%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN558-1 : 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 : n003.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 11.55s 2.73s
% Output : CNFRefutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 20 unt; 0 nHn; 31 RR)
% Number of literals : 82 ( 0 equ; 47 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 57 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p4_2,negated_conjecture,
p4(X0,X0) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X0)) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8) ).
cnf(p5_6,negated_conjecture,
p5(c7,X0,f3(X0)) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c9,X0)
| ~ p5(c7,c8,X0) ) ).
cnf(p2_9,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p5_11,negated_conjecture,
( ~ p5(X0,X3,X2)
| ~ p5(X0,X1,X3)
| p5(X0,X1,X2) ) ).
cnf(p2_13,negated_conjecture,
( ~ p5(c7,X2,X0)
| ~ p5(c7,X2,X1)
| ~ p6(c7,X0)
| ~ p6(c7,X1)
| p2(X0,X1) ) ).
cnf(p5_14,negated_conjecture,
( ~ p5(X5,X3,X4)
| ~ p4(X5,X0)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_2]) ).
cnf(c2,plain,
p6(c7,f3(X0)),
inference(clausification,[status(esa)],[p6_3]) ).
cnf(c3,plain,
p5(c7,c10,c9),
inference(clausification,[status(esa)],[p5_4]) ).
cnf(c4,plain,
p5(c7,c10,c8),
inference(clausification,[status(esa)],[p5_5]) ).
cnf(c5,plain,
p5(c7,X0,f3(X0)),
inference(clausification,[status(esa)],[p5_6]) ).
cnf(c7,plain,
( ~ p5(c7,c9,X0)
| ~ p5(c7,c8,X0) ),
inference(clausification,[status(esa)],[not_p5_8]) ).
cnf(c8,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c10,plain,
( ~ p5(X0,X3,X2)
| ~ p5(X0,X1,X3)
| p5(X0,X1,X2) ),
inference(clausification,[status(esa)],[p5_11]) ).
cnf(c12,plain,
( ~ p5(c7,X0,X2)
| ~ p6(c7,X2)
| p2(X1,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X0,X1) ),
inference(clausification,[status(esa)],[p2_13]) ).
cnf(c13,plain,
( ~ p4(X4,X0)
| ~ p2(X5,X2)
| ~ p5(X4,X3,X5)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ),
inference(clausification,[status(esa)],[p5_14]) ).
cnf(d0,plain,
~ p5(c7,c9,f3(c8)),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d1,plain,
( p5(c7,X0,X1)
| ~ p5(c7,f3(X0),X1) ),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d2,plain,
p5(c7,X0,f3(f3(X0))),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( p5(X3,X2,X1)
| ~ p4(c7,X3)
| ~ p2(X0,X2)
| ~ p2(f3(f3(X0)),X1) ),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(d5,plain,
( p5(c7,c10,X0)
| ~ p5(c7,c9,X0) ),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(d6,plain,
p5(c7,c10,f3(f3(c9))),
inference(resolution,[status(thm)],[d2,d5]) ).
cnf(d7,plain,
( p5(c7,c10,X0)
| ~ p5(c7,c8,X0) ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d8,plain,
p5(c7,c10,f3(c8)),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( ~ p5(c7,c10,X0)
| ~ p6(c7,f3(c8))
| ~ p6(c7,X0)
| p2(f3(c8),X0) ),
inference(resolution,[status(thm)],[d8,c12]) ).
cnf(d10,plain,
( ~ p5(c7,c10,X0)
| ~ p6(c7,X0)
| p2(f3(c8),X0) ),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
( ~ p6(c7,f3(f3(c9)))
| p2(f3(c8),f3(f3(c9))) ),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
p2(f3(c8),f3(f3(c9))),
inference(resolution,[status(thm)],[c2,d11]) ).
cnf(d13,plain,
p2(f3(f3(c9)),f3(c8)),
inference(resolution,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
( p5(X1,X0,f3(c8))
| ~ p4(c7,X1)
| ~ p2(c9,X0) ),
inference(resolution,[status(thm)],[d13,d3]) ).
cnf(d15,plain,
( ~ p4(c7,c7)
| ~ p2(c9,c9) ),
inference(resolution,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
~ p4(c7,c7),
inference(resolution,[status(thm)],[c0,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c1,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN558-1 : 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 : n003.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 18:15:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.55/2.73 % SZS status Unsatisfiable for theBenchmark.p
% 11.55/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------