%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 09:29:17 AM UTC 2026
% Result : Unsatisfiable 13.66s 2.14s
% Output : CNFRefutation 13.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 13 unt; 4 nHn; 19 RR)
% Number of literals : 53 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p3_6,negated_conjecture,
p3(X0,X0) ).
cnf(p3_22,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p25_31,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)) ).
cnf(p25_32,negated_conjecture,
( ~ p25(f5(X0,X1),X2)
| p25(f5(f7(c28,X0),X1),X2) ) ).
cnf(p25_35,negated_conjecture,
( ~ p25(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p25(X0,X1) ) ).
cnf(not_p25_45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ).
cnf(p25_46,negated_conjecture,
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ) ).
cnf(p3_49,negated_conjecture,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c5,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_6]) ).
cnf(c21,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_22]) ).
cnf(c30,plain,
p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(clausification,[status(esa)],[p25_31]) ).
cnf(c31,plain,
( ~ p25(f5(X0,X1),X2)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(clausification,[status(esa)],[p25_32]) ).
cnf(c34,plain,
( ~ p25(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p25(X0,X1) ),
inference(clausification,[status(esa)],[p25_35]) ).
cnf(c44,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(clausification,[status(esa)],[not_p25_45]) ).
cnf(c45,plain,
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
inference(clausification,[status(esa)],[p25_46]) ).
cnf(c48,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(clausification,[status(esa)],[p3_49]) ).
cnf(d0,plain,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[status(thm)],[c44,c31]) ).
cnf(d1,plain,
( p25(X1,X2)
| ~ p3(f13(c31,X0),X2)
| ~ p4(f5(c29,f13(c31,f15(c32,X0))),X1) ),
inference(resolution,[status(thm)],[c34,c30]) ).
cnf(d2,plain,
( p25(f5(c29,f13(c31,f15(c32,X0))),X1)
| ~ p3(f13(c31,X0),X1) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( p25(f5(f7(c28,c29),X1),f13(c31,c34))
| ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X0)))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[status(thm)],[c48,c45]) ).
cnf(d5,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[status(thm)],[d4,c30]) ).
cnf(d6,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[status(thm)],[d5,c44]) ).
cnf(d7,plain,
( ~ p3(f13(c31,c34),X0)
| p3(f13(c31,f15(f17(c33,c34),c35)),X0) ),
inference(resolution,[status(thm)],[d6,c21]) ).
cnf(d8,plain,
~ p3(f13(c31,c34),f13(c31,c34)),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c5,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:18:31 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.66/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 13.66/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------