TSTP Solution File: ARI411_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI411_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 13:40:52 EDT 2023
% Result : Theorem 0.23s 0.49s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 68
% Syntax : Number of formulae : 206 ( 23 unt; 1 typ; 0 def)
% Number of atoms : 579 ( 74 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 677 ( 303 ~; 313 |; 4 &)
% ( 54 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 921 ( 181 atm; 319 fun; 164 num; 257 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 57 ( 54 usr; 55 prp; 0-2 aty)
% Number of functors : 11 ( 1 usr; 9 con; 0-2 aty)
% Number of variables : 257 (; 255 !; 2 ?; 257 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f1228,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f28,f32,f36,f40,f44,f48,f52,f59,f63,f73,f77,f103,f107,f129,f143,f156,f164,f168,f173,f197,f201,f219,f223,f227,f231,f306,f310,f314,f468,f473,f477,f516,f520,f524,f613,f619,f623,f782,f796,f800,f804,f808,f847,f851,f855,f859,f863,f867,f872,f1210,f1215,f1220,f1225,f1227]) ).
tff(f1227,plain,
( spl1_1
| ~ spl1_19
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f904,f845,f166,f20]) ).
tff(f20,plain,
( spl1_1
<=> ( 5.75 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f166,plain,
( spl1_19
<=> ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
tff(f845,plain,
( spl1_44
<=> ! [X0: $real] : ( $sum(10.0,X0) = $sum(4.25,$sum(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
tff(f904,plain,
( ( 5.75 = sK0 )
| ~ spl1_19
| ~ spl1_44 ),
inference(evaluation,[],[f878]) ).
tff(f878,plain,
( ( sK0 = $sum(10.0,$uminus(4.25)) )
| ~ spl1_19
| ~ spl1_44 ),
inference(superposition,[],[f846,f167]) ).
tff(f167,plain,
( ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f846,plain,
( ! [X0: $real] : ( $sum(10.0,X0) = $sum(4.25,$sum(X0,sK0)) )
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f845]) ).
tff(f1225,plain,
( spl1_54
| ~ spl1_14
| ~ spl1_33 ),
inference(avatar_split_clause,[],[f534,f514,f105,f1223]) ).
tff(f1223,plain,
( spl1_54
<=> ! [X32: $real,X33: $real] :
( ~ $less(X32,X33)
| $less(10.0,$sum(X33,sK0))
| ~ $less(4.25,X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
tff(f105,plain,
( spl1_14
<=> ! [X0: $real] :
( $less(10.0,$sum(X0,sK0))
| ~ $less(4.25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
tff(f514,plain,
( spl1_33
<=> ! [X4: $real,X3: $real,X2: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X3,$sum(X1,X4))
| $less(X3,$sum(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
tff(f534,plain,
( ! [X32: $real,X33: $real] :
( ~ $less(X32,X33)
| $less(10.0,$sum(X33,sK0))
| ~ $less(4.25,X32) )
| ~ spl1_14
| ~ spl1_33 ),
inference(resolution,[],[f515,f106]) ).
tff(f106,plain,
( ! [X0: $real] :
( $less(10.0,$sum(X0,sK0))
| ~ $less(4.25,X0) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f105]) ).
tff(f515,plain,
( ! [X2: $real,X3: $real,X1: $real,X4: $real] :
( ~ $less(X3,$sum(X1,X4))
| ~ $less(X1,X2)
| $less(X3,$sum(X2,X4)) )
| ~ spl1_33 ),
inference(avatar_component_clause,[],[f514]) ).
tff(f1220,plain,
( spl1_53
| ~ spl1_9
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f135,f127,f57,f1218]) ).
tff(f1218,plain,
( spl1_53
<=> ! [X0: $real,X1: $real] :
( ~ $less(X0,4.25)
| ~ $less(X1,$sum(X0,sK0))
| $less(X1,10.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
tff(f57,plain,
( spl1_9
<=> ! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f127,plain,
( spl1_15
<=> ! [X0: $real] :
( $less($sum(X0,sK0),10.0)
| ~ $less(X0,4.25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f135,plain,
( ! [X0: $real,X1: $real] :
( ~ $less(X0,4.25)
| ~ $less(X1,$sum(X0,sK0))
| $less(X1,10.0) )
| ~ spl1_9
| ~ spl1_15 ),
inference(resolution,[],[f128,f58]) ).
