TSTP Solution File: BOO003-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 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 : n027.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 04:41:39 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% 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 (   3 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   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f265,plain,
    $false,
    inference(trivial_inequality_removal,[],[f264]) ).

fof(f264,plain,
    a != a,
    inference(superposition,[],[f9,f154]) ).

fof(f154,plain,
    ! [X0] : multiply(X0,X0) = X0,
    inference(superposition,[],[f120,f105]) ).

fof(f105,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(superposition,[],[f86,f6]) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',multiplicative_id1) ).

fof(f86,plain,
    ! [X0,X1] : add(multiply(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f85,f6]) ).

fof(f85,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
    inference(backward_demodulation,[],[f56,f84]) ).

fof(f84,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[],[f76,f7]) ).

fof(f7,axiom,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',additive_inverse1) ).

fof(f76,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(superposition,[],[f40,f6]) ).

fof(f40,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f27,f20]) ).

fof(f20,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(superposition,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',commutativity_of_multiply) ).

fof(f27,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(superposition,[],[f3,f7]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',distributivity1) ).

fof(f56,plain,
    ! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',distributivity2) ).

fof(f120,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
    inference(forward_demodulation,[],[f119,f5]) ).

fof(f5,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',additive_id1) ).

fof(f119,plain,
    ! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
    inference(backward_demodulation,[],[f26,f113]) ).

fof(f113,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(superposition,[],[f86,f5]) ).

fof(f26,plain,
    ! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
    inference(superposition,[],[f3,f5]) ).

fof(f9,axiom,
    a != multiply(a,a),
    file('/export/starexec/sandbox2/tmp/tmp.p5tWha4Edz/Vampire---4.8_32265',prove_a_times_a_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 18:46:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  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.p5tWha4Edz/Vampire---4.8_32265
% 0.61/0.79  % (32485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (32487)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)
% 0.61/0.79  % (32483)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)
% 0.61/0.79  % (32488)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)
% 0.61/0.79  % (32490)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)
% 0.61/0.79  % (32486)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)
% 0.61/0.79  % (32484)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)
% 0.61/0.79  % (32490)Refutation not found, incomplete strategy% (32490)------------------------------
% 0.61/0.79  % (32490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32490)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32487)Refutation not found, incomplete strategy% (32487)------------------------------
% 0.61/0.79  % (32487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32490)Memory used [KB]: 957
% 0.61/0.79  % (32490)Time elapsed: 0.002 s
% 0.61/0.79  % (32487)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32490)Instructions burned: 2 (million)
% 0.61/0.79  % (32487)Memory used [KB]: 972
% 0.61/0.79  % (32487)Time elapsed: 0.002 s
% 0.61/0.79  % (32487)Instructions burned: 2 (million)
% 0.61/0.79  % (32489)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)
% 0.61/0.79  % (32488)Refutation not found, incomplete strategy% (32488)------------------------------
% 0.61/0.79  % (32488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32488)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32488)Memory used [KB]: 958
% 0.61/0.79  % (32483)Refutation not found, incomplete strategy% (32483)------------------------------
% 0.61/0.79  % (32483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32483)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32483)Memory used [KB]: 972
% 0.61/0.79  % (32483)Time elapsed: 0.003 s
% 0.61/0.79  % (32483)Instructions burned: 2 (million)
% 0.61/0.79  % (32488)Time elapsed: 0.003 s
% 0.61/0.79  % (32490)------------------------------
% 0.61/0.79  % (32490)------------------------------
% 0.61/0.79  % (32487)------------------------------
% 0.61/0.79  % (32487)------------------------------
% 0.61/0.79  % (32488)Instructions burned: 2 (million)
% 0.61/0.79  % (32483)------------------------------
% 0.61/0.79  % (32483)------------------------------
% 0.61/0.79  % (32488)------------------------------
% 0.61/0.79  % (32488)------------------------------
% 0.61/0.79  % (32486)Refutation not found, incomplete strategy% (32486)------------------------------
% 0.61/0.79  % (32486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32486)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32486)Memory used [KB]: 958
% 0.61/0.79  % (32486)Time elapsed: 0.002 s
% 0.61/0.79  % (32486)Instructions burned: 2 (million)
% 0.61/0.79  % (32489)Refutation not found, incomplete strategy% (32489)------------------------------
% 0.61/0.79  % (32489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32489)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32486)------------------------------
% 0.61/0.79  % (32486)------------------------------
% 0.61/0.79  % (32489)Memory used [KB]: 958
% 0.61/0.79  % (32489)Time elapsed: 0.002 s
% 0.61/0.79  % (32489)Instructions burned: 2 (million)
% 0.61/0.79  % (32489)------------------------------
% 0.61/0.79  % (32489)------------------------------
% 0.61/0.80  % (32491)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)
% 0.61/0.80  % (32492)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)
% 0.61/0.80  % (32493)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)
% 0.61/0.80  % (32494)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)
% 0.61/0.80  % (32495)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)
% 0.61/0.80  % (32491)Refutation not found, incomplete strategy% (32491)------------------------------
% 0.61/0.80  % (32491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32491)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (32492)Refutation not found, incomplete strategy% (32492)------------------------------
% 0.61/0.80  % (32492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32492)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (32492)Memory used [KB]: 955
% 0.61/0.80  % (32492)Time elapsed: 0.002 s
% 0.61/0.80  % (32492)Instructions burned: 2 (million)
% 0.61/0.80  % (32491)Memory used [KB]: 960
% 0.61/0.80  % (32491)Time elapsed: 0.002 s
% 0.61/0.80  % (32491)Instructions burned: 2 (million)
% 0.61/0.80  % (32492)------------------------------
% 0.61/0.80  % (32492)------------------------------
% 0.61/0.80  % (32491)------------------------------
% 0.61/0.80  % (32491)------------------------------
% 0.61/0.80  % (32496)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)
% 0.61/0.80  % (32495)Refutation not found, incomplete strategy% (32495)------------------------------
% 0.61/0.80  % (32495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32495)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (32495)Memory used [KB]: 958
% 0.61/0.80  % (32495)Time elapsed: 0.002 s
% 0.61/0.80  % (32495)Instructions burned: 2 (million)
% 0.61/0.80  % (32495)------------------------------
% 0.61/0.80  % (32495)------------------------------
% 0.61/0.80  % (32496)Refutation not found, incomplete strategy% (32496)------------------------------
% 0.61/0.80  % (32496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32496)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (32496)Memory used [KB]: 956
% 0.61/0.80  % (32496)Time elapsed: 0.002 s
% 0.61/0.80  % (32496)Instructions burned: 2 (million)
% 0.61/0.80  % (32496)------------------------------
% 0.61/0.80  % (32496)------------------------------
% 0.61/0.80  % (32485)First to succeed.
% 0.61/0.80  % (32484)Also succeeded, but the first one will report.
% 0.61/0.80  % (32485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32428"
% 0.61/0.80  % (32485)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (32485)------------------------------
% 0.61/0.80  % (32485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32485)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (32485)Memory used [KB]: 1074
% 0.61/0.80  % (32485)Time elapsed: 0.010 s
% 0.61/0.80  % (32485)Instructions burned: 16 (million)
% 0.61/0.80  % (32428)Success in time 0.431 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------