TSTP Solution File: SWV031+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV031+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 : 300s
% DateTime : Sun May 5 10:27:45 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 1434 ( 80 equ)
% Maximal formula atoms : 25 ( 14 avg)
% Number of connectives : 608 ( 217 ~; 209 |; 142 &)
% ( 14 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 945 ( 945 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 29 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 114 ( 94 !; 19 ?; 34 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ5_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f481,plain,
$false,
inference(avatar_sat_refutation,[],[f296,f301,f306,f311,f316,f337,f342,f347,f348,f349,f350,f404,f456,f465]) ).
tff(f465,plain,
( spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f464]) ).
tff(f464,plain,
( $false
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f463,f315]) ).
tff(f315,plain,
( leq(n0,sK1)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f313,plain,
( spl6_6
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f463,plain,
( ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f462,f310]) ).
tff(f310,plain,
( leq(sK1,n2)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f308,plain,
( spl6_5
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f462,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f461,f305]) ).
tff(f305,plain,
( leq(n0,sK2)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f303,plain,
( spl6_4
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f461,plain,
( ~ leq(n0,sK2)
| ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f457,f300]) ).
tff(f300,plain,
( leq(sK2,n3)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f298]) ).
tff(f298,plain,
( spl6_3
<=> leq(sK2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f457,plain,
( ~ leq(sK2,n3)
| ~ leq(n0,sK2)
| ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2 ),
inference(resolution,[],[f295,f259]) ).
tff(f259,plain,
! [X2: $i,X3: $i] :
( sQ5_eqProxy($i,init,a_select3(simplex7_init,X3,X2))
| ~ leq(X3,n3)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f162,f253]) ).
tff(f253,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ5_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
tff(f162,plain,
! [X2: $i,X3: $i] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
( ( ( ( init != a_select2(s_values7_init,sK3) )
& leq(sK3,n3)
& leq(n0,sK3) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) )
& ! [X1] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f145,f146]) ).
tff(f146,plain,
( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,n3)
& leq(n0,X0) )
=> ( ( init != a_select2(s_values7_init,sK3) )
& leq(sK3,n3)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f145,plain,
( ( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,n3)
& leq(n0,X0) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) )
& ! [X1] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) ),
inference(rectify,[],[f139]) ).
tff(f139,plain,
( ( ? [X3] :
( ( init != a_select2(s_values7_init,X3) )
& leq(X3,n3)
& leq(n0,X3) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) )
& ! [X0] :
( ( init = a_select2(s_values7_init,X0) )
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( ( init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) ),
inference(definition_folding,[],[f109,f138]) ).
tff(f138,plain,
( ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f109,plain,
( ( ? [X3] :
( ( init != a_select2(s_values7_init,X3) )
& leq(X3,n3)
& leq(n0,X3) )
| ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) )
& ! [X0] :
( ( init = a_select2(s_values7_init,X0) )
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( ( init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) ),
inference(flattening,[],[f108]) ).
tff(f108,plain,
( ( ? [X3] :
( ( init != a_select2(s_values7_init,X3) )
& leq(X3,n3)
& leq(n0,X3) )
| ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) )
& ! [X0] :
( ( init = a_select2(s_values7_init,X0) )
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( ( init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
~ ( ( ! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( init = a_select2(s_values7_init,X0) ) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> ( init = a_select3(simplex7_init,X2,X1) ) ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) )
=> ( ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> ( init = a_select2(s_values7_init,X3) ) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> ( init = a_select3(simplex7_init,X5,X4) ) ) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& ( init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
& ( init = init ) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> ( init = a_select2(s_values7_init,X3) ) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> ( init = a_select3(simplex7_init,X17,X13) ) ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) )
=> ( ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> ( init = a_select2(s_values7_init,X21) ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> ( init = a_select3(simplex7_init,X20,X19) ) ) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& ( init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
& ( init = init ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> ( init = a_select2(s_values7_init,X3) ) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> ( init = a_select3(simplex7_init,X17,X13) ) ) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& leq(n0,pv10)
& leq(n0,pv9)
& ( init = init ) )
=> ( ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> ( init = a_select2(s_values7_init,X21) ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> ( init = a_select3(simplex7_init,X20,X19) ) ) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& ( init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
& ( init = init ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NR9D2Ti3od/Vampire---4.8_21681',gauss_init_0037) ).
