TSTP Solution File: GRP643+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP643+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 : n018.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 14:14:24 EDT 2024
% Result : Theorem 0.46s 0.63s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n018.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 06:28:59 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.46/0.63 % SZS status Theorem for theBenchmark
% 0.46/0.63 % SZS output start Proof for theBenchmark
% 0.46/0.63
% 0.46/0.63 % Formula: t21_latsubgr ( conjecture ) (definitionally) converted to clauses:
% 0.46/0.63 cnf(t21_latsubgr-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 0.46/0.63 cnf(t21_latsubgr-2, negated_conjecture, ( v3_group_1(skolem1) )).
% 0.46/0.63 cnf(t21_latsubgr-3, negated_conjecture, ( v4_group_1(skolem1) )).
% 0.46/0.63 cnf(t21_latsubgr-4, negated_conjecture, ( l1_group_1(skolem1) )).
% 0.46/0.63 cnf(t21_latsubgr-5, negated_conjecture, ( v1_group_1(skolem2) )).
% 0.46/0.63 cnf(t21_latsubgr-6, negated_conjecture, ( m1_group_2(skolem2, skolem1) )).
% 0.46/0.63 cnf(t21_latsubgr-7, negated_conjecture, ( m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 0.46/0.63 cnf(t21_latsubgr-8, negated_conjecture, ( m1_subset_1(skolem4, u1_struct_0(skolem1)) )).
% 0.46/0.63 cnf(t21_latsubgr-9, negated_conjecture, ( r2_hidden(skolem3, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.63 cnf(t21_latsubgr-10, negated_conjecture, ( r2_hidden(skolem4, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.63 cnf(t21_latsubgr-11, negated_conjecture, ( ~r2_hidden(k1_group_1(skolem1, skolem3, skolem4), k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.63
% 0.46/0.63 % Formula: abstractness_v1_group_1 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(abstractness_v1_group_1-1, axiom, ( ~l1_group_1(_u4) | ~v1_group_1(_u4) | ( _u4 = g1_group_1(u1_struct_0(_u4), u1_group_1(_u4))) )).
% 0.46/0.63
% 0.46/0.63 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.46/0.63 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u6, _u5) | ~r2_hidden(_u5, _u6) )).
% 0.46/0.63
% 0.46/0.63 % Formula: cc1_funct_2 ( axiom ) converted to clauses:
% 0.46/0.63 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) )).
% 0.46/0.63
% 0.46/0.63 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u10, k1_zfmisc_1(k2_zfmisc_1(_u12, _u11))) | v1_relat_1(_u10) )).
% 0.46/0.63
% 0.46/0.63 % Formula: cc5_funct_2 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(cc5_funct_2-1, axiom, ( v1_xboole_0(_u14) | ~m1_relset_1(_u13, _u15, _u14) | ~v1_funct_1(_u13) | ~v1_funct_2(_u13, _u15, _u14) | v1_partfun1(_u13, _u15, _u14) )).
% 0.46/0.63
% 0.46/0.63 % Formula: cc6_funct_2 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(cc6_funct_2-1, axiom, ( v1_xboole_0(_u18) | v1_xboole_0(_u17) | ~m1_relset_1(_u16, _u18, _u17) | ~v1_funct_1(_u16) | ~v1_funct_2(_u16, _u18, _u17) | ~v1_xboole_0(_u16) )).
% 0.46/0.63 cnf(cc6_funct_2-2, axiom, ( v1_xboole_0(_u18) | v1_xboole_0(_u17) | ~m1_relset_1(_u16, _u18, _u17) | ~v1_funct_1(_u16) | ~v1_funct_2(_u16, _u18, _u17) | v1_partfun1(_u16, _u18, _u17) )).
% 0.46/0.63
% 0.46/0.63 % Formula: dt_g1_group_1 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(dt_g1_group_1-1, axiom, ( ~v1_funct_1(_u19) | ~v1_funct_2(_u19, k2_zfmisc_1(_u20, _u20), _u20) | ~m1_relset_1(_u19, k2_zfmisc_1(_u20, _u20), _u20) | v1_group_1(g1_group_1(_u20, _u19)) )).
