%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 : Fri Sep 25 02:13:26 PM UTC 2026
% Result : Unsatisfiable 8.19s 6.98s
% Output : Proof 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 16
% Syntax : Number of formulae : 116 ( 6 unt; 0 def)
% Number of atoms : 348 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 355 ( 123 ~; 232 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 263 ( 10 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f12,axiom,
( greek(Row,Column,p_2)
| greek(Row,Column,p_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f12_nnf,plain,
! [Row,Column] :
( greek(Row,Column,p_2)
| greek(Row,Column,p_1) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [Row,Column] :
( greek(Row,Column,p_2)
| greek(Row,Column,p_1) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( greek(X0,X1,p_2)
| greek(X0,X1,p_1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f15,negated_conjecture,
( eq(Column1,Column2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same1) ).
fof(f15_nnf,plain,
! [Row1,Column1,Label1,Label2,Row2,Column2] :
( eq(Column1,Column2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [Row1,Column1,Label1,Label2,Row2,Column2] :
( eq(Column1,Column2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( eq(X1,X5)
| ~ latin(X4,X5,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p17,plain,
( eq(X1,X4)
| ~ latin(X3,X4,X2)
| ~ greek(X3,X4,p_2)
| ~ latin(X0,X1,X2)
| greek(X0,X1,p_1) ),
inference(resolution,[status(thm)],[c12,c15]) ).
cnf(f11,axiom,
( latin(p_2,Column,Label)
| latin(p_1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
fof(f11_nnf,plain,
! [Column,Label] :
( latin(p_2,Column,Label)
| latin(p_1,Column,Label) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [Column,Label] :
( latin(p_2,Column,Label)
| latin(p_1,Column,Label) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( latin(p_2,X0,X1)
| latin(p_1,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p24,plain,
( latin(p_1,X0,X3)
| eq(X0,X2)
| ~ latin(X1,X2,X3)
| ~ greek(X1,X2,p_2)
| greek(p_2,X0,p_1) ),
inference(resolution,[status(thm)],[p17,c11]) ).
cnf(p33,plain,
( greek(X1,X2,p_1)
| latin(p_1,X0,X3)
| eq(X0,X2)
| ~ latin(X1,X2,X3)
| greek(p_2,X0,p_1) ),
inference(resolution,[status(thm)],[p24,c12]) ).
cnf(f10,axiom,
( latin(Row,p_2,Label)
| latin(Row,p_1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
fof(f10_nnf,plain,
! [Row,Label] :
( latin(Row,p_2,Label)
| latin(Row,p_1,Label) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Row,Label] :
( latin(Row,p_2,Label)
| latin(Row,p_1,Label) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( latin(X0,p_2,X1)
| latin(X0,p_1,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p46,plain,
( latin(X2,p_1,X1)
| greek(X2,p_2,p_1)
| latin(p_1,X0,X1)
| eq(X0,p_2)
| greek(p_2,X0,p_1) ),
inference(resolution,[status(thm)],[p33,c10]) ).
cnf(p535,plain,
( greek(p_1,p_2,p_1)
| latin(p_1,p_1,X0)
| eq(p_1,p_2)
| greek(p_2,p_1,p_1) ),
inference(factoring,[status(thm)],[p46]) ).
cnf(f7,axiom,
( eq(Column1,Column2)
| ~ greek(Row,Column2,Label)
| ~ greek(Row,Column1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
fof(f7_nnf,plain,
! [Row,Column1,Label,Column2] :
( eq(Column1,Column2)
| ~ greek(Row,Column2,Label)
| ~ greek(Row,Column1,Label) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Row,Column1,Label,Column2] :
( eq(Column1,Column2)
| ~ greek(Row,Column2,Label)
| ~ greek(Row,Column1,Label) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( eq(X1,X3)
| ~ greek(X0,X3,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p586,plain,
( eq(p_1,X1)
| ~ greek(p_2,X1,p_1)
| greek(p_1,p_2,p_1)
| latin(p_1,p_1,X0)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p535,c7]) ).
cnf(p1202,plain,
( ~ greek(p_2,p_2,p_1)
| greek(p_1,p_2,p_1)
| latin(p_1,p_1,X0)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p586]) ).
cnf(f14,axiom,
( greek(p_2,Column,Label)
| greek(p_1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
fof(f14_nnf,plain,
! [Column,Label] :
( greek(p_2,Column,Label)
| greek(p_1,Column,Label) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [Column,Label] :
( greek(p_2,Column,Label)
| greek(p_1,Column,Label) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( greek(p_2,X0,X1)
| greek(p_1,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p1225,plain,
( greek(p_1,p_2,p_1)
| greek(p_1,p_2,p_1)
| latin(p_1,p_1,X0)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1202,c14]) ).
