TSTP Solution File: GRP645+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP645+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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:14:25 EDT 2024
% Result : Theorem 55.10s 55.31s
% Output : Proof 55.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n027.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 06:58:01 EDT 2024
% 0.13/0.35 % CPUTime :
% 55.10/55.31 % SZS status Theorem for theBenchmark
% 55.10/55.31 % SZS output start Proof for theBenchmark
% 55.10/55.31
% 55.10/55.31 % Formula: t24_latsubgr ( conjecture ) (definitionally) converted to clauses:
% 55.10/55.31 cnf(t24_latsubgr-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-2, negated_conjecture, ( v3_group_1(skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-3, negated_conjecture, ( v4_group_1(skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-4, negated_conjecture, ( l1_group_1(skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-5, negated_conjecture, ( v1_group_1(skolem2) )).
% 55.10/55.31 cnf(t24_latsubgr-6, negated_conjecture, ( m1_group_2(skolem2, skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-7, negated_conjecture, ( v1_group_1(skolem3) )).
% 55.10/55.31 cnf(t24_latsubgr-8, negated_conjecture, ( m1_group_2(skolem3, skolem1) )).
% 55.10/55.31 cnf(t24_latsubgr-9, negated_conjecture, ( ( k1_funct_1(k1_latsubgr(skolem1), k9_group_2(skolem1, skolem2, skolem3)) != k3_xboole_0(k1_funct_1(k1_latsubgr(skolem1), skolem2), k1_funct_1(k1_latsubgr(skolem1), skolem3))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: abstractness_v1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(abstractness_v1_group_1-1, axiom, ( ~l1_group_1(_u3) | ~v1_group_1(_u3) | ( _u3 = g1_group_1(u1_struct_0(_u3), u1_group_1(_u3))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 55.10/55.31 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 55.10/55.31
% 55.10/55.31 % Formula: cc1_funct_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(cc1_funct_2-1, axiom, ( ~m1_relset_1(_u6, _u8, _u7) | ~v1_funct_1(_u6) | ~v1_partfun1(_u6, _u8, _u7) | v1_funct_2(_u6, _u8, _u7) )).
% 55.10/55.31
% 55.10/55.31 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 55.10/55.31
% 55.10/55.31 % Formula: cc5_funct_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(cc5_funct_2-1, axiom, ( v1_xboole_0(_u13) | ~m1_relset_1(_u12, _u14, _u13) | ~v1_funct_1(_u12) | ~v1_funct_2(_u12, _u14, _u13) | v1_partfun1(_u12, _u14, _u13) )).
% 55.10/55.31
% 55.10/55.31 % Formula: cc6_funct_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(cc6_funct_2-1, axiom, ( v1_xboole_0(_u17) | v1_xboole_0(_u16) | ~m1_relset_1(_u15, _u17, _u16) | ~v1_funct_1(_u15) | ~v1_funct_2(_u15, _u17, _u16) | ~v1_xboole_0(_u15) )).
% 55.10/55.31 cnf(cc6_funct_2-2, axiom, ( v1_xboole_0(_u17) | 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) )).
% 55.10/55.31
% 55.10/55.31 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(commutativity_k3_xboole_0-1, axiom, ( ( k3_xboole_0(_u19, _u18) = k3_xboole_0(_u18, _u19)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: commutativity_k9_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(commutativity_k9_group_2-1, axiom, ( v3_struct_0(_u22) | ~v3_group_1(_u22) | ~v4_group_1(_u22) | ~l1_group_1(_u22) | ~m1_group_2(_u21, _u22) | ~m1_group_2(_u20, _u22) | ( k9_group_2(_u22, _u21, _u20) = k9_group_2(_u22, _u20, _u21)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: d1_latsubgr ( axiom ) converted to clauses:
% 55.10/55.31 cnf(d1_latsubgr-1, axiom, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 != k1_latsubgr(_u26)) | ~v1_group_1(_u23) | ~m1_group_2(_u23, _u26) | ( k1_funct_1(_u25, _u23) = u1_struct_0(_u23)) )).
% 55.10/55.31 cnf(d1_latsubgr-2, axiom, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | v1_group_1(skolem4(_u26, _u25)) )).
% 55.10/55.31 cnf(d1_latsubgr-3, axiom, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | m1_group_2(skolem4(_u26, _u25), _u26) )).
