TSTP Solution File: KRS104+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n012.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 14:18:04 EDT 2024

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n012.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 : Thu Mar 21 02:19:30 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.45  % SZS output start Proof for theBenchmark
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_0-1, axiom, ( cowlThing(_u0) )).
% 0.18/0.45  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u0) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_1-1, axiom, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 0.18/0.45  cnf(axiom_1-2, axiom, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u4) | ~ra_Px5(_u4, _u2) )).
% 0.18/0.45  cnf(axiom_2-2, axiom, ( ra_Px5(_u4, skolem1(_u4)) | cUnsatisfiable(_u4) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_3-1, axiom, ( ~cUnsatisfiablexcomp(_u5) | ~_def0(_u5) )).
% 0.18/0.45  cnf(axiom_3-2, axiom, ( ~ca_Cx7(_u5) | ~ca_Cx8(_u5) | ~ca_Cx6(_u5) | cUnsatisfiablexcomp(_u5) )).
% 0.18/0.45  cnf(axiom_3-3, axiom, ( _def0(_u5) | ca_Cx7(_u5) )).
% 0.18/0.45  cnf(axiom_3-4, axiom, ( _def0(_u5) | ca_Cx8(_u5) )).
% 0.18/0.45  cnf(axiom_3-5, axiom, ( _def0(_u5) | ca_Cx6(_u5) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_4-1, axiom, ( ~cUnsatisfiablexcomp(_u8) | ra_Px5(_u8, skolem2(_u8)) )).
% 0.18/0.45  cnf(axiom_4-2, axiom, ( ~ra_Px5(_u8, _u7) | cUnsatisfiablexcomp(_u8) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_5-1, axiom, ( ~ca(_u9) | ca_Cx1(_u9) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_6-1, axiom, ( ~cb(_u12) | ra_Px3(_u12, skolem3(_u12)) )).
% 0.18/0.45  cnf(axiom_6-2, axiom, ( ~ra_Px3(_u12, _u11) | cb(_u12) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_7-1, axiom, ( ~cb(_u13) | ccxcomp(_u13) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_8-1, axiom, ( ~cbxcomp(_u16) | ~ra_Px3(_u16, _u14) )).
% 0.18/0.45  cnf(axiom_8-2, axiom, ( ra_Px3(_u16, skolem4(_u16)) | cbxcomp(_u16) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_9-1, axiom, ( ~cc(_u19) | ra_Px2(_u19, skolem5(_u19)) )).
% 0.18/0.45  cnf(axiom_9-2, axiom, ( ~ra_Px2(_u19, _u18) | cc(_u19) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_10-1, axiom, ( ~ccxcomp(_u22) | ~ra_Px2(_u22, _u20) )).
% 0.18/0.45  cnf(axiom_10-2, axiom, ( ra_Px2(_u22, skolem6(_u22)) | ccxcomp(_u22) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_11-1, axiom, ( ~ca_Cx1(_u23) | ~_def1(_u23) )).
% 0.18/0.45  cnf(axiom_11-2, axiom, ( ~cbxcomp(_u23) | ~ccxcomp(_u23) | ca_Cx1(_u23) )).
% 0.18/0.45  cnf(axiom_11-3, axiom, ( _def1(_u23) | cbxcomp(_u23) )).
% 0.18/0.45  cnf(axiom_11-4, axiom, ( _def1(_u23) | ccxcomp(_u23) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_12-1, axiom, ( ~ca_Cx1(_u26) | ra_Px1(_u26, skolem7(_u26)) )).
% 0.18/0.45  cnf(axiom_12-2, axiom, ( ~ra_Px1(_u26, _u25) | ca_Cx1(_u26) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_13-1, axiom, ( ~ca_Cx1xcomp(_u29) | ~ra_Px1(_u29, _u27) )).
% 0.18/0.45  cnf(axiom_13-2, axiom, ( ra_Px1(_u29, skolem8(_u29)) | ca_Cx1xcomp(_u29) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_14 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_14-1, axiom, ( ~ca_Cx6(_u32) | ~ra_Px6(_u32, _u30) )).
% 0.18/0.45  cnf(axiom_14-2, axiom, ( ra_Px6(_u32, skolem9(_u32)) | ca_Cx6(_u32) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_15 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_15-1, axiom, ( ~ca_Cx6xcomp(_u33) | ~_def2(_u33) )).
