%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : SEU429+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 : n017.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 : Wed Mar  6 09:21:06 EST 2024

% Result   : Theorem 0.19s 0.36s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU429+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 : n017.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 : Sun Mar  3 10:36:43 EST 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  % SZS status Theorem for theBenchmark
% 0.19/0.36  % SZS output start Proof for theBenchmark
% 0.19/0.36  
% 0.19/0.36  % Formula: t28_relset_2 ( conjecture ) converted to clauses:
% 0.19/0.36  cnf(t28_relset_2-1, negated_conjecture, ( ~v1_xboole_0(skolem1) )).
% 0.19/0.36  cnf(t28_relset_2-2, negated_conjecture, ( m1_subset_1(skolem3, k1_zfmisc_1(k1_zfmisc_1(skolem1))) )).
% 0.19/0.36  cnf(t28_relset_2-3, negated_conjecture, ( m2_relset_1(skolem4, skolem1, skolem2) )).
% 0.19/0.36  cnf(t28_relset_2-4, negated_conjecture, ( ~m1_subset_1(a_4_1_relset_2(skolem1, skolem2, skolem3, skolem4), k1_zfmisc_1(k1_zfmisc_1(skolem2))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.19/0.36  cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(cc1_relat_1-1, axiom, ( ~v1_xboole_0(_u6) | v1_relat_1(_u6) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: d4_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(d4_relset_2-1, axiom, ( ~m1_subset_1(_u11, k1_zfmisc_1(_u13)) | ~m1_subset_1(_u10, k1_zfmisc_1(k2_zfmisc_1(_u13, _u12))) | ( k7_relset_2(_u13, _u12, _u11, _u10) = k8_setfam_1(_u12, k4_relset_2(k1_zfmisc_1(_u13), _u12, k6_relset_2(_u12, _u13, _u10), k3_pua2mss1(_u11)))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k3_pua2mss1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k3_pua2mss1-1, axiom, ( m1_eqrel_1(k3_pua2mss1(_u14), _u14) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k4_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k4_relset_2-1, axiom, ( ~m1_subset_1(_u16, k1_zfmisc_1(k2_zfmisc_1(_u18, k1_zfmisc_1(_u17)))) | m1_subset_1(k4_relset_2(_u18, _u17, _u16, _u15), k1_zfmisc_1(k1_zfmisc_1(_u17))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k5_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k5_relset_2-1, axiom, ( ~v1_relat_1(_u19) | v1_relat_1(k5_relset_2(_u20, _u19)) )).
% 0.19/0.36  cnf(dt_k5_relset_2-2, axiom, ( ~v1_relat_1(_u19) | v1_funct_1(k5_relset_2(_u20, _u19)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k6_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k6_relset_2-1, axiom, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | v1_funct_1(k6_relset_2(_u23, _u22, _u21)) )).
% 0.19/0.36  cnf(dt_k6_relset_2-2, axiom, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | v1_funct_2(k6_relset_2(_u23, _u22, _u21), k1_zfmisc_1(_u22), k1_zfmisc_1(_u23)) )).
% 0.19/0.36  cnf(dt_k6_relset_2-3, axiom, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | m2_relset_1(k6_relset_2(_u23, _u22, _u21), k1_zfmisc_1(_u22), k1_zfmisc_1(_u23)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k7_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k8_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k8_relset_2-1, axiom, ( ~m1_subset_1(_u25, k1_zfmisc_1(_u27)) | ~m1_subset_1(_u24, k1_zfmisc_1(k2_zfmisc_1(_u27, _u26))) | m1_subset_1(k8_relset_2(_u27, _u26, _u25, _u24), k1_zfmisc_1(_u26)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k8_setfam_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k8_setfam_1-1, axiom, ( ~m1_subset_1(_u28, k1_zfmisc_1(k1_zfmisc_1(_u29))) | m1_subset_1(k8_setfam_1(_u29, _u28), k1_zfmisc_1(_u29)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k9_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_m1_eqrel_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_m1_eqrel_1-1, axiom, ( ~m1_eqrel_1(_u30, _u31) | m1_subset_1(_u30, k1_zfmisc_1(k1_zfmisc_1(_u31))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u32, _u34, _u33) | m1_subset_1(_u32, k1_zfmisc_1(k2_zfmisc_1(_u34, _u33))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: existence_m1_eqrel_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(existence_m1_eqrel_1-1, axiom, ( m1_eqrel_1(skolem5(_u36), _u36) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem6(_u39, _u38), _u39, _u38) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem7(_u41), _u41) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem8(_u44, _u43), _u44, _u43) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc12_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.36  cnf(fc12_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.36  cnf(fc12_relat_1-3, axiom, ( v3_relat_1(k1_xboole_0) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u45)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc1_sysrel ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc1_sysrel-1, axiom, ( v1_relat_1(k2_zfmisc_1(_u47, _u46)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc4_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.36  cnf(fc4_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u49) | v1_xboole_0(_u48) | ~v1_xboole_0(k2_zfmisc_1(_u49, _u48)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fraenkel_a_4_1_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fraenkel_a_4_1_relset_2-1, axiom, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | m1_subset_1(skolem9(_u56, _u55, _u54, _u53, _u52), k1_zfmisc_1(_u55)) )).
