TSTP Solution File: SYO578+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 : Thu Jul 21 18:40:00 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 199 ( 79 ~; 51 |; 53 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 66 ( 0 sgn 34 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_02,axiom,
! [X1] :
( k04_buttercup10622(X1)
=> k04_buttercup10619(X1) ) ).
fof(sos_13,axiom,
( ! [X27] :
( k04_buttercup10619(X27)
=> b48_buttercup10098(X27) )
& ? [X28] :
( b48_buttercup10098(X28)
& ~ k04_buttercup10619(X28) ) ) ).
fof(sos_18,axiom,
( ! [X55] :
( b48_buttercup10104(X55)
=> k04_buttercup10622(X55) )
& ? [X56] :
( k04_buttercup10622(X56)
& ~ b48_buttercup10104(X56) ) ) ).
fof(sos_21,axiom,
( ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) )
& ? [X62] :
( b48_buttercup10098(X62)
& ~ k04_buttercup10100(X62) ) ) ).
fof(sos_38,axiom,
! [X94] :
( k04_buttercup10100(X94)
=> ~ k04_buttercup10619(X94) ) ).
fof(goals_86,conjecture,
( ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
| ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
| ? [X146,X147,X148] :
( k04_buttercup10100(X146)
& b48_buttercup10098(X146)
& k04_buttercup10100(X147)
& ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& b48_buttercup10098(X148) )
| ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ) ).
fof(subgoal_0,plain,
( ( ~ ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
& ~ ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
& ~ ? [X146,X147,X148] :
( k04_buttercup10100(X146)
& b48_buttercup10098(X146)
& k04_buttercup10100(X147)
& ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& b48_buttercup10098(X148) ) )
=> ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ),
inference(strip,[],[goals_86]) ).
fof(negate_0_0,plain,
~ ( ( ~ ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
& ~ ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
& ~ ? [X146,X147,X148] :
( k04_buttercup10100(X146)
& b48_buttercup10098(X146)
& k04_buttercup10100(X147)
& ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& b48_buttercup10098(X148) ) )
=> ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( ~ k04_buttercup10100(X61)
| b48_buttercup10098(X61) ) ),
inference(canonicalize,[],[sos_21]) ).
fof(normalize_0_1,plain,
! [X61] :
( ~ k04_buttercup10100(X61)
| b48_buttercup10098(X61) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X61] :
( ~ k04_buttercup10100(X61)
| b48_buttercup10098(X61) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ? [X56] :
( ~ b48_buttercup10104(X56)
& k04_buttercup10622(X56) )
& ! [X55] :
( ~ b48_buttercup10104(X55)
| k04_buttercup10622(X55) ) ),
inference(canonicalize,[],[sos_18]) ).
fof(normalize_0_4,plain,
? [X56] :
( ~ b48_buttercup10104(X56)
& k04_buttercup10622(X56) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ~ b48_buttercup10104(skolemFOFtoCNF_X56)
& k04_buttercup10622(skolemFOFtoCNF_X56) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
k04_buttercup10622(skolemFOFtoCNF_X56),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X1] :
( ~ k04_buttercup10622(X1)
| k04_buttercup10619(X1) ),
inference(canonicalize,[],[sos_02]) ).
fof(normalize_0_8,plain,
! [X1] :
( ~ k04_buttercup10622(X1)
| k04_buttercup10619(X1) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( ? [X28] :
( ~ k04_buttercup10619(X28)
& b48_buttercup10098(X28) )
& ! [X27] :
( ~ k04_buttercup10619(X27)
| b48_buttercup10098(X27) ) ),
inference(canonicalize,[],[sos_13]) ).
fof(normalize_0_10,plain,
! [X27] :
( ~ k04_buttercup10619(X27)
| b48_buttercup10098(X27) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X27] :
( ~ k04_buttercup10619(X27)
| b48_buttercup10098(X27) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( ( ? [X142] :
( ~ k04_buttercup10100(X142)
& b48_buttercup10098(X142) )
| ! [X143] :
( ~ k04_buttercup10100(X143)
| b48_buttercup10098(X143) ) )
& ( ? [X144] :
( ~ b48_buttercup10098(X144)
& k04_buttercup10100(X144) )
| ! [X145] :
( ~ b48_buttercup10098(X145)
| k04_buttercup10100(X145) ) )
& ? [X149] :
( b48_buttercup10098(X149)
& k04_buttercup10100(X149) )
& ! [X146,X147,X148] :
( ~ b48_buttercup10098(X146)
| ~ b48_buttercup10098(X148)
| ~ k04_buttercup10100(X146)
| ~ k04_buttercup10100(X147)
| b48_buttercup10098(X147)
| k04_buttercup10100(X148) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_13,plain,
( ? [X144] :
( ~ b48_buttercup10098(X144)
& k04_buttercup10100(X144) )
| ! [X145] :
( ~ b48_buttercup10098(X145)
| k04_buttercup10100(X145) ) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X145] :
( ( ~ b48_buttercup10098(X145)
| ~ b48_buttercup10098(skolemFOFtoCNF_X144)
| k04_buttercup10100(X145) )
& ( ~ b48_buttercup10098(X145)
| k04_buttercup10100(X145)
| k04_buttercup10100(skolemFOFtoCNF_X144) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X145] :
( ~ b48_buttercup10098(X145)
| k04_buttercup10100(X145)
| k04_buttercup10100(skolemFOFtoCNF_X144) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X94] :
( ~ k04_buttercup10100(X94)
| ~ k04_buttercup10619(X94) ),
inference(canonicalize,[],[sos_38]) ).
