TSTP Solution File: GRP644+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:14:24 EDT 2024
% Result : Theorem 0.41s 0.63s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 05:43:00 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.41/0.63 % SZS status Theorem for theBenchmark
% 0.41/0.63 % SZS output start Proof for theBenchmark
% 0.41/0.63
% 0.41/0.63 % Formula: t22_latsubgr ( conjecture ) (definitionally) converted to clauses:
% 0.41/0.63 cnf(t22_latsubgr-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 0.41/0.63 cnf(t22_latsubgr-2, negated_conjecture, ( v3_group_1(skolem1) )).
% 0.41/0.63 cnf(t22_latsubgr-3, negated_conjecture, ( v4_group_1(skolem1) )).
% 0.41/0.63 cnf(t22_latsubgr-4, negated_conjecture, ( l1_group_1(skolem1) )).
% 0.41/0.63 cnf(t22_latsubgr-5, negated_conjecture, ( v1_group_1(skolem2) )).
% 0.41/0.63 cnf(t22_latsubgr-6, negated_conjecture, ( m1_group_2(skolem2, skolem1) )).
% 0.41/0.63 cnf(t22_latsubgr-7, negated_conjecture, ( m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 0.41/0.63 cnf(t22_latsubgr-8, negated_conjecture, ( r2_hidden(skolem3, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.41/0.63 cnf(t22_latsubgr-9, negated_conjecture, ( ~r2_hidden(k3_group_1(skolem1, skolem3), k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: abstractness_v1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 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))) )).
% 0.41/0.63
% 0.41/0.63 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.41/0.63 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.41/0.63
% 0.41/0.63 % Formula: cc1_funct_2 ( axiom ) converted to clauses:
% 0.41/0.63 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) )).
% 0.41/0.63
% 0.41/0.63 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 0.41/0.63
% 0.41/0.63 % Formula: cc5_funct_2 ( axiom ) converted to clauses:
% 0.41/0.63 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) )).
% 0.41/0.63
% 0.41/0.63 % Formula: cc6_funct_2 ( axiom ) converted to clauses:
% 0.41/0.63 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) )).
% 0.41/0.63 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) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_g1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_g1_group_1-1, axiom, ( ~v1_funct_1(_u18) | ~v1_funct_2(_u18, k2_zfmisc_1(_u19, _u19), _u19) | ~m1_relset_1(_u18, k2_zfmisc_1(_u19, _u19), _u19) | v1_group_1(g1_group_1(_u19, _u18)) )).
% 0.41/0.63 cnf(dt_g1_group_1-2, axiom, ( ~v1_funct_1(_u18) | ~v1_funct_2(_u18, k2_zfmisc_1(_u19, _u19), _u19) | ~m1_relset_1(_u18, k2_zfmisc_1(_u19, _u19), _u19) | l1_group_1(g1_group_1(_u19, _u18)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k1_funct_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k1_funct_1, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k1_group_3 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k1_group_3, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k1_latsubgr ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k1_latsubgr-1, axiom, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | v1_funct_1(k1_latsubgr(_u20)) )).
% 0.41/0.63 cnf(dt_k1_latsubgr-2, axiom, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | v1_funct_2(k1_latsubgr(_u20), k1_group_3(_u20), k1_zfmisc_1(u1_struct_0(_u20))) )).
% 0.41/0.63 cnf(dt_k1_latsubgr-3, axiom, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | m2_relset_1(k1_latsubgr(_u20), k1_group_3(_u20), k1_zfmisc_1(u1_struct_0(_u20))) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k1_xboole_0, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_k3_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_k3_group_1-1, axiom, ( v3_struct_0(_u22) | ~v3_group_1(_u22) | ~v4_group_1(_u22) | ~l1_group_1(_u22) | ~m1_subset_1(_u21, u1_struct_0(_u22)) | m1_subset_1(k3_group_1(_u22, _u21), u1_struct_0(_u22)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_l1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_l1_group_1-1, axiom, ( ~l1_group_1(_u23) | l1_struct_0(_u23) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_l1_struct_0, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_m1_group_2 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_m1_group_2-1, axiom, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | ~v3_struct_0(_u24) )).
