%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN654-1 : 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 : n012.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 18.50s 4.77s
% Output : CNFRefutation 18.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 14 unt; 0 nHn; 13 RR)
% Number of literals : 36 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 73 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_3,negated_conjecture,
p8(X0,X0) ).
cnf(not_p8_10,negated_conjecture,
~ p8(c22,c23) ).
cnf(p8_18,negated_conjecture,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) ).
cnf(p8_31,negated_conjecture,
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ) ).
cnf(p8_36,negated_conjecture,
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,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(c2,plain,
p8(X0,X0),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c9,plain,
~ p8(c22,c23),
inference(clausification,[status(esa)],[not_p8_10]) ).
cnf(c17,plain,
( ~ p8(X0,X2)
| p8(X1,X2)
| ~ p8(X0,X1) ),
inference(clausification,[status(esa)],[p8_18]) ).
cnf(c26,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(clausification,[status(esa)],[p21_27]) ).
cnf(c30,plain,
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ),
inference(clausification,[status(esa)],[p8_31]) ).
cnf(c35,plain,
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,X7)) ),
inference(clausification,[status(esa)],[p8_36]) ).
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,
( ~ p8(X1,X0)
| p8(X0,X1) ),
inference(resolution,[status(thm)],[c17,c2]) ).
cnf(d1,plain,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(resolution,[status(thm)],[c47,c26]) ).
cnf(d2,plain,
p8(c23,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[status(thm)],[d1,c30]) ).
cnf(d3,plain,
p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
p8(c22,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[status(thm)],[c35,c26]) ).
cnf(d5,plain,
p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ p8(f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X0)
| p8(X0,c22) ),
inference(resolution,[status(thm)],[d5,c17]) ).
cnf(d7,plain,
p8(c23,c22),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
p8(c22,c23),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:18:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.50/4.77 % SZS status Unsatisfiable for theBenchmark.p
% 18.50/4.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------