TSTP Solution File: SYN007+1.014 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Thu Jul 21 08:58:20 EDT 2022
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 243 ( 160 unt; 0 def)
% Number of atoms : 2068 ( 0 equ)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 2075 ( 250 ~; 0 |; 858 &)
% ( 911 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 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,
( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(subgoal_0,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13 )
=> p_14 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_1,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_14 )
=> p_13 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_2,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& ( p_13
<=> p_14 ) )
=> p_12 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_3,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& ( p_12
<=> ( p_13
<=> p_14 ) ) )
=> p_11 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_4,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) )
=> p_10 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_5,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) )
=> p_9 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_6,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) )
=> p_8 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_7,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) )
=> p_7 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_8,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) )
=> p_6 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_9,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) )
=> p_5 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_10,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) )
=> p_4 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_11,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) )
=> p_3 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_12,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) )
=> p_2 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_13,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_1 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_14,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_14 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_15,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_13 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_16,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_12 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_17,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_11 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_18,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_10 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_19,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_9 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_20,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_8 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_21,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_7 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_22,plain,
( ( p_1
& p_2
& p_3
& p_4
& p_5
& ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_6 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_23,plain,
( ( p_1
& p_2
& p_3
& p_4
& ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_5 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_24,plain,
( ( p_1
& p_2
& p_3
& ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_4 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_25,plain,
( ( p_1
& p_2
& ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_3 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_26,plain,
( ( p_1
& ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_2 ),
inference(strip,[],[prove_this]) ).
fof(subgoal_27,plain,
( ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_1 ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13 )
=> p_14 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_14 )
=> p_13 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
$false,
inference(canonicalize,[],[negate_1_0]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_0]) ).
fof(negate_2_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& ( p_13
<=> p_14 ) )
=> p_12 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
$false,
inference(canonicalize,[],[negate_2_0]) ).
cnf(refute_2_0,plain,
$false,
inference(canonicalize,[],[normalize_2_0]) ).
fof(negate_3_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& ( p_12
<=> ( p_13
<=> p_14 ) ) )
=> p_11 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
$false,
inference(canonicalize,[],[negate_3_0]) ).
cnf(refute_3_0,plain,
$false,
inference(canonicalize,[],[normalize_3_0]) ).
fof(negate_4_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) )
=> p_10 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
$false,
inference(canonicalize,[],[negate_4_0]) ).
cnf(refute_4_0,plain,
$false,
inference(canonicalize,[],[normalize_4_0]) ).
fof(negate_5_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) )
=> p_9 ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
$false,
inference(canonicalize,[],[negate_5_0]) ).
cnf(refute_5_0,plain,
$false,
inference(canonicalize,[],[normalize_5_0]) ).
fof(negate_6_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) )
=> p_8 ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
$false,
inference(canonicalize,[],[negate_6_0]) ).
cnf(refute_6_0,plain,
$false,
inference(canonicalize,[],[normalize_6_0]) ).
fof(negate_7_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) )
=> p_7 ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
$false,
inference(canonicalize,[],[negate_7_0]) ).
cnf(refute_7_0,plain,
$false,
inference(canonicalize,[],[normalize_7_0]) ).
fof(negate_8_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& p_5
& ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) )
=> p_6 ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
$false,
inference(canonicalize,[],[negate_8_0]) ).
cnf(refute_8_0,plain,
$false,
inference(canonicalize,[],[normalize_8_0]) ).
fof(negate_9_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& p_4
& ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) )
=> p_5 ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
$false,
inference(canonicalize,[],[negate_9_0]) ).
cnf(refute_9_0,plain,
$false,
inference(canonicalize,[],[normalize_9_0]) ).
fof(negate_10_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& p_3
& ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) )
=> p_4 ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
$false,
inference(canonicalize,[],[negate_10_0]) ).
cnf(refute_10_0,plain,
$false,
inference(canonicalize,[],[normalize_10_0]) ).
fof(negate_11_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& p_2
& ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) )
=> p_3 ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
$false,
inference(canonicalize,[],[negate_11_0]) ).
cnf(refute_11_0,plain,
$false,
inference(canonicalize,[],[normalize_11_0]) ).
fof(negate_12_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& p_1
& ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) )
=> p_2 ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
$false,
inference(canonicalize,[],[negate_12_0]) ).
cnf(refute_12_0,plain,
$false,
inference(canonicalize,[],[normalize_12_0]) ).
