TSTP Solution File: LCL644+1.001 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 : Sun Jul 17 12:53:38 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 53 ( 32 avg)
% Number of connectives : 260 ( 104 ~; 100 |; 52 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 15 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 60 ( 0 sgn 59 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) ) )
| p1(X) )
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ ( p1(X)
& ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
& p1(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ( ~ ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) ) )
| p1(X) )
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ ( p1(X)
& ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
& p1(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& ~ p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
=> ~ p1(Y) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ( ~ ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) ) )
| p1(X) )
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ ( p1(X)
& ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
& p1(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& ~ p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
=> ~ p1(Y) ) ),
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n008.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 : Sun Jul 3 21:59:53 EDT 2022
% 0.12/0.34 % 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
% 0.12/0.35
%------------------------------------------------------------------------------