%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 9.62s 1.69s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 27 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_2,negated_conjecture,
p4(X0,X0) ).
cnf(p4_4,negated_conjecture,
p4(f5(c7,c10,c9),c9) ).
cnf(not_p4_5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8) ).
cnf(p4_6,negated_conjecture,
p4(f5(c7,X0,c8),f5(c7,X0,c9)) ).
cnf(p4_8,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p4_12,negated_conjecture,
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ) ).
cnf(c1,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_2]) ).
cnf(c3,plain,
p4(f5(c7,c10,c9),c9),
inference(clausification,[status(esa)],[p4_4]) ).
cnf(c4,plain,
~ p4(f5(c7,c10,c8),c8),
inference(clausification,[status(esa)],[not_p4_5]) ).
cnf(c5,plain,
p4(f5(c7,X0,c8),f5(c7,X0,c9)),
inference(clausification,[status(esa)],[p4_6]) ).
cnf(c7,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_8]) ).
cnf(c11,plain,
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
inference(clausification,[status(esa)],[p4_12]) ).
cnf(d0,plain,
( ~ p4(X1,X0)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d1,plain,
p4(f5(c7,X0,c9),f5(c7,X0,c8)),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( ~ p4(f5(c7,X0,c9),c9)
| p4(f5(c7,X0,c8),c8) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
p4(f5(c7,c10,c8),c8),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:13:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 9.62/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------