%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN553-1 : 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 09:29:04 AM UTC 2026
% Result : Unsatisfiable 16.94s 3.16s
% Output : CNFRefutation 16.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 37 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p2_5,negated_conjecture,
p2(f8(X0,X1),f8(X1,X0)) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X0,X2)
| p2(X0,X1) ) ).
cnf(p2_7,negated_conjecture,
p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)) ).
cnf(p2_8,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f8(X0,X1),f8(X2,X3)) ) ).
cnf(not_p2_9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c4,plain,
p2(f8(X0,X1),f8(X1,X0)),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
( ~ p2(X2,X1)
| ~ p2(X0,X2)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c6,plain,
p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c7,plain,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f8(X0,X1),f8(X2,X3)) ),
inference(clausification,[status(esa)],[p2_8]) ).
cnf(c8,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
inference(clausification,[status(esa)],[not_p2_9]) ).
cnf(d0,plain,
( p2(f8(X1,X0),X2)
| ~ p2(f8(X0,X1),X2) ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d1,plain,
( p2(f8(X0,f8(X1,X2)),X3)
| ~ p2(f8(f8(X0,X1),X2),X3) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
p2(f8(X0,f8(X1,X2)),f8(X2,f8(X0,X1))),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
p2(f8(f8(X0,X1),X2),f8(X1,f8(X2,X0))),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( p2(f8(X2,X0),X4)
| ~ p2(f8(X3,X1),X4)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d5,plain,
( p2(f8(X0,X3),f8(X2,f8(X4,X1)))
| ~ p2(X3,X4)
| ~ p2(X0,f8(X1,X2)) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p2(f8(f9(c4),c4),f8(c4,f9(c4)))
| ~ p2(f9(c3),f9(c3)) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
~ p2(f8(f9(c4),c4),f8(c4,f9(c4))),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c4,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:15:09 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.94/3.16 % SZS status Unsatisfiable for theBenchmark.p
% 16.94/3.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------