%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 01:06:51 PM UTC 2026
% Result : Unsatisfiable 42.73s 5.95s
% Output : CNFRefutation 42.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 28 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 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,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),b),implies(not(b),a))),
file('/export/starexec/sandbox2/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(f9,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
~ is_a_theorem(implies(implies(not(a),b),implies(not(b),a))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f8,f9]) ).
fof(f15,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f18,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f19,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f20,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f21,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),
inference(resolution,[status(thm)],[f12,f14]) ).
fof(f24,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))),
inference(resolution,[status(thm)],[f15,f12]) ).
fof(f26,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)],[f15,f10]) ).
fof(f28,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f15,f9]) ).
fof(f35,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f28,f8]) ).
fof(f41,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2),X2)),
inference(resolution,[status(thm)],[f19,f18]) ).
fof(f49,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2),X2)),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f54,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(not(X1),not(X0)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f24,f8]) ).
fof(f56,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f35,f12]) ).
fof(f59,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f35,f11]) ).
fof(f74,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)],[f26,f8]) ).
fof(f104,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[status(thm)],[f56,f15]) ).
fof(f127,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f59,f8]) ).
fof(f166,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(not(X0),not(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))),X0)),
inference(resolution,[status(thm)],[f54,f41]) ).
fof(f334,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f74,f49]) ).
fof(f3602,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),not(X2)))) ),
inference(resolution,[status(thm)],[f334,f8]) ).
fof(f3632,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f104,f8]) ).
fof(f7849,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[f3632,f166]) ).
fof(f8304,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[f7849,f20]) ).
fof(f8614,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)),
inference(resolution,[status(thm)],[f8304,f127]) ).
fof(f14961,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[status(thm)],[f8614,f74]) ).
fof(f71670,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
inference(resolution,[status(thm)],[f3602,f14961]) ).
fof(f72261,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f13,f71670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.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 00:05:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 42.73/5.95 % Refutation found
% 42.73/5.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.73/5.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 42.73/6.03 % Elapsed time: 5.644375 seconds
% 42.73/6.03 % CPU time: 44.066983 seconds
% 42.73/6.03 % Total memory used: 291.639 MB
% 42.73/6.03 % Net memory used: 239.755 MB
%------------------------------------------------------------------------------