%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN698-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:17:06 PM UTC 2026
% Result : Unsatisfiable 1.49s 0.63s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X5] : p10(X5,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X43] : p2(X43,X43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X91,X92] :
( ~ p2(X91,X92)
| p3(f4(X91),f4(X92)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X44,X45,X43] :
( ~ p2(X43,X45)
| ~ p2(X43,X44)
| p2(X44,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [X46,X47,X48,X49] :
( ~ p3(X46,X48)
| ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f86,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f92,plain,
p2(c44,c46),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f111,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f122,plain,
! [X45,X43] :
( ~ p2(X43,X45)
| ! [X44] :
( ~ p2(X43,X44)
| p2(X44,X45) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f143,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f144,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f152,plain,
! [X46,X48] :
( ~ p3(X46,X48)
| ! [X47,X49] :
( ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f173,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f144,f123]) ).
fof(f603,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f173,f123]) ).
fof(f936,plain,
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f603,f143]) ).
fof(f963,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(forward_subsumption_resolution,[status(thm)],[f936,f86]) ).
fof(f972,plain,
( ~ p3(f4(c44),f4(c46))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[f963,f153]) ).
fof(f975,plain,
~ p3(f4(c44),f4(c46)),
inference(forward_subsumption_resolution,[status(thm)],[f972,f81]) ).
fof(f976,plain,
~ p2(c44,c46),
inference(resolution,[status(thm)],[f975,f111]) ).
fof(f978,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f976,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN698-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 11:12:36 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 1.49/0.63 % Refutation found
% 1.49/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.49/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.49/0.65 % Elapsed time: 0.287679 seconds
% 1.49/0.65 % CPU time: 2.027011 seconds
% 1.49/0.65 % Total memory used: 48.448 MB
% 1.49/0.65 % Net memory used: 41.005 MB
%------------------------------------------------------------------------------