TSTP Solution File: SWV402+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Wed Jul 20 20:31:30 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 0 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 5 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V) ).
fof(l38_co,conjecture,
! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ) ).
fof(subgoal_0,plain,
! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ),
inference(strip,[],[l38_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [V,W,X] :
( ~ pair_in_list(update_slb(create_slb,X),V,X)
& pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ pair_in_list(update_slb(create_slb,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_X)
& pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W)
& strictly_less_than(skolemFOFtoCNF_W,skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(canonicalize,[],[ax22]) ).
fof(normalize_0_4,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ pair_in_list(create_slb,U,V),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
~ pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_V)),bind(V,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n019.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 : Thu Jun 16 01:10:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------