formula: free_g1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(free_g1_group_1-1, axiom, ( ~v1_funct_1(_u67) | ~v1_funct_2(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ~m1_relset_1(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ( g1_group_1(_u68, _u67) != g1_group_1(_u66, _u65)) | ( _u68 = _u66) )).
% 265.69/265.85 cnf(free_g1_group_1-2, axiom, ( ~v1_funct_1(_u67) | ~v1_funct_2(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ~m1_relset_1(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ( g1_group_1(_u68, _u67) != g1_group_1(_u66, _u65)) | ( _u67 = _u65) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_fraenkel-1, axiom, ( ~v1_xboole_0(skolem10) )).
% 265.69/265.85 cnf(rc1_fraenkel-2, axiom, ( v1_fraenkel(skolem10) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_funct_1-1, axiom, ( v1_relat_1(skolem11) )).
% 265.69/265.85 cnf(rc1_funct_1-2, axiom, ( v1_funct_1(skolem11) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_funct_2 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_funct_2-1, axiom, ( m1_relset_1(skolem12(_u73, _u72), _u73, _u72) )).
% 265.69/265.85 cnf(rc1_funct_2-2, axiom, ( v1_relat_1(skolem12(_u73, _u72)) )).
% 265.69/265.85 cnf(rc1_funct_2-3, axiom, ( v1_funct_1(skolem12(_u73, _u72)) )).
% 265.69/265.85 cnf(rc1_funct_2-4, axiom, ( v1_funct_2(skolem12(_u73, _u72), _u73, _u72) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_group_1-1, axiom, ( l1_group_1(skolem13) )).
% 265.69/265.85 cnf(rc1_group_1-2, axiom, ( v1_group_1(skolem13) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_partfun1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_partfun1-1, axiom, ( v1_relat_1(skolem14) )).
% 265.69/265.85 cnf(rc1_partfun1-2, axiom, ( v1_funct_1(skolem14) )).
% 265.69/265.85 cnf(rc1_partfun1-3, axiom, ( v2_funct_1(skolem14) )).
% 265.69/265.85 cnf(rc1_partfun1-4, axiom, ( v1_xboole_0(skolem14) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem15) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc2_funct_1-1, axiom, ( v1_relat_1(skolem16) )).
% 265.69/265.85 cnf(rc2_funct_1-2, axiom, ( v1_xboole_0(skolem16) )).
% 265.69/265.85 cnf(rc2_funct_1-3, axiom, ( v1_funct_1(skolem16) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc2_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc2_group_1-1, axiom, ( l1_group_1(skolem17) )).
% 265.69/265.85 cnf(rc2_group_1-2, axiom, ( ~v3_struct_0(skolem17) )).
% 265.69/265.85 cnf(rc2_group_1-3, axiom, ( v1_group_1(skolem17) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem18(_u81, _u80), _u81, _u80) )).
% 265.69/265.85 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem18(_u81, _u80)) )).
% 265.69/265.85 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem18(_u81, _u80)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem19) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc3_funct_1-1, axiom, ( v1_relat_1(skolem20) )).
% 265.69/265.85 cnf(rc3_funct_1-2, axiom, ( v1_funct_1(skolem20) )).
% 265.69/265.85 cnf(rc3_funct_1-3, axiom, ( v2_funct_1(skolem20) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc3_group_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc3_group_1-1, axiom, ( l1_group_1(skolem21) )).
% 265.69/265.85 cnf(rc3_group_1-2, axiom, ( ~v3_struct_0(skolem21) )).
% 265.69/265.85 cnf(rc3_group_1-3, axiom, ( v1_group_1(skolem21) )).
% 265.69/265.85 cnf(rc3_group_1-4, axiom, ( v2_group_1(skolem21) )).
% 265.69/265.85 cnf(rc3_group_1-5, axiom, ( v3_group_1(skolem21) )).
% 265.69/265.85 cnf(rc3_group_1-6, axiom, ( v4_group_1(skolem21) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem22) )).
% 265.69/265.85 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem22) )).
% 265.69/265.85
% 265.69/265.85 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | m1_subset_1(skolem23(_u87), k1_zfmisc_1(u1_struct_0(_u87))) )).