fof(normalize_0_17,plain,
! [X94] :
( ~ k04_buttercup10100(X94)
| ~ k04_buttercup10619(X94) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X145] :
( ~ b48_buttercup10098(X145)
| ~ b48_buttercup10098(skolemFOFtoCNF_X144)
| k04_buttercup10100(X145) ),
inference(conjunct,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
( ~ k04_buttercup10100(X61)
| b48_buttercup10098(X61) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ k04_buttercup10100(skolemFOFtoCNF_X144)
| b48_buttercup10098(skolemFOFtoCNF_X144) ),
inference(subst,[],[refute_0_0:[bind(X61,$fot(skolemFOFtoCNF_X144))]]) ).
cnf(refute_0_2,plain,
k04_buttercup10622(skolemFOFtoCNF_X56),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ k04_buttercup10622(X1)
| k04_buttercup10619(X1) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ k04_buttercup10622(skolemFOFtoCNF_X56)
| k04_buttercup10619(skolemFOFtoCNF_X56) ),
inference(subst,[],[refute_0_3:[bind(X1,$fot(skolemFOFtoCNF_X56))]]) ).
cnf(refute_0_5,plain,
k04_buttercup10619(skolemFOFtoCNF_X56),
inference(resolve,[$cnf( k04_buttercup10622(skolemFOFtoCNF_X56) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ k04_buttercup10619(X27)
| b48_buttercup10098(X27) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ k04_buttercup10619(skolemFOFtoCNF_X56)
| b48_buttercup10098(skolemFOFtoCNF_X56) ),
inference(subst,[],[refute_0_6:[bind(X27,$fot(skolemFOFtoCNF_X56))]]) ).
cnf(refute_0_8,plain,
b48_buttercup10098(skolemFOFtoCNF_X56),
inference(resolve,[$cnf( k04_buttercup10619(skolemFOFtoCNF_X56) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ b48_buttercup10098(X145)
| k04_buttercup10100(X145)
| k04_buttercup10100(skolemFOFtoCNF_X144) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_10,plain,
( ~ b48_buttercup10098(skolemFOFtoCNF_X56)
| k04_buttercup10100(skolemFOFtoCNF_X144)
| k04_buttercup10100(skolemFOFtoCNF_X56) ),
inference(subst,[],[refute_0_9:[bind(X145,$fot(skolemFOFtoCNF_X56))]]) ).
cnf(refute_0_11,plain,
( k04_buttercup10100(skolemFOFtoCNF_X144)
| k04_buttercup10100(skolemFOFtoCNF_X56) ),
inference(resolve,[$cnf( b48_buttercup10098(skolemFOFtoCNF_X56) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ k04_buttercup10100(X94)
| ~ k04_buttercup10619(X94) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_13,plain,
( ~ k04_buttercup10100(skolemFOFtoCNF_X56)
| ~ k04_buttercup10619(skolemFOFtoCNF_X56) ),
inference(subst,[],[refute_0_12:[bind(X94,$fot(skolemFOFtoCNF_X56))]]) ).
cnf(refute_0_14,plain,
~ k04_buttercup10100(skolemFOFtoCNF_X56),
inference(resolve,[$cnf( k04_buttercup10619(skolemFOFtoCNF_X56) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
k04_buttercup10100(skolemFOFtoCNF_X144),
inference(resolve,[$cnf( k04_buttercup10100(skolemFOFtoCNF_X56) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
b48_buttercup10098(skolemFOFtoCNF_X144),
inference(resolve,[$cnf( k04_buttercup10100(skolemFOFtoCNF_X144) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
( ~ b48_buttercup10098(X145)
| ~ b48_buttercup10098(skolemFOFtoCNF_X144)
| k04_buttercup10100(X145) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_18,plain,
( ~ b48_buttercup10098(skolemFOFtoCNF_X144)
| ~ b48_buttercup10098(skolemFOFtoCNF_X56)
| k04_buttercup10100(skolemFOFtoCNF_X56) ),
inference(subst,[],[refute_0_17:[bind(X145,$fot(skolemFOFtoCNF_X56))]]) ).
cnf(refute_0_19,plain,
( ~ b48_buttercup10098(skolemFOFtoCNF_X144)
| k04_buttercup10100(skolemFOFtoCNF_X56) ),
inference(resolve,[$cnf( b48_buttercup10098(skolemFOFtoCNF_X56) )],[refute_0_8,refute_0_18]) ).
cnf(refute_0_20,plain,
~ b48_buttercup10098(skolemFOFtoCNF_X144),
inference(resolve,[$cnf( k04_buttercup10100(skolemFOFtoCNF_X56) )],[refute_0_19,refute_0_14]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( b48_buttercup10098(skolemFOFtoCNF_X144) )],[refute_0_16,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 06:34:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.45
%------------------------------------------------------------------------------