%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 07:54:32 AM UTC 2026
% Result : Theorem 13.78s 2.34s
% Output : CNFRefutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 34 ( 16 ~; 10 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm147,conjecture,
~ ( ? [X3] : ~ 'a$utruth'(implies(X3,X3))
& ! [X0,X1] : 'a$utruth'(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X0,X1,X2] : 'a$utruth'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : 'a$utruth'(implies(X0,implies(X1,X0)))
& ! [X0,X1] :
( 'a$utruth'(X1)
| ~ 'a$utruth'(X0)
| ~ 'a$utruth'(implies(X0,X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ( ? [X3] : ~ 'a$utruth'(implies(X3,X3))
& ! [X0,X1] : 'a$utruth'(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X0,X1,X2] : 'a$utruth'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X0,X1] : 'a$utruth'(implies(X0,implies(X1,X0)))
& ! [X0,X1] :
( 'a$utruth'(X1)
| ~ 'a$utruth'(X0)
| ~ 'a$utruth'(implies(X0,X1)) ) ),
inference(negate_conjecture,[status(cth)],[thm147]) ).
cnf(c0,plain,
( 'a$utruth'(X1)
| ~ 'a$utruth'(X0)
| ~ 'a$utruth'(implies(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
'a$utruth'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
'a$utruth'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ 'a$utruth'(implies(sK9,sK9)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'a$utruth'(implies(X0,implies(X1,X2)))
| 'a$utruth'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'a$utruth'(implies(X0,X1))
| 'a$utruth'(implies(X0,X2))
| ~ 'a$utruth'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'a$utruth'(implies(X0,X1))
| 'a$utruth'(implies(X0,X0)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'a$utruth'(implies(X0,X0)),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 22:26:08 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.78/2.34 % SZS status Theorem for theBenchmark.p
% 13.78/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------