%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 03:17:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.64s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
! [X58] : p25(X58,X58),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X41] : p20(X41,X41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X197,X198,X199] :
( ~ p57(f26(X197,X198),X199)
| p57(f26(f30(c85,X197),X198),X199) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X193,X194,X196,X195] :
( ~ p21(X195,X194)
| ~ p57(X196,X195)
| ~ p25(X196,X193)
| p57(X193,X194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [X51,X52,X53,X54] :
( ~ p3(X52,X54)
| ~ p20(X51,X53)
| p21(f22(X51,X52),f22(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [X200,X201,X202,X203] :
( ~ p57(f26(f30(c85,X200),X203),X202)
| ~ p57(f26(f30(c85,X200),X201),X203)
| p57(f26(f30(c85,X200),X201),X202) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f141,plain,
! [X0] : p25(X0,X0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f144,plain,
! [X0] : p20(X0,X0),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f154,plain,
p3(c84,f10(c72,c73)),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ~ p57(f26(X0,X1),X2)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f229,plain,
! [X194,X195] :
( ~ p21(X195,X194)
| ! [X196] :
( ~ p57(X196,X195)
| ! [X193] :
( ~ p25(X196,X193)
| p57(X193,X194) ) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ~ p21(X3,X1)
| ~ p57(X2,X3)
| ~ p25(X2,X0)
| p57(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f237,plain,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f238,plain,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f276,plain,
! [X52,X54] :
( ~ p3(X52,X54)
| ! [X51,X53] :
( ~ p20(X51,X53)
| p21(f22(X51,X52),f22(X53,X54)) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f277,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p20(X0,X2)
| p21(f22(X0,X1),f22(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f284,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f287,plain,
! [X200,X202,X203] :
( ~ p57(f26(f30(c85,X200),X203),X202)
| ! [X201] :
( ~ p57(f26(f30(c85,X200),X201),X203)
| p57(f26(f30(c85,X200),X201),X202) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f288,plain,
! [X0,X1,X2,X3] :
( ~ p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f351,plain,
! [X0,X1,X2] :
( ~ p21(X2,X1)
| ~ p57(X0,X2)
| p57(X0,X1) ),
inference(resolution,[status(thm)],[f230,f141]) ).
fof(f357,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(resolution,[status(thm)],[f237,f222]) ).
fof(f363,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(resolution,[status(thm)],[f238,f222]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p21(f22(X0,X1),f22(X0,X2)) ),
inference(resolution,[status(thm)],[f277,f144]) ).
fof(f432,plain,
! [X0] : p21(f22(X0,c84),f22(X0,f10(c72,c73))),
inference(resolution,[status(thm)],[f428,f154]) ).
fof(f587,plain,
! [X0] :
( ~ p21(f22(f24(c71,c83),c84),X0)
| p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),X0) ),
inference(resolution,[status(thm)],[f357,f351]) ).
fof(f596,plain,
! [X0] :
( ~ p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),X0)
| p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0) ),
inference(resolution,[status(thm)],[f363,f288]) ).
fof(f1030,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),f10(c72,c73))),
inference(resolution,[status(thm)],[f587,f432]) ).
fof(f1942,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(resolution,[status(thm)],[f1030,f596]) ).
fof(f1947,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1942,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n015.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 11:16:26 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.13/5.64 % Refutation found
% 0.13/5.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.65 % Elapsed time: 0.283025 seconds
% 0.13/5.65 % CPU time: 2.058414 seconds
% 0.13/5.65 % Total memory used: 59.093 MB
% 0.13/5.65 % Net memory used: 52.625 MB
%------------------------------------------------------------------------------