%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN657-1 : 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 09:29:17 AM UTC 2026
% Result : Unsatisfiable 3.11s 4.22s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 12 unt; 7 nHn; 19 RR)
% Number of literals : 46 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 35 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_3,negated_conjecture,
p6(X0,X0) ).
cnf(not_p6_11,negated_conjecture,
~ p6(c28,f10(c33)) ).
cnf(p6_15,negated_conjecture,
p6(f21(f8(X0,f9(X1,X2))),X1) ).
cnf(p6_25,negated_conjecture,
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ) ).
cnf(not_p4_44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ).
cnf(p24_45,negated_conjecture,
( ~ p25(X0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,X0))) ) ).
cnf(p6_48,negated_conjecture,
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33)) ) ).
cnf(p6_49,negated_conjecture,
( ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2))))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33)) ) ).
cnf(c2,plain,
p6(X0,X0),
inference(clausification,[status(esa)],[p6_3]) ).
cnf(c10,plain,
~ p6(c28,f10(c33)),
inference(clausification,[status(esa)],[not_p6_11]) ).
cnf(c14,plain,
p6(f21(f8(X0,f9(X1,X2))),X1),
inference(clausification,[status(esa)],[p6_15]) ).
cnf(c24,plain,
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
inference(clausification,[status(esa)],[p6_25]) ).
cnf(c43,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(clausification,[status(esa)],[not_p4_44]) ).
cnf(c44,plain,
( ~ p25(X0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,X0))) ),
inference(clausification,[status(esa)],[p24_45]) ).
cnf(c47,plain,
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33)) ),
inference(clausification,[status(esa)],[p6_48]) ).
cnf(c48,plain,
( ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2))))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33)) ),
inference(clausification,[status(esa)],[p6_49]) ).
cnf(d0,plain,
( ~ p6(X1,X0)
| p6(X0,X1) ),
inference(resolution,[status(thm)],[c24,c2]) ).
cnf(d1,plain,
( ~ p6(f21(f8(X2,f9(X1,X3))),X0)
| p6(X0,X1) ),
inference(resolution,[status(thm)],[c24,c14]) ).
cnf(d2,plain,
( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[status(thm)],[c47,c43]) ).
cnf(d3,plain,
( ~ p25(f22(X0,c31,c34),f18(f8(c27,f9(c28,c29))))
| p4(f5(X0,c36,c31),f5(X0,c36,c34))
| p6(f21(X0),f10(c33)) ),
inference(resolution,[status(thm)],[c48,c44]) ).
cnf(d4,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
inference(resolution,[status(thm)],[c43,d4]) ).
cnf(d6,plain,
p6(f10(c33),c28),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
p6(c28,f10(c33)),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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 18:14:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/4.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.11/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------