TSTP Solution File: GRP522-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP522-1 : 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 : n032.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 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   37 (  37 unt;   0 def)
%            Number of atoms       :   37 (  36 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 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   :   70 (  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f789,plain,
    $false,
    inference(trivial_inequality_removal,[],[f788]) ).

fof(f788,plain,
    a2 != a2,
    inference(superposition,[],[f778,f162]) ).

fof(f162,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[],[f155,f37]) ).

fof(f37,plain,
    ! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
    inference(superposition,[],[f31,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.u7sB9hx8x4/Vampire---4.8_4197',inverse) ).

fof(f31,plain,
    ! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
    inference(forward_demodulation,[],[f25,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.u7sB9hx8x4/Vampire---4.8_4197',multiply) ).

fof(f25,plain,
    ! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(divide(X0,X0),X1)))) = X2,
    inference(superposition,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.u7sB9hx8x4/Vampire---4.8_4197',single_axiom) ).

fof(f155,plain,
    ! [X2] : inverse(inverse(X2)) = X2,
    inference(forward_demodulation,[],[f154,f3]) ).

fof(f154,plain,
    ! [X2,X0] : inverse(divide(divide(X0,X0),X2)) = X2,
    inference(forward_demodulation,[],[f152,f102]) ).

fof(f102,plain,
    ! [X2,X0,X1] : divide(X0,X1) = divide(X0,divide(X1,divide(X2,X2))),
    inference(superposition,[],[f1,f70]) ).

fof(f70,plain,
    ! [X2,X1] : divide(X2,X2) = divide(X1,X1),
    inference(superposition,[],[f42,f42]) ).

fof(f42,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
    inference(superposition,[],[f32,f3]) ).

fof(f32,plain,
    ! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
    inference(forward_demodulation,[],[f26,f5]) ).

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

fof(f26,plain,
    ! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(inverse(divide(X0,X0)),X1)))) = X2,
    inference(superposition,[],[f1,f5]) ).

fof(f152,plain,
    ! [X2,X0,X1] : inverse(divide(divide(X0,X0),divide(X2,divide(X1,X1)))) = X2,
    inference(superposition,[],[f32,f83]) ).

fof(f83,plain,
    ! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
    inference(superposition,[],[f70,f3]) ).

fof(f778,plain,
    a2 != multiply(a2,divide(b2,b2)),
    inference(forward_demodulation,[],[f758,f487]) ).

fof(f487,plain,
    ! [X0,X1] : divide(X1,X0) = multiply(inverse(X0),X1),
    inference(forward_demodulation,[],[f484,f455]) ).

fof(f455,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
    inference(superposition,[],[f321,f345]) ).

fof(f345,plain,
    ! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
    inference(forward_demodulation,[],[f337,f3]) ).

fof(f337,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(X1,X1),divide(X2,X0))) = X2,
    inference(superposition,[],[f1,f300]) ).

fof(f300,plain,
    ! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
    inference(forward_demodulation,[],[f292,f155]) ).

fof(f292,plain,
    ! [X0,X1] : inverse(inverse(X0)) = divide(X0,divide(X1,X1)),
    inference(superposition,[],[f155,f103]) ).

fof(f103,plain,
    ! [X0,X1] : inverse(X0) = inverse(divide(X0,divide(X1,X1))),
    inference(superposition,[],[f32,f70]) ).

fof(f321,plain,
    ! [X0,X1] : divide(X1,divide(X1,X0)) = X0,
    inference(superposition,[],[f1,f300]) ).

fof(f484,plain,
    ! [X0,X1] : inverse(divide(X0,X1)) = multiply(inverse(X0),X1),
    inference(superposition,[],[f32,f468]) ).

fof(f468,plain,
    ! [X0,X1] : divide(multiply(X1,X0),X1) = X0,
    inference(forward_demodulation,[],[f443,f155]) ).

fof(f443,plain,
    ! [X0,X1] : divide(multiply(X1,X0),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f345,f158]) ).

fof(f158,plain,
    ! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
    inference(superposition,[],[f155,f31]) ).

fof(f758,plain,
    a2 != multiply(a2,multiply(inverse(b2),b2)),
    inference(superposition,[],[f4,f680]) ).

fof(f680,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[],[f583,f468]) ).

fof(f583,plain,
    ! [X0,X1] : multiply(divide(X1,X0),X0) = X1,
    inference(superposition,[],[f356,f345]) ).

fof(f356,plain,
    ! [X0,X1] : multiply(X1,X0) = divide(X0,inverse(X1)),
    inference(superposition,[],[f321,f158]) ).