% 0.46/0.63 cnf(dt_g1_group_1-2, axiom, ( ~v1_funct_1(_u19) | ~v1_funct_2(_u19, k2_zfmisc_1(_u20, _u20), _u20) | ~m1_relset_1(_u19, k2_zfmisc_1(_u20, _u20), _u20) | l1_group_1(g1_group_1(_u20, _u19)) )).
% 0.46/0.63
% 0.46/0.63 % Formula: dt_k1_funct_1 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(dt_k1_funct_1, axiom, $true).
% 0.46/0.63
% 0.46/0.63 % Formula: dt_k1_group_1 ( axiom ) converted to clauses:
% 0.46/0.63 cnf(dt_k1_group_1-1, axiom, ( v3_struct_0(_u23) | ~l1_group_1(_u23) | ~m1_subset_1(_u22, u1_struct_0(_u23)) | ~m1_subset_1(_u21, u1_struct_0(_u23)) | m1_subset_1(k1_group_1(_u23, _u22, _u21), u1_struct_0(_u23)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_k1_group_3 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_k1_group_3, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_k1_latsubgr ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_k1_latsubgr-1, axiom, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | v1_funct_1(k1_latsubgr(_u24)) )).
% 0.46/0.64 cnf(dt_k1_latsubgr-2, axiom, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | v1_funct_2(k1_latsubgr(_u24), k1_group_3(_u24), k1_zfmisc_1(u1_struct_0(_u24))) )).
% 0.46/0.64 cnf(dt_k1_latsubgr-3, axiom, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | m2_relset_1(k1_latsubgr(_u24), k1_group_3(_u24), k1_zfmisc_1(u1_struct_0(_u24))) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_k1_xboole_0, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_l1_group_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_l1_group_1-1, axiom, ( ~l1_group_1(_u25) | l1_struct_0(_u25) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_l1_struct_0, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_m1_group_2 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_m1_group_2-1, axiom, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | ~v3_struct_0(_u26) )).
% 0.46/0.64 cnf(dt_m1_group_2-2, axiom, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | v3_group_1(_u26) )).
% 0.46/0.64 cnf(dt_m1_group_2-3, axiom, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | l1_group_1(_u26) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_m1_relset_1, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_m1_subset_1, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u28, _u30, _u29) | m1_subset_1(_u28, k1_zfmisc_1(k2_zfmisc_1(_u30, _u29))) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_u1_group_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_u1_group_1-1, axiom, ( ~l1_group_1(_u31) | v1_funct_1(u1_group_1(_u31)) )).
% 0.46/0.64 cnf(dt_u1_group_1-2, axiom, ( ~l1_group_1(_u31) | v1_funct_2(u1_group_1(_u31), k2_zfmisc_1(u1_struct_0(_u31), u1_struct_0(_u31)), u1_struct_0(_u31)) )).
% 0.46/0.64 cnf(dt_u1_group_1-3, axiom, ( ~l1_group_1(_u31) | m2_relset_1(u1_group_1(_u31), k2_zfmisc_1(u1_struct_0(_u31), u1_struct_0(_u31)), u1_struct_0(_u31)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(dt_u1_struct_0, axiom, $true).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_l1_group_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_l1_group_1-1, axiom, ( l1_group_1(skolem5) )).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem6) )).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_m1_group_2 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_m1_group_2-1, axiom, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~l1_group_1(_u35) | m1_group_2(skolem7(_u35), _u35) )).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem8(_u38, _u37), _u38, _u37) )).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem9(_u40), _u40) )).
% 0.46/0.64
% 0.46/0.64 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem10(_u43, _u42), _u43, _u42) )).
% 0.46/0.64
% 0.46/0.64 % Formula: fc1_group_3 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(fc1_group_3-1, axiom, ( v3_struct_0(_u44) | ~v3_group_1(_u44) | ~v4_group_1(_u44) | ~l1_group_1(_u44) | ~v1_xboole_0(k1_group_3(_u44)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u45) | ~l1_struct_0(_u45) | ~v1_xboole_0(u1_struct_0(_u45)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u46)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.46/0.64
% 0.46/0.64 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u48) | v1_xboole_0(_u47) | ~v1_xboole_0(k2_zfmisc_1(_u48, _u47)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: free_g1_group_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(free_g1_group_1-1, axiom, ( ~v1_funct_1(_u51) | ~v1_funct_2(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ~m1_relset_1(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ( g1_group_1(_u52, _u51) != g1_group_1(_u50, _u49)) | ( _u52 = _u50) )).