tff(f58,plain,
( ! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f128,plain,
( ! [X0: $real] :
( $less($sum(X0,sK0),10.0)
| ~ $less(X0,4.25) )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f1215,plain,
( spl1_52
| ~ spl1_9
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f130,f105,f57,f1213]) ).
tff(f1213,plain,
( spl1_52
<=> ! [X0: $real,X1: $real] :
( ~ $less(4.25,X0)
| ~ $less(X1,10.0)
| $less(X1,$sum(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
tff(f130,plain,
( ! [X0: $real,X1: $real] :
( ~ $less(4.25,X0)
| ~ $less(X1,10.0)
| $less(X1,$sum(X0,sK0)) )
| ~ spl1_9
| ~ spl1_14 ),
inference(resolution,[],[f106,f58]) ).
tff(f1210,plain,
( spl1_51
| ~ spl1_16
| ~ spl1_19 ),
inference(avatar_split_clause,[],[f191,f166,f141,f1208]) ).
tff(f1208,plain,
( spl1_51
<=> ! [X18: $real] : ( $sum(10.0,$sum($uminus(sK0),X18)) = $sum(4.25,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
tff(f141,plain,
( spl1_16
<=> ! [X8: $real] : ( $sum(4.25,$sum(sK0,X8)) = $sum(10.0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f191,plain,
( ! [X18: $real] : ( $sum(10.0,$sum($uminus(sK0),X18)) = $sum(4.25,X18) )
| ~ spl1_16
| ~ spl1_19 ),
inference(superposition,[],[f142,f167]) ).
tff(f142,plain,
( ! [X8: $real] : ( $sum(4.25,$sum(sK0,X8)) = $sum(10.0,X8) )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f872,plain,
( ~ spl1_50
| ~ spl1_6
| ~ spl1_40 ),
inference(avatar_split_clause,[],[f819,f794,f42,f869]) ).
tff(f869,plain,
( spl1_50
<=> $less(4.25,$uminus(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
tff(f42,plain,
( spl1_6
<=> ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f794,plain,
( spl1_40
<=> ! [X0: $real] :
( $less(10.0,$sum(sK0,X0))
| ~ $less(4.25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
tff(f819,plain,
( ~ $less(4.25,$uminus(sK0))
| ~ spl1_6
| ~ spl1_40 ),
inference(evaluation,[],[f813]) ).
tff(f813,plain,
( $less(10.0,0.0)
| ~ $less(4.25,$uminus(sK0))
| ~ spl1_6
| ~ spl1_40 ),
inference(superposition,[],[f795,f43]) ).
tff(f43,plain,
( ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f795,plain,
( ! [X0: $real] :
( $less(10.0,$sum(sK0,X0))
| ~ $less(4.25,X0) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f794]) ).
tff(f867,plain,
( spl1_49
| ~ spl1_2
| ~ spl1_35 ),
inference(avatar_split_clause,[],[f608,f522,f25,f865]) ).
tff(f865,plain,
( spl1_49
<=> ! [X19: $real] :
( $less($sum(X19,-4.25),-10.0)
| ~ $less(X19,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
tff(f25,plain,
( spl1_2
<=> ( 10.0 = $sum(4.25,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f522,plain,
( spl1_35
<=> ! [X9: $real,X11: $real,X10: $real] :
( $less($sum(X11,$uminus(X10)),$uminus($sum(X10,X9)))
| ~ $less(X11,$uminus(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
tff(f608,plain,
( ! [X19: $real] :
( $less($sum(X19,-4.25),-10.0)
| ~ $less(X19,$uminus(sK0)) )
| ~ spl1_2
| ~ spl1_35 ),
inference(evaluation,[],[f597]) ).
tff(f597,plain,
( ! [X19: $real] :
( $less($sum(X19,$uminus(4.25)),$uminus(10.0))
| ~ $less(X19,$uminus(sK0)) )
| ~ spl1_2
| ~ spl1_35 ),
inference(superposition,[],[f523,f27]) ).
tff(f27,plain,
( ( 10.0 = $sum(4.25,sK0) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f523,plain,
( ! [X10: $real,X11: $real,X9: $real] :
( $less($sum(X11,$uminus(X10)),$uminus($sum(X10,X9)))
| ~ $less(X11,$uminus(X9)) )
| ~ spl1_35 ),
inference(avatar_component_clause,[],[f522]) ).
