%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:47:09 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 18 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel10_2,axiom,
( r
=> ( p
& q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).
fof(c6,plain,
( ~ r
| ( p
& q ) ),
inference(fof_nnf,[status(thm)],[pel10_2]) ).
fof(c7,plain,
( ( ~ r
| p )
& ( ~ r
| q ) ),
inference(distribute,[status(thm)],[c6]) ).
cnf(c8,plain,
( ~ r
| p ),
inference(split_conjunct,[status(thm)],[c7]) ).
fof(pel10,conjecture,
( p
<=> q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).
fof(c0,negated_conjecture,
~ ( p
<=> q ),
inference(assume_negation,[status(cth)],[pel10]) ).
fof(c1,negated_conjecture,
( ( ~ p
| ~ q )
& ( p
| q ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
cnf(c3,negated_conjecture,
( p
| q ),
inference(split_conjunct,[status(thm)],[c1]) ).
fof(pel10_1,axiom,
( q
=> r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).
fof(c10,plain,
( ~ q
| r ),
inference(fof_nnf,[status(thm)],[pel10_1]) ).
cnf(c11,plain,
( ~ q
| r ),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c13,plain,
( r
| p ),
inference(resolution,[status(thm)],[c11,c3]) ).
cnf(c15,plain,
p,
inference(resolution,[status(thm)],[c13,c8]) ).
cnf(c2,negated_conjecture,
( ~ p
| ~ q ),
inference(split_conjunct,[status(thm)],[c1]) ).
cnf(c9,plain,
( ~ r
| q ),
inference(split_conjunct,[status(thm)],[c7]) ).
fof(pel10_3,axiom,
( p
=> ( q
| r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).
fof(c4,plain,
( ~ p
| q
| r ),
inference(fof_nnf,[status(thm)],[pel10_3]) ).
cnf(c5,plain,
( ~ p
| q
| r ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c14,plain,
( q
| r ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(c21,plain,
q,
inference(resolution,[status(thm)],[c14,c9]) ).
cnf(c23,plain,
~ p,
inference(resolution,[status(thm)],[c21,c2]) ).
cnf(c24,plain,
$false,
inference(resolution,[status(thm)],[c23,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 20:13:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.53 % Version: 1.5
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 % SZS output start CNFRefutation
% See solution above
% 0.21/0.53
% 0.21/0.53 % Initial clauses : 6
% 0.21/0.53 % Processed clauses : 12
% 0.21/0.53 % Factors computed : 0
% 0.21/0.53 % Resolvents computed: 13
% 0.21/0.53 % Tautologies deleted: 1
% 0.21/0.53 % Forward subsumed : 2
% 0.21/0.53 % Backward subsumed : 8
% 0.21/0.53 % -------- CPU Time ---------
% 0.21/0.53 % User time : 0.155 s
% 0.21/0.53 % System time : 0.016 s
% 0.21/0.53 % Total time : 0.171 s
%------------------------------------------------------------------------------