%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL237-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:07:16 PM UTC 2026
% Result : Unsatisfiable 6.86s 1.51s
% Output : CNFRefutation 6.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ axiom(or(not(Y),X))
| theorem(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Z,Y] :
( ~ theorem(or(not(Y),Z))
| ~ axiom(or(not(X),Y))
| theorem(or(not(X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [Y] :
( ~ theorem(Y)
| ! [X] :
( ~ axiom(or(not(Y),X))
| theorem(X) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [Z,Y] :
( ~ theorem(or(not(Y),Z))
| ! [X] :
( ~ axiom(or(not(X),Y))
| theorem(or(not(X),Z)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f10,f17]) ).
fof(f41,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f54,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f15]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ axiom(or(not(X0),or(X2,X1)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[status(thm)],[f55,f19]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X1),X2))
| theorem(or(not(or(X0,X1)),or(X0,X2))) ),
inference(resolution,[status(thm)],[f14,f17]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f88,f41]) ).
fof(f145,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f103,f21]) ).
fof(f148,plain,
! [X0,X1,X2] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[f90,f54]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f145,f103]) ).
fof(f245,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[status(thm)],[f74,f11]) ).
fof(f1443,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X2),or(X1,not(or(X0,X2)))))
| theorem(or(X0,or(X1,not(or(X0,X2))))) ),
inference(resolution,[status(thm)],[f168,f148]) ).
fof(f6155,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))),
inference(resolution,[status(thm)],[f1443,f245]) ).
fof(f6303,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[status(thm)],[f6155,f88]) ).
fof(f6306,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f6303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL237-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n005.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 00:13:48 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 6.86/1.51 % Refutation found
% 6.86/1.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.86/1.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.86/1.56 % Elapsed time: 1.132063 seconds
% 6.86/1.56 % CPU time: 8.625612 seconds
% 6.86/1.56 % Total memory used: 153.801 MB
% 6.86/1.56 % Net memory used: 145.296 MB
%------------------------------------------------------------------------------