tff(f863,plain,
( spl1_48
| ~ spl1_2
| ~ spl1_34 ),
inference(avatar_split_clause,[],[f578,f518,f25,f861]) ).
tff(f861,plain,
( spl1_48
<=> ! [X19: $real] :
( $less(-10.0,$sum(X19,-4.25))
| ~ $less($uminus(sK0),X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
tff(f518,plain,
( spl1_34
<=> ! [X9: $real,X11: $real,X10: $real] :
( $less($uminus($sum(X10,X9)),$sum(X11,$uminus(X10)))
| ~ $less($uminus(X9),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
tff(f578,plain,
( ! [X19: $real] :
( $less(-10.0,$sum(X19,-4.25))
| ~ $less($uminus(sK0),X19) )
| ~ spl1_2
| ~ spl1_34 ),
inference(evaluation,[],[f559]) ).
tff(f559,plain,
( ! [X19: $real] :
( $less($uminus(10.0),$sum(X19,$uminus(4.25)))
| ~ $less($uminus(sK0),X19) )
| ~ spl1_2
| ~ spl1_34 ),
inference(superposition,[],[f519,f27]) ).
tff(f519,plain,
( ! [X10: $real,X11: $real,X9: $real] :
( $less($uminus($sum(X10,X9)),$sum(X11,$uminus(X10)))
| ~ $less($uminus(X9),X11) )
| ~ spl1_34 ),
inference(avatar_component_clause,[],[f518]) ).
tff(f859,plain,
( spl1_47
| ~ spl1_2
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f396,f312,f25,f857]) ).
tff(f857,plain,
( spl1_47
<=> ! [X19: $real] : ( $sum(X19,10.0) = $sum(4.25,$sum(sK0,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
tff(f312,plain,
( spl1_29
<=> ! [X6: $real,X5: $real,X7: $real] : ( $sum(X5,$sum(X6,X7)) = $sum(X7,$sum(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
tff(f396,plain,
( ! [X19: $real] : ( $sum(X19,10.0) = $sum(4.25,$sum(sK0,X19)) )
| ~ spl1_2
| ~ spl1_29 ),
inference(superposition,[],[f313,f27]) ).
tff(f313,plain,
( ! [X6: $real,X7: $real,X5: $real] : ( $sum(X5,$sum(X6,X7)) = $sum(X7,$sum(X5,X6)) )
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f312]) ).
tff(f855,plain,
( spl1_46
| ~ spl1_2
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f376,f312,f25,f853]) ).
tff(f853,plain,
( spl1_46
<=> ! [X19: $real] : ( $sum(sK0,$sum(X19,4.25)) = $sum(X19,10.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
tff(f376,plain,
( ! [X19: $real] : ( $sum(sK0,$sum(X19,4.25)) = $sum(X19,10.0) )
| ~ spl1_2
| ~ spl1_29 ),
inference(superposition,[],[f313,f27]) ).
tff(f851,plain,
( spl1_45
| ~ spl1_2
| ~ spl1_28 ),
inference(avatar_split_clause,[],[f331,f308,f25,f849]) ).
tff(f849,plain,
( spl1_45
<=> ! [X11: $real] : ( $sum(sK0,$sum(4.25,X11)) = $sum(10.0,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
tff(f308,plain,
( spl1_28
<=> ! [X4: $real,X2: $real,X3: $real] : ( $sum(X2,$sum(X3,X4)) = $sum($sum(X3,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
tff(f331,plain,
( ! [X11: $real] : ( $sum(sK0,$sum(4.25,X11)) = $sum(10.0,X11) )
| ~ spl1_2
| ~ spl1_28 ),
inference(superposition,[],[f309,f27]) ).
tff(f309,plain,
( ! [X2: $real,X3: $real,X4: $real] : ( $sum(X2,$sum(X3,X4)) = $sum($sum(X3,X2),X4) )
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f847,plain,
( spl1_44
| ~ spl1_7
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f145,f141,f46,f845]) ).
tff(f46,plain,
( spl1_7
<=> ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f145,plain,
( ! [X0: $real] : ( $sum(10.0,X0) = $sum(4.25,$sum(X0,sK0)) )
| ~ spl1_7
| ~ spl1_16 ),
inference(superposition,[],[f142,f47]) ).
tff(f47,plain,
( ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f808,plain,
( spl1_43
| ~ spl1_2
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f295,f225,f25,f806]) ).
