TSTP Solution File: GRP520-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP520-1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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(f203,plain,
    $false,
    inference(trivial_inequality_removal,[],[f202]) ).

fof(f202,plain,
    multiply(a,b) != multiply(a,b),
    inference(superposition,[],[f2,f123]) ).

fof(f123,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[],[f84,f56]) ).

fof(f56,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[],[f32,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/sandbox/tmp/tmp.FkCxllSXzY/Vampire---4.8_7109',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(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(f84,plain,
    ! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
    inference(forward_demodulation,[],[f83,f11]) ).

fof(f83,plain,
    ! [X2,X3,X0] : multiply(X0,multiply(inverse(X0),multiply(multiply(inverse(X2),X3),X2))) = X3,
    inference(forward_demodulation,[],[f57,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(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(f57,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(f2,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/tmp/tmp.FkCxllSXzY/Vampire---4.8_7109',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP520-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:44:10 EDT 2024
% 0.14/0.36  % 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FkCxllSXzY/Vampire---4.8_7109
% 0.57/0.76  % (7370)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)
% 0.57/0.76  % (7370)Refutation not found, incomplete strategy% (7370)------------------------------
% 0.57/0.76  % (7370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7370)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7370)Memory used [KB]: 946
% 0.57/0.76  % (7370)Time elapsed: 0.002 s
% 0.57/0.76  % (7370)Instructions burned: 2 (million)
% 0.57/0.76  % (7370)------------------------------
% 0.57/0.76  % (7370)------------------------------
% 0.57/0.76  % (7364)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)
% 0.57/0.76  % (7366)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (7367)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)
% 0.57/0.76  % (7365)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)
% 0.57/0.76  % (7368)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)
% 0.57/0.76  % (7369)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)
% 0.57/0.76  % (7367)Refutation not found, incomplete strategy% (7367)------------------------------
% 0.57/0.76  % (7367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7367)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7367)Memory used [KB]: 946
% 0.57/0.76  % (7369)Refutation not found, incomplete strategy% (7369)------------------------------
% 0.57/0.76  % (7369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7368)Refutation not found, incomplete strategy% (7368)------------------------------
% 0.57/0.76  % (7368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7369)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7368)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7369)Memory used [KB]: 945
% 0.57/0.76  % (7368)Memory used [KB]: 960
% 0.57/0.76  % (7369)Time elapsed: 0.002 s
% 0.57/0.76  % (7368)Time elapsed: 0.002 s
% 0.57/0.76  % (7369)Instructions burned: 2 (million)
% 0.57/0.76  % (7368)Instructions burned: 2 (million)
% 0.57/0.76  % (7369)------------------------------
% 0.57/0.76  % (7369)------------------------------
% 0.57/0.76  % (7368)------------------------------
% 0.57/0.76  % (7368)------------------------------
% 0.57/0.76  % (7364)Refutation not found, incomplete strategy% (7364)------------------------------
% 0.57/0.76  % (7364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7364)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7364)Memory used [KB]: 961
% 0.57/0.76  % (7364)Time elapsed: 0.002 s
% 0.57/0.76  % (7364)Instructions burned: 2 (million)
% 0.57/0.76  % (7364)------------------------------
% 0.57/0.76  % (7364)------------------------------
% 0.57/0.76  % (7367)Time elapsed: 0.002 s
% 0.57/0.76  % (7367)Instructions burned: 2 (million)
% 0.57/0.76  % (7367)------------------------------
% 0.57/0.76  % (7367)------------------------------
% 0.57/0.76  % (7371)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)
% 0.57/0.76  % (7371)Refutation not found, incomplete strategy% (7371)------------------------------
% 0.57/0.76  % (7371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7371)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7371)Memory used [KB]: 946
% 0.57/0.76  % (7371)Time elapsed: 0.001 s
% 0.57/0.76  % (7371)Instructions burned: 2 (million)
% 0.57/0.76  % (7371)------------------------------
% 0.57/0.76  % (7371)------------------------------
% 0.57/0.76  % (7372)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)
% 0.57/0.76  % (7373)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)
% 0.57/0.76  % (7374)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)
% 0.57/0.76  % (7375)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)
% 0.57/0.76  % (7376)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)
% 0.57/0.76  % (7373)Refutation not found, incomplete strategy% (7373)------------------------------
% 0.57/0.76  % (7373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7373)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7373)Memory used [KB]: 945
% 0.57/0.76  % (7373)Time elapsed: 0.002 s
% 0.57/0.76  % (7376)Refutation not found, incomplete strategy% (7376)------------------------------
% 0.57/0.76  % (7376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7376)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7376)Memory used [KB]: 947
% 0.57/0.76  % (7376)Time elapsed: 0.001 s
% 0.57/0.76  % (7376)Instructions burned: 2 (million)
% 0.57/0.76  % (7376)------------------------------
% 0.57/0.76  % (7376)------------------------------
% 0.57/0.76  % (7373)Instructions burned: 2 (million)
% 0.57/0.76  % (7373)------------------------------
% 0.57/0.76  % (7373)------------------------------
% 0.57/0.76  % (7377)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)
% 0.57/0.76  % (7365)First to succeed.
% 0.57/0.76  % (7377)Refutation not found, incomplete strategy% (7377)------------------------------
% 0.57/0.76  % (7377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7377)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7377)Memory used [KB]: 947
% 0.57/0.76  % (7377)Time elapsed: 0.002 s
% 0.57/0.76  % (7377)Instructions burned: 2 (million)
% 0.57/0.76  % (7377)------------------------------
% 0.57/0.76  % (7377)------------------------------
% 0.57/0.76  % (7365)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (7365)------------------------------
% 0.57/0.76  % (7365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7365)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (7365)Memory used [KB]: 1072
% 0.57/0.76  % (7365)Time elapsed: 0.009 s
% 0.57/0.76  % (7365)Instructions burned: 12 (million)
% 0.57/0.76  % (7365)------------------------------
% 0.57/0.76  % (7365)------------------------------
% 0.57/0.76  % (7360)Success in time 0.392 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------