%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL240-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:07:16 PM UTC 2026
% Result : Unsatisfiable 53.61s 7.28s
% Output : CNFRefutation 49.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 50 unt; 0 def)
% Number of atoms : 81 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 129 ( 129 !; 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,axiom,
! [P,Q] : and(P,Q) = not(or(not(P),not(Q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ theorem(implies(and(p,q),p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : axiom(implies(or(X0,X0),X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,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(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [Y] :
( ~ theorem(Y)
| ! [X] :
( ~ theorem(implies(Y,X))
| theorem(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
~ theorem(implies(and(p,q),p)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f734,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f735,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f736,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[status(thm)],[f734,f19]) ).
fof(f737,plain,
! [X0,X1] :
( ~ theorem(X1)
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f735,f19]) ).
fof(f751,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(backward_demodulation,[status(thm)],[f16,f20]) ).
fof(f776,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f790,plain,
! [X0,X1,X2] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(paramodulation,[status(thm)],[f751,f16]) ).
fof(f806,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f14,f17]) ).
fof(f815,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f823,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f776,f19]) ).
fof(f826,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f16,f776]) ).
fof(f827,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f16,f776]) ).
fof(f831,plain,
! [X0,X1] :
( ~ theorem(implies(X1,X0))
| theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f16,f823]) ).
fof(f880,plain,
! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f827,f19]) ).
fof(f896,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(resolution,[status(thm)],[f831,f735]) ).
fof(f944,plain,
! [X0,X1] : theorem(or(and(X0,X1),or(not(X1),not(X0)))),
inference(paramodulation,[status(thm)],[f790,f826]) ).
fof(f974,plain,
! [X0,X1] : theorem(or(and(X0,X1),implies(X1,not(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f944]) ).
fof(f983,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))),
inference(resolution,[status(thm)],[f896,f737]) ).
fof(f1109,plain,
! [X0,X1] : theorem(or(implies(X0,not(X1)),and(X1,X0))),
inference(resolution,[status(thm)],[f974,f823]) ).
fof(f1118,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f806,f19]) ).
fof(f1192,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f815,f19]) ).
fof(f4430,plain,
! [X0,X1,X2] : theorem(or(or(X0,X1),or(X2,not(X1)))),
inference(resolution,[status(thm)],[f1118,f983]) ).
fof(f4477,plain,
! [X0,X1,X2] : theorem(or(or(X0,not(X1)),or(X2,X1))),
inference(resolution,[status(thm)],[f4430,f823]) ).
fof(f4962,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,not(X2)),X2))),
inference(resolution,[status(thm)],[f4477,f1118]) ).
fof(f5151,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(resolution,[status(thm)],[f4962,f736]) ).
fof(f5169,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[status(thm)],[f5151,f823]) ).
fof(f5184,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[status(thm)],[f5169,f1118]) ).
fof(f5194,plain,
! [X0,X1] : theorem(or(X0,implies(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f16,f5169]) ).
fof(f5222,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[status(thm)],[f5184,f736]) ).
fof(f5247,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(paramodulation,[status(thm)],[f16,f5222]) ).
fof(f5614,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X0,not(not(X1))))),
inference(resolution,[status(thm)],[f1192,f5247]) ).
fof(f34439,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[f5614,f19]) ).
fof(f53049,plain,
! [X0,X1] : theorem(or(X0,not(not(implies(X1,not(X0)))))),
inference(resolution,[status(thm)],[f34439,f5194]) ).
fof(f53093,plain,
! [X0,X1] : theorem(or(X0,not(and(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f751,f53049]) ).
fof(f53099,plain,
! [X0,X1] : theorem(implies(and(X0,X1),X1)),
inference(resolution,[status(thm)],[f53093,f880]) ).
fof(f53156,plain,
! [X0,X1,X2] : theorem(implies(or(X0,and(X1,X2)),or(X0,X2))),
inference(resolution,[status(thm)],[f53099,f1192]) ).
fof(f61281,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,and(X2,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f53156,f19]) ).
fof(f63952,plain,
! [X0,X1] : theorem(or(implies(X0,not(X1)),X0)),
inference(resolution,[status(thm)],[f61281,f1109]) ).
fof(f64012,plain,
! [X0,X1] : theorem(or(X0,implies(X0,not(X1)))),
inference(resolution,[status(thm)],[f63952,f823]) ).
fof(f64069,plain,
! [X0,X1] : theorem(or(X0,not(not(implies(X0,not(X1)))))),
inference(resolution,[status(thm)],[f64012,f34439]) ).
fof(f64133,plain,
! [X0,X1] : theorem(or(X0,not(and(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f751,f64069]) ).
fof(f64136,plain,
! [X0,X1] : theorem(implies(and(X0,X1),X0)),
inference(resolution,[status(thm)],[f64133,f880]) ).
fof(f64191,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f21,f64136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL240-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 00:19:43 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 53.61/7.28 % Refutation found
% 53.61/7.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 53.61/7.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.68/8.58 % Elapsed time: 7.947812 seconds
% 25.68/8.58 % CPU time: 53.119950 seconds
% 25.68/8.58 % Total memory used: 479.564 MB
% 25.68/8.58 % Net memory used: 456.406 MB
%------------------------------------------------------------------------------