% 55.10/55.31 cnf(d1_latsubgr-4, axiom, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | ( k1_funct_1(_u25, skolem4(_u26, _u25)) != u1_struct_0(skolem4(_u26, _u25))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_g1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_g1_group_1-1, axiom, ( ~v1_funct_1(_u27) | ~v1_funct_2(_u27, k2_zfmisc_1(_u28, _u28), _u28) | ~m1_relset_1(_u27, k2_zfmisc_1(_u28, _u28), _u28) | v1_group_1(g1_group_1(_u28, _u27)) )).
% 55.10/55.31 cnf(dt_g1_group_1-2, axiom, ( ~v1_funct_1(_u27) | ~v1_funct_2(_u27, k2_zfmisc_1(_u28, _u28), _u28) | ~m1_relset_1(_u27, k2_zfmisc_1(_u28, _u28), _u28) | l1_group_1(g1_group_1(_u28, _u27)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k1_funct_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k1_funct_1, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k1_group_3 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k1_group_3, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k1_latsubgr ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k1_latsubgr-1, axiom, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | v1_funct_1(k1_latsubgr(_u29)) )).
% 55.10/55.31 cnf(dt_k1_latsubgr-2, axiom, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | v1_funct_2(k1_latsubgr(_u29), k1_group_3(_u29), k1_zfmisc_1(u1_struct_0(_u29))) )).
% 55.10/55.31 cnf(dt_k1_latsubgr-3, axiom, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | m2_relset_1(k1_latsubgr(_u29), k1_group_3(_u29), k1_zfmisc_1(u1_struct_0(_u29))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k1_xboole_0, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k1_zfmisc_1, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k2_zfmisc_1, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k3_xboole_0, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k8_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k8_group_2-1, axiom, ( v3_struct_0(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | ~m1_group_2(_u31, _u32) | ~m1_group_2(_u30, _u32) | v1_group_1(k8_group_2(_u32, _u31, _u30)) )).
% 55.10/55.31 cnf(dt_k8_group_2-2, axiom, ( v3_struct_0(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | ~m1_group_2(_u31, _u32) | ~m1_group_2(_u30, _u32) | m1_group_2(k8_group_2(_u32, _u31, _u30), _u32) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_k9_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_k9_group_2-1, axiom, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~v4_group_1(_u35) | ~l1_group_1(_u35) | ~m1_group_2(_u34, _u35) | ~m1_group_2(_u33, _u35) | v1_group_1(k9_group_2(_u35, _u34, _u33)) )).
% 55.10/55.31 cnf(dt_k9_group_2-2, axiom, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~v4_group_1(_u35) | ~l1_group_1(_u35) | ~m1_group_2(_u34, _u35) | ~m1_group_2(_u33, _u35) | m1_group_2(k9_group_2(_u35, _u34, _u33), _u35) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_l1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_l1_group_1-1, axiom, ( ~l1_group_1(_u36) | l1_struct_0(_u36) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_l1_struct_0, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_m1_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_m1_group_2-1, axiom, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | ~v3_struct_0(_u37) )).
% 55.10/55.31 cnf(dt_m1_group_2-2, axiom, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | v3_group_1(_u37) )).
% 55.10/55.31 cnf(dt_m1_group_2-3, axiom, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | l1_group_1(_u37) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_m1_relset_1, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_m1_subset_1, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u39, _u41, _u40) | m1_subset_1(_u39, k1_zfmisc_1(k2_zfmisc_1(_u41, _u40))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_u1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_u1_group_1-1, axiom, ( ~l1_group_1(_u42) | v1_funct_1(u1_group_1(_u42)) )).
% 55.10/55.31 cnf(dt_u1_group_1-2, axiom, ( ~l1_group_1(_u42) | v1_funct_2(u1_group_1(_u42), k2_zfmisc_1(u1_struct_0(_u42), u1_struct_0(_u42)), u1_struct_0(_u42)) )).
% 55.10/55.31 cnf(dt_u1_group_1-3, axiom, ( ~l1_group_1(_u42) | m2_relset_1(u1_group_1(_u42), k2_zfmisc_1(u1_struct_0(_u42), u1_struct_0(_u42)), u1_struct_0(_u42)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(dt_u1_struct_0, axiom, $true).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_l1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_l1_group_1-1, axiom, ( l1_group_1(skolem5) )).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem6) )).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_m1_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_m1_group_2-1, axiom, ( v3_struct_0(_u46) | ~v3_group_1(_u46) | ~l1_group_1(_u46) | m1_group_2(skolem7(_u46), _u46) )).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem8(_u49, _u48), _u49, _u48) )).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem9(_u51), _u51) )).
% 55.10/55.31
% 55.10/55.31 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem10(_u54, _u53), _u54, _u53) )).
