%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL201-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:07:06 PM UTC 2026
% Result : Unsatisfiable 39.32s 5.63s
% Output : CNFRefutation 22.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 48 unt; 0 def)
% Number of atoms : 95 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 150 ( 150 !; 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(not(or(p,q)),or(not(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(not(or(p,q)),or(not(p),q))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
~ theorem(implies(not(or(p,q)),implies(p,q))),
inference(backward_demodulation,[status(thm)],[f15,f19]) ).
fof(f21,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f23,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f28,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f28,f18]) ).
fof(f51,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f74,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f51,f18]) ).
fof(f78,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f51]) ).
fof(f83,plain,
! [X0,X1] :
( ~ theorem(implies(X1,X0))
| theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f15,f74]) ).
fof(f102,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f111,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f102,f18]) ).
fof(f131,plain,
! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f78,f18]) ).
fof(f145,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(resolution,[status(thm)],[f83,f28]) ).
fof(f161,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))),
inference(resolution,[status(thm)],[f145,f30]) ).
fof(f202,plain,
! [X0,X1] :
( ~ theorem(implies(X1,not(X0)))
| theorem(implies(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f15,f131]) ).
fof(f363,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f111,f18]) ).
fof(f367,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f111]) ).
fof(f369,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f367]) ).
fof(f524,plain,
! [X0,X1,X2] : theorem(or(or(X0,X1),or(X2,not(X1)))),
inference(resolution,[status(thm)],[f116,f161]) ).
fof(f533,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f15,f116]) ).
fof(f534,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(or(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f15,f116]) ).
fof(f535,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f533]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,implies(X0,X2)))
| theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f534]) ).
fof(f556,plain,
! [X0,X1,X2] : theorem(or(or(X0,not(X1)),or(X2,X1))),
inference(resolution,[status(thm)],[f524,f74]) ).
fof(f578,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,not(X2)),X2))),
inference(resolution,[status(thm)],[f556,f116]) ).
fof(f618,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(resolution,[status(thm)],[f578,f23]) ).
fof(f626,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[status(thm)],[f618,f74]) ).
fof(f631,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[status(thm)],[f626,f116]) ).
fof(f646,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[status(thm)],[f631,f23]) ).
fof(f652,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f646,f131]) ).
fof(f657,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(paramodulation,[status(thm)],[f15,f646]) ).
fof(f928,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f363,f78]) ).
fof(f1242,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f369,f18]) ).
fof(f1648,plain,
! [X0,X1] : theorem(or(X0,implies(or(X0,X1),X1))),
inference(resolution,[status(thm)],[f535,f652]) ).
fof(f1731,plain,
! [X0,X1] : theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(paramodulation,[status(thm)],[f15,f1648]) ).
fof(f1733,plain,
! [X0,X1] : theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(forward_demodulation,[status(thm)],[f15,f1731]) ).
fof(f1795,plain,
! [X0,X1] :
( ~ theorem(X0)
| theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f1733,f18]) ).
fof(f4063,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X2,not(X1))))
| theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f928,f18]) ).
fof(f4682,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[status(thm)],[f1242,f657]) ).
fof(f40891,plain,
! [X0,X1] : theorem(or(X0,implies(X0,X1))),
inference(resolution,[status(thm)],[f4063,f626]) ).
fof(f40904,plain,
! [X0,X1] : theorem(implies(X0,or(X0,X1))),
inference(resolution,[status(thm)],[f40891,f536]) ).
fof(f40973,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(X0,or(X1,X2)))),
inference(resolution,[status(thm)],[f40904,f1242]) ).
fof(f41009,plain,
! [X0,X1,X2] : theorem(implies(implies(implies(X0,or(X0,X1)),X2),X2)),
inference(resolution,[status(thm)],[f40904,f1795]) ).
fof(f57492,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f40973,f18]) ).
fof(f57748,plain,
! [X0,X1,X2] :
( ~ theorem(implies(implies(X1,or(X1,X2)),X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f41009,f18]) ).
fof(f77387,plain,
! [X0,X1] : theorem(implies(X0,not(not(or(X0,X1))))),
inference(resolution,[status(thm)],[f57748,f4682]) ).
fof(f77631,plain,
! [X0,X1] : theorem(implies(not(or(X0,X1)),not(X0))),
inference(resolution,[status(thm)],[f77387,f202]) ).
fof(f77690,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),or(not(X0),X2))),
inference(resolution,[status(thm)],[f77631,f57492]) ).
fof(f77744,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f15,f77690]) ).
fof(f78977,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f77744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL201-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n004.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 00:10:51 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.15/0.58 % Drodi V4.1.1
% 39.32/5.63 % Refutation found
% 39.32/5.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.32/5.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.65/5.69 % Elapsed time: 5.103352 seconds
% 22.65/5.69 % CPU time: 40.333218 seconds
% 22.65/5.69 % Total memory used: 307.402 MB
% 22.65/5.69 % Net memory used: 263.005 MB
%------------------------------------------------------------------------------