TSTP Solution File: GRP517-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP517-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 02:30:05 EDT 2024

% Result   : Unsatisfiable 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f656,plain,
    $false,
    inference(subsumption_resolution,[],[f649,f7]) ).

fof(f7,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f2,f6,f5,f4,f3]) ).

fof(f3,plain,
    inverse(a1) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f4,plain,
    multiply(sF0,a1) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f5,plain,
    inverse(b1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f6,plain,
    multiply(sF2,b1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f2,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/tmp/tmp.KFmso4Zgp9/Vampire---4.8_26636',prove_these_axioms_1) ).

fof(f649,plain,
    sF1 = sF3,
    inference(superposition,[],[f480,f6]) ).

fof(f480,plain,
    sF1 = multiply(sF2,b1),
    inference(superposition,[],[f367,f5]) ).

fof(f367,plain,
    ! [X0] : sF1 = multiply(inverse(X0),X0),
    inference(forward_demodulation,[],[f366,f196]) ).

fof(f196,plain,
    ! [X0] : multiply(X0,sF1) = X0,
    inference(superposition,[],[f44,f189]) ).

fof(f189,plain,
    ! [X1] : multiply(inverse(sF1),X1) = X1,
    inference(forward_demodulation,[],[f188,f44]) ).

fof(f188,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(multiply(inverse(X0),X1),X0)) = X1,
    inference(forward_demodulation,[],[f182,f44]) ).

fof(f182,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(sF1),X0),sF1))) = X1,
    inference(superposition,[],[f10,f122]) ).

fof(f122,plain,
    sF1 = multiply(inverse(sF1),sF1),
    inference(forward_demodulation,[],[f118,f4]) ).

fof(f118,plain,
    sF1 = multiply(inverse(sF1),multiply(sF0,a1)),
    inference(superposition,[],[f18,f72]) ).

fof(f72,plain,
    a1 = multiply(sF1,a1),
    inference(superposition,[],[f62,f4]) ).

fof(f62,plain,
    ! [X0] : multiply(multiply(sF0,X0),a1) = X0,
    inference(superposition,[],[f44,f3]) ).

fof(f18,plain,
    ! [X1] : multiply(inverse(sF1),multiply(sF0,multiply(X1,a1))) = X1,
    inference(superposition,[],[f1,f12]) ).

fof(f12,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),X0)),X1),X0) = multiply(sF0,multiply(X1,a1)),
    inference(superposition,[],[f8,f1]) ).

fof(f8,plain,
    ! [X0] : multiply(sF0,multiply(multiply(inverse(sF1),X0),a1)) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.KFmso4Zgp9/Vampire---4.8_26636',single_axiom) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f44,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(superposition,[],[f10,f1]) ).

fof(f366,plain,
    ! [X0] : multiply(sF1,sF1) = multiply(inverse(X0),X0),
    inference(forward_demodulation,[],[f365,f64]) ).

fof(f64,plain,
    ! [X0] : multiply(sF0,multiply(X0,a1)) = multiply(X0,sF1),
    inference(superposition,[],[f44,f18]) ).

fof(f365,plain,
    ! [X0] : multiply(sF0,multiply(sF1,a1)) = multiply(inverse(X0),X0),
    inference(forward_demodulation,[],[f339,f189]) ).

