%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:10:14 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 20 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Goal_state,Start_state] :
( ~ follows(Goal_state,Start_state)
| succeeds(Goal_state,Start_state) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Goal_state,Start_state,Intermediate_state] :
( ~ succeeds(Intermediate_state,Start_state)
| ~ succeeds(Goal_state,Intermediate_state)
| succeeds(Goal_state,Start_state) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Goal_state,Start_state,Label] :
( ~ labels(Label,Goal_state)
| ~ has(Start_state,goto(Label))
| succeeds(Goal_state,Start_state) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
labels(loop,p3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
follows(p6,p3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
follows(p7,p6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
follows(p8,p7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
has(p8,goto(loop)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ succeeds(p3,p3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] :
( ~ follows(X0,X1)
| succeeds(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [Start_state,Intermediate_state] :
( ~ succeeds(Intermediate_state,Start_state)
| ! [Goal_state] :
( ~ succeeds(Goal_state,Intermediate_state)
| succeeds(Goal_state,Start_state) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ succeeds(X2,X1)
| ~ succeeds(X0,X2)
| succeeds(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [Goal_state,Label] :
( ~ labels(Label,Goal_state)
| ! [Start_state] :
( ~ has(Start_state,goto(Label))
| succeeds(Goal_state,Start_state) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ labels(X2,X0)
| ~ has(X1,goto(X2))
| succeeds(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f30,plain,
labels(loop,p3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f35,plain,
follows(p6,p3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f37,plain,
follows(p7,p6),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f39,plain,
follows(p8,p7),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f40,plain,
has(p8,goto(loop)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f41,plain,
~ succeeds(p3,p3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f45,plain,
succeeds(p6,p3),
inference(resolution,[status(thm)],[f35,f20]) ).
fof(f46,plain,
succeeds(p7,p6),
inference(resolution,[status(thm)],[f37,f20]) ).
fof(f47,plain,
succeeds(p8,p7),
inference(resolution,[status(thm)],[f39,f20]) ).
fof(f52,plain,
! [X0] :
( ~ succeeds(p6,X0)
| succeeds(p7,X0) ),
inference(resolution,[status(thm)],[f46,f22]) ).
fof(f53,plain,
! [X0] :
( ~ succeeds(p7,X0)
| succeeds(p8,X0) ),
inference(resolution,[status(thm)],[f47,f22]) ).
fof(f55,plain,
! [X0] :
( ~ labels(loop,X0)
| succeeds(X0,p8) ),
inference(resolution,[status(thm)],[f40,f24]) ).
fof(f68,plain,
succeeds(p7,p3),
inference(resolution,[status(thm)],[f52,f45]) ).
fof(f72,plain,
succeeds(p3,p8),
inference(resolution,[status(thm)],[f55,f30]) ).
fof(f74,plain,
! [X0] :
( ~ succeeds(p8,X0)
| succeeds(p3,X0) ),
inference(resolution,[status(thm)],[f72,f22]) ).
fof(f79,plain,
succeeds(p8,p3),
inference(resolution,[status(thm)],[f53,f68]) ).
fof(f96,plain,
succeeds(p3,p3),
inference(resolution,[status(thm)],[f74,f79]) ).
fof(f99,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f96,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 14:13:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.075843 seconds
% 0.11/0.44 % CPU time: 0.195576 seconds
% 0.11/0.44 % Total memory used: 55.993 MB
% 0.11/0.44 % Net memory used: 55.656 MB
%------------------------------------------------------------------------------