%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN709-1 : 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 : n017.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 09:29:24 AM UTC 2026
% Result : Unsatisfiable 27.68s 6.55s
% Output : CNFRefutation 27.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 15 unt; 0 nHn; 18 RR)
% Number of literals : 44 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p29_14,negated_conjecture,
p29(X0,X0) ).
cnf(p19_21,negated_conjecture,
p19(X0,X0) ).
cnf(p46_29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)) ).
cnf(p19_59,negated_conjecture,
p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)) ).
cnf(p47_60,negated_conjecture,
( ~ p19(X3,X1)
| ~ p47(X2,X3)
| ~ p30(X2,X0)
| p47(X0,X1) ) ).
cnf(not_p47_64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)) ).
cnf(p30_72,negated_conjecture,
( ~ p29(X0,X2)
| ~ p19(X1,X3)
| p30(f31(X0,X1),f31(X2,X3)) ) ).
cnf(p47_81,negated_conjecture,
( ~ p46(f23(c58,X0),f20(c59,X1))
| p47(f31(f33(c62,c63),f34(c66,X0)),X1) ) ).
cnf(p47_83,negated_conjecture,
( ~ p47(f31(f33(c62,c63),X0),X1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)) ) ).
cnf(c13,plain,
p29(X0,X0),
inference(clausification,[status(esa)],[p29_14]) ).
cnf(c20,plain,
p19(X0,X0),
inference(clausification,[status(esa)],[p19_21]) ).
cnf(c28,plain,
p46(f23(c58,c56),f20(c59,c60)),
inference(clausification,[status(esa)],[p46_29]) ).
cnf(c58,plain,
p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
inference(clausification,[status(esa)],[p19_59]) ).
cnf(c59,plain,
( ~ p19(X1,X3)
| ~ p30(X0,X2)
| p47(X2,X3)
| ~ p47(X0,X1) ),
inference(clausification,[status(esa)],[p47_60]) ).
cnf(c63,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(clausification,[status(esa)],[not_p47_64]) ).
cnf(c71,plain,
( ~ p29(X2,X3)
| p30(f31(X2,X0),f31(X3,X1))
| ~ p19(X0,X1) ),
inference(clausification,[status(esa)],[p30_72]) ).
cnf(c80,plain,
( ~ p46(f23(c58,X0),f20(c59,X1))
| p47(f31(f33(c62,c63),f34(c66,X0)),X1) ),
inference(clausification,[status(esa)],[p47_81]) ).
cnf(c82,plain,
( ~ p47(f31(f33(c62,c63),X0),X1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)) ),
inference(clausification,[status(esa)],[p47_83]) ).
cnf(d0,plain,
p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(resolution,[status(thm)],[c80,c28]) ).
cnf(d1,plain,
p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
inference(resolution,[status(thm)],[c82,d0]) ).
cnf(d2,plain,
( ~ p19(X1,X2)
| p30(f31(X0,X1),f31(X0,X2)) ),
inference(resolution,[status(thm)],[c71,c13]) ).
cnf(d3,plain,
p30(f31(X0,f25(f28(c64,X1),f34(c66,X2))),f31(X0,f34(X1,X2))),
inference(resolution,[status(thm)],[d2,c58]) ).
cnf(d4,plain,
( ~ p47(f31(X2,f25(f28(c64,X3),f34(c66,X4))),X0)
| p47(f31(X2,f34(X3,X4)),X1)
| ~ p19(X0,X1) ),
inference(resolution,[status(thm)],[d3,c59]) ).
cnf(d5,plain,
( p47(f31(X0,f34(X1,X2)),X3)
| ~ p47(f31(X0,f25(f28(c64,X1),f34(c66,X2))),X3) ),
inference(resolution,[status(thm)],[d4,c20]) ).
cnf(d6,plain,
p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c63,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 18:16:48 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.68/6.55 % SZS status Unsatisfiable for theBenchmark.p
% 27.68/6.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------