% 0.41/0.63 cnf(dt_m1_group_2-2, axiom, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | v3_group_1(_u24) )).
% 0.41/0.63 cnf(dt_m1_group_2-3, axiom, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | l1_group_1(_u24) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_m1_relset_1, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_m1_subset_1, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u26, _u28, _u27) | m1_subset_1(_u26, k1_zfmisc_1(k2_zfmisc_1(_u28, _u27))) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_u1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_u1_group_1-1, axiom, ( ~l1_group_1(_u29) | v1_funct_1(u1_group_1(_u29)) )).
% 0.41/0.63 cnf(dt_u1_group_1-2, axiom, ( ~l1_group_1(_u29) | v1_funct_2(u1_group_1(_u29), k2_zfmisc_1(u1_struct_0(_u29), u1_struct_0(_u29)), u1_struct_0(_u29)) )).
% 0.41/0.63 cnf(dt_u1_group_1-3, axiom, ( ~l1_group_1(_u29) | m2_relset_1(u1_group_1(_u29), k2_zfmisc_1(u1_struct_0(_u29), u1_struct_0(_u29)), u1_struct_0(_u29)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(dt_u1_struct_0, axiom, $true).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_l1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_l1_group_1-1, axiom, ( l1_group_1(skolem4) )).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem5) )).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_m1_group_2 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_m1_group_2-1, axiom, ( v3_struct_0(_u33) | ~v3_group_1(_u33) | ~l1_group_1(_u33) | m1_group_2(skolem6(_u33), _u33) )).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem7(_u36, _u35), _u36, _u35) )).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem8(_u38), _u38) )).
% 0.41/0.63
% 0.41/0.63 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem9(_u41, _u40), _u41, _u40) )).
% 0.41/0.63
% 0.41/0.63 % Formula: fc1_group_3 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(fc1_group_3-1, axiom, ( v3_struct_0(_u42) | ~v3_group_1(_u42) | ~v4_group_1(_u42) | ~l1_group_1(_u42) | ~v1_xboole_0(k1_group_3(_u42)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | ~v1_xboole_0(u1_struct_0(_u43)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u44)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.41/0.63
% 0.41/0.63 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u46) | v1_xboole_0(_u45) | ~v1_xboole_0(k2_zfmisc_1(_u46, _u45)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: free_g1_group_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(free_g1_group_1-1, axiom, ( ~v1_funct_1(_u49) | ~v1_funct_2(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ~m1_relset_1(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ( g1_group_1(_u50, _u49) != g1_group_1(_u48, _u47)) | ( _u50 = _u48) )).
% 0.41/0.63 cnf(free_g1_group_1-2, axiom, ( ~v1_funct_1(_u49) | ~v1_funct_2(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ~m1_relset_1(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ( g1_group_1(_u50, _u49) != g1_group_1(_u48, _u47)) | ( _u49 = _u47) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc1_funct_2 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc1_funct_2-1, axiom, ( m1_relset_1(skolem10(_u53, _u52), _u53, _u52) )).
% 0.41/0.63 cnf(rc1_funct_2-2, axiom, ( v1_relat_1(skolem10(_u53, _u52)) )).
% 0.41/0.63 cnf(rc1_funct_2-3, axiom, ( v1_funct_1(skolem10(_u53, _u52)) )).
% 0.41/0.63 cnf(rc1_funct_2-4, axiom, ( v1_funct_2(skolem10(_u53, _u52), _u53, _u52) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u55) | m1_subset_1(skolem11(_u55), k1_zfmisc_1(_u55)) )).
% 0.41/0.63 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u55) | ~v1_xboole_0(skolem11(_u55)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem12) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem13(_u59, _u58), _u59, _u58) )).
% 0.41/0.63 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem13(_u59, _u58)) )).
% 0.41/0.63 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem13(_u59, _u58)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem14(_u61), k1_zfmisc_1(_u61)) )).
% 0.41/0.63 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem14(_u61)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem15) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem16) )).
% 0.41/0.63 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem16) )).
% 0.41/0.63
% 0.41/0.63 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u65) | ~l1_struct_0(_u65) | m1_subset_1(skolem17(_u65), k1_zfmisc_1(u1_struct_0(_u65))) )).
