TSTP Solution File: SYN323+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 09:01:17 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 33 ~; 22 |; 9 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 61 ( 12 sgn 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_4_2,conjecture,
? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ) ).
fof(subgoal_0,plain,
? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
inference(strip,[],[church_46_4_2]) ).
fof(negate_0_0,plain,
~ ? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [X,Y] :
( ~ big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) )
& ! [X,Y] :
( big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ( ~ big_f(Y,X)
| ~ big_g(X,Y) )
& ( ~ big_g(X,Y)
| big_f(X,Y) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ big_f(Y,X)
| ~ big_g(X,Y) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( big_g(X,Y)
| ( ~ big_f(Y,X)
& big_f(X,Y) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( ~ big_f(Y,X)
| big_g(X,Y) )
& ( big_f(X,Y)
| big_g(X,Y) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ big_f(Y,X)
| big_g(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ~ big_g(X,Y)
| big_f(X,Y) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( big_f(X,Y)
| big_g(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( ~ big_f(Y,X)
| ~ big_g(X,Y) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ big_f(X_10,X_11)
| ~ big_g(X_11,X_10) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_2,plain,
( ~ big_f(Y,X)
| big_g(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
( ~ big_f(X_8,X_9)
| big_g(X_9,X_8) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_9)),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_4,plain,
( ~ big_g(X,Y)
| big_f(X,Y) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ big_g(X_6,X_7)
| big_f(X_6,X_7) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_6,plain,
( big_f(X,Y)
| big_g(X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( big_f(X_6,X_7)
| big_g(X_6,X_7) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_8,plain,
big_f(X_6,X_7),
inference(resolve,[$cnf( big_g(X_6,X_7) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
big_f(X_8,X_9),
inference(subst,[],[refute_0_8:[bind(X_6,$fot(X_8)),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_10,plain,
big_g(X_9,X_8),
inference(resolve,[$cnf( big_f(X_8,X_9) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
big_g(X_11,X_10),
inference(subst,[],[refute_0_10:[bind(X_8,$fot(X_10)),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_12,plain,
~ big_f(X_10,X_11),
inference(resolve,[$cnf( big_g(X_11,X_10) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
big_f(X_10,X_11),
inference(subst,[],[refute_0_8:[bind(X_6,$fot(X_10)),bind(X_7,$fot(X_11))]]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( big_f(X_10,X_11) )],[refute_0_13,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.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 19:26:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
% 0.19/0.34
%------------------------------------------------------------------------------