% 0.46/0.64 cnf(free_g1_group_1-2, axiom, ( ~v1_funct_1(_u51) | ~v1_funct_2(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ~m1_relset_1(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ( g1_group_1(_u52, _u51) != g1_group_1(_u50, _u49)) | ( _u51 = _u49) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc1_funct_2 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc1_funct_2-1, axiom, ( m1_relset_1(skolem11(_u55, _u54), _u55, _u54) )).
% 0.46/0.64 cnf(rc1_funct_2-2, axiom, ( v1_relat_1(skolem11(_u55, _u54)) )).
% 0.46/0.64 cnf(rc1_funct_2-3, axiom, ( v1_funct_1(skolem11(_u55, _u54)) )).
% 0.46/0.64 cnf(rc1_funct_2-4, axiom, ( v1_funct_2(skolem11(_u55, _u54), _u55, _u54) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u57) | m1_subset_1(skolem12(_u57), k1_zfmisc_1(_u57)) )).
% 0.46/0.64 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u57) | ~v1_xboole_0(skolem12(_u57)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem13) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem14(_u61, _u60), _u61, _u60) )).
% 0.46/0.64 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem14(_u61, _u60)) )).
% 0.46/0.64 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem14(_u61, _u60)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem15(_u63), k1_zfmisc_1(_u63)) )).
% 0.46/0.64 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem15(_u63)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem16) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem17) )).
% 0.46/0.64 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem17) )).
% 0.46/0.64
% 0.46/0.64 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u67) | ~l1_struct_0(_u67) | m1_subset_1(skolem18(_u67), k1_zfmisc_1(u1_struct_0(_u67))) )).
% 0.46/0.64 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u67) | ~l1_struct_0(_u67) | ~v1_xboole_0(skolem18(_u67)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u71, _u75, _u73) | m1_relset_1(_u71, _u75, _u73) )).
% 0.46/0.64 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u72, _u76, _u74) | m2_relset_1(_u72, _u76, _u74) )).
% 0.46/0.64
% 0.46/0.64 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.46/0.64 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u78, _u78) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t18_latsubgr ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t18_latsubgr-1, axiom, ( v3_struct_0(_u81) | ~v3_group_1(_u81) | ~v4_group_1(_u81) | ~l1_group_1(_u81) | ~v1_group_1(_u80) | ~m1_group_2(_u80, _u81) | ~m1_subset_1(_u79, u1_struct_0(_u81)) | ~r2_hidden(_u79, k1_funct_1(k1_latsubgr(_u81), _u80)) | r1_rlvect_1(_u80, _u79) )).
% 0.46/0.64 cnf(t18_latsubgr-2, axiom, ( v3_struct_0(_u81) | ~v3_group_1(_u81) | ~v4_group_1(_u81) | ~l1_group_1(_u81) | ~v1_group_1(_u80) | ~m1_group_2(_u80, _u81) | ~m1_subset_1(_u79, u1_struct_0(_u81)) | ~r1_rlvect_1(_u80, _u79) | r2_hidden(_u79, k1_funct_1(k1_latsubgr(_u81), _u80)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u83, _u82) | m1_subset_1(_u83, _u82) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u85, _u84) | v1_xboole_0(_u84) | r2_hidden(_u85, _u84) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u90, k1_zfmisc_1(_u88)) | r1_tarski(_u90, _u88) )).
% 0.46/0.64 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u91, _u89) | m1_subset_1(_u91, k1_zfmisc_1(_u89)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u94, _u93) | ~m1_subset_1(_u93, k1_zfmisc_1(_u92)) | m1_subset_1(_u94, _u92) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t59_group_2 ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t59_group_2-1, axiom, ( v3_struct_0(_u98) | ~v3_group_1(_u98) | ~v4_group_1(_u98) | ~l1_group_1(_u98) | ~m1_subset_1(_u97, u1_struct_0(_u98)) | ~m1_subset_1(_u96, u1_struct_0(_u98)) | ~m1_group_2(_u95, _u98) | ~r1_rlvect_1(_u95, _u97) | ~r1_rlvect_1(_u95, _u96) | r1_rlvect_1(_u95, k1_group_1(_u98, _u97, _u96)) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u101, _u100) | ~m1_subset_1(_u100, k1_zfmisc_1(_u99)) | ~v1_xboole_0(_u99) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u102) | ( _u102 = k1_xboole_0) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u104, _u103) | ~v1_xboole_0(_u103) )).
