%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN644-1 : 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 : n016.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 15.85s 22.48s
% Output : CNFRefutation 15.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 18 unt; 5 nHn; 27 RR)
% Number of literals : 85 ( 0 equ; 44 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 : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_1,negated_conjecture,
p12(X0,X0) ).
cnf(p22_7,negated_conjecture,
p22(f3(f4(f5(c26))),c27) ).
cnf(f17_is_p24_9,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)) ).
cnf(p23_10,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))) ).
cnf(p12_17,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(not_p12_23,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ).
cnf(p25_25,negated_conjecture,
( ~ p12(X3,X0)
| ~ p25(X3,X2)
| ~ p12(X2,X1)
| p25(X0,X1) ) ).
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_39,negated_conjecture,
( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p22(f3(f4(f5(c26))),X2)
| 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_40,negated_conjecture,
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p22(f3(f4(f5(c26))),X2)
| 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,
p24(f17(f10(c29,f11(c27,c30)),c28)),
inference(clausification,[status(esa)],[f17_is_p24_9]) ).
cnf(c9,plain,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(clausification,[status(esa)],[p23_10]) ).
cnf(c16,plain,
( ~ p12(X0,X2)
| p12(X1,X2)
| ~ p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_17]) ).
cnf(c22,plain,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(clausification,[status(esa)],[not_p12_23]) ).
cnf(c24,plain,
( ~ p12(X0,X2)
| ~ p12(X1,X3)
| p25(X2,X3)
| ~ p25(X0,X1) ),
inference(clausification,[status(esa)],[p25_25]) ).
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(c38,plain,
( ~ p23(X3,f8(f10(X0,f11(X1,X2))))
| p12(X3,f16(f10(X0,f11(X1,X2)),c32,X4))
| ~ p22(f3(f4(f5(c26))),X1)
| p23(f21(X0,X1,X2,X4,X3),f8(f10(X0,f11(X1,X2))))
| ~ p24(f17(f10(X0,f11(X1,X2)),X3)) ),
inference(clausification,[status(esa)],[p12_39]) ).
cnf(c39,plain,
( ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X0))
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,X3,X4,X0,X1)))) ),
inference(clausification,[status(esa)],[p12_40]) ).
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)),X0))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(resolution,[status(thm)],[c39,c6]) ).
cnf(d1,plain,
( ~ p25(f13(f14(X0,c28)),f13(f14(X0,f21(c29,c27,c30,X0,c28))))
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( ~ p25(f13(f14(X0,c28)),f13(f14(X0,f21(c29,c27,c30,X0,c28))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
( ~ p12(X1,X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[c16,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)),X1)
| ~ p12(X0,X1) ),
inference(resolution,[status(thm)],[d4,c24]) ).
cnf(d6,plain,
( ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0)
| p25(f13(f14(c31,c28)),X0) ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,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(d8,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)),X0))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(resolution,[status(thm)],[c38,c6]) ).
cnf(d9,plain,
( p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[d8,c8]) ).
cnf(d10,plain,
( p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[status(thm)],[c9,d9]) ).
cnf(d11,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(resolution,[status(thm)],[d10,c22]) ).
cnf(d12,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)],[d11,d7]) ).
cnf(d13,plain,
p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(resolution,[status(thm)],[d12,d6]) ).
cnf(d14,plain,
p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(resolution,[status(thm)],[d13,d2]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c22,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN644-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.07/20.47 % CPULimit : 300
% 0.07/20.47 % WCLimit : 300
% 0.07/20.47 % DateTime : Sat Sep 26 18:18:15 UTC 2026
% 0.07/20.47 % CPUTime :
% 0.07/20.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.85/22.48 % SZS status Unsatisfiable for theBenchmark.p
% 15.85/22.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------