TSTP Solution File: SEU158+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 12:38:52 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 10 |; 6 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 36 ( 0 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t37_zfmisc_1,conjecture,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ) ).
fof(l2_zfmisc_1,axiom,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ) ).
fof(subgoal_0,plain,
! [A,B] :
( subset(singleton(A),B)
=> in(A,B) ),
inference(strip,[],[t37_zfmisc_1]) ).
fof(subgoal_1,plain,
! [A,B] :
( in(A,B)
=> subset(singleton(A),B) ),
inference(strip,[],[t37_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( subset(singleton(A),B)
=> in(A,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( ~ in(A,B)
& subset(singleton(A),B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
& subset(singleton(skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
subset(singleton(skolemFOFtoCNF_A_2),skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(canonicalize,[],[l2_zfmisc_1]) ).
fof(normalize_0_4,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( ~ subset(singleton(A),B)
| in(A,B) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] :
( ~ subset(singleton(A),B)
| in(A,B) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
~ in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
subset(singleton(skolemFOFtoCNF_A_2),skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ subset(singleton(A),B)
| in(A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ subset(singleton(skolemFOFtoCNF_A_2),skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_3,plain,
in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( subset(singleton(skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) )],[refute_0_3,refute_0_4]) ).
fof(negate_1_0,plain,
~ ! [A,B] :
( in(A,B)
=> subset(singleton(A),B) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [A,B] :
( ~ subset(singleton(A),B)
& in(A,B) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1)
& in(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
in(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(canonicalize,[],[l2_zfmisc_1]) ).
fof(normalize_1_4,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( ~ subset(singleton(A),B)
| in(A,B) ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A,B] :
( ~ in(A,B)
| subset(singleton(A),B) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
~ subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
in(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( ~ in(A,B)
| subset(singleton(A),B) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( ~ in(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_1_1:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_3,plain,
subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
~ subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
$false,
inference(resolve,[$cnf( subset(singleton(skolemFOFtoCNF_A_3),skolemFOFtoCNF_B_1) )],[refute_1_3,refute_1_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 04:50:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------