TSTP Solution File: NUM658_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM658_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Wed May 1 03:33:00 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 9 unt; 6 typ; 0 def)
% Number of atoms : 32 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 9 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 13 !; 0 ?; 14 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(pred_def_2,type,
less: ( nat * nat ) > $o ).
tff(pred_def_3,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f14]) ).
tff(f14,plain,
~ less(x,y),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
~ less(x,y),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ less(x,y),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
less(x,y),
file('/export/starexec/sandbox/tmp/tmp.blodbjrbbO/Vampire---4.8_26458',satz10j) ).
tff(f26,plain,
less(x,y),
inference(subsumption_resolution,[],[f25,f15]) ).
tff(f15,plain,
~ more(x,y),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( x != y )
& ~ more(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ( ~ more(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/tmp/tmp.blodbjrbbO/Vampire---4.8_26458',n) ).
tff(f25,plain,
( more(x,y)
| less(x,y) ),
inference(resolution,[],[f20,f19]) ).
tff(f19,plain,
~ sQ0_eqProxy(nat,x,y),
inference(equality_proxy_replacement,[],[f16,f18]) ).
tff(f18,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f16,plain,
x != y,
inference(cnf_transformation,[],[f11]) ).
tff(f20,plain,
! [X0: nat,X1: nat] :
( sQ0_eqProxy(nat,X0,X1)
| more(X0,X1)
| less(X0,X1) ),
inference(equality_proxy_replacement,[],[f17,f18]) ).
tff(f17,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ more(X0,X1)
=> less(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.blodbjrbbO/Vampire---4.8_26458',satz10a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM658_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:52:17 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TX0_THM_EQU_NAR problem
% 0.15/0.37 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.blodbjrbbO/Vampire---4.8_26458
% 0.56/0.76 % (26827)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)
% 0.56/0.76 % (26827)Refutation not found, incomplete strategy% (26827)------------------------------
% 0.56/0.76 % (26827)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (26827)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26827)Memory used [KB]: 946
% 0.56/0.76 % (26827)Time elapsed: 0.001 s
% 0.56/0.76 % (26827)Instructions burned: 2 (million)
% 0.56/0.76 % (26827)------------------------------
% 0.56/0.76 % (26827)------------------------------
% 0.56/0.76 % (26820)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)
% 0.56/0.76 % (26822)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (26823)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)
% 0.56/0.76 % (26821)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)
% 0.56/0.76 % (26825)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)
% 0.56/0.76 % (26826)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)
% 0.56/0.76 % (26824)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)
% 0.56/0.76 % (26820)First to succeed.
% 0.56/0.76 % (26824)Refutation not found, incomplete strategy% (26824)------------------------------
% 0.56/0.76 % (26824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (26824)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26824)Memory used [KB]: 951
% 0.56/0.76 % (26824)Time elapsed: 0.002 s
% 0.56/0.76 % (26824)Instructions burned: 2 (million)
% 0.56/0.76 % (26824)------------------------------
% 0.56/0.76 % (26824)------------------------------
% 0.56/0.76 % (26823)Also succeeded, but the first one will report.
% 0.56/0.76 % (26822)Also succeeded, but the first one will report.
% 0.56/0.76 % (26829)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.76 % (26820)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (26820)------------------------------
% 0.56/0.76 % (26820)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (26820)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (26820)Memory used [KB]: 970
% 0.56/0.76 % (26820)Time elapsed: 0.003 s
% 0.56/0.76 % (26820)Instructions burned: 2 (million)
% 0.56/0.76 % (26820)------------------------------
% 0.56/0.76 % (26820)------------------------------
% 0.56/0.76 % (26707)Success in time 0.383 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------