TSTP Solution File: NUM855+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n009.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 08:16:00 EDT 2024
% Result : Theorem 0.64s 0.81s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 25 unt; 0 def)
% Number of atoms : 134 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 120 ( 57 ~; 51 |; 2 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f978,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f605,f705,f767,f967]) ).
fof(f967,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f966,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f965,f121]) ).
fof(f121,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','holds(conseq_conjunct2(315), 516, 0)') ).
fof(f965,plain,
( greater(vmul(vd508,vd511),vmul(vd509,vd512))
| ~ spl4_1
| ~ spl4_3 ),
inference(forward_demodulation,[],[f942,f140]) ).
fof(f140,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X22,X23] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(270, 0), 0)') ).
fof(f942,plain,
( greater(vmul(vd508,vd511),vmul(vd512,vd509))
| ~ spl4_1
| ~ spl4_3 ),
inference(superposition,[],[f139,f832]) ).
fof(f832,plain,
( vmul(vd508,vd511) = vmul(vd511,vd509)
| ~ spl4_1
| ~ spl4_3 ),
inference(superposition,[],[f600,f189]) ).
fof(f189,plain,
( vmul(vd508,vd511) = vmul(vd509,vd512)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl4_1
<=> vmul(vd508,vd511) = vmul(vd509,vd512) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f600,plain,
( vmul(vd509,vd512) = vmul(vd511,vd509)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl4_3
<=> vmul(vd509,vd512) = vmul(vd511,vd509) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f139,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','holds(conjunct2(315), 515, 1)') ).
fof(f767,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f765,f165]) ).
fof(f165,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X75,X76] :
( ~ greater(X75,X76)
| X75 != X76 ),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(goal(130), 0), 3)') ).
fof(f765,plain,
( greater(vplus(vmul(vd511,vd509),vmul(vd509,vd512)),vplus(vmul(vd511,vd509),vmul(vd509,vd512)))
| ~ spl4_4 ),
inference(forward_demodulation,[],[f764,f149]) ).
fof(f149,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X92,X93] : vplus(X93,X92) = vplus(X92,X93),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(61, 0), 0)') ).
fof(f764,plain,
( greater(vplus(vmul(vd509,vd512),vmul(vd511,vd509)),vplus(vmul(vd511,vd509),vmul(vd509,vd512)))
| ~ spl4_4 ),
inference(forward_demodulation,[],[f727,f140]) ).
fof(f727,plain,
( greater(vplus(vmul(vd509,vd512),vmul(vd511,vd509)),vplus(vmul(vd511,vd509),vmul(vd512,vd509)))
| ~ spl4_4 ),
inference(unit_resulting_resolution,[],[f139,f604,f134]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X42,X43,X44,X45] :
( ( greater(X42,X43)
& greater(X44,X45) )
=> greater(vplus(X42,X44),vplus(X43,X45)) ),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(209, 0), 0)') ).
fof(f604,plain,
( greater(vmul(vd509,vd512),vmul(vd511,vd509))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl4_4
<=> greater(vmul(vd509,vd512),vmul(vd511,vd509)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f705,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f703,f165]) ).
fof(f703,plain,
( greater(vplus(vmul(vd508,vd511),vmul(vd511,vd509)),vplus(vmul(vd508,vd511),vmul(vd511,vd509)))
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f702,f149]) ).
fof(f702,plain,
( greater(vplus(vmul(vd511,vd509),vmul(vd508,vd511)),vplus(vmul(vd508,vd511),vmul(vd511,vd509)))
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f656,f138]) ).
fof(f138,plain,
vmul(vd511,vd509) = vmul(vd509,vd511),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vmul(vd511,vd509) = vmul(vd509,vd511),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','holds(conjunct2(315), 515, 0)') ).
fof(f656,plain,
( greater(vplus(vmul(vd511,vd509),vmul(vd508,vd511)),vplus(vmul(vd508,vd511),vmul(vd509,vd511)))
| ~ spl4_2
| ~ spl4_3 ),
inference(unit_resulting_resolution,[],[f123,f611,f134]) ).
fof(f611,plain,
( greater(vmul(vd511,vd509),vmul(vd508,vd511))
| ~ spl4_2
| ~ spl4_3 ),
inference(superposition,[],[f193,f600]) ).
fof(f193,plain,
( greater(vmul(vd509,vd512),vmul(vd508,vd511))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl4_2
<=> greater(vmul(vd509,vd512),vmul(vd508,vd511)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f123,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','holds(conjunct1(315), 514, 0)') ).
fof(f605,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f594,f602,f598]) ).
fof(f594,plain,
( greater(vmul(vd509,vd512),vmul(vd511,vd509))
| vmul(vd509,vd512) = vmul(vd511,vd509) ),
inference(resolution,[],[f586,f128]) ).