% 55.10/55.31
% 55.10/55.31 % Formula: fc1_group_3 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(fc1_group_3-1, axiom, ( v3_struct_0(_u55) | ~v3_group_1(_u55) | ~v4_group_1(_u55) | ~l1_group_1(_u55) | ~v1_xboole_0(k1_group_3(_u55)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u56) | ~l1_struct_0(_u56) | ~v1_xboole_0(u1_struct_0(_u56)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u57)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 55.10/55.31
% 55.10/55.31 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u59) | v1_xboole_0(_u58) | ~v1_xboole_0(k2_zfmisc_1(_u59, _u58)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: free_g1_group_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(free_g1_group_1-1, axiom, ( ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ( g1_group_1(_u63, _u62) != g1_group_1(_u61, _u60)) | ( _u63 = _u61) )).
% 55.10/55.31 cnf(free_g1_group_1-2, axiom, ( ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ( g1_group_1(_u63, _u62) != g1_group_1(_u61, _u60)) | ( _u62 = _u60) )).
% 55.10/55.31
% 55.10/55.31 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(idempotence_k3_xboole_0-1, axiom, ( ( k3_xboole_0(_u65, _u65) = _u65) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc1_funct_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc1_funct_2-1, axiom, ( m1_relset_1(skolem11(_u68, _u67), _u68, _u67) )).
% 55.10/55.31 cnf(rc1_funct_2-2, axiom, ( v1_relat_1(skolem11(_u68, _u67)) )).
% 55.10/55.31 cnf(rc1_funct_2-3, axiom, ( v1_funct_1(skolem11(_u68, _u67)) )).
% 55.10/55.31 cnf(rc1_funct_2-4, axiom, ( v1_funct_2(skolem11(_u68, _u67), _u68, _u67) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u70) | m1_subset_1(skolem12(_u70), k1_zfmisc_1(_u70)) )).
% 55.10/55.31 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u70) | ~v1_xboole_0(skolem12(_u70)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem13) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem14(_u74, _u73), _u74, _u73) )).
% 55.10/55.31 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem14(_u74, _u73)) )).
% 55.10/55.31 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem14(_u74, _u73)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem15(_u76), k1_zfmisc_1(_u76)) )).
% 55.10/55.31 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem15(_u76)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem16) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem17) )).
% 55.10/55.31 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem17) )).
% 55.10/55.31
% 55.10/55.31 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u80) | ~l1_struct_0(_u80) | m1_subset_1(skolem18(_u80), k1_zfmisc_1(u1_struct_0(_u80))) )).
% 55.10/55.31 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u80) | ~l1_struct_0(_u80) | ~v1_xboole_0(skolem18(_u80)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: redefinition_k9_group_2 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(redefinition_k9_group_2-1, axiom, ( v3_struct_0(_u83) | ~v3_group_1(_u83) | ~v4_group_1(_u83) | ~l1_group_1(_u83) | ~m1_group_2(_u82, _u83) | ~m1_group_2(_u81, _u83) | ( k9_group_2(_u83, _u82, _u81) = k8_group_2(_u83, _u82, _u81)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 55.10/55.31 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u87, _u91, _u89) | m1_relset_1(_u87, _u91, _u89) )).
% 55.10/55.31 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u88, _u92, _u90) | m2_relset_1(_u88, _u92, _u90) )).
% 55.10/55.31
% 55.10/55.31 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 55.10/55.31 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u94, _u94) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t1_subset ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u96, _u95) | m1_subset_1(_u96, _u95) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t23_latsubgr ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t23_latsubgr-1, axiom, ( v3_struct_0(_u99) | ~v3_group_1(_u99) | ~v4_group_1(_u99) | ~l1_group_1(_u99) | ~v1_group_1(_u98) | ~m1_group_2(_u98, _u99) | ~v1_group_1(_u97) | ~m1_group_2(_u97, _u99) | ( u1_struct_0(k9_group_2(_u99, _u98, _u97)) = k3_xboole_0(k1_funct_1(k1_latsubgr(_u99), _u98), k1_funct_1(k1_latsubgr(_u99), _u97))) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t2_boole ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t2_boole-1, axiom, ( ( k3_xboole_0(_u100, k1_xboole_0) = k1_xboole_0) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t2_subset ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u102, _u101) | v1_xboole_0(_u101) | r2_hidden(_u102, _u101) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t3_subset ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u107, k1_zfmisc_1(_u105)) | r1_tarski(_u107, _u105) )).
