TSTP Solution File: KRS113+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS113+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 : n016.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 14:18:05 EDT 2024

% Result   : Unsatisfiable 17.00s 17.23s
% Output   : Proof 17.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS113+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n016.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 03:02:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 17.00/17.23  % SZS status Unsatisfiable for theBenchmark
% 17.00/17.23  % SZS output start Proof for theBenchmark
% 17.00/17.23  
% 17.00/17.23  % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: ca_Vx2_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(ca_Vx2_substitution_1-1, axiom, ( ( _u3 != _u2) | ~ca_Vx2(_u3) | ca_Vx2(_u2) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(cowlNothing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlNothing(_u5) | cowlNothing(_u4) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(cowlThing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlThing(_u7) | cowlThing(_u6) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: cp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(cp_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cp(_u9) | cp(_u8) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: cpxcomp_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(cpxcomp_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cpxcomp(_u11) | cpxcomp(_u10) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: ra_Px1_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(ra_Px1_substitution_1-1, axiom, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: ra_Px1_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(ra_Px1_substitution_2-1, axiom, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rinvS_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rinvS_substitution_1-1, axiom, ( ( _u20 != _u19) | ~rinvS(_u20, _u18) | rinvS(_u19, _u18) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rinvS_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rinvS_substitution_2-1, axiom, ( ( _u23 != _u22) | ~rinvS(_u21, _u23) | rinvS(_u21, _u22) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rr_substitution_1-1, axiom, ( ( _u26 != _u25) | ~rr(_u26, _u24) | rr(_u25, _u24) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rr_substitution_2-1, axiom, ( ( _u29 != _u28) | ~rr(_u27, _u29) | rr(_u27, _u28) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rs_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rs_substitution_1-1, axiom, ( ( _u32 != _u31) | ~rs(_u32, _u30) | rs(_u31, _u30) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: rs_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(rs_substitution_2-1, axiom, ( ( _u35 != _u34) | ~rs(_u33, _u35) | rs(_u33, _u34) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(xsd_integer_substitution_1-1, axiom, ( ( _u37 != _u36) | ~xsd_integer(_u37) | xsd_integer(_u36) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(xsd_string_substitution_1-1, axiom, ( ( _u39 != _u38) | ~xsd_string(_u39) | xsd_string(_u38) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_0-1, axiom, ( cowlThing(_u40) )).
% 17.00/17.23  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u40) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_1-1, axiom, ( ~xsd_string(_u41) | ~xsd_integer(_u41) )).
% 17.00/17.23  cnf(axiom_1-2, axiom, ( xsd_integer(_u41) | xsd_string(_u41) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u50) | ~_def0(_u43, _u42, _u50) )).
% 17.00/17.23  cnf(axiom_2-2, axiom, ( ~_def1(_u50) | ~rr(_u50, _u48) | ~ca_Vx2(_u48) | ~rs(_u50, _u49) | ~cp(_u49) | ~cpxcomp(_u50) | cUnsatisfiable(_u50) )).
% 17.00/17.23  cnf(axiom_2-3, axiom, ( _def0(_u43, _u42, _u50) | ~rr(_u50, _u43) | ~rr(_u50, _u42) | ( _u43 = _u42) )).
% 17.00/17.23  cnf(axiom_2-4, axiom, ( _def0(_u43, _u42, _u50) | rr(_u50, skolem1(_u50)) )).
% 17.00/17.23  cnf(axiom_2-5, axiom, ( _def0(_u43, _u42, _u50) | ca_Vx2(skolem1(_u50)) )).
% 17.00/17.23  cnf(axiom_2-6, axiom, ( _def0(_u43, _u42, _u50) | rs(_u50, skolem2(_u50)) )).
% 17.00/17.23  cnf(axiom_2-7, axiom, ( _def0(_u43, _u42, _u50) | cp(skolem2(_u50)) )).
% 17.00/17.23  cnf(axiom_2-8, axiom, ( _def0(_u43, _u42, _u50) | cpxcomp(_u50) )).
