TSTP Solution File: SEU303+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Tue Jul 19 12:40:09 EDT 2022
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 74 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 28 ~; 23 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc13_finset_1,axiom,
! [A,B] :
( ( relation(A)
& function(A)
& finite(B) )
=> finite(relation_image(A,B)) ) ).
fof(t146_relat_1,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
fof(t26_finset_1,conjecture,
! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ) ).
fof(subgoal_0,plain,
! [A] :
( ( relation(A)
& function(A)
& finite(relation_dom(A)) )
=> finite(relation_rng(A)) ),
inference(strip,[],[t26_finset_1]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ( relation(A)
& function(A)
& finite(relation_dom(A)) )
=> finite(relation_rng(A)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A] :
( ~ finite(relation_rng(A))
& finite(relation_dom(A))
& function(A)
& relation(A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ finite(relation_rng(skolemFOFtoCNF_A_1))
& finite(relation_dom(skolemFOFtoCNF_A_1))
& function(skolemFOFtoCNF_A_1)
& relation(skolemFOFtoCNF_A_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
finite(relation_dom(skolemFOFtoCNF_A_1)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
relation(skolemFOFtoCNF_A_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A,B] :
( ~ finite(B)
| ~ function(A)
| ~ relation(A)
| finite(relation_image(A,B)) ),
inference(canonicalize,[],[fc13_finset_1]) ).
fof(normalize_0_5,plain,
! [A,B] :
( ~ finite(B)
| ~ function(A)
| ~ relation(A)
| finite(relation_image(A,B)) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
function(skolemFOFtoCNF_A_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
! [A] :
( ~ relation(A)
| relation_image(A,relation_dom(A)) = relation_rng(A) ),
inference(canonicalize,[],[t146_relat_1]) ).
fof(normalize_0_8,plain,
! [A] :
( ~ relation(A)
| relation_image(A,relation_dom(A)) = relation_rng(A) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ finite(relation_rng(skolemFOFtoCNF_A_1)),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
finite(relation_dom(skolemFOFtoCNF_A_1)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
relation(skolemFOFtoCNF_A_1),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ finite(B)
| ~ function(A)
| ~ relation(A)
| finite(relation_image(A,B)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ finite(X_2)
| ~ function(skolemFOFtoCNF_A_1)
| ~ relation(skolemFOFtoCNF_A_1)
| finite(relation_image(skolemFOFtoCNF_A_1,X_2)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A_1)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_4,plain,
( ~ finite(X_2)
| ~ function(skolemFOFtoCNF_A_1)
| finite(relation_image(skolemFOFtoCNF_A_1,X_2)) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_1) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
function(skolemFOFtoCNF_A_1),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ finite(X_2)
| finite(relation_image(skolemFOFtoCNF_A_1,X_2)) ),
inference(resolve,[$cnf( function(skolemFOFtoCNF_A_1) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( ~ finite(relation_dom(skolemFOFtoCNF_A_1))
| finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1))) ),
inference(subst,[],[refute_0_6:[bind(X_2,$fot(relation_dom(skolemFOFtoCNF_A_1)))]]) ).
cnf(refute_0_8,plain,
finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1))),
inference(resolve,[$cnf( finite(relation_dom(skolemFOFtoCNF_A_1)) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ relation(A)
| relation_image(A,relation_dom(A)) = relation_rng(A) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
( ~ relation(skolemFOFtoCNF_A_1)
| relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)) = relation_rng(skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_11,plain,
relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)) = relation_rng(skolemFOFtoCNF_A_1),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_1) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
( relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)) != relation_rng(skolemFOFtoCNF_A_1)
| ~ finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)))
| finite(relation_rng(skolemFOFtoCNF_A_1)) ),
introduced(tautology,[equality,[$cnf( finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1))) ),[0],$fot(relation_rng(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_13,plain,
( ~ finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)))
| finite(relation_rng(skolemFOFtoCNF_A_1)) ),
inference(resolve,[$cnf( $equal(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1)),relation_rng(skolemFOFtoCNF_A_1)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
finite(relation_rng(skolemFOFtoCNF_A_1)),
inference(resolve,[$cnf( finite(relation_image(skolemFOFtoCNF_A_1,relation_dom(skolemFOFtoCNF_A_1))) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
~ finite(relation_rng(skolemFOFtoCNF_A_1)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( finite(relation_rng(skolemFOFtoCNF_A_1)) )],[refute_0_14,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 18 19:26:39 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.36
%------------------------------------------------------------------------------