TSTP Solution File: FLD060-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD060-4 : TPTP v8.2.0. 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 : n032.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 : Mon May 20 19:55:27 EDT 2024

% Result   : Unsatisfiable 0.40s 0.59s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  25   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,plain,
    $false,
    inference(subsumption_resolution,[],[f347,f266]) ).

fof(f266,plain,
    less_or_equal(add(a,b),v),
    inference(subsumption_resolution,[],[f265,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f265,plain,
    ( less_or_equal(add(a,b),v)
    | ~ defined(a) ),
    inference(subsumption_resolution,[],[f264,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f264,plain,
    ( less_or_equal(add(a,b),v)
    | ~ defined(b)
    | ~ defined(a) ),
    inference(resolution,[],[f213,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( ~ defined(X3)
      | ~ defined(X0)
      | sum(X0,X3,add(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_addition) ).

fof(f213,plain,
    ! [X0] :
      ( ~ sum(a,b,X0)
      | less_or_equal(X0,v) ),
    inference(resolution,[],[f66,f31]) ).

fof(f31,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,b)
      | ~ sum(X0,b,X1)
      | less_or_equal(X1,v) ),
    inference(resolution,[],[f33,f24]) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X5,X4)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

fof(f33,axiom,
    sum(b,b,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).

fof(f347,plain,
    ~ less_or_equal(add(a,b),v),
    inference(resolution,[],[f315,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ less_or_equal(u,X0)
      | ~ less_or_equal(X0,v) ),
    inference(resolution,[],[f34,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f34,axiom,
    ~ less_or_equal(u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_8) ).

fof(f315,plain,
    less_or_equal(u,add(a,b)),
    inference(subsumption_resolution,[],[f314,f27]) ).

fof(f314,plain,
    ( less_or_equal(u,add(a,b))
    | ~ defined(a) ),
    inference(subsumption_resolution,[],[f313,f28]) ).

fof(f313,plain,
    ( less_or_equal(u,add(a,b))
    | ~ defined(b)
    | ~ defined(a) ),
    inference(resolution,[],[f218,f19]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ sum(a,b,X0)
      | less_or_equal(u,X0) ),
    inference(resolution,[],[f199,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f199,plain,
    ! [X0] :
      ( ~ sum(b,a,X0)
      | less_or_equal(u,X0) ),
    inference(resolution,[],[f55,f31]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(a,X0)
      | ~ sum(X0,a,X1)
      | less_or_equal(u,X1) ),
    inference(resolution,[],[f32,f24]) ).

