TSTP Solution File: SYN384+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN384+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 09:01:58 EDT 2022
% Result : Theorem 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 2 sgn 18 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2136,conjecture,
! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ) ).
fof(subgoal_0,plain,
! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
inference(strip,[],[x2136]) ).
fof(negate_0_0,plain,
~ ! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [Z] :
! [X,Y] : big_p(X,Y,Z)
& ! [X] :
? [U] : ~ big_p(U,X,X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [U] : ~ big_p(U,X,X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
? [U] : ~ big_p(U,X,X),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : ~ big_p(skolemFOFtoCNF_U(X),X,X),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [Z] :
! [X,Y] : big_p(X,Y,Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [X,Y] : big_p(X,Y,skolemFOFtoCNF_Z),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] : big_p(X,Y,skolemFOFtoCNF_Z),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ big_p(skolemFOFtoCNF_U(X),X,X),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ big_p(skolemFOFtoCNF_U(skolemFOFtoCNF_Z),skolemFOFtoCNF_Z,skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_2,plain,
big_p(X,Y,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
big_p(skolemFOFtoCNF_U(skolemFOFtoCNF_Z),skolemFOFtoCNF_Z,skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_U(skolemFOFtoCNF_Z))),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_U(skolemFOFtoCNF_Z),skolemFOFtoCNF_Z,skolemFOFtoCNF_Z) )],[refute_0_3,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN384+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.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 13:39:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------