fof(f339,plain,
    ! [X0] : multiply(sF0,multiply(sF1,a1)) = multiply(inverse(multiply(inverse(sF1),X0)),X0),
    inference(superposition,[],[f12,f196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GRP517-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:42:55 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.32  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.KFmso4Zgp9/Vampire---4.8_26636
% 0.61/0.81  % (26750)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)
% 0.61/0.81  % (26749)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)
% 0.61/0.81  % (26748)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (26746)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)
% 0.61/0.81  % (26751)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)
% 0.61/0.81  % (26752)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)
% 0.61/0.81  % (26753)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)
% 0.61/0.81  % (26750)Refutation not found, incomplete strategy% (26750)------------------------------
% 0.61/0.81  % (26750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26750)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  % (26751)Refutation not found, incomplete strategy% (26751)------------------------------
% 0.61/0.81  % (26751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26751)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26751)Memory used [KB]: 947
% 0.61/0.81  % (26751)Time elapsed: 0.002 s
% 0.61/0.81  % (26749)Refutation not found, incomplete strategy% (26749)------------------------------
% 0.61/0.81  % (26749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26751)Instructions burned: 2 (million)
% 0.61/0.81  % (26749)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26751)------------------------------
% 0.61/0.81  % (26751)------------------------------
% 0.61/0.81  % (26749)Memory used [KB]: 948
% 0.61/0.81  % (26749)Time elapsed: 0.002 s
% 0.61/0.81  % (26749)Instructions burned: 2 (million)
% 0.61/0.81  % (26753)Refutation not found, incomplete strategy% (26753)------------------------------
% 0.61/0.81  % (26753)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26749)------------------------------
% 0.61/0.81  % (26749)------------------------------
% 0.61/0.81  % (26753)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26753)Memory used [KB]: 947
% 0.61/0.81  % (26753)Time elapsed: 0.002 s
% 0.61/0.81  % (26753)Instructions burned: 2 (million)
% 0.61/0.81  % (26753)------------------------------
% 0.61/0.81  % (26753)------------------------------
% 0.61/0.81  % (26752)Refutation not found, incomplete strategy% (26752)------------------------------
% 0.61/0.81  % (26752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26752)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26752)Memory used [KB]: 948
% 0.61/0.81  % (26752)Time elapsed: 0.002 s
% 0.61/0.81  % (26752)Instructions burned: 2 (million)
% 0.61/0.81  % (26752)------------------------------
% 0.61/0.81  % (26752)------------------------------
% 0.61/0.81  % (26746)Refutation not found, incomplete strategy% (26746)------------------------------
% 0.61/0.81  % (26746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26746)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26746)Memory used [KB]: 961
% 0.61/0.81  % (26746)Time elapsed: 0.003 s
% 0.61/0.81  % (26746)Instructions burned: 2 (million)
% 0.61/0.81  % (26746)------------------------------
% 0.61/0.81  % (26746)------------------------------
% 0.61/0.81  
% 0.61/0.81  % (26750)Memory used [KB]: 960
% 0.61/0.81  % (26750)Time elapsed: 0.002 s
% 0.61/0.81  % (26750)Instructions burned: 2 (million)
% 0.61/0.81  % (26750)------------------------------
% 0.61/0.81  % (26750)------------------------------
% 0.61/0.81  % (26747)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)
% 0.61/0.82  % (26754)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)
% 0.61/0.82  % (26755)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 (2995ds/50Mi)
% 0.61/0.82  % (26756)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)
% 0.61/0.82  % (26757)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)
% 0.61/0.82  % (26758)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)
% 0.61/0.82  % (26759)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)
% 0.61/0.82  % (26755)Refutation not found, incomplete strategy% (26755)------------------------------
% 0.61/0.82  % (26755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26755)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (26755)Memory used [KB]: 946
% 0.61/0.82  % (26755)Time elapsed: 0.002 s
% 0.61/0.82  % (26755)Instructions burned: 2 (million)
% 0.61/0.82  % (26755)------------------------------
% 0.61/0.82  % (26755)------------------------------
% 0.61/0.82  % (26758)Refutation not found, incomplete strategy% (26758)------------------------------
% 0.61/0.82  % (26758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26758)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (26758)Memory used [KB]: 947
% 0.61/0.82  % (26758)Time elapsed: 0.002 s
% 0.61/0.82  % (26758)Instructions burned: 2 (million)
% 0.61/0.82  % (26758)------------------------------
% 0.61/0.82  % (26758)------------------------------
% 0.61/0.82  % (26759)Refutation not found, incomplete strategy% (26759)------------------------------
% 0.61/0.82  % (26759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26759)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (26759)Memory used [KB]: 947
% 0.61/0.82  % (26759)Time elapsed: 0.002 s
% 0.61/0.82  % (26759)Instructions burned: 2 (million)
% 0.61/0.82  % (26759)------------------------------
% 0.61/0.82  % (26759)------------------------------
% 0.61/0.82  % (26760)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)
% 0.61/0.82  % (26761)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.82  % (26762)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 Vampire---4 for (2995ds/143Mi)
% 0.61/0.82  % (26761)Refutation not found, incomplete strategy% (26761)------------------------------
% 0.61/0.82  % (26761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26761)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (26761)Memory used [KB]: 947
% 0.61/0.82  % (26761)Time elapsed: 0.002 s
% 0.61/0.82  % (26761)Instructions burned: 2 (million)
% 0.61/0.82  % (26761)------------------------------
% 0.61/0.82  % (26761)------------------------------
% 0.61/0.82  % (26762)Refutation not found, incomplete strategy% (26762)------------------------------
% 0.61/0.82  % (26762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26762)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (26762)Memory used [KB]: 962
% 0.61/0.82  % (26762)Time elapsed: 0.002 s
% 0.61/0.82  % (26762)Instructions burned: 2 (million)
% 0.61/0.82  % (26762)------------------------------
% 0.61/0.82  % (26762)------------------------------
% 0.61/0.82  % (26763)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.83  % (26764)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.83  % (26764)Refutation not found, incomplete strategy% (26764)------------------------------
% 0.61/0.83  % (26764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (26764)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (26764)Memory used [KB]: 947
% 0.61/0.83  % (26764)Time elapsed: 0.002 s
% 0.61/0.83  % (26764)Instructions burned: 2 (million)
% 0.61/0.83  % (26764)------------------------------
% 0.61/0.83  % (26764)------------------------------
% 0.61/0.83  % (26765)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.83  % (26756)First to succeed.
% 0.61/0.83  % (26756)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (26756)------------------------------
% 0.61/0.83  % (26756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (26756)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (26756)Memory used [KB]: 1281
% 0.61/0.83  % (26756)Time elapsed: 0.018 s
% 0.61/0.83  % (26756)Instructions burned: 34 (million)
% 0.61/0.83  % (26756)------------------------------
% 0.61/0.83  % (26756)------------------------------
% 0.61/0.83  % (26744)Success in time 0.502 s
% 0.61/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------