TSTP Solution File: BOO003-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO003-2 : TPTP v8.2.0. 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 : 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 : Mon May 20 18:57:35 EDT 2024

% Result   : Unsatisfiable 0.70s 0.90s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f362,plain,
    $false,
    inference(trivial_inequality_removal,[],[f361]) ).

fof(f361,plain,
    a != a,
    inference(superposition,[],[f15,f355]) ).

fof(f355,plain,
    ! [X0] : multiply(X0,X0) = X0,
    inference(forward_demodulation,[],[f354,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).

fof(f354,plain,
    ! [X0] : add(additive_identity,X0) = multiply(X0,add(additive_identity,X0)),
    inference(superposition,[],[f60,f348]) ).

fof(f348,plain,
    additive_identity = multiply(additive_identity,additive_identity),
    inference(forward_demodulation,[],[f337,f11]) ).

fof(f11,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f337,plain,
    additive_identity = multiply(multiply(additive_identity,multiplicative_identity),additive_identity),
    inference(superposition,[],[f336,f16]) ).

fof(f16,plain,
    multiplicative_identity = inverse(additive_identity),
    inference(superposition,[],[f7,f14]) ).

fof(f7,axiom,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).

fof(f336,plain,
    ! [X0] : additive_identity = multiply(multiply(additive_identity,inverse(X0)),X0),
    inference(forward_demodulation,[],[f335,f11]) ).

fof(f335,plain,
    ! [X0] : multiply(additive_identity,multiplicative_identity) = multiply(multiply(additive_identity,inverse(X0)),X0),
    inference(forward_demodulation,[],[f334,f7]) ).

fof(f334,plain,
    ! [X0] : multiply(multiply(additive_identity,inverse(X0)),X0) = multiply(additive_identity,add(X0,inverse(X0))),
    inference(forward_demodulation,[],[f329,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).

fof(f329,plain,
    ! [X0] : add(multiply(additive_identity,X0),multiply(additive_identity,inverse(X0))) = multiply(multiply(additive_identity,inverse(X0)),X0),
    inference(superposition,[],[f60,f308]) ).

fof(f308,plain,
    ! [X0] : add(X0,multiply(additive_identity,inverse(X0))) = X0,
    inference(superposition,[],[f296,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).

fof(f296,plain,
    ! [X0] : add(multiply(additive_identity,inverse(X0)),X0) = X0,
    inference(forward_demodulation,[],[f273,f11]) ).

fof(f273,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = add(multiply(additive_identity,inverse(X0)),X0),
    inference(superposition,[],[f60,f8]) ).

fof(f8,axiom,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).

fof(f60,plain,
    ! [X0,X1] : add(multiply(additive_identity,X1),X0) = multiply(X0,add(X1,X0)),
    inference(superposition,[],[f3,f14]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).

