TSTP Solution File: FLD005-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD005-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 : Wed May  1 02:19:30 EDT 2024

% Result   : Unsatisfiable 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  30   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(subsumption_resolution,[],[f300,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',a_is_defined) ).

fof(f300,plain,
    ~ defined(a),
    inference(resolution,[],[f289,f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | defined(additive_inverse(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',well_definedness_of_additive_inverse) ).

fof(f289,plain,
    ~ defined(additive_inverse(a)),
    inference(subsumption_resolution,[],[f288,f27]) ).

fof(f288,plain,
    ( ~ defined(additive_inverse(a))
    | ~ defined(a) ),
    inference(resolution,[],[f239,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',existence_of_inverse_addition) ).

fof(f239,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | ~ defined(X0) ),
    inference(subsumption_resolution,[],[f233,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',b_is_defined) ).

fof(f233,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | ~ defined(b)
      | ~ defined(X0) ),
    inference(resolution,[],[f228,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( ~ defined(X3)
      | ~ defined(X0)
      | sum(X0,X3,add(X0,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',totality_of_addition) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ sum(X0,b,X1)
      | ~ sum(X0,a,additive_identity) ),
    inference(subsumption_resolution,[],[f226,f28]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ sum(X0,b,X1)
      | ~ sum(X0,a,additive_identity)
      | ~ defined(b) ),
    inference(resolution,[],[f118,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',existence_of_identity_addition) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X3,X1,b)
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,a,X3) ),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',commutativity_addition) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(a,X3,X1)
      | ~ sum(X3,X2,X0)
      | ~ sum(X1,X2,b) ),
    inference(resolution,[],[f29,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',associativity_addition_1) ).

fof(f29,axiom,
    ! [X0] : ~ sum(a,X0,b),
    file('/export/starexec/sandbox/tmp/tmp.HjDaekwPqs/Vampire---4.8_11085',not_sum_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : FLD005-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.11  % 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
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 18:15:55 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.32  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.HjDaekwPqs/Vampire---4.8_11085
% 0.61/0.80  % (11202)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)
% 0.61/0.80  % (11200)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (11199)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)
% 0.61/0.80  % (11203)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)
% 0.61/0.80  % (11201)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)
% 0.61/0.80  % (11198)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)
% 0.61/0.80  % (11204)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)
% 0.61/0.80  % (11205)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)
% 0.61/0.80  % (11200)Refutation not found, incomplete strategy% (11200)------------------------------
% 0.61/0.80  % (11200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11200)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11200)Memory used [KB]: 976
% 0.61/0.80  % (11200)Time elapsed: 0.003 s
% 0.61/0.80  % (11200)Instructions burned: 2 (million)
% 0.61/0.80  % (11200)------------------------------
% 0.61/0.80  % (11200)------------------------------
% 0.61/0.80  % (11204)Refutation not found, incomplete strategy% (11204)------------------------------
% 0.61/0.80  % (11204)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11204)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11204)Memory used [KB]: 978
% 0.61/0.80  % (11204)Time elapsed: 0.002 s
% 0.61/0.80  % (11204)Instructions burned: 2 (million)
% 0.61/0.80  % (11204)------------------------------
% 0.61/0.80  % (11204)------------------------------
% 0.61/0.80  % (11201)Refutation not found, incomplete strategy% (11201)------------------------------
% 0.61/0.80  % (11201)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11201)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11201)Memory used [KB]: 977
% 0.61/0.80  % (11201)Time elapsed: 0.003 s
% 0.61/0.80  % (11201)Instructions burned: 2 (million)
% 0.61/0.80  % (11201)------------------------------
% 0.61/0.80  % (11201)------------------------------
% 0.61/0.80  % (11206)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  % (11207)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  % (11208)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  % (11206)Refutation not found, incomplete strategy% (11206)------------------------------
% 0.61/0.80  % (11206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11206)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11206)Memory used [KB]: 977
% 0.61/0.80  % (11206)Time elapsed: 0.002 s
% 0.61/0.80  % (11206)Instructions burned: 2 (million)
% 0.61/0.80  % (11206)------------------------------
% 0.61/0.80  % (11206)------------------------------
% 0.61/0.80  % (11208)Refutation not found, incomplete strategy% (11208)------------------------------
% 0.61/0.80  % (11208)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11208)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11208)Memory used [KB]: 980
% 0.61/0.80  % (11208)Time elapsed: 0.003 s
% 0.61/0.80  % (11208)Instructions burned: 3 (million)
% 0.61/0.80  % (11208)------------------------------
% 0.61/0.80  % (11208)------------------------------
% 0.61/0.81  % (11209)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)
% 0.61/0.81  % (11202)First to succeed.
% 0.61/0.81  % (11210)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)
% 0.61/0.81  % (11202)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (11202)------------------------------
% 0.61/0.81  % (11202)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11202)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (11202)Memory used [KB]: 1113
% 0.61/0.81  % (11202)Time elapsed: 0.012 s
% 0.61/0.81  % (11202)Instructions burned: 21 (million)
% 0.61/0.81  % (11202)------------------------------
% 0.61/0.81  % (11202)------------------------------
% 0.61/0.81  % (11195)Success in time 0.483 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------