% 0.46/0.64
% 0.46/0.64 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.46/0.64 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u106) | ( _u106 = _u105) | ~v1_xboole_0(_u105) )).
% 0.46/0.64
% 0.46/0.64 % Problem matrix:
% 0.46/0.64 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.46/0.64 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.46/0.64 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.46/0.64 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( k1_latsubgr(__eqx_0) = k1_latsubgr(__eqy_0)) )).
% 0.46/0.64 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)) )).
% 0.46/0.64 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k1_group_1(__eqx_0, __eqx_1, __eqx_2) = k1_group_1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.46/0.64 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( u1_group_1(__eqx_0) = u1_group_1(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( g1_group_1(__eqx_0, __eqx_1) = g1_group_1(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( k1_group_3(__eqx_0) = k1_group_3(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 0.46/0.64 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 0.46/0.64 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 0.46/0.64 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v3_group_1(__eqx_0) | v3_group_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~v4_group_1(__eqx_0) | v4_group_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~l1_group_1(__eqx_0) | l1_group_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~v1_group_1(__eqx_0) | v1_group_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_group_2(__eqx_0, __eqx_1) | m1_group_2(__eqy_0, __eqy_1) )).
% 0.46/0.64 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) )).
% 0.46/0.64 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.46/0.64 cnf(matrix-29, 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) )).
% 0.46/0.64 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-31, 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) )).
% 0.46/0.64 cnf(matrix-32, 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) )).
% 0.46/0.64 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.46/0.64 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.46/0.64 cnf(matrix-35, 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) )).
% 0.46/0.64 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 0.46/0.64 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.46/0.64 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_rlvect_1(__eqx_0, __eqx_1) | r1_rlvect_1(__eqy_0, __eqy_1) )).
% 0.46/0.64 cnf(matrix-39, plain, ( ~v3_struct_0(skolem1) )).
% 0.46/0.64 cnf(matrix-40, plain, ( v3_group_1(skolem1) )).
% 0.46/0.64 cnf(matrix-41, plain, ( v4_group_1(skolem1) )).
% 0.46/0.64 cnf(matrix-42, plain, ( l1_group_1(skolem1) )).
% 0.46/0.64 cnf(matrix-43, plain, ( v1_group_1(skolem2) )).
% 0.46/0.64 cnf(matrix-44, plain, ( m1_group_2(skolem2, skolem1) )).
% 0.46/0.64 cnf(matrix-45, plain, ( m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 0.46/0.64 cnf(matrix-46, plain, ( m1_subset_1(skolem4, u1_struct_0(skolem1)) )).
% 0.46/0.64 cnf(matrix-47, plain, ( r2_hidden(skolem3, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.64 cnf(matrix-48, plain, ( r2_hidden(skolem4, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.64 cnf(matrix-49, plain, ( ~r2_hidden(k1_group_1(skolem1, skolem3, skolem4), k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.46/0.64 cnf(matrix-50, plain, ( ~l1_group_1(_u4) | ~v1_group_1(_u4) | ( _u4 = g1_group_1(u1_struct_0(_u4), u1_group_1(_u4))) )).
% 0.46/0.64 cnf(matrix-51, plain, ( ~r2_hidden(_u6, _u5) | ~r2_hidden(_u5, _u6) )).
% 0.46/0.64 cnf(matrix-52, plain, ( ~m1_relset_1(_u7, _u9, _u8) | ~v1_funct_1(_u7) | ~v1_partfun1(_u7, _u9, _u8) | v1_funct_2(_u7, _u9, _u8) )).
% 0.46/0.64 cnf(matrix-53, plain, ( ~m1_subset_1(_u10, k1_zfmisc_1(k2_zfmisc_1(_u12, _u11))) | v1_relat_1(_u10) )).
