TSTP Solution File: KRS116+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS116+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 : n005.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 14:18:07 EDT 2024

% Result   : Unsatisfiable 12.99s 13.20s
% Output   : Proof 12.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.31  % Computer : n005.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Thu Mar 21 02:30:30 EDT 2024
% 0.12/0.31  % CPUTime  : 
% 12.99/13.20  % SZS status Unsatisfiable for theBenchmark
% 12.99/13.20  % SZS output start Proof for theBenchmark
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_0-1, axiom, ( cowlThing(_u0) )).
% 12.99/13.20  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u0) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_1-1, axiom, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 12.99/13.20  cnf(axiom_1-2, axiom, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u2) | ca(_u2) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_3-1, axiom, ( ~cUnsatisfiable(_u4) | ~_def0(_u4) )).
% 12.99/13.20  cnf(axiom_3-2, axiom, ( _def0(_u4) | rs(_u4, skolem1(_u4)) )).
% 12.99/13.20  cnf(axiom_3-3, axiom, ( _def0(_u4) | ca_Ax2(skolem1(_u4)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_4-1, axiom, ( ~ca(_u7) | ~ra_Px1(_u7, _u5) )).
% 12.99/13.20  cnf(axiom_4-2, axiom, ( ra_Px1(_u7, skolem2(_u7)) | ca(_u7) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_5-1, axiom, ( ~caxcomp(_u10) | ra_Px1(_u10, skolem3(_u10)) )).
% 12.99/13.20  cnf(axiom_5-2, axiom, ( ~ra_Px1(_u10, _u9) | caxcomp(_u10) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_6-1, axiom, ( ~cc(_u13) | ~rinvR(_u13, _u11) | ca_Vx7(_u11) )).
% 12.99/13.20  cnf(axiom_6-2, axiom, ( ~_def1(_u13) | cc(_u13) )).
% 12.99/13.20  cnf(axiom_6-3, axiom, ( _def1(_u13) | rinvR(_u13, skolem4(_u13)) )).
% 12.99/13.20  cnf(axiom_6-4, axiom, ( _def1(_u13) | ~ca_Vx7(skolem4(_u13)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_7-1, axiom, ( ~ca_Ax2(_u26) | ~_def2(_u14, _u19, _u26, _u15, _u16) )).
% 12.99/13.20  cnf(axiom_7-2, axiom, ( ~_def3(_u26) | ~_def4(_u26) | ~_def5(_u26) | ~rr(_u26, _u23) | ~cowlThing(_u23) | ~rp(_u26, _u24) | ~cowlThing(_u24) | ~_def6(_u26) | ca_Ax2(_u26) )).
% 12.99/13.20  cnf(axiom_7-3, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u14) | ca_Vx3(_u14) )).
% 12.99/13.20  cnf(axiom_7-4, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u15) | ca_Vx5(_u15) )).
% 12.99/13.20  cnf(axiom_7-5, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rr(_u26, _u16) | cc(_u16) )).
% 12.99/13.20  cnf(axiom_7-6, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | rr(_u26, skolem5(_u26)) )).
% 12.99/13.20  cnf(axiom_7-7, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | cowlThing(skolem5(_u26)) )).
% 12.99/13.20  cnf(axiom_7-8, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | rp(_u26, skolem6(_u26)) )).
% 12.99/13.20  cnf(axiom_7-9, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | cowlThing(skolem6(_u26)) )).
% 12.99/13.20  cnf(axiom_7-10, axiom, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u19) | ca_Vx4(_u19) )).
% 12.99/13.20  cnf(axiom_7-11, axiom, ( _def3(_u26) | rp(_u26, skolem7(_u26)) )).
% 12.99/13.20  cnf(axiom_7-12, axiom, ( _def3(_u26) | ~ca_Vx3(skolem7(_u26)) )).
% 12.99/13.20  cnf(axiom_7-13, axiom, ( _def4(_u26) | rp(_u26, skolem8(_u26)) )).
% 12.99/13.20  cnf(axiom_7-14, axiom, ( _def4(_u26) | ~ca_Vx5(skolem8(_u26)) )).
% 12.99/13.20  cnf(axiom_7-15, axiom, ( _def5(_u26) | rr(_u26, skolem9(_u26)) )).
