TSTP Solution File: GRP488-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n018.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 02:29:38 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(subsumption_resolution,[],[f114,f9]) ).
fof(f9,plain,
sP0(a2),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f8,plain,
~ sP0(double_divide(double_divide(a2,identity),identity)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.vKLpOSVB4O/Vampire---4.8_12450',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/tmp/tmp.vKLpOSVB4O/Vampire---4.8_12450',prove_these_axioms_2) ).
fof(f114,plain,
~ sP0(a2),
inference(backward_demodulation,[],[f8,f111]) ).
fof(f111,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f106,f71]) ).
fof(f71,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f47,f64]) ).
fof(f64,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f57,f14]) ).
fof(f14,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f12,f6]) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/tmp/tmp.vKLpOSVB4O/Vampire---4.8_12450',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.vKLpOSVB4O/Vampire---4.8_12450',identity) ).
fof(f12,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.vKLpOSVB4O/Vampire---4.8_12450',single_axiom) ).
fof(f57,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f47,f35]) ).
fof(f35,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f20,f6]) ).
fof(f20,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f18,f10]) ).
fof(f10,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)),
inference(superposition,[],[f1,f6]) ).
fof(f18,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),
inference(superposition,[],[f1,f12]) ).
fof(f47,plain,
! [X1] : double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f43,f46]) ).
fof(f46,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity),
inference(forward_demodulation,[],[f36,f35]) ).
fof(f36,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X0,X1))),X0),identity),
inference(superposition,[],[f20,f1]) ).
fof(f43,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(backward_demodulation,[],[f27,f35]) ).
fof(f27,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,identity),identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(superposition,[],[f1,f25]) ).
fof(f25,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(forward_demodulation,[],[f24,f10]) ).
fof(f24,plain,
! [X0] : double_divide(double_divide(double_divide(identity,identity),identity),identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity),identity)),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
identity = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),identity)),
inference(superposition,[],[f1,f14]) ).
fof(f106,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f71,f102]) ).
fof(f102,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(forward_demodulation,[],[f101,f73]) ).
fof(f73,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(backward_demodulation,[],[f10,f71]) ).
fof(f101,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(forward_demodulation,[],[f95,f71]) ).
fof(f95,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(superposition,[],[f1,f72]) ).
fof(f72,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),
inference(backward_demodulation,[],[f66,f71]) ).
fof(f66,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity),identity)),
inference(backward_demodulation,[],[f23,f64]) ).
fof(f23,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)),identity)),
inference(superposition,[],[f1,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % 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
% 0.16/0.36 % Computer : n018.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 : Tue Apr 30 18:36:14 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 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.vKLpOSVB4O/Vampire---4.8_12450
% 0.61/0.77 % (12668)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)
% 0.61/0.77 % (12670)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)
% 0.61/0.77 % (12670)Refutation not found, incomplete strategy% (12670)------------------------------
% 0.61/0.77 % (12670)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12670)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12670)Memory used [KB]: 948
% 0.61/0.77 % (12670)Time elapsed: 0.001 s
% 0.61/0.77 % (12670)Instructions burned: 2 (million)
% 0.61/0.77 % (12668)Refutation not found, incomplete strategy% (12668)------------------------------
% 0.61/0.77 % (12668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12668)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12668)Memory used [KB]: 948
% 0.61/0.77 % (12668)Time elapsed: 0.002 s
% 0.61/0.77 % (12668)Instructions burned: 2 (million)
% 0.61/0.77 % (12668)------------------------------
% 0.61/0.77 % (12668)------------------------------
% 0.61/0.77 % (12670)------------------------------
% 0.61/0.77 % (12670)------------------------------
% 0.61/0.77 % (12663)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)
% 0.61/0.77 % (12665)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (12664)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)
% 0.61/0.77 % (12666)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)
% 0.61/0.77 % (12667)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)
% 0.61/0.77 % (12669)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)
% 0.61/0.77 % (12666)Refutation not found, incomplete strategy% (12666)------------------------------
% 0.61/0.77 % (12666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12666)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12666)Memory used [KB]: 947
% 0.61/0.77 % (12666)Time elapsed: 0.002 s
% 0.61/0.77 % (12666)Instructions burned: 2 (million)
% 0.61/0.77 % (12667)Refutation not found, incomplete strategy% (12667)------------------------------
% 0.61/0.77 % (12667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12667)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12667)Memory used [KB]: 961
% 0.61/0.77 % (12667)Time elapsed: 0.002 s
% 0.61/0.77 % (12663)Refutation not found, incomplete strategy% (12663)------------------------------
% 0.61/0.77 % (12663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12667)Instructions burned: 2 (million)
% 0.61/0.77 % (12667)------------------------------
% 0.61/0.77 % (12667)------------------------------
% 0.61/0.77 % (12663)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12663)Memory used [KB]: 963
% 0.61/0.77 % (12663)Time elapsed: 0.002 s
% 0.61/0.77 % (12663)Instructions burned: 2 (million)
% 0.61/0.77 % (12663)------------------------------
% 0.61/0.77 % (12663)------------------------------
% 0.61/0.77 % (12666)------------------------------
% 0.61/0.77 % (12666)------------------------------
% 0.61/0.77 % (12669)Refutation not found, incomplete strategy% (12669)------------------------------
% 0.61/0.77 % (12669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12669)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12669)Memory used [KB]: 948
% 0.61/0.77 % (12669)Time elapsed: 0.002 s
% 0.61/0.77 % (12669)Instructions burned: 2 (million)
% 0.61/0.77 % (12669)------------------------------
% 0.61/0.77 % (12669)------------------------------
% 0.61/0.77 % (12671)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)
% 0.61/0.77 % (12672)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)
% 0.61/0.77 % (12672)Refutation not found, incomplete strategy% (12672)------------------------------
% 0.61/0.77 % (12672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12672)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12672)Memory used [KB]: 947
% 0.61/0.77 % (12672)Time elapsed: 0.001 s
% 0.61/0.77 % (12672)Instructions burned: 2 (million)
% 0.61/0.77 % (12672)------------------------------
% 0.61/0.77 % (12672)------------------------------
% 0.61/0.78 % (12673)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)
% 0.61/0.78 % (12674)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 (2995ds/52Mi)
% 0.61/0.78 % (12671)First to succeed.
% 0.61/0.78 % (12675)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 (2995ds/518Mi)
% 0.61/0.78 % (12677)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.78 % (12676)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 (2995ds/42Mi)
% 0.61/0.78 % (12671)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (12671)------------------------------
% 0.61/0.78 % (12671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (12671)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (12671)Memory used [KB]: 1056
% 0.61/0.78 % (12671)Time elapsed: 0.004 s
% 0.61/0.78 % (12671)Instructions burned: 10 (million)
% 0.61/0.78 % (12671)------------------------------
% 0.61/0.78 % (12671)------------------------------
% 0.61/0.78 % (12640)Success in time 0.405 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------