% 55.10/55.31 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u108, _u106) | m1_subset_1(_u108, k1_zfmisc_1(_u106)) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t4_subset ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u111, _u110) | ~m1_subset_1(_u110, k1_zfmisc_1(_u109)) | m1_subset_1(_u111, _u109) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t5_subset ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u114, _u113) | ~m1_subset_1(_u113, k1_zfmisc_1(_u112)) | ~v1_xboole_0(_u112) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t6_boole ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u115) | ( _u115 = k1_xboole_0) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t7_boole ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u117, _u116) | ~v1_xboole_0(_u116) )).
% 55.10/55.31
% 55.10/55.31 % Formula: t8_boole ( axiom ) converted to clauses:
% 55.10/55.31 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u119) | ( _u119 = _u118) | ~v1_xboole_0(_u118) )).
% 55.10/55.31
% 55.10/55.31 % Problem matrix:
% 55.10/55.31 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 55.10/55.31 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 55.10/55.31 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 55.10/55.31 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( k1_latsubgr(__eqx_0) = k1_latsubgr(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k9_group_2(__eqx_0, __eqx_1, __eqx_2) = k9_group_2(__eqy_0, __eqy_1, __eqy_2)) )).
% 55.10/55.31 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k1_funct_1(__eqx_0, __eqx_1) = k1_funct_1(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k3_xboole_0(__eqx_0, __eqx_1) = k3_xboole_0(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( u1_group_1(__eqx_0) = u1_group_1(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( g1_group_1(__eqx_0, __eqx_1) = g1_group_1(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( k1_group_3(__eqx_0) = k1_group_3(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k8_group_2(__eqx_0, __eqx_1, __eqx_2) = k8_group_2(__eqy_0, __eqy_1, __eqy_2)) )).
% 55.10/55.31 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 55.10/55.31 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 55.10/55.31 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 55.10/55.31 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~v3_group_1(__eqx_0) | v3_group_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~v4_group_1(__eqx_0) | v4_group_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~l1_group_1(__eqx_0) | l1_group_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~v1_group_1(__eqx_0) | v1_group_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_group_2(__eqx_0, __eqx_1) | m1_group_2(__eqy_0, __eqy_1) )).
% 55.10/55.31 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 55.10/55.31 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) )).
% 55.10/55.31 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-33, 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) )).
% 55.10/55.31 cnf(matrix-34, 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) )).
% 55.10/55.31 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 55.10/55.31 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 55.10/55.31 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 55.10/55.31 cnf(matrix-38, 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) )).
% 55.10/55.31 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 55.10/55.31 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 55.10/55.31 cnf(matrix-41, plain, ( ~v3_struct_0(skolem1) )).
% 55.10/55.31 cnf(matrix-42, plain, ( v3_group_1(skolem1) )).
% 55.10/55.31 cnf(matrix-43, plain, ( v4_group_1(skolem1) )).
% 55.10/55.31 cnf(matrix-44, plain, ( l1_group_1(skolem1) )).
% 55.10/55.31 cnf(matrix-45, plain, ( v1_group_1(skolem2) )).
% 55.10/55.31 cnf(matrix-46, plain, ( m1_group_2(skolem2, skolem1) )).
% 55.10/55.31 cnf(matrix-47, plain, ( v1_group_1(skolem3) )).
% 55.10/55.31 cnf(matrix-48, plain, ( m1_group_2(skolem3, skolem1) )).
% 55.10/55.31 cnf(matrix-49, plain, ( ( k1_funct_1(k1_latsubgr(skolem1), k9_group_2(skolem1, skolem2, skolem3)) != k3_xboole_0(k1_funct_1(k1_latsubgr(skolem1), skolem2), k1_funct_1(k1_latsubgr(skolem1), skolem3))) )).
% 55.10/55.31 cnf(matrix-50, plain, ( ~l1_group_1(_u3) | ~v1_group_1(_u3) | ( _u3 = g1_group_1(u1_struct_0(_u3), u1_group_1(_u3))) )).
% 55.10/55.31 cnf(matrix-51, plain, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 55.10/55.31 cnf(matrix-52, plain, ( ~m1_relset_1(_u6, _u8, _u7) | ~v1_funct_1(_u6) | ~v1_partfun1(_u6, _u8, _u7) | v1_funct_2(_u6, _u8, _u7) )).
% 55.10/55.31 cnf(matrix-53, plain, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 55.10/55.31 cnf(matrix-54, plain, ( v1_xboole_0(_u13) | ~m1_relset_1(_u12, _u14, _u13) | ~v1_funct_1(_u12) | ~v1_funct_2(_u12, _u14, _u13) | v1_partfun1(_u12, _u14, _u13) )).