% 0.19/0.36  cnf(fraenkel_a_4_1_relset_2-2, axiom, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | ( _u56 = k8_relset_2(_u55, _u54, skolem9(_u56, _u55, _u54, _u53, _u52), _u52)) )).
% 0.19/0.36  cnf(fraenkel_a_4_1_relset_2-3, axiom, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | r2_hidden(skolem9(_u56, _u55, _u54, _u53, _u52), _u53) )).
% 0.19/0.36  cnf(fraenkel_a_4_1_relset_2-4, axiom, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~m1_subset_1(_u51, k1_zfmisc_1(_u55)) | ( _u56 != k8_relset_2(_u55, _u54, _u51, _u52)) | ~r2_hidden(_u51, _u53) | r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_relat_1-1, axiom, ( v1_xboole_0(skolem10) )).
% 0.19/0.36  cnf(rc1_relat_1-2, axiom, ( v1_relat_1(skolem10) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u59) | m1_subset_1(skolem11(_u59), k1_zfmisc_1(_u59)) )).
% 0.19/0.36  cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u59) | ~v1_xboole_0(skolem11(_u59)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem12(_u62, _u61), _u62, _u61) )).
% 0.19/0.36  cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem12(_u62, _u61)) )).
% 0.19/0.36  cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem12(_u62, _u61)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_relat_1-1, axiom, ( ~v1_xboole_0(skolem13) )).
% 0.19/0.36  cnf(rc2_relat_1-2, axiom, ( v1_relat_1(skolem13) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem14(_u65), k1_zfmisc_1(_u65)) )).
% 0.19/0.36  cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem14(_u65)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc3_relat_1-1, axiom, ( v1_relat_1(skolem15) )).
% 0.19/0.36  cnf(rc3_relat_1-2, axiom, ( v3_relat_1(skolem15) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: redefinition_k4_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(redefinition_k4_relset_2-1, axiom, ( ~m1_subset_1(_u68, k1_zfmisc_1(k2_zfmisc_1(_u70, k1_zfmisc_1(_u69)))) | ( k4_relset_2(_u70, _u69, _u68, _u67) = k9_relat_1(_u68, _u67)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: redefinition_k6_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(redefinition_k6_relset_2-1, axiom, ( ~m1_subset_1(_u71, k1_zfmisc_1(k2_zfmisc_1(_u72, _u73))) | ( k6_relset_2(_u73, _u72, _u71) = k5_relset_2(_u72, _u71)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: redefinition_k8_relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(redefinition_k8_relset_2-1, axiom, ( ~m1_subset_1(_u75, k1_zfmisc_1(_u77)) | ~m1_subset_1(_u74, k1_zfmisc_1(k2_zfmisc_1(_u77, _u76))) | ( k8_relset_2(_u77, _u76, _u75, _u74) = k7_relset_2(_u77, _u76, _u75, _u74)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u81, _u85, _u83) | m1_relset_1(_u81, _u85, _u83) )).
