%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN666-1 : 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 : n017.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 09:29:18 AM UTC 2026
% Result : Unsatisfiable 12.10s 2.09s
% Output : CNFRefutation 12.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 52 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_7,negated_conjecture,
p2(X0,X0) ).
cnf(p25_12,negated_conjecture,
p25(c33,c36) ).
cnf(p25_14,negated_conjecture,
p25(c32,c33) ).
cnf(not_p2_18,negated_conjecture,
~ p2(X0,f18(X0,f9(f17(c31)))) ).
cnf(p2_30,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_38,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ).
cnf(p2_48,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f18(X0,X1),f18(X2,X3)) ) ).
cnf(p2_50,negated_conjecture,
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ) ).
cnf(c6,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c11,plain,
p25(c33,c36),
inference(clausification,[status(esa)],[p25_12]) ).
cnf(c13,plain,
p25(c32,c33),
inference(clausification,[status(esa)],[p25_14]) ).
cnf(c17,plain,
~ p2(X0,f18(X0,f9(f17(c31)))),
inference(clausification,[status(esa)],[not_p2_18]) ).
cnf(c29,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_30]) ).
cnf(c37,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(clausification,[status(esa)],[p2_38]) ).
cnf(c47,plain,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f18(X0,X1),f18(X2,X3)) ),
inference(clausification,[status(esa)],[p2_48]) ).
cnf(c49,plain,
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(clausification,[status(esa)],[p2_50]) ).
cnf(d0,plain,
( ~ p2(f11(f4(c32),c34),X0)
| p2(f18(f11(f4(c33),c34),f9(f17(c31))),X0) ),
inference(resolution,[status(thm)],[c37,c29]) ).
cnf(d1,plain,
( ~ p2(f18(X2,X0),X4)
| p2(f18(X3,X1),X4)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c47,c29]) ).
cnf(d2,plain,
( p2(f18(X1,X3),f18(X0,X2))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( ~ p2(f18(X1,X0),X1)
| ~ p2(f9(f17(c31)),X0) ),
inference(resolution,[status(thm)],[d2,c17]) ).
cnf(d4,plain,
~ p2(f18(X0,f9(f17(c31))),X0),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ p2(f11(f4(X0),c34),X1)
| p2(f11(f4(c32),c34),X1)
| ~ p25(c32,X0)
| ~ p25(X0,c36) ),
inference(resolution,[status(thm)],[c49,c29]) ).
cnf(d7,plain,
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(c32),c34),f11(f4(X0),c34)) ),
inference(resolution,[status(thm)],[d6,c6]) ).
cnf(d8,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
~ p25(c32,c33),
inference(resolution,[status(thm)],[c11,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c13,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN666-1 : 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 : n017.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 18:14:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 12.10/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------