TSTP Solution File: GRP598-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP598-1 : 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 : n012.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 05:49:13 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f220,plain,
    $false,
    inference(trivial_inequality_removal,[],[f201]) ).

fof(f201,plain,
    a2 != a2,
    inference(superposition,[],[f138,f170]) ).

fof(f170,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f76,f44]) ).

fof(f44,plain,
    ! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(X0,inverse(X0)))) = X1,
    inference(superposition,[],[f31,f27]) ).

fof(f27,plain,
    ! [X3,X0] : double_divide(X3,inverse(double_divide(inverse(X0),inverse(X3)))) = X0,
    inference(forward_demodulation,[],[f19,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
    file('/export/starexec/sandbox/tmp/tmp.O1HnDw9zHP/Vampire---4.8_6357',single_axiom) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))))),inverse(X3)))) = X0,
    inference(superposition,[],[f5,f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X3),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))))))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f31,plain,
    ! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
    inference(superposition,[],[f1,f27]) ).

fof(f76,plain,
    ! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
    inference(forward_demodulation,[],[f70,f44]) ).

fof(f70,plain,
    ! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))))) = X2,
    inference(superposition,[],[f1,f44]) ).

fof(f138,plain,
    a2 != inverse(inverse(a2)),
    inference(forward_demodulation,[],[f108,f84]) ).

fof(f84,plain,
    ! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(X1,inverse(X1)))),
    inference(superposition,[],[f73,f44]) ).

fof(f73,plain,
    ! [X2,X0] : double_divide(double_divide(X2,inverse(X0)),inverse(X0)) = X2,
    inference(forward_demodulation,[],[f66,f44]) ).

fof(f66,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))),inverse(X0)),inverse(X0)) = X2,
    inference(superposition,[],[f6,f44]) ).

fof(f6,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f108,plain,
    ! [X0] : a2 != inverse(double_divide(a2,inverse(double_divide(X0,inverse(X0))))),
    inference(superposition,[],[f4,f79]) ).

fof(f79,plain,
    ! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
    inference(superposition,[],[f73,f31]) ).

fof(f4,plain,
    a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.O1HnDw9zHP/Vampire---4.8_6357',multiply) ).

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/tmp/tmp.O1HnDw9zHP/Vampire---4.8_6357',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n012.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 20:52:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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.O1HnDw9zHP/Vampire---4.8_6357
% 0.56/0.75  % (6747)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)
% 0.56/0.75  % (6747)Refutation not found, incomplete strategy% (6747)------------------------------
% 0.56/0.75  % (6747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6747)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6747)Memory used [KB]: 948
% 0.56/0.75  % (6747)Time elapsed: 0.001 s
% 0.56/0.75  % (6747)Instructions burned: 2 (million)
% 0.56/0.75  % (6747)------------------------------
% 0.56/0.75  % (6747)------------------------------
% 0.56/0.75  % (6740)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)
% 0.56/0.75  % (6743)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)
% 0.56/0.75  % (6741)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)
% 0.56/0.75  % (6744)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)
% 0.56/0.75  % (6745)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)
% 0.56/0.75  % (6742)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (6746)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)
% 0.56/0.75  % (6743)Refutation not found, incomplete strategy% (6743)------------------------------
% 0.56/0.75  % (6743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6743)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6743)Memory used [KB]: 947
% 0.56/0.75  % (6743)Time elapsed: 0.002 s
% 0.56/0.75  % (6740)Refutation not found, incomplete strategy% (6740)------------------------------
% 0.56/0.75  % (6740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6740)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6740)Memory used [KB]: 962
% 0.56/0.75  % (6740)Time elapsed: 0.002 s
% 0.56/0.75  % (6740)Instructions burned: 2 (million)
% 0.56/0.75  % (6744)Refutation not found, incomplete strategy% (6744)------------------------------
% 0.56/0.75  % (6744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6744)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6744)Memory used [KB]: 961
% 0.56/0.75  % (6744)Time elapsed: 0.002 s
% 0.56/0.75  % (6744)Instructions burned: 2 (million)
% 0.56/0.75  % (6743)Instructions burned: 2 (million)
% 0.56/0.75  % (6745)Refutation not found, incomplete strategy% (6745)------------------------------
% 0.56/0.75  % (6745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6745)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6745)Memory used [KB]: 949
% 0.56/0.75  % (6745)Time elapsed: 0.002 s
% 0.56/0.75  % (6745)Instructions burned: 2 (million)
% 0.56/0.75  % (6746)Refutation not found, incomplete strategy% (6746)------------------------------
% 0.56/0.75  % (6746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6740)------------------------------
% 0.56/0.75  % (6740)------------------------------
% 0.56/0.75  % (6746)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6746)Memory used [KB]: 949
% 0.56/0.75  % (6746)Time elapsed: 0.002 s
% 0.56/0.75  % (6746)Instructions burned: 2 (million)
% 0.56/0.75  % (6744)------------------------------
% 0.56/0.75  % (6744)------------------------------
% 0.56/0.75  % (6745)------------------------------
% 0.56/0.75  % (6745)------------------------------
% 0.56/0.75  % (6743)------------------------------
% 0.56/0.75  % (6743)------------------------------
% 0.56/0.75  % (6746)------------------------------
% 0.56/0.75  % (6746)------------------------------
% 0.56/0.75  % (6748)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)
% 0.56/0.75  % (6750)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)
% 0.56/0.75  % (6749)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)
% 0.56/0.75  % (6751)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)
% 0.56/0.75  % (6752)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)
% 0.56/0.75  % (6753)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)
% 0.56/0.75  % (6749)Refutation not found, incomplete strategy% (6749)------------------------------
% 0.56/0.75  % (6749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6749)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6749)Memory used [KB]: 948
% 0.56/0.75  % (6749)Time elapsed: 0.002 s
% 0.56/0.75  % (6749)Instructions burned: 2 (million)
% 0.56/0.75  % (6752)Refutation not found, incomplete strategy% (6752)------------------------------
% 0.56/0.75  % (6752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6752)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6749)------------------------------
% 0.56/0.75  % (6749)------------------------------
% 0.56/0.75  % (6752)Memory used [KB]: 949
% 0.56/0.75  % (6752)Time elapsed: 0.003 s
% 0.56/0.75  % (6752)Instructions burned: 2 (million)
% 0.56/0.75  % (6753)Refutation not found, incomplete strategy% (6753)------------------------------
% 0.56/0.75  % (6753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6753)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (6753)Memory used [KB]: 945
% 0.56/0.75  % (6753)Time elapsed: 0.002 s
% 0.56/0.75  % (6753)Instructions burned: 2 (million)
% 0.56/0.75  % (6753)------------------------------
% 0.56/0.75  % (6753)------------------------------
% 0.56/0.75  % (6752)------------------------------
% 0.56/0.75  % (6752)------------------------------
% 0.56/0.76  % (6741)First to succeed.
% 0.56/0.76  % (6741)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6608"
% 0.56/0.76  % (6741)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (6741)------------------------------
% 0.56/0.76  % (6741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (6741)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (6741)Memory used [KB]: 1151
% 0.56/0.76  % (6741)Time elapsed: 0.011 s
% 0.56/0.76  % (6741)Instructions burned: 16 (million)
% 0.56/0.76  % (6608)Success in time 0.39 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------