%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL982+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 : n010.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 07:55:47 AM UTC 2026
% Result : Theorem 4.93s 1.63s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 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 : 51 ( 10 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(condensed_detachment,axiom,
! [X0,X1] :
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
fof(a5,axiom,
! [X0,X1,X2,X3,X4] : 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))) ).
fof(prove_cn_1,conjecture,
! [X0,X1,X2] : 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] : 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(negate_conjecture,[status(cth)],[prove_cn_1]) ).
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(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))),
inference(clausification,[status(esa)],[a5]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(implies(implies(sK7,sK8),implies(implies(sK8,sK9),implies(sK7,sK9)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X4,X3))
| 'is$ua$utheorem'(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(implies(X3,implies(X2,X4)),implies(X1,implies(not(X2),not(X0)))))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X2))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( 'is$ua$utheorem'(implies(implies(X4,X3),X5))
| ~ 'is$ua$utheorem'(implies(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1)),X5)) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(implies(implies(X5,X4),implies(X0,implies(X5,X2))))
| ~ 'is$ua$utheorem'(implies(X0,implies(implies(X1,implies(X2,X3)),implies(X4,implies(not(X2),not(X5)))))) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+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
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 23:55:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.93/1.63 % SZS status Theorem for theBenchmark.p
% 4.93/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------