TSTP Solution File: GRP518-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP518-1 : 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 : n027.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 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f248,plain,
    $false,
    inference(trivial_inequality_removal,[],[f247]) ).

fof(f247,plain,
    a2 != a2,
    inference(superposition,[],[f244,f85]) ).

fof(f85,plain,
    ! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
    inference(forward_demodulation,[],[f84,f11]) ).

fof(f11,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.PBLXzi1f38/Vampire---4.8_18243',single_axiom) ).

fof(f3,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(f84,plain,
    ! [X2,X3,X0] : multiply(X0,multiply(inverse(X0),multiply(multiply(inverse(X2),X3),X2))) = X3,
    inference(forward_demodulation,[],[f58,f36]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X3,X2)) = multiply(X3,multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),
    inference(forward_demodulation,[],[f35,f32]) ).

fof(f32,plain,
    ! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = multiply(multiply(X2,X0),X3),
    inference(forward_demodulation,[],[f22,f17]) ).

fof(f17,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
    inference(superposition,[],[f11,f1]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),X3) = multiply(X2,multiply(X0,X3)),
    inference(superposition,[],[f21,f1]) ).

fof(f21,plain,
    ! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(inverse(X1),X2),multiply(X1,X0)),
    inference(forward_demodulation,[],[f18,f17]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(inverse(X0),X3)),X1),X3)) = multiply(X2,X0),
    inference(superposition,[],[f11,f3]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = multiply(inverse(X0),multiply(X3,X2)),
    inference(forward_demodulation,[],[f24,f32]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = multiply(multiply(inverse(X0),X3),X2),
    inference(superposition,[],[f21,f1]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(inverse(multiply(X0,X1)),multiply(X2,X1)))) = X3,
    inference(superposition,[],[f3,f32]) ).

fof(f244,plain,
    a2 != multiply(b2,multiply(inverse(b2),a2)),
    inference(superposition,[],[f186,f32]) ).

fof(f186,plain,
    a2 != multiply(multiply(b2,inverse(b2)),a2),
    inference(superposition,[],[f2,f124]) ).

fof(f124,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[],[f85,f56]) ).

fof(f56,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[],[f32,f11]) ).

fof(f2,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/tmp/tmp.PBLXzi1f38/Vampire---4.8_18243',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 18:56:33 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  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.PBLXzi1f38/Vampire---4.8_18243
% 0.61/0.78  % (18461)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)
% 0.61/0.78  % (18466)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)
% 0.61/0.78  % (18466)Refutation not found, incomplete strategy% (18466)------------------------------
% 0.61/0.78  % (18466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (18466)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (18466)Memory used [KB]: 947
% 0.61/0.78  % (18466)Time elapsed: 0.003 s
% 0.61/0.78  % (18466)Instructions burned: 2 (million)
% 0.61/0.78  % (18466)------------------------------
% 0.61/0.78  % (18466)------------------------------
% 0.61/0.79  % (18460)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)
% 0.61/0.79  % (18462)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (18463)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)
% 0.61/0.79  % (18464)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)
% 0.61/0.79  % (18465)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)
% 0.61/0.79  % (18467)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)
% 0.61/0.79  % (18463)Refutation not found, incomplete strategy% (18463)------------------------------
% 0.61/0.79  % (18463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18467)Refutation not found, incomplete strategy% (18467)------------------------------
% 0.61/0.79  % (18467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18467)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (18465)Refutation not found, incomplete strategy% (18465)------------------------------
% 0.61/0.79  % (18465)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18467)Memory used [KB]: 947
% 0.61/0.79  % (18465)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (18467)Time elapsed: 0.004 s
% 0.61/0.79  % (18465)Memory used [KB]: 947
% 0.61/0.79  % (18467)Instructions burned: 2 (million)
% 0.61/0.79  % (18465)Time elapsed: 0.004 s
% 0.61/0.79  % (18467)------------------------------
% 0.61/0.79  % (18467)------------------------------
% 0.61/0.79  % (18465)Instructions burned: 2 (million)
% 0.61/0.79  % (18465)------------------------------
% 0.61/0.79  % (18465)------------------------------
% 0.61/0.79  % (18464)Refutation not found, incomplete strategy% (18464)------------------------------
% 0.61/0.79  % (18464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18464)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (18464)Memory used [KB]: 960
% 0.61/0.79  % (18464)Time elapsed: 0.004 s
% 0.61/0.79  % (18464)Instructions burned: 2 (million)
% 0.61/0.79  % (18460)Refutation not found, incomplete strategy% (18460)------------------------------
% 0.61/0.79  % (18460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18464)------------------------------
% 0.61/0.79  % (18464)------------------------------
% 0.61/0.79  % (18460)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (18460)Memory used [KB]: 961
% 0.61/0.79  % (18460)Time elapsed: 0.003 s
% 0.61/0.79  % (18460)Instructions burned: 2 (million)
% 0.61/0.79  % (18460)------------------------------
% 0.61/0.79  % (18460)------------------------------
% 0.61/0.79  % (18463)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (18463)Memory used [KB]: 948
% 0.61/0.79  % (18463)Time elapsed: 0.004 s
% 0.61/0.79  % (18463)Instructions burned: 2 (million)
% 0.61/0.79  % (18463)------------------------------
% 0.61/0.79  % (18463)------------------------------
% 0.61/0.79  % (18470)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)
% 0.61/0.79  % (18461)First to succeed.
% 0.61/0.79  % (18461)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79  % (18461)------------------------------
% 0.61/0.79  % (18461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (18461)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (18461)Memory used [KB]: 1070
% 0.61/0.79  % (18461)Time elapsed: 0.009 s
% 0.61/0.79  % (18461)Instructions burned: 14 (million)
% 0.61/0.79  % (18461)------------------------------
% 0.61/0.79  % (18461)------------------------------
% 0.61/0.79  % (18423)Success in time 0.43 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------