% 12.99/13.20  cnf(axiom_7-16, axiom, ( _def5(_u26) | ~cc(skolem9(_u26)) )).
% 12.99/13.20  cnf(axiom_7-17, axiom, ( _def6(_u26) | rp(_u26, skolem10(_u26)) )).
% 12.99/13.20  cnf(axiom_7-18, axiom, ( _def6(_u26) | ~ca_Vx4(skolem10(_u26)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_8-1, axiom, ( ~ca_Vx3(_u29) | ~_def7(_u29) )).
% 12.99/13.20  cnf(axiom_8-2, axiom, ( ~rr(_u29, _u28) | ~cowlThing(_u28) | ca_Vx3(_u29) )).
% 12.99/13.20  cnf(axiom_8-3, axiom, ( _def7(_u29) | rr(_u29, skolem11(_u29)) )).
% 12.99/13.20  cnf(axiom_8-4, axiom, ( _def7(_u29) | cowlThing(skolem11(_u29)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_9-1, axiom, ( ~ca_Vx4(_u32) | ~_def8(_u32) )).
% 12.99/13.20  cnf(axiom_9-2, axiom, ( ~rp(_u32, _u31) | ~cowlThing(_u31) | ca_Vx4(_u32) )).
% 12.99/13.20  cnf(axiom_9-3, axiom, ( _def8(_u32) | rp(_u32, skolem12(_u32)) )).
% 12.99/13.20  cnf(axiom_9-4, axiom, ( _def8(_u32) | cowlThing(skolem12(_u32)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_10-1, axiom, ( ~ca_Vx5(_u35) | ~rr(_u35, _u33) | cc(_u33) )).
% 12.99/13.20  cnf(axiom_10-2, axiom, ( ~_def9(_u35) | ca_Vx5(_u35) )).
% 12.99/13.20  cnf(axiom_10-3, axiom, ( _def9(_u35) | rr(_u35, skolem13(_u35)) )).
% 12.99/13.20  cnf(axiom_10-4, axiom, ( _def9(_u35) | ~cc(skolem13(_u35)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_11-1, axiom, ( ~ca_Vx6(_u38) | ~rinvS(_u38, _u36) | caxcomp(_u36) )).
% 12.99/13.20  cnf(axiom_11-2, axiom, ( ~_def10(_u38) | ca_Vx6(_u38) )).
% 12.99/13.20  cnf(axiom_11-3, axiom, ( _def10(_u38) | rinvS(_u38, skolem14(_u38)) )).
% 12.99/13.20  cnf(axiom_11-4, axiom, ( _def10(_u38) | ~caxcomp(skolem14(_u38)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_12-1, axiom, ( ~ca_Vx7(_u41) | ~rinvP(_u41, _u39) | ca_Vx6(_u39) )).
% 12.99/13.20  cnf(axiom_12-2, axiom, ( ~_def11(_u41) | ca_Vx7(_u41) )).
% 12.99/13.20  cnf(axiom_12-3, axiom, ( _def11(_u41) | rinvP(_u41, skolem15(_u41)) )).
% 12.99/13.20  cnf(axiom_12-4, axiom, ( _def11(_u41) | ~ca_Vx6(skolem15(_u41)) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_13-1, axiom, ( ~rinvP(_u43, _u42) | rp(_u42, _u43) )).
% 12.99/13.20  cnf(axiom_13-2, axiom, ( ~rp(_u42, _u43) | rinvP(_u43, _u42) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_14 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_14-1, axiom, ( ~rinvR(_u45, _u44) | rr(_u44, _u45) )).
% 12.99/13.20  cnf(axiom_14-2, axiom, ( ~rr(_u44, _u45) | rinvR(_u45, _u44) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_15 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_15-1, axiom, ( ~rinvS(_u47, _u46) | rs(_u46, _u47) )).
% 12.99/13.20  cnf(axiom_15-2, axiom, ( ~rs(_u46, _u47) | rinvS(_u47, _u46) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_16 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_16-1, axiom, ( ~rp(_u50, _u49) | ~rp(_u49, _u48) | rp(_u50, _u48) )).
% 12.99/13.20  
% 12.99/13.20  % Formula: axiom_17 ( axiom ) (definitionally) converted to clauses:
% 12.99/13.20  cnf(axiom_17-1, axiom, ( cUnsatisfiable(i2003_11_14_17_21_33997) )).
