TSTP Solution File: BOO003-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO003-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 04:41:38 EDT 2024

% Result   : Unsatisfiable 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   32 (   3 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1134,plain,
    $false,
    inference(resolution,[],[f1071,f23]) ).

fof(f23,axiom,
    ~ product(x,x,x),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',prove_both_equalities) ).

fof(f1071,plain,
    ! [X0] : product(X0,X0,X0),
    inference(superposition,[],[f28,f1038]) ).

fof(f1038,plain,
    ! [X0] : multiply(X0,X0) = X0,
    inference(resolution,[],[f1024,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ sum(X1,additive_identity,X0)
      | X0 = X1 ),
    inference(resolution,[],[f21,f6]) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',additive_identity2) ).

fof(f21,axiom,
    ! [X0,X1,X8,X7] :
      ( ~ sum(X0,X1,X8)
      | X7 = X8
      | ~ sum(X0,X1,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',addition_is_well_defined) ).

fof(f1024,plain,
    ! [X0] : sum(multiply(X0,X0),additive_identity,X0),
    inference(resolution,[],[f1005,f18]) ).

fof(f18,axiom,
    ! [X0] : sum(X0,inverse(X0),multiplicative_identity),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',additive_inverse2) ).

fof(f1005,plain,
    ! [X0,X1] :
      ( ~ sum(X1,inverse(X0),multiplicative_identity)
      | sum(multiply(X0,X1),additive_identity,X0) ),
    inference(resolution,[],[f409,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',closure_of_multiplication) ).

fof(f409,plain,
    ! [X2,X0,X1] :
      ( ~ product(X1,X0,X2)
      | sum(X2,additive_identity,X1)
      | ~ sum(X0,inverse(X1),multiplicative_identity) ),
    inference(resolution,[],[f193,f20]) ).

fof(f20,axiom,
    ! [X0] : product(X0,inverse(X0),additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',multiplicative_inverse2) ).

fof(f193,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(X2,X4,X1)
      | ~ sum(X3,X4,multiplicative_identity)
      | sum(X0,X1,X2)
      | ~ product(X2,X3,X0) ),
    inference(resolution,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X0] : product(X0,multiplicative_identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',multiplicative_identity2) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X0,X5,X6)
      | sum(X3,X4,X6)
      | ~ sum(X1,X2,X5)
      | ~ product(X0,X2,X4)
      | ~ product(X0,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',distributivity1) ).

