%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 07:18:42 AM UTC 2026
% Result : Unsatisfiable 10.53s 3.05s
% Output : CNFRefutation 10.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 44 ( 3 unt; 26 nHn; 44 RR)
% Number of literals : 107 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( b
| a ) ).
cnf(clause_2,negated_conjecture,
( ~ b
| ~ a ) ).
cnf(clause_3,negated_conjecture,
( ~ d
| c
| a ) ).
cnf(clause_4,negated_conjecture,
( d
| ~ c
| a ) ).
cnf(clause_5,negated_conjecture,
( d
| c
| ~ a ) ).
cnf(clause_6,negated_conjecture,
( ~ d
| ~ c
| ~ a ) ).
cnf(clause_7,negated_conjecture,
( ~ e
| c
| b ) ).
cnf(clause_8,negated_conjecture,
( e
| ~ c
| b ) ).
cnf(clause_9,negated_conjecture,
( e
| c
| ~ b ) ).
cnf(clause_10,negated_conjecture,
( ~ e
| ~ c
| ~ b ) ).
cnf(clause_11,negated_conjecture,
( ~ e
| d ) ).
cnf(clause_12,negated_conjecture,
( e
| ~ d ) ).
cnf(c0,plain,
( b
| a ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ b
| ~ a ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ d
| c
| a ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( d
| ~ c
| a ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( d
| c
| ~ a ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( ~ d
| ~ c
| ~ a ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ e
| c
| b ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
( e
| ~ c
| b ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c8,plain,
( e
| c
| ~ b ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( ~ e
| ~ c
| ~ b ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c10,plain,
( ~ e
| d ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(c11,plain,
( e
| ~ d ),
inference(clausification,[status(esa)],[clause_12]) ).
cnf(d0,plain,
( a
| e
| c ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(d1,plain,
( d
| c
| a ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
( c
| a
| c
| a ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( c
| d
| c ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( e
| c ),
inference(resolution,[status(thm)],[d3,c11]) ).
cnf(d5,plain,
( c
| b
| c ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( ~ a
| c ),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( c
| c ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ d
| ~ a ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( e
| b ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d10,plain,
( d
| b ),
inference(resolution,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
( ~ a
| b ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ e
| ~ b ),
inference(resolution,[status(thm)],[d7,c9]) ).
cnf(d13,plain,
( d
| a ),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d14,plain,
( e
| a ),
inference(resolution,[status(thm)],[d13,c11]) ).
cnf(d15,plain,
( ~ b
| a ),
inference(resolution,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
( a
| a ),
inference(resolution,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
b,
inference(resolution,[status(thm)],[d16,d11]) ).
cnf(d18,plain,
~ b,
inference(resolution,[status(thm)],[d16,c1]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 13:48:03 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/3.05 % SZS status Unsatisfiable for theBenchmark.p
% 10.53/3.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------