tff(f295,plain,
( ~ sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1))
| spl6_2 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f293,plain,
( spl6_2
<=> sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f456,plain,
( spl6_8
| ~ spl6_9
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f455]) ).
tff(f455,plain,
( $false
| spl6_8
| ~ spl6_9
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f454,f327]) ).
tff(f327,plain,
( leq(n0,pv9)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f326]) ).
tff(f326,plain,
( spl6_9
<=> leq(n0,pv9) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f454,plain,
( ~ leq(n0,pv9)
| spl6_8
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f453,f331]) ).
tff(f331,plain,
( leq(pv9,minus(n410,n1))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f330]) ).
tff(f330,plain,
( spl6_10
<=> leq(pv9,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
tff(f453,plain,
( ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| spl6_8 ),
inference(subsumption_resolution,[],[f452,f159]) ).
tff(f159,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f147]) ).
tff(f452,plain,
( ~ leq(n0,pv10)
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| spl6_8 ),
inference(subsumption_resolution,[],[f451,f161]) ).
tff(f161,plain,
leq(pv10,minus(n330,n1)),
inference(cnf_transformation,[],[f147]) ).
tff(f451,plain,
( ~ leq(pv10,minus(n330,n1))
| ~ leq(n0,pv10)
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| spl6_8 ),
inference(resolution,[],[f445,f324]) ).
tff(f324,plain,
( ~ sQ5_eqProxy($i,init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| spl6_8 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f322,plain,
( spl6_8
<=> sQ5_eqProxy($i,init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f445,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( sQ5_eqProxy($i,X6,a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3))
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(forward_literal_rewriting,[],[f274,f287]) ).
tff(f287,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ5_eqProxy(X0,X2,X1)
| ~ sQ5_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f253]) ).
tff(f274,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( sQ5_eqProxy($i,a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3),X6)
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(equality_proxy_replacement,[],[f194,f253]) ).
tff(f194,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 )
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 )
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f129]) ).
tff(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 )
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f103]) ).
tff(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> ( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> ( a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ) ),
file('/export/starexec/sandbox/tmp/tmp.NR9D2Ti3od/Vampire---4.8_21681',const_array2_select) ).
tff(f404,plain,
( spl6_11
| ~ spl6_12
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f403]) ).
tff(f403,plain,
( $false
| spl6_11
| ~ spl6_12
| ~ spl6_13 ),
inference(subsumption_resolution,[],[f402,f346]) ).
tff(f346,plain,
( leq(n0,sK3)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f344,plain,
( spl6_13
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
tff(f402,plain,
( ~ leq(n0,sK3)
| spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f398,f341]) ).
tff(f341,plain,
( leq(sK3,n3)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f339]) ).
tff(f339,plain,
( spl6_12
<=> leq(sK3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
tff(f398,plain,
( ~ leq(sK3,n3)
| ~ leq(n0,sK3)
| spl6_11 ),
inference(resolution,[],[f336,f258]) ).
tff(f258,plain,
! [X1: $i] :
( sQ5_eqProxy($i,init,a_select2(s_values7_init,X1))
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(equality_proxy_replacement,[],[f163,f253]) ).
tff(f163,plain,
! [X1: $i] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tff(f336,plain,
( ~ sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3))
| spl6_11 ),
inference(avatar_component_clause,[],[f334]) ).
tff(f334,plain,
( spl6_11
<=> sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
tff(f350,plain,
spl6_7,
inference(avatar_split_clause,[],[f260,f318]) ).
tff(f318,plain,
( spl6_7
<=> sQ5_eqProxy($i,init,init) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
tff(f260,plain,
sQ5_eqProxy($i,init,init),
inference(equality_proxy_replacement,[],[f157,f253]) ).
