%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL222-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 7.26s 1.53s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 23 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ axiom(or(not(Y),X))
| theorem(X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(q),p)),or(not(or(or(p,q),r)),or(p,r)))),
file('/export/starexec/sandbox/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(not(q),p)),or(not(or(or(p,q),r)),or(p,r)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f10,f17]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(or(X2,X0)),X1))
| theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[f11,f19]) ).
fof(f27,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(or(X1,X0)),X2))
| theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f12,f19]) ).
fof(f33,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f34,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f15]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ theorem(or(not(or(X1,or(X0,X2))),X3))
| theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f13,f19]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ theorem(or(not(or(not(or(X3,X0)),or(X3,X1))),X2))
| theorem(or(not(or(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f14,f19]) ).
fof(f44,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(f82,plain,
! [X0,X1,X2,X3] :
( theorem(or(not(or(X0,X2)),X3))
| ~ theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f40,f26]) ).
fof(f111,plain,
~ theorem(or(not(or(or(p,q),r)),or(not(or(not(q),p)),or(p,r)))),
inference(resolution,[status(thm)],[f41,f20]) ).
fof(f112,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)],[f41,f32]) ).
fof(f114,plain,
! [X0,X1,X2] :
( theorem(or(or(X0,X2),X1))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f41,f33]) ).
fof(f115,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f41,f22]) ).
fof(f141,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)],[f44,f43]) ).
fof(f254,plain,
! [X0,X1,X2] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))),
inference(resolution,[status(thm)],[f82,f34]) ).
fof(f317,plain,
~ theorem(or(not(or(not(q),p)),or(not(or(r,or(p,q))),or(p,r)))),
inference(resolution,[status(thm)],[f112,f111]) ).
fof(f392,plain,
! [X0,X1,X2,X3] :
( theorem(or(X3,or(or(X0,X2),X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f114,f27]) ).
fof(f443,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(or(or(or(X0,X1),X2),X2),X1)))
| theorem(or(or(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f115,f114]) ).
fof(f788,plain,
! [X0,X1,X2,X3,X4] :
( theorem(or(not(or(not(X4),X2)),or(not(or(X0,or(X1,X4))),X3)))
| ~ theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f141,f43]) ).
fof(f849,plain,
! [X0,X1,X2] : theorem(or(not(or(X0,X1)),or(or(X2,X0),X1))),
inference(resolution,[status(thm)],[f254,f32]) ).
fof(f3734,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ),
inference(resolution,[status(thm)],[f392,f115]) ).
fof(f4019,plain,
! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(resolution,[status(thm)],[f443,f849]) ).
fof(f4437,plain,
! [X0,X1] : theorem(or(or(not(or(or(X0,X0),X1)),X1),X0)),
inference(resolution,[status(thm)],[f4019,f3734]) ).
fof(f6280,plain,
! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X0),X1)),X1))),
inference(resolution,[status(thm)],[f4437,f33]) ).
fof(f9000,plain,
~ theorem(or(not(or(r,or(p,p))),or(p,r))),
inference(resolution,[status(thm)],[f788,f317]) ).
fof(f9874,plain,
~ theorem(or(p,or(not(or(or(p,p),r)),r))),
inference(resolution,[status(thm)],[f9000,f112]) ).
fof(f9877,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f9874,f6280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL222-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n017.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 00:07:27 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 7.26/1.53 % Refutation found
% 7.26/1.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.26/1.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.26/1.60 % Elapsed time: 1.019317 seconds
% 7.26/1.60 % CPU time: 7.780962 seconds
% 7.26/1.60 % Total memory used: 159.869 MB
% 7.26/1.60 % Net memory used: 152.735 MB
%------------------------------------------------------------------------------