%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 00:59:44 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 82 ( 37 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 83 ( 39 ~; 29 |; 7 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_state__not__singleton__def,axiom,
( hoare_165779456gleton
<=> ? [S,T] :
( is_state(S)
& is_state(T)
& S != T ) ) ).
fof(conj_0,hypothesis,
hoare_165779456gleton ).
fof(conj_1,conjecture,
! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ) ).
fof(subgoal_0,plain,
! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
inference(strip,[],[conj_1]) ).
fof(negate_0_0,plain,
~ ! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ hoare_165779456gleton
<=> ! [S,T] :
( ~ is_state(S)
| ~ is_state(T)
| S = T ) ),
inference(canonicalize,[],[fact_0_state__not__singleton__def]) ).
fof(normalize_0_1,plain,
! [S,T] :
( ( skolemFOFtoCNF_S != skolemFOFtoCNF_T
| ~ hoare_165779456gleton )
& ( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_S) )
& ( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_T) )
& ( ~ is_state(S)
| ~ is_state(T)
| S = T
| hoare_165779456gleton ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_T) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
hoare_165779456gleton,
inference(canonicalize,[],[conj_0]) ).
fof(normalize_0_4,plain,
? [T] :
( is_state(T)
& ! [S] :
( ~ is_state(S)
| S = T ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( is_state(skolemFOFtoCNF_T_1)
& ! [S] :
( ~ is_state(S)
| S = skolemFOFtoCNF_T_1 ) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [S] :
( ~ is_state(S)
| S = skolemFOFtoCNF_T_1 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [S] :
( ~ is_state(S)
| S = skolemFOFtoCNF_T_1 ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_S) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
( skolemFOFtoCNF_S != skolemFOFtoCNF_T
| ~ hoare_165779456gleton ),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_T) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
hoare_165779456gleton,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
is_state(skolemFOFtoCNF_T),
inference(resolve,[$cnf( hoare_165779456gleton )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ is_state(S)
| S = skolemFOFtoCNF_T_1 ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ is_state(skolemFOFtoCNF_T)
| skolemFOFtoCNF_T = skolemFOFtoCNF_T_1 ),
inference(subst,[],[refute_0_3:[bind(S,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_5,plain,
skolemFOFtoCNF_T = skolemFOFtoCNF_T_1,
inference(resolve,[$cnf( is_state(skolemFOFtoCNF_T) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ hoare_165779456gleton
| is_state(skolemFOFtoCNF_S) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
is_state(skolemFOFtoCNF_S),
inference(resolve,[$cnf( hoare_165779456gleton )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ is_state(skolemFOFtoCNF_S)
| skolemFOFtoCNF_S = skolemFOFtoCNF_T_1 ),
inference(subst,[],[refute_0_3:[bind(S,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_9,plain,
skolemFOFtoCNF_S = skolemFOFtoCNF_T_1,
inference(resolve,[$cnf( is_state(skolemFOFtoCNF_S) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( skolemFOFtoCNF_S != skolemFOFtoCNF_T_1
| skolemFOFtoCNF_T_1 = skolemFOFtoCNF_S ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_S)),bind(Y,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_0_14,plain,
skolemFOFtoCNF_T_1 = skolemFOFtoCNF_S,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_S,skolemFOFtoCNF_T_1) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( skolemFOFtoCNF_T != skolemFOFtoCNF_T_1
| skolemFOFtoCNF_T_1 != skolemFOFtoCNF_S
| skolemFOFtoCNF_T = skolemFOFtoCNF_S ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_T,skolemFOFtoCNF_S) ),[0],$fot(skolemFOFtoCNF_T_1)]]) ).
cnf(refute_0_16,plain,
( skolemFOFtoCNF_T != skolemFOFtoCNF_T_1
| skolemFOFtoCNF_T = skolemFOFtoCNF_S ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_T_1,skolemFOFtoCNF_S) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
skolemFOFtoCNF_T = skolemFOFtoCNF_S,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_T,skolemFOFtoCNF_T_1) )],[refute_0_5,refute_0_16]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_S != skolemFOFtoCNF_T
| ~ hoare_165779456gleton ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_19,plain,
skolemFOFtoCNF_S != skolemFOFtoCNF_T,
inference(resolve,[$cnf( hoare_165779456gleton )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
( skolemFOFtoCNF_T != skolemFOFtoCNF_S
| skolemFOFtoCNF_S = skolemFOFtoCNF_T ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_T)),bind(Y,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_21,plain,
skolemFOFtoCNF_T != skolemFOFtoCNF_S,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_S,skolemFOFtoCNF_T) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_T,skolemFOFtoCNF_S) )],[refute_0_17,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % DateTime : Sat Jun 4 11:34:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------