TSTP Solution File: GRP618+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP618+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:14:17 EDT 2024
% Result : Theorem 1.52s 1.71s
% Output : Proof 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP618+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 : n015.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 06:43:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.52/1.71 % SZS status Theorem for theBenchmark
% 1.52/1.71 % SZS output start Proof for theBenchmark
% 1.52/1.71
% 1.52/1.71 % Formula: t1_autgroup ( conjecture ) (definitionally) converted to clauses:
% 1.52/1.71 cnf(t1_autgroup-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-2, negated_conjecture, ( v1_group_1(skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-3, negated_conjecture, ( v3_group_1(skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-4, negated_conjecture, ( v4_group_1(skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-5, negated_conjecture, ( l1_group_1(skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-6, negated_conjecture, ( m1_group_2(skolem2, skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-7, negated_conjecture, ( ~_def0(_u1, _u0) | ~_def1 )).
% 1.52/1.71 cnf(t1_autgroup-8, negated_conjecture, ( _def0(_u1, _u0) | ~m1_subset_1(_u1, u1_struct_0(skolem1)) | ~m1_subset_1(_u0, u1_struct_0(skolem1)) | ~m1_subset_1(_u0, u1_struct_0(skolem2)) | r1_rlvect_1(skolem2, k2_group_3(skolem1, _u0, _u1)) )).
% 1.52/1.71 cnf(t1_autgroup-9, negated_conjecture, ( _def0(_u1, _u0) | ~v1_group_3(skolem2, skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-10, negated_conjecture, ( _def1 | v1_group_3(skolem2, skolem1) )).
% 1.52/1.71 cnf(t1_autgroup-11, negated_conjecture, ( _def1 | m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 1.52/1.71 cnf(t1_autgroup-12, negated_conjecture, ( _def1 | m1_subset_1(skolem4, u1_struct_0(skolem1)) )).
% 1.52/1.71 cnf(t1_autgroup-13, negated_conjecture, ( _def1 | m1_subset_1(skolem4, u1_struct_0(skolem2)) )).
% 1.52/1.71 cnf(t1_autgroup-14, negated_conjecture, ( _def1 | ~r1_rlvect_1(skolem2, k2_group_3(skolem1, skolem4, skolem3)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_partfun1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_partfun1-1, axiom, ( v1_relat_1(skolem5) )).
% 1.52/1.71 cnf(rc1_partfun1-2, axiom, ( v1_funct_1(skolem5) )).
% 1.52/1.71 cnf(rc1_partfun1-3, axiom, ( v2_funct_1(skolem5) )).
% 1.52/1.71 cnf(rc1_partfun1-4, axiom, ( v1_xboole_0(skolem5) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc3_funct_1-1, axiom, ( v1_relat_1(skolem6) )).
% 1.52/1.71 cnf(rc3_funct_1-2, axiom, ( v1_funct_1(skolem6) )).
% 1.52/1.71 cnf(rc3_funct_1-3, axiom, ( v2_funct_1(skolem6) )).
% 1.52/1.71
% 1.52/1.71 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 1.52/1.71 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u9, _u9) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc2_funct_1-1, axiom, ( ~v1_relat_1(_u10) | ~v1_xboole_0(_u10) | ~v1_funct_1(_u10) | v2_funct_1(_u10) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_funct_1-1, axiom, ( v1_relat_1(skolem7) )).
% 1.52/1.71 cnf(rc1_funct_1-2, axiom, ( v1_funct_1(skolem7) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_funct_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_funct_2-1, axiom, ( m1_relset_1(skolem8(_u14, _u13), _u14, _u13) )).
% 1.52/1.71 cnf(rc1_funct_2-2, axiom, ( v1_relat_1(skolem8(_u14, _u13)) )).
% 1.52/1.71 cnf(rc1_funct_2-3, axiom, ( v1_funct_1(skolem8(_u14, _u13)) )).
% 1.52/1.71 cnf(rc1_funct_2-4, axiom, ( v1_funct_2(skolem8(_u14, _u13), _u14, _u13) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc2_funct_1-1, axiom, ( v1_relat_1(skolem9) )).
% 1.52/1.71 cnf(rc2_funct_1-2, axiom, ( v1_xboole_0(skolem9) )).
% 1.52/1.71 cnf(rc2_funct_1-3, axiom, ( v1_funct_1(skolem9) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem10(_u18, _u17), _u18, _u17) )).
% 1.52/1.71 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem10(_u18, _u17)) )).
% 1.52/1.71 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem10(_u18, _u17)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 1.52/1.71 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u20, _u19) | ~r2_hidden(_u19, _u20) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_k1_xboole_0, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_k1_zfmisc_1, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: cc1_funct_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc1_funct_2-1, axiom, ( ~m1_relset_1(_u21, _u23, _u22) | ~v1_funct_1(_u21) | ~v1_partfun1(_u21, _u23, _u22) | v1_funct_2(_u21, _u23, _u22) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u24, k1_zfmisc_1(k2_zfmisc_1(_u26, _u25))) | v1_relat_1(_u24) )).
% 1.52/1.71
% 1.52/1.71 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u28) | ~l1_struct_0(_u28) | m1_subset_1(skolem11(_u28), k1_zfmisc_1(u1_struct_0(_u28))) )).
