%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 07:19:50 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 4 unt; 17 nHn; 30 RR)
% Number of literals : 68 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 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,
( a
| b ) ).
cnf(clause_2,negated_conjecture,
( ~ a
| ~ b ) ).
cnf(clause_3,negated_conjecture,
( a
| c
| ~ d ) ).
cnf(clause_4,negated_conjecture,
( a
| ~ c
| d ) ).
cnf(clause_5,negated_conjecture,
( ~ a
| c
| d ) ).
cnf(clause_6,negated_conjecture,
( ~ a
| ~ c
| ~ d ) ).
cnf(clause_7,negated_conjecture,
( b
| c
| ~ e ) ).
cnf(clause_8,negated_conjecture,
( b
| ~ c
| e ) ).
cnf(clause_9,negated_conjecture,
( ~ b
| c
| e ) ).
cnf(clause_10,negated_conjecture,
( ~ b
| ~ c
| ~ e ) ).
cnf(clause_11,negated_conjecture,
( d
| ~ e ) ).
cnf(clause_12,negated_conjecture,
( ~ d
| e ) ).
cnf(refute_0_0,plain,
( a
| c
| e ),
inference(resolve,[$cnf( b )],[clause_1,clause_9]) ).
cnf(refute_0_1,plain,
( a
| c
| d ),
inference(resolve,[$cnf( e )],[refute_0_0,clause_11]) ).
cnf(refute_0_2,plain,
( a
| c ),
inference(resolve,[$cnf( d )],[refute_0_1,clause_3]) ).
cnf(refute_0_3,plain,
( a
| d ),
inference(resolve,[$cnf( c )],[refute_0_2,clause_4]) ).
cnf(refute_0_4,plain,
( a
| e ),
inference(resolve,[$cnf( d )],[refute_0_3,clause_12]) ).
cnf(refute_0_5,plain,
( ~ b
| ~ c
| a ),
inference(resolve,[$cnf( e )],[refute_0_4,clause_10]) ).
cnf(refute_0_6,plain,
( ~ b
| a ),
inference(resolve,[$cnf( c )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
a,
inference(resolve,[$cnf( b )],[clause_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( c
| d ),
inference(resolve,[$cnf( a )],[refute_0_7,clause_5]) ).
cnf(refute_0_9,plain,
( c
| e ),
inference(resolve,[$cnf( d )],[refute_0_8,clause_12]) ).
cnf(refute_0_10,plain,
( b
| c ),
inference(resolve,[$cnf( e )],[refute_0_9,clause_7]) ).
cnf(refute_0_11,plain,
( b
| e ),
inference(resolve,[$cnf( c )],[refute_0_10,clause_8]) ).
cnf(refute_0_12,plain,
( b
| d ),
inference(resolve,[$cnf( e )],[refute_0_11,clause_11]) ).
cnf(refute_0_13,plain,
( ~ a
| ~ c
| b ),
inference(resolve,[$cnf( d )],[refute_0_12,clause_6]) ).
cnf(refute_0_14,plain,
( ~ c
| b ),
inference(resolve,[$cnf( a )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
b,
inference(resolve,[$cnf( c )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
~ a,
inference(resolve,[$cnf( b )],[refute_0_15,clause_2]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( a )],[refute_0_7,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 02:59:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------