cnf(p1228,plain,
( greek(p_1,p_2,p_1)
| latin(p_1,p_1,X0)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1225]) ).
cnf(f3,axiom,
( eq(Label1,Label2)
| ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
fof(f3_nnf,plain,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( eq(X2,X3)
| ~ latin(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1240,plain,
( eq(X1,X0)
| ~ latin(p_1,p_1,X0)
| greek(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1228,c3]) ).
cnf(p1256,plain,
( ~ latin(p_1,p_1,p_2)
| greek(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1240]) ).
cnf(p1280,plain,
( greek(p_1,p_2,p_1)
| eq(p_1,p_2)
| greek(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1256,p1228]) ).
cnf(p1430,plain,
( eq(p_1,p_2)
| greek(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1280]) ).
cnf(p1431,plain,
( greek(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1430]) ).
cnf(f16,negated_conjecture,
( eq(Row1,Row2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same2) ).
fof(f16_nnf,plain,
! [Row1,Column1,Label1,Label2,Row2,Column2] :
( eq(Row1,Row2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [Row1,Column1,Label1,Label2,Row2,Column2] :
( eq(Row1,Row2)
| ~ latin(Row2,Column2,Label2)
| ~ greek(Row2,Column2,Label1)
| ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( eq(X0,X4)
| ~ latin(X4,X5,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p1437,plain,
( eq(p_1,X1)
| ~ latin(X1,X2,X0)
| ~ greek(X1,X2,p_1)
| ~ latin(p_1,p_2,X0)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1431,c16]) ).
cnf(p2411,plain,
( ~ latin(p_2,X1,X0)
| ~ greek(p_2,X1,p_1)
| ~ latin(p_1,p_2,X0)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1437]) ).
cnf(f9,axiom,
( latin(Row,Column,p_2)
| latin(Row,Column,p_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
fof(f9_nnf,plain,
! [Row,Column] :
( latin(Row,Column,p_2)
| latin(Row,Column,p_1) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Row,Column] :
( latin(Row,Column,p_2)
| latin(Row,Column,p_1) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( latin(X0,X1,p_2)
| latin(X0,X1,p_1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p2416,plain,
( latin(p_1,p_2,p_1)
| ~ latin(p_2,X0,p_2)
| ~ greek(p_2,X0,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p2411,c9]) ).
cnf(f8,axiom,
( eq(Row1,Row2)
| ~ greek(Row2,Column,Label)
| ~ greek(Row1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
fof(f8_nnf,plain,
! [Row1,Column,Label,Row2] :
( eq(Row1,Row2)
| ~ greek(Row2,Column,Label)
| ~ greek(Row1,Column,Label) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Row1,Column,Label,Row2] :
( eq(Row1,Row2)
| ~ greek(Row2,Column,Label)
| ~ greek(Row1,Column,Label) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( eq(X0,X3)
| ~ greek(X3,X1,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p1440,plain,
( eq(p_1,X0)
| ~ greek(X0,p_2,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1431,c8]) ).
cnf(p1480,plain,
( ~ greek(p_2,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1440]) ).
cnf(f13,axiom,
( greek(Row,p_2,Label)
| greek(Row,p_1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
fof(f13_nnf,plain,
! [Row,Label] :
( greek(Row,p_2,Label)
| greek(Row,p_1,Label) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [Row,Label] :
( greek(Row,p_2,Label)
| greek(Row,p_1,Label) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( greek(X0,p_2,X1)
| greek(X0,p_1,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p1504,plain,
( greek(p_2,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1480,c13]) ).
cnf(p2433,plain,
( eq(p_1,p_2)
| latin(p_1,p_2,p_1)
| ~ latin(p_2,p_1,p_2)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p2416,p1504]) ).
cnf(p2441,plain,
( latin(p_1,p_2,p_1)
| ~ latin(p_2,p_1,p_2)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p2433]) ).
cnf(p2457,plain,
( latin(p_2,p_1,p_1)
| latin(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p2441,c9]) ).
cnf(p22,plain,
( latin(X0,X1,p_1)
| eq(X1,X3)
| ~ latin(X2,X3,p_2)
| ~ greek(X2,X3,p_2)
| greek(X0,X1,p_1) ),
inference(resolution,[status(thm)],[p17,c9]) ).
cnf(p28,plain,
( greek(X2,X3,p_1)
| latin(X0,X1,p_1)
| eq(X1,X3)
| ~ latin(X2,X3,p_2)
| greek(X0,X1,p_1) ),
inference(resolution,[status(thm)],[p22,c12]) ).
cnf(p35,plain,
( latin(X3,X2,p_1)
| greek(X3,X2,p_1)
| latin(X0,X1,p_1)
| eq(X1,X2)
| greek(X0,X1,p_1) ),
inference(resolution,[status(thm)],[p28,c9]) ).
