%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN554-1 : 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 : 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 09:29:04 AM UTC 2026
% Result : Unsatisfiable 14.91s 2.46s
% Output : CNFRefutation 14.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 13 unt; 3 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(not_p4_2,negated_conjecture,
~ p4(X0,X0) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,c7) ).
cnf(p2_4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)) ).
cnf(p2_5,negated_conjecture,
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p2(X0,X1) ) ).
cnf(p4_7,negated_conjecture,
( ~ p4(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ) ).
cnf(p4_8,negated_conjecture,
( ~ p2(X3,X0)
| ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
~ p4(X0,X0),
inference(clausification,[status(esa)],[not_p4_2]) ).
cnf(c2,plain,
~ p2(c6,c7),
inference(clausification,[status(esa)],[not_p2_3]) ).
cnf(c3,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c6,plain,
( ~ p4(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ),
inference(clausification,[status(esa)],[p4_7]) ).
cnf(c7,plain,
( ~ p2(X3,X0)
| ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_8]) ).
cnf(d0,plain,
( ~ p4(X0,X2)
| p4(X1,X3)
| ~ p2(f3(c5,X2),X3)
| ~ p2(f3(c5,X0),X1) ),
inference(resolution,[status(thm)],[c7,c6]) ).
cnf(d1,plain,
( ~ p4(c6,X0)
| p4(f3(c5,c7),X1)
| ~ p2(f3(c5,X0),X1) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( p4(f3(c5,c7),f3(c5,X0))
| ~ p4(c6,X0) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
~ p4(c6,c7),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d5,plain,
p2(f3(c5,c7),f3(c5,c6)),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ p4(c7,X0)
| p4(f3(c5,c6),X1)
| ~ p2(f3(c5,X0),X1) ),
inference(resolution,[status(thm)],[d0,d5]) ).
cnf(d7,plain,
( p4(f3(c5,c6),f3(c5,X0))
| ~ p4(c7,X0) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
~ p4(c7,c6),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
( p4(c6,c7)
| p2(c6,c7) ),
inference(resolution,[status(thm)],[d8,c4]) ).
cnf(d10,plain,
p4(c6,c7),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 18:09:03 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.91/2.46 % SZS status Unsatisfiable for theBenchmark.p
% 14.91/2.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------