%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:06:39 PM UTC 2026
% Result : Unsatisfiable 46.72s 16.58s
% Output : CNFRefutation 46.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 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] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f10,f9]) ).
fof(f17,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f20,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f11,f9]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f22,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f20,f16]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X0,X4))
| ~ is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))),X4))) ),
inference(resolution,[status(thm)],[f22,f21]) ).
fof(f30,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f22,f10]) ).
fof(f109,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f30,f23]) ).
fof(f143,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f30,f17]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X0)),X3))) ),
inference(resolution,[status(thm)],[f143,f22]) ).
fof(f1209,plain,
~ is_a_theorem(implies(b,implies(implies(a,implies(b,c)),implies(a,c)))),
inference(resolution,[status(thm)],[f136,f15]) ).
fof(f3092,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))),
inference(resolution,[status(thm)],[f233,f109]) ).
fof(f3133,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1209,f3092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/10.57 % Computer : n014.cluster.edu
% 0.13/10.57 % Model : x86_64 x86_64
% 0.13/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.57 % Memory : 8046.5625MB
% 0.13/10.57 % OS : Linux 6.8.0-71-generic
% 0.13/10.57 % CPULimit : 300
% 0.13/10.57 % WCLimit : 300
% 0.13/10.57 % DateTime : Mon Sep 21 00:01:32 UTC 2026
% 0.13/10.58 % CPUTime :
% 0.13/10.59 % Drodi V4.1.1
% 46.72/16.58 % Refutation found
% 46.72/16.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.72/16.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.65/16.67 % Elapsed time: 6.061872 seconds
% 13.65/16.67 % CPU time: 47.673520 seconds
% 13.65/16.67 % Total memory used: 398.967 MB
% 13.65/16.67 % Net memory used: 340.272 MB
%------------------------------------------------------------------------------