tff(f806,plain,
( spl1_43
<=> ! [X11: $real] :
( $less($sum(X11,4.25),10.0)
| ~ $less(X11,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
tff(f225,plain,
( spl1_25
<=> ! [X4: $real,X5: $real,X3: $real] :
( $less($sum(X5,X4),$sum(X4,X3))
| ~ $less(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
tff(f295,plain,
( ! [X11: $real] :
( $less($sum(X11,4.25),10.0)
| ~ $less(X11,sK0) )
| ~ spl1_2
| ~ spl1_25 ),
inference(superposition,[],[f226,f27]) ).
tff(f226,plain,
( ! [X3: $real,X4: $real,X5: $real] :
( $less($sum(X5,X4),$sum(X4,X3))
| ~ $less(X5,X3) )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f804,plain,
( spl1_42
| ~ spl1_2
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f261,f221,f25,f802]) ).
tff(f802,plain,
( spl1_42
<=> ! [X11: $real] :
( $less(10.0,$sum(X11,4.25))
| ~ $less(sK0,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
tff(f221,plain,
( spl1_24
<=> ! [X4: $real,X5: $real,X3: $real] :
( $less($sum(X4,X3),$sum(X5,X4))
| ~ $less(X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
tff(f261,plain,
( ! [X11: $real] :
( $less(10.0,$sum(X11,4.25))
| ~ $less(sK0,X11) )
| ~ spl1_2
| ~ spl1_24 ),
inference(superposition,[],[f222,f27]) ).
tff(f222,plain,
( ! [X3: $real,X4: $real,X5: $real] :
( $less($sum(X4,X3),$sum(X5,X4))
| ~ $less(X3,X5) )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f800,plain,
( spl1_41
| ~ spl1_7
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f136,f127,f46,f798]) ).
tff(f798,plain,
( spl1_41
<=> ! [X0: $real] :
( $less($sum(sK0,X0),10.0)
| ~ $less(X0,4.25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
tff(f136,plain,
( ! [X0: $real] :
( $less($sum(sK0,X0),10.0)
| ~ $less(X0,4.25) )
| ~ spl1_7
| ~ spl1_15 ),
inference(superposition,[],[f128,f47]) ).
tff(f796,plain,
( spl1_40
| ~ spl1_7
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f131,f105,f46,f794]) ).
tff(f131,plain,
( ! [X0: $real] :
( $less(10.0,$sum(sK0,X0))
| ~ $less(4.25,X0) )
| ~ spl1_7
| ~ spl1_14 ),
inference(superposition,[],[f106,f47]) ).
tff(f782,plain,
( spl1_39
| ~ spl1_2
| ~ spl1_16
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f510,f475,f141,f25,f780]) ).
tff(f780,plain,
( spl1_39
<=> ! [X14: $real] :
( $less(10.0,X14)
| $less(X14,11.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
tff(f475,plain,
( spl1_32
<=> ! [X18: $real,X16: $real,X17: $real] :
( $less(X18,$sum(X16,$sum(X17,1.0)))
| $less($sum(X16,X17),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
tff(f510,plain,
( ! [X14: $real] :
( $less(10.0,X14)
| $less(X14,11.0) )
| ~ spl1_2
| ~ spl1_16
| ~ spl1_32 ),
inference(forward_demodulation,[],[f506,f27]) ).
tff(f506,plain,
( ! [X14: $real] :
( $less(X14,11.0)
| $less($sum(4.25,sK0),X14) )
| ~ spl1_16
| ~ spl1_32 ),
inference(evaluation,[],[f503]) ).
tff(f503,plain,
( ! [X14: $real] :
( $less(X14,$sum(10.0,1.0))
| $less($sum(4.25,sK0),X14) )
| ~ spl1_16
| ~ spl1_32 ),
inference(superposition,[],[f476,f142]) ).
tff(f476,plain,
( ! [X18: $real,X16: $real,X17: $real] :
( $less(X18,$sum(X16,$sum(X17,1.0)))
| $less($sum(X16,X17),X18) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f475]) ).
tff(f623,plain,
( spl1_38
| ~ spl1_12
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f119,f101,f75,f621]) ).
tff(f621,plain,
( spl1_38
<=> ! [X9: $real,X7: $real,X6: $real,X8: $real] :
( $less($sum(X6,$sum(X7,X8)),$sum(X9,X8))
| ~ $less($sum(X6,X7),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
tff(f75,plain,
( spl1_12
<=> ! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f101,plain,
( spl1_13
<=> ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f119,plain,
( ! [X8: $real,X6: $real,X9: $real,X7: $real] :
( $less($sum(X6,$sum(X7,X8)),$sum(X9,X8))
| ~ $less($sum(X6,X7),X9) )
| ~ spl1_12
| ~ spl1_13 ),
inference(superposition,[],[f76,f102]) ).