fof(f4,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/tmp/tmp.u7sB9hx8x4/Vampire---4.8_4197',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Apr 30 18:34:36 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.08/0.28  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.u7sB9hx8x4/Vampire---4.8_4197
% 0.47/0.64  % (4418)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.64  % (4417)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)
% 0.47/0.64  % (4423)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)
% 0.47/0.64  % (4419)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)
% 0.47/0.64  % (4423)Refutation not found, incomplete strategy% (4423)------------------------------
% 0.47/0.64  % (4423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4423)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4423)Memory used [KB]: 947
% 0.47/0.64  % (4423)Time elapsed: 0.001 s
% 0.47/0.64  % (4423)Instructions burned: 2 (million)
% 0.47/0.64  % (4423)------------------------------
% 0.47/0.64  % (4423)------------------------------
% 0.47/0.64  % (4416)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)
% 0.47/0.64  % (4421)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)
% 0.47/0.64  % (4420)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)
% 0.47/0.64  % (4419)Refutation not found, incomplete strategy% (4419)------------------------------
% 0.47/0.64  % (4419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4419)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4419)Memory used [KB]: 956
% 0.47/0.64  % (4419)Time elapsed: 0.002 s
% 0.47/0.64  % (4419)Instructions burned: 2 (million)
% 0.47/0.64  % (4419)------------------------------
% 0.47/0.64  % (4419)------------------------------
% 0.47/0.64  % (4422)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)
% 0.47/0.64  % (4420)Refutation not found, incomplete strategy% (4420)------------------------------
% 0.47/0.64  % (4420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4416)Refutation not found, incomplete strategy% (4416)------------------------------
% 0.47/0.64  % (4416)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4416)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4416)Memory used [KB]: 962
% 0.47/0.64  % (4416)Time elapsed: 0.003 s
% 0.47/0.64  % (4416)Instructions burned: 2 (million)
% 0.47/0.64  % (4416)------------------------------
% 0.47/0.64  % (4416)------------------------------
% 0.47/0.64  % (4420)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4420)Memory used [KB]: 961
% 0.47/0.64  % (4420)Time elapsed: 0.003 s
% 0.47/0.64  % (4420)Instructions burned: 2 (million)
% 0.47/0.64  % (4420)------------------------------
% 0.47/0.64  % (4420)------------------------------
% 0.47/0.64  % (4422)Refutation not found, incomplete strategy% (4422)------------------------------
% 0.47/0.64  % (4422)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4422)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4422)Memory used [KB]: 949
% 0.47/0.64  % (4422)Time elapsed: 0.002 s
% 0.47/0.64  % (4422)Instructions burned: 2 (million)
% 0.47/0.64  % (4422)------------------------------
% 0.47/0.64  % (4422)------------------------------
% 0.47/0.64  % (4427)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)
% 0.47/0.64  % (4429)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)
% 0.47/0.64  % (4429)Refutation not found, incomplete strategy% (4429)------------------------------
% 0.47/0.64  % (4429)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4429)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4429)Memory used [KB]: 946
% 0.47/0.64  % (4429)Time elapsed: 0.002 s
% 0.47/0.64  % (4429)Instructions burned: 2 (million)
% 0.47/0.64  % (4429)------------------------------
% 0.47/0.64  % (4429)------------------------------
% 0.47/0.64  % (4421)Refutation not found, incomplete strategy% (4421)------------------------------
% 0.47/0.64  % (4421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4421)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4421)Memory used [KB]: 1026
% 0.47/0.64  % (4421)Time elapsed: 0.006 s
% 0.47/0.64  % (4421)Instructions burned: 8 (million)
% 0.47/0.64  % (4421)------------------------------
% 0.47/0.64  % (4421)------------------------------
% 0.47/0.64  % (4430)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)
% 0.47/0.64  % (4431)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)
% 0.47/0.64  % (4433)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)
% 0.47/0.64  % (4435)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)
% 0.47/0.64  % (4435)Refutation not found, incomplete strategy% (4435)------------------------------
% 0.47/0.64  % (4435)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64  % (4435)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (4435)Memory used [KB]: 945
% 0.47/0.64  % (4435)Time elapsed: 0.002 s
% 0.47/0.64  % (4435)Instructions burned: 2 (million)
% 0.47/0.64  % (4435)------------------------------
% 0.47/0.64  % (4435)------------------------------
% 0.47/0.64  % (4417)First to succeed.
% 0.47/0.65  % (4427)Also succeeded, but the first one will report.
% 0.47/0.65  % (4436)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 (2996ds/243Mi)
% 0.47/0.65  % (4417)Refutation found. Thanks to Tanya!
% 0.47/0.65  % SZS status Unsatisfiable for Vampire---4
% 0.47/0.65  % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.65  % (4417)------------------------------
% 0.47/0.65  % (4417)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.65  % (4417)Termination reason: Refutation
% 0.47/0.65  
% 0.47/0.65  % (4417)Memory used [KB]: 1170
% 0.47/0.65  % (4417)Time elapsed: 0.011 s
% 0.47/0.65  % (4417)Instructions burned: 28 (million)
% 0.47/0.65  % (4417)------------------------------
% 0.47/0.65  % (4417)------------------------------
% 0.47/0.65  % (4363)Success in time 0.356 s
% 0.47/0.65  % Vampire---4.8 exiting
%------------------------------------------------------------------------------