% 0.41/0.63 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u65) | ~l1_struct_0(_u65) | ~v1_xboole_0(skolem17(_u65)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u69, _u73, _u71) | m1_relset_1(_u69, _u73, _u71) )).
% 0.41/0.63 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u70, _u74, _u72) | m2_relset_1(_u70, _u74, _u72) )).
% 0.41/0.63
% 0.41/0.63 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.41/0.63 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u76, _u76) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t18_latsubgr ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t18_latsubgr-1, axiom, ( v3_struct_0(_u79) | ~v3_group_1(_u79) | ~v4_group_1(_u79) | ~l1_group_1(_u79) | ~v1_group_1(_u78) | ~m1_group_2(_u78, _u79) | ~m1_subset_1(_u77, u1_struct_0(_u79)) | ~r2_hidden(_u77, k1_funct_1(k1_latsubgr(_u79), _u78)) | r1_rlvect_1(_u78, _u77) )).
% 0.41/0.63 cnf(t18_latsubgr-2, axiom, ( v3_struct_0(_u79) | ~v3_group_1(_u79) | ~v4_group_1(_u79) | ~l1_group_1(_u79) | ~v1_group_1(_u78) | ~m1_group_2(_u78, _u79) | ~m1_subset_1(_u77, u1_struct_0(_u79)) | ~r1_rlvect_1(_u78, _u77) | r2_hidden(_u77, k1_funct_1(k1_latsubgr(_u79), _u78)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u81, _u80) | m1_subset_1(_u81, _u80) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u83, _u82) | v1_xboole_0(_u82) | r2_hidden(_u83, _u82) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u88, k1_zfmisc_1(_u86)) | r1_tarski(_u88, _u86) )).
% 0.41/0.63 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u89, _u87) | m1_subset_1(_u89, k1_zfmisc_1(_u87)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u92, _u91) | ~m1_subset_1(_u91, k1_zfmisc_1(_u90)) | m1_subset_1(_u92, _u90) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u95, _u94) | ~m1_subset_1(_u94, k1_zfmisc_1(_u93)) | ~v1_xboole_0(_u93) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t60_group_2 ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t60_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_group_2(_u96, _u98) | ~r1_rlvect_1(_u96, _u97) | r1_rlvect_1(_u96, k3_group_1(_u98, _u97)) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u99) | ( _u99 = k1_xboole_0) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u101, _u100) | ~v1_xboole_0(_u100) )).
% 0.41/0.63
% 0.41/0.63 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.41/0.63 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u103) | ( _u103 = _u102) | ~v1_xboole_0(_u102) )).
% 0.41/0.63
% 0.41/0.63 % Problem matrix:
% 0.41/0.63 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.41/0.63 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.41/0.63 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.41/0.63 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( k1_latsubgr(__eqx_0) = k1_latsubgr(__eqy_0)) )).
% 0.41/0.63 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)) )).
% 0.41/0.63 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k3_group_1(__eqx_0, __eqx_1) = k3_group_1(__eqy_0, __eqy_1)) )).
% 0.41/0.63 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( u1_group_1(__eqx_0) = u1_group_1(__eqy_0)) )).
% 0.41/0.63 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)) )).
% 0.41/0.63 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)) )).
% 0.41/0.63 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( k1_group_3(__eqx_0) = k1_group_3(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 0.41/0.63 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 0.41/0.63 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 0.41/0.63 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 0.41/0.63 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 0.41/0.63 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 0.41/0.63 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v3_group_1(__eqx_0) | v3_group_1(__eqy_0) )).
% 0.41/0.63 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~v4_group_1(__eqx_0) | v4_group_1(__eqy_0) )).
% 0.41/0.63 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~l1_group_1(__eqx_0) | l1_group_1(__eqy_0) )).
% 0.41/0.63 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~v1_group_1(__eqx_0) | v1_group_1(__eqy_0) )).
% 0.41/0.63 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) )).
% 0.41/0.63 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) )).
% 0.41/0.63 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.41/0.63 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) )).
% 0.41/0.63 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 0.41/0.63 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) )).
% 0.41/0.63 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) )).
% 0.41/0.63 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.41/0.63 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.41/0.63 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) )).
