%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN641-1 : 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 : n014.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 17.91s 5.66s
% Output : CNFRefutation 17.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 55 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)) ).
cnf(p6_4,negated_conjecture,
p6(X0,X0) ).
cnf(p6_12,negated_conjecture,
p6(f7(f3(c18)),f7(c18)) ).
cnf(p6_13,negated_conjecture,
p6(f7(f3(c19)),f7(c19)) ).
cnf(p6_23,negated_conjecture,
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ) ).
cnf(not_p6_28,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))) ).
cnf(p6_33,negated_conjecture,
( ~ p6(X0,X2)
| ~ p6(X1,X3)
| p6(f9(X0,X1),f9(X2,X3)) ) ).
cnf(p6_38,negated_conjecture,
( ~ p15(X1)
| ~ p15(X0)
| p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1))) ) ).
cnf(c0,plain,
p15(f3(c19)),
inference(clausification,[status(esa)],[f3_is_p15_1]) ).
cnf(c1,plain,
p15(f3(c18)),
inference(clausification,[status(esa)],[f3_is_p15_2]) ).
cnf(c3,plain,
p6(X0,X0),
inference(clausification,[status(esa)],[p6_4]) ).
cnf(c11,plain,
p6(f7(f3(c18)),f7(c18)),
inference(clausification,[status(esa)],[p6_12]) ).
cnf(c12,plain,
p6(f7(f3(c19)),f7(c19)),
inference(clausification,[status(esa)],[p6_13]) ).
cnf(c22,plain,
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
inference(clausification,[status(esa)],[p6_23]) ).
cnf(c27,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(clausification,[status(esa)],[not_p6_28]) ).
cnf(c32,plain,
( ~ p6(X0,X2)
| ~ p6(X1,X3)
| p6(f9(X0,X1),f9(X2,X3)) ),
inference(clausification,[status(esa)],[p6_33]) ).
cnf(c37,plain,
( ~ p15(X1)
| ~ p15(X0)
| p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1))) ),
inference(clausification,[status(esa)],[p6_38]) ).
cnf(d0,plain,
( ~ p6(f9(X0,X2),X4)
| p6(X4,f9(X1,X3))
| ~ p6(X2,X3)
| ~ p6(X0,X1) ),
inference(resolution,[status(thm)],[c32,c22]) ).
cnf(d1,plain,
( ~ p6(X1,X0)
| p6(X0,X1) ),
inference(resolution,[status(thm)],[c22,c3]) ).
cnf(d2,plain,
( p6(f9(f7(X0),f7(X1)),f7(f10(X0,X1)))
| ~ p15(X1)
| ~ p15(X0) ),
inference(resolution,[status(thm)],[c37,d1]) ).
cnf(d3,plain,
( ~ p6(f7(X1),X2)
| ~ p6(f7(X0),X3)
| p6(f7(f10(X1,X0)),f9(X2,X3))
| ~ p15(X1)
| ~ p15(X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| ~ p6(f7(f3(c19)),f7(c19))
| ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(resolution,[status(thm)],[d3,c27]) ).
cnf(d5,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| ~ p6(f7(f3(c19)),f7(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( ~ p6(f7(f3(c18)),f7(c18))
| ~ p6(f7(f3(c19)),f7(c19)) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
~ p6(f7(f3(c19)),f7(c19)),
inference(resolution,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c12,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN641-1 : 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 : n014.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
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 18:17:46 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.91/5.66 % SZS status Unsatisfiable for theBenchmark.p
% 17.91/5.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------