%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:09:11 PM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 69 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C,D,E] : is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
? [A,B,C] : ~ is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
~ is_a_theorem(implies(implies(sK0_skl,sK1_skl),implies(implies(sK1_skl,sK2_skl),implies(sK0_skl,sK2_skl)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f8]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(sK0_skl,sK1_skl),implies(implies(sK1_skl,sK2_skl),implies(sK0_skl,sK2_skl)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6))))),implies(implies(X7,X6),X1))),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X4),X5),implies(not(X1),not(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))))))),implies(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))),X1))),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(implies(X7,X6),X1))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6)))))) ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1)),X5),implies(implies(X4,X3),X5))),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(implies(X4,X3),X5))
| ~ is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1)),X5)) ),
inference(resolution,[status(thm)],[f18,f6]) ).
fof(f23,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f29,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 01:15:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.33 % Elapsed time: 0.031490 seconds
% 0.08/0.33 % CPU time: 0.078920 seconds
% 0.08/0.33 % Total memory used: 55.954 MB
% 0.08/0.33 % Net memory used: 55.388 MB
%------------------------------------------------------------------------------