%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL231-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:07:15 PM UTC 2026
% Result : Unsatisfiable 35.43s 4.97s
% Output : CNFRefutation 35.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 23 unt; 0 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : axiom(implies(A,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),implies(p,r)),implies(p,implies(q,r)))),
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(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),implies(p,r)),implies(p,implies(q,r)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f26,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f22]) ).
fof(f37,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f46,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f37,f18]) ).
fof(f64,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f37]) ).
fof(f68,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f64]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f46,f18]) ).
fof(f73,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f46]) ).
fof(f75,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f73]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f63]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f99]) ).
fof(f113,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f68]) ).
fof(f115,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f113]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ theorem(or(X2,X0))
| theorem(or(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f72,f18]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(not(X0),X2)))
| theorem(implies(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f101]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f150]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X2),X0))
| theorem(implies(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f15,f128]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X2,X0))
| theorem(implies(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f15,f210]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ theorem(X1)
| theorem(implies(X0,X2))
| ~ theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f151,f18]) ).
fof(f360,plain,
! [X0] :
( ~ theorem(implies(implies(implies(p,q),implies(p,r)),X0))
| ~ theorem(implies(X0,implies(p,implies(q,r)))) ),
inference(resolution,[status(thm)],[f211,f19]) ).
fof(f383,plain,
~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r)))),
inference(resolution,[status(thm)],[f360,f115]) ).
fof(f652,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X2,X0))
| theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f271,f75]) ).
fof(f4200,plain,
~ theorem(implies(q,implies(p,q))),
inference(resolution,[status(thm)],[f652,f383]) ).
fof(f4228,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4200,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL231-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:15:13 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 35.43/4.97 % Refutation found
% 35.43/4.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 35.43/4.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.99/5.03 % Elapsed time: 4.648921 seconds
% 9.99/5.03 % CPU time: 36.369466 seconds
% 9.99/5.03 % Total memory used: 258.403 MB
% 9.99/5.03 % Net memory used: 232.403 MB
%------------------------------------------------------------------------------