% 1.52/1.71 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u28) | ~l1_struct_0(_u28) | ~v1_xboole_0(skolem11(_u28)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t1_subset ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u30, _u29) | m1_subset_1(_u30, _u29) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t3_subset ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u35, k1_zfmisc_1(_u33)) | r1_tarski(_u35, _u33) )).
% 1.52/1.71 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u36, _u34) | m1_subset_1(_u36, k1_zfmisc_1(_u34)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t4_subset ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u39, _u38) | ~m1_subset_1(_u38, k1_zfmisc_1(_u37)) | m1_subset_1(_u39, _u37) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t5_subset ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u42, _u41) | ~m1_subset_1(_u41, k1_zfmisc_1(_u40)) | ~v1_xboole_0(_u40) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem12(_u45, _u44), _u45, _u44) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem13(_u48, _u47), _u48, _u47) )).
% 1.52/1.71
% 1.52/1.71 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u52, _u56, _u54) | m1_relset_1(_u52, _u56, _u54) )).
% 1.52/1.71 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u53, _u57, _u55) | m2_relset_1(_u53, _u57, _u55) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_k2_zfmisc_1, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_m1_relset_1, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u58, _u60, _u59) | m1_subset_1(_u58, k1_zfmisc_1(k2_zfmisc_1(_u60, _u59))) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc1_funct_1-1, axiom, ( ~v1_xboole_0(_u61) | v1_funct_1(_u61) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc5_funct_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc5_funct_2-1, axiom, ( v1_xboole_0(_u63) | ~m1_relset_1(_u62, _u64, _u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, _u64, _u63) | v1_partfun1(_u62, _u64, _u63) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc6_funct_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc6_funct_2-1, axiom, ( v1_xboole_0(_u67) | v1_xboole_0(_u66) | ~m1_relset_1(_u65, _u67, _u66) | ~v1_funct_1(_u65) | ~v1_funct_2(_u65, _u67, _u66) | ~v1_xboole_0(_u65) )).
% 1.52/1.71 cnf(cc6_funct_2-2, axiom, ( v1_xboole_0(_u67) | v1_xboole_0(_u66) | ~m1_relset_1(_u65, _u67, _u66) | ~v1_funct_1(_u65) | ~v1_funct_2(_u65, _u67, _u66) | v1_partfun1(_u65, _u67, _u66) )).
% 1.52/1.71
% 1.52/1.71 % Formula: fc1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(fc1_group_1-1, axiom, ( v1_xboole_0(_u69) | ~v1_funct_1(_u68) | ~v1_funct_2(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~m1_relset_1(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~v3_struct_0(g1_group_1(_u69, _u68)) )).
% 1.52/1.71 cnf(fc1_group_1-2, axiom, ( v1_xboole_0(_u69) | ~v1_funct_1(_u68) | ~v1_funct_2(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~m1_relset_1(_u68, k2_zfmisc_1(_u69, _u69), _u69) | v1_group_1(g1_group_1(_u69, _u68)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem14) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem15) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t2_subset ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u73, _u72) | v1_xboole_0(_u72) | r2_hidden(_u73, _u72) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t6_boole ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u74) | ( _u74 = k1_xboole_0) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t7_boole ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u76, _u75) | ~v1_xboole_0(_u75) )).
% 1.52/1.71
% 1.52/1.71 % Formula: t8_boole ( axiom ) converted to clauses:
% 1.52/1.71 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u78) | ( _u78 = _u77) | ~v1_xboole_0(_u77) )).
% 1.52/1.71
% 1.52/1.71 % Formula: free_g1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(free_g1_group_1-1, axiom, ( ~v1_funct_1(_u81) | ~v1_funct_2(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ~m1_relset_1(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ( g1_group_1(_u82, _u81) != g1_group_1(_u80, _u79)) | ( _u82 = _u80) )).
% 1.52/1.71 cnf(free_g1_group_1-2, axiom, ( ~v1_funct_1(_u81) | ~v1_funct_2(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ~m1_relset_1(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ( g1_group_1(_u82, _u81) != g1_group_1(_u80, _u79)) | ( _u81 = _u79) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem16) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_g1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_g1_group_1-1, axiom, ( ~v1_funct_1(_u84) | ~v1_funct_2(_u84, k2_zfmisc_1(_u85, _u85), _u85) | ~m1_relset_1(_u84, k2_zfmisc_1(_u85, _u85), _u85) | v1_group_1(g1_group_1(_u85, _u84)) )).
% 1.52/1.71 cnf(dt_g1_group_1-2, axiom, ( ~v1_funct_1(_u84) | ~v1_funct_2(_u84, k2_zfmisc_1(_u85, _u85), _u85) | ~m1_relset_1(_u84, k2_zfmisc_1(_u85, _u85), _u85) | l1_group_1(g1_group_1(_u85, _u84)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_l1_struct_0, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_u1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_u1_group_1-1, axiom, ( ~l1_group_1(_u86) | v1_funct_1(u1_group_1(_u86)) )).
% 1.52/1.71 cnf(dt_u1_group_1-2, axiom, ( ~l1_group_1(_u86) | v1_funct_2(u1_group_1(_u86), k2_zfmisc_1(u1_struct_0(_u86), u1_struct_0(_u86)), u1_struct_0(_u86)) )).
