%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN659-1 : 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 : n002.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 09:29:17 AM UTC 2026
% Result : Unsatisfiable 25.30s 6.74s
% Output : CNFRefutation 25.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 47 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
p7(X0,X0) ).
cnf(p12_10,negated_conjecture,
p12(X0,X0) ).
cnf(p24_27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)) ).
cnf(p12_29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ).
cnf(p12_38,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(not_p24_39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)) ).
cnf(p24_41,negated_conjecture,
( ~ p12(X3,X1)
| ~ p24(X2,X3)
| ~ p14(X2,X0)
| p24(X0,X1) ) ).
cnf(p14_45,negated_conjecture,
( ~ p7(X0,X2)
| ~ p12(X1,X3)
| p14(f15(X0,X1),f15(X2,X3)) ) ).
cnf(c2,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_3]) ).
cnf(c9,plain,
p12(X0,X0),
inference(clausification,[status(esa)],[p12_10]) ).
cnf(c26,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(clausification,[status(esa)],[p24_27]) ).
cnf(c28,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(clausification,[status(esa)],[p12_29]) ).
cnf(c37,plain,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_38]) ).
cnf(c38,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(clausification,[status(esa)],[not_p24_39]) ).
cnf(c40,plain,
( ~ p12(X3,X1)
| ~ p24(X2,X3)
| ~ p14(X2,X0)
| p24(X0,X1) ),
inference(clausification,[status(esa)],[p24_41]) ).
cnf(c44,plain,
( ~ p7(X0,X2)
| ~ p12(X1,X3)
| p14(f15(X0,X1),f15(X2,X3)) ),
inference(clausification,[status(esa)],[p14_45]) ).
cnf(d0,plain,
( ~ p12(X1,X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[c37,c9]) ).
cnf(d1,plain,
p12(f13(c40,c41),f13(f16(c39),f17(c39))),
inference(resolution,[status(thm)],[d0,c28]) ).
cnf(d2,plain,
( p24(X0,X1)
| ~ p12(f13(c32,c33),X1)
| ~ p14(f15(c29,f13(c40,c41)),X0) ),
inference(resolution,[status(thm)],[c40,c26]) ).
cnf(d3,plain,
( ~ p12(f13(c40,c41),X2)
| ~ p7(c29,X1)
| p24(f15(X1,X2),X0)
| ~ p12(f13(c32,c33),X0) ),
inference(resolution,[status(thm)],[d2,c44]) ).
cnf(d4,plain,
( p24(f15(X0,f13(f16(c39),f17(c39))),X1)
| ~ p12(f13(c32,c33),X1)
| ~ p7(c29,X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p7(c29,c29) ),
inference(resolution,[status(thm)],[d4,c38]) ).
cnf(d6,plain,
~ p12(f13(c32,c33),f13(c32,c33)),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c9,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n002.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 18:21:35 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.30/6.74 % SZS status Unsatisfiable for theBenchmark.p
% 25.30/6.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------