%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 27 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X34] : p5(X34,X34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X24] : p2(X24,X24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p5(f8(c16,c20),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X35,X36,X34] :
( ~ p5(X34,X36)
| ~ p5(X34,X35)
| p5(X35,X36) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X25,X26,X24] :
( ~ p2(X24,X26)
| ~ p2(X24,X25)
| p2(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X40,X41,X42,X43] :
( ~ p5(X41,X43)
| ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X37] :
( ~ p5(f8(c17,X37),f6(f7(c22)))
| ~ p13(c19,X37)
| ~ p13(X37,c21)
| p5(X37,c20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
p13(c23,c21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f42,plain,
p13(c19,c23),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
p2(c17,f3(c16)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
p5(f8(c16,c20),f6(f7(c22))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f56,plain,
! [X36,X34] :
( ~ p5(X34,X36)
| ! [X35] :
( ~ p5(X34,X35)
| p5(X35,X36) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X26,X24] :
( ~ p2(X24,X26)
| ! [X25] :
( ~ p2(X24,X25)
| p2(X25,X26) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f72,plain,
! [X41,X43] :
( ~ p5(X41,X43)
| ! [X40,X42] :
( ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ p5(X1,X3)
| ~ p2(X0,X2)
| p5(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0] :
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f95,plain,
! [X0] :
( ~ p5(f8(f3(c16),c23),X0)
| p5(X0,f6(f7(c22))) ),
inference(resolution,[status(thm)],[f57,f49]) ).
fof(f96,plain,
! [X0] :
( ~ p5(f8(c16,c20),X0)
| p5(X0,f6(f7(c22))) ),
inference(resolution,[status(thm)],[f57,f47]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p5(X1,X0)
| p5(X0,X1) ),
inference(resolution,[status(thm)],[f57,f36]) ).
fof(f99,plain,
p5(f6(f7(c22)),f8(f3(c16),c23)),
inference(resolution,[status(thm)],[f97,f49]) ).
fof(f100,plain,
p5(f6(f7(c22)),f8(c16,c20)),
inference(resolution,[status(thm)],[f97,f47]) ).
fof(f112,plain,
! [X0,X1] :
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f61,f38]) ).
fof(f114,plain,
p2(f3(c16),c17),
inference(resolution,[status(thm)],[f112,f45]) ).
fof(f149,plain,
! [X0] :
( ~ p5(f6(f7(c22)),X0)
| p5(X0,f8(c16,c20)) ),
inference(resolution,[status(thm)],[f100,f57]) ).
fof(f196,plain,
! [X0,X1] :
( ~ p5(X0,X1)
| p5(f8(f3(c16),X0),f8(c17,X1)) ),
inference(resolution,[status(thm)],[f73,f114]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ p5(X1,X2)
| p5(f8(X0,X1),f8(X0,X2)) ),
inference(resolution,[status(thm)],[f73,f38]) ).
fof(f208,plain,
p5(f8(f3(c16),c23),f8(c16,c20)),
inference(resolution,[status(thm)],[f149,f99]) ).
fof(f234,plain,
! [X0] : p5(f8(f3(c16),X0),f8(c17,X0)),
inference(resolution,[status(thm)],[f196,f36]) ).
fof(f239,plain,
! [X0,X1] :
( ~ p5(f8(f3(c16),X1),X0)
| p5(X0,f8(c17,X1)) ),
inference(resolution,[status(thm)],[f234,f57]) ).
fof(f258,plain,
p5(f8(c16,c20),f8(c17,c23)),
inference(resolution,[status(thm)],[f239,f208]) ).
fof(f262,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(resolution,[status(thm)],[f258,f96]) ).
fof(f282,plain,
( ~ p13(c19,c23)
| ~ p13(c23,c21)
| p5(c23,c20) ),
inference(resolution,[status(thm)],[f262,f74]) ).
fof(f291,plain,
( ~ p13(c19,c23)
| p5(c23,c20) ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f41]) ).
fof(f292,plain,
p5(c23,c20),
inference(forward_subsumption_resolution,[status(thm)],[f291,f42]) ).
fof(f297,plain,
! [X0] : p5(f8(X0,c23),f8(X0,c20)),
inference(resolution,[status(thm)],[f292,f198]) ).
fof(f343,plain,
p5(f8(f3(c16),c20),f6(f7(c22))),
inference(resolution,[status(thm)],[f297,f95]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f343,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:11:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.069246 seconds
% 0.14/0.44 % CPU time: 0.325918 seconds
% 0.14/0.44 % Total memory used: 61.416 MB
% 0.14/0.44 % Net memory used: 60.038 MB
%------------------------------------------------------------------------------