% 55.10/55.31 cnf(matrix-55, plain, ( v1_xboole_0(_u17) | v1_xboole_0(_u16) | ~m1_relset_1(_u15, _u17, _u16) | ~v1_funct_1(_u15) | ~v1_funct_2(_u15, _u17, _u16) | ~v1_xboole_0(_u15) )).
% 55.10/55.31 cnf(matrix-56, plain, ( v1_xboole_0(_u17) | 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) )).
% 55.10/55.31 cnf(matrix-57, plain, ( ( k3_xboole_0(_u19, _u18) = k3_xboole_0(_u18, _u19)) )).
% 55.10/55.31 cnf(matrix-58, plain, ( v3_struct_0(_u22) | ~v3_group_1(_u22) | ~v4_group_1(_u22) | ~l1_group_1(_u22) | ~m1_group_2(_u21, _u22) | ~m1_group_2(_u20, _u22) | ( k9_group_2(_u22, _u21, _u20) = k9_group_2(_u22, _u20, _u21)) )).
% 55.10/55.31 cnf(matrix-59, plain, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 != k1_latsubgr(_u26)) | ~v1_group_1(_u23) | ~m1_group_2(_u23, _u26) | ( k1_funct_1(_u25, _u23) = u1_struct_0(_u23)) )).
% 55.10/55.31 cnf(matrix-60, plain, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | v1_group_1(skolem4(_u26, _u25)) )).
% 55.10/55.31 cnf(matrix-61, plain, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | m1_group_2(skolem4(_u26, _u25), _u26) )).
% 55.10/55.31 cnf(matrix-62, plain, ( v3_struct_0(_u26) | ~v3_group_1(_u26) | ~v4_group_1(_u26) | ~l1_group_1(_u26) | ~v1_funct_1(_u25) | ~v1_funct_2(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ~m2_relset_1(_u25, k1_group_3(_u26), k1_zfmisc_1(u1_struct_0(_u26))) | ( _u25 = k1_latsubgr(_u26)) | ( k1_funct_1(_u25, skolem4(_u26, _u25)) != u1_struct_0(skolem4(_u26, _u25))) )).
% 55.10/55.31 cnf(matrix-63, plain, ( ~v1_funct_1(_u27) | ~v1_funct_2(_u27, k2_zfmisc_1(_u28, _u28), _u28) | ~m1_relset_1(_u27, k2_zfmisc_1(_u28, _u28), _u28) | v1_group_1(g1_group_1(_u28, _u27)) )).
% 55.10/55.31 cnf(matrix-64, plain, ( ~v1_funct_1(_u27) | ~v1_funct_2(_u27, k2_zfmisc_1(_u28, _u28), _u28) | ~m1_relset_1(_u27, k2_zfmisc_1(_u28, _u28), _u28) | l1_group_1(g1_group_1(_u28, _u27)) )).
% 55.10/55.31 cnf(matrix-65, plain, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | v1_funct_1(k1_latsubgr(_u29)) )).
% 55.10/55.31 cnf(matrix-66, plain, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | v1_funct_2(k1_latsubgr(_u29), k1_group_3(_u29), k1_zfmisc_1(u1_struct_0(_u29))) )).
% 55.10/55.31 cnf(matrix-67, plain, ( v3_struct_0(_u29) | ~v3_group_1(_u29) | ~v4_group_1(_u29) | ~l1_group_1(_u29) | m2_relset_1(k1_latsubgr(_u29), k1_group_3(_u29), k1_zfmisc_1(u1_struct_0(_u29))) )).
% 55.10/55.31 cnf(matrix-68, plain, ( v3_struct_0(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | ~m1_group_2(_u31, _u32) | ~m1_group_2(_u30, _u32) | v1_group_1(k8_group_2(_u32, _u31, _u30)) )).
% 55.10/55.31 cnf(matrix-69, plain, ( v3_struct_0(_u32) | ~v3_group_1(_u32) | ~v4_group_1(_u32) | ~l1_group_1(_u32) | ~m1_group_2(_u31, _u32) | ~m1_group_2(_u30, _u32) | m1_group_2(k8_group_2(_u32, _u31, _u30), _u32) )).
% 55.10/55.31 cnf(matrix-70, plain, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~v4_group_1(_u35) | ~l1_group_1(_u35) | ~m1_group_2(_u34, _u35) | ~m1_group_2(_u33, _u35) | v1_group_1(k9_group_2(_u35, _u34, _u33)) )).
