%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 07:54:23 AM UTC 2026
% Result : Theorem 11.94s 1.99s
% Output : CNFRefutation 11.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 15 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 4 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(condensed_detachment,axiom,
! [X0,X1] :
( ( 'is$ua$utheorem'(X0)
& 'is$ua$utheorem'(implies(X0,X1)) )
=> 'is$ua$utheorem'(X1) ) ).
fof(cn_1,axiom,
! [X0,X1,X2] : 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
fof(cn_2,axiom,
! [X0] : 'is$ua$utheorem'(implies(implies(not(X0),X0),X0)) ).
fof(cn_3,axiom,
! [X0,X1] : 'is$ua$utheorem'(implies(X0,implies(not(X0),X1))) ).
fof(prove_cn_14,conjecture,
'is$ua$utheorem'(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))) ).
fof(negated_conjecture,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))),
inference(negate_conjecture,[status(cth)],[prove_cn_14]) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[cn_1]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(not(X0),X0),X0)),
inference(clausification,[status(esa)],[cn_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(clausification,[status(esa)],[cn_3]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(X0,X3))
| 'is$ua$utheorem'(implies(implies(X3,X1),X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(implies(implies(X1,X0),X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( 'is$ua$utheorem'(implies(X1,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
~ 'is$ua$utheorem'(implies(implies(not(z),y),implies(x,implies(implies(y,z),z)))),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d9,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(X2,implies(X1,X3)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( 'is$ua$utheorem'(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),X3))) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
~ 'is$ua$utheorem'(implies(x,implies(implies(not(z),z),z))),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
~ 'is$ua$utheorem'(implies(implies(not(z),z),z)),
inference(resolution,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c2,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 22:19:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.94/1.99 % SZS status Theorem for theBenchmark.p
% 11.94/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------