% 0.18/0.45  cnf(axiom_15-2, axiom, ( ~ca(_u33) | ~cb(_u33) | ca_Cx6xcomp(_u33) )).
% 0.18/0.45  cnf(axiom_15-3, axiom, ( _def2(_u33) | ca(_u33) )).
% 0.18/0.45  cnf(axiom_15-4, axiom, ( _def2(_u33) | cb(_u33) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_16 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_16-1, axiom, ( ~ca_Cx6xcomp(_u36) | ra_Px6(_u36, skolem10(_u36)) )).
% 0.18/0.45  cnf(axiom_16-2, axiom, ( ~ra_Px6(_u36, _u35) | ca_Cx6xcomp(_u36) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_17 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_17-1, axiom, ( ~ca_Cx7(_u39) | ra_Px7(_u39, skolem11(_u39)) )).
% 0.18/0.45  cnf(axiom_17-2, axiom, ( ~ra_Px7(_u39, _u38) | ca_Cx7(_u39) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_18 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_18-1, axiom, ( ~ca_Cx7xcomp(_u40) | ~_def3(_u40) )).
% 0.18/0.45  cnf(axiom_18-2, axiom, ( ~cc(_u40) | ~ca(_u40) | ca_Cx7xcomp(_u40) )).
% 0.18/0.45  cnf(axiom_18-3, axiom, ( _def3(_u40) | cc(_u40) )).
% 0.18/0.45  cnf(axiom_18-4, axiom, ( _def3(_u40) | ca(_u40) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_19 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_19-1, axiom, ( ~ca_Cx7xcomp(_u43) | ~ra_Px7(_u43, _u41) )).
% 0.18/0.45  cnf(axiom_19-2, axiom, ( ra_Px7(_u43, skolem12(_u43)) | ca_Cx7xcomp(_u43) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_20 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_20-1, axiom, ( ~ca_Cx8(_u46) | ~ra_Px8(_u46, _u44) )).
% 0.18/0.45  cnf(axiom_20-2, axiom, ( ra_Px8(_u46, skolem13(_u46)) | ca_Cx8(_u46) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_21 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_21-1, axiom, ( ~ca_Cx8xcomp(_u49) | ra_Px8(_u49, skolem14(_u49)) )).
% 0.18/0.45  cnf(axiom_21-2, axiom, ( ~ra_Px8(_u49, _u48) | ca_Cx8xcomp(_u49) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_22 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_22-1, axiom, ( ~ca_Cx8xcomp(_u50) | ~_def4(_u50) )).
% 0.18/0.45  cnf(axiom_22-2, axiom, ( ~cc(_u50) | ~cb(_u50) | ca_Cx8xcomp(_u50) )).
% 0.18/0.45  cnf(axiom_22-3, axiom, ( _def4(_u50) | cc(_u50) )).
% 0.18/0.45  cnf(axiom_22-4, axiom, ( _def4(_u50) | cb(_u50) )).
% 0.18/0.45  
% 0.18/0.45  % Formula: axiom_23 ( axiom ) (definitionally) converted to clauses:
% 0.18/0.45  cnf(axiom_23-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_50869) )).
% 0.18/0.45  
% 0.18/0.45  % Problem matrix:
% 0.18/0.45  cnf(matrix-0, plain, ( cowlThing(_u0) )).
% 0.18/0.45  cnf(matrix-1, plain, ( ~cowlNothing(_u0) )).
% 0.18/0.45  cnf(matrix-2, plain, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 0.18/0.45  cnf(matrix-3, plain, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 0.18/0.45  cnf(matrix-4, plain, ( ~cUnsatisfiable(_u4) | ~ra_Px5(_u4, _u2) )).
% 0.18/0.45  cnf(matrix-5, plain, ( ra_Px5(_u4, skolem1(_u4)) | cUnsatisfiable(_u4) )).
% 0.18/0.45  cnf(matrix-6, plain, ( ~cUnsatisfiablexcomp(_u5) | ~_def0(_u5) )).
% 0.18/0.45  cnf(matrix-7, plain, ( ~ca_Cx7(_u5) | ~ca_Cx8(_u5) | ~ca_Cx6(_u5) | cUnsatisfiablexcomp(_u5) )).
% 0.18/0.45  cnf(matrix-8, plain, ( _def0(_u5) | ca_Cx7(_u5) )).
% 0.18/0.45  cnf(matrix-9, plain, ( _def0(_u5) | ca_Cx8(_u5) )).
