%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN557-1 : 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 : n001.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 19.98s 2.86s
% Output : CNFRefutation 19.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 18 RR)
% Number of literals : 39 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))) ).
cnf(p2_4,negated_conjecture,
p2(f3(X0,X1),f3(X1,X0)) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_8,negated_conjecture,
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ) ).
cnf(p2_9,negated_conjecture,
( ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X1)) ) ).
cnf(p2_10,negated_conjecture,
p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))) ).
cnf(p2_12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))) ).
cnf(c2,plain,
~ p2(c6,f3(c8,f5(c9))),
inference(clausification,[status(esa)],[not_p2_3]) ).
cnf(c3,plain,
p2(f3(X0,X1),f3(X1,X0)),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c5,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c7,plain,
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_8]) ).
cnf(c8,plain,
( ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X1)) ),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c9,plain,
p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c11,plain,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(d0,plain,
( ~ p2(f3(X0,X2),X3)
| p2(f3(X1,X2),X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( p2(f3(X1,X2),f3(X2,X0))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( p2(X1,X0)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( ~ p2(f3(X1,X0),X2)
| p2(f3(X0,X1),X2) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d4,plain,
( ~ p2(f3(X1,f3(X0,X2)),X3)
| p2(f3(X0,f3(X1,X2)),X3) ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d5,plain,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d6,plain,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(c6,f5(c7))),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7))),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
p2(f3(c8,f5(c9)),c6),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
p2(c6,f3(c8,f5(c9))),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c2,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 18:19:28 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.98/2.86 % SZS status Unsatisfiable for theBenchmark.p
% 19.98/2.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------