%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 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 07:53:45 AM UTC 2026
% Result : Unsatisfiable 16.09s 2.81s
% Output : CNFRefutation 16.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ) ).
cnf(lg_3,axiom,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)) ).
cnf(prove_lg_4,negated_conjecture,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(clausification,[status(esa)],[lg_3]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(clausification,[status(esa)],[prove_lg_4]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(equivalent(X3,X4))
| 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X4))) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X4,X2),equivalent(X4,X3)),X0))
| 'is$ua$utheorem'(equivalent(equivalent(X2,X3),X1))
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(equivalent(equivalent(X4,X5),X6))
| ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X3,X4)),equivalent(equivalent(X1,X2),equivalent(X3,X5))),X6)) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.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 21:51:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.09/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 16.09/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------