% 17.00/17.23  cnf(axiom_2-9, axiom, ( _def1(_u50) | rr(_u50, skolem3(_u50)) )).
% 17.00/17.23  cnf(axiom_2-10, axiom, ( _def1(_u50) | rr(_u50, skolem4(_u50)) )).
% 17.00/17.23  cnf(axiom_2-11, axiom, ( _def1(_u50) | ( skolem3(_u50) != skolem4(_u50)) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_3-1, axiom, ( ~cp(_u53) | ~ra_Px1(_u53, _u51) )).
% 17.00/17.23  cnf(axiom_3-2, axiom, ( ra_Px1(_u53, skolem5(_u53)) | cp(_u53) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_4-1, axiom, ( ~cpxcomp(_u56) | ra_Px1(_u56, skolem6(_u56)) )).
% 17.00/17.23  cnf(axiom_4-2, axiom, ( ~ra_Px1(_u56, _u55) | cpxcomp(_u56) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_5-1, axiom, ( ~ca_Vx2(_u59) | ~rinvS(_u59, _u57) | cp(_u57) )).
% 17.00/17.23  cnf(axiom_5-2, axiom, ( ~_def2(_u59) | ca_Vx2(_u59) )).
% 17.00/17.23  cnf(axiom_5-3, axiom, ( _def2(_u59) | rinvS(_u59, skolem7(_u59)) )).
% 17.00/17.23  cnf(axiom_5-4, axiom, ( _def2(_u59) | ~cp(skolem7(_u59)) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_6-1, axiom, ( ~rinvS(_u61, _u60) | rs(_u60, _u61) )).
% 17.00/17.23  cnf(axiom_6-2, axiom, ( ~rs(_u60, _u61) | rinvS(_u61, _u60) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_7-1, axiom, ( cUnsatisfiable(i2003_11_14_17_21_22376) )).
% 17.00/17.23  
% 17.00/17.23  % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 17.00/17.23  cnf(axiom_8-1, axiom, ( ~rs(_u63, _u62) | rr(_u63, _u62) )).
% 17.00/17.23  
% 17.00/17.23  % Problem matrix:
% 17.00/17.23  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 17.00/17.23  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 17.00/17.23  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 17.00/17.23  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 17.00/17.23  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 17.00/17.23  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~ca_Vx2(__eqx_0) | ca_Vx2(__eqy_0) )).
% 17.00/17.23  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 17.00/17.23  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 17.00/17.23  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cp(__eqx_0) | cp(__eqy_0) )).
% 17.00/17.23  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~cpxcomp(__eqx_0) | cpxcomp(__eqy_0) )).
% 17.00/17.23  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ra_Px1(__eqx_0, __eqx_1) | ra_Px1(__eqy_0, __eqy_1) )).
% 17.00/17.23  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rinvS(__eqx_0, __eqx_1) | rinvS(__eqy_0, __eqy_1) )).
% 17.00/17.23  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 17.00/17.23  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rs(__eqx_0, __eqx_1) | rs(__eqy_0, __eqy_1) )).
% 17.00/17.23  cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 17.00/17.23  cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 17.00/17.23  cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def0(__eqx_0, __eqx_1, __eqx_2) | _def0(__eqy_0, __eqy_1, __eqy_2) )).
% 17.00/17.23  cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 17.00/17.23  cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 17.00/17.23  cnf(matrix-25, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 17.00/17.23  cnf(matrix-26, plain, ( ( _u3 != _u2) | ~ca_Vx2(_u3) | ca_Vx2(_u2) )).
% 17.00/17.23  cnf(matrix-27, plain, ( ( _u5 != _u4) | ~cowlNothing(_u5) | cowlNothing(_u4) )).
% 17.00/17.23  cnf(matrix-28, plain, ( ( _u7 != _u6) | ~cowlThing(_u7) | cowlThing(_u6) )).
% 17.00/17.23  cnf(matrix-29, plain, ( ( _u9 != _u8) | ~cp(_u9) | cp(_u8) )).