tff(f102,plain,
( ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f76,plain,
( ! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f619,plain,
( spl1_37
| ~ spl1_12
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f118,f101,f75,f617]) ).
tff(f617,plain,
( spl1_37
<=> ! [X3: $real,X4: $real,X5: $real,X2: $real] :
( $less($sum(X5,X4),$sum(X2,$sum(X3,X4)))
| ~ $less(X5,$sum(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
tff(f118,plain,
( ! [X2: $real,X3: $real,X4: $real,X5: $real] :
( $less($sum(X5,X4),$sum(X2,$sum(X3,X4)))
| ~ $less(X5,$sum(X2,X3)) )
| ~ spl1_12
| ~ spl1_13 ),
inference(superposition,[],[f76,f102]) ).
tff(f613,plain,
( spl1_36
| ~ spl1_11
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f113,f101,f71,f611]) ).
tff(f611,plain,
( spl1_36
<=> ! [X13: $real,X14: $real,X15: $real] : ( $sum($uminus(X13),$sum($uminus(X14),X15)) = $sum($uminus($sum(X14,X13)),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
tff(f71,plain,
( spl1_11
<=> ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f113,plain,
( ! [X14: $real,X15: $real,X13: $real] : ( $sum($uminus(X13),$sum($uminus(X14),X15)) = $sum($uminus($sum(X14,X13)),X15) )
| ~ spl1_11
| ~ spl1_13 ),
inference(superposition,[],[f102,f72]) ).
tff(f72,plain,
( ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f524,plain,
( spl1_35
| ~ spl1_11
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f99,f75,f71,f522]) ).
tff(f99,plain,
( ! [X10: $real,X11: $real,X9: $real] :
( $less($sum(X11,$uminus(X10)),$uminus($sum(X10,X9)))
| ~ $less(X11,$uminus(X9)) )
| ~ spl1_11
| ~ spl1_12 ),
inference(superposition,[],[f76,f72]) ).
tff(f520,plain,
( spl1_34
| ~ spl1_11
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f94,f75,f71,f518]) ).
tff(f94,plain,
( ! [X10: $real,X11: $real,X9: $real] :
( $less($uminus($sum(X10,X9)),$sum(X11,$uminus(X10)))
| ~ $less($uminus(X9),X11) )
| ~ spl1_11
| ~ spl1_12 ),
inference(superposition,[],[f76,f72]) ).
tff(f516,plain,
( spl1_33
| ~ spl1_9
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f89,f75,f57,f514]) ).
tff(f89,plain,
( ! [X2: $real,X3: $real,X1: $real,X4: $real] :
( ~ $less(X1,X2)
| ~ $less(X3,$sum(X1,X4))
| $less(X3,$sum(X2,X4)) )
| ~ spl1_9
| ~ spl1_12 ),
inference(resolution,[],[f76,f58]) ).
tff(f477,plain,
( spl1_32
| ~ spl1_8
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f122,f101,f50,f475]) ).
tff(f50,plain,
( spl1_8
<=> ! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,$sum(X0,1.0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f122,plain,
( ! [X18: $real,X16: $real,X17: $real] :
( $less(X18,$sum(X16,$sum(X17,1.0)))
| $less($sum(X16,X17),X18) )
| ~ spl1_8
| ~ spl1_13 ),
inference(superposition,[],[f51,f102]) ).
tff(f51,plain,
( ! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f473,plain,
( ~ spl1_31
| ~ spl1_20
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f238,f199,f170,f470]) ).
tff(f470,plain,
( spl1_31
<=> $less(10.0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
tff(f170,plain,
( spl1_20
<=> ( 4.25 = $sum(10.0,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
tff(f199,plain,
( spl1_22
<=> ! [X2: $real,X1: $real] :
( $less($sum(X2,$uminus(X1)),0.0)
| ~ $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
tff(f238,plain,
( ~ $less(10.0,sK0)
| ~ spl1_20
| ~ spl1_22 ),
inference(evaluation,[],[f233]) ).
