%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN568-1 : 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 : n019.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 9.97s 3.31s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 11 unt; 4 nHn; 14 RR)
% Number of literals : 36 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p11_3,negated_conjecture,
~ p11(f9(c13),f9(c14)) ).
cnf(p11_4,negated_conjecture,
p11(f5(f6(c12)),f9(X0)) ).
cnf(p10_5,negated_conjecture,
( p11(X1,X0)
| p10(X0,X1) ) ).
cnf(not_p10_6,negated_conjecture,
( ~ p11(X1,X0)
| ~ p10(X0,X1) ) ).
cnf(not_p3_7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)) ).
cnf(p11_18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ).
cnf(p3_20,negated_conjecture,
( ~ p11(f5(f6(c12)),X1)
| ~ p10(X1,X2)
| p10(f4(X1,X0),f4(X2,X0))
| p3(X0,f6(c12)) ) ).
cnf(c2,plain,
~ p11(f9(c13),f9(c14)),
inference(clausification,[status(esa)],[not_p11_3]) ).
cnf(c3,plain,
p11(f5(f6(c12)),f9(X0)),
inference(clausification,[status(esa)],[p11_4]) ).
cnf(c4,plain,
( p11(X1,X0)
| p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_5]) ).
cnf(c5,plain,
( ~ p11(X1,X0)
| ~ p10(X0,X1) ),
inference(clausification,[status(esa)],[not_p10_6]) ).
cnf(c6,plain,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(clausification,[status(esa)],[not_p3_7]) ).
cnf(c17,plain,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
inference(clausification,[status(esa)],[p11_18]) ).
cnf(c19,plain,
( ~ p11(f5(f6(c12)),X1)
| ~ p10(X1,X2)
| p10(f4(X1,X0),f4(X2,X0))
| p3(X0,f6(c12)) ),
inference(clausification,[status(esa)],[p3_20]) ).
cnf(d0,plain,
( ~ p11(f4(X2,X0),f4(X1,X0))
| ~ p10(X1,X2)
| ~ p11(f5(f6(c12)),X1)
| p3(X0,f6(c12)) ),
inference(resolution,[status(thm)],[c19,c5]) ).
cnf(d1,plain,
( ~ p10(f9(c14),f9(c13))
| ~ p11(f5(f6(c12)),f9(c14))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(resolution,[status(thm)],[d0,c17]) ).
cnf(d2,plain,
( ~ p10(f9(c14),f9(c13))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
~ p10(f9(c14),f9(c13)),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
p11(f9(c13),f9(c14)),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.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 18:14:18 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.97/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 9.97/3.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------