TSTP Solution File: BOO013-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 02:10:38 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 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    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f266,plain,
    $false,
    inference(subsumption_resolution,[],[f265,f19]) ).

fof(f19,axiom,
    b != c,
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',prove_b_is_a) ).

fof(f265,plain,
    b = c,
    inference(forward_demodulation,[],[f264,f114]) ).

fof(f114,plain,
    b = add(b,c),
    inference(superposition,[],[f91,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',commutativity_of_add) ).

fof(f91,plain,
    b = add(c,b),
    inference(forward_demodulation,[],[f79,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',additive_id2) ).

fof(f79,plain,
    add(additive_identity,b) = add(c,b),
    inference(superposition,[],[f25,f18]) ).

fof(f18,axiom,
    additive_identity = multiply(a,c),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',c_a_additive_identity) ).

fof(f25,plain,
    ! [X0] : add(X0,b) = add(multiply(a,X0),b),
    inference(forward_demodulation,[],[f21,f12]) ).

fof(f12,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',multiplicative_id2) ).

fof(f21,plain,
    ! [X0] : add(multiply(a,X0),b) = multiply(multiplicative_identity,add(X0,b)),
    inference(superposition,[],[f3,f15]) ).

fof(f15,axiom,
    multiplicative_identity = add(a,b),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',b_and_multiplicative_identity) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',distributivity1) ).

fof(f264,plain,
    c = add(b,c),
    inference(forward_demodulation,[],[f252,f14]) ).

fof(f252,plain,
    add(b,c) = add(additive_identity,c),
    inference(superposition,[],[f33,f17]) ).

fof(f17,axiom,
    additive_identity = multiply(a,b),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',b_a_additive_identity) ).

fof(f33,plain,
    ! [X0] : add(X0,c) = add(multiply(a,X0),c),
    inference(forward_demodulation,[],[f29,f12]) ).

fof(f29,plain,
    ! [X0] : add(multiply(a,X0),c) = multiply(multiplicative_identity,add(X0,c)),
    inference(superposition,[],[f3,f16]) ).

fof(f16,axiom,
    multiplicative_identity = add(a,c),
    file('/export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958',c_and_multiplicative_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n024.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 17:36:36 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.n9xIRd1NVe/Vampire---4.8_958
% 0.59/0.74  % (1252)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)
% 0.59/0.74  % (1246)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)
% 0.59/0.74  % (1247)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)
% 0.59/0.74  % (1249)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)
% 0.59/0.74  % (1248)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (1250)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)
% 0.59/0.74  % (1251)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)
% 0.59/0.75  % (1246)Refutation not found, incomplete strategy% (1246)------------------------------
% 0.59/0.75  % (1246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (1246)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (1246)Memory used [KB]: 976
% 0.59/0.75  % (1246)Time elapsed: 0.003 s
% 0.59/0.75  % (1246)Instructions burned: 3 (million)
% 0.59/0.75  % (1246)------------------------------
% 0.59/0.75  % (1246)------------------------------
% 0.59/0.75  % (1249)Refutation not found, incomplete strategy% (1249)------------------------------
% 0.59/0.75  % (1249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (1249)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (1249)Memory used [KB]: 963
% 0.59/0.75  % (1249)Time elapsed: 0.003 s
% 0.59/0.75  % (1249)Instructions burned: 3 (million)
% 0.59/0.75  % (1249)------------------------------
% 0.59/0.75  % (1249)------------------------------
% 0.59/0.75  % (1250)Refutation not found, incomplete strategy% (1250)------------------------------
% 0.59/0.75  % (1250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (1250)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (1250)Memory used [KB]: 977
% 0.59/0.75  % (1250)Time elapsed: 0.004 s
% 0.59/0.75  % (1250)Instructions burned: 2 (million)
% 0.59/0.75  % (1250)------------------------------
% 0.59/0.75  % (1250)------------------------------
% 0.59/0.75  % (1252)First to succeed.
% 0.59/0.75  % (1253)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)
% 0.59/0.75  % (1247)Also succeeded, but the first one will report.
% 0.59/0.75  % (1252)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (1252)------------------------------
% 0.59/0.75  % (1252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (1252)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (1252)Memory used [KB]: 1091
% 0.59/0.75  % (1252)Time elapsed: 0.006 s
% 0.59/0.75  % (1252)Instructions burned: 16 (million)
% 0.59/0.75  % (1252)------------------------------
% 0.59/0.75  % (1252)------------------------------
% 0.59/0.75  % (1242)Success in time 0.379 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------