% 55.10/55.31 cnf(matrix-71, plain, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~v4_group_1(_u35) | ~l1_group_1(_u35) | ~m1_group_2(_u34, _u35) | ~m1_group_2(_u33, _u35) | m1_group_2(k9_group_2(_u35, _u34, _u33), _u35) )).
% 55.10/55.31 cnf(matrix-72, plain, ( ~l1_group_1(_u36) | l1_struct_0(_u36) )).
% 55.10/55.31 cnf(matrix-73, plain, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | ~v3_struct_0(_u37) )).
% 55.10/55.31 cnf(matrix-74, plain, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | v3_group_1(_u37) )).
% 55.10/55.31 cnf(matrix-75, plain, ( v3_struct_0(_u38) | ~v3_group_1(_u38) | ~l1_group_1(_u38) | ~m1_group_2(_u37, _u38) | l1_group_1(_u37) )).
% 55.10/55.31 cnf(matrix-76, plain, ( ~m2_relset_1(_u39, _u41, _u40) | m1_subset_1(_u39, k1_zfmisc_1(k2_zfmisc_1(_u41, _u40))) )).
% 55.10/55.31 cnf(matrix-77, plain, ( ~l1_group_1(_u42) | v1_funct_1(u1_group_1(_u42)) )).
% 55.10/55.31 cnf(matrix-78, plain, ( ~l1_group_1(_u42) | v1_funct_2(u1_group_1(_u42), k2_zfmisc_1(u1_struct_0(_u42), u1_struct_0(_u42)), u1_struct_0(_u42)) )).
% 55.10/55.31 cnf(matrix-79, plain, ( ~l1_group_1(_u42) | m2_relset_1(u1_group_1(_u42), k2_zfmisc_1(u1_struct_0(_u42), u1_struct_0(_u42)), u1_struct_0(_u42)) )).
% 55.10/55.31 cnf(matrix-80, plain, ( l1_group_1(skolem5) )).
% 55.10/55.31 cnf(matrix-81, plain, ( l1_struct_0(skolem6) )).
% 55.10/55.31 cnf(matrix-82, plain, ( v3_struct_0(_u46) | ~v3_group_1(_u46) | ~l1_group_1(_u46) | m1_group_2(skolem7(_u46), _u46) )).
% 55.10/55.31 cnf(matrix-83, plain, ( m1_relset_1(skolem8(_u49, _u48), _u49, _u48) )).
% 55.10/55.31 cnf(matrix-84, plain, ( m1_subset_1(skolem9(_u51), _u51) )).
% 55.10/55.31 cnf(matrix-85, plain, ( m2_relset_1(skolem10(_u54, _u53), _u54, _u53) )).
% 55.10/55.31 cnf(matrix-86, plain, ( v3_struct_0(_u55) | ~v3_group_1(_u55) | ~v4_group_1(_u55) | ~l1_group_1(_u55) | ~v1_xboole_0(k1_group_3(_u55)) )).
% 55.10/55.31 cnf(matrix-87, plain, ( v3_struct_0(_u56) | ~l1_struct_0(_u56) | ~v1_xboole_0(u1_struct_0(_u56)) )).
% 55.10/55.31 cnf(matrix-88, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u57)) )).
% 55.10/55.31 cnf(matrix-89, plain, ( v1_xboole_0(k1_xboole_0) )).
% 55.10/55.31 cnf(matrix-90, plain, ( v1_xboole_0(_u59) | v1_xboole_0(_u58) | ~v1_xboole_0(k2_zfmisc_1(_u59, _u58)) )).
% 55.10/55.31 cnf(matrix-91, plain, ( ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ( g1_group_1(_u63, _u62) != g1_group_1(_u61, _u60)) | ( _u63 = _u61) )).
% 55.10/55.31 cnf(matrix-92, plain, ( ~v1_funct_1(_u62) | ~v1_funct_2(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ~m1_relset_1(_u62, k2_zfmisc_1(_u63, _u63), _u63) | ( g1_group_1(_u63, _u62) != g1_group_1(_u61, _u60)) | ( _u62 = _u60) )).
% 55.10/55.31 cnf(matrix-93, plain, ( ( k3_xboole_0(_u65, _u65) = _u65) )).
% 55.10/55.31 cnf(matrix-94, plain, ( m1_relset_1(skolem11(_u68, _u67), _u68, _u67) )).
% 55.10/55.31 cnf(matrix-95, plain, ( v1_relat_1(skolem11(_u68, _u67)) )).
% 55.10/55.31 cnf(matrix-96, plain, ( v1_funct_1(skolem11(_u68, _u67)) )).
