%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL213-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:07:10 PM UTC 2026
% Result : Unsatisfiable 28.73s 4.08s
% Output : CNFRefutation 18.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 36 unt; 0 def)
% Number of atoms : 99 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 47 ~; 33 |; 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 : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(p,q),implies(implies(not(p),q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : axiom(implies(or(X0,X0),X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(p,q),implies(implies(not(p),q),q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f22,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f24,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f27,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f24,f18]) ).
fof(f29,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f32,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f33,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f37,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f33]) ).
fof(f41,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f51,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f29,f18]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f32,f18]) ).
fof(f71,plain,
! [X0,X1,X2] : theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f32]) ).
fof(f75,plain,
! [X0,X1,X2] : theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f71]) ).
fof(f79,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f37]) ).
fof(f81,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f79]) ).
fof(f85,plain,
! [X0,X1] :
( ~ theorem(implies(X1,X0))
| theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f15,f51]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f41,f18]) ).
fof(f95,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f41]) ).
fof(f97,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f95]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f69,f27]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f69]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f69]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f111]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f112]) ).
fof(f170,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(implies(p,q),implies(implies(not(p),q),q)))) ),
inference(resolution,[status(thm)],[f19,f18]) ).
fof(f177,plain,
! [X0] :
( ~ axiom(implies(X0,implies(implies(p,q),implies(implies(not(p),q),q))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f170,f16]) ).
fof(f326,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(implies(X0,X1),or(not(X0),X2))) ),
inference(paramodulation,[status(thm)],[f15,f94]) ).
fof(f328,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f326]) ).
fof(f385,plain,
~ theorem(implies(implies(not(p),q),implies(implies(p,q),q))),
inference(resolution,[status(thm)],[f81,f177]) ).
fof(f388,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(implies(not(p),q),implies(implies(p,q),q)))) ),
inference(resolution,[status(thm)],[f385,f18]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f114]) ).
fof(f411,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f410]) ).
fof(f453,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f110]) ).
fof(f475,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(implies(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f113,f22]) ).
fof(f756,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(p,q),q)))
| ~ theorem(implies(implies(not(p),q),X0)) ),
inference(resolution,[status(thm)],[f388,f328]) ).
fof(f820,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f411,f97]) ).
fof(f904,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X2,X0))
| theorem(or(X0,implies(X1,not(X2)))) ),
inference(resolution,[status(thm)],[f453,f85]) ).
fof(f942,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f475,f24]) ).
fof(f984,plain,
! [X0,X1] : theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f942,f411]) ).
fof(f1948,plain,
~ theorem(implies(implies(not(p),q),or(implies(implies(p,q),q),implies(implies(p,q),q)))),
inference(resolution,[status(thm)],[f756,f20]) ).
fof(f2003,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(implies(not(p),q),or(implies(implies(p,q),q),implies(implies(p,q),q))))) ),
inference(resolution,[status(thm)],[f1948,f18]) ).
fof(f2390,plain,
~ theorem(or(implies(implies(p,q),q),implies(implies(not(p),q),implies(implies(p,q),q)))),
inference(resolution,[status(thm)],[f2003,f75]) ).
fof(f2405,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(implies(p,q),q),implies(implies(not(p),q),implies(implies(p,q),q))))) ),
inference(resolution,[status(thm)],[f2390,f18]) ).
fof(f2786,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(not(p),q),implies(implies(p,q),q))))
| ~ theorem(or(implies(implies(p,q),q),X0)) ),
inference(resolution,[status(thm)],[f2405,f94]) ).
fof(f3137,plain,
~ theorem(or(implies(implies(p,q),q),implies(implies(p,q),not(p)))),
inference(resolution,[status(thm)],[f2786,f820]) ).
fof(f3148,plain,
~ theorem(implies(p,implies(implies(p,q),q))),
inference(resolution,[status(thm)],[f3137,f904]) ).
fof(f3154,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3148,f984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL213-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 00:16:07 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 28.73/4.08 % Refutation found
% 28.73/4.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.73/4.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.08/4.32 % Elapsed time: 3.963039 seconds
% 2.08/4.32 % CPU time: 29.901268 seconds
% 2.08/4.32 % Total memory used: 272.567 MB
% 2.08/4.32 % Net memory used: 239.080 MB
%------------------------------------------------------------------------------