fof(f28,plain,
    ! [X0,X1] : product(X0,X1,multiply(X1,X0)),
    inference(resolution,[],[f4,f2]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X1,X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.yQq2Y6Db0A/Vampire---4.8_8978',commutativity_of_multiplication) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : BOO003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % 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
% 0.14/0.36  % Computer : n005.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 18:49:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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.yQq2Y6Db0A/Vampire---4.8_8978
% 0.57/0.76  % (9236)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)
% 0.57/0.76  % (9229)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)
% 0.57/0.76  % (9230)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)
% 0.57/0.76  % (9236)Refutation not found, incomplete strategy% (9236)------------------------------
% 0.57/0.76  % (9236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9236)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  % (9232)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (9233)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)
% 0.57/0.76  
% 0.57/0.76  % (9236)Memory used [KB]: 989
% 0.57/0.76  % (9236)Time elapsed: 0.002 s
% 0.57/0.76  % (9236)Instructions burned: 3 (million)
% 0.57/0.76  % (9234)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)
% 0.57/0.76  % (9235)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)
% 0.57/0.76  % (9236)------------------------------
% 0.57/0.76  % (9236)------------------------------
% 0.57/0.76  % (9232)Refutation not found, incomplete strategy% (9232)------------------------------
% 0.57/0.76  % (9232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9232)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9233)Refutation not found, incomplete strategy% (9233)------------------------------
% 0.57/0.76  % (9233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9233)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9233)Memory used [KB]: 962
% 0.57/0.76  % (9233)Time elapsed: 0.002 s
% 0.57/0.76  % (9233)Instructions burned: 2 (million)
% 0.57/0.76  % (9232)Memory used [KB]: 961
% 0.57/0.76  % (9232)Time elapsed: 0.002 s
% 0.57/0.76  % (9232)Instructions burned: 2 (million)
% 0.57/0.76  % (9235)Refutation not found, incomplete strategy% (9235)------------------------------
% 0.57/0.76  % (9235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9235)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9235)Memory used [KB]: 974
% 0.57/0.76  % (9235)Time elapsed: 0.002 s
% 0.57/0.76  % (9235)Instructions burned: 2 (million)
% 0.57/0.76  % (9233)------------------------------
% 0.57/0.76  % (9233)------------------------------
% 0.57/0.76  % (9232)------------------------------
% 0.57/0.76  % (9232)------------------------------
% 0.57/0.76  % (9235)------------------------------
% 0.57/0.76  % (9235)------------------------------
% 0.57/0.76  % (9237)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)
% 0.57/0.76  % (9237)Refutation not found, incomplete strategy% (9237)------------------------------
% 0.57/0.76  % (9237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9237)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9237)Memory used [KB]: 974
% 0.57/0.76  % (9237)Time elapsed: 0.001 s
% 0.57/0.76  % (9237)Instructions burned: 2 (million)
% 0.57/0.76  % (9237)------------------------------
% 0.57/0.76  % (9237)------------------------------
% 0.57/0.76  % (9240)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)
% 0.57/0.76  % (9238)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)
% 0.57/0.76  % (9239)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)
% 0.57/0.76  % (9241)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)
% 0.57/0.76  % (9240)Refutation not found, incomplete strategy% (9240)------------------------------
% 0.57/0.76  % (9240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9240)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9240)Memory used [KB]: 973
% 0.57/0.76  % (9240)Time elapsed: 0.003 s
% 0.57/0.76  % (9240)Instructions burned: 2 (million)
% 0.57/0.76  % (9238)Refutation not found, incomplete strategy% (9238)------------------------------
% 0.57/0.76  % (9238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9242)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)
% 0.57/0.76  % (9238)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9238)Memory used [KB]: 962
% 0.57/0.76  % (9238)Time elapsed: 0.003 s
% 0.57/0.76  % (9238)Instructions burned: 2 (million)
% 0.57/0.76  % (9240)------------------------------
% 0.57/0.76  % (9240)------------------------------
% 0.57/0.77  % (9238)------------------------------
% 0.57/0.77  % (9238)------------------------------
% 0.57/0.77  % (9243)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)
% 0.57/0.77  % (9244)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)
% 0.57/0.77  % (9244)Refutation not found, incomplete strategy% (9244)------------------------------
% 0.57/0.77  % (9244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (9244)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (9244)Memory used [KB]: 979
% 0.57/0.77  % (9244)Time elapsed: 0.003 s
% 0.57/0.77  % (9244)Instructions burned: 3 (million)
% 0.57/0.77  % (9244)------------------------------
% 0.57/0.77  % (9244)------------------------------
% 0.57/0.77  % (9234)Instruction limit reached!
% 0.57/0.77  % (9234)------------------------------
% 0.57/0.77  % (9234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (9234)Termination reason: Unknown
% 0.57/0.77  % (9234)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (9234)Memory used [KB]: 1111
% 0.57/0.77  % (9234)Time elapsed: 0.017 s
% 0.57/0.77  % (9234)Instructions burned: 34 (million)
% 0.57/0.77  % (9234)------------------------------
% 0.57/0.77  % (9234)------------------------------
% 0.57/0.77  % (9229)Instruction limit reached!
% 0.57/0.77  % (9229)------------------------------
% 0.57/0.77  % (9229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (9229)Termination reason: Unknown
% 0.57/0.77  % (9229)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (9229)Memory used [KB]: 1138
% 0.57/0.77  % (9229)Time elapsed: 0.018 s
% 0.57/0.77  % (9229)Instructions burned: 36 (million)
% 0.57/0.77  % (9229)------------------------------
% 0.57/0.77  % (9229)------------------------------
% 0.57/0.78  % (9245)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.78  % (9245)Refutation not found, incomplete strategy% (9245)------------------------------
% 0.57/0.78  % (9245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (9245)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  % (9246)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.57/0.78  
% 0.57/0.78  % (9245)Memory used [KB]: 958
% 0.57/0.78  % (9245)Time elapsed: 0.003 s
% 0.57/0.78  % (9245)Instructions burned: 2 (million)
% 0.57/0.78  % (9245)------------------------------
% 0.57/0.78  % (9245)------------------------------
% 0.57/0.78  % (9247)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.57/0.78  % (9248)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.57/0.79  % (9230)First to succeed.
% 0.57/0.79  % (9230)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9225"
% 0.57/0.79  % (9230)Refutation found. Thanks to Tanya!
% 0.57/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.79  % (9230)------------------------------
% 0.57/0.79  % (9230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (9230)Termination reason: Refutation
% 0.57/0.79  
% 0.57/0.79  % (9230)Memory used [KB]: 1110
% 0.57/0.79  % (9230)Time elapsed: 0.028 s
% 0.57/0.79  % (9230)Instructions burned: 46 (million)
% 0.57/0.79  % (9225)Success in time 0.412 s
% 0.57/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------