% 17.00/17.23  cnf(matrix-30, plain, ( ( _u11 != _u10) | ~cpxcomp(_u11) | cpxcomp(_u10) )).
% 17.00/17.23  cnf(matrix-31, plain, ( ( _u14 != _u13) | ~ra_Px1(_u14, _u12) | ra_Px1(_u13, _u12) )).
% 17.00/17.23  cnf(matrix-32, plain, ( ( _u17 != _u16) | ~ra_Px1(_u15, _u17) | ra_Px1(_u15, _u16) )).
% 17.00/17.23  cnf(matrix-33, plain, ( ( _u20 != _u19) | ~rinvS(_u20, _u18) | rinvS(_u19, _u18) )).
% 17.00/17.23  cnf(matrix-34, plain, ( ( _u23 != _u22) | ~rinvS(_u21, _u23) | rinvS(_u21, _u22) )).
% 17.00/17.23  cnf(matrix-35, plain, ( ( _u26 != _u25) | ~rr(_u26, _u24) | rr(_u25, _u24) )).
% 17.00/17.23  cnf(matrix-36, plain, ( ( _u29 != _u28) | ~rr(_u27, _u29) | rr(_u27, _u28) )).
% 17.00/17.23  cnf(matrix-37, plain, ( ( _u32 != _u31) | ~rs(_u32, _u30) | rs(_u31, _u30) )).
% 17.00/17.23  cnf(matrix-38, plain, ( ( _u35 != _u34) | ~rs(_u33, _u35) | rs(_u33, _u34) )).
% 17.00/17.23  cnf(matrix-39, plain, ( ( _u37 != _u36) | ~xsd_integer(_u37) | xsd_integer(_u36) )).
% 17.00/17.23  cnf(matrix-40, plain, ( ( _u39 != _u38) | ~xsd_string(_u39) | xsd_string(_u38) )).
% 17.00/17.23  cnf(matrix-41, plain, ( cowlThing(_u40) )).
% 17.00/17.23  cnf(matrix-42, plain, ( ~cowlNothing(_u40) )).
% 17.00/17.23  cnf(matrix-43, plain, ( ~xsd_string(_u41) | ~xsd_integer(_u41) )).
% 17.00/17.23  cnf(matrix-44, plain, ( xsd_integer(_u41) | xsd_string(_u41) )).
% 17.00/17.23  cnf(matrix-45, plain, ( ~cUnsatisfiable(_u50) | ~_def0(_u43, _u42, _u50) )).
% 17.00/17.23  cnf(matrix-46, plain, ( ~_def1(_u50) | ~rr(_u50, _u48) | ~ca_Vx2(_u48) | ~rs(_u50, _u49) | ~cp(_u49) | ~cpxcomp(_u50) | cUnsatisfiable(_u50) )).
% 17.00/17.23  cnf(matrix-47, plain, ( _def0(_u43, _u42, _u50) | ~rr(_u50, _u43) | ~rr(_u50, _u42) | ( _u43 = _u42) )).
% 17.00/17.23  cnf(matrix-48, plain, ( _def0(_u43, _u42, _u50) | rr(_u50, skolem1(_u50)) )).
% 17.00/17.23  cnf(matrix-49, plain, ( _def0(_u43, _u42, _u50) | ca_Vx2(skolem1(_u50)) )).
% 17.00/17.23  cnf(matrix-50, plain, ( _def0(_u43, _u42, _u50) | rs(_u50, skolem2(_u50)) )).
% 17.00/17.23  cnf(matrix-51, plain, ( _def0(_u43, _u42, _u50) | cp(skolem2(_u50)) )).
% 17.00/17.23  cnf(matrix-52, plain, ( _def0(_u43, _u42, _u50) | cpxcomp(_u50) )).
% 17.00/17.23  cnf(matrix-53, plain, ( _def1(_u50) | rr(_u50, skolem3(_u50)) )).
% 17.00/17.23  cnf(matrix-54, plain, ( _def1(_u50) | rr(_u50, skolem4(_u50)) )).