% 0.19/0.36  cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u82, _u86, _u84) | m2_relset_1(_u82, _u86, _u84) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.19/0.36  cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u88, _u88) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: s8_domain_1__e1_38__relset_2 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(s8_domain_1__e1_38__relset_2-1, axiom, ( v1_xboole_0(_u92) | ~m1_subset_1(_u90, k1_zfmisc_1(k1_zfmisc_1(_u92))) | ~m2_relset_1(_u89, _u92, _u91) | m1_subset_1(a_4_1_relset_2(_u92, _u91, _u90, _u89), k1_zfmisc_1(k1_zfmisc_1(_u91))) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t1_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t1_subset-1, axiom, ( ~r2_hidden(_u94, _u93) | m1_subset_1(_u94, _u93) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t2_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u96, _u95) | v1_xboole_0(_u95) | r2_hidden(_u96, _u95) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t2_tarski ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t2_tarski-1, axiom, ( ( _u99 = _u98) | r2_hidden(skolem16(_u99, _u98), _u99) | r2_hidden(skolem17(_u99, _u98), _u98) )).
% 0.19/0.36  cnf(t2_tarski-2, axiom, ( ( _u99 = _u98) | r2_hidden(skolem16(_u99, _u98), _u99) | ~r2_hidden(skolem17(_u99, _u98), _u99) )).
% 0.19/0.36  cnf(t2_tarski-3, axiom, ( ( _u99 = _u98) | ~r2_hidden(skolem16(_u99, _u98), _u98) | r2_hidden(skolem17(_u99, _u98), _u98) )).
% 0.19/0.36  cnf(t2_tarski-4, axiom, ( ( _u99 = _u98) | ~r2_hidden(skolem16(_u99, _u98), _u98) | ~r2_hidden(skolem17(_u99, _u98), _u99) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t3_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u106, k1_zfmisc_1(_u104)) | r1_tarski(_u106, _u104) )).
% 0.19/0.36  cnf(t3_subset-2, axiom, ( ~r1_tarski(_u107, _u105) | m1_subset_1(_u107, k1_zfmisc_1(_u105)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t4_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t4_subset-1, axiom, ( ~r2_hidden(_u110, _u109) | ~m1_subset_1(_u109, k1_zfmisc_1(_u108)) | m1_subset_1(_u110, _u108) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t5_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t5_subset-1, axiom, ( ~r2_hidden(_u113, _u112) | ~m1_subset_1(_u112, k1_zfmisc_1(_u111)) | ~v1_xboole_0(_u111) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t6_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u114) | ( _u114 = k1_xboole_0) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t7_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t7_boole-1, axiom, ( ~r2_hidden(_u116, _u115) | ~v1_xboole_0(_u115) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t8_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u118) | ( _u118 = _u117) | ~v1_xboole_0(_u117) )).
% 0.19/0.36  
% 0.19/0.36  % Problem matrix:
% 0.19/0.36  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.36  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.36  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.36  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( a_4_1_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = a_4_1_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.36  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)) )).
% 0.19/0.36  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k7_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k7_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.36  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k6_relset_2(__eqx_0, __eqx_1, __eqx_2) = k6_relset_2(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.19/0.36  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( k3_pua2mss1(__eqx_0) = k3_pua2mss1(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k4_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k4_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.36  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k8_setfam_1(__eqx_0, __eqx_1) = k8_setfam_1(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k5_relset_2(__eqx_0, __eqx_1) = k5_relset_2(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k8_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k8_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.36  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k9_relat_1(__eqx_0, __eqx_1) = k9_relat_1(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.19/0.36  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.19/0.36  cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-26, 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) )).
% 0.19/0.36  cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.19/0.36  cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_eqrel_1(__eqx_0, __eqx_1) | m1_eqrel_1(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 0.19/0.36  cnf(matrix-31, 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) )).
% 0.19/0.36  cnf(matrix-32, 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) )).
% 0.19/0.36  cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~v3_relat_1(__eqx_0) | v3_relat_1(__eqy_0) )).
% 0.19/0.36  cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-35, plain, ( ~v1_xboole_0(skolem1) )).
% 0.19/0.36  cnf(matrix-36, plain, ( m1_subset_1(skolem3, k1_zfmisc_1(k1_zfmisc_1(skolem1))) )).
% 0.19/0.36  cnf(matrix-37, plain, ( m2_relset_1(skolem4, skolem1, skolem2) )).