% 1.52/1.71 cnf(dt_u1_group_1-3, axiom, ( ~l1_group_1(_u86) | m2_relset_1(u1_group_1(_u86), k2_zfmisc_1(u1_struct_0(_u86), u1_struct_0(_u86)), u1_struct_0(_u86)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | ~v1_xboole_0(u1_struct_0(_u87)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_group_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_group_2-1, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | m1_group_2(skolem17(_u89), _u89) )).
% 1.52/1.71 cnf(rc1_group_2-2, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | ~v3_struct_0(skolem17(_u89)) )).
% 1.52/1.71 cnf(rc1_group_2-3, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v1_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(rc1_group_2-4, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v2_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(rc1_group_2-5, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v3_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(rc1_group_2-6, axiom, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v4_group_1(skolem17(_u89)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_group_3 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_group_3-1, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | m1_group_2(skolem18(_u91), _u91) )).
% 1.52/1.71 cnf(rc1_group_3-2, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | ~v3_struct_0(skolem18(_u91)) )).
% 1.52/1.71 cnf(rc1_group_3-3, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v1_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(rc1_group_3-4, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v2_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(rc1_group_3-5, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v3_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(rc1_group_3-6, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v4_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(rc1_group_3-7, axiom, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v1_group_3(skolem18(_u91), _u91) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc3_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc3_group_1-1, axiom, ( l1_group_1(skolem19) )).
% 1.52/1.71 cnf(rc3_group_1-2, axiom, ( ~v3_struct_0(skolem19) )).
% 1.52/1.71 cnf(rc3_group_1-3, axiom, ( v1_group_1(skolem19) )).
% 1.52/1.71 cnf(rc3_group_1-4, axiom, ( v2_group_1(skolem19) )).
% 1.52/1.71 cnf(rc3_group_1-5, axiom, ( v3_group_1(skolem19) )).
% 1.52/1.71 cnf(rc3_group_1-6, axiom, ( v4_group_1(skolem19) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem20) )).
% 1.52/1.71 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem20) )).
% 1.52/1.71
% 1.52/1.71 % Formula: abstractness_v1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(abstractness_v1_group_1-1, axiom, ( ~l1_group_1(_u94) | ~v1_group_1(_u94) | ( _u94 = g1_group_1(u1_struct_0(_u94), u1_group_1(_u94))) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_l1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_l1_group_1-1, axiom, ( l1_group_1(skolem21) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_m1_group_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_m1_group_2-1, axiom, ( v3_struct_0(_u97) | ~v3_group_1(_u97) | ~l1_group_1(_u97) | m1_group_2(skolem22(_u97), _u97) )).
% 1.52/1.71
% 1.52/1.71 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem23(_u99), _u99) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_k2_group_3 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_k2_group_3-1, axiom, ( v3_struct_0(_u102) | ~v3_group_1(_u102) | ~v4_group_1(_u102) | ~l1_group_1(_u102) | ~m1_subset_1(_u101, u1_struct_0(_u102)) | ~m1_subset_1(_u100, u1_struct_0(_u102)) | m1_subset_1(k2_group_3(_u102, _u101, _u100), u1_struct_0(_u102)) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_l1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_l1_group_1-1, axiom, ( ~l1_group_1(_u103) | l1_struct_0(_u103) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_m1_group_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_m1_group_2-1, axiom, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | ~v3_struct_0(_u104) )).
% 1.52/1.71 cnf(dt_m1_group_2-2, axiom, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | v3_group_1(_u104) )).
% 1.52/1.71 cnf(dt_m1_group_2-3, axiom, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | l1_group_1(_u104) )).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_m1_subset_1, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(dt_u1_struct_0, axiom, $true).
% 1.52/1.71
% 1.52/1.71 % Formula: cc1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc1_group_1-1, axiom, ( ~l1_group_1(_u106) | v3_struct_0(_u106) | ~v3_group_1(_u106) | v2_group_1(_u106) )).
% 1.52/1.71
% 1.52/1.71 % Formula: cc1_group_2 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(cc1_group_2-1, axiom, ( v3_struct_0(_u108) | ~v3_group_1(_u108) | ~v4_group_1(_u108) | ~l1_group_1(_u108) | ~m1_group_2(_u107, _u108) | v4_group_1(_u107) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc1_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc1_group_1-1, axiom, ( l1_group_1(skolem24) )).
% 1.52/1.71 cnf(rc1_group_1-2, axiom, ( v1_group_1(skolem24) )).
% 1.52/1.71
% 1.52/1.71 % Formula: rc2_group_1 ( axiom ) converted to clauses:
% 1.52/1.71 cnf(rc2_group_1-1, axiom, ( l1_group_1(skolem25) )).
% 1.52/1.71 cnf(rc2_group_1-2, axiom, ( ~v3_struct_0(skolem25) )).
% 1.52/1.71 cnf(rc2_group_1-3, axiom, ( v1_group_1(skolem25) )).
% 1.52/1.71
% 1.52/1.71 % Formula: l1_autgroup ( axiom ) converted to clauses:
% 1.52/1.71 cnf(l1_autgroup-1, axiom, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem26(_u114, _u113), u1_struct_0(_u114)) )).
% 1.52/1.71 cnf(l1_autgroup-2, axiom, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem27(_u114, _u113), u1_struct_0(_u114)) )).
% 1.52/1.71 cnf(l1_autgroup-3, axiom, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem27(_u114, _u113), u1_struct_0(_u113)) )).
