TSTP Solution File: RNG003-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG003-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 08:53:15 EDT 2024

% Result   : Unsatisfiable 0.66s 0.83s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  15 unt;   0 def)
%            Number of atoms       :   38 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f732,plain,
    $false,
    inference(trivial_inequality_removal,[],[f707]) ).

fof(f707,plain,
    a != a,
    inference(superposition,[],[f20,f703]) ).

fof(f703,plain,
    a = b,
    inference(resolution,[],[f215,f233]) ).

fof(f233,plain,
    sum(d,additive_inverse(c),b),
    inference(resolution,[],[f209,f9]) ).

fof(f9,axiom,
    ! [X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | sum(X1,X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',commutativity_of_addition) ).

fof(f209,plain,
    sum(additive_inverse(c),d,b),
    inference(resolution,[],[f189,f27]) ).

fof(f27,plain,
    sum(c,b,d),
    inference(resolution,[],[f9,f19]) ).

fof(f19,axiom,
    sum(b,c,d),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',b_plus_c_is_d) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,X1,X2)
      | sum(additive_inverse(X0),X2,X1) ),
    inference(resolution,[],[f150,f5]) ).

fof(f5,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',left_inverse) ).

fof(f150,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,X3,additive_identity)
      | ~ sum(X3,X2,X1)
      | sum(X0,X1,X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',additive_identity1) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X2,X3,X5)
      | sum(X0,X4,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',associativity_of_addition1) ).

fof(f215,plain,
    ! [X0] :
      ( ~ sum(d,additive_inverse(c),X0)
      | a = X0 ),
    inference(resolution,[],[f206,f119]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X1,X0,X3)
      | X2 = X3
      | ~ sum(X0,X1,X2) ),
    inference(superposition,[],[f34,f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( add(X1,X2) = X0
      | ~ sum(X1,X2,X0) ),
    inference(resolution,[],[f16,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : sum(X0,X1,add(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',closure_of_addition) ).

fof(f16,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ sum(X0,X1,X4)
      | X2 = X4
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',addition_is_well_defined) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( add(X1,X2) = X0
      | ~ sum(X2,X1,X0) ),
    inference(resolution,[],[f16,f23]) ).

fof(f23,plain,
    ! [X0,X1] : sum(X0,X1,add(X1,X0)),
    inference(resolution,[],[f9,f4]) ).

fof(f206,plain,
    sum(additive_inverse(c),d,a),
    inference(resolution,[],[f189,f26]) ).

fof(f26,plain,
    sum(c,a,d),
    inference(resolution,[],[f9,f18]) ).

fof(f18,axiom,
    sum(a,c,d),
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',a_plus_c_is_d) ).

fof(f20,axiom,
    a != b,
    file('/export/starexec/sandbox2/tmp/tmp.DoiKrLkUw9/Vampire---4.8_23775',prove_a_equals_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % 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
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 18:15:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.11/0.32  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.DoiKrLkUw9/Vampire---4.8_23775
% 0.61/0.81  % (23890)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)
% 0.61/0.81  % (23891)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)
% 0.61/0.81  % (23889)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (23887)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)
% 0.61/0.81  % (23888)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)
% 0.61/0.81  % (23892)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)
% 0.61/0.81  % (23893)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)
% 0.61/0.81  % (23894)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)
% 0.61/0.81  % (23890)Refutation not found, incomplete strategy% (23890)------------------------------
% 0.61/0.81  % (23890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (23890)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (23890)Memory used [KB]: 977
% 0.61/0.81  % (23890)Time elapsed: 0.003 s
% 0.61/0.81  % (23890)Instructions burned: 2 (million)
% 0.61/0.81  % (23890)------------------------------
% 0.61/0.81  % (23890)------------------------------
% 0.61/0.81  % (23893)Refutation not found, incomplete strategy% (23893)------------------------------
% 0.61/0.81  % (23893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (23893)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (23893)Memory used [KB]: 991
% 0.61/0.81  % (23893)Time elapsed: 0.004 s
% 0.61/0.81  % (23893)Instructions burned: 4 (million)
% 0.61/0.81  % (23893)------------------------------
% 0.61/0.81  % (23893)------------------------------
% 0.61/0.81  % (23895)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)
% 0.66/0.82  % (23896)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)
% 0.66/0.82  % (23895)Refutation not found, incomplete strategy% (23895)------------------------------
% 0.66/0.82  % (23895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (23895)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (23895)Memory used [KB]: 978
% 0.66/0.82  % (23895)Time elapsed: 0.003 s
% 0.66/0.82  % (23895)Instructions burned: 3 (million)
% 0.66/0.82  % (23895)------------------------------
% 0.66/0.82  % (23895)------------------------------
% 0.66/0.82  % (23897)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)
% 0.66/0.82  % (23897)Refutation not found, incomplete strategy% (23897)------------------------------
% 0.66/0.82  % (23897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (23897)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (23897)Memory used [KB]: 979
% 0.66/0.82  % (23897)Time elapsed: 0.003 s
% 0.66/0.82  % (23897)Instructions burned: 4 (million)
% 0.66/0.82  % (23897)------------------------------
% 0.66/0.82  % (23897)------------------------------
% 0.66/0.82  % (23898)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)
% 0.66/0.83  % (23887)Instruction limit reached!
% 0.66/0.83  % (23887)------------------------------
% 0.66/0.83  % (23887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (23887)Termination reason: Unknown
% 0.66/0.83  % (23887)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (23887)Memory used [KB]: 1149
% 0.66/0.83  % (23887)Time elapsed: 0.018 s
% 0.66/0.83  % (23887)Instructions burned: 34 (million)
% 0.66/0.83  % (23887)------------------------------
% 0.66/0.83  % (23887)------------------------------
% 0.66/0.83  % (23888)First to succeed.
% 0.66/0.83  % (23891)Instruction limit reached!
% 0.66/0.83  % (23891)------------------------------
% 0.66/0.83  % (23891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (23891)Termination reason: Unknown
% 0.66/0.83  % (23891)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (23891)Memory used [KB]: 1138
% 0.66/0.83  % (23891)Time elapsed: 0.018 s
% 0.66/0.83  % (23891)Instructions burned: 35 (million)
% 0.66/0.83  % (23891)------------------------------
% 0.66/0.83  % (23891)------------------------------
% 0.66/0.83  % (23888)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23885"
% 0.66/0.83  % (23888)Refutation found. Thanks to Tanya!
% 0.66/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.66/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.83  % (23888)------------------------------
% 0.66/0.83  % (23888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (23888)Termination reason: Refutation
% 0.66/0.83  
% 0.66/0.83  % (23888)Memory used [KB]: 1153
% 0.66/0.83  % (23888)Time elapsed: 0.018 s
% 0.66/0.83  % (23888)Instructions burned: 29 (million)
% 0.66/0.83  % (23885)Success in time 0.495 s
% 0.66/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------