fof(negate_13_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& p_14
& ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_1 ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
$false,
inference(canonicalize,[],[negate_13_0]) ).
cnf(refute_13_0,plain,
$false,
inference(canonicalize,[],[normalize_13_0]) ).
fof(negate_14_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& p_13
& ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_14 ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( ~ p_14
& p_1
& p_10
& p_11
& p_12
& p_13
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_13
<=> ( ~ p_14
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_13
<=> ( ~ p_14
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
p_1,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_3,plain,
p_10,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_4,plain,
p_11,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_5,plain,
p_12,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_6,plain,
p_13,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_7,plain,
~ p_14,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_8,plain,
p_2,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_9,plain,
p_3,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_10,plain,
p_4,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_11,plain,
p_5,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_12,plain,
p_6,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_13,plain,
p_7,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_14,plain,
p_8,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_15,plain,
p_9,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_16,plain,
$false,
inference(simplify,[],[normalize_14_1,normalize_14_2,normalize_14_3,normalize_14_4,normalize_14_5,normalize_14_6,normalize_14_7,normalize_14_8,normalize_14_9,normalize_14_10,normalize_14_11,normalize_14_12,normalize_14_13,normalize_14_14,normalize_14_15]) ).
cnf(refute_14_0,plain,
$false,
inference(canonicalize,[],[normalize_14_16]) ).
fof(negate_15_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& p_12
& ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_13 ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( ~ p_13
& p_1
& p_10
& p_11
& p_12
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_13
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_13
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_2,plain,
p_1,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_3,plain,
p_10,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_4,plain,
p_11,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_5,plain,
p_12,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_6,plain,
~ p_13,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_7,plain,
p_2,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_8,plain,
p_3,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_9,plain,
p_4,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_10,plain,
p_5,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_11,plain,
p_6,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_12,plain,
p_7,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_13,plain,
p_8,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_14,plain,
p_9,
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_15,plain,
$false,
inference(simplify,[],[normalize_15_1,normalize_15_2,normalize_15_3,normalize_15_4,normalize_15_5,normalize_15_6,normalize_15_7,normalize_15_8,normalize_15_9,normalize_15_10,normalize_15_11,normalize_15_12,normalize_15_13,normalize_15_14]) ).
cnf(refute_15_0,plain,
$false,
inference(canonicalize,[],[normalize_15_15]) ).
fof(negate_16_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& p_11
& ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_12 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( ~ p_12
& p_1
& p_10
& p_11
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_1,plain,
( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_12
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_2,plain,
p_1,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_3,plain,
p_10,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_4,plain,
p_11,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_5,plain,
~ p_12,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_6,plain,
p_2,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_7,plain,
p_3,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_8,plain,
p_4,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_9,plain,
p_5,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_10,plain,
p_6,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_11,plain,
p_7,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_12,plain,
p_8,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_13,plain,
p_9,
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_14,plain,
$false,
inference(simplify,[],[normalize_16_1,normalize_16_2,normalize_16_3,normalize_16_4,normalize_16_5,normalize_16_6,normalize_16_7,normalize_16_8,normalize_16_9,normalize_16_10,normalize_16_11,normalize_16_12,normalize_16_13]) ).
cnf(refute_16_0,plain,
$false,
inference(canonicalize,[],[normalize_16_14]) ).
fof(negate_17_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& p_10
& ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_11 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( ~ p_11
& p_1
& p_10
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_11
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_2,plain,
p_1,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_3,plain,
p_10,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_4,plain,
~ p_11,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_5,plain,
p_2,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_6,plain,
p_3,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_7,plain,
p_4,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_8,plain,
p_5,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_9,plain,
p_6,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_10,plain,
p_7,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_11,plain,
p_8,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_12,plain,
p_9,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_13,plain,
$false,
inference(simplify,[],[normalize_17_1,normalize_17_2,normalize_17_3,normalize_17_4,normalize_17_5,normalize_17_6,normalize_17_7,normalize_17_8,normalize_17_9,normalize_17_10,normalize_17_11,normalize_17_12]) ).
cnf(refute_17_0,plain,
$false,
inference(canonicalize,[],[normalize_17_13]) ).
