TSTP Solution File: SYN045+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 08:58:52 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 104 ( 28 ~; 29 |; 38 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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(pel13,conjecture,
( ( p
| ( q
& r ) )
<=> ( ( p
| q )
& ( p
| r ) ) ) ).
fof(subgoal_0,plain,
( ( ( p
| ( q
& r ) )
& ~ p )
=> q ),
inference(strip,[],[pel13]) ).
fof(subgoal_1,plain,
( ( ( p
| ( q
& r ) )
& ( p
| q )
& ~ p )
=> r ),
inference(strip,[],[pel13]) ).
fof(subgoal_2,plain,
( ( ( p
| q )
& ( p
| r )
& ~ p )
=> q ),
inference(strip,[],[pel13]) ).
fof(subgoal_3,plain,
( ( ( p
| q )
& ( p
| r )
& ~ p
& q )
=> r ),
inference(strip,[],[pel13]) ).
fof(negate_0_0,plain,
~ ( ( ( p
| ( q
& r ) )
& ~ p )
=> q ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ p
& ~ q
& ( p
| ( q
& r ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( p
| ( q
& r ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ p,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
~ q,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
$false,
inference(simplify,[],[normalize_0_1,normalize_0_2,normalize_0_3]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_4]) ).
fof(negate_1_0,plain,
~ ( ( ( p
| ( q
& r ) )
& ( p
| q )
& ~ p )
=> r ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ p
& ~ r
& ( p
| q )
& ( p
| ( q
& r ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( p
| ( q
& r ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ p,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
( p
| q ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
q,
inference(simplify,[],[normalize_1_3,normalize_1_2]) ).
fof(normalize_1_5,plain,
~ r,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
$false,
inference(simplify,[],[normalize_1_1,normalize_1_2,normalize_1_4,normalize_1_5]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_6]) ).
fof(negate_2_0,plain,
~ ( ( ( p
| q )
& ( p
| r )
& ~ p )
=> q ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ~ p
& ~ q
& ( p
| q )
& ( p
| r ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( p
| q ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
~ p,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_3,plain,
~ q,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_4,plain,
$false,
inference(simplify,[],[normalize_2_1,normalize_2_2,normalize_2_3]) ).
cnf(refute_2_0,plain,
$false,
inference(canonicalize,[],[normalize_2_4]) ).
fof(negate_3_0,plain,
~ ( ( ( p
| q )
& ( p
| r )
& ~ p
& q )
=> r ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ~ p
& ~ r
& q
& ( p
| q )
& ( p
| r ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( p
| r ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
~ p,
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_3,plain,
~ r,
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_4,plain,
$false,
inference(simplify,[],[normalize_3_1,normalize_3_2,normalize_3_3]) ).
cnf(refute_3_0,plain,
$false,
inference(canonicalize,[],[normalize_3_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n010.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 : Mon Jul 11 20:16:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------