TSTP Solution File: SYN047+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 : Thu Jul 21 08:58:54 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 152 ( 57 ~; 39 |; 37 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel17,conjecture,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ) ).
fof(subgoal_0,plain,
( ( ( ( p
& ( q
=> r ) )
=> s )
& ~ ~ p
& ~ q )
=> s ),
inference(strip,[],[pel17]) ).
fof(subgoal_1,plain,
( ( ( ( p
& ( q
=> r ) )
=> s )
& ( ~ p
| q
| s )
& ~ ~ p
& ~ ~ r )
=> s ),
inference(strip,[],[pel17]) ).
fof(subgoal_2,plain,
( ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s )
& p
& ( q
=> r ) )
=> s ),
inference(strip,[],[pel17]) ).
fof(negate_0_0,plain,
~ ( ( ( ( p
& ( q
=> r ) )
=> s )
& ~ ~ p
& ~ q )
=> s ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ q
& ~ s
& p
& ( ~ p
| s
| ( ~ r
& q ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ p
| s
| ( ~ r
& q ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
p,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
~ s,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
~ q,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
$false,
inference(simplify,[],[normalize_0_1,normalize_0_2,normalize_0_3,normalize_0_4]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_5]) ).
fof(negate_1_0,plain,
~ ( ( ( ( p
& ( q
=> r ) )
=> s )
& ( ~ p
| q
| s )
& ~ ~ p
& ~ ~ r )
=> s ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ s
& p
& r
& ( ~ p
| q
| s )
& ( ~ p
| s
| ( ~ r
& q ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ p
| s
| ( ~ r
& q ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
p,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
~ s,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
r,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_5,plain,
( ~ p
| q
| s ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
q,
inference(simplify,[],[normalize_1_5,normalize_1_2,normalize_1_3]) ).
fof(normalize_1_7,plain,
$false,
inference(simplify,[],[normalize_1_1,normalize_1_2,normalize_1_3,normalize_1_4,normalize_1_6]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_7]) ).
fof(negate_2_0,plain,
~ ( ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s )
& p
& ( q
=> r ) )
=> s ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ~ s
& p
& ( ~ q
| r )
& ( ~ p
| ~ r
| s )
& ( ~ p
| q
| s ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( ~ q
| r ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( ~ p
| q
| s ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_3,plain,
p,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_4,plain,
~ s,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_5,plain,
q,
inference(simplify,[],[normalize_2_2,normalize_2_3,normalize_2_4]) ).
fof(normalize_2_6,plain,
( ~ p
| ~ r
| s ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_7,plain,
~ r,
inference(simplify,[],[normalize_2_6,normalize_2_3,normalize_2_4]) ).
cnf(refute_2_0,plain,
( ~ q
| r ),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
q,
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_2,plain,
r,
inference(resolve,[$cnf( q )],[refute_2_1,refute_2_0]) ).
cnf(refute_2_3,plain,
~ r,
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_4,plain,
$false,
inference(resolve,[$cnf( r )],[refute_2_2,refute_2_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 07:42:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------