fof(negate_18_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_10 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( ~ p_10
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& p_9
& ( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
( ~ p_1
<=> ( ~ p_10
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> ~ p_9 ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_2,plain,
p_1,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_3,plain,
~ p_10,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_4,plain,
p_2,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_5,plain,
p_3,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_6,plain,
p_4,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_7,plain,
p_5,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_8,plain,
p_6,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_9,plain,
p_7,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_10,plain,
p_8,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_11,plain,
p_9,
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_12,plain,
$false,
inference(simplify,[],[normalize_18_1,normalize_18_2,normalize_18_3,normalize_18_4,normalize_18_5,normalize_18_6,normalize_18_7,normalize_18_8,normalize_18_9,normalize_18_10,normalize_18_11]) ).
cnf(refute_18_0,plain,
$false,
inference(canonicalize,[],[normalize_18_12]) ).
fof(negate_19_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_9 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( ~ p_9
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& p_8
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ( ~ p_8
<=> p_9 ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_2,plain,
p_1,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_3,plain,
p_2,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_4,plain,
p_3,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_5,plain,
p_4,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_6,plain,
p_5,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_7,plain,
p_6,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_8,plain,
p_7,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_9,plain,
p_8,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_10,plain,
~ p_9,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_11,plain,
$false,
inference(simplify,[],[normalize_19_1,normalize_19_2,normalize_19_3,normalize_19_4,normalize_19_5,normalize_19_6,normalize_19_7,normalize_19_8,normalize_19_9,normalize_19_10]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_11]) ).
fof(negate_20_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_8 ),
inference(negate,[],[subgoal_20]) ).
fof(normalize_20_0,plain,
( ~ p_8
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& p_7
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ~ p_8 ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_20_0]) ).
fof(normalize_20_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> ( ~ p_7
<=> ~ p_8 ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_2,plain,
p_1,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_3,plain,
p_2,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_4,plain,
p_3,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_5,plain,
p_4,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_6,plain,
p_5,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_7,plain,
p_6,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_8,plain,
p_7,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_9,plain,
~ p_8,
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_10,plain,
$false,
inference(simplify,[],[normalize_20_1,normalize_20_2,normalize_20_3,normalize_20_4,normalize_20_5,normalize_20_6,normalize_20_7,normalize_20_8,normalize_20_9]) ).
cnf(refute_20_0,plain,
$false,
inference(canonicalize,[],[normalize_20_10]) ).
fof(negate_21_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_7 ),
inference(negate,[],[subgoal_21]) ).
fof(normalize_21_0,plain,
( ~ p_7
& p_1
& p_2
& p_3
& p_4
& p_5
& p_6
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> p_7 ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_21_0]) ).
fof(normalize_21_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ( ~ p_6
<=> p_7 ) ) ) ) ) ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_2,plain,
p_1,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_3,plain,
p_2,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_4,plain,
p_3,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_5,plain,
p_4,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_6,plain,
p_5,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_7,plain,
p_6,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_8,plain,
~ p_7,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_9,plain,
$false,
inference(simplify,[],[normalize_21_1,normalize_21_2,normalize_21_3,normalize_21_4,normalize_21_5,normalize_21_6,normalize_21_7,normalize_21_8]) ).
cnf(refute_21_0,plain,
$false,
inference(canonicalize,[],[normalize_21_9]) ).
fof(negate_22_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& p_5
& ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_6 ),
inference(negate,[],[subgoal_22]) ).
fof(normalize_22_0,plain,
( ~ p_6
& p_1
& p_2
& p_3
& p_4
& p_5
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ~ p_6 ) ) ) ) ) ),
inference(canonicalize,[],[negate_22_0]) ).
fof(normalize_22_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> ( ~ p_5
<=> ~ p_6 ) ) ) ) ),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_2,plain,
p_1,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_3,plain,
p_2,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_4,plain,
p_3,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_5,plain,
p_4,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_6,plain,
p_5,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_7,plain,
~ p_6,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_8,plain,
$false,
inference(simplify,[],[normalize_22_1,normalize_22_2,normalize_22_3,normalize_22_4,normalize_22_5,normalize_22_6,normalize_22_7]) ).
cnf(refute_22_0,plain,
$false,
inference(canonicalize,[],[normalize_22_8]) ).
fof(negate_23_0,plain,
~ ( ( p_1
& p_2
& p_3
& p_4
& ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_5 ),
inference(negate,[],[subgoal_23]) ).
