%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:28:14 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 4 unt; 8 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 216 ( 100 ~; 108 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Row,Column1,Label,Column2] :
( eq(Column1,Column2)
| ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Row1,Column,Label,Row2] :
( eq(Row1,Row2)
| ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Row,Column,Label1,Label2] :
( eq(Label1,Label2)
| ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Row,Column] :
( latin(Row,Column,p_2)
| latin(Row,Column,p_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Row,Label] :
( latin(Row,p_2,Label)
| latin(Row,p_1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Column,Label] :
( latin(p_2,Column,Label)
| latin(p_1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Row,Label] :
( greek(Row,p_2,Label)
| greek(Row,p_1,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Column,Label] :
( greek(p_2,Column,Label)
| greek(p_1,Column,Label) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
~ eq(p_1,p_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [Label1,Label2] :
( eq(Label1,Label2)
| ! [Row,Column] :
( ~ latin(Row,Column,Label2)
| ~ latin(Row,Column,Label1) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( eq(X2,X3)
| ~ latin(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [Column1,Column2] :
( eq(Column1,Column2)
| ! [Row,Label] :
( ~ latin(Row,Column2,Label)
| ~ latin(Row,Column1,Label) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( eq(X1,X3)
| ~ latin(X0,X3,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [Row1,Row2] :
( eq(Row1,Row2)
| ! [Column,Label] :
( ~ latin(Row2,Column,Label)
| ~ latin(Row1,Column,Label) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( eq(X0,X3)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [Label1,Label2] :
( eq(Label1,Label2)
| ! [Row,Column] :
( ~ greek(Row,Column,Label2)
| ~ greek(Row,Column,Label1) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( eq(X2,X3)
| ~ greek(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f33,plain,
! [X0,X1] :
( latin(X0,X1,p_2)
| latin(X0,X1,p_1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( latin(X0,p_2,X1)
| latin(X0,p_1,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0,X1] :
( latin(p_2,X0,X1)
| latin(p_1,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f37,plain,
! [X0,X1] :
( greek(X0,p_2,X1)
| greek(X0,p_1,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f38,plain,
! [X0,X1] :
( greek(p_2,X0,X1)
| greek(p_1,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
! [Row1,Row2] :
( eq(Row1,Row2)
| ! [Label2,Column2] :
( ~ latin(Row2,Column2,Label2)
| ! [Label1] :
( ~ greek(Row2,Column2,Label1)
| ! [Column1] :
( ~ latin(Row1,Column1,Label2)
| ~ greek(Row1,Column1,Label1) ) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5] :
( eq(X0,X4)
| ~ latin(X4,X5,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X0,X1] :
( ~ greek(X0,X1,p_2)
| ~ greek(X0,X1,p_1) ),
inference(resolution,[status(thm)],[f18,f28]) ).
fof(f46,plain,
! [X0,X1] :
( ~ latin(p_2,X0,X1)
| ~ latin(p_1,X0,X1) ),
inference(resolution,[status(thm)],[f18,f26]) ).
fof(f47,plain,
! [X0,X1] :
( ~ latin(X0,p_2,X1)
| ~ latin(X0,p_1,X1) ),
inference(resolution,[status(thm)],[f18,f24]) ).
fof(f48,plain,
! [X0,X1] :
( ~ latin(X0,X1,p_2)
| ~ latin(X0,X1,p_1) ),
inference(resolution,[status(thm)],[f18,f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ latin(p_2,X3,X2)
| ~ greek(p_2,X3,X1)
| ~ latin(p_1,X0,X2)
| ~ greek(p_1,X0,X1) ),
inference(resolution,[status(thm)],[f18,f42]) ).
fof(f68,plain,
! [X0] :
( latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0) ),
inference(resolution,[status(thm)],[f46,f34]) ).
fof(f69,plain,
! [X0] :
( latin(p_1,X0,p_1)
| ~ latin(p_2,X0,p_2) ),
inference(resolution,[status(thm)],[f46,f33]) ).
fof(f71,plain,
! [X0] :
( latin(X0,p_1,p_1)
| ~ latin(X0,p_2,p_2) ),
inference(resolution,[status(thm)],[f47,f33]) ).
fof(f74,plain,
! [X0,X1,X2] :
( greek(p_1,p_1,X2)
| ~ latin(p_2,X1,X0)
| ~ greek(p_2,X1,X2)
| ~ latin(p_1,p_2,X0) ),
inference(resolution,[status(thm)],[f50,f37]) ).
fof(f135,definition,
( sQ7_spl
<=> latin(p_2,p_1,p_1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ7_spl
| latin(p_2,p_1,p_1) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f144,definition,
( sQ8_spl
<=> latin(p_2,p_2,p_2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ8_spl
| latin(p_2,p_2,p_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ8_spl
| ~ latin(p_2,p_2,p_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f148,plain,
( ~ sQ7_spl
| ~ latin(p_2,p_2,p_1) ),
inference(resolution,[status(thm)],[f136,f47]) ).
