TSTP Solution File: GRP116-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : n010.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 02:26:54 EDT 2024

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f353,plain,
    $false,
    inference(trivial_inequality_removal,[],[f319]) ).

fof(f319,plain,
    a != a,
    inference(superposition,[],[f2,f277]) ).

fof(f277,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(superposition,[],[f119,f258]) ).

fof(f258,plain,
    ! [X0] : identity = multiply(X0,multiply(X0,X0)),
    inference(forward_demodulation,[],[f235,f157]) ).

fof(f157,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[],[f151,f117]) ).

fof(f117,plain,
    ! [X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(identity,identity))))) = X0,
    inference(superposition,[],[f49,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.PW5WSi5eIj/Vampire---4.8_5338',single_axiom) ).

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

fof(f49,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
    inference(forward_demodulation,[],[f48,f12]) ).

fof(f48,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(multiply(X1,X2),X2),multiply(identity,X2))))) = X1,
    inference(forward_demodulation,[],[f47,f42]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)) = multiply(X0,multiply(multiply(X1,X2),X3)),
    inference(forward_demodulation,[],[f28,f12]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)) = multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)),
    inference(superposition,[],[f12,f12]) ).

fof(f47,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
    inference(forward_demodulation,[],[f33,f12]) ).

fof(f33,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,X2))),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
    inference(superposition,[],[f1,f12]) ).

fof(f151,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(identity,identity))))),
    inference(superposition,[],[f49,f118]) ).

fof(f118,plain,
    ! [X0] : multiply(multiply(X0,identity),identity) = X0,
    inference(superposition,[],[f49,f86]) ).

fof(f86,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
    inference(forward_demodulation,[],[f70,f12]) ).

fof(f70,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
    inference(superposition,[],[f31,f12]) ).

fof(f31,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
    inference(superposition,[],[f1,f12]) ).

fof(f235,plain,
    ! [X0] : identity = multiply(multiply(X0,identity),multiply(multiply(X0,identity),X0)),
    inference(superposition,[],[f167,f118]) ).

fof(f167,plain,
    ! [X0,X1] : multiply(X1,multiply(X1,multiply(X1,X0))) = X0,
    inference(superposition,[],[f86,f157]) ).

fof(f119,plain,
    ! [X0,X1] : multiply(multiply(X0,multiply(X1,X1)),X1) = X0,
    inference(superposition,[],[f49,f49]) ).