% 0.18/0.45  cnf(matrix-10, plain, ( _def0(_u5) | ca_Cx6(_u5) )).
% 0.18/0.45  cnf(matrix-11, plain, ( ~cUnsatisfiablexcomp(_u8) | ra_Px5(_u8, skolem2(_u8)) )).
% 0.18/0.45  cnf(matrix-12, plain, ( ~ra_Px5(_u8, _u7) | cUnsatisfiablexcomp(_u8) )).
% 0.18/0.45  cnf(matrix-13, plain, ( ~ca(_u9) | ca_Cx1(_u9) )).
% 0.18/0.45  cnf(matrix-14, plain, ( ~cb(_u12) | ra_Px3(_u12, skolem3(_u12)) )).
% 0.18/0.45  cnf(matrix-15, plain, ( ~ra_Px3(_u12, _u11) | cb(_u12) )).
% 0.18/0.45  cnf(matrix-16, plain, ( ~cb(_u13) | ccxcomp(_u13) )).
% 0.18/0.45  cnf(matrix-17, plain, ( ~cbxcomp(_u16) | ~ra_Px3(_u16, _u14) )).
% 0.18/0.45  cnf(matrix-18, plain, ( ra_Px3(_u16, skolem4(_u16)) | cbxcomp(_u16) )).
% 0.18/0.45  cnf(matrix-19, plain, ( ~cc(_u19) | ra_Px2(_u19, skolem5(_u19)) )).
% 0.18/0.45  cnf(matrix-20, plain, ( ~ra_Px2(_u19, _u18) | cc(_u19) )).
% 0.18/0.45  cnf(matrix-21, plain, ( ~ccxcomp(_u22) | ~ra_Px2(_u22, _u20) )).
% 0.18/0.45  cnf(matrix-22, plain, ( ra_Px2(_u22, skolem6(_u22)) | ccxcomp(_u22) )).
% 0.18/0.45  cnf(matrix-23, plain, ( ~ca_Cx1(_u23) | ~_def1(_u23) )).
% 0.18/0.45  cnf(matrix-24, plain, ( ~cbxcomp(_u23) | ~ccxcomp(_u23) | ca_Cx1(_u23) )).
% 0.18/0.45  cnf(matrix-25, plain, ( _def1(_u23) | cbxcomp(_u23) )).
% 0.18/0.45  cnf(matrix-26, plain, ( _def1(_u23) | ccxcomp(_u23) )).
% 0.18/0.45  cnf(matrix-27, plain, ( ~ca_Cx1(_u26) | ra_Px1(_u26, skolem7(_u26)) )).
% 0.18/0.45  cnf(matrix-28, plain, ( ~ra_Px1(_u26, _u25) | ca_Cx1(_u26) )).
% 0.18/0.45  cnf(matrix-29, plain, ( ~ca_Cx1xcomp(_u29) | ~ra_Px1(_u29, _u27) )).
% 0.18/0.45  cnf(matrix-30, plain, ( ra_Px1(_u29, skolem8(_u29)) | ca_Cx1xcomp(_u29) )).
% 0.18/0.45  cnf(matrix-31, plain, ( ~ca_Cx6(_u32) | ~ra_Px6(_u32, _u30) )).
% 0.18/0.45  cnf(matrix-32, plain, ( ra_Px6(_u32, skolem9(_u32)) | ca_Cx6(_u32) )).
% 0.18/0.45  cnf(matrix-33, plain, ( ~ca_Cx6xcomp(_u33) | ~_def2(_u33) )).
% 0.18/0.45  cnf(matrix-34, plain, ( ~ca(_u33) | ~cb(_u33) | ca_Cx6xcomp(_u33) )).
% 0.18/0.45  cnf(matrix-35, plain, ( _def2(_u33) | ca(_u33) )).
% 0.18/0.45  cnf(matrix-36, plain, ( _def2(_u33) | cb(_u33) )).
% 0.18/0.45  cnf(matrix-37, plain, ( ~ca_Cx6xcomp(_u36) | ra_Px6(_u36, skolem10(_u36)) )).
% 0.18/0.45  cnf(matrix-38, plain, ( ~ra_Px6(_u36, _u35) | ca_Cx6xcomp(_u36) )).
% 0.18/0.45  cnf(matrix-39, plain, ( ~ca_Cx7(_u39) | ra_Px7(_u39, skolem11(_u39)) )).
