TSTP Solution File: SEU223+1 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : SEU223+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 : n023.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 09:20:35 EST 2024

% Result   : Theorem 0.20s 0.43s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU223+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Sun Mar  3 10:30:50 EST 2024
% 0.14/0.33  % CPUTime  : 
% 0.20/0.43  % SZS status Theorem for theBenchmark
% 0.20/0.43  % SZS output start Proof for theBenchmark
% 0.20/0.43  
% 0.20/0.43  % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc3_relat_1-1, axiom, ( relation(skolem1) )).
% 0.20/0.43  cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem1) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc13_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc13_relat_1-1, axiom, ( ~relation(_u2) | ~relation_empty_yielding(_u2) | relation(relation_dom_restriction(_u2, _u3)) )).
% 0.20/0.43  cnf(fc13_relat_1-2, axiom, ( ~relation(_u2) | ~relation_empty_yielding(_u2) | relation_empty_yielding(relation_dom_restriction(_u2, _u4)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  
% 0.20/0.43  % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc3_funct_1-1, axiom, ( relation(skolem2) )).
% 0.20/0.43  cnf(rc3_funct_1-2, axiom, ( function(skolem2) )).
% 0.20/0.43  cnf(rc3_funct_1-3, axiom, ( one_to_one(skolem2) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.20/0.43  cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 0.20/0.43  cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 0.20/0.43  cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t2_boole ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t2_boole-1, axiom, ( ( set_intersection2(_u6, empty_set) = empty_set) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(existence_m1_subset_1-1, axiom, ( element(skolem3(_u8), _u8) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.20/0.43  
% 0.20/0.43  % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(cc1_funct_1-1, axiom, ( ~empty(_u9) | function(_u9) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc2_funct_1-1, axiom, ( relation(skolem4) )).
% 0.20/0.43  cnf(rc2_funct_1-2, axiom, ( empty(skolem4) )).
% 0.20/0.43  cnf(rc2_funct_1-3, axiom, ( function(skolem4) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(cc2_funct_1-1, axiom, ( ~relation(_u11) | ~empty(_u11) | ~function(_u11) | one_to_one(_u11) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc1_relat_1-1, axiom, ( empty(skolem5) )).
% 0.20/0.43  cnf(rc1_relat_1-2, axiom, ( relation(skolem5) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(cc1_relat_1-1, axiom, ( ~empty(_u13) | relation(_u13) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 0.20/0.43  cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc5_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc5_relat_1-1, axiom, ( empty(_u15) | ~relation(_u15) | ~empty(relation_dom(_u15)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc7_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc7_relat_1-1, axiom, ( ~empty(_u16) | empty(relation_dom(_u16)) )).
% 0.20/0.43  cnf(fc7_relat_1-2, axiom, ( ~empty(_u16) | relation(relation_dom(_u16)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t2_subset ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t2_subset-1, axiom, ( ~element(_u20, _u19) | empty(_u19) | in(_u20, _u19) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t6_boole ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t6_boole-1, axiom, ( ~empty(_u21) | ( _u21 = empty_set) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t8_boole ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t8_boole-1, axiom, ( ~empty(_u23) | ( _u23 = _u22) | ~empty(_u22) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u25, _u24) = set_intersection2(_u24, _u25)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u27, _u27) = _u27) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.20/0.43  cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u29, _u28) | ~in(_u28, _u29) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_k1_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 0.20/0.43  
% 0.20/0.43  % Formula: dt_k7_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(dt_k7_relat_1-1, axiom, ( ~relation(_u31) | relation(relation_dom_restriction(_u31, _u30)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(rc1_funct_1-1, axiom, ( relation(skolem9) )).
% 0.20/0.43  cnf(rc1_funct_1-2, axiom, ( function(skolem9) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc4_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc4_funct_1-1, axiom, ( ~relation(_u34) | ~function(_u34) | relation(relation_dom_restriction(_u34, _u35)) )).
% 0.20/0.43  cnf(fc4_funct_1-2, axiom, ( ~relation(_u34) | ~function(_u34) | function(relation_dom_restriction(_u34, _u36)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: fc1_relat_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(fc1_relat_1-1, axiom, ( ~relation(_u38) | ~relation(_u37) | relation(set_intersection2(_u38, _u37)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t1_subset ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t1_subset-1, axiom, ( ~in(_u40, _u39) | element(_u40, _u39) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t7_boole ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t7_boole-1, axiom, ( ~in(_u42, _u41) | ~empty(_u41) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t70_funct_1 ( conjecture ) converted to clauses:
% 0.20/0.43  cnf(t70_funct_1-1, negated_conjecture, ( relation(skolem12) )).
% 0.20/0.43  cnf(t70_funct_1-2, negated_conjecture, ( function(skolem12) )).
% 0.20/0.43  cnf(t70_funct_1-3, negated_conjecture, ( in(skolem11, relation_dom(relation_dom_restriction(skolem12, skolem10))) )).
% 0.20/0.43  cnf(t70_funct_1-4, negated_conjecture, ( ( apply(relation_dom_restriction(skolem12, skolem10), skolem11) != apply(skolem12, skolem11)) )).