% 12.99/13.20  
% 12.99/13.20  % Problem matrix:
% 12.99/13.20  cnf(matrix-0, plain, ( cowlThing(_u0) )).
% 12.99/13.20  cnf(matrix-1, plain, ( ~cowlNothing(_u0) )).
% 12.99/13.20  cnf(matrix-2, plain, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 12.99/13.20  cnf(matrix-3, plain, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 12.99/13.20  cnf(matrix-4, plain, ( ~cUnsatisfiable(_u2) | ca(_u2) )).
% 12.99/13.20  cnf(matrix-5, plain, ( ~cUnsatisfiable(_u4) | ~_def0(_u4) )).
% 12.99/13.20  cnf(matrix-6, plain, ( _def0(_u4) | rs(_u4, skolem1(_u4)) )).
% 12.99/13.20  cnf(matrix-7, plain, ( _def0(_u4) | ca_Ax2(skolem1(_u4)) )).
% 12.99/13.20  cnf(matrix-8, plain, ( ~ca(_u7) | ~ra_Px1(_u7, _u5) )).
% 12.99/13.20  cnf(matrix-9, plain, ( ra_Px1(_u7, skolem2(_u7)) | ca(_u7) )).
% 12.99/13.20  cnf(matrix-10, plain, ( ~caxcomp(_u10) | ra_Px1(_u10, skolem3(_u10)) )).
% 12.99/13.20  cnf(matrix-11, plain, ( ~ra_Px1(_u10, _u9) | caxcomp(_u10) )).
% 12.99/13.20  cnf(matrix-12, plain, ( ~cc(_u13) | ~rinvR(_u13, _u11) | ca_Vx7(_u11) )).
% 12.99/13.20  cnf(matrix-13, plain, ( ~_def1(_u13) | cc(_u13) )).
% 12.99/13.20  cnf(matrix-14, plain, ( _def1(_u13) | rinvR(_u13, skolem4(_u13)) )).
% 12.99/13.20  cnf(matrix-15, plain, ( _def1(_u13) | ~ca_Vx7(skolem4(_u13)) )).
% 12.99/13.20  cnf(matrix-16, plain, ( ~ca_Ax2(_u26) | ~_def2(_u14, _u19, _u26, _u15, _u16) )).
% 12.99/13.20  cnf(matrix-17, plain, ( ~_def3(_u26) | ~_def4(_u26) | ~_def5(_u26) | ~rr(_u26, _u23) | ~cowlThing(_u23) | ~rp(_u26, _u24) | ~cowlThing(_u24) | ~_def6(_u26) | ca_Ax2(_u26) )).
% 12.99/13.20  cnf(matrix-18, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u14) | ca_Vx3(_u14) )).
% 12.99/13.20  cnf(matrix-19, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u15) | ca_Vx5(_u15) )).
% 12.99/13.20  cnf(matrix-20, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rr(_u26, _u16) | cc(_u16) )).
% 12.99/13.20  cnf(matrix-21, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | rr(_u26, skolem5(_u26)) )).
% 12.99/13.20  cnf(matrix-22, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | cowlThing(skolem5(_u26)) )).
% 12.99/13.20  cnf(matrix-23, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | rp(_u26, skolem6(_u26)) )).
% 12.99/13.20  cnf(matrix-24, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | cowlThing(skolem6(_u26)) )).
% 12.99/13.20  cnf(matrix-25, plain, ( _def2(_u14, _u19, _u26, _u15, _u16) | ~rp(_u26, _u19) | ca_Vx4(_u19) )).
% 12.99/13.20  cnf(matrix-26, plain, ( _def3(_u26) | rp(_u26, skolem7(_u26)) )).
% 12.99/13.20  cnf(matrix-27, plain, ( _def3(_u26) | ~ca_Vx3(skolem7(_u26)) )).
% 12.99/13.20  cnf(matrix-28, plain, ( _def4(_u26) | rp(_u26, skolem8(_u26)) )).
% 12.99/13.20  cnf(matrix-29, plain, ( _def4(_u26) | ~ca_Vx5(skolem8(_u26)) )).
% 12.99/13.20  cnf(matrix-30, plain, ( _def5(_u26) | rr(_u26, skolem9(_u26)) )).
