%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN574-1 : 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 : n010.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 09:29:07 AM UTC 2026
% Result : Unsatisfiable 27.36s 6.99s
% Output : CNFRefutation 27.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 17 unt; 6 nHn; 29 RR)
% Number of literals : 84 ( 0 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15) ).
cnf(p3_7,negated_conjecture,
p3(f4(f5(X0)),f4(X0)) ).
cnf(p9_10,negated_conjecture,
( ~ p9(X0,c13)
| p9(X0,f4(c14)) ) ).
cnf(p3_16,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p9_19,negated_conjecture,
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ) ).
cnf(p9_21,negated_conjecture,
( ~ p2(X1,f5(X2))
| ~ p9(c12,X0)
| ~ p11(X2,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ) ).
cnf(not_p11_22,negated_conjecture,
( ~ p9(f8(X1,X2),f4(X2))
| ~ p9(f8(X1,X2),X1)
| ~ p2(X2,f5(X0))
| ~ p9(c12,X1)
| ~ p11(X0,c15) ) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c2,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p9(c12,c13),
inference(clausification,[status(esa)],[p9_5]) ).
cnf(c5,plain,
p11(c14,c15),
inference(clausification,[status(esa)],[p11_6]) ).
cnf(c6,plain,
p3(f4(f5(X0)),f4(X0)),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c9,plain,
( ~ p9(X0,c13)
| p9(X0,f4(c14)) ),
inference(clausification,[status(esa)],[p9_10]) ).
cnf(c15,plain,
( ~ p3(X0,X2)
| p3(X1,X2)
| ~ p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_16]) ).
cnf(c18,plain,
( ~ p3(X1,X3)
| ~ p7(X0,X2)
| p9(X2,X3)
| ~ p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_19]) ).
cnf(c20,plain,
( p9(f8(X2,X0),f4(X0))
| p9(f8(X2,X0),X2)
| ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p2(X0,f5(X1)) ),
inference(clausification,[status(esa)],[p9_21]) ).
cnf(c21,plain,
( ~ p9(f8(X1,X2),f4(X2))
| ~ p2(X2,f5(X0))
| ~ p9(c12,X1)
| ~ p9(f8(X1,X2),X1)
| ~ p11(X0,c15) ),
inference(clausification,[status(esa)],[not_p11_22]) ).
cnf(d0,plain,
p9(c12,f4(c14)),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d1,plain,
( ~ p11(X1,c15)
| ~ p9(f8(X0,f5(X1)),f4(f5(X1)))
| ~ p9(f8(X0,f5(X1)),X0)
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[c21,c3]) ).
cnf(d2,plain,
( ~ p11(X0,c15)
| ~ p9(f8(f4(c14),f5(X0)),f4(f5(X0)))
| ~ p9(f8(f4(c14),f5(X0)),f4(c14)) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ p9(X2,X0)
| p9(X2,X1)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(d4,plain,
( ~ p9(X0,f4(f5(X1)))
| p9(X0,f4(X1)) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
( ~ p3(f4(f5(X0)),X1)
| p3(f4(X0),X1) ),
inference(resolution,[status(thm)],[c15,c6]) ).
cnf(d6,plain,
p3(f4(X0),f4(f5(X0))),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
( ~ p9(X0,f4(X1))
| p9(X0,f4(f5(X1))) ),
inference(resolution,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
( ~ p11(X1,c15)
| p9(f8(X0,f5(X1)),f4(f5(X1)))
| p9(f8(X0,f5(X1)),X0)
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[c20,c3]) ).
cnf(d9,plain,
( ~ p11(X0,c15)
| p9(f8(f4(c14),f5(X0)),f4(f5(X0)))
| p9(f8(f4(c14),f5(X0)),f4(c14)) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| p9(f8(f4(c14),f5(c14)),f4(c14)) ),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
p9(f8(f4(c14),f5(c14)),f4(c14)),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
( ~ p11(c14,c15)
| ~ p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
~ p9(f8(f4(c14),f5(c14)),f4(f5(c14))),
inference(resolution,[status(thm)],[c5,d13]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d11,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:14:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.36/6.99 % SZS status Unsatisfiable for theBenchmark.p
% 27.36/6.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------