fof(normalize_23_0,plain,
( ~ p_5
& p_1
& p_2
& p_3
& p_4
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> p_5 ) ) ) ) ),
inference(canonicalize,[],[negate_23_0]) ).
fof(normalize_23_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ( ~ p_4
<=> p_5 ) ) ) ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_2,plain,
p_1,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_3,plain,
p_2,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_4,plain,
p_3,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_5,plain,
p_4,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_6,plain,
~ p_5,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_7,plain,
$false,
inference(simplify,[],[normalize_23_1,normalize_23_2,normalize_23_3,normalize_23_4,normalize_23_5,normalize_23_6]) ).
cnf(refute_23_0,plain,
$false,
inference(canonicalize,[],[normalize_23_7]) ).
fof(negate_24_0,plain,
~ ( ( p_1
& p_2
& p_3
& ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_4 ),
inference(negate,[],[subgoal_24]) ).
fof(normalize_24_0,plain,
( ~ p_4
& p_1
& p_2
& p_3
& ( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ~ p_4 ) ) ) ),
inference(canonicalize,[],[negate_24_0]) ).
fof(normalize_24_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> ( ~ p_3
<=> ~ p_4 ) ) ),
inference(conjunct,[],[normalize_24_0]) ).
fof(normalize_24_2,plain,
p_1,
inference(conjunct,[],[normalize_24_0]) ).
fof(normalize_24_3,plain,
p_2,
inference(conjunct,[],[normalize_24_0]) ).
fof(normalize_24_4,plain,
p_3,
inference(conjunct,[],[normalize_24_0]) ).
fof(normalize_24_5,plain,
~ p_4,
inference(conjunct,[],[normalize_24_0]) ).
fof(normalize_24_6,plain,
$false,
inference(simplify,[],[normalize_24_1,normalize_24_2,normalize_24_3,normalize_24_4,normalize_24_5]) ).
cnf(refute_24_0,plain,
$false,
inference(canonicalize,[],[normalize_24_6]) ).
fof(negate_25_0,plain,
~ ( ( p_1
& p_2
& ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_3 ),
inference(negate,[],[subgoal_25]) ).
fof(normalize_25_0,plain,
( ~ p_3
& p_1
& p_2
& ( ~ p_1
<=> ( ~ p_2
<=> p_3 ) ) ),
inference(canonicalize,[],[negate_25_0]) ).
fof(normalize_25_1,plain,
( ~ p_1
<=> ( ~ p_2
<=> p_3 ) ),
inference(conjunct,[],[normalize_25_0]) ).
fof(normalize_25_2,plain,
p_1,
inference(conjunct,[],[normalize_25_0]) ).
fof(normalize_25_3,plain,
p_2,
inference(conjunct,[],[normalize_25_0]) ).
fof(normalize_25_4,plain,
~ p_3,
inference(conjunct,[],[normalize_25_0]) ).
fof(normalize_25_5,plain,
$false,
inference(simplify,[],[normalize_25_1,normalize_25_2,normalize_25_3,normalize_25_4]) ).
cnf(refute_25_0,plain,
$false,
inference(canonicalize,[],[normalize_25_5]) ).
fof(negate_26_0,plain,
~ ( ( p_1
& ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_2 ),
inference(negate,[],[subgoal_26]) ).
fof(normalize_26_0,plain,
( ~ p_2
& p_1
& ( ~ p_1
<=> ~ p_2 ) ),
inference(canonicalize,[],[negate_26_0]) ).
fof(normalize_26_1,plain,
( ~ p_1
<=> ~ p_2 ),
inference(conjunct,[],[normalize_26_0]) ).
fof(normalize_26_2,plain,
p_1,
inference(conjunct,[],[normalize_26_0]) ).
fof(normalize_26_3,plain,
~ p_2,
inference(conjunct,[],[normalize_26_0]) ).
fof(normalize_26_4,plain,
$false,
inference(simplify,[],[normalize_26_1,normalize_26_2,normalize_26_3]) ).
cnf(refute_26_0,plain,
$false,
inference(canonicalize,[],[normalize_26_4]) ).
fof(negate_27_0,plain,
~ ( ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> p_1 ),
inference(negate,[],[subgoal_27]) ).
fof(normalize_27_0,plain,
$false,
inference(canonicalize,[],[negate_27_0]) ).
cnf(refute_27_0,plain,
$false,
inference(canonicalize,[],[normalize_27_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 12 04:43:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------