%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL104-1 : 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 : n009.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 22.89s 5.47s
% Output : CNFRefutation 22.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 11 RR)
% Number of literals : 33 ( 0 equ; 12 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ) ).
cnf(p_4,axiom,
'is$ua$utheorem'(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))) ).
cnf(q_3,axiom,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)) ).
cnf(prove_p_1,negated_conjecture,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),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(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
inference(clausification,[status(esa)],[p_4]) ).
cnf(c2,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(clausification,[status(esa)],[q_3]) ).
cnf(c3,plain,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(clausification,[status(esa)],[prove_p_1]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X1)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d2,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3))),equivalent(X0,X3))),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X4))),equivalent(X1,X4)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d6,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3))),equivalent(equivalent(X4,X0),equivalent(X4,X3)))),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X4,X2),equivalent(X4,X3)))),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d9,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3)))),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X1)))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d11,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X5,X0),equivalent(X5,X1))))),
inference(resolution,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),equivalent(equivalent(X6,X1),equivalent(X6,X2)))),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n009.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 21:51:14 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.89/5.47 % SZS status Unsatisfiable for theBenchmark.p
% 22.89/5.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------