%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 29.80s 6.96s
% Output : CNFRefutation 29.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 16 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ) ).
cnf(lg_2,axiom,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)) ).
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(lg_4,axiom,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))) ).
cnf(prove_lg_1,negated_conjecture,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(equivalent(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(clausification,[status(esa)],[lg_2]) ).
cnf(c2,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(c3,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
inference(clausification,[status(esa)],[lg_4]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(clausification,[status(esa)],[prove_lg_1]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d4,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),X5),equivalent(equivalent(equivalent(X2,X3),X4),X5)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d6,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,X5)),equivalent(equivalent(equivalent(X2,X3),X4),X5))),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d8,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))),X5),X5),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 21:46:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.80/6.96 % SZS status Unsatisfiable for theBenchmark.p
% 29.80/6.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------