% 265.69/265.85 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | ~v1_xboole_0(skolem23(_u87)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: redefinition_m2_fraenkel ( axiom ) converted to clauses:
% 265.69/265.85 cnf(redefinition_m2_fraenkel-1, axiom, ( v1_xboole_0(_u90) | ~m1_fraenkel(_u89, _u91, _u90) | ~m2_fraenkel(_u92, _u91, _u90, _u89) | m1_subset_1(_u92, _u89) )).
% 265.69/265.85 cnf(redefinition_m2_fraenkel-2, axiom, ( v1_xboole_0(_u90) | ~m1_fraenkel(_u89, _u91, _u90) | ~m1_subset_1(_u93, _u89) | m2_fraenkel(_u93, _u91, _u90, _u89) )).
% 265.69/265.85
% 265.69/265.85 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 265.69/265.85 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u97, _u101, _u99) | m1_relset_1(_u97, _u101, _u99) )).
% 265.69/265.85 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u98, _u102, _u100) | m2_relset_1(_u98, _u102, _u100) )).
% 265.69/265.85
% 265.69/265.85 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 265.69/265.85 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u104, _u104) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t13_autgroup ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t13_autgroup-1, axiom, ( v3_struct_0(_u106) | ~v1_group_1(_u106) | ~v3_group_1(_u106) | ~v4_group_1(_u106) | ~l1_group_1(_u106) | ~m2_fraenkel(_u105, u1_struct_0(_u106), u1_struct_0(_u106), k4_autgroup(_u106)) | m2_fraenkel(_u105, u1_struct_0(_u106), u1_struct_0(_u106), k1_autgroup(_u106)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t1_subset ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u108, _u107) | m1_subset_1(_u108, _u107) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t2_subset ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u110, _u109) | v1_xboole_0(_u109) | r2_hidden(_u110, _u109) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t3_subset ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u115, k1_zfmisc_1(_u113)) | r1_tarski(_u115, _u113) )).
% 265.69/265.85 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u116, _u114) | m1_subset_1(_u116, k1_zfmisc_1(_u114)) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t4_subset ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u119, _u118) | ~m1_subset_1(_u118, k1_zfmisc_1(_u117)) | m1_subset_1(_u119, _u117) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t5_subset ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u122, _u121) | ~m1_subset_1(_u121, k1_zfmisc_1(_u120)) | ~v1_xboole_0(_u120) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t6_boole ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u123) | ( _u123 = k1_xboole_0) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t7_boole ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u125, _u124) | ~v1_xboole_0(_u124) )).
% 265.69/265.85
% 265.69/265.85 % Formula: t8_boole ( axiom ) converted to clauses:
% 265.69/265.85 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u127) | ( _u127 = _u126) | ~v1_xboole_0(_u126) )).
% 265.69/265.85
% 265.69/265.85 % Problem matrix:
% 265.69/265.85 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 265.69/265.85 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 265.69/265.85 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 265.69/265.85 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( k4_autgroup(__eqx_0) = k4_autgroup(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( k1_autgroup(__eqx_0) = k1_autgroup(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( u1_group_1(__eqx_0) = u1_group_1(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( g1_group_1(__eqx_0, __eqx_1) = g1_group_1(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 265.69/265.85 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 265.69/265.85 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem23(__eqx_0) = skolem23(__eqy_0)) )).
% 265.69/265.85 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 265.69/265.85 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_group_1(__eqx_0) | v1_group_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v3_group_1(__eqx_0) | v3_group_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v4_group_1(__eqx_0) | v4_group_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~l1_group_1(__eqx_0) | l1_group_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 265.69/265.85 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 265.69/265.85 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~v1_fraenkel(__eqx_0) | v1_fraenkel(__eqy_0) )).
% 265.69/265.85 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 265.69/265.85 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 265.69/265.85 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m1_relset_1(__eqx_0, __eqx_1, __eqx_2) | m1_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 265.69/265.85 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~v1_partfun1(__eqx_0, __eqx_1, __eqx_2) | v1_partfun1(__eqy_0, __eqy_1, __eqy_2) )).
% 265.69/265.85 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~v1_funct_2(__eqx_0, __eqx_1, __eqx_2) | v1_funct_2(__eqy_0, __eqy_1, __eqy_2) )).
% 265.69/265.85 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~v2_group_1(__eqx_0) | v2_group_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ~v2_funct_1(__eqx_0) | v2_funct_1(__eqy_0) )).