% 0.19/0.36  cnf(matrix-38, plain, ( ~m1_subset_1(a_4_1_relset_2(skolem1, skolem2, skolem3, skolem4), k1_zfmisc_1(k1_zfmisc_1(skolem2))) )).
% 0.19/0.36  cnf(matrix-39, plain, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.19/0.36  cnf(matrix-40, plain, ( ~v1_xboole_0(_u6) | v1_relat_1(_u6) )).
% 0.19/0.36  cnf(matrix-41, plain, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 0.19/0.36  cnf(matrix-42, plain, ( ~m1_subset_1(_u11, k1_zfmisc_1(_u13)) | ~m1_subset_1(_u10, k1_zfmisc_1(k2_zfmisc_1(_u13, _u12))) | ( k7_relset_2(_u13, _u12, _u11, _u10) = k8_setfam_1(_u12, k4_relset_2(k1_zfmisc_1(_u13), _u12, k6_relset_2(_u12, _u13, _u10), k3_pua2mss1(_u11)))) )).
% 0.19/0.36  cnf(matrix-43, plain, ( m1_eqrel_1(k3_pua2mss1(_u14), _u14) )).
% 0.19/0.36  cnf(matrix-44, plain, ( ~m1_subset_1(_u16, k1_zfmisc_1(k2_zfmisc_1(_u18, k1_zfmisc_1(_u17)))) | m1_subset_1(k4_relset_2(_u18, _u17, _u16, _u15), k1_zfmisc_1(k1_zfmisc_1(_u17))) )).
% 0.19/0.36  cnf(matrix-45, plain, ( ~v1_relat_1(_u19) | v1_relat_1(k5_relset_2(_u20, _u19)) )).
% 0.19/0.36  cnf(matrix-46, plain, ( ~v1_relat_1(_u19) | v1_funct_1(k5_relset_2(_u20, _u19)) )).
% 0.19/0.36  cnf(matrix-47, plain, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | v1_funct_1(k6_relset_2(_u23, _u22, _u21)) )).
% 0.19/0.36  cnf(matrix-48, plain, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | v1_funct_2(k6_relset_2(_u23, _u22, _u21), k1_zfmisc_1(_u22), k1_zfmisc_1(_u23)) )).
% 0.19/0.36  cnf(matrix-49, plain, ( ~m1_subset_1(_u21, k1_zfmisc_1(k2_zfmisc_1(_u22, _u23))) | m2_relset_1(k6_relset_2(_u23, _u22, _u21), k1_zfmisc_1(_u22), k1_zfmisc_1(_u23)) )).
% 0.19/0.36  cnf(matrix-50, plain, ( ~m1_subset_1(_u25, k1_zfmisc_1(_u27)) | ~m1_subset_1(_u24, k1_zfmisc_1(k2_zfmisc_1(_u27, _u26))) | m1_subset_1(k8_relset_2(_u27, _u26, _u25, _u24), k1_zfmisc_1(_u26)) )).
% 0.19/0.36  cnf(matrix-51, plain, ( ~m1_subset_1(_u28, k1_zfmisc_1(k1_zfmisc_1(_u29))) | m1_subset_1(k8_setfam_1(_u29, _u28), k1_zfmisc_1(_u29)) )).
% 0.19/0.36  cnf(matrix-52, plain, ( ~m1_eqrel_1(_u30, _u31) | m1_subset_1(_u30, k1_zfmisc_1(k1_zfmisc_1(_u31))) )).
% 0.19/0.36  cnf(matrix-53, plain, ( ~m2_relset_1(_u32, _u34, _u33) | m1_subset_1(_u32, k1_zfmisc_1(k2_zfmisc_1(_u34, _u33))) )).
% 0.19/0.36  cnf(matrix-54, plain, ( m1_eqrel_1(skolem5(_u36), _u36) )).
% 0.19/0.36  cnf(matrix-55, plain, ( m1_relset_1(skolem6(_u39, _u38), _u39, _u38) )).
% 0.19/0.36  cnf(matrix-56, plain, ( m1_subset_1(skolem7(_u41), _u41) )).
% 0.19/0.36  cnf(matrix-57, plain, ( m2_relset_1(skolem8(_u44, _u43), _u44, _u43) )).
% 0.19/0.36  cnf(matrix-58, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-59, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-60, plain, ( v3_relat_1(k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-61, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u45)) )).