fof(f150,plain,
! [X0,X1,X2] :
( latin(p_1,p_1,X2)
| greek(p_1,p_1,X1)
| ~ latin(p_2,X0,X2)
| ~ greek(p_2,X0,X1) ),
inference(resolution,[status(thm)],[f74,f34]) ).
fof(f155,definition,
( sQ10_spl
<=> latin(p_1,p_2,p_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ10_spl
| latin(p_1,p_2,p_1) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f183,plain,
( latin(p_2,p_2,p_1)
| latin(p_1,p_1,p_2) ),
inference(resolution,[status(thm)],[f68,f33]) ).
fof(f184,definition,
( sQ11_spl
<=> latin(p_1,p_1,p_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ11_spl
| latin(p_1,p_1,p_2) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ12_spl
<=> latin(p_2,p_2,p_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ12_spl
| latin(p_2,p_2,p_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f183,f184,f187]) ).
fof(f191,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f148]) ).
fof(f192,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f207,plain,
( sQ8_spl
| latin(p_2,p_1,p_2) ),
inference(resolution,[status(thm)],[f146,f34]) ).
fof(f208,plain,
( sQ8_spl
| latin(p_2,p_2,p_1) ),
inference(resolution,[status(thm)],[f146,f33]) ).
fof(f209,plain,
( ~ sQ11_spl
| ~ latin(p_2,p_1,p_2) ),
inference(resolution,[status(thm)],[f185,f46]) ).
fof(f214,plain,
( ~ sQ10_spl
| ~ latin(p_1,p_2,p_2) ),
inference(resolution,[status(thm)],[f156,f48]) ).
fof(f222,plain,
( latin(p_1,p_2,p_2)
| latin(p_2,p_1,p_1) ),
inference(resolution,[status(thm)],[f71,f35]) ).
fof(f225,definition,
( sQ14_spl
<=> latin(p_1,p_2,p_2) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ14_spl
| latin(p_1,p_2,p_2) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ14_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f222,f135,f225]) ).
fof(f242,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f214]) ).
fof(f243,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( ~ sQ11_spl
| latin(p_2,p_1,p_1) ),
inference(resolution,[status(thm)],[f209,f33]) ).
fof(f246,plain,
( ~ sQ11_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f245,f135,f184]) ).
fof(f302,plain,
! [X0] :
( sQ8_spl
| latin(p_1,p_1,p_2)
| greek(p_1,p_1,X0)
| ~ greek(p_2,p_1,X0) ),
inference(resolution,[status(thm)],[f207,f150]) ).
fof(f304,definition,
! [X0] :
( sQ21_spl
<=> ( greek(p_1,p_1,X0)
| ~ greek(p_2,p_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f305,plain,
! [X0] :
( ~ sQ21_spl
| greek(p_1,p_1,X0)
| ~ greek(p_2,p_1,X0) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ8_spl
| sQ11_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f302,f304,f184,f144]) ).
fof(f323,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f208,f187,f144]) ).
fof(f328,plain,
! [X0] :
( ~ sQ7_spl
| latin(p_1,p_1,p_1)
| greek(p_1,p_1,X0)
| ~ greek(p_2,p_1,X0) ),
inference(resolution,[status(thm)],[f136,f150]) ).
fof(f331,definition,
( sQ25_spl
<=> latin(p_1,p_1,p_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ25_spl
| latin(p_1,p_1,p_1) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( ~ sQ7_spl
| sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f328,f304,f331,f135]) ).
fof(f335,plain,
! [X0] :
( ~ sQ21_spl
| greek(p_1,p_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f38]) ).
fof(f340,plain,
( ~ sQ21_spl
| ~ greek(p_1,p_1,p_2) ),
inference(resolution,[status(thm)],[f335,f45]) ).
fof(f342,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f340,f335]) ).
fof(f343,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f342]) ).
fof(f373,plain,
( ~ sQ8_spl
| latin(p_1,p_2,p_1) ),
inference(resolution,[status(thm)],[f145,f69]) ).
fof(f376,plain,
( ~ sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f373,f155,f144]) ).
fof(f380,plain,
( ~ sQ25_spl
| ~ latin(p_1,p_2,p_1) ),
inference(resolution,[status(thm)],[f332,f47]) ).
fof(f384,plain,
( ~ sQ25_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f380,f155,f331]) ).
fof(f386,plain,
$false,
inference(sat_refutation,[status(thm)],[f190,f192,f228,f243,f246,f307,f323,f334,f343,f376,f384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:26:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.051985 seconds
% 0.11/0.42 % CPU time: 0.170940 seconds
% 0.11/0.42 % Total memory used: 17.942 MB
% 0.11/0.42 % Net memory used: 17.508 MB
%------------------------------------------------------------------------------