%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X3] : p2(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X10,X11] : p2(f3(X10,X11),f3(X11,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X4,X5,X3] :
( ~ p2(X3,X5)
| ~ p2(X3,X4)
| p2(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X0,X1,X2] :
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X12,X13,X14] : p2(f3(X12,f3(X13,X14)),f3(X13,f3(X12,X14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
~ p2(c6,f3(c8,f5(c9))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X5,X3] :
( ~ p2(X3,X5)
| ! [X4] :
( ~ p2(X3,X4)
| p2(X4,X5) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ! [X2] : ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] : p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0] : ~ p2(f3(c6,X0),f3(f3(c8,f5(c9)),X0)),
inference(resolution,[status(thm)],[f24,f16]) ).
fof(f40,plain,
! [X0,X1] :
( ~ p2(X0,f3(f3(c8,f5(c9)),X1))
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[status(thm)],[f33,f20]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ p2(X2,f3(f3(c8,f5(c9)),X1))
| ~ p2(X2,X0)
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[status(thm)],[f40,f20]) ).
fof(f159,plain,
! [X0,X1] :
( ~ p2(f3(X1,f3(c8,f5(c9))),X0)
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[status(thm)],[f70,f17]) ).
fof(f396,plain,
! [X0] : ~ p2(f3(c8,f3(X0,f5(c9))),f3(c6,X0)),
inference(resolution,[status(thm)],[f159,f27]) ).
fof(f405,plain,
! [X0,X1] :
( ~ p2(X0,f3(c6,X1))
| ~ p2(X0,f3(c8,f3(X1,f5(c9)))) ),
inference(resolution,[status(thm)],[f396,f20]) ).
fof(f760,plain,
! [X0] : ~ p2(f3(c6,X0),f3(c8,f3(X0,f5(c9)))),
inference(resolution,[status(thm)],[f405,f14]) ).
fof(f778,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f29,f760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n006.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 11:07:59 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.67 % Refutation found
% 0.19/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.71 % Elapsed time: 0.213598 seconds
% 0.25/0.71 % CPU time: 1.248355 seconds
% 0.25/0.71 % Total memory used: 68.718 MB
% 0.25/0.71 % Net memory used: 65.434 MB
%------------------------------------------------------------------------------