% 0.46/0.64 cnf(matrix-54, plain, ( v1_xboole_0(_u14) | ~m1_relset_1(_u13, _u15, _u14) | ~v1_funct_1(_u13) | ~v1_funct_2(_u13, _u15, _u14) | v1_partfun1(_u13, _u15, _u14) )).
% 0.46/0.64 cnf(matrix-55, plain, ( v1_xboole_0(_u18) | v1_xboole_0(_u17) | ~m1_relset_1(_u16, _u18, _u17) | ~v1_funct_1(_u16) | ~v1_funct_2(_u16, _u18, _u17) | ~v1_xboole_0(_u16) )).
% 0.46/0.64 cnf(matrix-56, plain, ( v1_xboole_0(_u18) | v1_xboole_0(_u17) | ~m1_relset_1(_u16, _u18, _u17) | ~v1_funct_1(_u16) | ~v1_funct_2(_u16, _u18, _u17) | v1_partfun1(_u16, _u18, _u17) )).
% 0.46/0.64 cnf(matrix-57, plain, ( ~v1_funct_1(_u19) | ~v1_funct_2(_u19, k2_zfmisc_1(_u20, _u20), _u20) | ~m1_relset_1(_u19, k2_zfmisc_1(_u20, _u20), _u20) | v1_group_1(g1_group_1(_u20, _u19)) )).
% 0.46/0.64 cnf(matrix-58, plain, ( ~v1_funct_1(_u19) | ~v1_funct_2(_u19, k2_zfmisc_1(_u20, _u20), _u20) | ~m1_relset_1(_u19, k2_zfmisc_1(_u20, _u20), _u20) | l1_group_1(g1_group_1(_u20, _u19)) )).
% 0.46/0.64 cnf(matrix-59, plain, ( v3_struct_0(_u23) | ~l1_group_1(_u23) | ~m1_subset_1(_u22, u1_struct_0(_u23)) | ~m1_subset_1(_u21, u1_struct_0(_u23)) | m1_subset_1(k1_group_1(_u23, _u22, _u21), u1_struct_0(_u23)) )).
% 0.46/0.64 cnf(matrix-60, plain, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | v1_funct_1(k1_latsubgr(_u24)) )).
% 0.46/0.64 cnf(matrix-61, plain, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | v1_funct_2(k1_latsubgr(_u24), k1_group_3(_u24), k1_zfmisc_1(u1_struct_0(_u24))) )).
% 0.46/0.64 cnf(matrix-62, plain, ( v3_struct_0(_u24) | ~v3_group_1(_u24) | ~v4_group_1(_u24) | ~l1_group_1(_u24) | m2_relset_1(k1_latsubgr(_u24), k1_group_3(_u24), k1_zfmisc_1(u1_struct_0(_u24))) )).
% 0.46/0.64 cnf(matrix-63, plain, ( ~l1_group_1(_u25) | l1_struct_0(_u25) )).
% 0.46/0.64 cnf(matrix-64, plain, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | ~v3_struct_0(_u26) )).
% 0.46/0.64 cnf(matrix-65, plain, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | v3_group_1(_u26) )).
% 0.46/0.64 cnf(matrix-66, plain, ( v3_struct_0(_u27) | ~v3_group_1(_u27) | ~l1_group_1(_u27) | ~m1_group_2(_u26, _u27) | l1_group_1(_u26) )).
% 0.46/0.64 cnf(matrix-67, plain, ( ~m2_relset_1(_u28, _u30, _u29) | m1_subset_1(_u28, k1_zfmisc_1(k2_zfmisc_1(_u30, _u29))) )).
% 0.46/0.64 cnf(matrix-68, plain, ( ~l1_group_1(_u31) | v1_funct_1(u1_group_1(_u31)) )).
% 0.46/0.64 cnf(matrix-69, plain, ( ~l1_group_1(_u31) | v1_funct_2(u1_group_1(_u31), k2_zfmisc_1(u1_struct_0(_u31), u1_struct_0(_u31)), u1_struct_0(_u31)) )).
% 0.46/0.64 cnf(matrix-70, plain, ( ~l1_group_1(_u31) | m2_relset_1(u1_group_1(_u31), k2_zfmisc_1(u1_struct_0(_u31), u1_struct_0(_u31)), u1_struct_0(_u31)) )).
