%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL219-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 31.50s 4.48s
% Output : CNFRefutation 31.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 26 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 29 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ theorem(implies(Y,X))
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(implies(p,q),q),or(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [Y] :
( ~ theorem(Y)
| ! [X] :
( ~ theorem(implies(Y,X))
| theorem(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
~ theorem(implies(implies(implies(p,q),q),or(p,q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f26,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f33,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f49,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f54,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f33]) ).
fof(f58,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f54]) ).
fof(f72,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f49]) ).
fof(f74,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f72]) ).
fof(f77,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f58]) ).
fof(f79,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f77]) ).
fof(f81,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(implies(implies(p,q),q),or(p,q)))) ),
inference(resolution,[status(thm)],[f19,f18]) ).
fof(f91,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,implies(X0,implies(implies(implies(p,q),q),or(p,q)))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f81,f18]) ).
fof(f107,plain,
! [X0] :
( ~ theorem(implies(implies(implies(p,q),q),implies(X0,or(p,q))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f91,f79]) ).
fof(f248,plain,
~ theorem(or(p,implies(p,q))),
inference(resolution,[status(thm)],[f107,f49]) ).
fof(f250,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(p,implies(p,q)))) ),
inference(resolution,[status(thm)],[f248,f18]) ).
fof(f255,plain,
~ theorem(implies(p,or(p,q))),
inference(resolution,[status(thm)],[f250,f58]) ).
fof(f261,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(p,or(p,q)))) ),
inference(resolution,[status(thm)],[f255,f18]) ).
fof(f303,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,implies(X0,implies(p,or(p,q)))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f261,f18]) ).
fof(f1274,plain,
! [X0] :
( ~ theorem(implies(X0,or(p,q)))
| ~ theorem(implies(p,X0)) ),
inference(resolution,[status(thm)],[f303,f74]) ).
fof(f1281,plain,
! [X0] : ~ theorem(implies(or(X0,p),or(p,q))),
inference(resolution,[status(thm)],[f1274,f21]) ).
fof(f1285,plain,
$false,
inference(resolution,[status(thm)],[f1281,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL219-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:11:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 31.50/4.48 % Refutation found
% 31.50/4.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.50/4.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.50/4.56 % Elapsed time: 4.165123 seconds
% 31.50/4.56 % CPU time: 32.486464 seconds
% 31.50/4.56 % Total memory used: 222.434 MB
% 31.50/4.56 % Net memory used: 197.857 MB
%------------------------------------------------------------------------------