%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN600-1 : 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 : n018.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 09:29:10 AM UTC 2026
% Result : Unsatisfiable 57.05s 7.78s
% Output : CNFRefutation 57.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 45 ( 15 unt; 0 nHn; 41 RR)
% Number of literals : 108 ( 0 equ; 67 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c21_is_p19_1,negated_conjecture,
p19(c21) ).
cnf(c22_is_p19_2,negated_conjecture,
p19(c22) ).
cnf(p7_4,negated_conjecture,
p7(X0,X0) ).
cnf(p5_5,negated_conjecture,
p5(X0,X0) ).
cnf(p7_7,negated_conjecture,
p7(f16(c21),f16(c22)) ).
cnf(not_p3_8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))) ).
cnf(p7_10,negated_conjecture,
( ~ p5(X0,X1)
| p7(f16(X0),f16(X1)) ) ).
cnf(p7_17,negated_conjecture,
( ~ p7(X0,X1)
| p7(f15(X0),f15(X1)) ) ).
cnf(p7_19,negated_conjecture,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ) ).
cnf(p17_22,negated_conjecture,
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ) ).
cnf(p18_23,negated_conjecture,
( ~ p18(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p18(X0,X1) ) ).
cnf(p18_27,negated_conjecture,
( ~ p19(X0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))) ) ).
cnf(p17_28,negated_conjecture,
( ~ p19(X0)
| p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ) ).
cnf(p3_29,negated_conjecture,
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0)
| p3(f4(f6(X0)),X1) ) ).
cnf(c0,plain,
p19(c21),
inference(clausification,[status(esa)],[c21_is_p19_1]) ).
cnf(c1,plain,
p19(c22),
inference(clausification,[status(esa)],[c22_is_p19_2]) ).
cnf(c3,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_4]) ).
cnf(c4,plain,
p5(X0,X0),
inference(clausification,[status(esa)],[p5_5]) ).
cnf(c6,plain,
p7(f16(c21),f16(c22)),
inference(clausification,[status(esa)],[p7_7]) ).
cnf(c7,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(clausification,[status(esa)],[not_p3_8]) ).
cnf(c9,plain,
( ~ p5(X0,X1)
| p7(f16(X0),f16(X1)) ),
inference(clausification,[status(esa)],[p7_10]) ).
cnf(c16,plain,
( ~ p7(X0,X1)
| p7(f15(X0),f15(X1)) ),
inference(clausification,[status(esa)],[p7_17]) ).
cnf(c18,plain,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(clausification,[status(esa)],[p7_19]) ).
cnf(c21,plain,
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
inference(clausification,[status(esa)],[p17_22]) ).
cnf(c22,plain,
( ~ p18(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p18(X0,X1) ),
inference(clausification,[status(esa)],[p18_23]) ).
cnf(c26,plain,
( ~ p19(X0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))) ),
inference(clausification,[status(esa)],[p18_27]) ).
cnf(c27,plain,
( ~ p19(X0)
| p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(clausification,[status(esa)],[p17_28]) ).
cnf(c28,plain,
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0)
| p3(f4(f6(X0)),X1) ),
inference(clausification,[status(esa)],[p3_29]) ).
cnf(d0,plain,
( ~ p7(f16(c21),X0)
| p7(f16(c22),X0) ),
inference(resolution,[status(thm)],[c18,c6]) ).
cnf(d1,plain,
p7(f16(c22),f16(c21)),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ p7(X2,X0)
| ~ p7(f15(X2),X1)
| p7(f15(X0),X1) ),
inference(resolution,[status(thm)],[c18,c16]) ).
cnf(d3,plain,
( ~ p7(X0,X2)
| p7(f15(X1),f15(X2))
| ~ p7(X0,X1) ),
inference(resolution,[status(thm)],[d2,c16]) ).
cnf(d4,plain,
( ~ p5(X0,X2)
| p7(f15(f16(X2)),f15(X1))
| ~ p7(f16(X0),X1) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( ~ p5(c22,X0)
| p7(f15(f16(X0)),f15(f16(c21))) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( p18(X2,X1)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X2)
| ~ p7(f15(f16(X0)),X1)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[c26,c22]) ).
cnf(d7,plain,
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
| ~ p7(f15(f16(X0)),X1)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( p17(X2,X1)
| ~ p7(f15(f16(X0)),X2)
| ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X1)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[c27,c21]) ).
cnf(d9,plain,
( p17(X1,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p7(f15(f16(X0)),X1)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[d8,c3]) ).
cnf(d10,plain,
( ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X1)
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[d9,c28]) ).
cnf(d11,plain,
( ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p19(X1)
| p3(f4(f6(X0)),f4(f6(X1)))
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p19(X1)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( ~ p5(c22,X0)
| p3(f4(f6(c21)),f4(f6(X0)))
| ~ p19(c21)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( p3(f4(f6(c21)),f4(f6(X0)))
| ~ p5(c22,X0)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
( ~ p5(c22,c22)
| ~ p19(c22) ),
inference(resolution,[status(thm)],[d13,c7]) ).
cnf(d15,plain,
~ p5(c22,c22),
inference(resolution,[status(thm)],[c1,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c4,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n018.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sat Sep 26 18:18:07 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.05/7.78 % SZS status Unsatisfiable for theBenchmark.p
% 57.05/7.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------