%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 0.13s 10.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 15 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2] : p2(X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X15] : ~ p4(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X13,X14] :
( ~ p4(X13,X14)
| p4(f3(c5,X13),f3(c5,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X9,X10,X12,X11] :
( ~ p2(X11,X9)
| ~ p4(X11,X12)
| ~ p2(X12,X10)
| p4(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] : ~ p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
~ p2(c6,c7),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1] :
( ~ p4(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X9,X11] :
( ~ p2(X11,X9)
| ! [X12] :
( ~ p4(X11,X12)
| ! [X10] :
( ~ p2(X12,X10)
| p4(X9,X10) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,X0)
| ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p4(X2,X0)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f19,f11]) ).
fof(f35,plain,
! [X0] :
( ~ p4(f3(c5,c6),X0)
| ~ p2(X0,f3(c5,c7)) ),
inference(resolution,[status(thm)],[f34,f13]) ).
fof(f37,plain,
! [X0,X1] :
( ~ p4(X1,X0)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f34,f10]) ).
fof(f38,plain,
~ p4(f3(c5,c7),f3(c5,c6)),
inference(resolution,[status(thm)],[f37,f13]) ).
fof(f44,plain,
~ p4(c7,c6),
inference(resolution,[status(thm)],[f38,f17]) ).
fof(f60,plain,
( p4(c6,c7)
| p2(c6,c7) ),
inference(resolution,[status(thm)],[f44,f14]) ).
fof(f62,definition,
( sQ3_spl
<=> p2(c6,c7) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ3_spl
| p2(c6,c7) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ4_spl
<=> p4(c6,c7) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ4_spl
| p4(c6,c7) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f60,f62,f65]) ).
fof(f83,plain,
~ p4(f3(c5,c6),f3(c5,c7)),
inference(resolution,[status(thm)],[f35,f10]) ).
fof(f120,plain,
~ p4(c6,c7),
inference(resolution,[status(thm)],[f83,f17]) ).
fof(f124,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f66]) ).
fof(f125,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f124]) ).
fof(f131,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f12]) ).
fof(f132,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f131]) ).
fof(f133,plain,
$false,
inference(sat_refutation,[status(thm)],[f68,f125,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n004.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 11:08:15 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.13/10.41 % Refutation found
% 0.13/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/10.42 % Elapsed time: 0.040075 seconds
% 0.13/10.42 % CPU time: 0.130750 seconds
% 0.13/10.42 % Total memory used: 14.503 MB
% 0.13/10.42 % Net memory used: 14.063 MB
%------------------------------------------------------------------------------