%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 : 300s
% DateTime : Thu May 9 17:49:46 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 3 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( a
& b )
=> ( a
<=> b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c0,negated_conjecture,
~ ( ( a
& b )
=> ( a
<=> b ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c1,negated_conjecture,
( a
& b
& ( ~ a
| ~ b )
& ( a
| b ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
cnf(c2,negated_conjecture,
a,
inference(split_conjunct,[status(thm)],[c1]) ).
cnf(c3,negated_conjecture,
b,
inference(split_conjunct,[status(thm)],[c1]) ).
cnf(c4,negated_conjecture,
( ~ a
| ~ b ),
inference(split_conjunct,[status(thm)],[c1]) ).
cnf(c6,plain,
~ a,
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(c7,plain,
$false,
inference(resolution,[status(thm)],[c6,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 20:15:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % Version: 1.5
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
% 0.20/0.52
% 0.20/0.52 % Initial clauses : 4
% 0.20/0.52 % Processed clauses : 4
% 0.20/0.52 % Factors computed : 0
% 0.20/0.52 % Resolvents computed: 2
% 0.20/0.52 % Tautologies deleted: 0
% 0.20/0.52 % Forward subsumed : 0
% 0.20/0.52 % Backward subsumed : 1
% 0.20/0.52 % -------- CPU Time ---------
% 0.20/0.52 % User time : 0.151 s
% 0.20/0.52 % System time : 0.015 s
% 0.20/0.52 % Total time : 0.165 s
%------------------------------------------------------------------------------