TSTP Solution File: SWW496_5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW496_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n020.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 : Sat Sep 2 14:12:18 EDT 2023
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 60
% Syntax : Number of formulae : 103 ( 5 unt; 46 typ; 0 def)
% Number of atoms : 154 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 67 ~; 61 |; 16 &)
% ( 9 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 7 prp; 0-4 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-4 aty)
% Number of variables : 64 (; 18 !; 9 ?; 64 :)
% ( 37 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_3,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_4,type,
fFalse: bool ).
tff(func_def_5,type,
fTrue: bool ).
tff(func_def_6,type,
l: real ).
tff(func_def_7,type,
p: fun(real,bool) ).
tff(func_def_8,type,
y1: real ).
tff(func_def_9,type,
x: real ).
tff(func_def_10,type,
y: real ).
tff(func_def_11,type,
sK0: real ).
tff(func_def_12,type,
sK1: real ).
tff(func_def_13,type,
sK2: real ).
tff(func_def_14,type,
sK3: real ).
tff(func_def_15,type,
sK4: real ).
tff(func_def_16,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_17,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_18,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_19,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_20,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_21,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_22,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_24,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_25,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_26,type,
sK15: real ).
tff(func_def_27,type,
sK16: real ).
tff(func_def_28,type,
sK17: real ).
tff(func_def_29,type,
sK18: real ).
tff(func_def_30,type,
sK19: real ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_8,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f637,plain,
$false,
inference(avatar_sat_refutation,[],[f569,f574,f579,f584,f589,f590,f608,f636]) ).
tff(f636,plain,
( ~ spl20_1
| ~ spl20_5
| ~ spl20_6 ),
inference(avatar_contradiction_clause,[],[f635]) ).
tff(f635,plain,
( $false
| ~ spl20_1
| ~ spl20_5
| ~ spl20_6 ),
inference(subsumption_resolution,[],[f634,f407]) ).
tff(f407,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f115]) ).
tff(f115,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',help_pp_1_1_U) ).
tff(f634,plain,
( pp(fFalse)
| ~ spl20_1
| ~ spl20_5
| ~ spl20_6 ),
inference(backward_demodulation,[],[f588,f633]) ).
tff(f633,plain,
( ( fFalse = aa(real,bool,p,sK1) )
| ~ spl20_1
| ~ spl20_5 ),
inference(resolution,[],[f618,f583]) ).
tff(f583,plain,
( ord_less(real,y,sK1)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f581]) ).
tff(f581,plain,
( spl20_5
<=> ord_less(real,y,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
tff(f618,plain,
( ! [X0: real] :
( ~ ord_less(real,y,X0)
| ( fFalse = aa(real,bool,p,X0) ) )
| ~ spl20_1 ),
inference(subsumption_resolution,[],[f613,f418]) ).
tff(f418,plain,
pp(fTrue),
inference(cnf_transformation,[],[f116]) ).
tff(f116,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',help_pp_2_1_U) ).
tff(f613,plain,
( ! [X0: real] :
( ~ pp(fTrue)
| ~ ord_less(real,y,X0)
| ( fFalse = aa(real,bool,p,X0) ) )
| ~ spl20_1 ),
inference(superposition,[],[f564,f430]) ).
tff(f430,plain,
! [X0: bool] :
( ( fTrue = X0 )
| ( fFalse = X0 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: bool] :
( ( fFalse = X0 )
| ( fTrue = X0 ) ),
inference(rectify,[],[f119]) ).
tff(f119,axiom,
! [X34: bool] :
( ( fFalse = X34 )
| ( fTrue = X34 ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',help_fTrue_1_1_T) ).
tff(f564,plain,
( ! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ~ ord_less(real,y,X0) )
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f563]) ).
tff(f563,plain,
( spl20_1
<=> ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
tff(f588,plain,
( pp(aa(real,bool,p,sK1))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f586]) ).
tff(f586,plain,
( spl20_6
<=> pp(aa(real,bool,p,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
tff(f608,plain,
( ~ spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f607]) ).
tff(f607,plain,
( $false
| ~ spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f606,f573]) ).
tff(f573,plain,
( ord_less(real,y,sK0)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f571]) ).
tff(f571,plain,
( spl20_3
<=> ord_less(real,y,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
tff(f606,plain,
( ~ ord_less(real,y,sK0)
| ~ spl20_1
| ~ spl20_4 ),
inference(resolution,[],[f564,f578]) ).
tff(f578,plain,
( pp(aa(real,bool,p,sK0))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f576]) ).
tff(f576,plain,
( spl20_4
<=> pp(aa(real,bool,p,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
tff(f590,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f507,f566,f563]) ).
tff(f566,plain,
( spl20_2
<=> ord_less(real,y,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
tff(f507,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(cnf_transformation,[],[f302]) ).
tff(f302,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(flattening,[],[f301]) ).
