TSTP Solution File: SWV413+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV413+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 20:31:32 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 24 ~; 16 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 28 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l49_li3637,lemma,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) ) ).
fof(l49_co,conjecture,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ) ).
fof(subgoal_0,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ),
inference(strip,[],[l49_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W,X] :
( less_than(X,W)
& pair_in_list(U,V,W)
& strictly_less_than(V,X)
& ! [Y] :
( ~ less_than(X,Y)
| ~ pair_in_list(update_slb(U,X),V,Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W)
& pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)
& strictly_less_than(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
& ! [Y] :
( ~ less_than(skolemFOFtoCNF_X,Y)
| ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,Y) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Y] :
( ~ less_than(skolemFOFtoCNF_X,Y)
| ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,Y) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ~ less_than(skolemFOFtoCNF_X,Y)
| ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,Y) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [U,V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(U,V,W)
| pair_in_list(update_slb(U,X),V,W) ),
inference(canonicalize,[],[l49_li3637]) ).
fof(normalize_0_7,plain,
! [U,V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(U,V,W)
| pair_in_list(update_slb(U,X),V,W) ),
inference(specialize,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( ~ less_than(skolemFOFtoCNF_X,Y)
| ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W)
| ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_W) ),
inference(subst,[],[refute_0_0:[bind(Y,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_2,plain,
less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ less_than(X,W)
| ~ pair_in_list(U,V,W)
| pair_in_list(update_slb(U,X),V,W) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ less_than(X_195,skolemFOFtoCNF_W)
| ~ pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X_195),skolemFOFtoCNF_V,skolemFOFtoCNF_W) ),
inference(subst,[],[refute_0_4:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(skolemFOFtoCNF_W)),bind(X,$fot(X_195))]]) ).
cnf(refute_0_6,plain,
( ~ less_than(X_195,skolemFOFtoCNF_W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X_195),skolemFOFtoCNF_V,skolemFOFtoCNF_W) ),
inference(resolve,[$cnf( pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_W) ),
inference(subst,[],[refute_0_6:[bind(X_195,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
~ less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W),
inference(resolve,[$cnf( pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W) )],[refute_0_2,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV413+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 01:14:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48
% 0.20/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.48
%------------------------------------------------------------------------------