%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.13s 5.52s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(p1_is_not_p2,axiom,
~ eq(p1,p2),
file('theBenchmark.p',p1_is_not_p2) ).
cnf(reflexivity,axiom,
eq(A,A),
file('theBenchmark.p',reflexivity) ).
cnf(symmetry,axiom,
( eq(B,A)
| ~ eq(A,B) ),
file('theBenchmark.p',symmetry) ).
cnf(latin_element_is_unique,axiom,
( eq(D,C)
| ~ latin(A,B,D)
| ~ latin(A,B,C) ),
file('theBenchmark.p',latin_element_is_unique) ).
cnf(latin_column_is_unique,axiom,
( eq(D,B)
| ~ latin(A,D,C)
| ~ latin(A,B,C) ),
file('theBenchmark.p',latin_column_is_unique) ).
cnf(latin_row_is_unique,axiom,
( eq(D,A)
| ~ latin(D,B,C)
| ~ latin(A,B,C) ),
file('theBenchmark.p',latin_row_is_unique) ).
cnf(greek_element_is_unique,axiom,
( eq(D,C)
| ~ greek(A,B,D)
| ~ greek(A,B,C) ),
file('theBenchmark.p',greek_element_is_unique) ).
cnf(greek_column_is_unique,axiom,
( eq(D,B)
| ~ greek(A,D,C)
| ~ greek(A,B,C) ),
file('theBenchmark.p',greek_column_is_unique) ).
cnf(greek_row_is_unique,axiom,
( eq(D,A)
| ~ greek(D,B,C)
| ~ greek(A,B,C) ),
file('theBenchmark.p',greek_row_is_unique) ).
cnf(latin_cell_element,axiom,
( latin(E,F,p2)
| latin(E,F,p1) ),
file('theBenchmark.p',latin_cell_element) ).
cnf(latin_column_required,axiom,
( latin(G,p2,H)
| latin(G,p1,H) ),
file('theBenchmark.p',latin_column_required) ).
cnf(latin_row_required,axiom,
( latin(p2,I,J)
| latin(p1,I,J) ),
file('theBenchmark.p',latin_row_required) ).
cnf(greek_cell_element,axiom,
( greek(K,L,p2)
| greek(K,L,p1) ),
file('theBenchmark.p',greek_cell_element) ).
cnf(greek_column_required,axiom,
( greek(M,p2,N)
| greek(M,p1,N) ),
file('theBenchmark.p',greek_column_required) ).
cnf(greek_row_required,axiom,
( greek(p2,O,P)
| greek(p1,O,P) ),
file('theBenchmark.p',greek_row_required) ).
cnf(no_two_same,negated_conjecture,
( eq(E,A)
| eq(F,B)
| ~ latin(E,F,D)
| ~ greek(E,F,C)
| ~ latin(A,B,D)
| ~ greek(A,B,C) ),
file('theBenchmark.p',no_two_same) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-2.002 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 19 16:20:10 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.52 % SZS status Unsatisfiable for theBenchmark
% 0.13/5.52 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------