%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Mar 25 14:33:46 EDT 2024

% Result   : Theorem 0.18s 0.52s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Mar 20 15:30:33 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% 0.18/0.52  
% 0.18/0.52  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.18/0.52  cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(cc1_funct_1-1, axiom, ( ~empty(_u2) | function(_u2) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(cc2_funct_1-1, axiom, ( ~relation(_u3) | ~empty(_u3) | ~function(_u3) | one_to_one(_u3) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u5, _u4) = set_union2(_u4, _u5)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u7, _u6) = set_intersection2(_u6, _u7)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: d3_tarski ( axiom ) converted to clauses:
% 0.18/0.52  cnf(d3_tarski-1, axiom, ( ~subset(_u14, _u12) | ~in(_u8, _u14) | in(_u8, _u12) )).
% 0.18/0.52  cnf(d3_tarski-2, axiom, ( subset(_u15, _u13) | in(skolem1(_u15, _u13), _u15) )).
% 0.18/0.52  cnf(d3_tarski-3, axiom, ( subset(_u15, _u13) | ~in(skolem1(_u15, _u13), _u13) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: d6_relat_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(d6_relat_1-1, axiom, ( ~relation(_u16) | ( relation_field(_u16) = set_union2(relation_dom(_u16), relation_rng(_u16))) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: d6_wellord1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(d6_wellord1-1, axiom, ( ~relation(_u18) | ( relation_restriction(_u18, _u17) = set_intersection2(_u18, cartesian_product2(_u17, _u17))) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k1_relat_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k1_xboole_0, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k2_relat_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k2_wellord1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k2_wellord1-1, axiom, ( ~relation(_u20) | relation(relation_restriction(_u20, _u19)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k2_xboole_0, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k3_relat_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k3_relat_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_k3_xboole_0, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(dt_m1_subset_1, axiom, $true).
% 0.18/0.52  
% 0.18/0.52  % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(existence_m1_subset_1-1, axiom, ( element(skolem2(_u22), _u22) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(fc2_xboole_0-1, axiom, ( empty(_u24) | ~empty(set_union2(_u24, _u23)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(fc3_xboole_0-1, axiom, ( empty(_u26) | ~empty(set_union2(_u25, _u26)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u28, _u28) = _u28) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u30, _u30) = _u30) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(rc1_funct_1-1, axiom, ( relation(skolem3) )).
% 0.18/0.52  cnf(rc1_funct_1-2, axiom, ( function(skolem3) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(rc1_xboole_0-1, axiom, ( empty(skolem4) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(rc2_funct_1-1, axiom, ( relation(skolem5) )).
% 0.18/0.52  cnf(rc2_funct_1-2, axiom, ( empty(skolem5) )).
% 0.18/0.52  cnf(rc2_funct_1-3, axiom, ( function(skolem5) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem6) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(rc3_funct_1-1, axiom, ( relation(skolem7) )).
% 0.18/0.52  cnf(rc3_funct_1-2, axiom, ( function(skolem7) )).
% 0.18/0.52  cnf(rc3_funct_1-3, axiom, ( one_to_one(skolem7) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.18/0.52  cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u37, _u37) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t19_wellord1 ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t19_wellord1-1, axiom, ( ~relation(_u38) | ~in(_u40, relation_field(relation_restriction(_u38, _u39))) | in(_u40, relation_field(_u38)) )).
% 0.18/0.52  cnf(t19_wellord1-2, axiom, ( ~relation(_u38) | ~in(_u40, relation_field(relation_restriction(_u38, _u39))) | in(_u40, _u39) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t1_boole ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t1_boole-1, axiom, ( ( set_union2(_u41, empty_set) = _u41) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t1_subset ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t1_subset-1, axiom, ( ~in(_u43, _u42) | element(_u43, _u42) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t20_wellord1 ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.52  cnf(t20_wellord1-1, negated_conjecture, ( relation(skolem9) )).
