%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL416-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 07:54:33 AM UTC 2026
% Result : Unsatisfiable 16.62s 12.52s
% Output : CNFRefutation 16.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 27 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 61 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ) ).
cnf(xcb,axiom,
'is$ua$utheorem'(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))) ).
cnf(prove_reflexivity,negated_conjecture,
~ 'is$ua$utheorem'(equivalent(a,a)) ).
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(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))),
inference(clausification,[status(esa)],[xcb]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(equivalent(a,a)),
inference(clausification,[status(esa)],[prove_reflexivity]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X2))) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(X0,X1),X2))
| 'is$ua$utheorem'(equivalent(X1,X2))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(equivalent(equivalent(X2,X1),X2))
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),X3)),X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
( 'is$ua$utheorem'(equivalent(equivalent(X4,X1),X4))
| ~ 'is$ua$utheorem'(equivalent(X1,equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),X3)))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( 'is$ua$utheorem'(equivalent(equivalent(X1,X0),X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(equivalent(X1,X0))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X1,X2))
| 'is$ua$utheorem'(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(equivalent(X1,equivalent(X2,X1)))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(X0,X1))) ),
inference(resolution,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
'is$ua$utheorem'(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
( ~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(equivalent(X1,equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),X3)))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d15,plain,
( ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X3)) ),
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(equivalent(X1,equivalent(equivalent(X0,X2),X2)))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(equivalent(equivalent(X0,X1),X1)) ),
inference(resolution,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
( 'is$ua$utheorem'(equivalent(X1,X1))
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
'is$ua$utheorem'(equivalent(X0,X0)),
inference(resolution,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL416-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n006.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Fri Sep 25 22:28:50 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.62/12.52 % SZS status Unsatisfiable for theBenchmark.p
% 16.62/12.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------