%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL185-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:07:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ theorem(implies(Y,X))
| theorem(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(implies(p,or(p,q))),
file('/export/starexec/sandbox2/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(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(p,or(p,q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f34,plain,
! [X0,X1] :
( ~ axiom(X1)
| ~ axiom(implies(X1,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f25,f16]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ theorem(X1)
| theorem(X2)
| ~ axiom(X0)
| ~ axiom(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f34,f18]) ).
fof(f40,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f42,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f40]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ axiom(X1)
| theorem(X2)
| ~ axiom(X0)
| ~ axiom(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f36,f16]) ).
fof(f82,plain,
! [X0,X1] :
( ~ axiom(X1)
| ~ axiom(X0)
| ~ axiom(implies(X0,implies(X1,implies(p,or(p,q))))) ),
inference(resolution,[status(thm)],[f57,f19]) ).
fof(f87,plain,
! [X0] :
( ~ axiom(implies(p,X0))
| ~ axiom(implies(X0,or(p,q))) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f92,plain,
! [X0] : ~ axiom(implies(or(X0,p),or(p,q))),
inference(resolution,[status(thm)],[f87,f11]) ).
fof(f97,plain,
$false,
inference(resolution,[status(thm)],[f92,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL185-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n015.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Mon Sep 21 00:13:06 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.054183 seconds
% 0.14/0.58 % CPU time: 0.209688 seconds
% 0.14/0.58 % Total memory used: 68.844 MB
% 0.14/0.58 % Net memory used: 68.209 MB
%------------------------------------------------------------------------------