%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN559-1 : 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 : n010.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 09:29:05 AM UTC 2026
% Result : Unsatisfiable 12.17s 3.15s
% Output : CNFRefutation 12.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 24 RR)
% Number of literals : 45 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p8_2,negated_conjecture,
p8(c13,c9) ).
cnf(p7_3,negated_conjecture,
p7(c10,c13) ).
cnf(p2_4,negated_conjecture,
p2(f6(c9,c13),c14) ).
cnf(p2_5,negated_conjecture,
p2(f5(c14,c10),c15) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c11),c12),c15) ).
cnf(p2_8,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(not_p8_14,negated_conjecture,
( ~ p2(f5(X1,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X0),X1)
| ~ p7(c10,X0)
| ~ p8(X0,c9) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p8(c13,c9),
inference(clausification,[status(esa)],[p8_2]) ).
cnf(c2,plain,
p7(c10,c13),
inference(clausification,[status(esa)],[p7_3]) ).
cnf(c3,plain,
p2(f6(c9,c13),c14),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p2(f5(c14,c10),c15),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
p2(f3(f4(c11),c12),c15),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c7,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_8]) ).
cnf(c13,plain,
( ~ p2(f5(X1,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X0),X1)
| ~ p7(c10,X0)
| ~ p8(X0,c9) ),
inference(clausification,[status(esa)],[not_p8_14]) ).
cnf(d0,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d1,plain,
p2(c15,f5(c14,c10)),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ p2(c15,X0)
| p2(X0,f5(c14,c10)) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( p2(f5(c14,c10),X0)
| ~ p2(c15,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ p7(c10,X0)
| ~ p8(X0,c9)
| ~ p2(f6(c9,X0),c14)
| ~ p2(c15,f3(f4(c11),c12)) ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
p2(c15,f3(f4(c11),c12)),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d6,plain,
( ~ p7(c10,X0)
| ~ p8(X0,c9)
| ~ p2(f6(c9,X0),c14) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ p7(c10,c13)
| ~ p8(c13,c9) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
~ p7(c10,c13),
inference(resolution,[status(thm)],[c1,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c2,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:14:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.17/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 12.17/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------