%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN655-1 : 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 : n004.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 7.93s 4.52s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 51 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 126 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p9_2,negated_conjecture,
p9(X0,X0) ).
cnf(p3_7,negated_conjecture,
p3(X0,X0) ).
cnf(not_p9_10,negated_conjecture,
~ p9(c22,c23) ).
cnf(p9_17,negated_conjecture,
( ~ p9(X2,X1)
| ~ p9(X2,X0)
| p9(X0,X1) ) ).
cnf(p3_22,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ).
cnf(p9_30,negated_conjecture,
( ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11))
| p9(X0,X1) ) ).
cnf(p9_35,negated_conjecture,
( ~ p21(f11(X2,X3,X6,X7,X0,X4),X5)
| p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0)) ) ).
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(c1,plain,
p9(X0,X0),
inference(clausification,[status(esa)],[p9_2]) ).
cnf(c6,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c9,plain,
~ p9(c22,c23),
inference(clausification,[status(esa)],[not_p9_10]) ).
cnf(c16,plain,
( ~ p9(X2,X1)
| ~ p9(X2,X0)
| p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_17]) ).
cnf(c21,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_22]) ).
cnf(c26,plain,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(clausification,[status(esa)],[p21_27]) ).
cnf(c29,plain,
( ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11))
| p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_30]) ).
cnf(c34,plain,
( ~ p21(f11(X2,X3,X6,X7,X0,X4),X5)
| p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0)) ),
inference(clausification,[status(esa)],[p9_35]) ).
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,
( ~ p9(X1,X0)
| p9(X0,X1) ),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d1,plain,
( p9(f15(X7,X0,X1,X5,X6,X2,X3,X4),X4)
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(resolution,[status(thm)],[c34,d0]) ).
cnf(d2,plain,
( ~ p9(f15(X8,X0,X1,X5,X6,X2,X3,X4),X7)
| p9(X7,X4)
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c21,c6]) ).
cnf(d4,plain,
( p3(f11(f19(X7,X0,X1,X5,X6,X2,X3,X4),f18(X7,X0,X1,X5,X6,X2,X3,X4),f17(X7,X0,X1,X5,X6,X2,X3,X4),f16(X7,X0,X1,X5,X6,X2,X3,X4),f15(X7,X0,X1,X5,X6,X2,X3,X4),f14(X7,X0,X1,X5,X6,X2,X3,X4)),X6)
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(resolution,[status(thm)],[c47,d3]) ).
cnf(d5,plain,
( p9(f15(X12,X0,X1,X5,f11(X6,X7,X8,X9,X10,X11),X2,X3,X4),X10)
| ~ p21(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(resolution,[status(thm)],[d4,c29]) ).
cnf(d6,plain,
( ~ p21(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11))
| p9(X10,X4)
| ~ p21(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
p9(c23,c22),
inference(resolution,[status(thm)],[d6,c26]) ).
cnf(d8,plain,
p9(c22,c23),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:18:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/4.52 % SZS status Unsatisfiable for theBenchmark.p
% 7.93/4.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------