%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 0.14s 5.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Goal_state,Start_state] :
( ~ follows(Goal_state,Start_state)
| ~ fails(Goal_state,Start_state) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Goal_state,Start_state,Intermediate_state] :
( fails(Intermediate_state,Start_state)
| fails(Goal_state,Intermediate_state)
| ~ fails(Goal_state,Start_state) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Goal_state,Start_state,Label] :
( ~ labels(Label,Goal_state)
| ~ has(Start_state,goto(Label))
| ~ fails(Goal_state,Start_state) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
labels(loop,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
follows(p6,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
follows(p7,p6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
follows(p8,p7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
has(p8,goto(loop)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
fails(p3,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] :
( ~ follows(X0,X1)
| ~ fails(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [Start_state,Intermediate_state] :
( fails(Intermediate_state,Start_state)
| ! [Goal_state] :
( fails(Goal_state,Intermediate_state)
| ~ fails(Goal_state,Start_state) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0,X1,X2] :
( fails(X2,X1)
| fails(X0,X2)
| ~ fails(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))
| ~ fails(Goal_state,Start_state) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ labels(X2,X0)
| ~ has(X1,goto(X2))
| ~ fails(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,
fails(p3,p3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f45,plain,
~ fails(p6,p3),
inference(resolution,[status(thm)],[f35,f20]) ).
fof(f46,plain,
~ fails(p7,p6),
inference(resolution,[status(thm)],[f37,f20]) ).
fof(f47,plain,
~ fails(p8,p7),
inference(resolution,[status(thm)],[f39,f20]) ).
fof(f48,plain,
! [X0] :
( ~ has(X0,goto(loop))
| ~ fails(p3,X0) ),
inference(resolution,[status(thm)],[f24,f30]) ).
fof(f51,plain,
! [X0] :
( fails(X0,p3)
| fails(p3,X0) ),
inference(resolution,[status(thm)],[f22,f41]) ).
fof(f53,plain,
! [X0] :
( ~ has(X0,goto(loop))
| fails(X0,p3) ),
inference(resolution,[status(thm)],[f51,f48]) ).
fof(f56,plain,
fails(p8,p3),
inference(resolution,[status(thm)],[f53,f40]) ).
fof(f57,plain,
! [X0] :
( fails(X0,p3)
| fails(p8,X0) ),
inference(resolution,[status(thm)],[f56,f22]) ).
fof(f61,plain,
fails(p7,p3),
inference(resolution,[status(thm)],[f57,f47]) ).
fof(f63,plain,
! [X0] :
( fails(X0,p3)
| fails(p7,X0) ),
inference(resolution,[status(thm)],[f61,f22]) ).
fof(f65,plain,
fails(p6,p3),
inference(resolution,[status(thm)],[f63,f46]) ).
fof(f67,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f65,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.59 % Computer : n009.cluster.edu
% 0.09/5.59 % Model : x86_64 x86_64
% 0.09/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.59 % Memory : 8046.5625MB
% 0.09/5.59 % OS : Linux 6.8.0-71-generic
% 0.09/5.59 % CPULimit : 300
% 0.09/5.59 % WCLimit : 300
% 0.09/5.59 % DateTime : Mon Sep 21 14:13:19 UTC 2026
% 0.09/5.60 % CPUTime :
% 0.14/5.60 % Drodi V4.1.1
% 0.14/5.62 % Refutation found
% 0.14/5.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.64 % Elapsed time: 0.034778 seconds
% 0.14/5.64 % CPU time: 0.095443 seconds
% 0.14/5.64 % Total memory used: 12.724 MB
% 0.14/5.64 % Net memory used: 12.457 MB
%------------------------------------------------------------------------------