% 0.20/0.43  
% 0.20/0.43  % Formula: t68_funct_1 ( axiom ) converted to clauses:
% 0.20/0.43  cnf(t68_funct_1-1, axiom, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 != relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) = set_intersection2(relation_dom(_u48), _u50)) )).
% 0.20/0.43  cnf(t68_funct_1-2, axiom, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 != relation_dom_restriction(_u48, _u50)) | ~in(_u46, relation_dom(_u49)) | ( apply(_u49, _u46) = apply(_u48, _u46)) )).
% 0.20/0.43  cnf(t68_funct_1-3, axiom, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 = relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) != set_intersection2(relation_dom(_u48), _u50)) | in(skolem13(_u50, _u49, _u48), relation_dom(_u49)) )).
% 0.20/0.43  cnf(t68_funct_1-4, axiom, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 = relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) != set_intersection2(relation_dom(_u48), _u50)) | ( apply(_u49, skolem13(_u50, _u49, _u48)) != apply(_u48, skolem13(_u50, _u49, _u48))) )).
% 0.20/0.43  
% 0.20/0.43  % Problem matrix:
% 0.20/0.43  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.20/0.43  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.20/0.43  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.20/0.43  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_dom_restriction(__eqx_0, __eqx_1) = relation_dom_restriction(__eqy_0, __eqy_1)) )).
% 0.20/0.43  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 0.20/0.43  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 0.20/0.43  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 0.20/0.43  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.20/0.43  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem13(__eqx_0, __eqx_1, __eqx_2) = skolem13(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.20/0.43  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 0.20/0.43  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.20/0.43  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.20/0.43  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.20/0.43  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.20/0.43  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.20/0.43  cnf(matrix-16, plain, ( relation(skolem1) )).
% 0.20/0.43  cnf(matrix-17, plain, ( relation_empty_yielding(skolem1) )).
% 0.20/0.43  cnf(matrix-18, plain, ( ~relation(_u2) | ~relation_empty_yielding(_u2) | relation(relation_dom_restriction(_u2, _u3)) )).
% 0.20/0.43  cnf(matrix-19, plain, ( ~relation(_u2) | ~relation_empty_yielding(_u2) | relation_empty_yielding(relation_dom_restriction(_u2, _u4)) )).
% 0.20/0.43  cnf(matrix-20, plain, ( relation(skolem2) )).
% 0.20/0.43  cnf(matrix-21, plain, ( function(skolem2) )).
% 0.20/0.43  cnf(matrix-22, plain, ( one_to_one(skolem2) )).
% 0.20/0.43  cnf(matrix-23, plain, ( empty(empty_set) )).
% 0.20/0.43  cnf(matrix-24, plain, ( relation(empty_set) )).
% 0.20/0.43  cnf(matrix-25, plain, ( empty(empty_set) )).
% 0.20/0.43  cnf(matrix-26, plain, ( relation(empty_set) )).
% 0.20/0.43  cnf(matrix-27, plain, ( relation_empty_yielding(empty_set) )).
% 0.20/0.43  cnf(matrix-28, plain, ( empty(empty_set) )).
% 0.20/0.43  cnf(matrix-29, plain, ( ( set_intersection2(_u6, empty_set) = empty_set) )).
% 0.20/0.43  cnf(matrix-30, plain, ( element(skolem3(_u8), _u8) )).
% 0.20/0.43  cnf(matrix-31, plain, ( ~empty(_u9) | function(_u9) )).
% 0.20/0.43  cnf(matrix-32, plain, ( relation(skolem4) )).
% 0.20/0.43  cnf(matrix-33, plain, ( empty(skolem4) )).
% 0.20/0.43  cnf(matrix-34, plain, ( function(skolem4) )).
% 0.20/0.43  cnf(matrix-35, plain, ( ~relation(_u11) | ~empty(_u11) | ~function(_u11) | one_to_one(_u11) )).
% 0.20/0.43  cnf(matrix-36, plain, ( empty(skolem5) )).
% 0.20/0.43  cnf(matrix-37, plain, ( relation(skolem5) )).
% 0.20/0.43  cnf(matrix-38, plain, ( ~empty(_u13) | relation(_u13) )).
% 0.20/0.43  cnf(matrix-39, plain, ( ~empty(skolem6) )).
% 0.20/0.43  cnf(matrix-40, plain, ( relation(skolem6) )).
% 0.20/0.43  cnf(matrix-41, plain, ( empty(_u15) | ~relation(_u15) | ~empty(relation_dom(_u15)) )).
% 0.20/0.43  cnf(matrix-42, plain, ( ~empty(_u16) | empty(relation_dom(_u16)) )).
% 0.20/0.43  cnf(matrix-43, plain, ( ~empty(_u16) | relation(relation_dom(_u16)) )).
% 0.20/0.43  cnf(matrix-44, plain, ( empty(skolem7) )).
% 0.20/0.43  cnf(matrix-45, plain, ( ~empty(skolem8) )).
% 0.20/0.43  cnf(matrix-46, plain, ( ~element(_u20, _u19) | empty(_u19) | in(_u20, _u19) )).