% 0.19/0.36  cnf(matrix-62, plain, ( v1_relat_1(k2_zfmisc_1(_u47, _u46)) )).
% 0.19/0.36  cnf(matrix-63, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-64, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-65, plain, ( v1_xboole_0(_u49) | v1_xboole_0(_u48) | ~v1_xboole_0(k2_zfmisc_1(_u49, _u48)) )).
% 0.19/0.36  cnf(matrix-66, plain, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | m1_subset_1(skolem9(_u56, _u55, _u54, _u53, _u52), k1_zfmisc_1(_u55)) )).
% 0.19/0.36  cnf(matrix-67, plain, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | ( _u56 = k8_relset_2(_u55, _u54, skolem9(_u56, _u55, _u54, _u53, _u52), _u52)) )).
% 0.19/0.36  cnf(matrix-68, plain, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) | r2_hidden(skolem9(_u56, _u55, _u54, _u53, _u52), _u53) )).
% 0.19/0.36  cnf(matrix-69, plain, ( v1_xboole_0(_u55) | ~m1_subset_1(_u53, k1_zfmisc_1(k1_zfmisc_1(_u55))) | ~m2_relset_1(_u52, _u55, _u54) | ~m1_subset_1(_u51, k1_zfmisc_1(_u55)) | ( _u56 != k8_relset_2(_u55, _u54, _u51, _u52)) | ~r2_hidden(_u51, _u53) | r2_hidden(_u56, a_4_1_relset_2(_u55, _u54, _u53, _u52)) )).
% 0.19/0.36  cnf(matrix-70, plain, ( v1_xboole_0(skolem10) )).
% 0.19/0.36  cnf(matrix-71, plain, ( v1_relat_1(skolem10) )).
% 0.19/0.36  cnf(matrix-72, plain, ( v1_xboole_0(_u59) | m1_subset_1(skolem11(_u59), k1_zfmisc_1(_u59)) )).
% 0.19/0.36  cnf(matrix-73, plain, ( v1_xboole_0(_u59) | ~v1_xboole_0(skolem11(_u59)) )).
% 0.19/0.36  cnf(matrix-74, plain, ( m1_relset_1(skolem12(_u62, _u61), _u62, _u61) )).
% 0.19/0.36  cnf(matrix-75, plain, ( v1_relat_1(skolem12(_u62, _u61)) )).
% 0.19/0.36  cnf(matrix-76, plain, ( v1_funct_1(skolem12(_u62, _u61)) )).
% 0.19/0.36  cnf(matrix-77, plain, ( ~v1_xboole_0(skolem13) )).
% 0.19/0.36  cnf(matrix-78, plain, ( v1_relat_1(skolem13) )).
% 0.19/0.36  cnf(matrix-79, plain, ( m1_subset_1(skolem14(_u65), k1_zfmisc_1(_u65)) )).
% 0.19/0.36  cnf(matrix-80, plain, ( v1_xboole_0(skolem14(_u65)) )).
% 0.19/0.36  cnf(matrix-81, plain, ( v1_relat_1(skolem15) )).
% 0.19/0.36  cnf(matrix-82, plain, ( v3_relat_1(skolem15) )).
% 0.19/0.36  cnf(matrix-83, plain, ( ~m1_subset_1(_u68, k1_zfmisc_1(k2_zfmisc_1(_u70, k1_zfmisc_1(_u69)))) | ( k4_relset_2(_u70, _u69, _u68, _u67) = k9_relat_1(_u68, _u67)) )).
% 0.19/0.36  cnf(matrix-84, plain, ( ~m1_subset_1(_u71, k1_zfmisc_1(k2_zfmisc_1(_u72, _u73))) | ( k6_relset_2(_u73, _u72, _u71) = k5_relset_2(_u72, _u71)) )).
% 0.19/0.36  cnf(matrix-85, plain, ( ~m1_subset_1(_u75, k1_zfmisc_1(_u77)) | ~m1_subset_1(_u74, k1_zfmisc_1(k2_zfmisc_1(_u77, _u76))) | ( k8_relset_2(_u77, _u76, _u75, _u74) = k7_relset_2(_u77, _u76, _u75, _u74)) )).