% 265.69/265.85 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m1_fraenkel(__eqx_0, __eqx_1, __eqx_2) | m1_fraenkel(__eqy_0, __eqy_1, __eqy_2) )).
% 265.69/265.85 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 265.69/265.85 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~m2_fraenkel(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | m2_fraenkel(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 265.69/265.85 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m2_relset_1(__eqx_0, __eqx_1, __eqx_2) | m2_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 265.69/265.85 cnf(matrix-40, plain, ( ~v3_struct_0(skolem1) )).
% 265.69/265.85 cnf(matrix-41, plain, ( v1_group_1(skolem1) )).
% 265.69/265.85 cnf(matrix-42, plain, ( v3_group_1(skolem1) )).
% 265.69/265.85 cnf(matrix-43, plain, ( v4_group_1(skolem1) )).
% 265.69/265.85 cnf(matrix-44, plain, ( l1_group_1(skolem1) )).
% 265.69/265.85 cnf(matrix-45, plain, ( ~r1_tarski(k4_autgroup(skolem1), k1_autgroup(skolem1)) )).
% 265.69/265.85 cnf(matrix-46, plain, ( ~l1_group_1(_u1) | ~v1_group_1(_u1) | ( _u1 = g1_group_1(u1_struct_0(_u1), u1_group_1(_u1))) )).
% 265.69/265.85 cnf(matrix-47, plain, ( ~r2_hidden(_u3, _u2) | ~r2_hidden(_u2, _u3) )).
% 265.69/265.85 cnf(matrix-48, plain, ( ~v1_fraenkel(_u5) | ~m1_subset_1(_u4, _u5) | v1_relat_1(_u4) )).
% 265.69/265.85 cnf(matrix-49, plain, ( ~v1_fraenkel(_u5) | ~m1_subset_1(_u4, _u5) | v1_funct_1(_u4) )).
% 265.69/265.85 cnf(matrix-50, plain, ( ~v1_xboole_0(_u6) | v1_funct_1(_u6) )).
% 265.69/265.85 cnf(matrix-51, plain, ( ~m1_relset_1(_u7, _u9, _u8) | ~v1_funct_1(_u7) | ~v1_partfun1(_u7, _u9, _u8) | v1_funct_2(_u7, _u9, _u8) )).
% 265.69/265.85 cnf(matrix-52, plain, ( ~l1_group_1(_u10) | v3_struct_0(_u10) | ~v3_group_1(_u10) | v2_group_1(_u10) )).
% 265.69/265.85 cnf(matrix-53, plain, ( ~m1_subset_1(_u11, k1_zfmisc_1(k2_zfmisc_1(_u13, _u12))) | v1_relat_1(_u11) )).
% 265.69/265.85 cnf(matrix-54, plain, ( ~v1_relat_1(_u14) | ~v1_xboole_0(_u14) | ~v1_funct_1(_u14) | v2_funct_1(_u14) )).
% 265.69/265.85 cnf(matrix-55, plain, ( v1_xboole_0(_u16) | ~m1_relset_1(_u15, _u17, _u16) | ~v1_funct_1(_u15) | ~v1_funct_2(_u15, _u17, _u16) | v1_partfun1(_u15, _u17, _u16) )).
% 265.69/265.85 cnf(matrix-56, plain, ( v1_xboole_0(_u20) | v1_xboole_0(_u19) | ~m1_relset_1(_u18, _u20, _u19) | ~v1_funct_1(_u18) | ~v1_funct_2(_u18, _u20, _u19) | ~v1_xboole_0(_u18) )).
% 265.69/265.85 cnf(matrix-57, plain, ( v1_xboole_0(_u20) | v1_xboole_0(_u19) | ~m1_relset_1(_u18, _u20, _u19) | ~v1_funct_1(_u18) | ~v1_funct_2(_u18, _u20, _u19) | v1_partfun1(_u18, _u20, _u19) )).
% 265.69/265.85 cnf(matrix-58, plain, ( ~r1_tarski(_u27, _u25) | ~r2_hidden(_u21, _u27) | r2_hidden(_u21, _u25) )).
% 265.69/265.85 cnf(matrix-59, plain, ( r1_tarski(_u28, _u26) | r2_hidden(skolem2(_u28, _u26), _u28) )).
