%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL214-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 53.97s 7.30s
% Output : CNFRefutation 30.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 28 unt; 0 def)
% Number of atoms : 72 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 34 ~; 26 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),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(implies(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(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(implies(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(f29,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,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(f42,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f44,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f42]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f29,f18]) ).
fof(f50,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f29]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f41,f18]) ).
fof(f90,plain,
! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f50,f18]) ).
fof(f97,plain,
~ theorem(or(implies(implies(p,q),q),not(or(p,q)))),
inference(resolution,[status(thm)],[f90,f19]) ).
fof(f100,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f37]) ).
fof(f102,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f100]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ~ theorem(or(X2,X0))
| theorem(or(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f70,f18]) ).
fof(f509,plain,
! [X0,X1,X2] :
( theorem(or(X1,X2))
| ~ theorem(or(X2,X0))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f256,f48]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X2),X0))
| theorem(implies(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f15,f256]) ).
fof(f515,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X2,X0))
| theorem(implies(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f15,f514]) ).
fof(f1549,plain,
! [X0] :
( ~ theorem(or(not(or(p,q)),X0))
| ~ theorem(implies(X0,implies(implies(p,q),q))) ),
inference(resolution,[status(thm)],[f509,f97]) ).
fof(f1569,plain,
! [X0] :
( ~ theorem(implies(or(p,q),X0))
| ~ theorem(implies(X0,implies(implies(p,q),q))) ),
inference(forward_demodulation,[status(thm)],[f15,f1549]) ).
fof(f3818,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f3845,plain,
! [X0,X1,X2,X3] :
( ~ axiom(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f3818,f41]) ).
fof(f3848,plain,
! [X0,X1] :
( ~ axiom(implies(implies(or(X1,X1),X1),X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f3818,f20]) ).
fof(f3952,plain,
! [X0,X1,X2] : theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))),
inference(resolution,[status(thm)],[f3845,f102]) ).
fof(f4016,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f3848,f44]) ).
fof(f4729,plain,
~ theorem(implies(or(p,q),implies(implies(p,q),or(q,q)))),
inference(resolution,[status(thm)],[f4016,f1569]) ).
fof(f6100,plain,
! [X0] :
( ~ theorem(implies(or(p,q),X0))
| ~ theorem(implies(X0,implies(implies(p,q),or(q,q)))) ),
inference(resolution,[status(thm)],[f515,f4729]) ).
fof(f6200,plain,
~ theorem(implies(or(p,q),or(q,p))),
inference(resolution,[status(thm)],[f6100,f3952]) ).
fof(f6211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6200,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL214-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:12:40 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 53.97/7.30 % Refutation found
% 53.97/7.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 53.97/7.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 30.52/7.37 % Elapsed time: 6.999514 seconds
% 30.52/7.37 % CPU time: 55.143139 seconds
% 30.52/7.37 % Total memory used: 379.872 MB
% 30.52/7.37 % Net memory used: 330.434 MB
%------------------------------------------------------------------------------