tff(f301,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(ennf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ( ord_less(real,y,X0)
=> ord_less(real,y,l) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: real] :
( pp(aa(real,bool,p,X5))
=> ( ord_less(real,y,X5)
=> ord_less(real,y,l) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',fact_3__096_B_Bz_O_A_091_124_AP_Az_059_Ay_A_060_Az_A_124_093_A_061_061_062_Ay_A_060_AL_096) ).
tff(f589,plain,
( ~ spl20_2
| spl20_6 ),
inference(avatar_split_clause,[],[f424,f586,f566]) ).
tff(f424,plain,
( pp(aa(real,bool,p,sK1))
| ~ ord_less(real,y,l) ),
inference(cnf_transformation,[],[f344]) ).
tff(f344,plain,
( ( ord_less(real,y,sK1)
& pp(aa(real,bool,p,sK1)) )
| ~ ord_less(real,y,l) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f225,f343]) ).
tff(f343,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
=> ( ord_less(real,y,sK1)
& pp(aa(real,bool,p,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f225,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
| ~ ord_less(real,y,l) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
( ord_less(real,y,l)
=> ~ ! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ~ ord_less(real,y,X0) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
( ord_less(real,y,l)
=> ~ ! [X3: real] :
( pp(aa(real,bool,p,X3))
=> ~ ord_less(real,y,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096) ).
tff(f584,plain,
( ~ spl20_2
| spl20_5 ),
inference(avatar_split_clause,[],[f425,f581,f566]) ).
tff(f425,plain,
( ord_less(real,y,sK1)
| ~ ord_less(real,y,l) ),
inference(cnf_transformation,[],[f344]) ).
tff(f579,plain,
( spl20_4
| spl20_2 ),
inference(avatar_split_clause,[],[f404,f566,f576]) ).
tff(f404,plain,
( ord_less(real,y,l)
| pp(aa(real,bool,p,sK0)) ),
inference(cnf_transformation,[],[f342]) ).
tff(f342,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ( ord_less(real,y,sK0)
& pp(aa(real,bool,p,sK0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f340,f341]) ).
tff(f341,plain,
( ? [X1: real] :
( ord_less(real,y,X1)
& pp(aa(real,bool,p,X1)) )
=> ( ord_less(real,y,sK0)
& pp(aa(real,bool,p,sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f340,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ? [X1: real] :
( ord_less(real,y,X1)
& pp(aa(real,bool,p,X1)) ) ) ),
inference(rectify,[],[f339]) ).
tff(f339,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) ) ) ),
inference(nnf_transformation,[],[f224]) ).
tff(f224,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
<~> ord_less(real,y,l) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
~ ( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
<=> ord_less(real,y,l) ),
inference(rectify,[],[f121]) ).
tff(f121,negated_conjecture,
~ ( ? [X17: real] :
( ord_less(real,y,X17)
& pp(aa(real,bool,p,X17)) )
<=> ord_less(real,y,l) ),
inference(negated_conjecture,[],[f120]) ).
tff(f120,conjecture,
( ? [X17: real] :
( ord_less(real,y,X17)
& pp(aa(real,bool,p,X17)) )
<=> ord_less(real,y,l) ),
file('/export/starexec/sandbox2/tmp/tmp.GQdW2rebyp/Vampire---4.8_25714',conj_0) ).
tff(f574,plain,
( spl20_3
| spl20_2 ),
inference(avatar_split_clause,[],[f405,f566,f571]) ).
tff(f405,plain,
( ord_less(real,y,l)
| ord_less(real,y,sK0) ),
inference(cnf_transformation,[],[f342]) ).
tff(f569,plain,
( spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f406,f566,f563]) ).
tff(f406,plain,
! [X0: real] :
( ~ ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(cnf_transformation,[],[f342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SWW496_5 : TPTP v8.1.2. Released v6.0.0.
% 0.06/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 16:46:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.19/0.42 % (25840)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.43 % (25842)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.43 % (25844)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.43 % (25845)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)
% 0.19/0.43 % (25843)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)
% 0.19/0.43 % (25846)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)
% 0.19/0.43 % (25847)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)
% 0.19/0.43 % (25841)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.43 % Exception at run slice level
% 0.19/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.43 % Exception at run slice level
% 0.19/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.43 % (25847)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.43 % Exception at run slice level
% 0.19/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.43 % (25848)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.19/0.43 % (25849)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)
% 0.19/0.43 % (25850)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)
% 0.19/0.43 % (25848)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.43 % (25849)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.43 % Exception at run slice level
% 0.19/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.44 % (25851)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)
% 0.19/0.44 % (25850)First to succeed.
% 0.19/0.44 % (25850)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Theorem for Vampire---4
% 0.19/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.44 % (25850)------------------------------
% 0.19/0.44 % (25850)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.44 % (25850)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.44 % (25850)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (25850)Memory used [KB]: 5756
% 0.19/0.44 % (25850)Time elapsed: 0.008 s
% 0.19/0.44 % (25850)------------------------------
% 0.19/0.44 % (25850)------------------------------
% 0.19/0.44 % (25840)Success in time 0.077 s
% 0.19/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------