%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 10.06s 2.07s
% Output : CNFRefutation 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 6 nHn; 17 RR)
% Number of literals : 40 ( 0 equ; 13 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_3,negated_conjecture,
p5(f8(f6(X0)),X0) ).
cnf(not_p2_4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))) ).
cnf(not_p2_5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))) ).
cnf(not_p2_6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))) ).
cnf(p2_10,negated_conjecture,
( ~ p5(X0,X1)
| p2(f6(X0),f6(X1)) ) ).
cnf(not_p2_12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))) ).
cnf(p2_19,negated_conjecture,
( ~ p2(f6(f8(X0)),X0)
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f4(c10))) ) ).
cnf(c2,plain,
p5(f8(f6(X0)),X0),
inference(clausification,[status(esa)],[p5_3]) ).
cnf(c3,plain,
~ p2(f6(c9),f3(f4(c10))),
inference(clausification,[status(esa)],[not_p2_4]) ).
cnf(c4,plain,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(clausification,[status(esa)],[not_p2_5]) ).
cnf(c5,plain,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(clausification,[status(esa)],[not_p2_6]) ).
cnf(c9,plain,
( ~ p5(X0,X1)
| p2(f6(X0),f6(X1)) ),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c11,plain,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(clausification,[status(esa)],[not_p2_12]) ).
cnf(c18,plain,
( ~ p2(f6(f8(X0)),X0)
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f4(c10)))
| p2(X0,f3(f7(f7(f4(c10))))) ),
inference(clausification,[status(esa)],[p2_19]) ).
cnf(d0,plain,
( ~ p5(f8(f6(X0)),X0)
| p2(f6(X0),f3(f7(f7(f7(f4(c10))))))
| p2(f6(X0),f3(f7(f7(f4(c10)))))
| p2(f6(X0),f3(f7(f4(c10))))
| p2(f6(X0),f3(f4(c10))) ),
inference(resolution,[status(thm)],[c18,c9]) ).
cnf(d1,plain,
( p2(f6(X0),f3(f7(f7(f7(f4(c10))))))
| p2(f6(X0),f3(f7(f7(f4(c10)))))
| p2(f6(X0),f3(f7(f4(c10))))
| p2(f6(X0),f3(f4(c10))) ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f7(f4(c10))))
| p2(f6(c9),f3(f4(c10))) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
( p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f7(f4(c10)))) ),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(resolution,[status(thm)],[c4,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:15:39 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.06/2.07 % SZS status Unsatisfiable for theBenchmark.p
% 10.06/2.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------