%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN640-1 : 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 : n005.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 28.94s 10.28s
% Output : CNFRefutation 28.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 21 unt; 0 nHn; 31 RR)
% Number of literals : 57 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_5,negated_conjecture,
p2(X0,X0) ).
cnf(not_p20_7,negated_conjecture,
~ p20(f17(c25),f17(c22)) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)) ).
cnf(p19_12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))) ).
cnf(p2_26,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p19_28,negated_conjecture,
( ~ p19(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p19(X0,X1) ) ).
cnf(p2_33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
cnf(p2_34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
cnf(p20_35,negated_conjecture,
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ) ).
cnf(c4,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c6,plain,
~ p20(f17(c25),f17(c22)),
inference(clausification,[status(esa)],[not_p20_7]) ).
cnf(c8,plain,
p2(f12(f11(c25)),f7(c24)),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c9,plain,
p2(f12(f11(c22)),f7(c24)),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c11,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(clausification,[status(esa)],[p19_12]) ).
cnf(c25,plain,
( ~ p2(X0,X2)
| p2(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_26]) ).
cnf(c27,plain,
( ~ p19(X3,X0)
| ~ p2(X3,X2)
| p19(X2,X1)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p19_28]) ).
cnf(c32,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausification,[status(esa)],[p2_33]) ).
cnf(c33,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausification,[status(esa)],[p2_34]) ).
cnf(c34,plain,
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1))
| ~ p2(f12(f11(X0)),f7(c24)) ),
inference(clausification,[status(esa)],[p20_35]) ).
cnf(d0,plain,
( ~ p19(X0,X2)
| p19(X1,X2)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c27,c4]) ).
cnf(d1,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c25,c4]) ).
cnf(d2,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolution,[status(thm)],[c33,d1]) ).
cnf(d3,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(resolution,[status(thm)],[c32,d1]) ).
cnf(d4,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| p2(X0,f13(f11(c23))) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d5,plain,
p2(f13(f11(c25)),f13(f11(c23))),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
p2(f13(f11(c23)),f13(f11(c25))),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ p19(f13(f11(c23)),X0)
| p19(f13(f11(c25)),X0) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
p19(f13(f11(c25)),f13(f11(c22))),
inference(resolution,[status(thm)],[d7,c11]) ).
cnf(d9,plain,
( ~ p19(f13(f11(X0)),f13(f11(c22)))
| p20(f17(X0),f17(c22))
| ~ p2(f12(f11(X0)),f7(c24)) ),
inference(resolution,[status(thm)],[c34,c9]) ).
cnf(d10,plain,
( ~ p19(f13(f11(c25)),f13(f11(c22)))
| p20(f17(c25),f17(c22)) ),
inference(resolution,[status(thm)],[d9,c8]) ).
cnf(d11,plain,
~ p19(f13(f11(c25)),f13(f11(c22))),
inference(resolution,[status(thm)],[c6,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 18:17:47 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.94/10.28 % SZS status Unsatisfiable for theBenchmark.p
% 28.94/10.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------