tff(f233,plain,
( $less(4.25,0.0)
| ~ $less(10.0,sK0)
| ~ spl1_20
| ~ spl1_22 ),
inference(superposition,[],[f200,f172]) ).
tff(f172,plain,
( ( 4.25 = $sum(10.0,$uminus(sK0)) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f200,plain,
( ! [X2: $real,X1: $real] :
( $less($sum(X2,$uminus(X1)),0.0)
| ~ $less(X2,X1) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f468,plain,
( spl1_30
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f66,f61,f57,f466]) ).
tff(f466,plain,
( spl1_30
<=> ! [X2: $real,X1: $real,X3: $real] :
( $less(X2,X1)
| ( X1 = X2 )
| ~ $less(X3,X1)
| $less(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
tff(f61,plain,
( spl1_10
<=> ! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f66,plain,
( ! [X2: $real,X3: $real,X1: $real] :
( $less(X2,X1)
| ( X1 = X2 )
| ~ $less(X3,X1)
| $less(X3,X2) )
| ~ spl1_9
| ~ spl1_10 ),
inference(resolution,[],[f62,f58]) ).
tff(f62,plain,
( ! [X0: $real,X1: $real] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f314,plain,
( spl1_29
| ~ spl1_7
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f115,f101,f46,f312]) ).
tff(f115,plain,
( ! [X6: $real,X7: $real,X5: $real] : ( $sum(X5,$sum(X6,X7)) = $sum(X7,$sum(X5,X6)) )
| ~ spl1_7
| ~ spl1_13 ),
inference(superposition,[],[f102,f47]) ).
tff(f310,plain,
( spl1_28
| ~ spl1_7
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f109,f101,f46,f308]) ).
tff(f109,plain,
( ! [X2: $real,X3: $real,X4: $real] : ( $sum(X2,$sum(X3,X4)) = $sum($sum(X3,X2),X4) )
| ~ spl1_7
| ~ spl1_13 ),
inference(superposition,[],[f102,f47]) ).
tff(f306,plain,
( spl1_27
| ~ spl1_8
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f64,f57,f50,f304]) ).
tff(f304,plain,
( spl1_27
<=> ! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1.0))
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
tff(f64,plain,
( ! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1.0))
| $less(X2,X1) )
| ~ spl1_8
| ~ spl1_9 ),
inference(resolution,[],[f58,f51]) ).
tff(f231,plain,
( spl1_26
| ~ spl1_6
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f114,f101,f42,f229]) ).
tff(f229,plain,
( spl1_26
<=> ! [X4: $real,X3: $real] : ( 0.0 = $sum(X3,$sum(X4,$uminus($sum(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
tff(f114,plain,
( ! [X3: $real,X4: $real] : ( 0.0 = $sum(X3,$sum(X4,$uminus($sum(X3,X4)))) )
| ~ spl1_6
| ~ spl1_13 ),
inference(superposition,[],[f102,f43]) ).
tff(f227,plain,
( spl1_25
| ~ spl1_7
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f97,f75,f46,f225]) ).
tff(f97,plain,
( ! [X3: $real,X4: $real,X5: $real] :
( $less($sum(X5,X4),$sum(X4,X3))
| ~ $less(X5,X3) )
| ~ spl1_7
| ~ spl1_12 ),
inference(superposition,[],[f76,f47]) ).
tff(f223,plain,
( spl1_24
| ~ spl1_7
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f92,f75,f46,f221]) ).
tff(f92,plain,
( ! [X3: $real,X4: $real,X5: $real] :
( $less($sum(X4,X3),$sum(X5,X4))
| ~ $less(X3,X5) )
| ~ spl1_7
| ~ spl1_12 ),
inference(superposition,[],[f76,f47]) ).
tff(f219,plain,
( spl1_23
| ~ spl1_7
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f79,f71,f46,f217]) ).
tff(f217,plain,
( spl1_23
<=> ! [X4: $real,X3: $real] : ( $sum($uminus(X4),$uminus(X3)) = $uminus($sum(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
tff(f79,plain,
( ! [X3: $real,X4: $real] : ( $sum($uminus(X4),$uminus(X3)) = $uminus($sum(X4,X3)) )
| ~ spl1_7
| ~ spl1_11 ),
inference(superposition,[],[f72,f47]) ).
tff(f201,plain,
( spl1_22
| ~ spl1_6
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f96,f75,f42,f199]) ).
