%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN561-1 : 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 : n014.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 11.00s 2.88s
% Output : CNFRefutation 11.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(c14,c10) ).
cnf(p8_3,negated_conjecture,
p8(c11,c14) ).
cnf(p2_4,negated_conjecture,
p2(f7(c10,c14),c15) ).
cnf(p2_5,negated_conjecture,
p2(f6(c15,c11),c16) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16) ).
cnf(p2_9,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(not_p9_15,negated_conjecture,
( ~ p2(f6(X1,c11),f3(f4(f5(c12)),c13))
| ~ p2(f7(c10,X0),X1)
| ~ p8(c11,X0)
| ~ p9(X0,c10) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p9(c14,c10),
inference(clausification,[status(esa)],[p9_2]) ).
cnf(c2,plain,
p8(c11,c14),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c3,plain,
p2(f7(c10,c14),c15),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p2(f6(c15,c11),c16),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
p2(f3(f4(f5(c12)),c13),c16),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c8,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c14,plain,
( ~ p2(f6(X1,c11),f3(f4(f5(c12)),c13))
| ~ p2(f7(c10,X0),X1)
| ~ p8(c11,X0)
| ~ p9(X0,c10) ),
inference(clausification,[status(esa)],[not_p9_15]) ).
cnf(d0,plain,
( ~ p2(f6(c15,c11),X0)
| p2(c16,X0) ),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
p2(c16,f6(c15,c11)),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ p2(c16,X0)
| p2(f6(c15,c11),X0) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
( ~ p8(c11,X0)
| ~ p9(X0,c10)
| ~ p2(f7(c10,X0),c15)
| ~ p2(c16,f3(f4(f5(c12)),c13)) ),
inference(resolution,[status(thm)],[d2,c14]) ).
cnf(d4,plain,
( ~ p2(f3(f4(f5(c12)),c13),X0)
| p2(c16,X0) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d5,plain,
p2(c16,f3(f4(f5(c12)),c13)),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ p8(c11,X0)
| ~ p9(X0,c10)
| ~ p2(f7(c10,X0),c15) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ p8(c11,c14)
| ~ p9(c14,c10) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
~ p8(c11,c14),
inference(resolution,[status(thm)],[c1,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c2,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:13:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.00/2.88 % SZS status Unsatisfiable for theBenchmark.p
% 11.00/2.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------