% 0.41/0.63 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 0.41/0.63 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.41/0.63 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) )).
% 0.41/0.63 cnf(matrix-39, plain, ( ~v3_struct_0(skolem1) )).
% 0.41/0.63 cnf(matrix-40, plain, ( v3_group_1(skolem1) )).
% 0.41/0.63 cnf(matrix-41, plain, ( v4_group_1(skolem1) )).
% 0.41/0.63 cnf(matrix-42, plain, ( l1_group_1(skolem1) )).
% 0.41/0.63 cnf(matrix-43, plain, ( v1_group_1(skolem2) )).
% 0.41/0.63 cnf(matrix-44, plain, ( m1_group_2(skolem2, skolem1) )).
% 0.41/0.63 cnf(matrix-45, plain, ( m1_subset_1(skolem3, u1_struct_0(skolem1)) )).
% 0.41/0.63 cnf(matrix-46, plain, ( r2_hidden(skolem3, k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.41/0.63 cnf(matrix-47, plain, ( ~r2_hidden(k3_group_1(skolem1, skolem3), k1_funct_1(k1_latsubgr(skolem1), skolem2)) )).
% 0.41/0.63 cnf(matrix-48, plain, ( ~l1_group_1(_u3) | ~v1_group_1(_u3) | ( _u3 = g1_group_1(u1_struct_0(_u3), u1_group_1(_u3))) )).
% 0.41/0.63 cnf(matrix-49, plain, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.41/0.63 cnf(matrix-50, plain, ( ~m1_relset_1(_u6, _u8, _u7) | ~v1_funct_1(_u6) | ~v1_partfun1(_u6, _u8, _u7) | v1_funct_2(_u6, _u8, _u7) )).
% 0.41/0.63 cnf(matrix-51, plain, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 0.41/0.63 cnf(matrix-52, 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) )).
% 0.41/0.63 cnf(matrix-53, 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) )).
% 0.41/0.63 cnf(matrix-54, 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) )).
% 0.41/0.63 cnf(matrix-55, plain, ( ~v1_funct_1(_u18) | ~v1_funct_2(_u18, k2_zfmisc_1(_u19, _u19), _u19) | ~m1_relset_1(_u18, k2_zfmisc_1(_u19, _u19), _u19) | v1_group_1(g1_group_1(_u19, _u18)) )).
% 0.41/0.63 cnf(matrix-56, plain, ( ~v1_funct_1(_u18) | ~v1_funct_2(_u18, k2_zfmisc_1(_u19, _u19), _u19) | ~m1_relset_1(_u18, k2_zfmisc_1(_u19, _u19), _u19) | l1_group_1(g1_group_1(_u19, _u18)) )).
% 0.41/0.63 cnf(matrix-57, plain, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | v1_funct_1(k1_latsubgr(_u20)) )).
% 0.41/0.63 cnf(matrix-58, plain, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | v1_funct_2(k1_latsubgr(_u20), k1_group_3(_u20), k1_zfmisc_1(u1_struct_0(_u20))) )).
% 0.41/0.63 cnf(matrix-59, plain, ( v3_struct_0(_u20) | ~v3_group_1(_u20) | ~v4_group_1(_u20) | ~l1_group_1(_u20) | m2_relset_1(k1_latsubgr(_u20), k1_group_3(_u20), k1_zfmisc_1(u1_struct_0(_u20))) )).
% 0.41/0.63 cnf(matrix-60, plain, ( v3_struct_0(_u22) | ~v3_group_1(_u22) | ~v4_group_1(_u22) | ~l1_group_1(_u22) | ~m1_subset_1(_u21, u1_struct_0(_u22)) | m1_subset_1(k3_group_1(_u22, _u21), u1_struct_0(_u22)) )).
% 0.41/0.63 cnf(matrix-61, plain, ( ~l1_group_1(_u23) | l1_struct_0(_u23) )).
% 0.41/0.63 cnf(matrix-62, plain, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | ~v3_struct_0(_u24) )).
% 0.41/0.63 cnf(matrix-63, plain, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | v3_group_1(_u24) )).
