%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X12] : p4(X12,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X24] : p4(f5(c7,X24,c8),f5(c7,X24,c9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X13,X14,X12] :
( ~ p4(X12,X14)
| ~ p4(X12,X13)
| p4(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X21,X22,X23] :
( ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22))
| ~ p4(f5(c7,X21,X23),X23)
| p4(f5(c7,X21,X22),X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
p4(f5(c7,c10,c9),c9),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
~ p4(f5(c7,c10,c8),c8),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X14,X12] :
( ~ p4(X12,X14)
| ! [X13] :
( ~ p4(X12,X13)
| p4(X13,X14) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p4(f5(c7,X0,c8),X1)
| p4(f5(c7,X0,c9),X1) ),
inference(resolution,[status(thm)],[f18,f22]) ).
fof(f45,plain,
! [X0] : p4(f5(c7,X0,c9),f5(c7,X0,c8)),
inference(resolution,[status(thm)],[f33,f14]) ).
fof(f59,plain,
! [X0] :
( ~ p4(f5(c7,X0,c9),c9)
| p4(f5(c7,X0,c8),c8) ),
inference(resolution,[status(thm)],[f29,f45]) ).
fof(f98,plain,
p4(f5(c7,c10,c8),c8),
inference(resolution,[status(thm)],[f59,f16]) ).
fof(f99,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f98,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 11:06:05 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49 % Elapsed time: 0.053086 seconds
% 0.17/0.49 % CPU time: 0.142191 seconds
% 0.17/0.49 % Total memory used: 26.477 MB
% 0.17/0.49 % Net memory used: 26.246 MB
%------------------------------------------------------------------------------