%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN563-1 : 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 : n011.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 09:29:05 AM UTC 2026
% Result : Unsatisfiable 20.17s 3.21s
% Output : CNFRefutation 20.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 24 RR)
% Number of literals : 50 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p6_2,negated_conjecture,
p6(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)) ).
cnf(not_p6_5,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X0)),f3(f4(X0))) ).
cnf(p6_9,negated_conjecture,
( ~ p6(c7,X0)
| p6(c7,f3(X0)) ) ).
cnf(p6_10,negated_conjecture,
( ~ p5(X0,X1)
| p6(f4(X0),X1) ) ).
cnf(p2_11,negated_conjecture,
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ) ).
cnf(p5_15,negated_conjecture,
( ~ p6(X0,X2)
| ~ p5(X2,X1)
| p5(X0,X1) ) ).
cnf(p5_17,negated_conjecture,
( ~ p2(X3,X0)
| ~ p5(X3,X2)
| ~ p2(X2,X1)
| p5(X0,X1) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p6(X0,X0),
inference(clausification,[status(esa)],[p6_2]) ).
cnf(c3,plain,
p2(f4(c7),f4(c8)),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
~ p6(f4(c7),f3(f4(c8))),
inference(clausification,[status(esa)],[not_p6_5]) ).
cnf(c6,plain,
p5(f3(f3(X0)),f3(f4(X0))),
inference(clausification,[status(esa)],[p5_7]) ).
cnf(c8,plain,
( ~ p6(c7,X0)
| p6(c7,f3(X0)) ),
inference(clausification,[status(esa)],[p6_9]) ).
cnf(c9,plain,
( ~ p5(X0,X1)
| p6(f4(X0),X1) ),
inference(clausification,[status(esa)],[p6_10]) ).
cnf(c10,plain,
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
inference(clausification,[status(esa)],[p2_11]) ).
cnf(c14,plain,
( ~ p6(X2,X0)
| p5(X2,X1)
| ~ p5(X0,X1) ),
inference(clausification,[status(esa)],[p5_15]) ).
cnf(c16,plain,
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p5(X2,X3)
| ~ p5(X0,X1) ),
inference(clausification,[status(esa)],[p5_17]) ).
cnf(d0,plain,
p6(c7,f3(c7)),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(d1,plain,
p6(c7,f3(f3(c7))),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( p5(c7,X0)
| ~ p5(f3(f3(c7)),X0) ),
inference(resolution,[status(thm)],[c14,d1]) ).
cnf(d3,plain,
p5(c7,f3(f4(c7))),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
p2(f3(f4(c7)),f3(f4(c8))),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(d5,plain,
( ~ p5(X2,X0)
| p5(X2,X1)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(d6,plain,
( ~ p5(X0,f3(f4(c7)))
| p5(X0,f3(f4(c8))) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
p5(c7,f3(f4(c8))),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
p6(f4(c7),f3(f4(c8))),
inference(resolution,[status(thm)],[d7,c9]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c4,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:14:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.17/3.21 % SZS status Unsatisfiable for theBenchmark.p
% 20.17/3.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------