% 55.10/55.31 cnf(matrix-97, plain, ( v1_funct_2(skolem11(_u68, _u67), _u68, _u67) )).
% 55.10/55.31 cnf(matrix-98, plain, ( v1_xboole_0(_u70) | m1_subset_1(skolem12(_u70), k1_zfmisc_1(_u70)) )).
% 55.10/55.31 cnf(matrix-99, plain, ( v1_xboole_0(_u70) | ~v1_xboole_0(skolem12(_u70)) )).
% 55.10/55.31 cnf(matrix-100, plain, ( v1_xboole_0(skolem13) )).
% 55.10/55.31 cnf(matrix-101, plain, ( m1_relset_1(skolem14(_u74, _u73), _u74, _u73) )).
% 55.10/55.31 cnf(matrix-102, plain, ( v1_relat_1(skolem14(_u74, _u73)) )).
% 55.10/55.31 cnf(matrix-103, plain, ( v1_funct_1(skolem14(_u74, _u73)) )).
% 55.10/55.31 cnf(matrix-104, plain, ( m1_subset_1(skolem15(_u76), k1_zfmisc_1(_u76)) )).
% 55.10/55.31 cnf(matrix-105, plain, ( v1_xboole_0(skolem15(_u76)) )).
% 55.10/55.31 cnf(matrix-106, plain, ( ~v1_xboole_0(skolem16) )).
% 55.10/55.31 cnf(matrix-107, plain, ( l1_struct_0(skolem17) )).
% 55.10/55.31 cnf(matrix-108, plain, ( ~v3_struct_0(skolem17) )).
% 55.10/55.31 cnf(matrix-109, plain, ( v3_struct_0(_u80) | ~l1_struct_0(_u80) | m1_subset_1(skolem18(_u80), k1_zfmisc_1(u1_struct_0(_u80))) )).
% 55.10/55.31 cnf(matrix-110, plain, ( v3_struct_0(_u80) | ~l1_struct_0(_u80) | ~v1_xboole_0(skolem18(_u80)) )).
% 55.10/55.31 cnf(matrix-111, plain, ( v3_struct_0(_u83) | ~v3_group_1(_u83) | ~v4_group_1(_u83) | ~l1_group_1(_u83) | ~m1_group_2(_u82, _u83) | ~m1_group_2(_u81, _u83) | ( k9_group_2(_u83, _u82, _u81) = k8_group_2(_u83, _u82, _u81)) )).
% 55.10/55.31 cnf(matrix-112, plain, ( ~m2_relset_1(_u87, _u91, _u89) | m1_relset_1(_u87, _u91, _u89) )).
% 55.10/55.31 cnf(matrix-113, plain, ( ~m1_relset_1(_u88, _u92, _u90) | m2_relset_1(_u88, _u92, _u90) )).
% 55.10/55.31 cnf(matrix-114, plain, ( r1_tarski(_u94, _u94) )).
% 55.10/55.31 cnf(matrix-115, plain, ( ~r2_hidden(_u96, _u95) | m1_subset_1(_u96, _u95) )).
% 55.10/55.31 cnf(matrix-116, plain, ( v3_struct_0(_u99) | ~v3_group_1(_u99) | ~v4_group_1(_u99) | ~l1_group_1(_u99) | ~v1_group_1(_u98) | ~m1_group_2(_u98, _u99) | ~v1_group_1(_u97) | ~m1_group_2(_u97, _u99) | ( u1_struct_0(k9_group_2(_u99, _u98, _u97)) = k3_xboole_0(k1_funct_1(k1_latsubgr(_u99), _u98), k1_funct_1(k1_latsubgr(_u99), _u97))) )).
% 55.10/55.31 cnf(matrix-117, plain, ( ( k3_xboole_0(_u100, k1_xboole_0) = k1_xboole_0) )).
% 55.10/55.31 cnf(matrix-118, plain, ( ~m1_subset_1(_u102, _u101) | v1_xboole_0(_u101) | r2_hidden(_u102, _u101) )).
% 55.10/55.31 cnf(matrix-119, plain, ( ~m1_subset_1(_u107, k1_zfmisc_1(_u105)) | r1_tarski(_u107, _u105) )).
% 55.10/55.31 cnf(matrix-120, plain, ( ~r1_tarski(_u108, _u106) | m1_subset_1(_u108, k1_zfmisc_1(_u106)) )).
% 55.10/55.31 cnf(matrix-121, plain, ( ~r2_hidden(_u111, _u110) | ~m1_subset_1(_u110, k1_zfmisc_1(_u109)) | m1_subset_1(_u111, _u109) )).
