%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN653-1 : 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 : n003.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 09:29:16 AM UTC 2026
% Result : Unsatisfiable 18.31s 3.86s
% Output : CNFRefutation 18.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 47 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 117 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_9,negated_conjecture,
p12(X0,X0) ).
cnf(not_p12_10,negated_conjecture,
~ p12(f13(c22),f13(c23)) ).
cnf(p12_13,negated_conjecture,
( ~ p7(X0,X1)
| p12(f13(X0),f13(X1)) ) ).
cnf(p12_24,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)) ).
cnf(p7_32,negated_conjecture,
( ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p7(X0,X1) ) ).
cnf(p12_37,negated_conjecture,
( ~ p21(f11(X2,X3,X0,X6,X7,X4),X5)
| p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7))) ) ).
cnf(p3_48,negated_conjecture,
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ) ).
cnf(c8,plain,
p12(X0,X0),
inference(clausification,[status(esa)],[p12_9]) ).
cnf(c9,plain,
~ p12(f13(c22),f13(c23)),
inference(clausification,[status(esa)],[not_p12_10]) ).
cnf(c12,plain,
( ~ p7(X0,X1)
| p12(f13(X0),f13(X1)) ),
inference(clausification,[status(esa)],[p12_13]) ).
cnf(c23,plain,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_24]) ).
cnf(c26,plain,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(clausification,[status(esa)],[p21_27]) ).
cnf(c31,plain,
( ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p7(X0,X1) ),
inference(clausification,[status(esa)],[p7_32]) ).
cnf(c36,plain,
( ~ p21(f11(X2,X3,X0,X6,X7,X4),X5)
| p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7))) ),
inference(clausification,[status(esa)],[p12_37]) ).
cnf(c47,plain,
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
inference(clausification,[status(esa)],[p3_48]) ).
cnf(d0,plain,
( p7(X8,f17(X12,X0,X1,X5,f11(X6,X7,X8,X9,X10,X11),X2,X3,X4))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(resolution,[status(thm)],[c47,c31]) ).
cnf(d1,plain,
( ~ p12(X1,X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[c23,c8]) ).
cnf(d2,plain,
( ~ p7(X1,X0)
| p12(f13(X0),f13(X1)) ),
inference(resolution,[status(thm)],[d1,c12]) ).
cnf(d3,plain,
( ~ p12(f13(X1),X2)
| p12(X2,f13(X0))
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[d2,c23]) ).
cnf(d4,plain,
( p12(f13(f17(X7,X0,X1,X5,X6,X2,X3,X4)),f13(X2))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(resolution,[status(thm)],[c36,d1]) ).
cnf(d5,plain,
( p12(f13(X2),f13(X7))
| ~ p7(X7,f17(X8,X0,X1,X5,X6,X2,X3,X4))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p21(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| ~ p21(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p12(f13(X0),f13(X1)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
p12(f13(c22),f13(c23)),
inference(resolution,[status(thm)],[d6,c26]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c9,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 18:20:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.31/3.86 % SZS status Unsatisfiable for theBenchmark.p
% 18.31/3.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------