TSTP Solution File: GRP572-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n016.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 05:49:08 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,plain,
$false,
inference(subsumption_resolution,[],[f234,f54]) ).
fof(f54,plain,
sP0(double_divide(identity,double_divide(a,b))),
inference(backward_demodulation,[],[f9,f51]) ).
fof(f51,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f45,f48]) ).
fof(f48,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(backward_demodulation,[],[f42,f43]) ).
fof(f43,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f14,f38]) ).
fof(f38,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f37,f6]) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.DoDNC6Cu6u/Vampire---4.8_22825',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.DoDNC6Cu6u/Vampire---4.8_22825',identity) ).
fof(f37,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(X0,identity)),
inference(forward_demodulation,[],[f36,f14]) ).
fof(f36,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),
inference(forward_demodulation,[],[f32,f29]) ).
fof(f29,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f24,f6]) ).
fof(f24,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,double_divide(identity,identity))),
inference(superposition,[],[f17,f14]) ).
fof(f17,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))) = double_divide(X1,identity),
inference(backward_demodulation,[],[f13,f15]) ).
fof(f15,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f14]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/tmp/tmp.DoDNC6Cu6u/Vampire---4.8_22825',single_axiom) ).
fof(f13,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(double_divide(identity,identity),identity))),
inference(superposition,[],[f17,f24]) ).
fof(f14,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f12,f6]) ).
fof(f12,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f42,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(backward_demodulation,[],[f24,f38]) ).
fof(f45,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(backward_demodulation,[],[f30,f42]) ).
fof(f30,plain,
! [X0] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(identity,X0),
inference(superposition,[],[f24,f14]) ).
fof(f9,plain,
sP0(double_divide(double_divide(a,b),identity)),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f8,plain,
~ sP0(double_divide(double_divide(b,a),identity)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/tmp/tmp.DoDNC6Cu6u/Vampire---4.8_22825',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.DoDNC6Cu6u/Vampire---4.8_22825',prove_these_axioms_4) ).
fof(f234,plain,
~ sP0(double_divide(identity,double_divide(a,b))),
inference(backward_demodulation,[],[f55,f214]) ).
fof(f214,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f211,f123]) ).
fof(f123,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f49,f43]) ).
fof(f49,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),X0)),
inference(backward_demodulation,[],[f47,f48]) ).
fof(f47,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity)))),
inference(backward_demodulation,[],[f20,f42]) ).
fof(f20,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity))),
inference(superposition,[],[f17,f6]) ).
fof(f211,plain,
! [X0,X1] : double_divide(X1,double_divide(X1,X0)) = X0,
inference(forward_demodulation,[],[f198,f43]) ).
fof(f198,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),identity) = double_divide(X1,double_divide(X1,X0)),
inference(superposition,[],[f17,f142]) ).
fof(f142,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f123,f123]) ).
