%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN645-1 : 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 : n011.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 09:29:15 AM UTC 2026
% Result : Unsatisfiable 86.17s 12.79s
% Output : CNFRefutation 86.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 18 unt; 10 nHn; 28 RR)
% Number of literals : 85 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_1,negated_conjecture,
p12(X0,X0) ).
cnf(p22_7,negated_conjecture,
p22(f3(f4(f5(c26))),c27) ).
cnf(p23_9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))) ).
cnf(p12_16,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(not_p12_22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ).
cnf(p25_23,negated_conjecture,
( ~ p12(X3,X0)
| ~ p25(X3,X2)
| ~ p12(X2,X1)
| p25(X0,X1) ) ).
cnf(f17_is_not_p24_32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ).
cnf(p12_33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ).
cnf(p25_37,negated_conjecture,
( ~ p23(X4,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4))) ) ).
cnf(p12_41,negated_conjecture,
( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ) ).
cnf(p12_42,negated_conjecture,
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ) ).
cnf(c0,plain,
p12(X0,X0),
inference(clausification,[status(esa)],[p12_1]) ).
cnf(c6,plain,
p22(f3(f4(f5(c26))),c27),
inference(clausification,[status(esa)],[p22_7]) ).
cnf(c8,plain,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(clausification,[status(esa)],[p23_9]) ).
cnf(c15,plain,
( ~ p12(X0,X2)
| p12(X1,X2)
| ~ p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_16]) ).
cnf(c21,plain,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(clausification,[status(esa)],[not_p12_22]) ).
cnf(c22,plain,
( ~ p12(X0,X2)
| ~ p12(X1,X3)
| p25(X2,X3)
| ~ p25(X0,X1) ),
inference(clausification,[status(esa)],[p25_23]) ).
cnf(c31,plain,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(clausification,[status(esa)],[f17_is_not_p24_32]) ).
cnf(c32,plain,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
inference(clausification,[status(esa)],[p12_33]) ).
cnf(c36,plain,
( ~ p23(X4,f8(f10(X2,f11(X0,X3))))
| p25(f13(f14(X1,f16(f10(X2,f11(X0,X3)),c32,X1))),f13(f14(X1,X4)))
| ~ p22(f3(f4(f5(c26))),X0) ),
inference(clausification,[status(esa)],[p25_37]) ).
cnf(c40,plain,
( p24(f17(f10(X2,f11(X0,X3)),f16(f10(X2,f11(X0,X3)),c32,X4)))
| ~ p23(X1,f8(f10(X2,f11(X0,X3))))
| p23(f21(X2,X0,X3,X4,X1),f8(f10(X2,f11(X0,X3))))
| p12(X1,f16(f10(X2,f11(X0,X3)),c32,X4))
| ~ p22(f3(f4(f5(c26))),X0) ),
inference(clausification,[status(esa)],[p12_41]) ).
cnf(c41,plain,
( ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X0)))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X0))
| ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,X3,X4,X0,X1)))) ),
inference(clausification,[status(esa)],[p12_42]) ).
cnf(d0,plain,
( ~ p25(f13(f14(X3,X0)),f13(f14(X3,f21(X1,c27,X2,X3,X0))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(resolution,[status(thm)],[c41,c6]) ).
cnf(d1,plain,
( ~ p25(f13(f14(X0,c28)),f13(f14(X0,f21(c29,c27,c30,X0,c28))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( ~ p25(X0,X2)
| p25(X1,X2)
| ~ p12(X0,X1) ),
inference(resolution,[status(thm)],[c22,c0]) ).
cnf(d3,plain,
( ~ p12(X1,X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(d4,plain,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(resolution,[status(thm)],[c32,d3]) ).
cnf(d5,plain,
( ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0)
| p25(f13(f14(c31,c28)),X0) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( p25(f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))),f13(f14(X3,X0)))
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(resolution,[status(thm)],[c36,c6]) ).
cnf(d7,plain,
( p23(f21(X1,c27,X2,X3,X0),f8(f10(X1,f11(c27,X2))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(resolution,[status(thm)],[c40,c6]) ).
cnf(d8,plain,
( p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[d7,c8]) ).
cnf(d9,plain,
( p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
inference(resolution,[status(thm)],[d8,c21]) ).
cnf(d10,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(resolution,[status(thm)],[c31,d9]) ).
cnf(d11,plain,
p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
inference(resolution,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(resolution,[status(thm)],[c21,d13]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c31,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 18:18:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.17/12.79 % SZS status Unsatisfiable for theBenchmark.p
% 86.17/12.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------