% 17.00/17.23  cnf(matrix-55, plain, ( _def1(_u50) | ( skolem3(_u50) != skolem4(_u50)) )).
% 17.00/17.23  cnf(matrix-56, plain, ( ~cp(_u53) | ~ra_Px1(_u53, _u51) )).
% 17.00/17.23  cnf(matrix-57, plain, ( ra_Px1(_u53, skolem5(_u53)) | cp(_u53) )).
% 17.00/17.23  cnf(matrix-58, plain, ( ~cpxcomp(_u56) | ra_Px1(_u56, skolem6(_u56)) )).
% 17.00/17.23  cnf(matrix-59, plain, ( ~ra_Px1(_u56, _u55) | cpxcomp(_u56) )).
% 17.00/17.23  cnf(matrix-60, plain, ( ~ca_Vx2(_u59) | ~rinvS(_u59, _u57) | cp(_u57) )).
% 17.00/17.23  cnf(matrix-61, plain, ( ~_def2(_u59) | ca_Vx2(_u59) )).
% 17.00/17.23  cnf(matrix-62, plain, ( _def2(_u59) | rinvS(_u59, skolem7(_u59)) )).
% 17.00/17.23  cnf(matrix-63, plain, ( _def2(_u59) | ~cp(skolem7(_u59)) )).
% 17.00/17.23  cnf(matrix-64, plain, ( ~rinvS(_u61, _u60) | rs(_u60, _u61) )).
% 17.00/17.23  cnf(matrix-65, plain, ( ~rs(_u60, _u61) | rinvS(_u61, _u60) )).
% 17.00/17.23  cnf(matrix-66, plain, ( cUnsatisfiable(i2003_11_14_17_21_22376) )).
% 17.00/17.23  cnf(matrix-67, plain, ( ~rs(_u63, _u62) | rr(_u63, _u62) )).
% 17.00/17.23  
% 17.00/17.23  % Proof stack:
% 17.00/17.23  cnf(proof-stack, plain, 
% 17.00/17.23  proof_stack(
% 17.00/17.23  start(45), 
% 17.00/17.23  left_branch(0, 66, 0, 2), 
% 17.00/17.23  right_branch(2), 
% 17.00/17.23  left_branch(0, 49, 0, 3), 
% 17.00/17.23  left_branch(0, 60, 0, 4), 
% 17.00/17.23  left_branch(0, 56, 0, 5), 
% 17.00/17.23  left_branch(0, 58, 1, 6), 
% 17.00/17.23  left_branch(0, 52, 1, 7), 
% 17.00/17.23  reduction(0, 0), 
% 17.00/17.23  right_branch(7), 
% 17.00/17.23  right_branch(6), 
% 17.00/17.23  right_branch(5), 
% 17.00/17.23  left_branch(0, 65, 1, 6), 
% 17.00/17.23  left_branch(0, 19, 3, 7), 
% 17.00/17.23  left_branch(0, 1, 1, 8), 
% 17.00/17.23  left_branch(0, 0, 0, 9), 
% 17.00/17.23  right_branch(9), 
% 17.00/17.23  right_branch(8), 
% 17.00/17.23  left_branch(0, 50, 1, 9), 
% 17.00/17.23  reduction(0, 0), 
% 17.00/17.23  right_branch(9), 
% 17.00/17.23  left_branch(0, 47, 3, 10), 
% 17.00/17.23  reduction(0, 0), 
% 17.00/17.23  left_branch(0, 48, 1, 12), 
% 17.00/17.23  reduction(0, 0), 
% 17.00/17.23  right_branch(12), 
% 17.00/17.23  left_branch(0, 67, 1, 13), 
% 17.00/17.23  lemmata(0, 3), 
% 17.00/17.23  right_branch(13), 
% 17.00/17.23  right_branch(10), 
% 17.00/17.23  right_branch(7), 
% 17.00/17.23  right_branch(6), 
% 17.00/17.23  right_branch(4), 
% 17.00/17.23  right_branch(3)
% 17.00/17.23  )).
% 17.00/17.23  % SZS output end Proof for theBenchmark
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