%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL042-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 54.55s 7.66s
% Output : CNFRefutation 56.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 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 : 65 ( 65 !; 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(f2,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(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,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,Z,X] : is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox/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(not(X0),X1))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,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)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f22,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f47,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X2,implies(implies(X2,X0),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f22,f21]) ).
fof(f49,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f22,f9]) ).
fof(f54,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f10,f21]) ).
fof(f86,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f89,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f86,f9]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(X0),X2))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f89,f26]) ).
fof(f143,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f49,f54]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X0),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f122,f47]) ).
fof(f590,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[f143,f12]) ).
fof(f9959,plain,
( ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))
| ~ is_a_theorem(implies(not(a),implies(implies(a,b),implies(a,c)))) ),
inference(resolution,[status(thm)],[f514,f15]) ).
fof(f10045,plain,
~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))),
inference(forward_subsumption_resolution,[status(thm)],[f9959,f590]) ).
fof(f10860,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10045,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL042-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:05:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 54.55/7.66 % Refutation found
% 54.55/7.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 54.55/7.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.87/7.75 % Elapsed time: 7.370553 seconds
% 5.87/7.75 % CPU time: 57.711816 seconds
% 5.87/7.75 % Total memory used: 391.952 MB
% 5.87/7.75 % Net memory used: 325.736 MB
%------------------------------------------------------------------------------