% 0.41/0.63 cnf(matrix-64, plain, ( v3_struct_0(_u25) | ~v3_group_1(_u25) | ~l1_group_1(_u25) | ~m1_group_2(_u24, _u25) | l1_group_1(_u24) )).
% 0.41/0.63 cnf(matrix-65, plain, ( ~m2_relset_1(_u26, _u28, _u27) | m1_subset_1(_u26, k1_zfmisc_1(k2_zfmisc_1(_u28, _u27))) )).
% 0.41/0.63 cnf(matrix-66, plain, ( ~l1_group_1(_u29) | v1_funct_1(u1_group_1(_u29)) )).
% 0.41/0.63 cnf(matrix-67, plain, ( ~l1_group_1(_u29) | v1_funct_2(u1_group_1(_u29), k2_zfmisc_1(u1_struct_0(_u29), u1_struct_0(_u29)), u1_struct_0(_u29)) )).
% 0.41/0.63 cnf(matrix-68, plain, ( ~l1_group_1(_u29) | m2_relset_1(u1_group_1(_u29), k2_zfmisc_1(u1_struct_0(_u29), u1_struct_0(_u29)), u1_struct_0(_u29)) )).
% 0.41/0.63 cnf(matrix-69, plain, ( l1_group_1(skolem4) )).
% 0.41/0.63 cnf(matrix-70, plain, ( l1_struct_0(skolem5) )).
% 0.41/0.63 cnf(matrix-71, plain, ( v3_struct_0(_u33) | ~v3_group_1(_u33) | ~l1_group_1(_u33) | m1_group_2(skolem6(_u33), _u33) )).
% 0.41/0.63 cnf(matrix-72, plain, ( m1_relset_1(skolem7(_u36, _u35), _u36, _u35) )).
% 0.41/0.63 cnf(matrix-73, plain, ( m1_subset_1(skolem8(_u38), _u38) )).
% 0.41/0.63 cnf(matrix-74, plain, ( m2_relset_1(skolem9(_u41, _u40), _u41, _u40) )).
% 0.41/0.63 cnf(matrix-75, plain, ( v3_struct_0(_u42) | ~v3_group_1(_u42) | ~v4_group_1(_u42) | ~l1_group_1(_u42) | ~v1_xboole_0(k1_group_3(_u42)) )).
% 0.41/0.63 cnf(matrix-76, plain, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | ~v1_xboole_0(u1_struct_0(_u43)) )).
% 0.41/0.63 cnf(matrix-77, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u44)) )).
% 0.41/0.63 cnf(matrix-78, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.41/0.63 cnf(matrix-79, plain, ( v1_xboole_0(_u46) | v1_xboole_0(_u45) | ~v1_xboole_0(k2_zfmisc_1(_u46, _u45)) )).
% 0.41/0.63 cnf(matrix-80, plain, ( ~v1_funct_1(_u49) | ~v1_funct_2(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ~m1_relset_1(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ( g1_group_1(_u50, _u49) != g1_group_1(_u48, _u47)) | ( _u50 = _u48) )).
% 0.41/0.63 cnf(matrix-81, plain, ( ~v1_funct_1(_u49) | ~v1_funct_2(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ~m1_relset_1(_u49, k2_zfmisc_1(_u50, _u50), _u50) | ( g1_group_1(_u50, _u49) != g1_group_1(_u48, _u47)) | ( _u49 = _u47) )).
% 0.41/0.63 cnf(matrix-82, plain, ( m1_relset_1(skolem10(_u53, _u52), _u53, _u52) )).
% 0.41/0.63 cnf(matrix-83, plain, ( v1_relat_1(skolem10(_u53, _u52)) )).
% 0.41/0.63 cnf(matrix-84, plain, ( v1_funct_1(skolem10(_u53, _u52)) )).
% 0.41/0.63 cnf(matrix-85, plain, ( v1_funct_2(skolem10(_u53, _u52), _u53, _u52) )).
% 0.41/0.63 cnf(matrix-86, plain, ( v1_xboole_0(_u55) | m1_subset_1(skolem11(_u55), k1_zfmisc_1(_u55)) )).
% 0.41/0.63 cnf(matrix-87, plain, ( v1_xboole_0(_u55) | ~v1_xboole_0(skolem11(_u55)) )).
