%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN622-1 : 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 : n016.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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 42.09s 6.42s
% Output : CNFRefutation 42.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 9 RR)
% Number of literals : 33 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p8_3,negated_conjecture,
p8(X0,X0) ).
cnf(p8_8,negated_conjecture,
p8(f16(X0,f17(X1,X0)),X1) ).
cnf(p8_21,negated_conjecture,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ) ).
cnf(p8_24,negated_conjecture,
p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))) ).
cnf(not_p8_26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)) ).
cnf(p8_31,negated_conjecture,
( ~ p8(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ) ).
cnf(c0,plain,
p11(X0,X0),
inference(clausification,[status(esa)],[p11_1]) ).
cnf(c2,plain,
p8(X0,X0),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c7,plain,
p8(f16(X0,f17(X1,X0)),X1),
inference(clausification,[status(esa)],[p8_8]) ).
cnf(c20,plain,
( ~ p8(X0,X2)
| p8(X1,X2)
| ~ p8(X0,X1) ),
inference(clausification,[status(esa)],[p8_21]) ).
cnf(c23,plain,
p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
inference(clausification,[status(esa)],[p8_24]) ).
cnf(c25,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(clausification,[status(esa)],[not_p8_26]) ).
cnf(c30,plain,
( ~ p8(X2,X3)
| p8(f12(X0,X2),f12(X1,X3))
| ~ p11(X0,X1) ),
inference(clausification,[status(esa)],[p8_31]) ).
cnf(d0,plain,
( ~ p8(X1,X0)
| p8(X0,X1) ),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(d1,plain,
p8(f12(f13(c26),f16(c27,X0)),f12(f13(c23),X0)),
inference(resolution,[status(thm)],[d0,c23]) ).
cnf(d2,plain,
( ~ p8(f12(f13(c26),f16(c27,X1)),X0)
| p8(X0,f12(f13(c23),X1)) ),
inference(resolution,[status(thm)],[d1,c20]) ).
cnf(d3,plain,
( p8(f12(X2,X0),f12(X2,X1))
| ~ p8(X0,X1) ),
inference(resolution,[status(thm)],[c30,c0]) ).
cnf(d4,plain,
p8(f12(X0,f16(X1,f17(X2,X1))),f12(X0,X2)),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
p8(f12(f13(c26),X0),f12(f13(c23),f17(X0,c27))),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
p8(f12(f13(c23),f17(X0,c27)),f12(f13(c26),X0)),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:22:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.09/6.42 % SZS status Unsatisfiable for theBenchmark.p
% 42.09/6.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------