% 0.46/0.64 cnf(matrix-71, plain, ( l1_group_1(skolem5) )).
% 0.46/0.64 cnf(matrix-72, plain, ( l1_struct_0(skolem6) )).
% 0.46/0.64 cnf(matrix-73, plain, ( v3_struct_0(_u35) | ~v3_group_1(_u35) | ~l1_group_1(_u35) | m1_group_2(skolem7(_u35), _u35) )).
% 0.46/0.64 cnf(matrix-74, plain, ( m1_relset_1(skolem8(_u38, _u37), _u38, _u37) )).
% 0.46/0.64 cnf(matrix-75, plain, ( m1_subset_1(skolem9(_u40), _u40) )).
% 0.46/0.64 cnf(matrix-76, plain, ( m2_relset_1(skolem10(_u43, _u42), _u43, _u42) )).
% 0.46/0.64 cnf(matrix-77, plain, ( v3_struct_0(_u44) | ~v3_group_1(_u44) | ~v4_group_1(_u44) | ~l1_group_1(_u44) | ~v1_xboole_0(k1_group_3(_u44)) )).
% 0.46/0.64 cnf(matrix-78, plain, ( v3_struct_0(_u45) | ~l1_struct_0(_u45) | ~v1_xboole_0(u1_struct_0(_u45)) )).
% 0.46/0.64 cnf(matrix-79, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u46)) )).
% 0.46/0.64 cnf(matrix-80, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.46/0.64 cnf(matrix-81, plain, ( v1_xboole_0(_u48) | v1_xboole_0(_u47) | ~v1_xboole_0(k2_zfmisc_1(_u48, _u47)) )).
% 0.46/0.64 cnf(matrix-82, plain, ( ~v1_funct_1(_u51) | ~v1_funct_2(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ~m1_relset_1(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ( g1_group_1(_u52, _u51) != g1_group_1(_u50, _u49)) | ( _u52 = _u50) )).
% 0.46/0.64 cnf(matrix-83, plain, ( ~v1_funct_1(_u51) | ~v1_funct_2(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ~m1_relset_1(_u51, k2_zfmisc_1(_u52, _u52), _u52) | ( g1_group_1(_u52, _u51) != g1_group_1(_u50, _u49)) | ( _u51 = _u49) )).
% 0.46/0.64 cnf(matrix-84, plain, ( m1_relset_1(skolem11(_u55, _u54), _u55, _u54) )).
% 0.46/0.64 cnf(matrix-85, plain, ( v1_relat_1(skolem11(_u55, _u54)) )).
% 0.46/0.64 cnf(matrix-86, plain, ( v1_funct_1(skolem11(_u55, _u54)) )).
% 0.46/0.64 cnf(matrix-87, plain, ( v1_funct_2(skolem11(_u55, _u54), _u55, _u54) )).
% 0.46/0.64 cnf(matrix-88, plain, ( v1_xboole_0(_u57) | m1_subset_1(skolem12(_u57), k1_zfmisc_1(_u57)) )).
% 0.46/0.64 cnf(matrix-89, plain, ( v1_xboole_0(_u57) | ~v1_xboole_0(skolem12(_u57)) )).
% 0.46/0.64 cnf(matrix-90, plain, ( v1_xboole_0(skolem13) )).
% 0.46/0.64 cnf(matrix-91, plain, ( m1_relset_1(skolem14(_u61, _u60), _u61, _u60) )).
% 0.46/0.64 cnf(matrix-92, plain, ( v1_relat_1(skolem14(_u61, _u60)) )).
% 0.46/0.64 cnf(matrix-93, plain, ( v1_funct_1(skolem14(_u61, _u60)) )).
% 0.46/0.64 cnf(matrix-94, plain, ( m1_subset_1(skolem15(_u63), k1_zfmisc_1(_u63)) )).
% 0.46/0.64 cnf(matrix-95, plain, ( v1_xboole_0(skolem15(_u63)) )).
% 0.46/0.64 cnf(matrix-96, plain, ( ~v1_xboole_0(skolem16) )).
% 0.46/0.64 cnf(matrix-97, plain, ( l1_struct_0(skolem17) )).
% 0.46/0.64 cnf(matrix-98, plain, ( ~v3_struct_0(skolem17) )).