% 265.69/265.85 cnf(matrix-60, plain, ( r1_tarski(_u28, _u26) | ~r2_hidden(skolem2(_u28, _u26), _u26) )).
% 265.69/265.85 cnf(matrix-61, plain, ( ~v1_funct_1(_u29) | ~v1_funct_2(_u29, k2_zfmisc_1(_u30, _u30), _u30) | ~m1_relset_1(_u29, k2_zfmisc_1(_u30, _u30), _u30) | v1_group_1(g1_group_1(_u30, _u29)) )).
% 265.69/265.85 cnf(matrix-62, plain, ( ~v1_funct_1(_u29) | ~v1_funct_2(_u29, k2_zfmisc_1(_u30, _u30), _u30) | ~m1_relset_1(_u29, k2_zfmisc_1(_u30, _u30), _u30) | l1_group_1(g1_group_1(_u30, _u29)) )).
% 265.69/265.85 cnf(matrix-63, plain, ( v3_struct_0(_u31) | ~v1_group_1(_u31) | ~v3_group_1(_u31) | ~v4_group_1(_u31) | ~l1_group_1(_u31) | m1_fraenkel(k1_autgroup(_u31), u1_struct_0(_u31), u1_struct_0(_u31)) )).
% 265.69/265.85 cnf(matrix-64, plain, ( v3_struct_0(_u32) | ~v1_group_1(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | m1_fraenkel(k4_autgroup(_u32), u1_struct_0(_u32), u1_struct_0(_u32)) )).
% 265.69/265.85 cnf(matrix-65, plain, ( ~l1_group_1(_u33) | l1_struct_0(_u33) )).
% 265.69/265.85 cnf(matrix-66, plain, ( ~m1_fraenkel(_u34, _u36, _u35) | ~v1_xboole_0(_u34) )).
% 265.69/265.85 cnf(matrix-67, plain, ( ~m1_fraenkel(_u34, _u36, _u35) | v1_fraenkel(_u34) )).
% 265.69/265.85 cnf(matrix-68, plain, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | v1_funct_1(_u37) )).
% 265.69/265.85 cnf(matrix-69, plain, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | v1_funct_2(_u37, _u40, _u39) )).
% 265.69/265.85 cnf(matrix-70, plain, ( v1_xboole_0(_u39) | ~m1_fraenkel(_u38, _u40, _u39) | ~m2_fraenkel(_u37, _u40, _u39, _u38) | m2_relset_1(_u37, _u40, _u39) )).
% 265.69/265.85 cnf(matrix-71, plain, ( ~m2_relset_1(_u41, _u43, _u42) | m1_subset_1(_u41, k1_zfmisc_1(k2_zfmisc_1(_u43, _u42))) )).
% 265.69/265.85 cnf(matrix-72, plain, ( ~l1_group_1(_u44) | v1_funct_1(u1_group_1(_u44)) )).
% 265.69/265.85 cnf(matrix-73, plain, ( ~l1_group_1(_u44) | v1_funct_2(u1_group_1(_u44), k2_zfmisc_1(u1_struct_0(_u44), u1_struct_0(_u44)), u1_struct_0(_u44)) )).
% 265.69/265.85 cnf(matrix-74, plain, ( ~l1_group_1(_u44) | m2_relset_1(u1_group_1(_u44), k2_zfmisc_1(u1_struct_0(_u44), u1_struct_0(_u44)), u1_struct_0(_u44)) )).
% 265.69/265.85 cnf(matrix-75, plain, ( l1_group_1(skolem3) )).
% 265.69/265.85 cnf(matrix-76, plain, ( l1_struct_0(skolem4) )).
% 265.69/265.85 cnf(matrix-77, plain, ( m1_fraenkel(skolem5(_u49, _u48), _u49, _u48) )).
% 265.69/265.85 cnf(matrix-78, plain, ( m1_relset_1(skolem6(_u52, _u51), _u52, _u51) )).
% 265.69/265.85 cnf(matrix-79, plain, ( m1_subset_1(skolem7(_u54), _u54) )).
% 265.69/265.85 cnf(matrix-80, plain, ( v1_xboole_0(_u57) | ~m1_fraenkel(_u56, _u58, _u57) | m2_fraenkel(skolem8(_u58, _u57, _u56), _u58, _u57, _u56) )).
