%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN673-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:17:03 PM UTC 2026
% Result : Unsatisfiable 8.22s 1.50s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 66 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X81] : p4(X81,X81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X29] : p16(X29,X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X60,X59] :
( ~ p27(f12(c32,X59),X60)
| p29(X60,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X59,X60] :
( ~ p29(X60,X59)
| p27(f12(c32,X59),X60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X68] :
( ~ p16(X68,c40)
| p28(f21(c30,X68),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X68] :
( ~ p29(f24(c42,X68),c39)
| p28(f21(c30,X68),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X69,X70,X72,X71] :
( ~ p10(X71,X70)
| ~ p4(X72,X69)
| ~ p29(X72,X71)
| p29(X69,X70) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X73] :
( ~ p10(X73,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X73)
| p29(f24(c42,f26(c43,X73)),c39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X73] :
( ~ p28(f21(c30,f26(c43,X73)),c31)
| ~ p10(X73,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [X61,X62] :
( ~ p27(f12(c32,X61),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62),c31)
| p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f60,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f67,plain,
! [X0] : p16(X0,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f72,plain,
~ p29(f5(c33,f8(c34,c30)),c38),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X0,X1] :
( ~ p27(f12(c32,X1),X0)
| p29(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p29(X1,X0)
| p27(f12(c32,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f75,plain,
! [X0] :
( ~ p16(X0,c40)
| p28(f21(c30,X0),c31) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f77,plain,
! [X2,X0] :
( ~ p10(X0,X2)
| ! [X1] :
( ~ p10(X0,X1)
| p10(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f107,plain,
! [X0] :
( ~ p29(f24(c42,X0),c39)
| p28(f21(c30,X0),c31) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f108,plain,
! [X70,X71] :
( ~ p10(X71,X70)
| ! [X69,X72] :
( ~ p4(X72,X69)
| ~ p29(X72,X71)
| p29(X69,X70) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X1)
| ~ p4(X2,X0)
| ~ p29(X2,X3)
| p29(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f114,plain,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f135,plain,
! [X0] :
( ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0)
| p29(f24(c42,f26(c43,X0)),c39) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f136,plain,
! [X0] :
( ~ p28(f21(c30,f26(c43,X0)),c31)
| ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f138,plain,
! [X61] :
( ~ p27(f12(c32,X61),f5(c33,f8(c34,c30)))
| ! [X62] :
( ~ p28(f21(c30,X62),c31)
| p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30))) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f139,plain,
! [X0,X1] :
( ~ p27(f12(c32,X0),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X1),c31)
| p27(f12(c32,f14(f19(c35,X0),f17(c36,X1))),f5(c33,f8(c34,c30))) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f142,plain,
! [X0,X1] :
( ~ p10(X1,c38)
| ~ p4(X0,f5(c33,f8(c34,c30)))
| ~ p29(X0,X1) ),
inference(resolution,[status(thm)],[f109,f72]) ).
fof(f144,plain,
! [X0] :
( ~ p29(f24(c42,f26(c43,X0)),c39)
| ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0) ),
inference(resolution,[status(thm)],[f136,f107]) ).
fof(f147,plain,
! [X0] :
( ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f135]) ).
fof(f151,plain,
! [X0] :
( ~ p10(X0,c38)
| ~ p29(f5(c33,f8(c34,c30)),X0) ),
inference(resolution,[status(thm)],[f142,f60]) ).
fof(f176,plain,
! [X0,X1] :
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,X1),f17(c36,X0)))
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X0),c31) ),
inference(resolution,[status(thm)],[f139,f73]) ).
fof(f180,plain,
! [X0,X1] :
( ~ p10(f14(f19(c35,X1),f17(c36,X0)),c38)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X0),c31) ),
inference(resolution,[status(thm)],[f176,f151]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ p10(X2,c38)
| ~ p10(X2,f14(f19(c35,X1),f17(c36,X0)))
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X0),c31) ),
inference(resolution,[status(thm)],[f180,f78]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ p16(X2,c40)
| ~ p10(X1,c38)
| ~ p10(X1,f14(f19(c35,X0),f17(c36,X2)))
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
inference(resolution,[status(thm)],[f200,f75]) ).
fof(f431,plain,
! [X0,X1] :
( ~ p10(X1,c38)
| ~ p10(X1,f14(f19(c35,X0),f17(c36,c40)))
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
inference(resolution,[status(thm)],[f260,f67]) ).
fof(f748,plain,
! [X0] :
( ~ p10(c38,f14(f19(c35,X0),f17(c36,c40)))
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
inference(resolution,[status(thm)],[f431,f56]) ).
fof(f1387,plain,
~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))),
inference(resolution,[status(thm)],[f748,f114]) ).
fof(f1410,plain,
~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)),
inference(resolution,[status(thm)],[f1387,f74]) ).
fof(f1412,plain,
~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39)),
inference(resolution,[status(thm)],[f1410,f147]) ).
fof(f1415,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1412,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN673-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:12:50 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 8.22/1.50 % Refutation found
% 8.22/1.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.22/1.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.21/1.52 % Elapsed time: 1.135417 seconds
% 1.21/1.52 % CPU time: 8.710166 seconds
% 1.21/1.52 % Total memory used: 105.408 MB
% 1.21/1.52 % Net memory used: 78.002 MB
%------------------------------------------------------------------------------