%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:06:45 PM UTC 2026
% Result : Unsatisfiable 14.40s 2.40s
% Output : CNFRefutation 14.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 19 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% 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(f3,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))) ),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f97,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f160,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[status(thm)],[f97,f11]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[status(thm)],[f97,f12]) ).
fof(f168,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f97,f10]) ).
fof(f221,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f168,f8]) ).
fof(f248,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[f221,f12]) ).
fof(f280,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),implies(X3,X2)))),
inference(resolution,[status(thm)],[f248,f221]) ).
fof(f424,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(implies(X0,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f160,f8]) ).
fof(f508,plain,
! [X0] : ~ is_a_theorem(implies(implies(implies(c,X0),implies(implies(a,b),X0)),implies(implies(c,a),implies(e,a)))),
inference(resolution,[status(thm)],[f161,f14]) ).
fof(f514,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[f161,f8]) ).
fof(f744,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f280,f8]) ).
fof(f1129,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[status(thm)],[f424,f10]) ).
fof(f1304,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f744,f8]) ).
fof(f2367,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f514,f11]) ).
fof(f2404,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f2367,f514]) ).
fof(f3466,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,implies(implies(X0,X2),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2404,f1304]) ).
fof(f3482,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f2404,f8]) ).
fof(f4650,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),X2)) ),
inference(resolution,[status(thm)],[f3482,f3466]) ).
fof(f6381,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4650,f8]) ).
fof(f8180,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f6381,f161]) ).
fof(f11721,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),implies(e,a))),
inference(resolution,[status(thm)],[f8180,f508]) ).
fof(f11820,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11721,f1129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.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 00:04:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 14.40/2.40 % Refutation found
% 14.40/2.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.40/2.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.72/2.44 % Elapsed time: 2.068126 seconds
% 0.72/2.44 % CPU time: 16.136679 seconds
% 0.72/2.44 % Total memory used: 203.656 MB
% 0.72/2.44 % Net memory used: 176.846 MB
%------------------------------------------------------------------------------