%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN577-1 : 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 : n007.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 24.49s 6.60s
% Output : CNFRefutation 24.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 18 unt; 0 nHn; 29 RR)
% Number of literals : 60 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p7_5,negated_conjecture,
p7(c9,c10) ).
cnf(p2_8,negated_conjecture,
p2(f4(c16,c14),c18) ).
cnf(p2_9,negated_conjecture,
p2(f4(c15,c14),c17) ).
cnf(p2_11,negated_conjecture,
p2(f5(f6(c9),c19),c17) ).
cnf(p2_12,negated_conjecture,
p2(f5(f6(c9),c20),c18) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(not_p7_20,negated_conjecture,
( ~ p2(f4(X2,c14),f5(f6(X0),c20))
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p2(c16,X2)
| ~ p2(c15,X1)
| ~ p7(X0,c10) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c4,plain,
p7(c9,c10),
inference(clausification,[status(esa)],[p7_5]) ).
cnf(c7,plain,
p2(f4(c16,c14),c18),
inference(clausification,[status(esa)],[p2_8]) ).
cnf(c8,plain,
p2(f4(c15,c14),c17),
inference(clausification,[status(esa)],[p2_9]) ).
cnf(c10,plain,
p2(f5(f6(c9),c19),c17),
inference(clausification,[status(esa)],[p2_11]) ).
cnf(c11,plain,
p2(f5(f6(c9),c20),c18),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c13,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c19,plain,
( ~ p2(f4(X2,c14),f5(f6(X1),c20))
| ~ p2(c16,X2)
| ~ p2(f4(X0,c14),f5(f6(X1),c19))
| ~ p7(X1,c10)
| ~ p2(c15,X0) ),
inference(clausification,[status(esa)],[not_p7_20]) ).
cnf(d0,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(d1,plain,
p2(c18,f4(c16,c14)),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
p2(c18,f5(f6(c9),c20)),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d3,plain,
( ~ p2(c18,X0)
| p2(X0,f5(f6(c9),c20)) ),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
p2(c17,f4(c15,c14)),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d5,plain,
( ~ p2(c17,X0)
| p2(X0,f4(c15,c14)) ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d6,plain,
( p2(f4(c15,c14),X0)
| ~ p2(c17,X0) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( ~ p7(X0,c10)
| ~ p2(c16,X1)
| ~ p2(f4(X1,c14),f5(f6(X0),c20))
| ~ p2(c15,c15)
| ~ p2(c17,f5(f6(X0),c19)) ),
inference(resolution,[status(thm)],[d6,c19]) ).
cnf(d8,plain,
( ~ p7(X1,c10)
| ~ p2(c17,f5(f6(X1),c19))
| ~ p2(c16,X0)
| ~ p2(f4(X0,c14),f5(f6(X1),c20)) ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( ~ p2(c18,f4(X0,c14))
| ~ p7(c9,c10)
| ~ p2(c17,f5(f6(c9),c19))
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ p2(c17,f5(f6(c9),c19))
| ~ p2(c18,f4(X0,c14))
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[c4,d9]) ).
cnf(d11,plain,
p2(c17,f5(f6(c9),c19)),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d12,plain,
( ~ p2(c18,f4(X0,c14))
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
~ p2(c16,c16),
inference(resolution,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c0,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:12:39 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.49/6.60 % SZS status Unsatisfiable for theBenchmark.p
% 24.49/6.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------