% 0.18/0.45  cnf(matrix-40, plain, ( ~ra_Px7(_u39, _u38) | ca_Cx7(_u39) )).
% 0.18/0.45  cnf(matrix-41, plain, ( ~ca_Cx7xcomp(_u40) | ~_def3(_u40) )).
% 0.18/0.45  cnf(matrix-42, plain, ( ~cc(_u40) | ~ca(_u40) | ca_Cx7xcomp(_u40) )).
% 0.18/0.45  cnf(matrix-43, plain, ( _def3(_u40) | cc(_u40) )).
% 0.18/0.45  cnf(matrix-44, plain, ( _def3(_u40) | ca(_u40) )).
% 0.18/0.45  cnf(matrix-45, plain, ( ~ca_Cx7xcomp(_u43) | ~ra_Px7(_u43, _u41) )).
% 0.18/0.45  cnf(matrix-46, plain, ( ra_Px7(_u43, skolem12(_u43)) | ca_Cx7xcomp(_u43) )).
% 0.18/0.45  cnf(matrix-47, plain, ( ~ca_Cx8(_u46) | ~ra_Px8(_u46, _u44) )).
% 0.18/0.45  cnf(matrix-48, plain, ( ra_Px8(_u46, skolem13(_u46)) | ca_Cx8(_u46) )).
% 0.18/0.45  cnf(matrix-49, plain, ( ~ca_Cx8xcomp(_u49) | ra_Px8(_u49, skolem14(_u49)) )).
% 0.18/0.45  cnf(matrix-50, plain, ( ~ra_Px8(_u49, _u48) | ca_Cx8xcomp(_u49) )).
% 0.18/0.45  cnf(matrix-51, plain, ( ~ca_Cx8xcomp(_u50) | ~_def4(_u50) )).
% 0.18/0.45  cnf(matrix-52, plain, ( ~cc(_u50) | ~cb(_u50) | ca_Cx8xcomp(_u50) )).
% 0.18/0.45  cnf(matrix-53, plain, ( _def4(_u50) | cc(_u50) )).
% 0.18/0.45  cnf(matrix-54, plain, ( _def4(_u50) | cb(_u50) )).
% 0.18/0.45  cnf(matrix-55, plain, ( cUnsatisfiable(i2003_11_14_17_20_50869) )).
% 0.18/0.45  
% 0.18/0.45  % Proof stack:
% 0.18/0.45  cnf(proof-stack, plain, 
% 0.18/0.45  proof_stack(
% 0.18/0.45  start(6), 
% 0.18/0.45  left_branch(0, 7, 3, 2), 
% 0.18/0.45  left_branch(0, 40, 1, 3), 
% 0.18/0.45  left_branch(0, 46, 0, 4), 
% 0.18/0.45  left_branch(0, 41, 0, 5), 
% 0.18/0.45  left_branch(0, 44, 0, 6), 
% 0.18/0.45  left_branch(0, 13, 0, 7), 
% 0.18/0.45  left_branch(0, 23, 0, 8), 
% 0.18/0.45  left_branch(0, 26, 0, 9), 
% 0.18/0.45  left_branch(0, 21, 0, 10), 
% 0.18/0.45  left_branch(0, 19, 1, 11), 
% 0.18/0.45  left_branch(0, 43, 1, 12), 
% 0.18/0.45  reduction(0, 4), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(10), 
% 0.18/0.45  right_branch(9), 
% 0.18/0.45  right_branch(8), 
% 0.18/0.45  right_branch(7), 
% 0.18/0.45  right_branch(6), 
% 0.18/0.45  right_branch(5), 
% 0.18/0.45  right_branch(4), 
% 0.18/0.45  right_branch(3), 
% 0.18/0.45  left_branch(0, 32, 1, 4), 
% 0.18/0.45  left_branch(0, 38, 0, 5), 
% 0.18/0.45  left_branch(0, 33, 0, 6), 
% 0.18/0.45  left_branch(0, 36, 0, 7), 
% 0.18/0.45  left_branch(0, 16, 0, 8), 
% 0.18/0.45  left_branch(0, 24, 1, 9), 
% 0.18/0.45  left_branch(0, 25, 1, 10), 
% 0.18/0.45  left_branch(0, 23, 1, 11), 
% 0.18/0.45  left_branch(0, 13, 1, 12), 
% 0.18/0.45  left_branch(0, 35, 1, 13), 
% 0.18/0.45  reduction(0, 4), 
% 0.18/0.45  right_branch(13), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(10), 
% 0.18/0.45  left_branch(0, 23, 0, 11), 
% 0.18/0.45  left_branch(0, 25, 0, 12), 
% 0.18/0.45  left_branch(0, 17, 0, 13), 