% 0.41/0.63 cnf(matrix-88, plain, ( v1_xboole_0(skolem12) )).
% 0.41/0.63 cnf(matrix-89, plain, ( m1_relset_1(skolem13(_u59, _u58), _u59, _u58) )).
% 0.41/0.63 cnf(matrix-90, plain, ( v1_relat_1(skolem13(_u59, _u58)) )).
% 0.41/0.63 cnf(matrix-91, plain, ( v1_funct_1(skolem13(_u59, _u58)) )).
% 0.41/0.63 cnf(matrix-92, plain, ( m1_subset_1(skolem14(_u61), k1_zfmisc_1(_u61)) )).
% 0.41/0.63 cnf(matrix-93, plain, ( v1_xboole_0(skolem14(_u61)) )).
% 0.41/0.63 cnf(matrix-94, plain, ( ~v1_xboole_0(skolem15) )).
% 0.41/0.63 cnf(matrix-95, plain, ( l1_struct_0(skolem16) )).
% 0.41/0.63 cnf(matrix-96, plain, ( ~v3_struct_0(skolem16) )).
% 0.41/0.63 cnf(matrix-97, plain, ( v3_struct_0(_u65) | ~l1_struct_0(_u65) | m1_subset_1(skolem17(_u65), k1_zfmisc_1(u1_struct_0(_u65))) )).
% 0.41/0.63 cnf(matrix-98, plain, ( v3_struct_0(_u65) | ~l1_struct_0(_u65) | ~v1_xboole_0(skolem17(_u65)) )).
% 0.41/0.63 cnf(matrix-99, plain, ( ~m2_relset_1(_u69, _u73, _u71) | m1_relset_1(_u69, _u73, _u71) )).
% 0.41/0.63 cnf(matrix-100, plain, ( ~m1_relset_1(_u70, _u74, _u72) | m2_relset_1(_u70, _u74, _u72) )).
% 0.41/0.63 cnf(matrix-101, plain, ( r1_tarski(_u76, _u76) )).
% 0.41/0.63 cnf(matrix-102, plain, ( v3_struct_0(_u79) | ~v3_group_1(_u79) | ~v4_group_1(_u79) | ~l1_group_1(_u79) | ~v1_group_1(_u78) | ~m1_group_2(_u78, _u79) | ~m1_subset_1(_u77, u1_struct_0(_u79)) | ~r2_hidden(_u77, k1_funct_1(k1_latsubgr(_u79), _u78)) | r1_rlvect_1(_u78, _u77) )).
% 0.41/0.63 cnf(matrix-103, plain, ( v3_struct_0(_u79) | ~v3_group_1(_u79) | ~v4_group_1(_u79) | ~l1_group_1(_u79) | ~v1_group_1(_u78) | ~m1_group_2(_u78, _u79) | ~m1_subset_1(_u77, u1_struct_0(_u79)) | ~r1_rlvect_1(_u78, _u77) | r2_hidden(_u77, k1_funct_1(k1_latsubgr(_u79), _u78)) )).
% 0.41/0.63 cnf(matrix-104, plain, ( ~r2_hidden(_u81, _u80) | m1_subset_1(_u81, _u80) )).
% 0.41/0.63 cnf(matrix-105, plain, ( ~m1_subset_1(_u83, _u82) | v1_xboole_0(_u82) | r2_hidden(_u83, _u82) )).
% 0.41/0.63 cnf(matrix-106, plain, ( ~m1_subset_1(_u88, k1_zfmisc_1(_u86)) | r1_tarski(_u88, _u86) )).
% 0.41/0.63 cnf(matrix-107, plain, ( ~r1_tarski(_u89, _u87) | m1_subset_1(_u89, k1_zfmisc_1(_u87)) )).
% 0.41/0.63 cnf(matrix-108, plain, ( ~r2_hidden(_u92, _u91) | ~m1_subset_1(_u91, k1_zfmisc_1(_u90)) | m1_subset_1(_u92, _u90) )).
% 0.41/0.63 cnf(matrix-109, plain, ( ~r2_hidden(_u95, _u94) | ~m1_subset_1(_u94, k1_zfmisc_1(_u93)) | ~v1_xboole_0(_u93) )).
