TSTP Solution File: ALG194+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 14 17:38:40 EDT 2022
% Result : Theorem 0.78s 0.98s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 200 ( 196 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 298 ( 125 ~; 62 |; 107 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ) ).
fof(subgoal_0,plain,
( ( ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
& ~ ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
& op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5 )
=> op(e6,e6) = e6 ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
& ~ ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ~ ( op(e0,e0) != e0 )
& ~ ( op(e1,e1) != e1 )
& ~ ( op(e2,e2) != e2 )
& ~ ( op(e3,e3) != e3 )
& ~ ( op(e4,e4) != e4 )
& ~ ( op(e5,e5) != e5 ) )
=> op(e6,e6) != e6 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
& ~ ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
& op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5 )
=> op(e6,e6) = e6 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
op(e0,e0) != e0,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
op(e1,e1) != e1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
op(e2,e2) != e2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
op(e3,e3) != e3,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
op(e4,e4) != e4,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
op(e5,e5) != e5,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
op(e6,e6) != e6,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_9,plain,
$false,
inference(simplify,[],[normalize_0_1,normalize_0_2,normalize_0_3,normalize_0_4,normalize_0_5,normalize_0_6,normalize_0_7,normalize_0_8]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_9]) ).
fof(negate_1_0,plain,
~ ( ( ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
& ~ ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ~ ( op(e0,e0) != e0 )
& ~ ( op(e1,e1) != e1 )
& ~ ( op(e2,e2) != e2 )
& ~ ( op(e3,e3) != e3 )
& ~ ( op(e4,e4) != e4 )
& ~ ( op(e5,e5) != e5 ) )
=> op(e6,e6) != e6 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
op(e0,e0) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
op(e1,e1) = e1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
op(e2,e2) = e2,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_5,plain,
op(e3,e3) = e3,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
op(e4,e4) = e4,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,plain,
op(e5,e5) = e5,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_8,plain,
op(e6,e6) = e6,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_9,plain,
$false,
inference(simplify,[],[normalize_1_1,normalize_1_2,normalize_1_3,normalize_1_4,normalize_1_5,normalize_1_6,normalize_1_7,normalize_1_8]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 03:39:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/0.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.98
% 0.78/0.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.78/0.99
%------------------------------------------------------------------------------