TSTP Solution File: BOO017-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO017-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 02:10:43 EDT 2024

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (  25 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f348,plain,
    $false,
    inference(subsumption_resolution,[],[f338,f16]) ).

fof(f16,axiom,
    x != multiply(x,z),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',prove_sum) ).

fof(f338,plain,
    x = multiply(x,z),
    inference(superposition,[],[f280,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',commutativity_of_multiply) ).

fof(f280,plain,
    x = multiply(z,x),
    inference(superposition,[],[f227,f15]) ).

fof(f15,axiom,
    add(x,y) = z,
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',x_times_y) ).

fof(f227,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f225,f13]) ).

fof(f13,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',additive_id1) ).

fof(f225,plain,
    ! [X0,X1] : add(X0,additive_identity) = multiply(add(X0,X1),X0),
    inference(backward_demodulation,[],[f90,f218]) ).

fof(f218,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(superposition,[],[f165,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',additive_id2) ).

fof(f165,plain,
    ! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
    inference(forward_demodulation,[],[f164,f12]) ).

fof(f12,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',multiplicative_id2) ).

fof(f164,plain,
    ! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
    inference(forward_demodulation,[],[f142,f127]) ).

fof(f127,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f112,f8]) ).

fof(f8,axiom,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',additive_inverse2) ).

fof(f112,plain,
    ! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
    inference(superposition,[],[f77,f11]) ).

fof(f11,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',multiplicative_id1) ).

fof(f77,plain,
    ! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
    inference(forward_demodulation,[],[f61,f12]) ).

fof(f61,plain,
    ! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
    inference(superposition,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',distributivity1) ).

fof(f142,plain,
    ! [X0,X1] : multiply(add(multiplicative_identity,X1),X0) = add(X0,multiply(X1,X0)),
    inference(superposition,[],[f5,f12]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',distributivity3) ).

fof(f90,plain,
    ! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
    inference(superposition,[],[f4,f13]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.RpD3wbdxHe/Vampire---4.8_16518',distributivity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : BOO017-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.16  % 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
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:43:11 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37  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.RpD3wbdxHe/Vampire---4.8_16518
% 0.55/0.76  % (16710)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)
% 0.55/0.76  % (16717)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)
% 0.55/0.76  % (16717)Refutation not found, incomplete strategy% (16717)------------------------------
% 0.55/0.76  % (16717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16717)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16717)Memory used [KB]: 960
% 0.55/0.76  % (16717)Time elapsed: 0.001 s
% 0.55/0.76  % (16717)Instructions burned: 2 (million)
% 0.55/0.76  % (16717)------------------------------
% 0.55/0.76  % (16717)------------------------------
% 0.55/0.76  % (16710)Refutation not found, incomplete strategy% (16710)------------------------------
% 0.55/0.76  % (16710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16710)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16710)Memory used [KB]: 976
% 0.55/0.76  % (16710)Time elapsed: 0.002 s
% 0.55/0.76  % (16710)Instructions burned: 2 (million)
% 0.55/0.76  % (16710)------------------------------
% 0.55/0.76  % (16710)------------------------------
% 0.55/0.76  % (16711)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)
% 0.55/0.76  % (16712)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (16715)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)
% 0.55/0.76  % (16714)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)
% 0.55/0.76  % (16716)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)
% 0.55/0.76  % (16713)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)
% 0.61/0.76  % (16714)Refutation not found, incomplete strategy% (16714)------------------------------
% 0.61/0.76  % (16714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (16714)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (16714)Memory used [KB]: 975
% 0.61/0.76  % (16714)Time elapsed: 0.003 s
% 0.61/0.76  % (16714)Instructions burned: 2 (million)
% 0.61/0.76  % (16714)------------------------------
% 0.61/0.76  % (16714)------------------------------
% 0.61/0.76  % (16713)Refutation not found, incomplete strategy% (16713)------------------------------
% 0.61/0.76  % (16713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (16713)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (16713)Memory used [KB]: 962
% 0.61/0.76  % (16713)Time elapsed: 0.003 s
% 0.61/0.77  % (16713)Instructions burned: 2 (million)
% 0.61/0.77  % (16713)------------------------------
% 0.61/0.77  % (16713)------------------------------
% 0.61/0.77  % (16719)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)
% 0.61/0.77  % (16720)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)
% 0.61/0.77  % (16720)Refutation not found, incomplete strategy% (16720)------------------------------
% 0.61/0.77  % (16720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (16720)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (16720)Memory used [KB]: 959
% 0.61/0.77  % (16720)Time elapsed: 0.001 s
% 0.61/0.77  % (16720)Instructions burned: 2 (million)
% 0.61/0.77  % (16720)------------------------------
% 0.61/0.77  % (16720)------------------------------
% 0.61/0.77  % (16725)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)
% 0.61/0.77  % (16722)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)
% 0.61/0.77  % (16725)Refutation not found, incomplete strategy% (16725)------------------------------
% 0.61/0.77  % (16725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (16725)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (16725)Memory used [KB]: 961
% 0.61/0.77  % (16725)Time elapsed: 0.002 s
% 0.61/0.77  % (16725)Instructions burned: 3 (million)
% 0.61/0.77  % (16723)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)
% 0.61/0.77  % (16725)------------------------------
% 0.61/0.77  % (16725)------------------------------
% 0.61/0.77  % (16728)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)
% 0.61/0.77  % (16728)Refutation not found, incomplete strategy% (16728)------------------------------
% 0.61/0.77  % (16728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (16728)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (16728)Memory used [KB]: 972
% 0.61/0.77  % (16728)Time elapsed: 0.001 s
% 0.61/0.77  % (16728)Instructions burned: 2 (million)
% 0.61/0.77  % (16728)------------------------------
% 0.61/0.77  % (16728)------------------------------
% 0.61/0.78  % (16730)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)
% 0.61/0.78  % (16719)Instruction limit reached!
% 0.61/0.78  % (16719)------------------------------
% 0.61/0.78  % (16719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (16719)Termination reason: Unknown
% 0.61/0.78  % (16719)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (16719)Memory used [KB]: 1508
% 0.61/0.78  % (16719)Time elapsed: 0.019 s
% 0.61/0.78  % (16719)Instructions burned: 55 (million)
% 0.61/0.78  % (16719)------------------------------
% 0.61/0.78  % (16719)------------------------------
% 0.61/0.78  % (16723)First to succeed.
% 0.61/0.79  % (16723)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  % (16723)------------------------------
% 0.61/0.79  % (16723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (16723)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (16723)Memory used [KB]: 1168
% 0.61/0.79  % (16723)Time elapsed: 0.016 s
% 0.61/0.79  % (16723)Instructions burned: 25 (million)
% 0.61/0.79  % (16723)------------------------------
% 0.61/0.79  % (16723)------------------------------
% 0.61/0.79  % (16687)Success in time 0.404 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------