% 0.20/0.43  cnf(matrix-47, plain, ( ~empty(_u21) | ( _u21 = empty_set) )).
% 0.20/0.43  cnf(matrix-48, plain, ( ~empty(_u23) | ( _u23 = _u22) | ~empty(_u22) )).
% 0.20/0.43  cnf(matrix-49, plain, ( ( set_intersection2(_u25, _u24) = set_intersection2(_u24, _u25)) )).
% 0.20/0.43  cnf(matrix-50, plain, ( ( set_intersection2(_u27, _u27) = _u27) )).
% 0.20/0.43  cnf(matrix-51, plain, ( ~in(_u29, _u28) | ~in(_u28, _u29) )).
% 0.20/0.43  cnf(matrix-52, plain, ( ~relation(_u31) | relation(relation_dom_restriction(_u31, _u30)) )).
% 0.20/0.43  cnf(matrix-53, plain, ( relation(skolem9) )).
% 0.20/0.43  cnf(matrix-54, plain, ( function(skolem9) )).
% 0.20/0.43  cnf(matrix-55, plain, ( ~relation(_u34) | ~function(_u34) | relation(relation_dom_restriction(_u34, _u35)) )).
% 0.20/0.43  cnf(matrix-56, plain, ( ~relation(_u34) | ~function(_u34) | function(relation_dom_restriction(_u34, _u36)) )).
% 0.20/0.43  cnf(matrix-57, plain, ( ~relation(_u38) | ~relation(_u37) | relation(set_intersection2(_u38, _u37)) )).
% 0.20/0.43  cnf(matrix-58, plain, ( ~in(_u40, _u39) | element(_u40, _u39) )).
% 0.20/0.43  cnf(matrix-59, plain, ( ~in(_u42, _u41) | ~empty(_u41) )).
% 0.20/0.43  cnf(matrix-60, plain, ( relation(skolem12) )).
% 0.20/0.43  cnf(matrix-61, plain, ( function(skolem12) )).
% 0.20/0.43  cnf(matrix-62, plain, ( in(skolem11, relation_dom(relation_dom_restriction(skolem12, skolem10))) )).
% 0.20/0.43  cnf(matrix-63, plain, ( ( apply(relation_dom_restriction(skolem12, skolem10), skolem11) != apply(skolem12, skolem11)) )).
% 0.20/0.43  cnf(matrix-64, plain, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 != relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) = set_intersection2(relation_dom(_u48), _u50)) )).
% 0.20/0.43  cnf(matrix-65, plain, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 != relation_dom_restriction(_u48, _u50)) | ~in(_u46, relation_dom(_u49)) | ( apply(_u49, _u46) = apply(_u48, _u46)) )).
% 0.20/0.43  cnf(matrix-66, plain, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 = relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) != set_intersection2(relation_dom(_u48), _u50)) | in(skolem13(_u50, _u49, _u48), relation_dom(_u49)) )).
% 0.20/0.43  cnf(matrix-67, plain, ( ~relation(_u49) | ~function(_u49) | ~relation(_u48) | ~function(_u48) | ( _u49 = relation_dom_restriction(_u48, _u50)) | ( relation_dom(_u49) != set_intersection2(relation_dom(_u48), _u50)) | ( apply(_u49, skolem13(_u50, _u49, _u48)) != apply(_u48, skolem13(_u50, _u49, _u48))) )).
% 0.20/0.43  
% 0.20/0.43  % Proof stack:
% 0.20/0.43  cnf(proof-stack, plain, 
% 0.20/0.43  proof_stack(
% 0.20/0.43  start(63), 
% 0.20/0.43  left_branch(0, 65, 6, 2), 
% 0.20/0.43  left_branch(0, 55, 2, 3), 
% 0.20/0.43  left_branch(0, 60, 0, 4), 
% 0.20/0.43  right_branch(4), 
% 0.20/0.43  left_branch(0, 61, 0, 5), 
% 0.20/0.43  right_branch(5), 
% 0.20/0.43  right_branch(3), 
% 0.20/0.43  left_branch(0, 62, 0, 4), 
% 0.20/0.43  right_branch(4), 
% 0.20/0.43  left_branch(0, 3, 2, 5), 
% 0.20/0.43  left_branch(0, 0, 0, 6), 
% 0.20/0.43  right_branch(6), 
% 0.20/0.43  left_branch(0, 0, 0, 7), 
% 0.20/0.43  right_branch(7), 
% 0.20/0.43  right_branch(5), 
% 0.20/0.43  left_branch(0, 61, 0, 6), 
% 0.20/0.43  right_branch(6), 
% 0.20/0.43  left_branch(0, 60, 0, 7), 
% 0.20/0.43  right_branch(7), 
% 0.20/0.43  left_branch(0, 56, 2, 8), 
% 0.20/0.43  lemmata(0, 4), 
% 0.20/0.43  lemmata(0, 3), 
% 0.20/0.43  right_branch(8), 
% 0.20/0.43  right_branch(2)
% 0.20/0.43  )).
% 0.20/0.43  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------