fof(f15,axiom,
    a != multiply(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_a_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : BOO003-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % 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
% 0.15/0.38  % Computer : n023.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sat May 18 14:32:23 EDT 2024
% 0.24/0.38  % CPUTime    : 
% 0.24/0.38  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.24/0.38  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/benchmark/theBenchmark.p
% 0.70/0.89  % (31571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.70/0.89  % (31569)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.89  % (31572)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.70/0.89  % (31570)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 theBenchmark for (2995ds/51Mi)
% 0.70/0.89  % (31573)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.89  % (31574)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.70/0.89  % (31575)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 theBenchmark for (2995ds/83Mi)
% 0.70/0.89  % (31576)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.70/0.89  % (31572)Refutation not found, incomplete strategy% (31572)------------------------------
% 0.70/0.89  % (31572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31572)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (31572)Memory used [KB]: 968
% 0.70/0.89  % (31572)Time elapsed: 0.002 s
% 0.70/0.89  % (31574)Refutation not found, incomplete strategy% (31574)------------------------------
% 0.70/0.89  % (31574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31572)Instructions burned: 2 (million)
% 0.70/0.89  % (31574)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (31574)Memory used [KB]: 967
% 0.70/0.89  % (31574)Time elapsed: 0.002 s
% 0.70/0.89  % (31574)Instructions burned: 2 (million)
% 0.70/0.89  % (31573)Refutation not found, incomplete strategy% (31573)------------------------------
% 0.70/0.89  % (31573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31573)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (31573)Memory used [KB]: 982
% 0.70/0.89  % (31573)Time elapsed: 0.002 s
% 0.70/0.89  % (31573)Instructions burned: 2 (million)
% 0.70/0.89  % (31569)Refutation not found, incomplete strategy% (31569)------------------------------
% 0.70/0.89  % (31569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31569)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (31569)Memory used [KB]: 983
% 0.70/0.89  % (31569)Time elapsed: 0.003 s
% 0.70/0.89  % (31569)Instructions burned: 2 (million)
% 0.70/0.89  % (31575)Refutation not found, incomplete strategy% (31575)------------------------------
% 0.70/0.89  % (31575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31576)Refutation not found, incomplete strategy% (31576)------------------------------
% 0.70/0.89  % (31576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31575)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  % (31576)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  % (31575)Memory used [KB]: 968
% 0.70/0.89  % (31576)Memory used [KB]: 967
% 0.70/0.89  % (31575)Time elapsed: 0.002 s
% 0.70/0.89  % (31576)Time elapsed: 0.002 s
% 0.70/0.89  % (31575)Instructions burned: 2 (million)
% 0.70/0.89  % (31576)Instructions burned: 2 (million)
% 0.70/0.89  % (31574)------------------------------
% 0.70/0.89  % (31574)------------------------------
% 0.70/0.89  % (31572)------------------------------
% 0.70/0.89  % (31572)------------------------------
% 0.70/0.89  % (31573)------------------------------
% 0.70/0.89  % (31573)------------------------------
% 0.70/0.89  % (31569)------------------------------
% 0.70/0.89  % (31569)------------------------------
% 0.70/0.89  % (31576)------------------------------
% 0.70/0.89  % (31576)------------------------------
% 0.70/0.89  % (31575)------------------------------
% 0.70/0.89  % (31575)------------------------------
% 0.70/0.89  % (31571)Refutation not found, incomplete strategy% (31571)------------------------------
% 0.70/0.89  % (31571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (31571)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (31571)Memory used [KB]: 969
% 0.70/0.89  % (31571)Time elapsed: 0.004 s
% 0.70/0.89  % (31571)Instructions burned: 2 (million)
% 0.70/0.89  % (31571)------------------------------
% 0.70/0.89  % (31571)------------------------------
% 0.70/0.89  % (31577)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 theBenchmark for (2995ds/55Mi)
% 0.70/0.89  % (31578)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 theBenchmark for (2995ds/50Mi)
% 0.70/0.89  % (31579)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.70/0.89  % (31581)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 theBenchmark for (2995ds/518Mi)
% 0.70/0.89  % (31580)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 theBenchmark for (2995ds/52Mi)
% 0.70/0.89  % (31582)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 theBenchmark for (2995ds/42Mi)
% 0.70/0.90  % (31577)Refutation not found, incomplete strategy% (31577)------------------------------
% 0.70/0.90  % (31577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (31577)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (31577)Memory used [KB]: 970
% 0.70/0.90  % (31577)Time elapsed: 0.002 s
% 0.70/0.90  % (31577)Instructions burned: 2 (million)
% 0.70/0.90  % (31578)Refutation not found, incomplete strategy% (31578)------------------------------
% 0.70/0.90  % (31578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (31578)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (31578)Memory used [KB]: 965
% 0.70/0.90  % (31578)Time elapsed: 0.002 s
% 0.70/0.90  % (31578)Instructions burned: 2 (million)
% 0.70/0.90  % (31578)------------------------------
% 0.70/0.90  % (31578)------------------------------
% 0.70/0.90  % (31582)Refutation not found, incomplete strategy% (31582)------------------------------
% 0.70/0.90  % (31582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (31581)Refutation not found, incomplete strategy% (31581)------------------------------
% 0.70/0.90  % (31581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (31577)------------------------------
% 0.70/0.90  % (31577)------------------------------
% 0.70/0.90  % (31582)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  % (31581)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  
% 0.70/0.90  % (31582)Memory used [KB]: 967
% 0.70/0.90  % (31581)Memory used [KB]: 968
% 0.70/0.90  % (31582)Time elapsed: 0.002 s
% 0.70/0.90  % (31581)Time elapsed: 0.002 s
% 0.70/0.90  % (31582)Instructions burned: 2 (million)
% 0.70/0.90  % (31581)Instructions burned: 2 (million)
% 0.70/0.90  % (31583)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 theBenchmark for (2995ds/243Mi)
% 0.70/0.90  % (31582)------------------------------
% 0.70/0.90  % (31582)------------------------------
% 0.70/0.90  % (31581)------------------------------
% 0.70/0.90  % (31581)------------------------------
% 0.70/0.90  % (31570)First to succeed.
% 0.70/0.90  % (31570)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31568"
% 0.70/0.90  % (31570)Refutation found. Thanks to Tanya!
% 0.70/0.90  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.90  % (31570)------------------------------
% 0.70/0.90  % (31570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (31570)Termination reason: Refutation
% 0.70/0.90  
% 0.70/0.90  % (31570)Memory used [KB]: 1080
% 0.70/0.90  % (31570)Time elapsed: 0.010 s
% 0.70/0.90  % (31570)Instructions burned: 16 (million)
% 0.70/0.90  % (31568)Success in time 0.505 s
% 0.70/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------