%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 03:35:41 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 25 ~; 20 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(transitivity_of_subset,axiom,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ) ).
fof(difference_subset1,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ) ).
fof(difference_subset2,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(D,C),difference(D,B)) ) ).
fof(prove_th48,conjecture,
! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ) ).
fof(subgoal_0,plain,
! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ),
inference(strip,[],[prove_th48]) ).
fof(negate_0_0,plain,
~ ! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B,C,D,E] :
( ~ subset(difference(B,E),difference(C,D))
& subset(B,C)
& subset(D,E) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
& subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& subset(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
subset(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B,C] :
( ~ subset(B,C)
| ! [D] : subset(difference(D,C),difference(D,B)) ),
inference(canonicalize,[],[difference_subset2]) ).
fof(normalize_0_4,plain,
! [B,C] :
( ~ subset(B,C)
| ! [D] : subset(difference(D,C),difference(D,B)) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [B,C,D] :
( ~ subset(B,C)
| subset(difference(D,C),difference(D,B)) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
! [B,C] :
( ~ subset(B,C)
| ! [D] : subset(difference(B,D),difference(C,D)) ),
inference(canonicalize,[],[difference_subset1]) ).
fof(normalize_0_8,plain,
! [B,C] :
( ~ subset(B,C)
| ! [D] : subset(difference(B,D),difference(C,D)) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B,C,D] :
( ~ subset(B,C)
| subset(difference(B,D),difference(C,D)) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B,C,D] :
( ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ),
inference(canonicalize,[],[transitivity_of_subset]) ).
fof(normalize_0_11,plain,
! [B,C,D] :
( ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
subset(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ subset(B,C)
| subset(difference(D,C),difference(D,B)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ subset(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)
| subset(difference(X_63,skolemFOFtoCNF_E),difference(X_63,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_1:[bind(B,$fot(skolemFOFtoCNF_D_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_63))]]) ).
cnf(refute_0_3,plain,
subset(difference(X_63,skolemFOFtoCNF_E),difference(X_63,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_0_3:[bind(X_63,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_5,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ subset(B,C)
| subset(difference(B,D),difference(C,D)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| subset(difference(skolemFOFtoCNF_B,X_50),difference(skolemFOFtoCNF_C,X_50)) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(X_50))]]) ).
cnf(refute_0_8,plain,
subset(difference(skolemFOFtoCNF_B,X_50),difference(skolemFOFtoCNF_C,X_50)),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
( ~ subset(difference(skolemFOFtoCNF_B,X_50),difference(skolemFOFtoCNF_C,X_50))
| ~ subset(difference(skolemFOFtoCNF_C,X_50),X_108)
| subset(difference(skolemFOFtoCNF_B,X_50),X_108) ),
inference(subst,[],[refute_0_9:[bind(B,$fot(difference(skolemFOFtoCNF_B,X_50))),bind(C,$fot(difference(skolemFOFtoCNF_C,X_50))),bind(D,$fot(X_108))]]) ).
cnf(refute_0_11,plain,
( ~ subset(difference(skolemFOFtoCNF_C,X_50),X_108)
| subset(difference(skolemFOFtoCNF_B,X_50),X_108) ),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,X_50),difference(skolemFOFtoCNF_C,X_50)) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_11:[bind(X_108,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))),bind(X_50,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_13,plain,
subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_E),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_13,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.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 : Sun Jul 10 13:12:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
%------------------------------------------------------------------------------