TSTP Solution File: SYN393+1.003 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 09:02:04 EDT 2022
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 53 ( 26 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 159 ( 50 ~; 0 |; 36 &)
% ( 61 <=>; 12 =>; 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(pel12,conjecture,
( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ) ).
fof(subgoal_0,plain,
( ( ( ( p1
<=> p2 )
<=> p3 )
& p1
& p2 )
=> p3 ),
inference(strip,[],[pel12]) ).
fof(subgoal_1,plain,
( ( ( ( p1
<=> p2 )
<=> p3 )
& p1
& p3 )
=> p2 ),
inference(strip,[],[pel12]) ).
fof(subgoal_2,plain,
( ( ( ( p1
<=> p2 )
<=> p3 )
& ( p2
<=> p3 ) )
=> p1 ),
inference(strip,[],[pel12]) ).
fof(subgoal_3,plain,
( ( ( p1
<=> ( p2
<=> p3 ) )
& ( p1
<=> p2 ) )
=> p3 ),
inference(strip,[],[pel12]) ).
fof(subgoal_4,plain,
( ( ( p1
<=> ( p2
<=> p3 ) )
& p3
& p1 )
=> p2 ),
inference(strip,[],[pel12]) ).
fof(subgoal_5,plain,
( ( ( p1
<=> ( p2
<=> p3 ) )
& p3
& p2 )
=> p1 ),
inference(strip,[],[pel12]) ).
fof(negate_0_0,plain,
~ ( ( ( ( p1
<=> p2 )
<=> p3 )
& p1
& p2 )
=> p3 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ p3
& p1
& p2
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
p1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
p2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
~ p3,
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,
~ ( ( ( ( p1
<=> p2 )
<=> p3 )
& p1
& p3 )
=> p2 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ p2
& p1
& p3
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
p1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
~ p2,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
p3,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_5,plain,
$false,
inference(simplify,[],[normalize_1_1,normalize_1_2,normalize_1_3,normalize_1_4]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_5]) ).
fof(negate_2_0,plain,
~ ( ( ( ( p1
<=> p2 )
<=> p3 )
& ( p2
<=> p3 ) )
=> p1 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ~ p1
& ( ~ p2
<=> ~ p3 )
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( ~ p2
<=> ~ p3 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_3,plain,
~ p1,
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,
~ ( ( ( p1
<=> ( p2
<=> p3 ) )
& ( p1
<=> p2 ) )
=> p3 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ~ p3
& ( ~ p1
<=> ~ p2 )
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( ~ p1
<=> ~ p2 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_3,plain,
~ p3,
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]) ).
fof(negate_4_0,plain,
~ ( ( ( p1
<=> ( p2
<=> p3 ) )
& p3
& p1 )
=> p2 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( ~ p2
& p1
& p3
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
p1,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_3,plain,
~ p2,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_4,plain,
p3,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_5,plain,
$false,
inference(simplify,[],[normalize_4_1,normalize_4_2,normalize_4_3,normalize_4_4]) ).
cnf(refute_4_0,plain,
$false,
inference(canonicalize,[],[normalize_4_5]) ).
fof(negate_5_0,plain,
~ ( ( ( p1
<=> ( p2
<=> p3 ) )
& p3
& p2 )
=> p1 ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( ~ p1
& p2
& p3
& ( ~ p1
<=> ( ~ p2
<=> p3 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
( ~ p1
<=> ( ~ p2
<=> p3 ) ),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
~ p1,
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_3,plain,
p2,
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_4,plain,
p3,
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_5,plain,
$false,
inference(simplify,[],[normalize_5_1,normalize_5_2,normalize_5_3,normalize_5_4]) ).
cnf(refute_5_0,plain,
$false,
inference(canonicalize,[],[normalize_5_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 21:35:42 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.36
%------------------------------------------------------------------------------