TSTP Solution File: SYN347+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 09:01:36 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 137 ( 56 ~; 49 |; 8 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 37 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_3,conjecture,
! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ) ).
fof(subgoal_0,plain,
! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
inference(strip,[],[church_46_17_3]) ).
fof(negate_0_0,plain,
~ ! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [Z1,Z2] :
! [X1,X2] :
? [Y] :
( ( ~ big_f(Z1,Y)
<=> big_f(Z2,Y) )
& ( ~ big_f(X1,Y)
<=> ( ~ big_f(X2,Y)
<=> ~ big_f(Z1,Z2) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X1,X2] :
? [Y] :
( ( ~ big_f(skolemFOFtoCNF_Z1,Y)
<=> big_f(skolemFOFtoCNF_Z2,Y) )
& ( ~ big_f(X1,Y)
<=> ( ~ big_f(X2,Y)
<=> ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X1,X2] :
? [Y] :
( ( ~ big_f(skolemFOFtoCNF_Z1,Y)
<=> big_f(skolemFOFtoCNF_Z2,Y) )
& ( ~ big_f(X1,Y)
<=> ( ~ big_f(X2,Y)
<=> ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X1,X2] :
( ( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
<=> big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) )
& ( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
<=> ( ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
<=> ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X1,X2] :
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
<=> big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X1,X2] :
( ( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) )
& ( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X1,X2] :
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X1,X2] :
( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
<=> ( ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
<=> ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_8,plain,
! [X1,X2] :
( ( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) )
& ( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) )
& ( ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) )
& ( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X1,X2] :
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X1,X2] :
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
! [X1,X2] :
( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_12,plain,
! [X1,X2] :
( ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_13,plain,
! [X1,X2] :
( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2))
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) ),
inference(subst,[],[refute_0_0:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z2))]]) ).
cnf(refute_0_2,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_4,plain,
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6))
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6)) ),
inference(subst,[],[refute_0_3:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(X_6))]]) ).
cnf(refute_0_5,plain,
( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_6,plain,
( ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6))
| big_f(X_6,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(subst,[],[refute_0_5:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(X_6))]]) ).
cnf(refute_0_7,plain,
( big_f(X_6,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,X_6)) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(subst,[],[refute_0_7:[bind(X_6,$fot(skolemFOFtoCNF_Z1))]]) ).
cnf(refute_0_9,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1))
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) ),
inference(subst,[],[refute_0_0:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z1))]]) ).
cnf(refute_0_10,plain,
( ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) ),
inference(subst,[],[refute_0_10:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z1))]]) ).
cnf(refute_0_12,plain,
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1))
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) )],[refute_0_12,refute_0_9]) ).
cnf(refute_0_14,plain,
big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z1)) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| big_f(X2,skolemFOFtoCNF_Y(X1,X2)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) )],[refute_0_14,refute_0_2]) ).
cnf(refute_0_16,plain,
big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)),
inference(subst,[],[refute_0_15:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z2))]]) ).
cnf(refute_0_17,plain,
~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) )],[refute_0_16,refute_0_1]) ).
cnf(refute_0_18,plain,
( ~ big_f(X1,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(X2,skolemFOFtoCNF_Y(X1,X2))
| ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_19,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| ~ big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) ),
inference(subst,[],[refute_0_18:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z2))]]) ).
cnf(refute_0_20,plain,
( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2))
| big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) ),
inference(subst,[],[refute_0_3:[bind(X1,$fot(skolemFOFtoCNF_Z2)),bind(X2,$fot(skolemFOFtoCNF_Z2))]]) ).
cnf(refute_0_21,plain,
( ~ big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2)
| big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Z2) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z1,skolemFOFtoCNF_Y(skolemFOFtoCNF_Z2,skolemFOFtoCNF_Z2)) )],[refute_0_22,refute_0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n010.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 : Mon Jul 11 20:42:00 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
%------------------------------------------------------------------------------