%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN570-1 : 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 : n015.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 6.65s 2.53s
% Output : CNFRefutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 23 RR)
% Number of literals : 51 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p2_5,negated_conjecture,
p2(X0,X0) ).
cnf(p9_7,negated_conjecture,
p9(c15,f8(c13)) ).
cnf(p2_8,negated_conjecture,
p2(c12,f5(c15)) ).
cnf(p3_9,negated_conjecture,
p3(f4(f5(X0)),X0) ).
cnf(not_p9_10,negated_conjecture,
~ p9(f4(c12),f8(c13)) ).
cnf(p3_13,negated_conjecture,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p2_18,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p9_19,negated_conjecture,
( ~ p3(X3,X0)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| p9(X0,X1) ) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c4,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c6,plain,
p9(c15,f8(c13)),
inference(clausification,[status(esa)],[p9_7]) ).
cnf(c7,plain,
p2(c12,f5(c15)),
inference(clausification,[status(esa)],[p2_8]) ).
cnf(c8,plain,
p3(f4(f5(X0)),X0),
inference(clausification,[status(esa)],[p3_9]) ).
cnf(c9,plain,
~ p9(f4(c12),f8(c13)),
inference(clausification,[status(esa)],[not_p9_10]) ).
cnf(c12,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p3_13]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c17,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_18]) ).
cnf(c18,plain,
( ~ p3(X3,X0)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| p9(X0,X1) ),
inference(clausification,[status(esa)],[p9_19]) ).
cnf(d0,plain,
( p9(X1,X0)
| ~ p3(c15,X1)
| ~ p7(f8(c13),X0) ),
inference(resolution,[status(thm)],[c18,c6]) ).
cnf(d1,plain,
( p9(X0,f8(c13))
| ~ p3(c15,X0) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
~ p3(c15,f4(c12)),
inference(resolution,[status(thm)],[d1,c9]) ).
cnf(d3,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c17,c4]) ).
cnf(d4,plain,
p2(f5(c15),c12),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( ~ p3(f4(f5(X0)),X1)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c16,c8]) ).
cnf(d6,plain,
( ~ p2(f5(X0),X1)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[d5,c12]) ).
cnf(d7,plain,
p3(c15,f4(c12)),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 18:17:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.65/2.53 % SZS status Unsatisfiable for theBenchmark.p
% 6.65/2.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------