%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.11s 0.50s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 17 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X98] : p8(X98,X98),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X62] : p3(X62,X62),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X77,X78] : p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X82,X83,X85,X84] :
( ~ p3(X84,X83)
| ~ p9(X85,X82)
| ~ p30(X85,X84)
| p30(X82,X83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X108,X109,X110,X111] :
( ~ p8(X108,X110)
| ~ p3(X109,X111)
| p9(f10(X108,X109),f10(X110,X111)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X60,X61] :
( ~ p31(f20(c36,X61),f17(c37,X60))
| p30(f10(f12(c32,c33),f14(c38,X61)),X60)
| p3(X60,f14(c38,X61)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [X86,X87] :
( ~ p30(f10(f12(c32,c33),X86),X87)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f72,plain,
~ p3(c40,f14(c38,c39)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f73,plain,
p31(f20(c36,c39),f17(c37,c40)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f108,plain,
! [X0,X1] : p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f111,plain,
! [X83,X84] :
( ~ p3(X84,X83)
| ! [X82,X85] :
( ~ p9(X85,X82)
| ~ p30(X85,X84)
| p30(X82,X83) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X1)
| ~ p9(X2,X0)
| ~ p30(X2,X3)
| p30(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f116,plain,
! [X108,X110] :
( ~ p8(X108,X110)
| ! [X109,X111] :
( ~ p3(X109,X111)
| p9(f10(X108,X109),f10(X110,X111)) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ p8(X0,X2)
| ~ p3(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f137,plain,
! [X0,X1] :
( ~ p31(f20(c36,X1),f17(c37,X0))
| p30(f10(f12(c32,c33),f14(c38,X1)),X0)
| p3(X0,f14(c38,X1)) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f138,plain,
! [X0,X1] :
( ~ p30(f10(f12(c32,c33),X0),X1)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1)) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ~ p8(X0,X3)
| p9(f10(X0,f4(f7(c34,X1),f14(c38,X2))),f10(X3,f14(X1,X2))) ),
inference(resolution,[status(thm)],[f117,f108]) ).
fof(f213,plain,
( p30(f10(f12(c32,c33),f14(c38,c39)),c40)
| p3(c40,f14(c38,c39)) ),
inference(resolution,[status(thm)],[f137,f73]) ).
fof(f214,plain,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(forward_subsumption_resolution,[status(thm)],[f213,f72]) ).
fof(f215,plain,
p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(resolution,[status(thm)],[f214,f138]) ).
fof(f219,plain,
! [X0,X1,X2] : p9(f10(X0,f4(f7(c34,X1),f14(c38,X2))),f10(X0,f14(X1,X2))),
inference(resolution,[status(thm)],[f162,f57]) ).
fof(f281,plain,
! [X0,X1] :
( ~ p3(f4(f7(c34,c35),c40),X1)
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X0)
| p30(X0,X1) ),
inference(resolution,[status(thm)],[f215,f112]) ).
fof(f397,plain,
! [X0] :
( ~ p3(f4(f7(c34,c35),c40),X0)
| p30(f10(f12(c32,c33),f14(c35,c39)),X0) ),
inference(resolution,[status(thm)],[f281,f219]) ).
fof(f402,plain,
p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(resolution,[status(thm)],[f397,f60]) ).
fof(f403,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f402,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.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 11:12:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.50 % Refutation found
% 0.11/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.50 % Elapsed time: 0.133389 seconds
% 0.11/0.50 % CPU time: 0.854639 seconds
% 0.11/0.50 % Total memory used: 31.057 MB
% 0.11/0.50 % Net memory used: 28.721 MB
%------------------------------------------------------------------------------