% 1.52/1.71 cnf(l1_autgroup-4, axiom, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | ~r1_rlvect_1(_u113, k2_group_3(_u114, skolem27(_u114, _u113), skolem26(_u114, _u113))) )).
% 1.52/1.71
% 1.52/1.71 % Formula: l2_autgroup ( axiom ) converted to clauses:
% 1.52/1.71 cnf(l2_autgroup-1, axiom, ( v3_struct_0(_u118) | ~v1_group_1(_u118) | ~v3_group_1(_u118) | ~v4_group_1(_u118) | ~l1_group_1(_u118) | ~m1_group_2(_u117, _u118) | ~v1_group_3(_u117, _u118) | ~m1_subset_1(_u116, u1_struct_0(_u118)) | ~m1_subset_1(_u115, u1_struct_0(_u118)) | ~m1_subset_1(_u115, u1_struct_0(_u117)) | r1_rlvect_1(_u117, k2_group_3(_u118, _u115, _u116)) )).
% 1.52/1.71
% 1.52/1.71 % Problem matrix:
% 1.52/1.71 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 1.52/1.71 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 1.52/1.71 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 1.52/1.71 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k2_group_3(__eqx_0, __eqx_1, __eqx_2) = k2_group_3(__eqy_0, __eqy_1, __eqy_2)) )).
% 1.52/1.71 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 1.52/1.71 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)) )).
% 1.52/1.71 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( u1_group_1(__eqx_0) = u1_group_1(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem22(__eqx_0) = skolem22(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem23(__eqx_0) = skolem23(__eqy_0)) )).
% 1.52/1.71 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 1.52/1.71 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 1.52/1.71 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v1_group_1(__eqx_0) | v1_group_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v3_group_1(__eqx_0) | v3_group_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~v4_group_1(__eqx_0) | v4_group_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~l1_group_1(__eqx_0) | l1_group_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_group_2(__eqx_0, __eqx_1) | m1_group_2(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_rlvect_1(__eqx_0, __eqx_1) | r1_rlvect_1(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v1_group_3(__eqx_0, __eqx_1) | v1_group_3(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ~v2_funct_1(__eqx_0) | v2_funct_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 1.52/1.71 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-34, 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) )).
% 1.52/1.71 cnf(matrix-35, 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) )).
% 1.52/1.71 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-37, 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) )).
% 1.52/1.71 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 1.52/1.71 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) )).
% 1.52/1.71 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~v2_group_1(__eqx_0) | v2_group_1(__eqy_0) )).
% 1.52/1.71 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 1.52/1.71 cnf(matrix-42, plain, ( ~v3_struct_0(skolem1) )).
% 1.52/1.71 cnf(matrix-43, plain, ( v1_group_1(skolem1) )).
% 1.52/1.71 cnf(matrix-44, plain, ( v3_group_1(skolem1) )).
% 1.52/1.71 cnf(matrix-45, plain, ( v4_group_1(skolem1) )).
% 1.52/1.71 cnf(matrix-46, plain, ( l1_group_1(skolem1) )).
% 1.52/1.71 cnf(matrix-47, plain, ( m1_group_2(skolem2, skolem1) )).
% 1.52/1.71 cnf(matrix-48, plain, ( ~_def0(_u1, _u0) | ~_def1 )).
% 1.52/1.71 cnf(matrix-49, plain, ( _def0(_u1, _u0) | ~m1_subset_1(_u1, u1_struct_0(skolem1)) | ~m1_subset_1(_u0, u1_struct_0(skolem1)) | ~m1_subset_1(_u0, u1_struct_0(skolem2)) | r1_rlvect_1(skolem2, k2_group_3(skolem1, _u0, _u1)) )).
% 1.52/1.71 cnf(matrix-50, plain, ( _def0(_u1, _u0) | ~v1_group_3(skolem2, skolem1) )).
% 1.52/1.71 cnf(matrix-51, plain, ( _def1 | v1_group_3(skolem2, skolem1) )).
% 1.52/1.71 cnf(matrix-52, plain, ( _def1 | m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 1.52/1.71 cnf(matrix-53, plain, ( _def1 | m1_subset_1(skolem4, u1_struct_0(skolem1)) )).
% 1.52/1.71 cnf(matrix-54, plain, ( _def1 | m1_subset_1(skolem4, u1_struct_0(skolem2)) )).
% 1.52/1.71 cnf(matrix-55, plain, ( _def1 | ~r1_rlvect_1(skolem2, k2_group_3(skolem1, skolem4, skolem3)) )).
% 1.52/1.71 cnf(matrix-56, plain, ( v1_relat_1(skolem5) )).
% 1.52/1.71 cnf(matrix-57, plain, ( v1_funct_1(skolem5) )).
% 1.52/1.71 cnf(matrix-58, plain, ( v2_funct_1(skolem5) )).
% 1.52/1.71 cnf(matrix-59, plain, ( v1_xboole_0(skolem5) )).
% 1.52/1.71 cnf(matrix-60, plain, ( v1_relat_1(skolem6) )).
% 1.52/1.71 cnf(matrix-61, plain, ( v1_funct_1(skolem6) )).
% 1.52/1.71 cnf(matrix-62, plain, ( v2_funct_1(skolem6) )).
