%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC008-1.002 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 : Tue May 5 04:48:55 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.77s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 5 unt; 16 nHn; 17 RR)
% Number of literals : 87 ( 0 equ; 35 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 94 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(no_two_same1,negated_conjecture,
( eq(X2,X6)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same1) ).
cnf(greek_row_required,axiom,
( greek(p_1,X1,X2)
| greek(p_2,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
cnf(greek_row_is_unique,axiom,
( eq(X1,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
cnf(greek_column_required,axiom,
( greek(X1,p_1,X2)
| greek(X1,p_2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
cnf(latin_row_is_unique,axiom,
( eq(X1,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
cnf(latin_column_required,axiom,
( latin(X1,p_1,X2)
| latin(X1,p_2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
cnf(p_1_is_not_p_2,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
cnf(latin_element_is_unique,axiom,
( eq(X3,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
cnf(greek_element_is_unique,axiom,
( eq(X3,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
cnf(symmetry,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
cnf(c_0_10,negated_conjecture,
( eq(X2,X6)
| ~ greek(X1,X2,X3)
| ~ latin(X1,X2,X4)
| ~ greek(X5,X6,X3)
| ~ latin(X5,X6,X4) ),
no_two_same1 ).
cnf(c_0_11,axiom,
( greek(p_1,X1,X2)
| greek(p_2,X1,X2) ),
greek_row_required ).
cnf(c_0_12,axiom,
( eq(X1,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X4,X2,X3) ),
greek_row_is_unique ).
cnf(c_0_13,axiom,
( greek(X1,p_1,X2)
| greek(X1,p_2,X2) ),
greek_column_required ).
cnf(c_0_14,axiom,
( eq(X1,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X4,X2,X3) ),
latin_row_is_unique ).
cnf(c_0_15,axiom,
( latin(X1,p_1,X2)
| latin(X1,p_2,X2) ),
latin_column_required ).
cnf(c_0_16,negated_conjecture,
( greek(p_1,X1,X2)
| eq(X3,X1)
| ~ greek(X4,X3,X2)
| ~ latin(p_2,X1,X5)
| ~ latin(X4,X3,X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( greek(X1,p_1,X2)
| eq(X3,X1)
| ~ greek(X3,p_2,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( latin(X1,p_1,X2)
| eq(X3,X1)
| ~ latin(X3,p_2,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( greek(p_1,p_2,X1)
| latin(p_2,p_1,X2)
| eq(X3,p_2)
| ~ greek(X4,X3,X1)
| ~ latin(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,plain,
( greek(p_1,p_2,X1)
| greek(X2,p_1,X1)
| eq(p_2,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_21,axiom,
~ eq(p_1,p_2),
p_1_is_not_p_2 ).
cnf(c_0_22,plain,
( latin(X1,p_1,X2)
| latin(X3,p_1,X2)
| eq(X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,axiom,
( eq(X3,X4)
| ~ latin(X1,X2,X3)
| ~ latin(X1,X2,X4) ),
latin_element_is_unique ).
cnf(c_0_24,negated_conjecture,
( greek(p_1,p_2,X1)
| latin(p_2,p_1,X2)
| eq(p_2,X3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( greek(p_1,p_2,X1)
| eq(p_2,X2)
| eq(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).
cnf(c_0_26,axiom,
( eq(X3,X4)
| ~ greek(X1,X2,X3)
| ~ greek(X1,X2,X4) ),
greek_element_is_unique ).
cnf(c_0_27,negated_conjecture,
( greek(p_1,p_2,X1)
| eq(p_2,X2) ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( eq(p_2,X1)
| eq(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_27]) ).
cnf(c_0_29,axiom,
( eq(X2,X1)
| ~ eq(X1,X2) ),
symmetry ).
cnf(c_0_30,negated_conjecture,
eq(p_2,X1),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
eq(X1,p_2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MSC008-1.002 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n009.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 23:33:56 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.45/1.77 % Version : CSE_E---1.7
% 1.45/1.77 % Problem : theBenchmark.p
% 1.45/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.77 % SZS output start CNFRefutation
% See solution above
% 1.45/1.77 % Total time : 1.370s
%------------------------------------------------------------------------------