%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL089-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 01:06:46 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.57s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of formulae : 73 ( 46 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 8 ( 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 : 247 ( 247 !; 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,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(implies(implies(X5,X2),implies(X6,X2)),implies(X2,X3)),X4)))),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),X5),X6),implies(implies(implies(X7,implies(X2,X4)),X5),X6)))),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(resolution,[status(thm)],[f12,f5]) ).
fof(f19,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(resolution,[status(thm)],[f18,f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f19,f5]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f20,f5]) ).
fof(f29,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(resolution,[status(thm)],[f25,f12]) ).
fof(f35,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[f29,f8]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),X5),X6),implies(implies(implies(X7,implies(X2,X4)),X5),X6)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f14,f5]) ).
fof(f56,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[f28,f12]) ).
fof(f66,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f56,f5]) ).
fof(f80,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f35,f5]) ).
fof(f83,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(resolution,[status(thm)],[f80,f12]) ).
fof(f93,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f83,f18]) ).
fof(f100,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(resolution,[status(thm)],[f93,f8]) ).
fof(f102,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f93,f5]) ).
fof(f105,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f102,f12]) ).
fof(f116,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[status(thm)],[f105,f8]) ).
fof(f118,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
inference(resolution,[status(thm)],[f105,f66]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),X4),X5),implies(implies(implies(X6,implies(X1,X3)),X4),X5))),
inference(resolution,[status(thm)],[f39,f12]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f100,f5]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f116,f5]) ).
fof(f215,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f183,f12]) ).
fof(f237,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f215,f5]) ).
fof(f271,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3))))),
inference(resolution,[status(thm)],[f237,f6]) ).
fof(f287,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f237,f105]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))),
inference(resolution,[status(thm)],[f287,f8]) ).
fof(f357,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[status(thm)],[f197,f12]) ).
fof(f391,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
inference(resolution,[status(thm)],[f357,f8]) ).
fof(f393,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f357,f5]) ).
fof(f438,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f393,f357]) ).
fof(f458,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f438,f5]) ).
fof(f464,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(resolution,[status(thm)],[f438,f66]) ).
fof(f465,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f458,f130]) ).
fof(f499,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f465,f66]) ).
fof(f1066,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f289,f5]) ).
fof(f1156,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f391,f5]) ).
fof(f1568,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))),
inference(resolution,[status(thm)],[f1066,f130]) ).
fof(f2041,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[status(thm)],[f1156,f130]) ).
fof(f2121,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f2041,f5]) ).
fof(f2377,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),X2))),
inference(resolution,[status(thm)],[f2121,f1568]) ).
fof(f2378,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X2)),X3),X3))),
inference(resolution,[status(thm)],[f2121,f464]) ).
fof(f2379,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),X3))),
inference(resolution,[status(thm)],[f2121,f118]) ).
fof(f2382,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(resolution,[status(thm)],[f2121,f499]) ).
fof(f2383,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[status(thm)],[f2121,f357]) ).
fof(f2384,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
inference(resolution,[status(thm)],[f2121,f2041]) ).
fof(f2453,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2382,f5]) ).
fof(f2490,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f2453,f130]) ).
fof(f2579,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f2490,f5]) ).
fof(f2729,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[status(thm)],[f2579,f2383]) ).
fof(f2774,plain,
! [X0,X1] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f2729,f5]) ).
fof(f2859,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1)),
inference(resolution,[status(thm)],[f2377,f2774]) ).
fof(f2885,plain,
! [X0,X1,X2] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X1)) ),
inference(resolution,[status(thm)],[f2859,f5]) ).
fof(f2948,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),X2)),
inference(resolution,[status(thm)],[f2378,f2885]) ).
fof(f2988,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f2948,f5]) ).
fof(f3087,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(resolution,[status(thm)],[f2379,f2988]) ).
fof(f3129,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f3087,f5]) ).
fof(f3226,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f2384,f3129]) ).
fof(f3265,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f3226,f5]) ).
fof(f3293,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f3265,f271]) ).
fof(f3565,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7,f3293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL089-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 00:04:25 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.13/5.57 % Refutation found
% 0.13/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.59 % Elapsed time: 0.200038 seconds
% 0.13/5.59 % CPU time: 1.433805 seconds
% 0.13/5.59 % Total memory used: 84.657 MB
% 0.13/5.59 % Net memory used: 81.370 MB
%------------------------------------------------------------------------------