%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL260-3 : 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 01:07:20 PM UTC 2026
% Result : Unsatisfiable 16.69s 2.62s
% Output : CNFRefutation 16.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 39 unt; 0 def)
% Number of atoms : 98 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 51 ~; 31 |; 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 : 122 ( 122 !; 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(or(p,q),implies(or(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(or(p,q),implies(or(not(p),q),q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
~ theorem(implies(or(p,q),implies(implies(p,q),q))),
inference(forward_demodulation,[status(thm)],[f15,f19]) ).
fof(f21,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f25,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f28,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f30,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(f34,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f38,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f34]) ).
fof(f42,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f50,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f15,f28]) ).
fof(f52,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f30,f18]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f33,f18]) ).
fof(f71,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f33]) ).
fof(f75,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f71]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f42,f18]) ).
fof(f96,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f42]) ).
fof(f98,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f96]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f70,f28]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f70]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f70]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f112]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f113]) ).
fof(f126,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f75]) ).
fof(f128,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f126]) ).
fof(f171,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(or(p,q),implies(implies(p,q),q)))) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f234,plain,
~ theorem(or(implies(or(p,q),implies(implies(p,q),q)),implies(or(p,q),implies(implies(p,q),q)))),
inference(resolution,[status(thm)],[f21,f171]) ).
fof(f240,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(or(p,q),implies(implies(p,q),q)),implies(or(p,q),implies(implies(p,q),q))))) ),
inference(resolution,[status(thm)],[f234,f18]) ).
fof(f253,plain,
! [X0] :
( ~ axiom(implies(X0,or(implies(or(p,q),implies(implies(p,q),q)),implies(or(p,q),implies(implies(p,q),q)))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f240,f16]) ).
fof(f261,plain,
~ theorem(implies(or(p,q),or(implies(or(p,q),implies(implies(p,q),q)),implies(implies(p,q),q)))),
inference(resolution,[status(thm)],[f253,f38]) ).
fof(f263,plain,
~ theorem(or(implies(or(p,q),implies(implies(p,q),q)),implies(implies(p,q),q))),
inference(resolution,[status(thm)],[f261,f50]) ).
fof(f269,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(or(p,q),implies(implies(p,q),q)),implies(implies(p,q),q)))) ),
inference(resolution,[status(thm)],[f263,f18]) ).
fof(f271,plain,
~ theorem(or(implies(implies(p,q),q),implies(or(p,q),implies(implies(p,q),q)))),
inference(resolution,[status(thm)],[f269,f30]) ).
fof(f289,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(implies(p,q),q),implies(or(p,q),implies(implies(p,q),q))))) ),
inference(resolution,[status(thm)],[f271,f18]) ).
fof(f339,plain,
! [X0] :
( ~ theorem(implies(X0,implies(or(p,q),implies(implies(p,q),q))))
| ~ theorem(or(implies(implies(p,q),q),X0)) ),
inference(resolution,[status(thm)],[f289,f95]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f115]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f421]) ).
fof(f458,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f111]) ).
fof(f476,plain,
! [X0,X1,X2] :
( theorem(or(implies(X0,X2),X1))
| ~ theorem(implies(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f114,f52]) ).
fof(f480,plain,
~ theorem(or(implies(implies(p,q),q),implies(implies(p,q),implies(or(p,q),q)))),
inference(resolution,[status(thm)],[f128,f339]) ).
fof(f502,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(implies(p,q),q),implies(implies(p,q),implies(or(p,q),q))))) ),
inference(resolution,[status(thm)],[f480,f18]) ).
fof(f741,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(p,q),implies(or(p,q),q))))
| ~ theorem(or(implies(implies(p,q),q),X0)) ),
inference(resolution,[status(thm)],[f502,f95]) ).
fof(f846,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f422,f98]) ).
fof(f965,plain,
! [X0,X1] : theorem(or(implies(or(X0,X1),X0),X1)),
inference(resolution,[status(thm)],[f476,f30]) ).
fof(f2397,plain,
~ theorem(or(implies(implies(p,q),q),implies(or(p,q),p))),
inference(resolution,[status(thm)],[f846,f741]) ).
fof(f2438,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,or(implies(implies(p,q),q),implies(or(p,q),p)))) ),
inference(resolution,[status(thm)],[f2397,f18]) ).
fof(f2595,plain,
~ theorem(or(implies(or(p,q),p),implies(implies(p,q),q))),
inference(resolution,[status(thm)],[f2438,f30]) ).
fof(f2628,plain,
~ theorem(or(implies(or(p,q),p),q)),
inference(resolution,[status(thm)],[f2595,f458]) ).
fof(f2634,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2628,f965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL260-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:16:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 16.69/2.62 % Refutation found
% 16.69/2.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.69/2.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.69/2.69 % Elapsed time: 2.322725 seconds
% 16.69/2.69 % CPU time: 17.885732 seconds
% 16.69/2.69 % Total memory used: 172.269 MB
% 16.69/2.69 % Net memory used: 156.740 MB
%------------------------------------------------------------------------------