fof(f32,axiom,
    sum(a,a,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem    : FLD060-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sat May 18 21:34:37 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.09/0.29  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/benchmark/theBenchmark.p
% 0.40/0.57  % (1932)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.40/0.57  % (1929)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 theBenchmark for (2997ds/34Mi)
% 0.40/0.57  % (1931)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.40/0.57  % (1933)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 theBenchmark for (2997ds/34Mi)
% 0.40/0.57  % (1936)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.40/0.57  % (1934)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.40/0.57  % (1935)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 theBenchmark for (2997ds/83Mi)
% 0.40/0.57  % (1930)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 theBenchmark for (2997ds/51Mi)
% 0.40/0.58  % (1932)Instruction limit reached!
% 0.40/0.58  % (1932)------------------------------
% 0.40/0.58  % (1932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (1932)Termination reason: Unknown
% 0.40/0.58  % (1932)Termination phase: Saturation
% 0.40/0.58  
% 0.40/0.58  % (1932)Memory used [KB]: 1190
% 0.40/0.58  % (1932)Time elapsed: 0.011 s
% 0.40/0.58  % (1932)Instructions burned: 36 (million)
% 0.40/0.58  % (1932)------------------------------
% 0.40/0.58  % (1932)------------------------------
% 0.40/0.58  % (1929)Instruction limit reached!
% 0.40/0.58  % (1929)------------------------------
% 0.40/0.58  % (1929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (1929)Termination reason: Unknown
% 0.40/0.58  % (1929)Termination phase: Saturation
% 0.40/0.58  
% 0.40/0.58  % (1929)Memory used [KB]: 1231
% 0.40/0.58  % (1929)Time elapsed: 0.012 s
% 0.40/0.58  % (1929)Instructions burned: 35 (million)
% 0.40/0.58  % (1929)------------------------------
% 0.40/0.58  % (1929)------------------------------
% 0.40/0.58  % (1933)Instruction limit reached!
% 0.40/0.58  % (1933)------------------------------
% 0.40/0.58  % (1933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (1933)Termination reason: Unknown
% 0.40/0.58  % (1933)Termination phase: Saturation
% 0.40/0.58  
% 0.40/0.58  % (1933)Memory used [KB]: 1327
% 0.40/0.58  % (1933)Time elapsed: 0.012 s
% 0.40/0.58  % (1933)Instructions burned: 35 (million)
% 0.40/0.58  % (1933)------------------------------
% 0.40/0.58  % (1933)------------------------------
% 0.40/0.58  % (1937)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 theBenchmark for (2997ds/55Mi)
% 0.40/0.58  % (1934)Instruction limit reached!
% 0.40/0.58  % (1934)------------------------------
% 0.40/0.58  % (1934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (1934)Termination reason: Unknown
% 0.40/0.58  % (1934)Termination phase: Saturation
% 0.40/0.58  
% 0.40/0.58  % (1934)Memory used [KB]: 1395
% 0.40/0.58  % (1934)Time elapsed: 0.014 s
% 0.40/0.58  % (1934)Instructions burned: 46 (million)
% 0.40/0.58  % (1934)------------------------------
% 0.40/0.58  % (1934)------------------------------
% 0.40/0.58  % (1937)Refutation not found, incomplete strategy% (1937)------------------------------
% 0.40/0.58  % (1937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (1937)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.58  
% 0.40/0.58  % (1937)Memory used [KB]: 989
% 0.40/0.58  % (1937)Time elapsed: 0.001 s
% 0.40/0.58  % (1937)Instructions burned: 3 (million)
% 0.40/0.58  % (1939)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2997ds/208Mi)
% 0.40/0.58  % (1938)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 theBenchmark for (2997ds/50Mi)
% 0.40/0.58  % (1937)------------------------------
% 0.40/0.58  % (1937)------------------------------
% 0.40/0.59  % (1936)Instruction limit reached!
% 0.40/0.59  % (1936)------------------------------
% 0.40/0.59  % (1936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.59  % (1936)Termination reason: Unknown
% 0.40/0.59  % (1936)Termination phase: Saturation
% 0.40/0.59  
% 0.40/0.59  % (1936)Memory used [KB]: 1281
% 0.40/0.59  % (1936)Time elapsed: 0.016 s
% 0.40/0.59  % (1936)Instructions burned: 57 (million)
% 0.40/0.59  % (1936)------------------------------
% 0.40/0.59  % (1936)------------------------------
% 0.40/0.59  % (1940)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 theBenchmark for (2997ds/52Mi)
% 0.40/0.59  % (1941)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 theBenchmark for (2997ds/518Mi)
% 0.40/0.59  % (1942)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 theBenchmark for (2997ds/42Mi)
% 0.40/0.59  % (1930)Instruction limit reached!
% 0.40/0.59  % (1930)------------------------------
% 0.40/0.59  % (1930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.59  % (1930)Termination reason: Unknown
% 0.40/0.59  % (1930)Termination phase: Saturation
% 0.40/0.59  
% 0.40/0.59  % (1930)Memory used [KB]: 1229
% 0.40/0.59  % (1930)Time elapsed: 0.019 s
% 0.40/0.59  % (1930)Instructions burned: 53 (million)
% 0.40/0.59  % (1930)------------------------------
% 0.40/0.59  % (1930)------------------------------
% 0.40/0.59  % (1943)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 theBenchmark for (2997ds/243Mi)
% 0.40/0.59  % (1938)First to succeed.
% 0.40/0.59  % (1938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1926"
% 0.40/0.59  % (1938)Refutation found. Thanks to Tanya!
% 0.40/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.40/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.59  % (1938)------------------------------
% 0.40/0.59  % (1938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.59  % (1938)Termination reason: Refutation
% 0.40/0.59  
% 0.40/0.59  % (1938)Memory used [KB]: 1138
% 0.40/0.59  % (1938)Time elapsed: 0.009 s
% 0.40/0.59  % (1938)Instructions burned: 25 (million)
% 0.40/0.59  % (1926)Success in time 0.296 s
% 0.40/0.59  % Vampire---4.8 exiting
%------------------------------------------------------------------------------