TSTP Solution File: SYN411+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 09:02:12 EDT 2022
% Result : Theorem 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 16 ~; 0 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 66 ( 6 sgn 39 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish250,conjecture,
( ! [X,Y,Z] : f(X,Y,Z)
<=> ~ ? [U,V,W] : ~ f(U,V,W) ) ).
fof(subgoal_0,plain,
( ! [X,Y,Z] : f(X,Y,Z)
=> ! [U,V,W] : f(U,V,W) ),
inference(strip,[],[kalish250]) ).
fof(subgoal_1,plain,
( ~ ? [U,V,W] : ~ f(U,V,W)
=> ! [X,Y,Z] : f(X,Y,Z) ),
inference(strip,[],[kalish250]) ).
fof(negate_0_0,plain,
~ ( ! [X,Y,Z] : f(X,Y,Z)
=> ! [U,V,W] : f(U,V,W) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [U,V,W] : ~ f(U,V,W)
& ! [X,Y,Z] : f(X,Y,Z) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [U,V,W] : ~ f(U,V,W),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ f(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Z] : f(X,Y,Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [X,Y,Z] : f(X,Y,Z),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
~ f(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
f(X,Y,Z),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
f(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_U)),bind(Y,$fot(skolemFOFtoCNF_V)),bind(Z,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( f(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_2,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( ~ ? [U,V,W] : ~ f(U,V,W)
=> ! [X,Y,Z] : f(X,Y,Z) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ? [X,Y,Z] : ~ f(X,Y,Z)
& ! [U,V,W] : f(U,V,W) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [X,Y,Z] : ~ f(X,Y,Z),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [U,V,W] : f(U,V,W),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
! [U,V,W] : f(U,V,W),
inference(specialize,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
f(U,V,W),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
f(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(subst,[],[refute_1_1:[bind(U,$fot(skolemFOFtoCNF_X)),bind(V,$fot(skolemFOFtoCNF_Y)),bind(W,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_1_3,plain,
$false,
inference(resolve,[$cnf( f(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_1_2,refute_1_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 11 22:22:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33
% 0.11/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.33
%------------------------------------------------------------------------------