% 1.52/1.71 cnf(matrix-63, plain, ( r1_tarski(_u9, _u9) )).
% 1.52/1.71 cnf(matrix-64, plain, ( ~v1_relat_1(_u10) | ~v1_xboole_0(_u10) | ~v1_funct_1(_u10) | v2_funct_1(_u10) )).
% 1.52/1.71 cnf(matrix-65, plain, ( v1_relat_1(skolem7) )).
% 1.52/1.71 cnf(matrix-66, plain, ( v1_funct_1(skolem7) )).
% 1.52/1.71 cnf(matrix-67, plain, ( m1_relset_1(skolem8(_u14, _u13), _u14, _u13) )).
% 1.52/1.71 cnf(matrix-68, plain, ( v1_relat_1(skolem8(_u14, _u13)) )).
% 1.52/1.71 cnf(matrix-69, plain, ( v1_funct_1(skolem8(_u14, _u13)) )).
% 1.52/1.71 cnf(matrix-70, plain, ( v1_funct_2(skolem8(_u14, _u13), _u14, _u13) )).
% 1.52/1.71 cnf(matrix-71, plain, ( v1_relat_1(skolem9) )).
% 1.52/1.71 cnf(matrix-72, plain, ( v1_xboole_0(skolem9) )).
% 1.52/1.71 cnf(matrix-73, plain, ( v1_funct_1(skolem9) )).
% 1.52/1.71 cnf(matrix-74, plain, ( m1_relset_1(skolem10(_u18, _u17), _u18, _u17) )).
% 1.52/1.71 cnf(matrix-75, plain, ( v1_relat_1(skolem10(_u18, _u17)) )).
% 1.52/1.71 cnf(matrix-76, plain, ( v1_funct_1(skolem10(_u18, _u17)) )).
% 1.52/1.71 cnf(matrix-77, plain, ( ~r2_hidden(_u20, _u19) | ~r2_hidden(_u19, _u20) )).
% 1.52/1.71 cnf(matrix-78, plain, ( ~m1_relset_1(_u21, _u23, _u22) | ~v1_funct_1(_u21) | ~v1_partfun1(_u21, _u23, _u22) | v1_funct_2(_u21, _u23, _u22) )).
% 1.52/1.71 cnf(matrix-79, plain, ( ~m1_subset_1(_u24, k1_zfmisc_1(k2_zfmisc_1(_u26, _u25))) | v1_relat_1(_u24) )).
% 1.52/1.71 cnf(matrix-80, plain, ( v1_xboole_0(k1_xboole_0) )).
% 1.52/1.71 cnf(matrix-81, plain, ( v3_struct_0(_u28) | ~l1_struct_0(_u28) | m1_subset_1(skolem11(_u28), k1_zfmisc_1(u1_struct_0(_u28))) )).
% 1.52/1.71 cnf(matrix-82, plain, ( v3_struct_0(_u28) | ~l1_struct_0(_u28) | ~v1_xboole_0(skolem11(_u28)) )).
% 1.52/1.71 cnf(matrix-83, plain, ( ~r2_hidden(_u30, _u29) | m1_subset_1(_u30, _u29) )).
% 1.52/1.71 cnf(matrix-84, plain, ( ~m1_subset_1(_u35, k1_zfmisc_1(_u33)) | r1_tarski(_u35, _u33) )).
% 1.52/1.71 cnf(matrix-85, plain, ( ~r1_tarski(_u36, _u34) | m1_subset_1(_u36, k1_zfmisc_1(_u34)) )).
% 1.52/1.71 cnf(matrix-86, plain, ( ~r2_hidden(_u39, _u38) | ~m1_subset_1(_u38, k1_zfmisc_1(_u37)) | m1_subset_1(_u39, _u37) )).
% 1.52/1.71 cnf(matrix-87, plain, ( ~r2_hidden(_u42, _u41) | ~m1_subset_1(_u41, k1_zfmisc_1(_u40)) | ~v1_xboole_0(_u40) )).
% 1.52/1.71 cnf(matrix-88, plain, ( m1_relset_1(skolem12(_u45, _u44), _u45, _u44) )).
% 1.52/1.71 cnf(matrix-89, plain, ( m2_relset_1(skolem13(_u48, _u47), _u48, _u47) )).
% 1.52/1.71 cnf(matrix-90, plain, ( ~m2_relset_1(_u52, _u56, _u54) | m1_relset_1(_u52, _u56, _u54) )).
% 1.52/1.71 cnf(matrix-91, plain, ( ~m1_relset_1(_u53, _u57, _u55) | m2_relset_1(_u53, _u57, _u55) )).
% 1.52/1.71 cnf(matrix-92, plain, ( ~m2_relset_1(_u58, _u60, _u59) | m1_subset_1(_u58, k1_zfmisc_1(k2_zfmisc_1(_u60, _u59))) )).
% 1.52/1.71 cnf(matrix-93, plain, ( ~v1_xboole_0(_u61) | v1_funct_1(_u61) )).
% 1.52/1.71 cnf(matrix-94, plain, ( v1_xboole_0(_u63) | ~m1_relset_1(_u62, _u64, _u63) | ~v1_funct_1(_u62) | ~v1_funct_2(_u62, _u64, _u63) | v1_partfun1(_u62, _u64, _u63) )).
