TSTP Solution File: GRP012-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP012-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 05:44:15 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(trivial_inequality_removal,[],[f309]) ).

fof(f309,plain,
    inverse(multiply(a,b)) != inverse(multiply(a,b)),
    inference(superposition,[],[f6,f115]) ).

fof(f115,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f25,f95]) ).

fof(f95,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f73,f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(X0,identity) = X0,
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',right_identity) ).

fof(f73,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(X0,X1))) = multiply(inverse(X0),identity),
    inference(superposition,[],[f25,f19]) ).

fof(f19,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',right_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',associativity) ).

fof(f25,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f17,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',left_identity) ).

fof(f17,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',left_inverse) ).

fof(f6,axiom,
    inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
    file('/export/starexec/sandbox/tmp/tmp.dYG8930efW/Vampire---4.8_2621',prove_inverse_of_product_is_product_of_inverses) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : GRP012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13  % 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
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 20:55:08 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35  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.dYG8930efW/Vampire---4.8_2621
% 0.57/0.75  % (2729)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)
% 0.57/0.75  % (2732)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)
% 0.57/0.75  % (2731)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (2733)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)
% 0.57/0.75  % (2734)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)
% 0.57/0.75  % (2730)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)
% 0.57/0.75  % (2735)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)
% 0.57/0.75  % (2736)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)
% 0.57/0.75  % (2729)Refutation not found, incomplete strategy% (2729)------------------------------
% 0.57/0.75  % (2729)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2729)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2729)Memory used [KB]: 972
% 0.57/0.75  % (2729)Time elapsed: 0.002 s
% 0.57/0.75  % (2733)Refutation not found, incomplete strategy% (2733)------------------------------
% 0.57/0.75  % (2733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2733)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2733)Memory used [KB]: 971
% 0.57/0.75  % (2733)Time elapsed: 0.002 s
% 0.57/0.75  % (2732)Refutation not found, incomplete strategy% (2732)------------------------------
% 0.57/0.75  % (2732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2733)Instructions burned: 2 (million)
% 0.57/0.75  % (2732)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2732)Memory used [KB]: 958
% 0.57/0.75  % (2732)Time elapsed: 0.002 s
% 0.57/0.75  % (2732)Instructions burned: 2 (million)
% 0.57/0.75  % (2729)Instructions burned: 2 (million)
% 0.57/0.75  % (2734)Refutation not found, incomplete strategy% (2734)------------------------------
% 0.57/0.75  % (2734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2734)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2734)Memory used [KB]: 957
% 0.57/0.75  % (2734)Time elapsed: 0.002 s
% 0.57/0.75  % (2734)Instructions burned: 2 (million)
% 0.57/0.75  % (2736)Refutation not found, incomplete strategy% (2736)------------------------------
% 0.57/0.75  % (2736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2736)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2735)Refutation not found, incomplete strategy% (2735)------------------------------
% 0.57/0.75  % (2735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2735)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2735)Memory used [KB]: 958
% 0.57/0.75  % (2735)Time elapsed: 0.002 s
% 0.57/0.75  % (2735)Instructions burned: 2 (million)
% 0.57/0.75  % (2736)Memory used [KB]: 957
% 0.57/0.75  % (2736)Time elapsed: 0.002 s
% 0.57/0.75  % (2736)Instructions burned: 2 (million)
% 0.57/0.75  % (2733)------------------------------
% 0.57/0.75  % (2733)------------------------------
% 0.57/0.75  % (2732)------------------------------
% 0.57/0.75  % (2732)------------------------------
% 0.57/0.75  % (2734)------------------------------
% 0.57/0.75  % (2734)------------------------------
% 0.57/0.75  % (2736)------------------------------
% 0.57/0.75  % (2736)------------------------------
% 0.57/0.75  % (2735)------------------------------
% 0.57/0.75  % (2735)------------------------------
% 0.57/0.75  % (2729)------------------------------
% 0.57/0.75  % (2729)------------------------------
% 0.57/0.75  % (2738)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)
% 0.57/0.75  % (2737)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)
% 0.57/0.75  % (2738)Refutation not found, incomplete strategy% (2738)------------------------------
% 0.57/0.75  % (2738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2739)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)
% 0.57/0.75  % (2738)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2738)Memory used [KB]: 956
% 0.57/0.75  % (2738)Time elapsed: 0.001 s
% 0.57/0.75  % (2738)Instructions burned: 2 (million)
% 0.57/0.75  % (2741)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)
% 0.57/0.75  % (2740)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)
% 0.57/0.75  % (2738)------------------------------
% 0.57/0.75  % (2738)------------------------------
% 0.57/0.75  % (2742)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)
% 0.57/0.75  % (2741)Refutation not found, incomplete strategy% (2741)------------------------------
% 0.57/0.75  % (2741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2741)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2741)Memory used [KB]: 957
% 0.57/0.75  % (2741)Time elapsed: 0.002 s
% 0.57/0.75  % (2741)Instructions burned: 2 (million)
% 0.57/0.75  % (2742)Refutation not found, incomplete strategy% (2742)------------------------------
% 0.57/0.75  % (2742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2742)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (2742)Memory used [KB]: 955
% 0.57/0.75  % (2742)Time elapsed: 0.002 s
% 0.57/0.75  % (2730)First to succeed.
% 0.57/0.75  % (2742)Instructions burned: 2 (million)
% 0.57/0.75  % (2741)------------------------------
% 0.57/0.75  % (2741)------------------------------
% 0.57/0.75  % (2742)------------------------------
% 0.57/0.75  % (2742)------------------------------
% 0.57/0.75  % (2730)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2728"
% 0.57/0.75  % (2730)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (2730)------------------------------
% 0.57/0.75  % (2730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2730)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (2730)Memory used [KB]: 1071
% 0.57/0.75  % (2730)Time elapsed: 0.007 s
% 0.57/0.75  % (2730)Instructions burned: 12 (million)
% 0.57/0.75  % (2728)Success in time 0.396 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------