% 0.46/0.64 cnf(matrix-99, plain, ( v3_struct_0(_u67) | ~l1_struct_0(_u67) | m1_subset_1(skolem18(_u67), k1_zfmisc_1(u1_struct_0(_u67))) )).
% 0.46/0.64 cnf(matrix-100, plain, ( v3_struct_0(_u67) | ~l1_struct_0(_u67) | ~v1_xboole_0(skolem18(_u67)) )).
% 0.46/0.64 cnf(matrix-101, plain, ( ~m2_relset_1(_u71, _u75, _u73) | m1_relset_1(_u71, _u75, _u73) )).
% 0.46/0.64 cnf(matrix-102, plain, ( ~m1_relset_1(_u72, _u76, _u74) | m2_relset_1(_u72, _u76, _u74) )).
% 0.46/0.64 cnf(matrix-103, plain, ( r1_tarski(_u78, _u78) )).
% 0.46/0.64 cnf(matrix-104, plain, ( v3_struct_0(_u81) | ~v3_group_1(_u81) | ~v4_group_1(_u81) | ~l1_group_1(_u81) | ~v1_group_1(_u80) | ~m1_group_2(_u80, _u81) | ~m1_subset_1(_u79, u1_struct_0(_u81)) | ~r2_hidden(_u79, k1_funct_1(k1_latsubgr(_u81), _u80)) | r1_rlvect_1(_u80, _u79) )).
% 0.46/0.64 cnf(matrix-105, plain, ( v3_struct_0(_u81) | ~v3_group_1(_u81) | ~v4_group_1(_u81) | ~l1_group_1(_u81) | ~v1_group_1(_u80) | ~m1_group_2(_u80, _u81) | ~m1_subset_1(_u79, u1_struct_0(_u81)) | ~r1_rlvect_1(_u80, _u79) | r2_hidden(_u79, k1_funct_1(k1_latsubgr(_u81), _u80)) )).
% 0.46/0.64 cnf(matrix-106, plain, ( ~r2_hidden(_u83, _u82) | m1_subset_1(_u83, _u82) )).
% 0.46/0.64 cnf(matrix-107, plain, ( ~m1_subset_1(_u85, _u84) | v1_xboole_0(_u84) | r2_hidden(_u85, _u84) )).
% 0.46/0.64 cnf(matrix-108, plain, ( ~m1_subset_1(_u90, k1_zfmisc_1(_u88)) | r1_tarski(_u90, _u88) )).
% 0.46/0.64 cnf(matrix-109, plain, ( ~r1_tarski(_u91, _u89) | m1_subset_1(_u91, k1_zfmisc_1(_u89)) )).
% 0.46/0.64 cnf(matrix-110, plain, ( ~r2_hidden(_u94, _u93) | ~m1_subset_1(_u93, k1_zfmisc_1(_u92)) | m1_subset_1(_u94, _u92) )).
% 0.46/0.64 cnf(matrix-111, plain, ( v3_struct_0(_u98) | ~v3_group_1(_u98) | ~v4_group_1(_u98) | ~l1_group_1(_u98) | ~m1_subset_1(_u97, u1_struct_0(_u98)) | ~m1_subset_1(_u96, u1_struct_0(_u98)) | ~m1_group_2(_u95, _u98) | ~r1_rlvect_1(_u95, _u97) | ~r1_rlvect_1(_u95, _u96) | r1_rlvect_1(_u95, k1_group_1(_u98, _u97, _u96)) )).
% 0.46/0.64 cnf(matrix-112, plain, ( ~r2_hidden(_u101, _u100) | ~m1_subset_1(_u100, k1_zfmisc_1(_u99)) | ~v1_xboole_0(_u99) )).
% 0.46/0.64 cnf(matrix-113, plain, ( ~v1_xboole_0(_u102) | ( _u102 = k1_xboole_0) )).
% 0.46/0.64 cnf(matrix-114, plain, ( ~r2_hidden(_u104, _u103) | ~v1_xboole_0(_u103) )).
% 0.46/0.64 cnf(matrix-115, plain, ( ~v1_xboole_0(_u106) | ( _u106 = _u105) | ~v1_xboole_0(_u105) )).
