TSTP Solution File: SEU200+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 12:39:15 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 83 ( 37 ~; 32 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 9 sgn 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k8_relat_1,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ) ).
fof(t117_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ) ).
fof(t118_relat_1,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
fof(t25_relat_1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
fof(subgoal_0,plain,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(strip,[],[t118_relat_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& relation(B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ subset(relation_rng(relation_rng_restriction(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3))
& relation(skolemFOFtoCNF_B_3) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ subset(relation_rng(relation_rng_restriction(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
relation(skolemFOFtoCNF_B_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_rng_restriction(A,B),B) ),
inference(canonicalize,[],[t117_relat_1]) ).
fof(normalize_0_5,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_rng_restriction(A,B),B) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ~ subset(A,B)
| ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ),
inference(canonicalize,[],[t25_relat_1]) ).
fof(normalize_0_7,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ~ subset(A,B)
| ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B] :
( ( ~ relation(A)
| ~ relation(B)
| ~ subset(A,B)
| subset(relation_dom(A),relation_dom(B)) )
& ( ~ relation(A)
| ~ relation(B)
| ~ subset(A,B)
| subset(relation_rng(A),relation_rng(B)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ~ relation(A)
| ~ relation(B)
| ~ subset(A,B)
| subset(relation_rng(A),relation_rng(B)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ~ relation(B)
| relation(relation_rng_restriction(A,B)) ),
inference(canonicalize,[],[dt_k8_relat_1]) ).
fof(normalize_0_11,plain,
! [A,B] :
( ~ relation(B)
| relation(relation_rng_restriction(A,B)) ),
inference(specialize,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
~ subset(relation_rng(relation_rng_restriction(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
relation(skolemFOFtoCNF_B_3),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ relation(B)
| subset(relation_rng_restriction(A,B),B) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ relation(skolemFOFtoCNF_B_3)
| subset(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3),skolemFOFtoCNF_B_3) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_51)),bind(B,$fot(skolemFOFtoCNF_B_3))]]) ).
cnf(refute_0_4,plain,
subset(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3),skolemFOFtoCNF_B_3),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B_3) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ relation(A)
| ~ relation(B)
| ~ subset(A,B)
| subset(relation_rng(A),relation_rng(B)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
( ~ relation(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3))
| ~ relation(skolemFOFtoCNF_B_3)
| ~ subset(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3),skolemFOFtoCNF_B_3)
| subset(relation_rng(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3))),bind(B,$fot(skolemFOFtoCNF_B_3))]]) ).
cnf(refute_0_7,plain,
( ~ relation(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3))
| ~ relation(skolemFOFtoCNF_B_3)
| subset(relation_rng(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)) ),
inference(resolve,[$cnf( subset(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3),skolemFOFtoCNF_B_3) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ relation(B)
| relation(relation_rng_restriction(A,B)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ relation(skolemFOFtoCNF_B_3)
| relation(relation_rng_restriction(X_26,skolemFOFtoCNF_B_3)) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_26)),bind(B,$fot(skolemFOFtoCNF_B_3))]]) ).
cnf(refute_0_10,plain,
relation(relation_rng_restriction(X_26,skolemFOFtoCNF_B_3)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B_3) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
relation(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)),
inference(subst,[],[refute_0_10:[bind(X_26,$fot(X_51))]]) ).
cnf(refute_0_12,plain,
( ~ relation(skolemFOFtoCNF_B_3)
| subset(relation_rng(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)) ),
inference(resolve,[$cnf( relation(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
subset(relation_rng(relation_rng_restriction(X_51,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B_3) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
subset(relation_rng(relation_rng_restriction(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)),
inference(subst,[],[refute_0_13:[bind(X_51,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( subset(relation_rng(relation_rng_restriction(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_3)),relation_rng(skolemFOFtoCNF_B_3)) )],[refute_0_14,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 13:28:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45
% 0.20/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45
%------------------------------------------------------------------------------