TSTP Solution File: GRP147-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP147-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n007.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 05:46:26 EDT 2024

% Result   : Unsatisfiable 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (  33 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f389,plain,
    $false,
    inference(subsumption_resolution,[],[f388,f21]) ).

fof(f21,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f18,f20,f19,f19]) ).

fof(f19,plain,
    least_upper_bound(a,b) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f20,plain,
    greatest_lower_bound(sF0,c) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f18,axiom,
    least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',prove_ax_lub1b) ).

fof(f388,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f387,f35]) ).

fof(f35,plain,
    sF0 = least_upper_bound(sF0,sF1),
    inference(superposition,[],[f10,f20]) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',lub_absorbtion) ).

fof(f387,plain,
    sF1 = least_upper_bound(sF0,sF1),
    inference(forward_demodulation,[],[f375,f227]) ).

fof(f227,plain,
    sF1 = least_upper_bound(a,sF1),
    inference(superposition,[],[f224,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',symmetry_of_lub) ).

fof(f224,plain,
    sF1 = least_upper_bound(sF1,a),
    inference(superposition,[],[f31,f221]) ).

fof(f221,plain,
    a = greatest_lower_bound(a,sF1),
    inference(forward_demodulation,[],[f215,f42]) ).

fof(f42,plain,
    a = greatest_lower_bound(a,sF0),
    inference(superposition,[],[f11,f19]) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',glb_absorbtion) ).

fof(f215,plain,
    greatest_lower_bound(a,sF0) = greatest_lower_bound(a,sF1),
    inference(superposition,[],[f52,f23]) ).

fof(f23,plain,
    sF1 = greatest_lower_bound(c,sF0),
    inference(superposition,[],[f4,f20]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',symmetry_of_glb) ).

fof(f52,plain,
    ! [X0] : greatest_lower_bound(a,greatest_lower_bound(c,X0)) = greatest_lower_bound(a,X0),
    inference(superposition,[],[f6,f16]) ).

fof(f16,axiom,
    a = greatest_lower_bound(a,c),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',ax_lub1b_1) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',associativity_of_glb) ).

fof(f31,plain,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f375,plain,
    least_upper_bound(sF0,sF1) = least_upper_bound(a,sF1),
    inference(superposition,[],[f88,f250]) ).

fof(f250,plain,
    sF1 = least_upper_bound(b,sF1),
    inference(superposition,[],[f247,f5]) ).

fof(f247,plain,
    sF1 = least_upper_bound(sF1,b),
    inference(superposition,[],[f31,f244]) ).

fof(f244,plain,
    b = greatest_lower_bound(b,sF1),
    inference(forward_demodulation,[],[f238,f145]) ).

fof(f145,plain,
    b = greatest_lower_bound(b,sF0),
    inference(superposition,[],[f39,f19]) ).

fof(f39,plain,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
    inference(superposition,[],[f11,f5]) ).

fof(f238,plain,
    greatest_lower_bound(b,sF0) = greatest_lower_bound(b,sF1),
    inference(superposition,[],[f53,f23]) ).

fof(f53,plain,
    ! [X0] : greatest_lower_bound(b,greatest_lower_bound(c,X0)) = greatest_lower_bound(b,X0),
    inference(superposition,[],[f6,f17]) ).

fof(f17,axiom,
    b = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',ax_lub1b_2) ).

fof(f88,plain,
    ! [X0] : least_upper_bound(a,least_upper_bound(b,X0)) = least_upper_bound(sF0,X0),
    inference(superposition,[],[f7,f19]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.x6m9amevQT/Vampire---4.8_10808',associativity_of_lub) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP147-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.14  % 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
% 0.15/0.34  % Computer : n007.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 20:43:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35  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.x6m9amevQT/Vampire---4.8_10808
% 0.53/0.72  % (10916)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 (2996ds/34Mi)
% 0.53/0.73  % (10919)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.73  % (10921)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.73  % (10918)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73  % (10917)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 (2996ds/51Mi)
% 0.53/0.73  % (10922)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 (2996ds/83Mi)
% 0.53/0.73  % (10920)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 (2996ds/34Mi)
% 0.53/0.73  % (10923)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 (2996ds/56Mi)
% 0.53/0.73  % (10916)Refutation not found, incomplete strategy% (10916)------------------------------
% 0.53/0.73  % (10916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (10916)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (10923)Refutation not found, incomplete strategy% (10923)------------------------------
% 0.53/0.73  % (10923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (10923)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (10923)Memory used [KB]: 970
% 0.53/0.73  % (10923)Time elapsed: 0.002 s
% 0.53/0.73  % (10923)Instructions burned: 2 (million)
% 0.53/0.73  % (10916)Memory used [KB]: 985
% 0.53/0.73  % (10916)Time elapsed: 0.002 s
% 0.53/0.73  % (10916)Instructions burned: 3 (million)
% 0.53/0.73  % (10919)Refutation not found, incomplete strategy% (10919)------------------------------
% 0.53/0.73  % (10919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (10919)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (10919)Memory used [KB]: 972
% 0.53/0.73  % (10919)Time elapsed: 0.002 s
% 0.53/0.73  % (10920)Refutation not found, incomplete strategy% (10920)------------------------------
% 0.53/0.73  % (10920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (10920)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (10920)Memory used [KB]: 985
% 0.53/0.73  % (10920)Time elapsed: 0.002 s
% 0.53/0.73  % (10920)Instructions burned: 2 (million)
% 0.53/0.73  % (10919)Instructions burned: 2 (million)
% 0.53/0.73  % (10923)------------------------------
% 0.53/0.73  % (10923)------------------------------
% 0.53/0.73  % (10916)------------------------------
% 0.53/0.73  % (10916)------------------------------
% 0.53/0.73  % (10920)------------------------------
% 0.53/0.73  % (10920)------------------------------
% 0.53/0.73  % (10919)------------------------------
% 0.53/0.73  % (10919)------------------------------
% 0.53/0.73  % (10927)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 (2996ds/52Mi)
% 0.53/0.73  % (10925)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 (2996ds/50Mi)
% 0.53/0.73  % (10924)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 (2996ds/55Mi)
% 0.53/0.73  % (10926)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 (2996ds/208Mi)
% 0.53/0.73  % (10925)Refutation not found, incomplete strategy% (10925)------------------------------
% 0.53/0.73  % (10925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (10925)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (10925)Memory used [KB]: 969
% 0.53/0.73  % (10925)Time elapsed: 0.002 s
% 0.53/0.73  % (10925)Instructions burned: 2 (million)
% 0.53/0.73  % (10925)------------------------------
% 0.53/0.73  % (10925)------------------------------
% 0.53/0.74  % (10926)First to succeed.
% 0.53/0.74  % (10926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10915"
% 0.53/0.74  % (10926)Refutation found. Thanks to Tanya!
% 0.53/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.53/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74  % (10926)------------------------------
% 0.53/0.74  % (10926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (10926)Termination reason: Refutation
% 0.53/0.74  
% 0.53/0.74  % (10926)Memory used [KB]: 1174
% 0.53/0.74  % (10926)Time elapsed: 0.012 s
% 0.53/0.74  % (10926)Instructions burned: 21 (million)
% 0.53/0.74  % (10915)Success in time 0.386 s
% 0.53/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------