% 0.46/0.64
% 0.46/0.64 % Proof stack:
% 0.46/0.64 cnf(proof-stack, plain,
% 0.46/0.64 proof_stack(
% 0.46/0.64 start(39),
% 0.46/0.64 left_branch(0, 111, 0, 2),
% 0.46/0.64 left_branch(0, 105, 7, 3),
% 0.46/0.64 reduction(0, 0),
% 0.46/0.64 left_branch(0, 49, 0, 5),
% 0.46/0.64 right_branch(5),
% 0.46/0.64 left_branch(0, 59, 4, 6),
% 0.46/0.64 lemmata(0, 0),
% 0.46/0.64 left_branch(0, 46, 0, 8),
% 0.46/0.64 right_branch(8),
% 0.46/0.64 left_branch(0, 45, 0, 9),
% 0.46/0.64 right_branch(9),
% 0.46/0.64 left_branch(0, 42, 0, 10),
% 0.46/0.64 right_branch(10),
% 0.46/0.64 right_branch(6),
% 0.46/0.64 left_branch(0, 44, 0, 7),
% 0.46/0.64 right_branch(7),
% 0.46/0.64 left_branch(0, 43, 0, 8),
% 0.46/0.64 right_branch(8),
% 0.46/0.64 left_branch(0, 42, 0, 9),
% 0.46/0.64 right_branch(9),
% 0.46/0.64 left_branch(0, 41, 0, 10),
% 0.46/0.64 right_branch(10),
% 0.46/0.64 left_branch(0, 40, 0, 11),
% 0.46/0.64 right_branch(11),
% 0.46/0.64 right_branch(3),
% 0.46/0.64 left_branch(0, 104, 8, 4),
% 0.46/0.64 reduction(0, 0),
% 0.46/0.64 left_branch(0, 48, 0, 6),
% 0.46/0.64 right_branch(6),
% 0.46/0.64 left_branch(0, 46, 0, 7),
% 0.46/0.64 right_branch(7),
% 0.46/0.64 left_branch(0, 44, 0, 8),
% 0.46/0.64 right_branch(8),
% 0.46/0.64 left_branch(0, 43, 0, 9),
% 0.46/0.64 right_branch(9),
% 0.46/0.64 left_branch(0, 42, 0, 10),
% 0.46/0.64 right_branch(10),
% 0.46/0.64 left_branch(0, 41, 0, 11),
% 0.46/0.64 right_branch(11),
% 0.46/0.64 left_branch(0, 40, 0, 12),
% 0.46/0.64 right_branch(12),
% 0.46/0.64 right_branch(4),
% 0.46/0.64 left_branch(0, 104, 8, 5),
% 0.46/0.64 reduction(0, 0),
% 0.46/0.64 left_branch(0, 47, 0, 7),
% 0.46/0.64 right_branch(7),
% 0.46/0.64 left_branch(0, 45, 0, 8),
% 0.46/0.64 right_branch(8),
% 0.46/0.64 left_branch(0, 44, 0, 9),
% 0.46/0.64 right_branch(9),
% 0.46/0.64 left_branch(0, 43, 0, 10),
% 0.46/0.64 right_branch(10),
% 0.46/0.64 left_branch(0, 42, 0, 11),
% 0.46/0.64 right_branch(11),
% 0.46/0.64 left_branch(0, 41, 0, 12),
% 0.46/0.64 right_branch(12),
% 0.46/0.64 left_branch(0, 40, 0, 13),
% 0.46/0.64 right_branch(13),
% 0.46/0.64 right_branch(5),
% 0.46/0.64 left_branch(0, 44, 0, 6),
% 0.46/0.64 right_branch(6),
% 0.46/0.64 left_branch(0, 46, 0, 7),
% 0.46/0.64 right_branch(7),
% 0.46/0.64 left_branch(0, 45, 0, 8),
% 0.46/0.64 right_branch(8),
% 0.46/0.64 left_branch(0, 42, 0, 9),
% 0.46/0.64 right_branch(9),
% 0.46/0.64 left_branch(0, 41, 0, 10),
% 0.46/0.64 right_branch(10),
% 0.46/0.64 left_branch(0, 40, 0, 11),
% 0.46/0.64 right_branch(11),
% 0.46/0.64 right_branch(2)
% 0.46/0.64 )).
% 0.46/0.64 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------