% 265.69/265.85 cnf(matrix-81, plain, ( m2_relset_1(skolem9(_u61, _u60), _u61, _u60) )).
% 265.69/265.85 cnf(matrix-82, plain, ( v1_xboole_0(_u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~v3_struct_0(g1_group_1(_u63, _u62)) )).
% 265.69/265.85 cnf(matrix-83, plain, ( v1_xboole_0(_u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | v1_group_1(g1_group_1(_u63, _u62)) )).
% 265.69/265.85 cnf(matrix-84, plain, ( v3_struct_0(_u64) | ~l1_struct_0(_u64) | ~v1_xboole_0(u1_struct_0(_u64)) )).
% 265.69/265.85 cnf(matrix-85, plain, ( v1_xboole_0(k1_xboole_0) )).
% 265.69/265.85 cnf(matrix-86, plain, ( ~v1_funct_1(_u67) | ~v1_funct_2(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ~m1_relset_1(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ( g1_group_1(_u68, _u67) != g1_group_1(_u66, _u65)) | ( _u68 = _u66) )).
% 265.69/265.85 cnf(matrix-87, plain, ( ~v1_funct_1(_u67) | ~v1_funct_2(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ~m1_relset_1(_u67, k2_zfmisc_1(_u68, _u68), _u68) | ( g1_group_1(_u68, _u67) != g1_group_1(_u66, _u65)) | ( _u67 = _u65) )).
% 265.69/265.85 cnf(matrix-88, plain, ( ~v1_xboole_0(skolem10) )).
% 265.69/265.85 cnf(matrix-89, plain, ( v1_fraenkel(skolem10) )).
% 265.69/265.85 cnf(matrix-90, plain, ( v1_relat_1(skolem11) )).
% 265.69/265.85 cnf(matrix-91, plain, ( v1_funct_1(skolem11) )).
% 265.69/265.85 cnf(matrix-92, plain, ( m1_relset_1(skolem12(_u73, _u72), _u73, _u72) )).
% 265.69/265.85 cnf(matrix-93, plain, ( v1_relat_1(skolem12(_u73, _u72)) )).
% 265.69/265.85 cnf(matrix-94, plain, ( v1_funct_1(skolem12(_u73, _u72)) )).
% 265.69/265.85 cnf(matrix-95, plain, ( v1_funct_2(skolem12(_u73, _u72), _u73, _u72) )).
% 265.69/265.85 cnf(matrix-96, plain, ( l1_group_1(skolem13) )).
% 265.69/265.85 cnf(matrix-97, plain, ( v1_group_1(skolem13) )).
% 265.69/265.85 cnf(matrix-98, plain, ( v1_relat_1(skolem14) )).
% 265.69/265.85 cnf(matrix-99, plain, ( v1_funct_1(skolem14) )).
% 265.69/265.85 cnf(matrix-100, plain, ( v2_funct_1(skolem14) )).
% 265.69/265.85 cnf(matrix-101, plain, ( v1_xboole_0(skolem14) )).
% 265.69/265.85 cnf(matrix-102, plain, ( v1_xboole_0(skolem15) )).
% 265.69/265.85 cnf(matrix-103, plain, ( v1_relat_1(skolem16) )).
% 265.69/265.85 cnf(matrix-104, plain, ( v1_xboole_0(skolem16) )).
% 265.69/265.85 cnf(matrix-105, plain, ( v1_funct_1(skolem16) )).
% 265.69/265.85 cnf(matrix-106, plain, ( l1_group_1(skolem17) )).
% 265.69/265.85 cnf(matrix-107, plain, ( ~v3_struct_0(skolem17) )).
% 265.69/265.85 cnf(matrix-108, plain, ( v1_group_1(skolem17) )).
% 265.69/265.85 cnf(matrix-109, plain, ( m1_relset_1(skolem18(_u81, _u80), _u81, _u80) )).
% 265.69/265.85 cnf(matrix-110, plain, ( v1_relat_1(skolem18(_u81, _u80)) )).
% 265.69/265.85 cnf(matrix-111, plain, ( v1_funct_1(skolem18(_u81, _u80)) )).
% 265.69/265.85 cnf(matrix-112, plain, ( ~v1_xboole_0(skolem19) )).
% 265.69/265.85 cnf(matrix-113, plain, ( v1_relat_1(skolem20) )).
