%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:50:55 AM UTC 2026
% Result : Unsatisfiable 1.33s 6.61s
% Output : Proof 1.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(p_1_is_not_p_2,axiom,
~ eq(p_1,p_2),
file('theBenchmark.p',p_1_is_not_p_2) ).
cnf(reflexivity,axiom,
eq(X,X),
file('theBenchmark.p',reflexivity) ).
cnf(symmetry,axiom,
( eq(Y,X)
| ~ eq(X,Y) ),
file('theBenchmark.p',symmetry) ).
cnf(latin_element_is_unique,axiom,
( eq(Label1,Label2)
| ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ),
file('theBenchmark.p',latin_element_is_unique) ).
cnf(latin_column_is_unique,axiom,
( eq(Column1,Column2)
| ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ),
file('theBenchmark.p',latin_column_is_unique) ).
cnf(latin_row_is_unique,axiom,
( eq(Row1,Row2)
| ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ),
file('theBenchmark.p',latin_row_is_unique) ).
cnf(greek_element_is_unique,axiom,
( eq(Label1,Label2)
| ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ),
file('theBenchmark.p',greek_element_is_unique) ).
cnf(greek_column_is_unique,axiom,
( eq(Column1,Column2)
| ~ greek(Row,Column2,Label)
| ~ greek(Row,Column1,Label) ),
file('theBenchmark.p',greek_column_is_unique) ).
cnf(greek_row_is_unique,axiom,
( eq(Row1,Row2)
| ~ greek(Row2,Column,Label)
| ~ greek(Row1,Column,Label) ),
file('theBenchmark.p',greek_row_is_unique) ).
cnf(latin_cell_element,axiom,
( latin(Row,Column,p_2)
| latin(Row,Column,p_1) ),
file('theBenchmark.p',latin_cell_element) ).
cnf(latin_column_required,axiom,
( latin(Row,p_2,Label)
| latin(Row,p_1,Label) ),
file('theBenchmark.p',latin_column_required) ).
cnf(latin_row_required,axiom,
( latin(p_2,Column,Label)
| latin(p_1,Column,Label) ),
file('theBenchmark.p',latin_row_required) ).
cnf(greek_cell_element,axiom,
( greek(Row,Column,p_2)
| greek(Row,Column,p_1) ),
file('theBenchmark.p',greek_cell_element) ).
cnf(greek_column_required,axiom,
( greek(Row,p_2,Label)
| greek(Row,p_1,Label) ),
file('theBenchmark.p',greek_column_required) ).
cnf(greek_row_required,axiom,
( greek(p_2,Column,Label)
| greek(p_1,Column,Label) ),
file('theBenchmark.p',greek_row_required) ).
cnf(no_two_same1,negated_conjecture,
( eq(Column1,Column2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
file('theBenchmark.p',no_two_same1) ).
cnf(no_two_same2,negated_conjecture,
( eq(Row1,Row2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
file('theBenchmark.p',no_two_same2) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n017.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 19 16:17:31 UTC 2026
% 0.09/5.39 % CPUTime :
% 1.33/6.61 % SZS status Unsatisfiable for theBenchmark
% 1.33/6.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------