% 55.10/55.31 cnf(matrix-122, plain, ( ~r2_hidden(_u114, _u113) | ~m1_subset_1(_u113, k1_zfmisc_1(_u112)) | ~v1_xboole_0(_u112) )).
% 55.10/55.31 cnf(matrix-123, plain, ( ~v1_xboole_0(_u115) | ( _u115 = k1_xboole_0) )).
% 55.10/55.31 cnf(matrix-124, plain, ( ~r2_hidden(_u117, _u116) | ~v1_xboole_0(_u116) )).
% 55.10/55.31 cnf(matrix-125, plain, ( ~v1_xboole_0(_u119) | ( _u119 = _u118) | ~v1_xboole_0(_u118) )).
% 55.10/55.31
% 55.10/55.31 % Proof stack:
% 55.10/55.31 cnf(proof-stack, plain,
% 55.10/55.31 proof_stack(
% 55.10/55.31 start(41),
% 55.10/55.31 left_branch(0, 59, 0, 2),
% 55.10/55.31 left_branch(0, 2, 0, 3),
% 55.10/55.31 left_branch(0, 49, 0, 4),
% 55.10/55.31 right_branch(4),
% 55.10/55.31 left_branch(0, 116, 8, 5),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 48, 0, 7),
% 55.10/55.31 right_branch(7),
% 55.10/55.31 left_branch(0, 47, 0, 8),
% 55.10/55.31 right_branch(8),
% 55.10/55.31 left_branch(0, 46, 0, 9),
% 55.10/55.31 right_branch(9),
% 55.10/55.31 left_branch(0, 45, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 left_branch(0, 44, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 left_branch(0, 43, 0, 12),
% 55.10/55.31 right_branch(12),
% 55.10/55.31 left_branch(0, 42, 0, 13),
% 55.10/55.31 right_branch(13),
% 55.10/55.31 right_branch(5),
% 55.10/55.31 right_branch(3),
% 55.10/55.31 left_branch(0, 71, 6, 4),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 48, 0, 6),
% 55.10/55.31 right_branch(6),
% 55.10/55.31 left_branch(0, 46, 0, 7),
% 55.10/55.31 right_branch(7),
% 55.10/55.31 left_branch(0, 44, 0, 8),
% 55.10/55.31 right_branch(8),
% 55.10/55.31 left_branch(0, 43, 0, 9),
% 55.10/55.31 right_branch(9),
% 55.10/55.31 left_branch(0, 42, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 right_branch(4),
% 55.10/55.31 left_branch(0, 70, 6, 5),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 48, 0, 7),
% 55.10/55.31 right_branch(7),
% 55.10/55.31 left_branch(0, 46, 0, 8),
% 55.10/55.31 right_branch(8),
% 55.10/55.31 left_branch(0, 44, 0, 9),
% 55.10/55.31 right_branch(9),
% 55.10/55.31 left_branch(0, 43, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 left_branch(0, 42, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 right_branch(5),
% 55.10/55.31 left_branch(0, 3, 1, 6),
% 55.10/55.31 left_branch(0, 0, 0, 7),
% 55.10/55.31 right_branch(7),
% 55.10/55.31 right_branch(6),
% 55.10/55.31 left_branch(0, 67, 4, 7),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 44, 0, 9),
% 55.10/55.31 right_branch(9),
% 55.10/55.31 left_branch(0, 43, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 left_branch(0, 42, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 right_branch(7),
% 55.10/55.31 left_branch(0, 66, 4, 8),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 44, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 left_branch(0, 43, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 left_branch(0, 42, 0, 12),
% 55.10/55.31 right_branch(12),
% 55.10/55.31 right_branch(8),
% 55.10/55.31 left_branch(0, 65, 4, 9),
% 55.10/55.31 reduction(0, 0),
% 55.10/55.31 left_branch(0, 44, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 left_branch(0, 43, 0, 12),
% 55.10/55.31 right_branch(12),
% 55.10/55.31 left_branch(0, 42, 0, 13),
% 55.10/55.31 right_branch(13),
% 55.10/55.31 right_branch(9),
% 55.10/55.31 left_branch(0, 44, 0, 10),
% 55.10/55.31 right_branch(10),
% 55.10/55.31 left_branch(0, 43, 0, 11),
% 55.10/55.31 right_branch(11),
% 55.10/55.31 left_branch(0, 42, 0, 12),
% 55.10/55.31 right_branch(12),
% 55.10/55.31 right_branch(2)
% 55.10/55.31 )).
% 55.10/55.31 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------