TSTP Solution File: NUM667_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM667_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 : n012.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 03:33:08 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 88 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 45 ~; 33 |; 3 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% 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(pred_def_1,type,
less: ( nat * nat ) > $o ).
tff(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f48,f51,f63,f66,f72]) ).
tff(f72,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f71]) ).
tff(f71,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f70,f22]) ).
tff(f22,plain,
x != z,
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( x != z )
& ~ less(x,z) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,negated_conjecture,
~ ( ~ less(x,z)
=> ( x = z ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
( ~ less(x,z)
=> ( x = z ) ),
file('/export/starexec/sandbox2/tmp/tmp.7S7rfKVM8I/Vampire---4.8_16791',satz17) ).
tff(f70,plain,
( ( x = z )
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_demodulation,[],[f47,f38]) ).
tff(f38,plain,
( ( x = y )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f36,plain,
( spl0_2
<=> ( x = y ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f47,plain,
( ( y = z )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f45,plain,
( spl0_4
<=> ( y = z ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f66,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f65,f45,f32]) ).
tff(f32,plain,
( spl0_1
<=> less(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f65,plain,
( ~ less(x,y)
| ~ spl0_4 ),
inference(backward_demodulation,[],[f21,f47]) ).
tff(f21,plain,
~ less(x,z),
inference(cnf_transformation,[],[f14]) ).
tff(f63,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f62]) ).
tff(f62,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f52,f21]) ).
tff(f52,plain,
( less(x,z)
| ~ spl0_1
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f34,f43,f24]) ).
tff(f24,plain,
! [X2: nat,X0: nat,X1: nat] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X2)
| ( ( X1 != X2 )
& ~ less(X1,X2) )
| ~ less(X0,X1) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X2)
| ( ( X1 != X2 )
& ~ less(X1,X2) )
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> ( ( ~ less(X1,X2)
=> ( X1 = X2 ) )
=> less(X0,X2) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: nat,X2: nat,X3: nat] :
( less(X1,X2)
=> ( ( ~ less(X2,X3)
=> ( X2 = X3 ) )
=> less(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7S7rfKVM8I/Vampire---4.8_16791',satz16b) ).
tff(f43,plain,
( less(y,z)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f41,plain,
( spl0_3
<=> less(y,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f34,plain,
( less(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f51,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f50]) ).
tff(f50,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f49,f21]) ).
tff(f49,plain,
( less(x,z)
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f43,f38]) ).
tff(f48,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f28,f45,f41]) ).
tff(f28,plain,
( ( y = z )
| less(y,z) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( y = z )
| less(y,z) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ less(y,z)
=> ( y = z ) ),
file('/export/starexec/sandbox2/tmp/tmp.7S7rfKVM8I/Vampire---4.8_16791',k) ).
tff(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f36,f32]) ).
tff(f23,plain,
( ( x = y )
| less(x,y) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ( x = y )
| less(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ less(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox2/tmp/tmp.7S7rfKVM8I/Vampire---4.8_16791',l) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM667_8 : TPTP v8.1.2. Released v8.0.0.
% 0.02/0.10 % 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
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 16:42:26 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TX0_THM_EQU_NAR problem
% 0.10/0.30 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.7S7rfKVM8I/Vampire---4.8_16791
% 0.61/0.78 % (16903)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 (2995ds/34Mi)
% 0.61/0.78 % (16906)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.78 % (16905)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (16904)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 (2995ds/51Mi)
% 0.61/0.78 % (16908)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.78 % (16907)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 (2995ds/34Mi)
% 0.61/0.78 % (16909)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 (2995ds/83Mi)
% 0.61/0.78 % (16910)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 (2995ds/56Mi)
% 0.61/0.78 % (16909)Refutation not found, incomplete strategy% (16909)------------------------------
% 0.61/0.78 % (16909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (16909)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (16909)Memory used [KB]: 963
% 0.61/0.78 % (16909)Time elapsed: 0.002 s
% 0.61/0.78 % (16909)Instructions burned: 2 (million)
% 0.61/0.78 % (16909)------------------------------
% 0.61/0.78 % (16909)------------------------------
% 0.61/0.78 % (16906)First to succeed.
% 0.61/0.78 % (16904)Also succeeded, but the first one will report.
% 0.61/0.78 % (16906)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (16906)------------------------------
% 0.61/0.78 % (16906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (16906)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (16906)Memory used [KB]: 989
% 0.61/0.78 % (16906)Time elapsed: 0.004 s
% 0.61/0.78 % (16906)Instructions burned: 3 (million)
% 0.61/0.78 % (16906)------------------------------
% 0.61/0.78 % (16906)------------------------------
% 0.61/0.78 % (16900)Success in time 0.471 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------