TSTP Solution File: SYO580+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 18:40:01 EDT 2022
% Result : Theorem 0.74s 0.93s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 178 ( 73 ~; 51 |; 32 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 31 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_132,axiom,
! [X131] :
( b48_buttercup10305(X131)
=> b48_buttercup10300(X131) ) ).
fof(sos_320,axiom,
( ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) )
& ? [X320] :
( k04_buttercup10303(X320)
& ~ b48_buttercup10305(X320) ) ) ).
fof(sos_322,axiom,
! [X322] :
( k04_buttercup10303(X322)
<=> b48_buttercup10300(X322) ) ).
fof(goals_886,conjecture,
( ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) )
| ( ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) )
& ? [X1057] :
( b48_buttercup10305(X1057)
& ~ k04_buttercup10303(X1057) ) )
| ( ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) )
& ? [X1059] :
( k04_buttercup10303(X1059)
& ~ b48_buttercup10305(X1059) ) )
| ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) ) ) ).
fof(subgoal_0,plain,
( ( ~ ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) )
& ~ ( ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) )
& ? [X1057] :
( b48_buttercup10305(X1057)
& ~ k04_buttercup10303(X1057) ) )
& ~ ( ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) )
& ? [X1059] :
( k04_buttercup10303(X1059)
& ~ b48_buttercup10305(X1059) ) ) )
=> ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) ) ),
inference(strip,[],[goals_886]) ).
fof(negate_0_0,plain,
~ ( ( ~ ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) )
& ~ ( ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) )
& ? [X1057] :
( b48_buttercup10305(X1057)
& ~ k04_buttercup10303(X1057) ) )
& ~ ( ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) )
& ? [X1059] :
( k04_buttercup10303(X1059)
& ~ b48_buttercup10305(X1059) ) ) )
=> ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( ~ b48_buttercup10305(X319)
| k04_buttercup10303(X319) ) ),
inference(canonicalize,[],[sos_320]) ).
fof(normalize_0_1,plain,
! [X319] :
( ~ b48_buttercup10305(X319)
| k04_buttercup10303(X319) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X319] :
( ~ b48_buttercup10305(X319)
| k04_buttercup10303(X319) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X322] :
( ~ b48_buttercup10300(X322)
<=> ~ k04_buttercup10303(X322) ),
inference(canonicalize,[],[sos_322]) ).
fof(normalize_0_4,plain,
! [X322] :
( ~ b48_buttercup10300(X322)
<=> ~ k04_buttercup10303(X322) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X322] :
( ( ~ b48_buttercup10300(X322)
| k04_buttercup10303(X322) )
& ( ~ k04_buttercup10303(X322)
| b48_buttercup10300(X322) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X322] :
( ~ b48_buttercup10300(X322)
| k04_buttercup10303(X322) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X131] :
( ~ b48_buttercup10305(X131)
| b48_buttercup10300(X131) ),
inference(canonicalize,[],[sos_132]) ).
fof(normalize_0_8,plain,
! [X131] :
( ~ b48_buttercup10305(X131)
| b48_buttercup10300(X131) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( ( ? [X1056] :
( ~ b48_buttercup10305(X1056)
& k04_buttercup10303(X1056) )
| ! [X1057] :
( ~ b48_buttercup10305(X1057)
| k04_buttercup10303(X1057) ) )
& ( ? [X1058] :
( ~ k04_buttercup10303(X1058)
& b48_buttercup10305(X1058) )
| ! [X1059] :
( ~ k04_buttercup10303(X1059)
| b48_buttercup10305(X1059) ) )
& ? [X1055] :
( ~ b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) )
& ? [X1060] :
( b48_buttercup10305(X1060)
& k04_buttercup10303(X1060) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_10,plain,
? [X1055] :
( ~ b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X1055)
<=> k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( ( ~ b48_buttercup10305(skolemFOFtoCNF_X1055)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1055) )
& ( b48_buttercup10305(skolemFOFtoCNF_X1055)
| k04_buttercup10303(skolemFOFtoCNF_X1055) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
( b48_buttercup10305(skolemFOFtoCNF_X1055)
| k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X322] :
( ~ k04_buttercup10303(X322)
| b48_buttercup10300(X322) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_15,plain,
( ? [X1058] :
( ~ k04_buttercup10303(X1058)
& b48_buttercup10305(X1058) )
| ! [X1059] :
( ~ k04_buttercup10303(X1059)
| b48_buttercup10305(X1059) ) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_16,plain,
! [X1059] :
( ( ~ k04_buttercup10303(X1059)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1058)
| b48_buttercup10305(X1059) )
& ( ~ k04_buttercup10303(X1059)
| b48_buttercup10305(X1059)
| b48_buttercup10305(skolemFOFtoCNF_X1058) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X1059] :
( ~ k04_buttercup10303(X1059)
| b48_buttercup10305(X1059)
| b48_buttercup10305(skolemFOFtoCNF_X1058) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X1055)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_19,plain,
? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X320)
& k04_buttercup10303(skolemFOFtoCNF_X320) ),
inference(skolemize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
k04_buttercup10303(skolemFOFtoCNF_X320),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X1059] :
( ~ k04_buttercup10303(X1059)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1058)
| b48_buttercup10305(X1059) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_23,plain,
~ b48_buttercup10305(skolemFOFtoCNF_X320),
inference(conjunct,[],[normalize_0_20]) ).