% 0.18/0.45  left_branch(0, 14, 1, 14), 
% 0.18/0.45  reduction(0, 5), 
% 0.18/0.45  right_branch(14), 
% 0.18/0.45  right_branch(13), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(9), 
% 0.18/0.45  right_branch(8), 
% 0.18/0.45  right_branch(7), 
% 0.18/0.45  right_branch(6), 
% 0.18/0.45  right_branch(5), 
% 0.18/0.45  right_branch(4), 
% 0.18/0.45  left_branch(0, 48, 1, 5), 
% 0.18/0.45  left_branch(0, 50, 0, 6), 
% 0.18/0.45  left_branch(0, 51, 0, 7), 
% 0.18/0.45  left_branch(0, 54, 0, 8), 
% 0.18/0.45  left_branch(0, 16, 0, 9), 
% 0.18/0.45  left_branch(0, 21, 0, 10), 
% 0.18/0.45  left_branch(0, 19, 1, 11), 
% 0.18/0.45  left_branch(0, 53, 1, 12), 
% 0.18/0.45  reduction(0, 4), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(10), 
% 0.18/0.45  right_branch(9), 
% 0.18/0.45  right_branch(8), 
% 0.18/0.45  right_branch(7), 
% 0.18/0.45  right_branch(6), 
% 0.18/0.45  right_branch(5), 
% 0.18/0.45  right_branch(2), 
% 0.18/0.45  left_branch(0, 10, 0, 3), 
% 0.18/0.45  left_branch(0, 31, 0, 4), 
% 0.18/0.45  left_branch(0, 37, 1, 5), 
% 0.18/0.45  left_branch(0, 34, 2, 6), 
% 0.18/0.45  left_branch(0, 44, 1, 7), 
% 0.18/0.45  left_branch(0, 41, 1, 8), 
% 0.18/0.45  left_branch(0, 46, 1, 9), 
% 0.18/0.45  left_branch(0, 40, 0, 10), 
% 0.18/0.45  left_branch(0, 7, 0, 11), 
% 0.18/0.45  left_branch(0, 11, 0, 12), 
% 0.18/0.45  left_branch(0, 4, 1, 13), 
% 0.18/0.45  left_branch(0, 55, 0, 14), 
% 0.18/0.45  right_branch(14), 
% 0.18/0.45  right_branch(13), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  reduction(0, 1), 
% 0.18/0.45  left_branch(0, 9, 1, 14), 
% 0.18/0.45  reduction(0, 0), 
% 0.18/0.45  right_branch(14), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(10), 
% 0.18/0.45  right_branch(9), 
% 0.18/0.45  right_branch(8), 
% 0.18/0.45  right_branch(7), 
% 0.18/0.45  left_branch(0, 54, 1, 8), 
% 0.18/0.45  left_branch(0, 51, 1, 9), 
% 0.18/0.45  left_branch(0, 50, 1, 10), 
% 0.18/0.45  left_branch(0, 48, 0, 11), 
% 0.18/0.45  left_branch(0, 7, 1, 12), 
% 0.18/0.45  left_branch(0, 8, 1, 13), 
% 0.18/0.45  reduction(0, 0), 
% 0.18/0.45  right_branch(13), 
% 0.18/0.45  reduction(0, 1), 
% 0.18/0.45  left_branch(0, 11, 0, 15), 
% 0.18/0.45  left_branch(0, 4, 1, 16), 
% 0.18/0.45  left_branch(0, 55, 0, 17), 
% 0.18/0.45  right_branch(17), 
% 0.18/0.45  right_branch(16), 
% 0.18/0.45  right_branch(15), 
% 0.18/0.45  right_branch(12), 
% 0.18/0.45  right_branch(11), 
% 0.18/0.45  right_branch(10), 
% 0.18/0.45  right_branch(9), 
% 0.18/0.45  right_branch(8), 
% 0.18/0.45  right_branch(6), 
% 0.18/0.45  right_branch(5), 
% 0.18/0.45  right_branch(4), 
% 0.18/0.45  right_branch(3)
% 0.18/0.45  )).
% 0.18/0.45  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------