TSTP Solution File: GRP548-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP548-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 : Mon May 20 21:10:10 EDT 2024

% Result   : Unsatisfiable 0.64s 0.84s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(subsumption_resolution,[],[f180,f7]) ).

fof(f7,plain,
    ~ sP0(divide(a,divide(identity,b))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f180,plain,
    sP0(divide(a,divide(identity,b))),
    inference(backward_demodulation,[],[f8,f173]) ).

fof(f173,plain,
    ! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
    inference(superposition,[],[f68,f133]) ).

fof(f133,plain,
    ! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
    inference(superposition,[],[f66,f68]) ).

fof(f66,plain,
    ! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(X1,X2),X0)) = X2,
    inference(backward_demodulation,[],[f1,f57]) ).

fof(f57,plain,
    ! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[],[f32,f29]) ).

fof(f29,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(backward_demodulation,[],[f20,f21]) ).

fof(f21,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(superposition,[],[f15,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f15,plain,
    ! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
    inference(forward_demodulation,[],[f9,f4]) ).

fof(f9,plain,
    ! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f20,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
    inference(superposition,[],[f1,f16]) ).

fof(f16,plain,
    ! [X1] : divide(X1,identity) = X1,
    inference(forward_demodulation,[],[f14,f15]) ).

fof(f14,plain,
    ! [X0,X1] : divide(divide(identity,divide(divide(X0,X1),X0)),identity) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f32,plain,
    ! [X0,X1] : divide(identity,X1) = divide(divide(X0,X1),X0),
    inference(forward_demodulation,[],[f24,f16]) ).

fof(f24,plain,
    ! [X0,X1] : divide(divide(X0,X1),X0) = divide(identity,divide(X1,identity)),
    inference(superposition,[],[f15,f15]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f68,plain,
    ! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
    inference(backward_demodulation,[],[f11,f57]) ).

fof(f11,plain,
    ! [X0,X1] : divide(divide(identity,divide(X1,X0)),divide(identity,X1)) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f8,plain,
    sP0(divide(b,divide(identity,a))),
    inference(inequality_splitting,[],[f6,f7]) ).

