TSTP Solution File: COL033-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL033-1 : 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 : n016.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 19:05:05 EDT 2024

% Result   : Unsatisfiable 0.11s 0.58s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            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 :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(trivial_inequality_removal,[],[f63]) ).

fof(f63,plain,
    apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l)))),
    inference(superposition,[],[f19,f6]) ).

fof(f6,plain,
    ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0))),
    inference(superposition,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

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

fof(f19,plain,
    ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
    inference(superposition,[],[f4,f1]) ).

fof(f1,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(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : COL033-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.08  % 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
% 0.07/0.26  % Computer : n016.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Sat May 18 13:01:07 EDT 2024
% 0.07/0.26  % CPUTime    : 
% 0.07/0.26  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.07/0.27  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
% 0.11/0.57  % (21812)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)
% 0.11/0.57  % (21812)Refutation not found, incomplete strategy% (21812)------------------------------
% 0.11/0.57  % (21812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21812)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21812)Memory used [KB]: 947
% 0.11/0.57  % (21812)Time elapsed: 0.001 s
% 0.11/0.57  % (21812)Instructions burned: 2 (million)
% 0.11/0.57  % (21812)------------------------------
% 0.11/0.57  % (21812)------------------------------
% 0.11/0.57  % (21807)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.11/0.57  % (21805)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)
% 0.11/0.57  % (21809)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)
% 0.11/0.57  % (21806)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)
% 0.11/0.57  % (21810)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)
% 0.11/0.57  % (21808)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)
% 0.11/0.57  % (21811)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)
% 0.11/0.57  % (21810)Refutation not found, incomplete strategy% (21810)------------------------------
% 0.11/0.57  % (21810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21810)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21810)Memory used [KB]: 946
% 0.11/0.57  % (21805)Refutation not found, incomplete strategy% (21805)------------------------------
% 0.11/0.57  % (21805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21810)Time elapsed: 0.002 s
% 0.11/0.57  % (21810)Instructions burned: 2 (million)
% 0.11/0.57  % (21808)Refutation not found, incomplete strategy% (21808)------------------------------
% 0.11/0.57  % (21808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21808)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21808)Memory used [KB]: 946
% 0.11/0.57  % (21808)Time elapsed: 0.002 s
% 0.11/0.57  % (21808)Instructions burned: 2 (million)
% 0.11/0.57  % (21809)Refutation not found, incomplete strategy% (21809)------------------------------
% 0.11/0.57  % (21809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21809)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21809)Memory used [KB]: 962
% 0.11/0.57  % (21809)Time elapsed: 0.002 s
% 0.11/0.57  % (21809)Instructions burned: 2 (million)
% 0.11/0.57  % (21805)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21805)Memory used [KB]: 962
% 0.11/0.57  % (21805)Time elapsed: 0.002 s
% 0.11/0.57  % (21805)Instructions burned: 2 (million)
% 0.11/0.57  % (21811)Refutation not found, incomplete strategy% (21811)------------------------------
% 0.11/0.57  % (21811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.57  % (21811)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.57  
% 0.11/0.57  % (21810)------------------------------
% 0.11/0.57  % (21810)------------------------------
% 0.11/0.57  % (21811)Memory used [KB]: 947
% 0.11/0.57  % (21811)Time elapsed: 0.002 s
% 0.11/0.57  % (21811)Instructions burned: 2 (million)
% 0.11/0.57  % (21808)------------------------------
% 0.11/0.57  % (21808)------------------------------
% 0.11/0.57  % (21809)------------------------------
% 0.11/0.57  % (21809)------------------------------
% 0.11/0.57  % (21805)------------------------------
% 0.11/0.57  % (21805)------------------------------
% 0.11/0.57  % (21811)------------------------------
% 0.11/0.57  % (21811)------------------------------
% 0.11/0.57  % (21813)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)
% 0.11/0.57  % (21807)First to succeed.
% 0.11/0.57  % (21814)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)
% 0.11/0.57  % (21815)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)
% 0.11/0.57  % (21807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21804"
% 0.11/0.57  % (21816)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)
% 0.11/0.57  % (21817)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)
% 0.11/0.58  % (21818)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)
% 0.11/0.58  % (21814)Refutation not found, incomplete strategy% (21814)------------------------------
% 0.11/0.58  % (21814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.58  % (21807)Refutation found. Thanks to Tanya!
% 0.11/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.58  % (21807)------------------------------
% 0.11/0.58  % (21807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.58  % (21807)Termination reason: Refutation
% 0.11/0.58  
% 0.11/0.58  % (21807)Memory used [KB]: 1067
% 0.11/0.58  % (21807)Time elapsed: 0.008 s
% 0.11/0.58  % (21807)Instructions burned: 9 (million)
% 0.11/0.58  % (21804)Success in time 0.303 s
% 0.11/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------