fof(f128,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X75,X76] :
( less(X75,X76)
| greater(X75,X76)
| X75 = X76 ),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(goal(130), 0), 0)') ).
fof(f586,plain,
~ less(vmul(vd509,vd512),vmul(vd511,vd509)),
inference(unit_resulting_resolution,[],[f542,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X71,X72] :
( less(X71,X72)
=> greater(X72,X71) ),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(147, 0), 0)') ).
fof(f542,plain,
~ greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f523,f138]) ).
fof(f523,plain,
~ greater(vmul(vd509,vd511),vmul(vd509,vd512)),
inference(unit_resulting_resolution,[],[f123,f242,f134]) ).
fof(f242,plain,
! [X0] : ~ greater(vplus(X0,vmul(vd508,vd511)),vplus(vmul(vd509,vd512),X0)),
inference(superposition,[],[f174,f149]) ).
fof(f174,plain,
! [X0] : ~ greater(vplus(vmul(vd508,vd511),X0),vplus(vmul(vd509,vd512),X0)),
inference(unit_resulting_resolution,[],[f121,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ greater(vplus(X0,X2),vplus(X1,X2))
| greater(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( greater(X0,X1)
| ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
=> greater(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X46,X47,X48] :
( greater(vplus(X46,X48),vplus(X47,X48))
=> greater(X46,X47) ),
file('/export/starexec/sandbox/tmp/tmp.VdGz0TLm90/Vampire---4.8_11305','ass(cond(goal(202), 0), 2)') ).
fof(f194,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f183,f191,f187]) ).
fof(f183,plain,
( greater(vmul(vd509,vd512),vmul(vd508,vd511))
| vmul(vd508,vd511) = vmul(vd509,vd512) ),
inference(resolution,[],[f175,f128]) ).
fof(f175,plain,
~ less(vmul(vd509,vd512),vmul(vd508,vd511)),
inference(unit_resulting_resolution,[],[f121,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n009.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 : Fri May 3 15:19:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.VdGz0TLm90/Vampire---4.8_11305
% 0.64/0.80 % (11534)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)
% 0.64/0.80 % (11530)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80 % (11531)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)
% 0.64/0.80 % (11529)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)
% 0.64/0.80 % (11532)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)
% 0.64/0.80 % (11533)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)
% 0.64/0.80 % (11533)Refutation not found, incomplete strategy% (11533)------------------------------
% 0.64/0.80 % (11533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (11533)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (11533)Memory used [KB]: 1040
% 0.64/0.80 % (11533)Time elapsed: 0.003 s
% 0.64/0.80 % (11533)Instructions burned: 3 (million)
% 0.64/0.80 % (11535)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)
% 0.64/0.80 % (11533)------------------------------
% 0.64/0.80 % (11533)------------------------------
% 0.64/0.80 % (11532)Refutation not found, incomplete strategy% (11532)------------------------------
% 0.64/0.80 % (11532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (11532)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (11532)Memory used [KB]: 1075
% 0.64/0.80 % (11532)Time elapsed: 0.004 s
% 0.64/0.80 % (11532)Instructions burned: 5 (million)
% 0.64/0.80 % (11532)------------------------------
% 0.64/0.80 % (11532)------------------------------
% 0.64/0.80 % (11535)Refutation not found, incomplete strategy% (11535)------------------------------
% 0.64/0.80 % (11535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (11535)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (11528)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)
% 0.64/0.80 % (11535)Memory used [KB]: 1040
% 0.64/0.80 % (11535)Time elapsed: 0.004 s
% 0.64/0.80 % (11535)Instructions burned: 3 (million)
% 0.64/0.80 % (11535)------------------------------
% 0.64/0.80 % (11535)------------------------------
% 0.64/0.81 % (11536)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 (2995ds/55Mi)
% 0.64/0.81 % (11538)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.81 % (11528)Refutation not found, incomplete strategy% (11528)------------------------------
% 0.64/0.81 % (11528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (11528)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (11528)Memory used [KB]: 1085
% 0.64/0.81 % (11528)Time elapsed: 0.008 s
% 0.64/0.81 % (11528)Instructions burned: 10 (million)
% 0.64/0.81 % (11528)------------------------------
% 0.64/0.81 % (11528)------------------------------
% 0.64/0.81 % (11534)First to succeed.
% 0.64/0.81 % (11534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11527"
% 0.64/0.81 % (11534)Refutation found. Thanks to Tanya!
% 0.64/0.81 % SZS status Theorem for Vampire---4
% 0.64/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82 % (11534)------------------------------
% 0.64/0.82 % (11534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (11534)Termination reason: Refutation
% 0.64/0.82
% 0.64/0.82 % (11534)Memory used [KB]: 1316
% 0.64/0.82 % (11534)Time elapsed: 0.015 s
% 0.64/0.82 % (11534)Instructions burned: 44 (million)
% 0.64/0.82 % (11527)Success in time 0.434 s
% 0.64/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------