% 0.18/0.52  cnf(t20_wellord1-2, negated_conjecture, ( ~subset(relation_field(relation_restriction(skolem9, skolem8)), relation_field(skolem9)) | ~subset(relation_field(relation_restriction(skolem9, skolem8)), skolem8) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t2_boole ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t2_boole-1, axiom, ( ( set_intersection2(_u46, empty_set) = empty_set) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t2_subset ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t2_subset-1, axiom, ( ~element(_u48, _u47) | empty(_u47) | in(_u48, _u47) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t3_subset ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t3_subset-1, axiom, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.18/0.52  cnf(t3_subset-2, axiom, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t4_subset ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t4_subset-1, axiom, ( ~in(_u57, _u56) | ~element(_u56, powerset(_u55)) | element(_u57, _u55) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t5_subset ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t5_subset-1, axiom, ( ~in(_u60, _u59) | ~element(_u59, powerset(_u58)) | ~empty(_u58) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t6_boole ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t6_boole-1, axiom, ( ~empty(_u61) | ( _u61 = empty_set) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t7_boole ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t7_boole-1, axiom, ( ~in(_u63, _u62) | ~empty(_u62) )).
% 0.18/0.52  
% 0.18/0.52  % Formula: t8_boole ( axiom ) converted to clauses:
% 0.18/0.52  cnf(t8_boole-1, axiom, ( ~empty(_u65) | ( _u65 = _u64) | ~empty(_u64) )).
% 0.18/0.52  
% 0.18/0.52  % Problem matrix:
% 0.18/0.52  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.52  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.52  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.52  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 0.18/0.52  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 0.18/0.52  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( relation_field(__eqx_0) = relation_field(__eqy_0)) )).
% 0.18/0.52  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 0.18/0.52  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 0.18/0.52  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_restriction(__eqx_0, __eqx_1) = relation_restriction(__eqy_0, __eqy_1)) )).
% 0.18/0.52  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 0.18/0.52  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.18/0.52  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.18/0.52  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.18/0.52  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.18/0.52  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.18/0.52  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.18/0.52  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.18/0.52  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.18/0.52  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.18/0.52  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.18/0.52  cnf(matrix-20, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.18/0.52  cnf(matrix-21, plain, ( ~empty(_u2) | function(_u2) )).
% 0.18/0.52  cnf(matrix-22, plain, ( ~relation(_u3) | ~empty(_u3) | ~function(_u3) | one_to_one(_u3) )).
% 0.18/0.52  cnf(matrix-23, plain, ( ( set_union2(_u5, _u4) = set_union2(_u4, _u5)) )).
% 0.18/0.52  cnf(matrix-24, plain, ( ( set_intersection2(_u7, _u6) = set_intersection2(_u6, _u7)) )).
% 0.18/0.52  cnf(matrix-25, plain, ( ~subset(_u14, _u12) | ~in(_u8, _u14) | in(_u8, _u12) )).
% 0.18/0.52  cnf(matrix-26, plain, ( subset(_u15, _u13) | in(skolem1(_u15, _u13), _u15) )).
% 0.18/0.52  cnf(matrix-27, plain, ( subset(_u15, _u13) | ~in(skolem1(_u15, _u13), _u13) )).
% 0.18/0.52  cnf(matrix-28, plain, ( ~relation(_u16) | ( relation_field(_u16) = set_union2(relation_dom(_u16), relation_rng(_u16))) )).
% 0.18/0.52  cnf(matrix-29, plain, ( ~relation(_u18) | ( relation_restriction(_u18, _u17) = set_intersection2(_u18, cartesian_product2(_u17, _u17))) )).
% 0.18/0.52  cnf(matrix-30, plain, ( ~relation(_u20) | relation(relation_restriction(_u20, _u19)) )).
% 0.18/0.52  cnf(matrix-31, plain, ( element(skolem2(_u22), _u22) )).
% 0.18/0.52  cnf(matrix-32, plain, ( empty(empty_set) )).
% 0.18/0.52  cnf(matrix-33, plain, ( empty(_u24) | ~empty(set_union2(_u24, _u23)) )).
% 0.18/0.52  cnf(matrix-34, plain, ( empty(_u26) | ~empty(set_union2(_u25, _u26)) )).
% 0.18/0.52  cnf(matrix-35, plain, ( ( set_union2(_u28, _u28) = _u28) )).
% 0.18/0.52  cnf(matrix-36, plain, ( ( set_intersection2(_u30, _u30) = _u30) )).
% 0.18/0.52  cnf(matrix-37, plain, ( relation(skolem3) )).
% 0.18/0.52  cnf(matrix-38, plain, ( function(skolem3) )).