% 12.99/13.20  cnf(matrix-31, plain, ( _def5(_u26) | ~cc(skolem9(_u26)) )).
% 12.99/13.20  cnf(matrix-32, plain, ( _def6(_u26) | rp(_u26, skolem10(_u26)) )).
% 12.99/13.20  cnf(matrix-33, plain, ( _def6(_u26) | ~ca_Vx4(skolem10(_u26)) )).
% 12.99/13.20  cnf(matrix-34, plain, ( ~ca_Vx3(_u29) | ~_def7(_u29) )).
% 12.99/13.20  cnf(matrix-35, plain, ( ~rr(_u29, _u28) | ~cowlThing(_u28) | ca_Vx3(_u29) )).
% 12.99/13.20  cnf(matrix-36, plain, ( _def7(_u29) | rr(_u29, skolem11(_u29)) )).
% 12.99/13.20  cnf(matrix-37, plain, ( _def7(_u29) | cowlThing(skolem11(_u29)) )).
% 12.99/13.20  cnf(matrix-38, plain, ( ~ca_Vx4(_u32) | ~_def8(_u32) )).
% 12.99/13.20  cnf(matrix-39, plain, ( ~rp(_u32, _u31) | ~cowlThing(_u31) | ca_Vx4(_u32) )).
% 12.99/13.20  cnf(matrix-40, plain, ( _def8(_u32) | rp(_u32, skolem12(_u32)) )).
% 12.99/13.20  cnf(matrix-41, plain, ( _def8(_u32) | cowlThing(skolem12(_u32)) )).
% 12.99/13.20  cnf(matrix-42, plain, ( ~ca_Vx5(_u35) | ~rr(_u35, _u33) | cc(_u33) )).
% 12.99/13.20  cnf(matrix-43, plain, ( ~_def9(_u35) | ca_Vx5(_u35) )).
% 12.99/13.20  cnf(matrix-44, plain, ( _def9(_u35) | rr(_u35, skolem13(_u35)) )).
% 12.99/13.20  cnf(matrix-45, plain, ( _def9(_u35) | ~cc(skolem13(_u35)) )).
% 12.99/13.20  cnf(matrix-46, plain, ( ~ca_Vx6(_u38) | ~rinvS(_u38, _u36) | caxcomp(_u36) )).
% 12.99/13.20  cnf(matrix-47, plain, ( ~_def10(_u38) | ca_Vx6(_u38) )).
% 12.99/13.20  cnf(matrix-48, plain, ( _def10(_u38) | rinvS(_u38, skolem14(_u38)) )).
% 12.99/13.20  cnf(matrix-49, plain, ( _def10(_u38) | ~caxcomp(skolem14(_u38)) )).
% 12.99/13.20  cnf(matrix-50, plain, ( ~ca_Vx7(_u41) | ~rinvP(_u41, _u39) | ca_Vx6(_u39) )).
% 12.99/13.20  cnf(matrix-51, plain, ( ~_def11(_u41) | ca_Vx7(_u41) )).
% 12.99/13.20  cnf(matrix-52, plain, ( _def11(_u41) | rinvP(_u41, skolem15(_u41)) )).
% 12.99/13.20  cnf(matrix-53, plain, ( _def11(_u41) | ~ca_Vx6(skolem15(_u41)) )).
% 12.99/13.20  cnf(matrix-54, plain, ( ~rinvP(_u43, _u42) | rp(_u42, _u43) )).
% 12.99/13.20  cnf(matrix-55, plain, ( ~rp(_u42, _u43) | rinvP(_u43, _u42) )).
% 12.99/13.20  cnf(matrix-56, plain, ( ~rinvR(_u45, _u44) | rr(_u44, _u45) )).
% 12.99/13.20  cnf(matrix-57, plain, ( ~rr(_u44, _u45) | rinvR(_u45, _u44) )).
% 12.99/13.20  cnf(matrix-58, plain, ( ~rinvS(_u47, _u46) | rs(_u46, _u47) )).
% 12.99/13.20  cnf(matrix-59, plain, ( ~rs(_u46, _u47) | rinvS(_u47, _u46) )).
% 12.99/13.20  cnf(matrix-60, plain, ( ~rp(_u50, _u49) | ~rp(_u49, _u48) | rp(_u50, _u48) )).
