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 : 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 05:48:57 EDT 2024

% Result   : Unsatisfiable 0.61s 0.78s
% 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.AKtduQKU6o/Vampire---4.8_31499',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.AKtduQKU6o/Vampire---4.8_31499',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
% 0.03/0.13  % Problem    : GRP517-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:45:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37  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.AKtduQKU6o/Vampire---4.8_31499
% 0.61/0.76  % (31764)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)
% 0.61/0.76  % (31758)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)
% 0.61/0.76  % (31760)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (31759)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)
% 0.61/0.76  % (31762)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)
% 0.61/0.76  % (31763)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)
% 0.61/0.76  % (31761)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)
% 0.61/0.76  % (31763)Refutation not found, incomplete strategy% (31763)------------------------------
% 0.61/0.76  % (31763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31764)Refutation not found, incomplete strategy% (31764)------------------------------
% 0.61/0.76  % (31764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31763)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31764)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (31763)Memory used [KB]: 948
% 0.61/0.76  
% 0.61/0.76  % (31763)Time elapsed: 0.002 s
% 0.61/0.76  % (31764)Memory used [KB]: 948
% 0.61/0.76  % (31763)Instructions burned: 2 (million)
% 0.61/0.76  % (31764)Time elapsed: 0.003 s
% 0.61/0.76  % (31764)Instructions burned: 2 (million)
% 0.61/0.76  % (31762)Refutation not found, incomplete strategy% (31762)------------------------------
% 0.61/0.76  % (31762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31762)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31758)Refutation not found, incomplete strategy% (31758)------------------------------
% 0.61/0.76  % (31758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31758)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31758)Memory used [KB]: 961
% 0.61/0.76  % (31758)Time elapsed: 0.002 s
% 0.61/0.76  % (31758)Instructions burned: 2 (million)
% 0.61/0.76  % (31765)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)
% 0.61/0.76  % (31762)Memory used [KB]: 961
% 0.61/0.76  % (31763)------------------------------
% 0.61/0.76  % (31763)------------------------------
% 0.61/0.76  % (31762)Time elapsed: 0.002 s
% 0.61/0.76  % (31762)Instructions burned: 2 (million)
% 0.61/0.76  % (31764)------------------------------
% 0.61/0.76  % (31764)------------------------------
% 0.61/0.76  % (31761)Refutation not found, incomplete strategy% (31761)------------------------------
% 0.61/0.76  % (31761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31758)------------------------------
% 0.61/0.76  % (31758)------------------------------
% 0.61/0.76  % (31762)------------------------------
% 0.61/0.76  % (31762)------------------------------
% 0.61/0.76  % (31761)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31761)Memory used [KB]: 948
% 0.61/0.76  % (31761)Time elapsed: 0.003 s
% 0.61/0.76  % (31761)Instructions burned: 2 (million)
% 0.61/0.76  % (31765)Refutation not found, incomplete strategy% (31765)------------------------------
% 0.61/0.76  % (31765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31765)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31765)Memory used [KB]: 947
% 0.61/0.76  % (31765)Time elapsed: 0.003 s
% 0.61/0.76  % (31765)Instructions burned: 2 (million)
% 0.61/0.76  % (31761)------------------------------
% 0.61/0.76  % (31761)------------------------------
% 0.61/0.76  % (31765)------------------------------
% 0.61/0.76  % (31765)------------------------------
% 0.61/0.76  % (31769)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)
% 0.61/0.76  % (31766)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)
% 0.61/0.76  % (31768)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)
% 0.61/0.76  % (31770)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)
% 0.61/0.76  % (31771)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)
% 0.61/0.76  % (31770)Refutation not found, incomplete strategy% (31770)------------------------------
% 0.61/0.76  % (31770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31770)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31770)Memory used [KB]: 948
% 0.61/0.76  % (31770)Time elapsed: 0.003 s
% 0.61/0.76  % (31770)Instructions burned: 2 (million)
% 0.61/0.76  % (31771)Refutation not found, incomplete strategy% (31771)------------------------------
% 0.61/0.76  % (31771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31771)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31771)Memory used [KB]: 948
% 0.61/0.76  % (31771)Time elapsed: 0.003 s
% 0.61/0.76  % (31771)Instructions burned: 2 (million)
% 0.61/0.76  % (31770)------------------------------
% 0.61/0.76  % (31770)------------------------------
% 0.61/0.76  % (31767)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)
% 0.61/0.76  % (31771)------------------------------
% 0.61/0.76  % (31771)------------------------------
% 0.61/0.76  % (31767)Refutation not found, incomplete strategy% (31767)------------------------------
% 0.61/0.76  % (31767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31767)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (31767)Memory used [KB]: 946
% 0.61/0.76  % (31767)Time elapsed: 0.002 s
% 0.61/0.76  % (31767)Instructions burned: 2 (million)
% 0.61/0.76  % (31767)------------------------------
% 0.61/0.76  % (31767)------------------------------
% 0.61/0.77  % (31772)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 (2996ds/243Mi)
% 0.61/0.77  % (31773)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 (2996ds/117Mi)
% 0.61/0.77  % (31773)Refutation not found, incomplete strategy% (31773)------------------------------
% 0.61/0.77  % (31773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (31773)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (31773)Memory used [KB]: 947
% 0.61/0.77  % (31773)Time elapsed: 0.003 s
% 0.61/0.77  % (31773)Instructions burned: 2 (million)
% 0.61/0.77  % (31773)------------------------------
% 0.61/0.77  % (31773)------------------------------
% 0.61/0.77  % (31774)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 (2996ds/143Mi)
% 0.61/0.77  % (31774)Refutation not found, incomplete strategy% (31774)------------------------------
% 0.61/0.77  % (31774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (31774)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (31774)Memory used [KB]: 962
% 0.61/0.77  % (31774)Time elapsed: 0.003 s
% 0.61/0.77  % (31774)Instructions burned: 2 (million)
% 0.61/0.77  % (31774)------------------------------
% 0.61/0.77  % (31774)------------------------------
% 0.61/0.77  % (31775)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 (2996ds/93Mi)
% 0.61/0.78  % (31776)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 (2996ds/62Mi)
% 0.61/0.78  % (31776)Refutation not found, incomplete strategy% (31776)------------------------------
% 0.61/0.78  % (31776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (31776)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (31776)Memory used [KB]: 947
% 0.61/0.78  % (31776)Time elapsed: 0.003 s
% 0.61/0.78  % (31776)Instructions burned: 2 (million)
% 0.61/0.78  % (31776)------------------------------
% 0.61/0.78  % (31776)------------------------------
% 0.61/0.78  % (31769)Instruction limit reached!
% 0.61/0.78  % (31769)------------------------------
% 0.61/0.78  % (31769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (31769)Termination reason: Unknown
% 0.61/0.78  % (31769)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (31769)Memory used [KB]: 1497
% 0.61/0.78  % (31769)Time elapsed: 0.019 s
% 0.61/0.78  % (31769)Instructions burned: 54 (million)
% 0.61/0.78  % (31769)------------------------------
% 0.61/0.78  % (31769)------------------------------
% 0.61/0.78  % (31768)First to succeed.
% 0.61/0.78  % (31778)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.78  % (31768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31754"
% 0.61/0.78  % (31768)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  % (31768)------------------------------
% 0.61/0.78  % (31768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (31768)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (31768)Memory used [KB]: 1281
% 0.61/0.78  % (31768)Time elapsed: 0.021 s
% 0.61/0.78  % (31768)Instructions burned: 34 (million)
% 0.61/0.78  % (31754)Success in time 0.406 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------