% 0.18/0.52  cnf(matrix-39, plain, ( empty(skolem4) )).
% 0.18/0.52  cnf(matrix-40, plain, ( relation(skolem5) )).
% 0.18/0.52  cnf(matrix-41, plain, ( empty(skolem5) )).
% 0.18/0.52  cnf(matrix-42, plain, ( function(skolem5) )).
% 0.18/0.52  cnf(matrix-43, plain, ( ~empty(skolem6) )).
% 0.18/0.52  cnf(matrix-44, plain, ( relation(skolem7) )).
% 0.18/0.52  cnf(matrix-45, plain, ( function(skolem7) )).
% 0.18/0.52  cnf(matrix-46, plain, ( one_to_one(skolem7) )).
% 0.18/0.52  cnf(matrix-47, plain, ( subset(_u37, _u37) )).
% 0.18/0.52  cnf(matrix-48, plain, ( ~relation(_u38) | ~in(_u40, relation_field(relation_restriction(_u38, _u39))) | in(_u40, relation_field(_u38)) )).
% 0.18/0.52  cnf(matrix-49, plain, ( ~relation(_u38) | ~in(_u40, relation_field(relation_restriction(_u38, _u39))) | in(_u40, _u39) )).
% 0.18/0.52  cnf(matrix-50, plain, ( ( set_union2(_u41, empty_set) = _u41) )).
% 0.18/0.52  cnf(matrix-51, plain, ( ~in(_u43, _u42) | element(_u43, _u42) )).
% 0.18/0.52  cnf(matrix-52, plain, ( relation(skolem9) )).
% 0.18/0.52  cnf(matrix-53, plain, ( ~subset(relation_field(relation_restriction(skolem9, skolem8)), relation_field(skolem9)) | ~subset(relation_field(relation_restriction(skolem9, skolem8)), skolem8) )).
% 0.18/0.52  cnf(matrix-54, plain, ( ( set_intersection2(_u46, empty_set) = empty_set) )).
% 0.18/0.52  cnf(matrix-55, plain, ( ~element(_u48, _u47) | empty(_u47) | in(_u48, _u47) )).
% 0.18/0.52  cnf(matrix-56, plain, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.18/0.52  cnf(matrix-57, plain, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.18/0.52  cnf(matrix-58, plain, ( ~in(_u57, _u56) | ~element(_u56, powerset(_u55)) | element(_u57, _u55) )).
% 0.18/0.52  cnf(matrix-59, plain, ( ~in(_u60, _u59) | ~element(_u59, powerset(_u58)) | ~empty(_u58) )).
% 0.18/0.52  cnf(matrix-60, plain, ( ~empty(_u61) | ( _u61 = empty_set) )).
% 0.18/0.52  cnf(matrix-61, plain, ( ~in(_u63, _u62) | ~empty(_u62) )).
% 0.18/0.52  cnf(matrix-62, plain, ( ~empty(_u65) | ( _u65 = _u64) | ~empty(_u64) )).
% 0.18/0.52  
% 0.18/0.52  % Proof stack:
% 0.18/0.52  cnf(proof-stack, plain, 
% 0.18/0.52  proof_stack(
% 0.18/0.52  start(53), 
% 0.18/0.52  left_branch(0, 27, 0, 2), 
% 0.18/0.52  left_branch(0, 48, 2, 3), 
% 0.18/0.52  left_branch(0, 52, 0, 4), 
% 0.18/0.52  right_branch(4), 
% 0.18/0.52  left_branch(0, 26, 1, 5), 
% 0.18/0.52  reduction(0, 0), 
% 0.18/0.52  right_branch(5), 
% 0.18/0.52  right_branch(3), 
% 0.18/0.52  right_branch(2), 
% 0.18/0.52  left_branch(0, 27, 0, 3), 
% 0.18/0.52  left_branch(0, 49, 2, 4), 
% 0.18/0.52  left_branch(0, 52, 0, 5), 
% 0.18/0.52  right_branch(5), 
% 0.18/0.52  left_branch(0, 26, 1, 6), 
% 0.18/0.52  reduction(0, 0), 
% 0.18/0.52  right_branch(6), 
% 0.18/0.52  right_branch(4), 
% 0.18/0.52  right_branch(3)
% 0.18/0.52  )).
% 0.18/0.52  % SZS output end Proof for theBenchmark
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