tff(f157,plain,
init = init,
inference(cnf_transformation,[],[f147]) ).
tff(f349,plain,
spl6_9,
inference(avatar_split_clause,[],[f158,f326]) ).
tff(f158,plain,
leq(n0,pv9),
inference(cnf_transformation,[],[f147]) ).
tff(f348,plain,
spl6_10,
inference(avatar_split_clause,[],[f160,f330]) ).
tff(f160,plain,
leq(pv9,minus(n410,n1)),
inference(cnf_transformation,[],[f147]) ).
tff(f347,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| spl6_1
| spl6_13 ),
inference(avatar_split_clause,[],[f257,f344,f289,f330,f326,f322,f318]) ).
tff(f289,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f257,plain,
( leq(n0,sK3)
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ~ sQ5_eqProxy($i,init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f164,f253]) ).
tff(f164,plain,
( leq(n0,sK3)
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) ),
inference(cnf_transformation,[],[f147]) ).
tff(f342,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| spl6_1
| spl6_12 ),
inference(avatar_split_clause,[],[f256,f339,f289,f330,f326,f322,f318]) ).
tff(f256,plain,
( leq(sK3,n3)
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ~ sQ5_eqProxy($i,init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f165,f253]) ).
tff(f165,plain,
( leq(sK3,n3)
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) ),
inference(cnf_transformation,[],[f147]) ).
tff(f337,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| spl6_1
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f255,f334,f289,f330,f326,f322,f318]) ).
tff(f255,plain,
( ~ sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3))
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ~ sQ5_eqProxy($i,init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f166,f253]) ).
tff(f166,plain,
( ( init != a_select2(s_values7_init,sK3) )
| sP0
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9)
| ( init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
| ( init != init ) ),
inference(cnf_transformation,[],[f147]) ).
tff(f316,plain,
( ~ spl6_1
| spl6_6 ),
inference(avatar_split_clause,[],[f152,f313,f289]) ).
tff(f152,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tff(f144,plain,
( ( ( init != a_select3(simplex7_init,sK2,sK1) )
& leq(sK2,n3)
& leq(n0,sK2)
& leq(sK1,n2)
& leq(n0,sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f141,f143,f142]) ).
tff(f142,plain,
( ? [X0] :
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,X0) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( ( init != a_select3(simplex7_init,X1,sK1) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK1,n2)
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f143,plain,
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,sK1) )
& leq(X1,n3)
& leq(n0,X1) )
=> ( ( init != a_select3(simplex7_init,sK2,sK1) )
& leq(sK2,n3)
& leq(n0,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f141,plain,
( ? [X0] :
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,X0) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f140]) ).
tff(f140,plain,
( ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f138]) ).
tff(f311,plain,
( ~ spl6_1
| spl6_5 ),
inference(avatar_split_clause,[],[f153,f308,f289]) ).
tff(f153,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tff(f306,plain,
( ~ spl6_1
| spl6_4 ),
inference(avatar_split_clause,[],[f154,f303,f289]) ).
tff(f154,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tff(f301,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f155,f298,f289]) ).
tff(f155,plain,
( leq(sK2,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tff(f296,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f254,f293,f289]) ).
tff(f254,plain,
( ~ sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f156,f253]) ).
tff(f156,plain,
( ( init != a_select3(simplex7_init,sK2,sK1) )
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV031+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 21:16:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.NR9D2Ti3od/Vampire---4.8_21681
% 0.60/0.76 % (22066)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (22061)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (22059)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (22060)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (22063)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (22064)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (22062)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (22065)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.77 % (22059)First to succeed.
% 0.60/0.77 % (22059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21928"
% 0.60/0.77 % (22059)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (22059)------------------------------
% 0.60/0.77 % (22059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (22059)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (22059)Memory used [KB]: 1215
% 0.60/0.77 % (22059)Time elapsed: 0.011 s
% 0.60/0.77 % (22059)Instructions burned: 15 (million)
% 0.60/0.77 % (21928)Success in time 0.382 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------