% 0.19/0.36  cnf(matrix-86, plain, ( ~m2_relset_1(_u81, _u85, _u83) | m1_relset_1(_u81, _u85, _u83) )).
% 0.19/0.36  cnf(matrix-87, plain, ( ~m1_relset_1(_u82, _u86, _u84) | m2_relset_1(_u82, _u86, _u84) )).
% 0.19/0.36  cnf(matrix-88, plain, ( r1_tarski(_u88, _u88) )).
% 0.19/0.36  cnf(matrix-89, plain, ( v1_xboole_0(_u92) | ~m1_subset_1(_u90, k1_zfmisc_1(k1_zfmisc_1(_u92))) | ~m2_relset_1(_u89, _u92, _u91) | m1_subset_1(a_4_1_relset_2(_u92, _u91, _u90, _u89), k1_zfmisc_1(k1_zfmisc_1(_u91))) )).
% 0.19/0.36  cnf(matrix-90, plain, ( ~r2_hidden(_u94, _u93) | m1_subset_1(_u94, _u93) )).
% 0.19/0.36  cnf(matrix-91, plain, ( ~m1_subset_1(_u96, _u95) | v1_xboole_0(_u95) | r2_hidden(_u96, _u95) )).
% 0.19/0.36  cnf(matrix-92, plain, ( ( _u99 = _u98) | r2_hidden(skolem16(_u99, _u98), _u99) | r2_hidden(skolem17(_u99, _u98), _u98) )).
% 0.19/0.36  cnf(matrix-93, plain, ( ( _u99 = _u98) | r2_hidden(skolem16(_u99, _u98), _u99) | ~r2_hidden(skolem17(_u99, _u98), _u99) )).
% 0.19/0.36  cnf(matrix-94, plain, ( ( _u99 = _u98) | ~r2_hidden(skolem16(_u99, _u98), _u98) | r2_hidden(skolem17(_u99, _u98), _u98) )).
% 0.19/0.36  cnf(matrix-95, plain, ( ( _u99 = _u98) | ~r2_hidden(skolem16(_u99, _u98), _u98) | ~r2_hidden(skolem17(_u99, _u98), _u99) )).
% 0.19/0.36  cnf(matrix-96, plain, ( ~m1_subset_1(_u106, k1_zfmisc_1(_u104)) | r1_tarski(_u106, _u104) )).
% 0.19/0.36  cnf(matrix-97, plain, ( ~r1_tarski(_u107, _u105) | m1_subset_1(_u107, k1_zfmisc_1(_u105)) )).
% 0.19/0.36  cnf(matrix-98, plain, ( ~r2_hidden(_u110, _u109) | ~m1_subset_1(_u109, k1_zfmisc_1(_u108)) | m1_subset_1(_u110, _u108) )).
% 0.19/0.36  cnf(matrix-99, plain, ( ~r2_hidden(_u113, _u112) | ~m1_subset_1(_u112, k1_zfmisc_1(_u111)) | ~v1_xboole_0(_u111) )).
% 0.19/0.36  cnf(matrix-100, plain, ( ~v1_xboole_0(_u114) | ( _u114 = k1_xboole_0) )).
% 0.19/0.36  cnf(matrix-101, plain, ( ~r2_hidden(_u116, _u115) | ~v1_xboole_0(_u115) )).
% 0.19/0.36  cnf(matrix-102, plain, ( ~v1_xboole_0(_u118) | ( _u118 = _u117) | ~v1_xboole_0(_u117) )).
% 0.19/0.36  
% 0.19/0.36  % Proof stack:
% 0.19/0.36  cnf(proof-stack, plain, 
% 0.19/0.36  proof_stack(
% 0.19/0.36  start(35), 
% 0.19/0.36  left_branch(0, 89, 0, 2), 
% 0.19/0.36  left_branch(0, 38, 0, 3), 
% 0.19/0.36  right_branch(3), 
% 0.19/0.36  left_branch(0, 37, 0, 4), 
% 0.19/0.36  right_branch(4), 
% 0.19/0.36  left_branch(0, 36, 0, 5), 
% 0.19/0.36  right_branch(5), 
% 0.19/0.36  right_branch(2)
% 0.19/0.36  )).
% 0.19/0.36  % SZS output end Proof for theBenchmark
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