%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL224-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:07:12 PM UTC 2026
% Result : Unsatisfiable 4.31s 1.15s
% Output : CNFRefutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 42 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 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(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
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(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f10,f17]) ).
fof(f36,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f47,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f48,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f15]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ axiom(or(not(X2),X1))
| theorem(or(not(X2),X0))
| ~ theorem(or(X0,not(X1))) ),
inference(resolution,[status(thm)],[f47,f19]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ axiom(or(not(X0),or(X2,X1)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[status(thm)],[f48,f19]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f65,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(f69,plain,
! [X0,X1,X2,X3] :
( ~ axiom(or(not(X3),X1))
| theorem(or(not(X3),or(X0,X2)))
| ~ theorem(or(X0,or(not(X1),X2))) ),
inference(resolution,[status(thm)],[f63,f19]) ).
fof(f70,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f63,f21]) ).
fof(f86,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f70,f36]) ).
fof(f88,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f86,f47]) ).
fof(f90,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f88,f63]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ axiom(or(not(X2),or(X3,X0)))
| theorem(or(not(X2),or(X3,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[f65,f19]) ).
fof(f112,plain,
! [X0,X1] :
( theorem(or(not(or(X1,X0)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[f65,f90]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( theorem(or(not(or(X2,or(X1,X3))),X0))
| ~ theorem(or(X0,not(or(X1,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f50,f13]) ).
fof(f256,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[status(thm)],[f52,f11]) ).
fof(f259,plain,
! [X0,X1,X2,X3] :
( theorem(or(not(or(X2,X1)),or(X0,X3)))
| ~ theorem(or(X0,or(not(or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f69,f12]) ).
fof(f321,plain,
! [X0,X1,X2,X3] :
( theorem(or(not(or(not(X3),X1)),or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f111,f14]) ).
fof(f614,plain,
~ theorem(or(or(not(or(p,q)),or(p,r)),not(or(not(q),or(p,r))))),
inference(resolution,[status(thm)],[f186,f20]) ).
fof(f970,plain,
~ theorem(or(not(or(not(q),or(p,r))),or(not(or(p,q)),or(p,r)))),
inference(resolution,[status(thm)],[f614,f47]) ).
fof(f2399,plain,
~ theorem(or(not(or(p,or(p,r))),or(p,r))),
inference(resolution,[status(thm)],[f970,f321]) ).
fof(f2415,plain,
~ theorem(or(p,or(not(or(or(p,r),p)),r))),
inference(resolution,[status(thm)],[f2399,f259]) ).
fof(f2778,plain,
~ theorem(or(not(or(or(p,r),p)),or(p,r))),
inference(resolution,[status(thm)],[f2415,f63]) ).
fof(f3070,plain,
~ theorem(or(not(p),or(p,r))),
inference(resolution,[status(thm)],[f2778,f112]) ).
fof(f3078,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3070,f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n003.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 00:14:03 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 4.31/1.15 % Refutation found
% 4.31/1.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.31/1.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.31/1.18 % Elapsed time: 0.728726 seconds
% 4.31/1.18 % CPU time: 5.454193 seconds
% 4.31/1.18 % Total memory used: 121.371 MB
% 4.31/1.18 % Net memory used: 116.852 MB
%------------------------------------------------------------------------------