TSTP Solution File: NUM755_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM755_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 : n017.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 : Sun May 5 08:15:11 EDT 2024
% Result : Theorem 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 20 |; 4 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_3,type,
lessf: ( frac * frac ) > $o ).
tff(f46,plain,
$false,
inference(resolution,[],[f43,f26]) ).
tff(f26,plain,
moref(pf(x,z),pf(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
moref(pf(x,z),pf(y,z)),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',m) ).
tff(f43,plain,
! [X0: frac] : ~ moref(pf(x,X0),pf(y,X0)),
inference(resolution,[],[f38,f29]) ).
tff(f29,plain,
! [X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ~ ~ ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: frac,X2: frac] :
~ ( ( eq(X1,X2)
=> ~ moref(X1,X2) )
=> ~ ~ ( ( moref(X1,X2)
=> ~ lessf(X1,X2) )
=> ~ ( lessf(X1,X2)
=> ~ eq(X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',satz41b) ).
tff(f38,plain,
! [X0: frac] : lessf(pf(x,X0),pf(y,X0)),
inference(resolution,[],[f37,f31]) ).
tff(f31,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| lessf(pf(X0,X2),pf(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> lessf(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> lessf(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',satz62c) ).
tff(f37,plain,
lessf(x,y),
inference(subsumption_resolution,[],[f36,f25]) ).
tff(f25,plain,
~ moref(x,y),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
~ moref(x,y),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ moref(x,y),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
moref(x,y),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',satz63a) ).
tff(f36,plain,
( moref(x,y)
| lessf(x,y) ),
inference(resolution,[],[f35,f27]) ).
tff(f27,plain,
! [X0: frac,X1: frac] :
( eq(X0,X1)
| moref(X0,X1)
| lessf(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
=> ( ~ moref(X0,X1)
=> lessf(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac] :
( ~ eq(X1,X2)
=> ( ~ moref(X1,X2)
=> lessf(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',satz41a) ).
tff(f35,plain,
~ eq(x,y),
inference(resolution,[],[f34,f26]) ).
tff(f34,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ moref(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(resolution,[],[f32,f28]) ).
tff(f28,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f32,plain,
! [X2: frac,X0: frac,X1: frac] :
( eq(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(pf(X0,X2),pf(X1,X2))
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X1)
=> eq(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac] :
( eq(X1,X2)
=> eq(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.5Dyd5vyRMZ/Vampire---4.8_27166',satz62b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM755_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 13:36:06 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.31 This is a TX0_THM_NEQ_NAR problem
% 0.09/0.31 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.5Dyd5vyRMZ/Vampire---4.8_27166
% 0.54/0.73 % (27282)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)
% 0.54/0.73 % (27280)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)
% 0.54/0.73 % (27279)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)
% 0.54/0.73 % (27276)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)
% 0.54/0.73 % (27277)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)
% 0.54/0.73 % (27278)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.73 % (27281)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)
% 0.54/0.73 % (27283)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)
% 0.54/0.73 % (27281)Refutation not found, incomplete strategy% (27281)------------------------------
% 0.54/0.73 % (27281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (27281)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (27281)Memory used [KB]: 943
% 0.54/0.73 % (27281)Time elapsed: 0.002 s
% 0.54/0.73 % (27281)Instructions burned: 2 (million)
% 0.54/0.73 % (27283)Refutation not found, incomplete strategy% (27283)------------------------------
% 0.54/0.73 % (27283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (27283)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (27283)Memory used [KB]: 943
% 0.54/0.73 % (27283)Time elapsed: 0.002 s
% 0.54/0.73 % (27283)Instructions burned: 2 (million)
% 0.54/0.73 % (27276)Refutation not found, incomplete strategy% (27276)------------------------------
% 0.54/0.73 % (27276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (27280)Refutation not found, incomplete strategy% (27280)------------------------------
% 0.54/0.73 % (27280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (27281)------------------------------
% 0.54/0.73 % (27281)------------------------------
% 0.54/0.73 % (27280)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (27280)Memory used [KB]: 953
% 0.54/0.73 % (27280)Time elapsed: 0.002 s
% 0.54/0.73 % (27280)Instructions burned: 2 (million)
% 0.54/0.73 % (27282)Refutation not found, incomplete strategy% (27282)------------------------------
% 0.54/0.73 % (27282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (27282)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (27282)Memory used [KB]: 950
% 0.54/0.73 % (27282)Time elapsed: 0.002 s
% 0.54/0.73 % (27282)Instructions burned: 2 (million)
% 0.54/0.73 % (27276)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (27276)Memory used [KB]: 950
% 0.54/0.73 % (27276)Time elapsed: 0.003 s
% 0.54/0.73 % (27276)Instructions burned: 2 (million)
% 0.54/0.74 % (27283)------------------------------
% 0.54/0.74 % (27283)------------------------------
% 0.54/0.74 % (27279)Refutation not found, incomplete strategy% (27279)------------------------------
% 0.54/0.74 % (27279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (27280)------------------------------
% 0.54/0.74 % (27280)------------------------------
% 0.54/0.74 % (27279)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (27282)------------------------------
% 0.54/0.74 % (27282)------------------------------
% 0.54/0.74 % (27279)Memory used [KB]: 943
% 0.54/0.74 % (27279)Time elapsed: 0.003 s
% 0.54/0.74 % (27279)Instructions burned: 2 (million)
% 0.54/0.74 % (27278)First to succeed.
% 0.54/0.74 % (27276)------------------------------
% 0.54/0.74 % (27276)------------------------------
% 0.54/0.74 % (27279)------------------------------
% 0.54/0.74 % (27279)------------------------------
% 0.54/0.74 % (27277)Also succeeded, but the first one will report.
% 0.54/0.74 % (27278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27275"
% 0.54/0.74 % (27278)Refutation found. Thanks to Tanya!
% 0.54/0.74 % SZS status Theorem for Vampire---4
% 0.54/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74 % (27278)------------------------------
% 0.54/0.74 % (27278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (27278)Termination reason: Refutation
% 0.54/0.74
% 0.54/0.74 % (27278)Memory used [KB]: 974
% 0.54/0.74 % (27278)Time elapsed: 0.003 s
% 0.54/0.74 % (27278)Instructions burned: 3 (million)
% 0.54/0.74 % (27275)Success in time 0.425 s
% 0.54/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------