fof(f2,axiom,
    a != multiply(identity,a),
    file('/export/starexec/sandbox2/tmp/tmp.PW5WSi5eIj/Vampire---4.8_5338',prove_order3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 0.15/0.15  % 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
% 0.15/0.36  % Computer : n010.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   : Tue Apr 30 18:12:20 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.21/0.36  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.PW5WSi5eIj/Vampire---4.8_5338
% 0.60/0.81  % (5571)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)
% 0.60/0.81  % (5573)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)
% 0.60/0.81  % (5571)Refutation not found, incomplete strategy% (5571)------------------------------
% 0.60/0.81  % (5571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5571)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  % (5573)Refutation not found, incomplete strategy% (5573)------------------------------
% 0.60/0.81  % (5573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5573)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5573)Memory used [KB]: 946
% 0.60/0.81  % (5573)Time elapsed: 0.002 s
% 0.60/0.81  % (5573)Instructions burned: 2 (million)
% 0.60/0.81  % (5573)------------------------------
% 0.60/0.81  % (5573)------------------------------
% 0.60/0.81  
% 0.60/0.81  % (5571)Memory used [KB]: 947
% 0.60/0.81  % (5571)Time elapsed: 0.002 s
% 0.60/0.81  % (5571)Instructions burned: 2 (million)
% 0.60/0.81  % (5571)------------------------------
% 0.60/0.81  % (5571)------------------------------
% 0.60/0.81  % (5566)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)
% 0.60/0.81  % (5568)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (5572)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)
% 0.60/0.81  % (5569)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)
% 0.60/0.81  % (5567)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)
% 0.60/0.81  % (5570)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)
% 0.60/0.81  % (5569)Refutation not found, incomplete strategy% (5569)------------------------------
% 0.60/0.81  % (5569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5566)Refutation not found, incomplete strategy% (5566)------------------------------
% 0.60/0.81  % (5566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5566)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5566)Memory used [KB]: 961
% 0.60/0.81  % (5566)Time elapsed: 0.003 s
% 0.60/0.81  % (5566)Instructions burned: 2 (million)
% 0.60/0.81  % (5566)------------------------------
% 0.60/0.81  % (5566)------------------------------
% 0.60/0.81  % (5572)Refutation not found, incomplete strategy% (5572)------------------------------
% 0.60/0.81  % (5572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5572)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5572)Memory used [KB]: 947
% 0.60/0.81  % (5572)Time elapsed: 0.003 s
% 0.60/0.81  % (5572)Instructions burned: 2 (million)
% 0.60/0.81  % (5572)------------------------------
% 0.60/0.81  % (5572)------------------------------
% 0.60/0.81  % (5569)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5569)Memory used [KB]: 948
% 0.60/0.81  % (5569)Time elapsed: 0.003 s
% 0.60/0.81  % (5569)Instructions burned: 2 (million)
% 0.60/0.81  % (5569)------------------------------
% 0.60/0.81  % (5569)------------------------------
% 0.60/0.81  % (5570)Refutation not found, incomplete strategy% (5570)------------------------------
% 0.60/0.81  % (5570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (5570)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (5570)Memory used [KB]: 960
% 0.60/0.81  % (5570)Time elapsed: 0.003 s
% 0.60/0.81  % (5570)Instructions burned: 2 (million)
% 0.60/0.81  % (5570)------------------------------
% 0.60/0.81  % (5570)------------------------------
% 0.60/0.82  % (5576)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 (2995ds/50Mi)
% 0.60/0.82  % (5575)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)
% 0.60/0.82  % (5576)Refutation not found, incomplete strategy% (5576)------------------------------
% 0.60/0.82  % (5576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (5576)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5576)Memory used [KB]: 945
% 0.60/0.82  % (5576)Time elapsed: 0.002 s
% 0.60/0.82  % (5576)Instructions burned: 2 (million)
% 0.60/0.82  % (5576)------------------------------
% 0.60/0.82  % (5576)------------------------------
% 0.60/0.82  % (5577)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 (2995ds/208Mi)
% 0.60/0.82  % (5579)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 (2995ds/518Mi)
% 0.60/0.82  % (5578)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 (2995ds/52Mi)
% 0.60/0.82  % (5579)Refutation not found, incomplete strategy% (5579)------------------------------
% 0.60/0.82  % (5579)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (5579)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5579)Memory used [KB]: 947
% 0.60/0.82  % (5579)Time elapsed: 0.003 s
% 0.60/0.82  % (5579)Instructions burned: 2 (million)
% 0.60/0.82  % (5579)------------------------------
% 0.60/0.82  % (5579)------------------------------
% 0.60/0.82  % (5580)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 (2995ds/42Mi)
% 0.60/0.82  % (5581)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 (2995ds/243Mi)
% 0.60/0.82  % (5580)Refutation not found, incomplete strategy% (5580)------------------------------
% 0.60/0.82  % (5580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (5580)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5580)Memory used [KB]: 945
% 0.60/0.82  % (5580)Time elapsed: 0.003 s
% 0.60/0.82  % (5580)Instructions burned: 2 (million)
% 0.60/0.82  % (5580)------------------------------
% 0.60/0.82  % (5580)------------------------------
% 0.60/0.82  % (5582)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 (2995ds/117Mi)
% 0.60/0.82  % (5582)Refutation not found, incomplete strategy% (5582)------------------------------
% 0.60/0.82  % (5582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (5582)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (5582)Memory used [KB]: 947
% 0.60/0.82  % (5582)Time elapsed: 0.002 s
% 0.60/0.82  % (5582)Instructions burned: 2 (million)
% 0.60/0.82  % (5582)------------------------------
% 0.60/0.82  % (5582)------------------------------
% 0.60/0.82  % (5567)First to succeed.
% 0.60/0.82  % (5583)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 (2995ds/143Mi)
% 0.60/0.83  % (5583)Refutation not found, incomplete strategy% (5583)------------------------------
% 0.60/0.83  % (5583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (5583)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (5583)Memory used [KB]: 962
% 0.60/0.83  % (5583)Time elapsed: 0.003 s
% 0.60/0.83  % (5583)Instructions burned: 2 (million)
% 0.60/0.83  % (5583)------------------------------
% 0.60/0.83  % (5583)------------------------------
% 0.60/0.83  % (5567)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (5567)------------------------------
% 0.60/0.83  % (5567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (5567)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (5567)Memory used [KB]: 1164
% 0.60/0.83  % (5567)Time elapsed: 0.015 s
% 0.60/0.83  % (5567)Instructions burned: 19 (million)
% 0.60/0.83  % (5567)------------------------------
% 0.60/0.83  % (5567)------------------------------
% 0.60/0.83  % (5519)Success in time 0.446 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------