% 265.69/265.85 cnf(matrix-114, plain, ( v1_funct_1(skolem20) )).
% 265.69/265.85 cnf(matrix-115, plain, ( v2_funct_1(skolem20) )).
% 265.69/265.85 cnf(matrix-116, plain, ( l1_group_1(skolem21) )).
% 265.69/265.85 cnf(matrix-117, plain, ( ~v3_struct_0(skolem21) )).
% 265.69/265.85 cnf(matrix-118, plain, ( v1_group_1(skolem21) )).
% 265.69/265.85 cnf(matrix-119, plain, ( v2_group_1(skolem21) )).
% 265.69/265.85 cnf(matrix-120, plain, ( v3_group_1(skolem21) )).
% 265.69/265.85 cnf(matrix-121, plain, ( v4_group_1(skolem21) )).
% 265.69/265.85 cnf(matrix-122, plain, ( l1_struct_0(skolem22) )).
% 265.69/265.85 cnf(matrix-123, plain, ( ~v3_struct_0(skolem22) )).
% 265.69/265.85 cnf(matrix-124, plain, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | m1_subset_1(skolem23(_u87), k1_zfmisc_1(u1_struct_0(_u87))) )).
% 265.69/265.85 cnf(matrix-125, plain, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | ~v1_xboole_0(skolem23(_u87)) )).
% 265.69/265.85 cnf(matrix-126, plain, ( v1_xboole_0(_u90) | ~m1_fraenkel(_u89, _u91, _u90) | ~m2_fraenkel(_u92, _u91, _u90, _u89) | m1_subset_1(_u92, _u89) )).
% 265.69/265.85 cnf(matrix-127, plain, ( v1_xboole_0(_u90) | ~m1_fraenkel(_u89, _u91, _u90) | ~m1_subset_1(_u93, _u89) | m2_fraenkel(_u93, _u91, _u90, _u89) )).
% 265.69/265.85 cnf(matrix-128, plain, ( ~m2_relset_1(_u97, _u101, _u99) | m1_relset_1(_u97, _u101, _u99) )).
% 265.69/265.85 cnf(matrix-129, plain, ( ~m1_relset_1(_u98, _u102, _u100) | m2_relset_1(_u98, _u102, _u100) )).
% 265.69/265.85 cnf(matrix-130, plain, ( r1_tarski(_u104, _u104) )).
% 265.69/265.85 cnf(matrix-131, plain, ( v3_struct_0(_u106) | ~v1_group_1(_u106) | ~v3_group_1(_u106) | ~v4_group_1(_u106) | ~l1_group_1(_u106) | ~m2_fraenkel(_u105, u1_struct_0(_u106), u1_struct_0(_u106), k4_autgroup(_u106)) | m2_fraenkel(_u105, u1_struct_0(_u106), u1_struct_0(_u106), k1_autgroup(_u106)) )).
% 265.69/265.85 cnf(matrix-132, plain, ( ~r2_hidden(_u108, _u107) | m1_subset_1(_u108, _u107) )).
% 265.69/265.85 cnf(matrix-133, plain, ( ~m1_subset_1(_u110, _u109) | v1_xboole_0(_u109) | r2_hidden(_u110, _u109) )).
% 265.69/265.85 cnf(matrix-134, plain, ( ~m1_subset_1(_u115, k1_zfmisc_1(_u113)) | r1_tarski(_u115, _u113) )).
% 265.69/265.85 cnf(matrix-135, plain, ( ~r1_tarski(_u116, _u114) | m1_subset_1(_u116, k1_zfmisc_1(_u114)) )).
% 265.69/265.85 cnf(matrix-136, plain, ( ~r2_hidden(_u119, _u118) | ~m1_subset_1(_u118, k1_zfmisc_1(_u117)) | m1_subset_1(_u119, _u117) )).
% 265.69/265.85 cnf(matrix-137, plain, ( ~r2_hidden(_u122, _u121) | ~m1_subset_1(_u121, k1_zfmisc_1(_u120)) | ~v1_xboole_0(_u120) )).
% 265.69/265.85 cnf(matrix-138, plain, ( ~v1_xboole_0(_u123) | ( _u123 = k1_xboole_0) )).
% 265.69/265.85 cnf(matrix-139, plain, ( ~r2_hidden(_u125, _u124) | ~v1_xboole_0(_u124) )).