tff(f96,plain,
( ! [X2: $real,X1: $real] :
( $less($sum(X2,$uminus(X1)),0.0)
| ~ $less(X2,X1) )
| ~ spl1_6
| ~ spl1_12 ),
inference(superposition,[],[f76,f43]) ).
tff(f197,plain,
( spl1_21
| ~ spl1_6
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f91,f75,f42,f195]) ).
tff(f195,plain,
( spl1_21
<=> ! [X2: $real,X1: $real] :
( $less(0.0,$sum(X2,$uminus(X1)))
| ~ $less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
tff(f91,plain,
( ! [X2: $real,X1: $real] :
( $less(0.0,$sum(X2,$uminus(X1)))
| ~ $less(X1,X2) )
| ~ spl1_6
| ~ spl1_12 ),
inference(superposition,[],[f76,f43]) ).
tff(f173,plain,
( spl1_20
| ~ spl1_6
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f150,f141,f42,f170]) ).
tff(f150,plain,
( ( 4.25 = $sum(10.0,$uminus(sK0)) )
| ~ spl1_6
| ~ spl1_16 ),
inference(evaluation,[],[f144]) ).
tff(f144,plain,
( ( $sum(10.0,$uminus(sK0)) = $sum(4.25,0.0) )
| ~ spl1_6
| ~ spl1_16 ),
inference(superposition,[],[f142,f43]) ).
tff(f168,plain,
( spl1_19
| ~ spl1_6
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f123,f101,f42,f166]) ).
tff(f123,plain,
( ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl1_6
| ~ spl1_13 ),
inference(evaluation,[],[f108]) ).
tff(f108,plain,
( ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = $sum(0.0,X1) )
| ~ spl1_6
| ~ spl1_13 ),
inference(superposition,[],[f102,f43]) ).
tff(f164,plain,
( spl1_18
| ~ spl1_7
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f54,f50,f46,f162]) ).
tff(f162,plain,
( spl1_18
<=> ! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f54,plain,
( ! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| $less(X0,X1) )
| ~ spl1_7
| ~ spl1_8 ),
inference(superposition,[],[f51,f47]) ).
tff(f156,plain,
( spl1_17
| ~ spl1_3
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f53,f50,f30,f154]) ).
tff(f154,plain,
( spl1_17
<=> ! [X0: $real] : $less(X0,$sum(X0,1.0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f30,plain,
( spl1_3
<=> ! [X0: $real] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f53,plain,
( ! [X0: $real] : $less(X0,$sum(X0,1.0))
| ~ spl1_3
| ~ spl1_8 ),
inference(resolution,[],[f51,f31]) ).
tff(f31,plain,
( ! [X0: $real] : ~ $less(X0,X0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f143,plain,
( spl1_16
| ~ spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f111,f101,f25,f141]) ).
tff(f111,plain,
( ! [X8: $real] : ( $sum(4.25,$sum(sK0,X8)) = $sum(10.0,X8) )
| ~ spl1_2
| ~ spl1_13 ),
inference(superposition,[],[f102,f27]) ).
tff(f129,plain,
( spl1_15
| ~ spl1_2
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f95,f75,f25,f127]) ).
tff(f95,plain,
( ! [X0: $real] :
( $less($sum(X0,sK0),10.0)
| ~ $less(X0,4.25) )
| ~ spl1_2
| ~ spl1_12 ),
inference(superposition,[],[f76,f27]) ).
tff(f107,plain,
( spl1_14
| ~ spl1_2
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f90,f75,f25,f105]) ).
tff(f90,plain,
( ! [X0: $real] :
( $less(10.0,$sum(X0,sK0))
| ~ $less(4.25,X0) )
| ~ spl1_2
| ~ spl1_12 ),
inference(superposition,[],[f76,f27]) ).
tff(f103,plain,
spl1_13,
inference(avatar_split_clause,[],[f4,f101]) ).
tff(f4,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f77,plain,
spl1_12,
inference(avatar_split_clause,[],[f11,f75]) ).
tff(f11,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_148,[]) ).
tff(f73,plain,
spl1_11,
inference(avatar_split_clause,[],[f6,f71]) ).
tff(f6,plain,
! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_142,[]) ).
tff(f63,plain,
spl1_10,
inference(avatar_split_clause,[],[f10,f61]) ).
tff(f10,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_147,[]) ).
tff(f59,plain,
spl1_9,
inference(avatar_split_clause,[],[f9,f57]) ).
tff(f9,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_146,[]) ).
