TSTP Solution File: COL002-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL002-1 : TPTP v8.2.0. 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 : n022.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 19:04:48 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f173,plain,
    $false,
    inference(equality_resolution,[],[f129]) ).

fof(f129,plain,
    ! [X0] : apply(X0,X0) != apply(apply(apply(s,apply(b,fixed_pt)),i),X0),
    inference(superposition,[],[f5,f78]) ).

fof(f78,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(s,apply(b,X0)),i),X1),
    inference(superposition,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

fof(f12,plain,
    ! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : apply(i,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).

fof(f5,axiom,
    ! [X1] : apply(fixed_pt,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : COL002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.11  % 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
% 0.10/0.30  % Computer : n022.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 13:21:07 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.31  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
% 0.62/0.79  % (28919)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.79  % (28920)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 (2995ds/34Mi)
% 0.62/0.79  % (28917)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 (2995ds/51Mi)
% 0.62/0.79  % (28921)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.79  % (28922)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 (2995ds/83Mi)
% 0.62/0.79  % (28916)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 (2995ds/34Mi)
% 0.62/0.79  % (28923)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 (2995ds/56Mi)
% 0.62/0.79  % (28919)Refutation not found, incomplete strategy% (28919)------------------------------
% 0.62/0.79  % (28919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28921)Refutation not found, incomplete strategy% (28921)------------------------------
% 0.62/0.79  % (28921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28921)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28921)Memory used [KB]: 946
% 0.62/0.79  % (28921)Time elapsed: 0.002 s
% 0.62/0.79  % (28921)Instructions burned: 2 (million)
% 0.62/0.79  % (28920)Refutation not found, incomplete strategy% (28920)------------------------------
% 0.62/0.79  % (28920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28919)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  % (28920)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28920)Memory used [KB]: 963
% 0.62/0.79  % (28920)Time elapsed: 0.002 s
% 0.62/0.79  % (28920)Instructions burned: 2 (million)
% 0.62/0.79  
% 0.62/0.79  % (28919)Memory used [KB]: 946
% 0.62/0.79  % (28916)Refutation not found, incomplete strategy% (28916)------------------------------
% 0.62/0.79  % (28916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28919)Time elapsed: 0.002 s
% 0.62/0.79  % (28919)Instructions burned: 2 (million)
% 0.62/0.79  % (28916)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28916)Memory used [KB]: 963
% 0.62/0.79  % (28916)Time elapsed: 0.002 s
% 0.62/0.79  % (28916)Instructions burned: 2 (million)
% 0.62/0.79  % (28923)Refutation not found, incomplete strategy% (28923)------------------------------
% 0.62/0.79  % (28923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28923)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28923)Memory used [KB]: 948
% 0.62/0.79  % (28921)------------------------------
% 0.62/0.79  % (28921)------------------------------
% 0.62/0.79  % (28920)------------------------------
% 0.62/0.79  % (28920)------------------------------
% 0.62/0.79  % (28923)Time elapsed: 0.002 s
% 0.62/0.79  % (28919)------------------------------
% 0.62/0.79  % (28919)------------------------------
% 0.62/0.79  % (28923)Instructions burned: 2 (million)
% 0.62/0.79  % (28916)------------------------------
% 0.62/0.79  % (28916)------------------------------
% 0.62/0.79  % (28923)------------------------------
% 0.62/0.79  % (28923)------------------------------
% 0.62/0.79  % (28918)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.79  % (28922)Refutation not found, incomplete strategy% (28922)------------------------------
% 0.62/0.79  % (28922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28922)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28922)Memory used [KB]: 947
% 0.62/0.79  % (28922)Time elapsed: 0.003 s
% 0.62/0.79  % (28922)Instructions burned: 2 (million)
% 0.62/0.79  % (28922)------------------------------
% 0.62/0.79  % (28922)------------------------------
% 0.62/0.79  % (28924)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 (2995ds/55Mi)
% 0.62/0.79  % (28926)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 (2995ds/208Mi)
% 0.62/0.79  % (28925)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 (2995ds/50Mi)
% 0.62/0.79  % (28927)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 (2995ds/52Mi)
% 0.62/0.79  % (28928)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 (2995ds/518Mi)
% 0.62/0.79  % (28926)Refutation not found, incomplete strategy% (28926)------------------------------
% 0.62/0.79  % (28926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28926)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28926)Memory used [KB]: 946
% 0.62/0.79  % (28926)Time elapsed: 0.002 s
% 0.62/0.79  % (28926)Instructions burned: 2 (million)
% 0.62/0.79  % (28925)Refutation not found, incomplete strategy% (28925)------------------------------
% 0.62/0.79  % (28925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28925)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28925)Memory used [KB]: 948
% 0.62/0.79  % (28925)Time elapsed: 0.002 s
% 0.62/0.79  % (28925)Instructions burned: 2 (million)
% 0.62/0.79  % (28929)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 (2995ds/42Mi)
% 0.62/0.79  % (28925)------------------------------
% 0.62/0.79  % (28925)------------------------------
% 0.62/0.79  % (28926)------------------------------
% 0.62/0.79  % (28926)------------------------------
% 0.62/0.79  % (28928)Refutation not found, incomplete strategy% (28928)------------------------------
% 0.62/0.79  % (28928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28928)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28928)Memory used [KB]: 950
% 0.62/0.79  % (28928)Time elapsed: 0.002 s
% 0.62/0.79  % (28928)Instructions burned: 2 (million)
% 0.62/0.79  % (28928)------------------------------
% 0.62/0.79  % (28928)------------------------------
% 0.62/0.79  % (28929)Refutation not found, incomplete strategy% (28929)------------------------------
% 0.62/0.79  % (28929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (28929)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (28929)Memory used [KB]: 963
% 0.62/0.79  % (28929)Time elapsed: 0.002 s
% 0.62/0.79  % (28929)Instructions burned: 2 (million)
% 0.62/0.79  % (28929)------------------------------
% 0.62/0.79  % (28929)------------------------------
% 0.62/0.79  % (28917)First to succeed.
% 0.62/0.79  % (28917)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28913"
% 0.62/0.79  % (28931)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.80  % (28930)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 (2995ds/243Mi)
% 0.62/0.80  % (28917)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.62/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.80  % (28917)------------------------------
% 0.62/0.80  % (28917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (28917)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (28917)Memory used [KB]: 1156
% 0.62/0.80  % (28917)Time elapsed: 0.010 s
% 0.62/0.80  % (28917)Instructions burned: 16 (million)
% 0.62/0.80  % (28913)Success in time 0.482 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------