%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN625-1 : 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 09:29:13 AM UTC 2026
% Result : Unsatisfiable 24.26s 5.85s
% Output : CNFRefutation 24.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 12 unt; 11 nHn; 28 RR)
% Number of literals : 56 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 48 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c21_is_p15_1,negated_conjecture,
p15(c21) ).
cnf(f4_is_not_p15_8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)) ).
cnf(not_p15_10,negated_conjecture,
( ~ p18(f9(X0),X1,X1)
| ~ p15(X0) ) ).
cnf(p15_15,negated_conjecture,
( p18(f9(X0),f14(X0),f14(X0))
| p15(X0) ) ).
cnf(not_p17_16,negated_conjecture,
( ~ p16(f9(c21),X0,c19)
| ~ p17(X0,f11(c20)) ) ).
cnf(p16_23,negated_conjecture,
( ~ p16(X0,X3,X2)
| ~ p16(X0,X1,X3)
| p16(X0,X1,X2) ) ).
cnf(p16_32,negated_conjecture,
( ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3)
| p18(f9(X0),X1,X3)
| p16(f9(X0),X1,X2) ) ).
cnf(p18_33,negated_conjecture,
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p17(f12(X0,X3,X4,X1,X2),f11(X4))
| p18(f9(X0),X1,X2) ) ).
cnf(p18_34,negated_conjecture,
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| p18(f9(X0),X1,X2) ) ).
cnf(c0,plain,
p15(c21),
inference(clausification,[status(esa)],[c21_is_p15_1]) ).
cnf(c7,plain,
~ p15(f4(f7(c19,c20),c21)),
inference(clausification,[status(esa)],[f4_is_not_p15_8]) ).
cnf(c9,plain,
( ~ p18(f9(X0),X1,X1)
| ~ p15(X0) ),
inference(clausification,[status(esa)],[not_p15_10]) ).
cnf(c14,plain,
( p18(f9(X0),f14(X0),f14(X0))
| p15(X0) ),
inference(clausification,[status(esa)],[p15_15]) ).
cnf(c15,plain,
( ~ p16(f9(c21),X0,c19)
| ~ p17(X0,f11(c20)) ),
inference(clausification,[status(esa)],[not_p17_16]) ).
cnf(c22,plain,
( ~ p16(X0,X2,X3)
| p16(X0,X1,X3)
| ~ p16(X0,X1,X2) ),
inference(clausification,[status(esa)],[p16_23]) ).
cnf(c31,plain,
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),X1,X3)
| p18(f9(X0),X1,X2) ),
inference(clausification,[status(esa)],[p16_32]) ).
cnf(c32,plain,
( ~ p18(f9(f4(f7(X1,X2),X0)),X3,X4)
| p18(f9(X0),X3,X4)
| p17(f12(X0,X1,X2,X3,X4),f11(X2)) ),
inference(clausification,[status(esa)],[p18_33]) ).
cnf(c33,plain,
( ~ p18(f9(f4(f7(X1,X2),X0)),X3,X4)
| p18(f9(X0),X3,X4)
| p16(f9(X0),f12(X0,X1,X2,X3,X4),X4) ),
inference(clausification,[status(esa)],[p18_34]) ).
cnf(d0,plain,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(resolution,[status(thm)],[c14,c7]) ).
cnf(d1,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[status(thm)],[d0,c33]) ).
cnf(d2,plain,
~ p18(f9(c21),X0,X0),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d3,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
inference(resolution,[status(thm)],[d0,c31]) ).
cnf(d5,plain,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(resolution,[status(thm)],[d2,d4]) ).
cnf(d6,plain,
( ~ p16(f9(c21),X0,f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),X0,c19) ),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d7,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
~ p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
inference(resolution,[status(thm)],[d7,c15]) ).
cnf(d9,plain,
( p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[status(thm)],[d0,c32]) ).
cnf(d10,plain,
p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
inference(resolution,[status(thm)],[d2,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 18:12:34 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.26/5.85 % SZS status Unsatisfiable for theBenchmark.p
% 24.26/5.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------