%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 09:21:16 AM UTC 2026
% Result : Unsatisfiable 8.40s 1.72s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 38 ( 6 unt; 14 nHn; 35 RR)
% Number of literals : 89 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pel62_1,negated_conjecture,
'big$up'(a) ).
cnf(pel62_2,negated_conjecture,
( ~ 'big$up'(a)
| 'big$up'(X0)
| 'big$up'(f(f(X0))) ) ).
cnf(pel62_3,negated_conjecture,
( ~ 'big$up'(a)
| ~ 'big$up'(f(X0))
| 'big$up'(f(f(X0))) ) ).
cnf(pel62_4,negated_conjecture,
( ~ 'big$up'(f(f(sk2)))
| ~ 'big$up'(f(f(sk1))) ) ).
cnf(pel62_5,negated_conjecture,
( ~ 'big$up'(sk2)
| ~ 'big$up'(sk1)
| 'big$up'(f(sk2))
| 'big$up'(f(sk1)) ) ).
cnf(pel62_6,negated_conjecture,
( ~ 'big$up'(f(f(sk2)))
| ~ 'big$up'(sk1)
| 'big$up'(f(sk1)) ) ).
cnf(pel62_7,negated_conjecture,
( ~ 'big$up'(f(f(sk1)))
| ~ 'big$up'(sk2)
| 'big$up'(f(sk2)) ) ).
cnf(c0,plain,
'big$up'(a),
inference(clausification,[status(esa)],[pel62_1]) ).
cnf(c1,plain,
( ~ 'big$up'(a)
| 'big$up'(X0)
| 'big$up'(f(f(X0))) ),
inference(clausification,[status(esa)],[pel62_2]) ).
cnf(c2,plain,
( ~ 'big$up'(a)
| ~ 'big$up'(f(X0))
| 'big$up'(f(f(X0))) ),
inference(clausification,[status(esa)],[pel62_3]) ).
cnf(c3,plain,
( ~ 'big$up'(f(f(sk2)))
| ~ 'big$up'(f(f(sk1))) ),
inference(clausification,[status(esa)],[pel62_4]) ).
cnf(c4,plain,
( ~ 'big$up'(sk2)
| ~ 'big$up'(sk1)
| 'big$up'(f(sk2))
| 'big$up'(f(sk1)) ),
inference(clausification,[status(esa)],[pel62_5]) ).
cnf(c5,plain,
( ~ 'big$up'(f(f(sk2)))
| ~ 'big$up'(sk1)
| 'big$up'(f(sk1)) ),
inference(clausification,[status(esa)],[pel62_6]) ).
cnf(c6,plain,
( ~ 'big$up'(f(f(sk1)))
| ~ 'big$up'(sk2)
| 'big$up'(f(sk2)) ),
inference(clausification,[status(esa)],[pel62_7]) ).
cnf(d0,plain,
( 'big$up'(f(f(X0)))
| ~ 'big$up'(f(X0)) ),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
( ~ 'big$up'(f(sk2))
| ~ 'big$up'(sk1)
| 'big$up'(f(sk1)) ),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
( 'big$up'(f(f(X0)))
| 'big$up'(X0) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d3,plain,
( 'big$up'(sk1)
| ~ 'big$up'(f(f(sk2))) ),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
( ~ 'big$up'(f(sk2))
| 'big$up'(sk1) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( 'big$up'(sk1)
| ~ 'big$up'(sk2)
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d6,plain,
( 'big$up'(sk1)
| 'big$up'(sk1)
| ~ 'big$up'(sk2) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( 'big$up'(sk2)
| 'big$up'(sk1) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d8,plain,
( 'big$up'(sk2)
| ~ 'big$up'(sk1)
| 'big$up'(f(sk1)) ),
inference(resolution,[status(thm)],[c5,d2]) ).
cnf(d9,plain,
( ~ 'big$up'(f(f(sk2)))
| ~ 'big$up'(f(sk1)) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d10,plain,
( 'big$up'(sk2)
| ~ 'big$up'(f(sk1)) ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( ~ 'big$up'(sk1)
| 'big$up'(sk2)
| 'big$up'(sk2) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( 'big$up'(sk2)
| 'big$up'(sk2) ),
inference(resolution,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
'big$up'(sk1),
inference(resolution,[status(thm)],[d12,d6]) ).
cnf(d14,plain,
( 'big$up'(f(sk1))
| ~ 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( ~ 'big$up'(f(sk1))
| ~ 'big$up'(sk2)
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d16,plain,
( ~ 'big$up'(f(sk1))
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[d12,d15]) ).
cnf(d17,plain,
( ~ 'big$up'(sk1)
| 'big$up'(f(sk1))
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[d12,c4]) ).
cnf(d18,plain,
( 'big$up'(f(sk1))
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[d13,d17]) ).
cnf(d19,plain,
( 'big$up'(f(sk2))
| 'big$up'(f(sk2)) ),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
'big$up'(f(sk1)),
inference(resolution,[status(thm)],[d19,d14]) ).
cnf(d21,plain,
( ~ 'big$up'(f(sk2))
| ~ 'big$up'(f(sk1)) ),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d22,plain,
~ 'big$up'(f(sk1)),
inference(resolution,[status(thm)],[d19,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[d22,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.51 % Computer : n015.cluster.edu
% 0.11/0.51 % Model : x86_64 x86_64
% 0.11/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.51 % Memory : 8046.5625MB
% 0.11/0.51 % OS : Linux 6.8.0-71-generic
% 0.11/0.51 % CPULimit : 300
% 0.11/0.51 % WCLimit : 300
% 0.11/0.51 % DateTime : Sat Sep 26 17:13:44 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.40/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.40/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------