%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:06:43 PM UTC 2026
% Result : Unsatisfiable 116.78s 15.17s
% Output : CNFRefutation 51.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 21 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 6 ( 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 : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z,U] : is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f18,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f15,f12]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X2),implies(implies(X0,X3),X2)))),
inference(resolution,[status(thm)],[f17,f9]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f24,f7]) ).
fof(f148,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(resolution,[status(thm)],[f58,f8]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))),
inference(resolution,[status(thm)],[f58,f15]) ).
fof(f778,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f148,f7]) ).
fof(f809,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(X2,X0),implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f155,f7]) ).
fof(f1702,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3))),
inference(resolution,[status(thm)],[f778,f8]) ).
fof(f2129,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f1702,f7]) ).
fof(f2379,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f2129,f8]) ).
fof(f2502,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[status(thm)],[f2379,f58]) ).
fof(f3860,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f2502,f7]) ).
fof(f4459,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f3860,f18]) ).
fof(f6507,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[f809,f4459]) ).
fof(f31335,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f6507,f7]) ).
fof(f46094,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[f31335,f4459]) ).
fof(f48007,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f46094,f809]) ).
fof(f102793,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f11,f48007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:03:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.02/0.36 % Drodi V4.1.1
% 116.78/15.17 % Refutation found
% 116.78/15.17 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 116.78/15.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 51.33/15.30 % Elapsed time: 14.925680 seconds
% 51.33/15.30 % CPU time: 117.774939 seconds
% 51.33/15.30 % Total memory used: 604.057 MB
% 51.33/15.30 % Net memory used: 517.769 MB
%------------------------------------------------------------------------------