%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:17:01 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 50 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X75] : p4(X75,X75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X64] : p3(X64,X64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X3] : p12(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X65,X66,X64] :
( ~ p3(X64,X66)
| ~ p3(X64,X65)
| p3(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X58] : p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X55,X56,X57] :
( ~ p25(f5(X55,X56),X57)
| p25(f5(f7(c28,X55),X56),X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X51,X52,X54,X53] :
( ~ p25(X53,X54)
| ~ p4(X53,X51)
| ~ p3(X54,X52)
| p25(X51,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X67,X68,X69,X70] :
( ~ p12(X68,X70)
| ~ p11(X67,X69)
| p3(f13(X67,X68),f13(X69,X70)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X55,X56,X57,X62] :
( ~ p25(f5(f7(c28,X55),X62),X57)
| ~ p25(f5(X55,X56),X62)
| p25(f5(f7(c28,X55),X56),X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X63] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f55,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f76,plain,
! [X66,X64] :
( ~ p3(X64,X66)
| ! [X65] :
( ~ p3(X64,X65)
| p3(X65,X66) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f94,plain,
! [X0] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ p25(f5(X0,X1),X2)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f99,plain,
! [X54,X53] :
( ~ p25(X53,X54)
| ! [X51] :
( ~ p4(X53,X51)
| ! [X52] :
( ~ p3(X54,X52)
| p25(X51,X52) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ p25(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p25(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f113,plain,
! [X68,X70] :
( ~ p12(X68,X70)
| ! [X67,X69] :
( ~ p11(X67,X69)
| p3(f13(X67,X68),f13(X69,X70)) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ p12(X1,X3)
| ~ p11(X0,X2)
| p3(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f119,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f120,plain,
! [X55,X57,X62] :
( ~ p25(f5(f7(c28,X55),X62),X57)
| ! [X56] :
( ~ p25(f5(X55,X56),X62)
| p25(f5(f7(c28,X55),X56),X57) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f124,plain,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ p4(f5(c29,f13(c31,f15(c32,X2))),X0)
| ~ p3(f13(c31,X2),X1)
| p25(X0,X1) ),
inference(resolution,[status(thm)],[f94,f100]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X1)
| ~ p3(X3,f13(c31,X2))
| ~ p4(f5(c29,f13(c31,f15(c32,X2))),X0)
| p25(X0,X1) ),
inference(resolution,[status(thm)],[f127,f77]) ).
fof(f163,plain,
! [X0,X1] :
( ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X0)))
| p25(f5(f7(c28,c29),X1),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[status(thm)],[f124,f121]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ p12(X4,X2)
| ~ p11(X3,c31)
| ~ p3(f13(X3,X4),X1)
| ~ p4(f5(c29,f13(c31,f15(c32,X2))),X0)
| p25(X0,X1) ),
inference(resolution,[status(thm)],[f133,f114]) ).
fof(f203,plain,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[status(thm)],[f163,f94]) ).
fof(f351,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[status(thm)],[f203,f119]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3,X2)
| ~ p3(f13(c31,X3),X1)
| ~ p4(f5(c29,f13(c31,f15(c32,X2))),X0)
| p25(X0,X1) ),
inference(resolution,[status(thm)],[f192,f50]) ).
fof(f525,plain,
! [X0,X1,X2] :
( ~ p12(X2,X0)
| ~ p3(f13(c31,X2),X1)
| p25(f5(c29,f13(c31,f15(c32,X0))),X1) ),
inference(resolution,[status(thm)],[f522,f54]) ).
fof(f539,plain,
! [X0,X1] :
( ~ p3(f13(c31,X0),X1)
| p25(f5(c29,f13(c31,f15(c32,X0))),X1) ),
inference(resolution,[status(thm)],[f525,f62]) ).
fof(f542,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,f13(c31,X0))
| p25(f5(c29,f13(c31,f15(c32,X0))),X1) ),
inference(resolution,[status(thm)],[f539,f77]) ).
fof(f548,plain,
! [X0] :
( ~ p3(f13(c31,c34),X0)
| p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),X0) ),
inference(resolution,[status(thm)],[f542,f351]) ).
fof(f583,plain,
p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[status(thm)],[f548,f55]) ).
fof(f585,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[status(thm)],[f583,f95]) ).
fof(f587,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f585,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n015.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 11:14:21 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.078191 seconds
% 0.15/0.45 % CPU time: 0.440644 seconds
% 0.15/0.45 % Total memory used: 26.379 MB
% 0.15/0.45 % Net memory used: 25.350 MB
%------------------------------------------------------------------------------