TSTP Solution File: NUM680_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM680_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 : Wed May 1 03:33:16 EDT 2024
% Result : Theorem 0.72s 0.92s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 88 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 55 ~; 24 |; 4 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(pred_def_2,type,
less: ( nat * nat ) > $o ).
tff(f76,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f69,f75]) ).
tff(f75,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f74]) ).
tff(f74,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f71,f38]) ).
tff(f38,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f29]) ).
tff(f29,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ more(X1,X2) )
=> ~ ~ ( ( more(X1,X2)
=> ~ less(X1,X2) )
=> ~ ( less(X1,X2)
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412',satz10b) ).
tff(f71,plain,
( more(pl(x,z),pl(x,z))
| ~ spl0_1 ),
inference(superposition,[],[f27,f62]) ).
tff(f62,plain,
( ( x = y )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f60,plain,
( spl0_1
<=> ( x = y ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f27,plain,
more(pl(x,z),pl(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
more(pl(x,z),pl(y,z)),
file('/export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412',m) ).
tff(f69,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f68]) ).
tff(f68,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f66,f35]) ).
tff(f35,plain,
~ more(x,y),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ more(x,y),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ more(x,y),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
more(x,y),
file('/export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412',satz20a) ).
tff(f66,plain,
( more(x,y)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f64,plain,
( spl0_2
<=> more(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f67,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
tff(f58,plain,
( more(x,y)
| ( x = y ) ),
inference(resolution,[],[f57,f34]) ).
tff(f34,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ more(X0,X1)
=> less(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ~ more(X1,X2)
=> less(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412',satz10a) ).
tff(f57,plain,
~ less(x,y),
inference(resolution,[],[f56,f27]) ).
tff(f56,plain,
! [X2: nat,X0: nat,X1: nat] :
( ~ more(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(resolution,[],[f33,f30]) ).
tff(f30,plain,
! [X0: nat,X1: nat] :
( ~ less(X0,X1)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f33,plain,
! [X2: nat,X0: nat,X1: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> less(pl(X0,X2),pl(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: nat,X2: nat,X3: nat] :
( less(X1,X2)
=> less(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412',satz19c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM680_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n031.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 : Tue Apr 30 17:23:44 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TX0_THM_EQU_NAR problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.TfszTShsuY/Vampire---4.8_23412
% 0.72/0.92 % (23689)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.92 % (23687)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 (2994ds/34Mi)
% 0.72/0.92 % (23688)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 (2994ds/51Mi)
% 0.72/0.92 % (23690)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.92 % (23691)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 (2994ds/34Mi)
% 0.72/0.92 % (23692)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.92 % (23693)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 (2994ds/83Mi)
% 0.72/0.92 % (23694)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 (2994ds/56Mi)
% 0.72/0.92 % (23690)Refutation not found, incomplete strategy% (23690)------------------------------
% 0.72/0.92 % (23690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23690)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23690)Memory used [KB]: 943
% 0.72/0.92 % (23690)Time elapsed: 0.002 s
% 0.72/0.92 % (23690)Instructions burned: 2 (million)
% 0.72/0.92 % (23690)------------------------------
% 0.72/0.92 % (23690)------------------------------
% 0.72/0.92 % (23692)Refutation not found, incomplete strategy% (23692)------------------------------
% 0.72/0.92 % (23692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23692)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23692)Memory used [KB]: 943
% 0.72/0.92 % (23692)Time elapsed: 0.002 s
% 0.72/0.92 % (23692)Instructions burned: 2 (million)
% 0.72/0.92 % (23692)------------------------------
% 0.72/0.92 % (23692)------------------------------
% 0.72/0.92 % (23687)Refutation not found, incomplete strategy% (23687)------------------------------
% 0.72/0.92 % (23687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23694)Refutation not found, incomplete strategy% (23694)------------------------------
% 0.72/0.92 % (23694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23694)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23694)Memory used [KB]: 943
% 0.72/0.92 % (23694)Time elapsed: 0.002 s
% 0.72/0.92 % (23694)Instructions burned: 2 (million)
% 0.72/0.92 % (23694)------------------------------
% 0.72/0.92 % (23694)------------------------------
% 0.72/0.92 % (23687)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23687)Memory used [KB]: 963
% 0.72/0.92 % (23687)Time elapsed: 0.003 s
% 0.72/0.92 % (23687)Instructions burned: 2 (million)
% 0.72/0.92 % (23687)------------------------------
% 0.72/0.92 % (23687)------------------------------
% 0.72/0.92 % (23691)Refutation not found, incomplete strategy% (23691)------------------------------
% 0.72/0.92 % (23691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23691)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23693)Refutation not found, incomplete strategy% (23693)------------------------------
% 0.72/0.92 % (23693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23691)Memory used [KB]: 953
% 0.72/0.92 % (23691)Time elapsed: 0.002 s
% 0.72/0.92 % (23691)Instructions burned: 2 (million)
% 0.72/0.92 % (23691)------------------------------
% 0.72/0.92 % (23691)------------------------------
% 0.72/0.92 % (23693)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (23693)Memory used [KB]: 951
% 0.72/0.92 % (23693)Time elapsed: 0.002 s
% 0.72/0.92 % (23693)Instructions burned: 2 (million)
% 0.72/0.92 % (23693)------------------------------
% 0.72/0.92 % (23693)------------------------------
% 0.72/0.92 % (23688)First to succeed.
% 0.72/0.92 % (23688)Refutation found. Thanks to Tanya!
% 0.72/0.92 % SZS status Theorem for Vampire---4
% 0.72/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.92 % (23688)------------------------------
% 0.72/0.92 % (23688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.92 % (23688)Termination reason: Refutation
% 0.72/0.92
% 0.72/0.92 % (23688)Memory used [KB]: 989
% 0.72/0.92 % (23688)Time elapsed: 0.004 s
% 0.72/0.92 % (23688)Instructions burned: 4 (million)
% 0.72/0.92 % (23688)------------------------------
% 0.72/0.92 % (23688)------------------------------
% 0.72/0.92 % (23603)Success in time 0.551 s
% 0.72/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------