fof(f55,plain,
~ sP0(double_divide(identity,double_divide(b,a))),
inference(backward_demodulation,[],[f8,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:40:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 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.DoDNC6Cu6u/Vampire---4.8_22825
% 0.56/0.74 % (22941)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)
% 0.56/0.74 % (22941)Refutation not found, incomplete strategy% (22941)------------------------------
% 0.56/0.74 % (22941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22941)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22941)Memory used [KB]: 948
% 0.56/0.74 % (22941)Time elapsed: 0.001 s
% 0.56/0.74 % (22941)Instructions burned: 2 (million)
% 0.56/0.74 % (22941)------------------------------
% 0.56/0.74 % (22941)------------------------------
% 0.56/0.74 % (22934)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)
% 0.56/0.74 % (22936)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (22937)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)
% 0.56/0.74 % (22935)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)
% 0.56/0.74 % (22939)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)
% 0.56/0.74 % (22940)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)
% 0.56/0.74 % (22938)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)
% 0.56/0.74 % (22937)Refutation not found, incomplete strategy% (22937)------------------------------
% 0.56/0.74 % (22937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22937)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22937)Memory used [KB]: 947
% 0.56/0.74 % (22937)Time elapsed: 0.002 s
% 0.56/0.74 % (22937)Instructions burned: 2 (million)
% 0.56/0.74 % (22934)Refutation not found, incomplete strategy% (22934)------------------------------
% 0.56/0.74 % (22934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22939)Refutation not found, incomplete strategy% (22939)------------------------------
% 0.56/0.74 % (22939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22939)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22939)Memory used [KB]: 949
% 0.56/0.74 % (22939)Time elapsed: 0.002 s
% 0.56/0.74 % (22939)Instructions burned: 2 (million)
% 0.56/0.74 % (22938)Refutation not found, incomplete strategy% (22938)------------------------------
% 0.56/0.74 % (22938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22938)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22938)Memory used [KB]: 962
% 0.56/0.74 % (22938)Time elapsed: 0.002 s
% 0.56/0.74 % (22938)Instructions burned: 2 (million)
% 0.56/0.74 % (22934)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22934)Memory used [KB]: 964
% 0.56/0.74 % (22934)Time elapsed: 0.003 s
% 0.56/0.74 % (22940)Refutation not found, incomplete strategy% (22940)------------------------------
% 0.56/0.74 % (22940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22934)Instructions burned: 2 (million)
% 0.56/0.74 % (22940)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74 % (22937)------------------------------
% 0.56/0.74 % (22937)------------------------------
% 0.56/0.74
% 0.56/0.74 % (22940)Memory used [KB]: 950
% 0.56/0.74 % (22940)Time elapsed: 0.002 s
% 0.56/0.74 % (22940)Instructions burned: 2 (million)
% 0.56/0.74 % (22939)------------------------------
% 0.56/0.74 % (22939)------------------------------
% 0.56/0.74 % (22938)------------------------------
% 0.56/0.74 % (22938)------------------------------
% 0.56/0.74 % (22934)------------------------------
% 0.56/0.74 % (22934)------------------------------
% 0.56/0.74 % (22940)------------------------------
% 0.56/0.74 % (22940)------------------------------
% 0.56/0.74 % (22942)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)
% 0.56/0.74 % (22943)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.74 % (22944)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 (2996ds/208Mi)
% 0.56/0.74 % (22945)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.74 % (22946)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.74 % (22947)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.74 % (22943)Refutation not found, incomplete strategy% (22943)------------------------------
% 0.56/0.74 % (22943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22943)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22943)Memory used [KB]: 948
% 0.56/0.74 % (22943)Time elapsed: 0.002 s
% 0.56/0.74 % (22943)Instructions burned: 2 (million)
% 0.56/0.74 % (22946)Refutation not found, incomplete strategy% (22946)------------------------------
% 0.56/0.74 % (22946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22946)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22943)------------------------------
% 0.56/0.74 % (22943)------------------------------
% 0.56/0.74 % (22946)Memory used [KB]: 949
% 0.56/0.74 % (22946)Time elapsed: 0.003 s
% 0.56/0.74 % (22946)Instructions burned: 2 (million)
% 0.56/0.75 % (22947)Refutation not found, incomplete strategy% (22947)------------------------------
% 0.56/0.75 % (22947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22947)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (22947)Memory used [KB]: 949
% 0.56/0.75 % (22947)Time elapsed: 0.002 s
% 0.56/0.75 % (22947)Instructions burned: 2 (million)
% 0.56/0.75 % (22946)------------------------------
% 0.56/0.75 % (22946)------------------------------
% 0.56/0.75 % (22947)------------------------------
% 0.56/0.75 % (22947)------------------------------
% 0.56/0.75 % (22942)First to succeed.
% 0.56/0.75 % (22942)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22933"
% 0.56/0.75 % (22942)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (22942)------------------------------
% 0.56/0.75 % (22942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22942)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (22942)Memory used [KB]: 1080
% 0.56/0.75 % (22942)Time elapsed: 0.007 s
% 0.56/0.75 % (22942)Instructions burned: 20 (million)
% 0.56/0.75 % (22933)Success in time 0.382 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------