%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 17.71s 4.92s
% Output : CNFRefutation 17.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 31 ( 0 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))) ).
cnf(p21_6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)) ).
cnf(not_p4_12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27) ).
cnf(p22_17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27) ).
cnf(p3_30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))) ).
cnf(p4_34,negated_conjecture,
( ~ p3(X3,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X4),f15(f16(f9(f10(f11(c29)))),X2)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),X4)
| ~ p21(X4,f12(f9(f10(f11(c29))),X1))
| ~ p21(X5,f9(f10(f11(c29))))
| p4(f5(f7(X0,f8(X1,X2)),X3),X4) ) ).
cnf(c4,plain,
p21(c28,f9(f10(f11(c29)))),
inference(clausification,[status(esa)],[p21_5]) ).
cnf(c5,plain,
p21(c27,f12(f9(f10(f11(c29))),c24)),
inference(clausification,[status(esa)],[p21_6]) ).
cnf(c11,plain,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(clausification,[status(esa)],[not_p4_12]) ).
cnf(c16,plain,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
inference(clausification,[status(esa)],[p22_17]) ).
cnf(c29,plain,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
inference(clausification,[status(esa)],[p3_30]) ).
cnf(c33,plain,
( ~ p22(f12(f9(f10(f11(c29))),f18(X5,f9(f11(c29)))),X3)
| ~ p21(X1,f9(f10(f11(c29))))
| p4(f5(f7(X6,f8(X5,X4)),X0),X3)
| ~ p21(X3,f12(f9(f10(f11(c29))),X5))
| ~ p3(X0,f13(f15(f17(f16(f9(f11(c29)))),X1),f13(f15(f16(f9(f10(f11(c29)))),X2),f14(f16(X3),f15(f16(f9(f10(f11(c29)))),X4))))) ),
inference(clausification,[status(esa)],[p4_34]) ).
cnf(d0,plain,
( ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),c27)
| ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),X1))
| p4(f5(f7(X0,f8(X1,c25)),c26),c27) ),
inference(resolution,[status(thm)],[c33,c29]) ).
cnf(d1,plain,
( ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),X1))
| p4(f5(f7(X0,f8(X1,c25)),c26),c27) ),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| p4(f5(f7(X0,f8(c24,c25)),c26),c27) ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
p4(f5(f7(X0,f8(c24,c25)),c26),c27),
inference(resolution,[status(thm)],[c5,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 18:18:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.71/4.92 % SZS status Unsatisfiable for theBenchmark.p
% 17.71/4.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------