TSTP Solution File: SET574+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 03:35:32 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 62 ( 27 ~; 18 |; 10 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersect_defn,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ) ).
fof(symmetry_of_intersect,axiom,
! [B,C] :
( intersect(B,C)
=> intersect(C,B) ) ).
fof(prove_th13,conjecture,
! [B,C,D] :
( ( member(B,C)
& member(B,D) )
=> intersect(C,D) ) ).
fof(subgoal_0,plain,
! [B,C,D] :
( ( member(B,C)
& member(B,D) )
=> intersect(C,D) ),
inference(strip,[],[prove_th13]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] :
( ( member(B,C)
& member(B,D) )
=> intersect(C,D) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B,C] :
( ~ intersect(B,C)
| intersect(C,B) ),
inference(canonicalize,[],[symmetry_of_intersect]) ).
fof(normalize_0_1,plain,
! [B,C] :
( ~ intersect(B,C)
| intersect(C,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [B,C,D] :
( ~ intersect(C,D)
& member(B,C)
& member(B,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( ~ intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)
& member(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
! [B,C] :
( ~ intersect(B,C)
<=> ! [D] :
( ~ member(D,B)
| ~ member(D,C) ) ),
inference(canonicalize,[],[intersect_defn]) ).
fof(normalize_0_7,plain,
! [B,C] :
( ~ intersect(B,C)
<=> ! [D] :
( ~ member(D,B)
| ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C,D] :
( ( ~ intersect(B,C)
| member(skolemFOFtoCNF_D(B,C),B) )
& ( ~ intersect(B,C)
| member(skolemFOFtoCNF_D(B,C),C) )
& ( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
~ intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ intersect(B,C)
| intersect(C,B) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ intersect(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C)
| intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_D_1)),bind(C,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_2,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ member(skolemFOFtoCNF_B,X_8)
| ~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| intersect(X_8,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_8)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_6,plain,
( ~ member(skolemFOFtoCNF_B,X_8)
| intersect(X_8,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1)
| intersect(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_6:[bind(X_8,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_8,plain,
intersect(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(resolve,[$cnf( intersect(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
~ intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( intersect(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) )],[refute_0_9,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.33 % DateTime : Sat Jul 9 23:04:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
% 0.12/0.34
%------------------------------------------------------------------------------