%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN718-1 : 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 : n007.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 09:29:25 AM UTC 2026
% Result : Unsatisfiable 33.59s 7.72s
% Output : CNFRefutation 33.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 79 ( 0 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_20,negated_conjecture,
p3(X0,X0) ).
cnf(p25_23,negated_conjecture,
p25(X0,X0) ).
cnf(p20_26,negated_conjecture,
p20(X0,X0) ).
cnf(p3_36,negated_conjecture,
p3(c84,f10(c72,c73)) ).
cnf(p21_63,negated_conjecture,
( ~ p21(X2,X1)
| ~ p21(X2,X0)
| p21(X0,X1) ) ).
cnf(p57_72,negated_conjecture,
( ~ p57(f26(X0,X1),X2)
| p57(f26(f30(c85,X0),X1),X2) ) ).
cnf(p57_76,negated_conjecture,
( ~ p21(X3,X1)
| ~ p57(X2,X3)
| ~ p25(X2,X0)
| p57(X0,X1) ) ).
cnf(p57_80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ).
cnf(p57_81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) ).
cnf(p21_101,negated_conjecture,
( ~ p3(X1,X3)
| ~ p20(X0,X2)
| p21(f22(X0,X1),f22(X2,X3)) ) ).
cnf(not_p57_105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))) ).
cnf(p57_107,negated_conjecture,
( ~ p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| p57(f26(f30(c85,X0),X1),X2) ) ).
cnf(c19,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_20]) ).
cnf(c22,plain,
p25(X0,X0),
inference(clausification,[status(esa)],[p25_23]) ).
cnf(c25,plain,
p20(X0,X0),
inference(clausification,[status(esa)],[p20_26]) ).
cnf(c35,plain,
p3(c84,f10(c72,c73)),
inference(clausification,[status(esa)],[p3_36]) ).
cnf(c62,plain,
( ~ p21(X2,X1)
| ~ p21(X2,X0)
| p21(X0,X1) ),
inference(clausification,[status(esa)],[p21_63]) ).
cnf(c71,plain,
( ~ p57(f26(X0,X1),X2)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(clausification,[status(esa)],[p57_72]) ).
cnf(c75,plain,
( ~ p21(X3,X1)
| ~ p57(X2,X3)
| ~ p25(X2,X0)
| p57(X0,X1) ),
inference(clausification,[status(esa)],[p57_76]) ).
cnf(c79,plain,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(clausification,[status(esa)],[p57_80]) ).
cnf(c80,plain,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(clausification,[status(esa)],[p57_81]) ).
cnf(c100,plain,
( ~ p3(X1,X3)
| ~ p20(X0,X2)
| p21(f22(X0,X1),f22(X2,X3)) ),
inference(clausification,[status(esa)],[p21_101]) ).
cnf(c104,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(clausification,[status(esa)],[not_p57_105]) ).
cnf(c106,plain,
( ~ p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(clausification,[status(esa)],[p57_107]) ).
cnf(d0,plain,
( ~ p21(f22(X2,X0),X4)
| p21(X4,f22(X3,X1))
| ~ p20(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c100,c62]) ).
cnf(d1,plain,
( ~ p20(X5,X2)
| ~ p3(X0,X3)
| ~ p20(X5,X4)
| p21(f22(X2,X3),f22(X4,X1))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d0,c100]) ).
cnf(d2,plain,
( ~ p20(X3,X4)
| p21(f22(X3,X1),f22(X4,X2))
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d1,c25]) ).
cnf(d3,plain,
( p21(f22(X3,X2),f22(X3,X1))
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d2,c25]) ).
cnf(d4,plain,
( p21(f22(X1,X0),f22(X1,f10(c72,c73)))
| ~ p3(c84,X0) ),
inference(resolution,[status(thm)],[d3,c35]) ).
cnf(d5,plain,
( p57(X0,X1)
| ~ p21(f22(f24(c71,c83),c84),X1)
| ~ p25(f26(c70,f22(f24(c71,c81),c82)),X0) ),
inference(resolution,[status(thm)],[c79,c75]) ).
cnf(d6,plain,
( p57(f26(c70,f22(f24(c71,c81),c82)),X0)
| ~ p21(f22(f24(c71,c83),c84),X0) ),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d7,plain,
( ~ p57(f26(X0,X3),X1)
| p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X2) ),
inference(resolution,[status(thm)],[c106,c71]) ).
cnf(d8,plain,
( ~ p57(f26(X0,X2),X3)
| p57(f26(f30(c85,X0),X1),X3)
| ~ p57(f26(X0,X1),X2) ),
inference(resolution,[status(thm)],[d7,c71]) ).
cnf(d9,plain,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0)
| ~ p57(f26(c70,f22(f24(c71,c81),c82)),X0) ),
inference(resolution,[status(thm)],[d8,c80]) ).
cnf(d10,plain,
~ p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),f10(c72,c73))),
inference(resolution,[status(thm)],[d9,c104]) ).
cnf(d11,plain,
~ p21(f22(f24(c71,c83),c84),f22(f24(c71,c83),f10(c72,c73))),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
~ p3(c84,c84),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c19,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 18:19:39 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.59/7.72 % SZS status Unsatisfiable for theBenchmark.p
% 33.59/7.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------