tff(f52,plain,
spl1_8,
inference(avatar_split_clause,[],[f12,f50]) ).
tff(f12,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,$sum(X0,1.0)) ),
introduced(theory_axiom_150,[]) ).
tff(f48,plain,
spl1_7,
inference(avatar_split_clause,[],[f3,f46]) ).
tff(f3,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f44,plain,
spl1_6,
inference(avatar_split_clause,[],[f7,f42]) ).
tff(f7,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f40,plain,
spl1_5,
inference(avatar_split_clause,[],[f13,f38]) ).
tff(f38,plain,
( spl1_5
<=> ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f13,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f36,plain,
spl1_4,
inference(avatar_split_clause,[],[f5,f34]) ).
tff(f34,plain,
( spl1_4
<=> ! [X0: $real] : ( $sum(X0,0.0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f5,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_140,[]) ).
tff(f32,plain,
spl1_3,
inference(avatar_split_clause,[],[f8,f30]) ).
tff(f8,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f28,plain,
spl1_2,
inference(avatar_split_clause,[],[f17,f25]) ).
tff(f17,plain,
10.0 = $sum(4.25,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 5.75 != sK0 )
& ( 10.0 = $sum(4.25,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $real] :
( ( 5.75 != X0 )
& ( $sum(4.25,X0) = 10.0 ) )
=> ( ( 5.75 != sK0 )
& ( 10.0 = $sum(4.25,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $real] :
( ( 5.75 != X0 )
& ( $sum(4.25,X0) = 10.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
=> ( 5.75 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
=> ( 5.75 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.VFiAq2rC6z/Vampire---4.8_17203',real_sum_problem_11) ).
tff(f23,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f20]) ).
tff(f18,plain,
5.75 != sK0,
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI411_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 17:59:38 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.42 % (17499)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (17535)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (17536)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (17537)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (17540)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.43 % (17535)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (17539)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (17535)Terminated due to inappropriate strategy.
% 0.23/0.43 % (17535)------------------------------
% 0.23/0.43 % (17535)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (17535)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (17535)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (17535)Memory used [KB]: 767
% 0.23/0.43 % (17535)Time elapsed: 0.002 s
% 0.23/0.43 % (17541)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.43 % (17535)------------------------------
% 0.23/0.43 % (17535)------------------------------
% 0.23/0.43 % (17536)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (17536)Terminated due to inappropriate strategy.
% 0.23/0.43 % (17536)------------------------------
% 0.23/0.43 % (17536)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (17536)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (17536)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (17536)Memory used [KB]: 767
% 0.23/0.43 % (17536)Time elapsed: 0.002 s
% 0.23/0.43 % (17536)------------------------------
% 0.23/0.43 % (17536)------------------------------
% 0.23/0.43 % (17542)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.43 % (17539)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (17539)Terminated due to inappropriate strategy.
% 0.23/0.43 % (17539)------------------------------
% 0.23/0.43 % (17539)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (17539)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (17539)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (17539)Memory used [KB]: 767
% 0.23/0.43 % (17539)Time elapsed: 0.002 s
% 0.23/0.43 % (17539)------------------------------
% 0.23/0.43 % (17539)------------------------------
% 0.23/0.43 % (17545)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.23/0.43 % (17546)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.23/0.43 % (17547)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.23/0.43 % (17545)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (17545)Terminated due to inappropriate strategy.
% 0.23/0.43 % (17545)------------------------------
% 0.23/0.43 % (17545)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (17545)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (17545)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (17545)Memory used [KB]: 767
% 0.23/0.43 % (17545)Time elapsed: 0.003 s
% 0.23/0.43 % (17545)------------------------------
% 0.23/0.43 % (17545)------------------------------
% 0.23/0.44 % (17549)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.23/0.49 % (17540)First to succeed.
% 0.23/0.49 % (17537)Also succeeded, but the first one will report.
% 0.23/0.49 % (17540)Refutation found. Thanks to Tanya!
% 0.23/0.49 % SZS status Theorem for Vampire---4
% 0.23/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.49 % (17540)------------------------------
% 0.23/0.49 % (17540)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (17540)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (17540)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (17540)Memory used [KB]: 6780
% 0.23/0.49 % (17540)Time elapsed: 0.063 s
% 0.23/0.49 % (17540)------------------------------
% 0.23/0.49 % (17540)------------------------------
% 0.23/0.49 % (17499)Success in time 0.121 s
% 0.23/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------