% 12.99/13.20  cnf(matrix-61, plain, ( cUnsatisfiable(i2003_11_14_17_21_33997) )).
% 12.99/13.20  
% 12.99/13.20  % Proof stack:
% 12.99/13.20  cnf(proof-stack, plain, 
% 12.99/13.20  proof_stack(
% 12.99/13.20  start(16), 
% 12.99/13.20  left_branch(0, 7, 1, 2), 
% 12.99/13.20  left_branch(0, 5, 1, 3), 
% 12.99/13.20  left_branch(0, 61, 0, 4), 
% 12.99/13.20  right_branch(4), 
% 12.99/13.20  right_branch(3), 
% 12.99/13.20  right_branch(2), 
% 12.99/13.20  left_branch(0, 23, 0, 3), 
% 12.99/13.20  left_branch(0, 55, 0, 4), 
% 12.99/13.20  left_branch(0, 50, 1, 5), 
% 12.99/13.20  left_branch(0, 12, 2, 6), 
% 12.99/13.20  left_branch(0, 42, 2, 7), 
% 12.99/13.20  left_branch(0, 43, 1, 8), 
% 12.99/13.20  left_branch(0, 45, 0, 9), 
% 12.99/13.20  left_branch(0, 42, 2, 10), 
% 12.99/13.20  left_branch(0, 19, 2, 11), 
% 12.99/13.20  reduction(0, 0), 
% 12.99/13.20  reduction(0, 1), 
% 12.99/13.20  right_branch(11), 
% 12.99/13.20  left_branch(0, 44, 1, 12), 
% 12.99/13.20  reduction(0, 6), 
% 12.99/13.20  right_branch(12), 
% 12.99/13.20  right_branch(10), 
% 12.99/13.20  right_branch(9), 
% 12.99/13.20  right_branch(8), 
% 12.99/13.20  left_branch(0, 36, 1, 9), 
% 12.99/13.20  left_branch(0, 34, 1, 10), 
% 12.99/13.20  left_branch(0, 18, 2, 11), 
% 12.99/13.20  reduction(0, 0), 
% 12.99/13.20  reduction(0, 1), 
% 12.99/13.20  right_branch(11), 
% 12.99/13.20  right_branch(10), 
% 12.99/13.20  right_branch(9), 
% 12.99/13.20  right_branch(7), 
% 12.99/13.20  left_branch(0, 57, 1, 8), 
% 12.99/13.20  left_branch(0, 36, 1, 9), 
% 12.99/13.20  left_branch(0, 34, 1, 10), 
% 12.99/13.20  left_branch(0, 18, 2, 11), 
% 12.99/13.20  reduction(0, 0), 
% 12.99/13.20  reduction(0, 1), 
% 12.99/13.20  right_branch(11), 
% 12.99/13.20  right_branch(10), 
% 12.99/13.20  right_branch(9), 
% 12.99/13.20  right_branch(8), 
% 12.99/13.20  right_branch(6), 
% 12.99/13.20  left_branch(0, 46, 0, 7), 
% 12.99/13.20  left_branch(0, 10, 0, 8), 
% 12.99/13.20  left_branch(0, 8, 1, 9), 
% 12.99/13.20  left_branch(0, 4, 1, 10), 
% 12.99/13.20  left_branch(0, 61, 0, 11), 
% 12.99/13.20  right_branch(11), 
% 12.99/13.20  right_branch(10), 
% 12.99/13.20  right_branch(9), 
% 12.99/13.20  right_branch(8), 
% 12.99/13.20  left_branch(0, 59, 1, 9), 
% 12.99/13.20  left_branch(0, 6, 1, 10), 
% 12.99/13.20  left_branch(0, 5, 1, 11), 
% 12.99/13.20  left_branch(0, 61, 0, 12), 
% 12.99/13.20  right_branch(12), 
% 12.99/13.20  right_branch(11), 
% 12.99/13.20  right_branch(10), 
% 12.99/13.20  right_branch(9), 
% 12.99/13.20  right_branch(7), 
% 12.99/13.20  right_branch(5), 
% 12.99/13.20  right_branch(4), 
% 12.99/13.20  right_branch(3)
% 12.99/13.20  )).
% 12.99/13.20  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------