% 0.41/0.63 cnf(matrix-110, 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_group_2(_u96, _u98) | ~r1_rlvect_1(_u96, _u97) | r1_rlvect_1(_u96, k3_group_1(_u98, _u97)) )).
% 0.41/0.63 cnf(matrix-111, plain, ( ~v1_xboole_0(_u99) | ( _u99 = k1_xboole_0) )).
% 0.41/0.63 cnf(matrix-112, plain, ( ~r2_hidden(_u101, _u100) | ~v1_xboole_0(_u100) )).
% 0.41/0.63 cnf(matrix-113, plain, ( ~v1_xboole_0(_u103) | ( _u103 = _u102) | ~v1_xboole_0(_u102) )).
% 0.41/0.63
% 0.41/0.63 % Proof stack:
% 0.41/0.63 cnf(proof-stack, plain,
% 0.41/0.63 proof_stack(
% 0.41/0.63 start(39),
% 0.41/0.63 left_branch(0, 110, 0, 2),
% 0.41/0.63 left_branch(0, 103, 7, 3),
% 0.41/0.63 reduction(0, 0),
% 0.41/0.63 left_branch(0, 47, 0, 5),
% 0.41/0.63 right_branch(5),
% 0.41/0.63 left_branch(0, 60, 5, 6),
% 0.41/0.63 lemmata(0, 0),
% 0.41/0.63 left_branch(0, 45, 0, 8),
% 0.41/0.63 right_branch(8),
% 0.41/0.63 left_branch(0, 42, 0, 9),
% 0.41/0.63 right_branch(9),
% 0.41/0.63 left_branch(0, 41, 0, 10),
% 0.41/0.63 right_branch(10),
% 0.41/0.63 left_branch(0, 40, 0, 11),
% 0.41/0.63 right_branch(11),
% 0.41/0.63 right_branch(6),
% 0.41/0.63 left_branch(0, 44, 0, 7),
% 0.41/0.63 right_branch(7),
% 0.41/0.63 left_branch(0, 43, 0, 8),
% 0.41/0.63 right_branch(8),
% 0.41/0.63 left_branch(0, 42, 0, 9),
% 0.41/0.63 right_branch(9),
% 0.41/0.63 left_branch(0, 41, 0, 10),
% 0.41/0.63 right_branch(10),
% 0.41/0.63 left_branch(0, 40, 0, 11),
% 0.41/0.63 right_branch(11),
% 0.41/0.63 right_branch(3),
% 0.41/0.63 left_branch(0, 102, 8, 4),
% 0.41/0.63 reduction(0, 0),
% 0.41/0.63 left_branch(0, 46, 0, 6),
% 0.41/0.63 right_branch(6),
% 0.41/0.63 left_branch(0, 45, 0, 7),
% 0.41/0.63 right_branch(7),
% 0.41/0.63 left_branch(0, 44, 0, 8),
% 0.41/0.63 right_branch(8),
% 0.41/0.63 left_branch(0, 43, 0, 9),
% 0.41/0.63 right_branch(9),
% 0.41/0.63 left_branch(0, 42, 0, 10),
% 0.41/0.63 right_branch(10),
% 0.41/0.63 left_branch(0, 41, 0, 11),
% 0.41/0.63 right_branch(11),
% 0.41/0.63 left_branch(0, 40, 0, 12),
% 0.41/0.63 right_branch(12),
% 0.41/0.63 right_branch(4),
% 0.41/0.63 left_branch(0, 44, 0, 5),
% 0.41/0.63 right_branch(5),
% 0.41/0.63 left_branch(0, 45, 0, 6),
% 0.41/0.63 right_branch(6),
% 0.41/0.63 left_branch(0, 42, 0, 7),
% 0.41/0.63 right_branch(7),
% 0.41/0.63 left_branch(0, 41, 0, 8),
% 0.41/0.63 right_branch(8),
% 0.41/0.63 left_branch(0, 40, 0, 9),
% 0.41/0.63 right_branch(9),
% 0.41/0.63 right_branch(2)
% 0.41/0.63 )).
% 0.41/0.63 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------