% 265.69/265.85 cnf(matrix-140, plain, ( ~v1_xboole_0(_u127) | ( _u127 = _u126) | ~v1_xboole_0(_u126) )).
% 265.69/265.85
% 265.69/265.85 % Proof stack:
% 265.69/265.85 cnf(proof-stack, plain,
% 265.69/265.85 proof_stack(
% 265.69/265.85 start(40),
% 265.69/265.85 left_branch(0, 131, 0, 2),
% 265.69/265.85 left_branch(0, 126, 2, 3),
% 265.69/265.85 left_branch(0, 84, 2, 4),
% 265.69/265.85 reduction(0, 0),
% 265.69/265.85 left_branch(0, 65, 1, 6),
% 265.69/265.85 left_branch(0, 44, 0, 7),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 right_branch(6),
% 265.69/265.85 right_branch(4),
% 265.69/265.85 left_branch(0, 133, 0, 5),
% 265.69/265.85 left_branch(0, 60, 1, 6),
% 265.69/265.85 left_branch(0, 45, 0, 7),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 right_branch(6),
% 265.69/265.85 left_branch(0, 66, 1, 7),
% 265.69/265.85 left_branch(0, 63, 5, 8),
% 265.69/265.85 reduction(0, 0),
% 265.69/265.85 left_branch(0, 44, 0, 10),
% 265.69/265.85 right_branch(10),
% 265.69/265.85 left_branch(0, 43, 0, 11),
% 265.69/265.85 right_branch(11),
% 265.69/265.85 left_branch(0, 42, 0, 12),
% 265.69/265.85 right_branch(12),
% 265.69/265.85 left_branch(0, 41, 0, 13),
% 265.69/265.85 right_branch(13),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 right_branch(5),
% 265.69/265.85 left_branch(0, 63, 5, 6),
% 265.69/265.85 reduction(0, 0),
% 265.69/265.85 left_branch(0, 44, 0, 8),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 left_branch(0, 43, 0, 9),
% 265.69/265.85 right_branch(9),
% 265.69/265.85 left_branch(0, 42, 0, 10),
% 265.69/265.85 right_branch(10),
% 265.69/265.85 left_branch(0, 41, 0, 11),
% 265.69/265.85 right_branch(11),
% 265.69/265.85 right_branch(6),
% 265.69/265.85 right_branch(3),
% 265.69/265.85 left_branch(0, 127, 3, 4),
% 265.69/265.85 left_branch(0, 84, 2, 5),
% 265.69/265.85 reduction(0, 0),
% 265.69/265.85 left_branch(0, 65, 1, 7),
% 265.69/265.85 left_branch(0, 44, 0, 8),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 right_branch(5),
% 265.69/265.85 left_branch(0, 136, 2, 6),
% 265.69/265.85 left_branch(0, 59, 1, 7),
% 265.69/265.85 left_branch(0, 45, 0, 8),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 left_branch(0, 135, 1, 8),
% 265.69/265.85 left_branch(0, 130, 0, 9),
% 265.69/265.85 right_branch(9),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 right_branch(6),
% 265.69/265.85 left_branch(0, 64, 5, 7),
% 265.69/265.85 reduction(0, 0),
% 265.69/265.85 left_branch(0, 44, 0, 9),
% 265.69/265.85 right_branch(9),
% 265.69/265.85 left_branch(0, 43, 0, 10),
% 265.69/265.85 right_branch(10),
% 265.69/265.85 left_branch(0, 42, 0, 11),
% 265.69/265.85 right_branch(11),
% 265.69/265.85 left_branch(0, 41, 0, 12),
% 265.69/265.85 right_branch(12),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 right_branch(4),
% 265.69/265.85 left_branch(0, 44, 0, 5),
% 265.69/265.85 right_branch(5),
% 265.69/265.85 left_branch(0, 43, 0, 6),
% 265.69/265.85 right_branch(6),
% 265.69/265.85 left_branch(0, 42, 0, 7),
% 265.69/265.85 right_branch(7),
% 265.69/265.85 left_branch(0, 41, 0, 8),
% 265.69/265.85 right_branch(8),
% 265.69/265.85 right_branch(2)
% 265.69/265.85 )).
% 265.69/265.85 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------