% 1.52/1.71 cnf(matrix-95, plain, ( v1_xboole_0(_u67) | v1_xboole_0(_u66) | ~m1_relset_1(_u65, _u67, _u66) | ~v1_funct_1(_u65) | ~v1_funct_2(_u65, _u67, _u66) | ~v1_xboole_0(_u65) )).
% 1.52/1.71 cnf(matrix-96, plain, ( v1_xboole_0(_u67) | v1_xboole_0(_u66) | ~m1_relset_1(_u65, _u67, _u66) | ~v1_funct_1(_u65) | ~v1_funct_2(_u65, _u67, _u66) | v1_partfun1(_u65, _u67, _u66) )).
% 1.52/1.71 cnf(matrix-97, plain, ( v1_xboole_0(_u69) | ~v1_funct_1(_u68) | ~v1_funct_2(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~m1_relset_1(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~v3_struct_0(g1_group_1(_u69, _u68)) )).
% 1.52/1.71 cnf(matrix-98, plain, ( v1_xboole_0(_u69) | ~v1_funct_1(_u68) | ~v1_funct_2(_u68, k2_zfmisc_1(_u69, _u69), _u69) | ~m1_relset_1(_u68, k2_zfmisc_1(_u69, _u69), _u69) | v1_group_1(g1_group_1(_u69, _u68)) )).
% 1.52/1.71 cnf(matrix-99, plain, ( v1_xboole_0(skolem14) )).
% 1.52/1.71 cnf(matrix-100, plain, ( ~v1_xboole_0(skolem15) )).
% 1.52/1.71 cnf(matrix-101, plain, ( ~m1_subset_1(_u73, _u72) | v1_xboole_0(_u72) | r2_hidden(_u73, _u72) )).
% 1.52/1.71 cnf(matrix-102, plain, ( ~v1_xboole_0(_u74) | ( _u74 = k1_xboole_0) )).
% 1.52/1.71 cnf(matrix-103, plain, ( ~r2_hidden(_u76, _u75) | ~v1_xboole_0(_u75) )).
% 1.52/1.71 cnf(matrix-104, plain, ( ~v1_xboole_0(_u78) | ( _u78 = _u77) | ~v1_xboole_0(_u77) )).
% 1.52/1.71 cnf(matrix-105, plain, ( ~v1_funct_1(_u81) | ~v1_funct_2(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ~m1_relset_1(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ( g1_group_1(_u82, _u81) != g1_group_1(_u80, _u79)) | ( _u82 = _u80) )).
% 1.52/1.71 cnf(matrix-106, plain, ( ~v1_funct_1(_u81) | ~v1_funct_2(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ~m1_relset_1(_u81, k2_zfmisc_1(_u82, _u82), _u82) | ( g1_group_1(_u82, _u81) != g1_group_1(_u80, _u79)) | ( _u81 = _u79) )).
% 1.52/1.71 cnf(matrix-107, plain, ( l1_struct_0(skolem16) )).
% 1.52/1.71 cnf(matrix-108, plain, ( ~v1_funct_1(_u84) | ~v1_funct_2(_u84, k2_zfmisc_1(_u85, _u85), _u85) | ~m1_relset_1(_u84, k2_zfmisc_1(_u85, _u85), _u85) | v1_group_1(g1_group_1(_u85, _u84)) )).
% 1.52/1.71 cnf(matrix-109, plain, ( ~v1_funct_1(_u84) | ~v1_funct_2(_u84, k2_zfmisc_1(_u85, _u85), _u85) | ~m1_relset_1(_u84, k2_zfmisc_1(_u85, _u85), _u85) | l1_group_1(g1_group_1(_u85, _u84)) )).
% 1.52/1.71 cnf(matrix-110, plain, ( ~l1_group_1(_u86) | v1_funct_1(u1_group_1(_u86)) )).
% 1.52/1.71 cnf(matrix-111, plain, ( ~l1_group_1(_u86) | v1_funct_2(u1_group_1(_u86), k2_zfmisc_1(u1_struct_0(_u86), u1_struct_0(_u86)), u1_struct_0(_u86)) )).
% 1.52/1.71 cnf(matrix-112, plain, ( ~l1_group_1(_u86) | m2_relset_1(u1_group_1(_u86), k2_zfmisc_1(u1_struct_0(_u86), u1_struct_0(_u86)), u1_struct_0(_u86)) )).
% 1.52/1.71 cnf(matrix-113, plain, ( v3_struct_0(_u87) | ~l1_struct_0(_u87) | ~v1_xboole_0(u1_struct_0(_u87)) )).
% 1.52/1.71 cnf(matrix-114, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | m1_group_2(skolem17(_u89), _u89) )).
% 1.52/1.71 cnf(matrix-115, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | ~v3_struct_0(skolem17(_u89)) )).
% 1.52/1.71 cnf(matrix-116, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v1_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(matrix-117, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v2_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(matrix-118, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v3_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(matrix-119, plain, ( v3_struct_0(_u89) | ~v3_group_1(_u89) | ~v4_group_1(_u89) | ~l1_group_1(_u89) | v4_group_1(skolem17(_u89)) )).
% 1.52/1.71 cnf(matrix-120, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | m1_group_2(skolem18(_u91), _u91) )).
% 1.52/1.71 cnf(matrix-121, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | ~v3_struct_0(skolem18(_u91)) )).
