TSTP Solution File: SYN346+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 09:01:35 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 59 ( 22 ~; 13 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 41 ( 5 sgn 24 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_2,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ) ).
fof(subgoal_0,plain,
! [X1,X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ),
inference(strip,[],[church_46_17_2]) ).
fof(negate_0_0,plain,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X2] :
! [Y1,Y2] :
? [Z1,Z2] :
( big_f(X2,Z1)
& big_f(Y1,Z2)
& ( ~ big_f(X2,Z2)
| ~ big_f(Y2,Z2) )
& ( ~ big_f(Y1,Z1)
| ~ big_f(Y2,Z1) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [Y1,Y2] :
? [Z1,Z2] :
( big_f(Y1,Z2)
& big_f(skolemFOFtoCNF_X2,Z1)
& ( ~ big_f(Y1,Z1)
| ~ big_f(Y2,Z1) )
& ( ~ big_f(Y2,Z2)
| ~ big_f(skolemFOFtoCNF_X2,Z2) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Y1,Y2] :
? [Z1,Z2] :
( big_f(Y1,Z2)
& big_f(skolemFOFtoCNF_X2,Z1)
& ( ~ big_f(Y1,Z1)
| ~ big_f(Y2,Z1) )
& ( ~ big_f(Y2,Z2)
| ~ big_f(skolemFOFtoCNF_X2,Z2) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y1,Y2] :
( big_f(Y1,skolemFOFtoCNF_Z2(Y1,Y2))
& big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(Y1,Y2))
& ( ~ big_f(Y1,skolemFOFtoCNF_Z1(Y1,Y2))
| ~ big_f(Y2,skolemFOFtoCNF_Z1(Y1,Y2)) )
& ( ~ big_f(Y2,skolemFOFtoCNF_Z2(Y1,Y2))
| ~ big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z2(Y1,Y2)) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Y1,Y2] : big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(Y1,Y2)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Y1,Y2] :
( ~ big_f(Y1,skolemFOFtoCNF_Z1(Y1,Y2))
| ~ big_f(Y2,skolemFOFtoCNF_Z1(Y1,Y2)) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(Y1,Y2)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(skolemFOFtoCNF_X2,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_0:[bind(Y1,$fot(skolemFOFtoCNF_X2)),bind(Y2,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_2,plain,
( ~ big_f(Y1,skolemFOFtoCNF_Z1(Y1,Y2))
| ~ big_f(Y2,skolemFOFtoCNF_Z1(Y1,Y2)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
~ big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(skolemFOFtoCNF_X2,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_2:[bind(Y1,$fot(skolemFOFtoCNF_X2)),bind(Y2,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X2,skolemFOFtoCNF_Z1(skolemFOFtoCNF_X2,skolemFOFtoCNF_X2)) )],[refute_0_1,refute_0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 : Tue Jul 12 01:37:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------