%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN646-1 : 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 : n015.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 09:29:16 AM UTC 2026
% Result : Unsatisfiable 22.85s 4.52s
% Output : CNFRefutation 22.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 19 unt; 0 nHn; 29 RR)
% Number of literals : 56 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_5,negated_conjecture,
p2(X0,X0) ).
cnf(not_p21_7,negated_conjecture,
~ p21(f17(c25),f17(c22)) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)) ).
cnf(p20_12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))) ).
cnf(p2_14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))) ).
cnf(p2_28,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
cnf(p2_36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
cnf(p21_40,negated_conjecture,
( ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| p21(f17(X0),f17(X1)) ) ).
cnf(c4,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c6,plain,
~ p21(f17(c25),f17(c22)),
inference(clausification,[status(esa)],[not_p21_7]) ).
cnf(c8,plain,
p2(f12(f11(c22)),f7(c24)),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c9,plain,
p2(f12(f11(c25)),f7(c24)),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c11,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(clausification,[status(esa)],[p20_12]) ).
cnf(c13,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c27,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_28]) ).
cnf(c34,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausification,[status(esa)],[p2_35]) ).
cnf(c35,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausification,[status(esa)],[p2_36]) ).
cnf(c39,plain,
( ~ p2(f12(f11(X0)),f7(c24))
| ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f13(f11(X0)),f13(f11(X1)))
| p21(f17(X0),f17(X1)) ),
inference(clausification,[status(esa)],[p21_40]) ).
cnf(d0,plain,
( ~ p2(f13(f11(c23)),X0)
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0) ),
inference(resolution,[status(thm)],[c34,c27]) ).
cnf(d1,plain,
( ~ p2(f13(f11(c25)),X0)
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0) ),
inference(resolution,[status(thm)],[c35,c27]) ).
cnf(d2,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1)
| p2(X0,X1)
| ~ p2(f13(f11(c25)),X0) ),
inference(resolution,[status(thm)],[d1,c27]) ).
cnf(d3,plain,
( ~ p2(f13(f11(c23)),X1)
| ~ p2(f13(f11(c25)),X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ p2(f13(f11(c25)),X0)
| p2(X0,f13(f11(c22))) ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
p2(f13(f11(c25)),f13(f11(c22))),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( p21(f17(c25),f17(c22))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(resolution,[status(thm)],[c39,c11]) ).
cnf(d7,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(resolution,[status(thm)],[c9,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:21:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.85/4.52 % SZS status Unsatisfiable for theBenchmark.p
% 22.85/4.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------