% 1.52/1.71 cnf(matrix-122, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v1_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(matrix-123, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v2_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(matrix-124, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v3_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(matrix-125, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v4_group_1(skolem18(_u91)) )).
% 1.52/1.71 cnf(matrix-126, plain, ( v3_struct_0(_u91) | ~v3_group_1(_u91) | ~v4_group_1(_u91) | ~l1_group_1(_u91) | v1_group_3(skolem18(_u91), _u91) )).
% 1.52/1.71 cnf(matrix-127, plain, ( l1_group_1(skolem19) )).
% 1.52/1.71 cnf(matrix-128, plain, ( ~v3_struct_0(skolem19) )).
% 1.52/1.71 cnf(matrix-129, plain, ( v1_group_1(skolem19) )).
% 1.52/1.71 cnf(matrix-130, plain, ( v2_group_1(skolem19) )).
% 1.52/1.71 cnf(matrix-131, plain, ( v3_group_1(skolem19) )).
% 1.52/1.71 cnf(matrix-132, plain, ( v4_group_1(skolem19) )).
% 1.52/1.71 cnf(matrix-133, plain, ( l1_struct_0(skolem20) )).
% 1.52/1.71 cnf(matrix-134, plain, ( ~v3_struct_0(skolem20) )).
% 1.52/1.71 cnf(matrix-135, plain, ( ~l1_group_1(_u94) | ~v1_group_1(_u94) | ( _u94 = g1_group_1(u1_struct_0(_u94), u1_group_1(_u94))) )).
% 1.52/1.71 cnf(matrix-136, plain, ( l1_group_1(skolem21) )).
% 1.52/1.71 cnf(matrix-137, plain, ( v3_struct_0(_u97) | ~v3_group_1(_u97) | ~l1_group_1(_u97) | m1_group_2(skolem22(_u97), _u97) )).
% 1.52/1.71 cnf(matrix-138, plain, ( m1_subset_1(skolem23(_u99), _u99) )).
% 1.52/1.71 cnf(matrix-139, plain, ( v3_struct_0(_u102) | ~v3_group_1(_u102) | ~v4_group_1(_u102) | ~l1_group_1(_u102) | ~m1_subset_1(_u101, u1_struct_0(_u102)) | ~m1_subset_1(_u100, u1_struct_0(_u102)) | m1_subset_1(k2_group_3(_u102, _u101, _u100), u1_struct_0(_u102)) )).
% 1.52/1.71 cnf(matrix-140, plain, ( ~l1_group_1(_u103) | l1_struct_0(_u103) )).
% 1.52/1.71 cnf(matrix-141, plain, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | ~v3_struct_0(_u104) )).
% 1.52/1.71 cnf(matrix-142, plain, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | v3_group_1(_u104) )).
% 1.52/1.71 cnf(matrix-143, plain, ( v3_struct_0(_u105) | ~v3_group_1(_u105) | ~l1_group_1(_u105) | ~m1_group_2(_u104, _u105) | l1_group_1(_u104) )).
% 1.52/1.71 cnf(matrix-144, plain, ( ~l1_group_1(_u106) | v3_struct_0(_u106) | ~v3_group_1(_u106) | v2_group_1(_u106) )).
% 1.52/1.71 cnf(matrix-145, plain, ( v3_struct_0(_u108) | ~v3_group_1(_u108) | ~v4_group_1(_u108) | ~l1_group_1(_u108) | ~m1_group_2(_u107, _u108) | v4_group_1(_u107) )).
% 1.52/1.71 cnf(matrix-146, plain, ( l1_group_1(skolem24) )).
% 1.52/1.71 cnf(matrix-147, plain, ( v1_group_1(skolem24) )).
% 1.52/1.71 cnf(matrix-148, plain, ( l1_group_1(skolem25) )).
% 1.52/1.71 cnf(matrix-149, plain, ( ~v3_struct_0(skolem25) )).
% 1.52/1.71 cnf(matrix-150, plain, ( v1_group_1(skolem25) )).
% 1.52/1.71 cnf(matrix-151, plain, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem26(_u114, _u113), u1_struct_0(_u114)) )).
% 1.52/1.71 cnf(matrix-152, plain, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem27(_u114, _u113), u1_struct_0(_u114)) )).
% 1.52/1.71 cnf(matrix-153, plain, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | m1_subset_1(skolem27(_u114, _u113), u1_struct_0(_u113)) )).
% 1.52/1.71 cnf(matrix-154, plain, ( v3_struct_0(_u114) | ~v1_group_1(_u114) | ~v3_group_1(_u114) | ~v4_group_1(_u114) | ~l1_group_1(_u114) | ~m1_group_2(_u113, _u114) | v1_group_3(_u113, _u114) | ~r1_rlvect_1(_u113, k2_group_3(_u114, skolem27(_u114, _u113), skolem26(_u114, _u113))) )).
% 1.52/1.71 cnf(matrix-155, plain, ( v3_struct_0(_u118) | ~v1_group_1(_u118) | ~v3_group_1(_u118) | ~v4_group_1(_u118) | ~l1_group_1(_u118) | ~m1_group_2(_u117, _u118) | ~v1_group_3(_u117, _u118) | ~m1_subset_1(_u116, u1_struct_0(_u118)) | ~m1_subset_1(_u115, u1_struct_0(_u118)) | ~m1_subset_1(_u115, u1_struct_0(_u117)) | r1_rlvect_1(_u117, k2_group_3(_u118, _u115, _u116)) )).