cnf(refute_0_0,plain,
( ~ b48_buttercup10305(X319)
| k04_buttercup10303(X319) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X1058)
| k04_buttercup10303(skolemFOFtoCNF_X1058) ),
inference(subst,[],[refute_0_0:[bind(X319,$fot(skolemFOFtoCNF_X1058))]]) ).
cnf(refute_0_2,plain,
( ~ b48_buttercup10300(X322)
| k04_buttercup10303(X322) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ b48_buttercup10300(skolemFOFtoCNF_X1055)
| k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(subst,[],[refute_0_2:[bind(X322,$fot(skolemFOFtoCNF_X1055))]]) ).
cnf(refute_0_4,plain,
( ~ b48_buttercup10305(X131)
| b48_buttercup10300(X131) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X1055)
| b48_buttercup10300(skolemFOFtoCNF_X1055) ),
inference(subst,[],[refute_0_4:[bind(X131,$fot(skolemFOFtoCNF_X1055))]]) ).
cnf(refute_0_6,plain,
( b48_buttercup10305(skolemFOFtoCNF_X1055)
| k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_7,plain,
( ~ k04_buttercup10303(X322)
| b48_buttercup10300(X322) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_8,plain,
( ~ k04_buttercup10303(skolemFOFtoCNF_X1055)
| b48_buttercup10300(skolemFOFtoCNF_X1055) ),
inference(subst,[],[refute_0_7:[bind(X322,$fot(skolemFOFtoCNF_X1055))]]) ).
cnf(refute_0_9,plain,
( b48_buttercup10300(skolemFOFtoCNF_X1055)
| b48_buttercup10305(skolemFOFtoCNF_X1055) ),
inference(resolve,[$cnf( k04_buttercup10303(skolemFOFtoCNF_X1055) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
b48_buttercup10300(skolemFOFtoCNF_X1055),
inference(resolve,[$cnf( b48_buttercup10305(skolemFOFtoCNF_X1055) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
k04_buttercup10303(skolemFOFtoCNF_X1055),
inference(resolve,[$cnf( b48_buttercup10300(skolemFOFtoCNF_X1055) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
( ~ k04_buttercup10303(X1059)
| b48_buttercup10305(X1059)
| b48_buttercup10305(skolemFOFtoCNF_X1058) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_13,plain,
( ~ k04_buttercup10303(skolemFOFtoCNF_X1055)
| b48_buttercup10305(skolemFOFtoCNF_X1055)
| b48_buttercup10305(skolemFOFtoCNF_X1058) ),
inference(subst,[],[refute_0_12:[bind(X1059,$fot(skolemFOFtoCNF_X1055))]]) ).
cnf(refute_0_14,plain,
( b48_buttercup10305(skolemFOFtoCNF_X1055)
| b48_buttercup10305(skolemFOFtoCNF_X1058) ),
inference(resolve,[$cnf( k04_buttercup10303(skolemFOFtoCNF_X1055) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ b48_buttercup10305(skolemFOFtoCNF_X1055)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1055) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
~ b48_buttercup10305(skolemFOFtoCNF_X1055),
inference(resolve,[$cnf( k04_buttercup10303(skolemFOFtoCNF_X1055) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
b48_buttercup10305(skolemFOFtoCNF_X1058),
inference(resolve,[$cnf( b48_buttercup10305(skolemFOFtoCNF_X1055) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
k04_buttercup10303(skolemFOFtoCNF_X1058),
inference(resolve,[$cnf( b48_buttercup10305(skolemFOFtoCNF_X1058) )],[refute_0_17,refute_0_1]) ).
cnf(refute_0_19,plain,
k04_buttercup10303(skolemFOFtoCNF_X320),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_20,plain,
( ~ k04_buttercup10303(X1059)
| ~ k04_buttercup10303(skolemFOFtoCNF_X1058)
| b48_buttercup10305(X1059) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ k04_buttercup10303(skolemFOFtoCNF_X1058)
| ~ k04_buttercup10303(skolemFOFtoCNF_X320)
| b48_buttercup10305(skolemFOFtoCNF_X320) ),
inference(subst,[],[refute_0_20:[bind(X1059,$fot(skolemFOFtoCNF_X320))]]) ).
cnf(refute_0_22,plain,
( ~ k04_buttercup10303(skolemFOFtoCNF_X1058)
| b48_buttercup10305(skolemFOFtoCNF_X320) ),
inference(resolve,[$cnf( k04_buttercup10303(skolemFOFtoCNF_X320) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
~ b48_buttercup10305(skolemFOFtoCNF_X320),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
~ k04_buttercup10303(skolemFOFtoCNF_X1058),
inference(resolve,[$cnf( b48_buttercup10305(skolemFOFtoCNF_X320) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( k04_buttercup10303(skolemFOFtoCNF_X1058) )],[refute_0_18,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 9 12:21:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.74/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.93
% 0.74/0.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.77/0.94
%------------------------------------------------------------------------------