%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL259-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 01:07:20 PM UTC 2026
% Result : Unsatisfiable 7.56s 1.42s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 71 ( 46 unt; 0 def)
% Number of atoms : 99 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 35 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
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(implies(p,implies(p,q)),implies(p,q))),
file('/export/starexec/sandbox2/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,implies(p,q)),implies(p,q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f22,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f23,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f25,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f26,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f27,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f28,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f26,f18]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f27,f18]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f29,f23]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f29]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f29]) ).
fof(f42,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))),
inference(paramodulation,[status(thm)],[f15,f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ theorem(implies(X1,X0))
| theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f15,f28]) ).
fof(f48,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f25]) ).
fof(f56,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f57,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f22]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f36]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f41]) ).
fof(f68,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f42]) ).
fof(f92,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f96,plain,
! [X0,X1,X2] : theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f57,f33]) ).
fof(f128,plain,
! [X0,X1,X2,X3] : theorem(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2))))),
inference(resolution,[status(thm)],[f68,f33]) ).
fof(f133,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X2,X0))
| theorem(or(X0,or(X1,not(X2)))) ),
inference(resolution,[status(thm)],[f35,f45]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( theorem(or(X1,or(X3,implies(X0,X2))))
| ~ theorem(implies(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f62,f35]) ).
fof(f161,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(implies(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f62,f21]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f92,f18]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f96,f18]) ).
fof(f315,plain,
! [X0,X1,X2,X3] :
( ~ theorem(or(X0,implies(X2,X3)))
| theorem(or(X0,implies(implies(X1,X2),implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f128,f18]) ).
fof(f374,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X2,not(X1))))
| theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f133,f18]) ).
fof(f449,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X0))))),
inference(resolution,[status(thm)],[f147,f20]) ).
fof(f503,plain,
! [X0,X1,X2] : theorem(or(X0,or(X1,implies(X2,X2)))),
inference(resolution,[status(thm)],[f159,f22]) ).
fof(f521,plain,
! [X0,X1] : theorem(or(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f503,f21]) ).
fof(f529,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f521,f21]) ).
fof(f533,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[status(thm)],[f529,f147]) ).
fof(f539,plain,
~ theorem(implies(implies(p,implies(p,q)),or(implies(implies(p,implies(p,q)),implies(p,q)),implies(p,q)))),
inference(resolution,[status(thm)],[f161,f19]) ).
fof(f588,plain,
~ theorem(or(implies(implies(p,implies(p,q)),implies(p,q)),implies(p,q))),
inference(resolution,[status(thm)],[f539,f56]) ).
fof(f742,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[status(thm)],[f217,f533]) ).
fof(f752,plain,
! [X0,X1] : theorem(or(X0,implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f15,f742]) ).
fof(f762,plain,
! [X0,X1] : theorem(or(implies(X0,X1),X0)),
inference(resolution,[status(thm)],[f752,f28]) ).
fof(f887,plain,
! [X0,X1,X2] : theorem(or(implies(X0,X1),implies(X2,X0))),
inference(resolution,[status(thm)],[f248,f762]) ).
fof(f921,plain,
~ theorem(implies(p,or(implies(implies(p,implies(p,q)),implies(p,q)),q))),
inference(resolution,[status(thm)],[f588,f62]) ).
fof(f1318,plain,
! [X0,X1,X2] : theorem(or(implies(X0,X1),implies(X1,X2))),
inference(resolution,[status(thm)],[f887,f28]) ).
fof(f1637,plain,
~ theorem(or(implies(implies(p,implies(p,q)),implies(p,q)),q)),
inference(resolution,[status(thm)],[f921,f56]) ).
fof(f1688,plain,
! [X0,X1,X2,X3] : theorem(or(implies(X0,X1),implies(implies(X2,X1),implies(X2,X3)))),
inference(resolution,[status(thm)],[f1318,f315]) ).
fof(f2295,plain,
! [X0,X1] : theorem(or(X0,implies(or(X0,X0),X1))),
inference(resolution,[status(thm)],[f449,f374]) ).
fof(f2309,plain,
! [X0,X1] : theorem(implies(or(X0,X0),or(X0,X1))),
inference(resolution,[status(thm)],[f2295,f67]) ).
fof(f2364,plain,
! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f2309,f18]) ).
fof(f2405,plain,
~ theorem(or(implies(implies(p,implies(p,q)),implies(p,q)),implies(implies(p,implies(p,q)),implies(p,q)))),
inference(resolution,[status(thm)],[f2364,f1637]) ).
fof(f2434,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2405,f1688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL259-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:16:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 7.56/1.42 % Refutation found
% 7.56/1.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.56/1.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.56/1.47 % Elapsed time: 1.080699 seconds
% 7.56/1.47 % CPU time: 8.284112 seconds
% 7.56/1.47 % Total memory used: 127.590 MB
% 7.56/1.47 % Net memory used: 119.833 MB
%------------------------------------------------------------------------------