cnf(f0,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
fof(f0_nnf,plain,
~ eq(p_1,p_2),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
~ eq(p_1,p_2),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ eq(p_1,p_2),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p55,plain,
( latin(X1,p_2,p_1)
| greek(X1,p_2,p_1)
| latin(X0,p_1,p_1)
| greek(X0,p_1,p_1) ),
inference(resolution,[status(thm)],[p35,c0]) ).
cnf(p1499,plain,
( latin(p_2,p_2,p_1)
| latin(X0,p_1,p_1)
| greek(X0,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1480,p55]) ).
cnf(p77,plain,
( greek(X0,X2,p_1)
| eq(X2,X1)
| ~ greek(X0,X1,p_2) ),
inference(resolution,[status(thm)],[c7,c12]) ).
cnf(f6,axiom,
( eq(Label1,Label2)
| ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
fof(f6_nnf,plain,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( eq(X2,X3)
| ~ greek(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p1438,plain,
( eq(p_1,X0)
| ~ greek(p_1,p_2,X0)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1431,c6]) ).
cnf(p1441,plain,
( ~ greek(p_1,p_2,p_2)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1438]) ).
cnf(p1443,plain,
( greek(p_1,p_1,p_2)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1441,c13]) ).
cnf(p1568,plain,
( eq(p_1,p_2)
| greek(p_1,X0,p_1)
| eq(X0,p_1) ),
inference(resolution,[status(thm)],[p77,p1443]) ).
cnf(p1598,plain,
( eq(X0,X1)
| ~ greek(p_1,X1,p_1)
| eq(p_1,p_2)
| eq(X0,p_1) ),
inference(resolution,[status(thm)],[p1568,c7]) ).
cnf(p1674,plain,
( ~ greek(p_1,p_1,p_1)
| eq(p_1,p_2)
| eq(X0,p_1) ),
inference(factoring,[status(thm)],[p1598]) ).
cnf(p1731,plain,
( eq(p_1,p_2)
| eq(X0,p_1)
| latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1499,p1674]) ).
cnf(p1789,plain,
( eq(X0,p_1)
| latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1731]) ).
cnf(f2,axiom,
( eq(Y,X)
| ~ eq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f2_nnf,plain,
! [X,Y] :
( eq(Y,X)
| ~ eq(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( eq(Y,X)
| ~ eq(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1801,plain,
( eq(p_1,X0)
| latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1789,c2]) ).
cnf(p1812,plain,
( latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1801]) ).
cnf(f4,axiom,
( eq(Column1,Column2)
| ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
fof(f4_nnf,plain,
! [Row,Column1,Label,Column2] :
( eq(Column1,Column2)
| ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Row,Column1,Label,Column2] :
( eq(Column1,Column2)
| ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( eq(X1,X3)
| ~ latin(X0,X3,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p32,plain,
( latin(p_1,X2,X1)
| eq(X2,X0)
| ~ latin(p_2,X0,X1) ),
inference(resolution,[status(thm)],[c4,c11]) ).
cnf(p1821,plain,
( latin(p_1,X0,p_1)
| eq(X0,p_2)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1812,p32]) ).
cnf(p1856,plain,
( eq(p_1,p_2)
| latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1821]) ).
cnf(p1877,plain,
( latin(p_1,p_1,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1856]) ).
cnf(f5,axiom,
( eq(Row1,Row2)
| ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
fof(f5_nnf,plain,
! [Row1,Column,Label,Row2] :
( eq(Row1,Row2)
| ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Row1,Column,Label,Row2] :
( eq(Row1,Row2)
| ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( eq(X0,X3)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1882,plain,
( eq(p_1,X0)
| ~ latin(X0,p_1,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1877,c5]) ).
cnf(p1893,plain,
( ~ latin(p_2,p_1,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1882]) ).
cnf(p2465,plain,
( eq(p_1,p_2)
| latin(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p2457,p1893]) ).
cnf(p2466,plain,
( latin(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p2465]) ).
cnf(p1881,plain,
( eq(p_1,X0)
| ~ latin(p_1,X0,p_1)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p1877,c4]) ).
cnf(p1890,plain,
( ~ latin(p_1,p_2,p_1)
| eq(p_1,p_2) ),
inference(factoring,[status(thm)],[p1881]) ).
cnf(p2499,plain,
( eq(p_1,p_2)
| eq(p_1,p_2) ),
inference(resolution,[status(thm)],[p2466,p1890]) ).
cnf(p2502,plain,
eq(p_1,p_2),
inference(factoring,[status(thm)],[p2499]) ).
cnf(p2503,plain,
$false,
inference(resolution,[status(thm)],[p2502,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 01:30:30 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.19/6.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.19/6.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------