fof(f6,plain,
    divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
    inference(definition_unfolding,[],[f5,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP548-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.10/0.13  % 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
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 05:56:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.64/0.83  % (14785)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 theBenchmark for (2995ds/34Mi)
% 0.64/0.83  % (14786)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.64/0.83  % (14782)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 theBenchmark for (2995ds/51Mi)
% 0.64/0.83  % (14781)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 theBenchmark for (2995ds/34Mi)
% 0.64/0.83  % (14784)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.64/0.83  % (14783)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.64/0.83  % (14787)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 theBenchmark for (2995ds/83Mi)
% 0.64/0.83  % (14788)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.64/0.83  % (14784)Refutation not found, incomplete strategy% (14784)------------------------------
% 0.64/0.83  % (14784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14785)Refutation not found, incomplete strategy% (14785)------------------------------
% 0.64/0.83  % (14785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14784)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  % (14785)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  
% 0.64/0.83  % (14784)Memory used [KB]: 947
% 0.64/0.83  % (14785)Memory used [KB]: 962
% 0.64/0.83  % (14784)Time elapsed: 0.003 s
% 0.64/0.83  % (14785)Time elapsed: 0.003 s
% 0.64/0.83  % (14784)Instructions burned: 2 (million)
% 0.64/0.83  % (14785)Instructions burned: 2 (million)
% 0.64/0.83  % (14781)Refutation not found, incomplete strategy% (14781)------------------------------
% 0.64/0.83  % (14781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14781)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  % (14787)Refutation not found, incomplete strategy% (14787)------------------------------
% 0.64/0.83  % (14787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14787)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14787)Memory used [KB]: 950
% 0.64/0.83  % (14787)Time elapsed: 0.003 s
% 0.64/0.83  % (14787)Instructions burned: 2 (million)
% 0.64/0.83  % (14786)Refutation not found, incomplete strategy% (14786)------------------------------
% 0.64/0.83  % (14786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14786)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14786)Memory used [KB]: 951
% 0.64/0.83  % (14786)Time elapsed: 0.003 s
% 0.64/0.83  % (14786)Instructions burned: 2 (million)
% 0.64/0.83  
% 0.64/0.83  % (14781)Memory used [KB]: 963
% 0.64/0.83  % (14781)Time elapsed: 0.003 s
% 0.64/0.83  % (14781)Instructions burned: 2 (million)
% 0.64/0.83  % (14784)------------------------------
% 0.64/0.83  % (14784)------------------------------
% 0.64/0.83  % (14785)------------------------------
% 0.64/0.83  % (14785)------------------------------
% 0.64/0.83  % (14787)------------------------------
% 0.64/0.83  % (14787)------------------------------
% 0.64/0.83  % (14786)------------------------------
% 0.64/0.83  % (14786)------------------------------
% 0.64/0.83  % (14781)------------------------------
% 0.64/0.83  % (14781)------------------------------
% 0.64/0.83  % (14788)Refutation not found, incomplete strategy% (14788)------------------------------
% 0.64/0.83  % (14788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14788)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14788)Memory used [KB]: 948
% 0.64/0.83  % (14788)Time elapsed: 0.004 s
% 0.64/0.83  % (14788)Instructions burned: 2 (million)
% 0.64/0.83  % (14788)------------------------------
% 0.64/0.83  % (14788)------------------------------
% 0.64/0.83  % (14791)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.64/0.83  % (14789)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 theBenchmark for (2995ds/55Mi)
% 0.64/0.83  % (14793)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 theBenchmark for (2995ds/518Mi)
% 0.64/0.83  % (14790)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 theBenchmark for (2995ds/50Mi)
% 0.64/0.83  % (14792)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 theBenchmark for (2995ds/52Mi)
% 0.64/0.83  % (14790)Refutation not found, incomplete strategy% (14790)------------------------------
% 0.64/0.83  % (14790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14794)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 theBenchmark for (2995ds/42Mi)
% 0.64/0.83  % (14790)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14790)Memory used [KB]: 948
% 0.64/0.83  % (14790)Time elapsed: 0.003 s
% 0.64/0.83  % (14790)Instructions burned: 2 (million)
% 0.64/0.83  % (14793)Refutation not found, incomplete strategy% (14793)------------------------------
% 0.64/0.83  % (14793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14793)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14793)Memory used [KB]: 951
% 0.64/0.83  % (14793)Time elapsed: 0.003 s
% 0.64/0.83  % (14793)Instructions burned: 2 (million)
% 0.64/0.83  % (14790)------------------------------
% 0.64/0.83  % (14790)------------------------------
% 0.64/0.83  % (14793)------------------------------
% 0.64/0.83  % (14793)------------------------------
% 0.64/0.83  % (14794)Refutation not found, incomplete strategy% (14794)------------------------------
% 0.64/0.83  % (14794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (14794)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (14794)Memory used [KB]: 949
% 0.64/0.83  % (14794)Time elapsed: 0.002 s
% 0.64/0.83  % (14794)Instructions burned: 2 (million)
% 0.64/0.83  % (14794)------------------------------
% 0.64/0.83  % (14794)------------------------------
% 0.64/0.84  % (14795)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 theBenchmark for (2995ds/243Mi)
% 0.64/0.84  % (14796)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.64/0.84  % (14797)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.64/0.84  % (14796)Refutation not found, incomplete strategy% (14796)------------------------------
% 0.64/0.84  % (14796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (14796)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (14796)Memory used [KB]: 949
% 0.64/0.84  % (14796)Time elapsed: 0.003 s
% 0.64/0.84  % (14796)Instructions burned: 2 (million)
% 0.64/0.84  % (14797)Refutation not found, incomplete strategy% (14797)------------------------------
% 0.64/0.84  % (14797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (14797)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (14797)Memory used [KB]: 964
% 0.64/0.84  % (14797)Time elapsed: 0.003 s
% 0.64/0.84  % (14797)Instructions burned: 2 (million)
% 0.64/0.84  % (14796)------------------------------
% 0.64/0.84  % (14796)------------------------------
% 0.64/0.84  % (14797)------------------------------
% 0.64/0.84  % (14797)------------------------------
% 0.64/0.84  % (14791)Also succeeded, but the first one will report.
% 0.64/0.84  % (14789)First to succeed.
% 0.64/0.84  % (14789)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14780"
% 0.64/0.84  % (14789)Refutation found. Thanks to Tanya!
% 0.64/0.84  % SZS status Unsatisfiable for theBenchmark
% 0.64/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.84  % (14789)------------------------------
% 0.64/0.84  % (14789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (14789)Termination reason: Refutation
% 0.64/0.84  
% 0.64/0.84  % (14789)Memory used [KB]: 1064
% 0.64/0.84  % (14789)Time elapsed: 0.009 s
% 0.64/0.84  % (14789)Instructions burned: 12 (million)
% 0.64/0.84  % (14780)Success in time 0.49 s
% 0.64/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------