% 1.52/1.71
% 1.52/1.71 % Proof stack:
% 1.52/1.71 cnf(proof-stack, plain,
% 1.52/1.71 proof_stack(
% 1.52/1.71 start(48),
% 1.52/1.71 left_branch(0, 49, 0, 2),
% 1.52/1.71 left_branch(0, 154, 7, 3),
% 1.52/1.71 left_branch(0, 42, 0, 4),
% 1.52/1.71 right_branch(4),
% 1.52/1.71 left_branch(0, 50, 1, 5),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(5),
% 1.52/1.71 left_branch(0, 47, 0, 6),
% 1.52/1.71 right_branch(6),
% 1.52/1.71 left_branch(0, 46, 0, 7),
% 1.52/1.71 right_branch(7),
% 1.52/1.71 left_branch(0, 45, 0, 8),
% 1.52/1.71 right_branch(8),
% 1.52/1.71 left_branch(0, 44, 0, 9),
% 1.52/1.71 right_branch(9),
% 1.52/1.71 left_branch(0, 43, 0, 10),
% 1.52/1.71 right_branch(10),
% 1.52/1.71 right_branch(3),
% 1.52/1.71 left_branch(0, 153, 7, 4),
% 1.52/1.71 left_branch(0, 42, 0, 5),
% 1.52/1.71 right_branch(5),
% 1.52/1.71 left_branch(0, 50, 1, 6),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(6),
% 1.52/1.71 left_branch(0, 47, 0, 7),
% 1.52/1.71 right_branch(7),
% 1.52/1.71 left_branch(0, 46, 0, 8),
% 1.52/1.71 right_branch(8),
% 1.52/1.71 left_branch(0, 45, 0, 9),
% 1.52/1.71 right_branch(9),
% 1.52/1.71 left_branch(0, 44, 0, 10),
% 1.52/1.71 right_branch(10),
% 1.52/1.71 left_branch(0, 43, 0, 11),
% 1.52/1.71 right_branch(11),
% 1.52/1.71 right_branch(4),
% 1.52/1.71 left_branch(0, 152, 7, 5),
% 1.52/1.71 left_branch(0, 42, 0, 6),
% 1.52/1.71 right_branch(6),
% 1.52/1.71 left_branch(0, 50, 1, 7),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(7),
% 1.52/1.71 left_branch(0, 47, 0, 8),
% 1.52/1.71 right_branch(8),
% 1.52/1.71 left_branch(0, 46, 0, 9),
% 1.52/1.71 right_branch(9),
% 1.52/1.71 left_branch(0, 45, 0, 10),
% 1.52/1.71 right_branch(10),
% 1.52/1.71 left_branch(0, 44, 0, 11),
% 1.52/1.71 right_branch(11),
% 1.52/1.71 left_branch(0, 43, 0, 12),
% 1.52/1.71 right_branch(12),
% 1.52/1.71 right_branch(5),
% 1.52/1.71 left_branch(0, 151, 7, 6),
% 1.52/1.71 left_branch(0, 42, 0, 7),
% 1.52/1.71 right_branch(7),
% 1.52/1.71 left_branch(0, 50, 1, 8),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(8),
% 1.52/1.71 left_branch(0, 47, 0, 9),
% 1.52/1.71 right_branch(9),
% 1.52/1.71 left_branch(0, 46, 0, 10),
% 1.52/1.71 right_branch(10),
% 1.52/1.71 left_branch(0, 45, 0, 11),
% 1.52/1.71 right_branch(11),
% 1.52/1.71 left_branch(0, 44, 0, 12),
% 1.52/1.71 right_branch(12),
% 1.52/1.71 left_branch(0, 43, 0, 13),
% 1.52/1.71 right_branch(13),
% 1.52/1.71 right_branch(6),
% 1.52/1.71 right_branch(2),
% 1.52/1.71 left_branch(0, 55, 0, 3),
% 1.52/1.71 left_branch(0, 155, 10, 4),
% 1.52/1.71 left_branch(0, 42, 0, 5),
% 1.52/1.71 right_branch(5),
% 1.52/1.71 left_branch(0, 54, 1, 6),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(6),
% 1.52/1.71 left_branch(0, 53, 1, 7),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(7),
% 1.52/1.71 left_branch(0, 52, 1, 8),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(8),
% 1.52/1.71 left_branch(0, 51, 1, 9),
% 1.52/1.71 reduction(0, 0),
% 1.52/1.71 right_branch(9),
% 1.52/1.71 left_branch(0, 47, 0, 10),
% 1.52/1.71 right_branch(10),
% 1.52/1.71 left_branch(0, 46, 0, 11),
% 1.52/1.71 right_branch(11),
% 1.52/1.71 left_branch(0, 45, 0, 12),
% 1.52/1.71 right_branch(12),
% 1.52/1.71 left_branch(0, 44, 0, 13),
% 1.52/1.71 right_branch(13),
% 1.52/1.71 left_branch(0, 43, 0, 14),
% 1.52/1.71 right_branch(14),
% 1.52/1.71 right_branch(4),
% 1.52/1.71 right_branch(3)
% 1.52/1.71 )).
% 1.52/1.71 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------