%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:06:37 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.77s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
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] : is_a_theorem(implies(falsehood,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),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(f9,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f2]) ).
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] : is_a_theorem(implies(falsehood,X0)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
inference(cnf_transformation,[status(thm)],[f6]) ).
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)],[f9,f8]) ).
fof(f16,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f17,plain,
! [X0,X1] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f21,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f22,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f24,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f21,f15]) ).
fof(f28,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f22,f11]) ).
fof(f31,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,falsehood)) ),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f28,f16]) ).
fof(f45,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),falsehood),X1)),
inference(resolution,[status(thm)],[f31,f11]) ).
fof(f51,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[status(thm)],[f45,f44]) ).
fof(f65,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),X1)),
inference(resolution,[status(thm)],[f24,f51]) ).
fof(f81,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(implies(falsehood,X1),X2))) ),
inference(resolution,[status(thm)],[f65,f22]) ).
fof(f92,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),
inference(resolution,[status(thm)],[f81,f9]) ).
fof(f153,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),X0)),
inference(resolution,[status(thm)],[f92,f28]) ).
fof(f280,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f13,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.58 % Computer : n008.cluster.edu
% 0.08/5.58 % Model : x86_64 x86_64
% 0.08/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.58 % Memory : 8046.5625MB
% 0.08/5.58 % OS : Linux 6.8.0-71-generic
% 0.08/5.58 % CPULimit : 300
% 0.08/5.58 % WCLimit : 300
% 0.08/5.58 % DateTime : Mon Sep 21 00:01:46 UTC 2026
% 0.08/5.59 % CPUTime :
% 0.08/5.60 % Drodi V4.1.1
% 0.14/5.77 % Refutation found
% 0.14/5.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.78 % Elapsed time: 0.190095 seconds
% 0.14/5.78 % CPU time: 1.293619 seconds
% 0.14/5.78 % Total memory used: 74.903 MB
% 0.14/5.78 % Net memory used: 71.107 MB
%------------------------------------------------------------------------------