TSTP Solution File: LCL045-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL045-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 07:32:52 EDT 2024

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  22 unt;   0 def)
%            Number of atoms       :   42 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1222,plain,
    $false,
    inference(subsumption_resolution,[],[f1221,f13]) ).

fof(f13,plain,
    ~ is_a_theorem(sF4),
    inference(definition_folding,[],[f7,f12,f11,f10,f9,f8]) ).

fof(f8,plain,
    implies(a,b) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f9,plain,
    not(b) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f10,plain,
    not(a) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f11,plain,
    implies(sF1,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f12,plain,
    implies(sF0,sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',prove_cn_46) ).

fof(f1221,plain,
    is_a_theorem(sF4),
    inference(subsumption_resolution,[],[f1192,f421]) ).

fof(f421,plain,
    is_a_theorem(implies(a,sF4)),
    inference(subsumption_resolution,[],[f417,f82]) ).

fof(f82,plain,
    is_a_theorem(implies(b,sF3)),
    inference(superposition,[],[f17,f11]) ).

fof(f17,plain,
    ! [X0] : is_a_theorem(implies(b,implies(sF1,X0))),
    inference(superposition,[],[f2,f9]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',cn_3) ).

fof(f417,plain,
    ( ~ is_a_theorem(implies(b,sF3))
    | is_a_theorem(implies(a,sF4)) ),
    inference(resolution,[],[f166,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF0,implies(X0,sF3)))
      | is_a_theorem(implies(X0,sF4)) ),
    inference(resolution,[],[f67,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',condensed_detachment) ).

fof(f67,plain,
    ! [X0] : is_a_theorem(implies(implies(sF0,implies(X0,sF3)),implies(X0,sF4))),
    inference(superposition,[],[f4,f12]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',cn_21) ).

fof(f166,plain,
    ! [X0] :
      ( is_a_theorem(implies(sF0,implies(a,X0)))
      | ~ is_a_theorem(implies(b,X0)) ),
    inference(resolution,[],[f75,f1]) ).

fof(f75,plain,
    ! [X0] : is_a_theorem(implies(implies(b,X0),implies(sF0,implies(a,X0)))),
    inference(superposition,[],[f5,f8]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',cn_22) ).

fof(f1192,plain,
    ( ~ is_a_theorem(implies(a,sF4))
    | is_a_theorem(sF4) ),
    inference(resolution,[],[f215,f446]) ).

fof(f446,plain,
    is_a_theorem(implies(sF2,sF4)),
    inference(resolution,[],[f411,f15]) ).

fof(f15,plain,
    is_a_theorem(implies(sF2,sF3)),
    inference(superposition,[],[f3,f11]) ).

fof(f3,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',cn_18) ).

fof(f411,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,sF3))
      | is_a_theorem(implies(X0,sF4)) ),
    inference(resolution,[],[f157,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f3]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF2,X0))
      | ~ is_a_theorem(implies(a,X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f136,f1]) ).

fof(f136,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(sF2,X0),X0))
      | ~ is_a_theorem(implies(a,X0)) ),
    inference(resolution,[],[f59,f1]) ).

fof(f59,plain,
    ! [X0] : is_a_theorem(implies(implies(a,X0),implies(implies(sF2,X0),X0))),
    inference(superposition,[],[f6,f10]) ).

fof(f6,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769',cn_54) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : LCL045-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 13:59:21 EDT 2024
% 0.17/0.32  % CPUTime    : 
% 0.17/0.33  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.17/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.QFhAtfidcQ/Vampire---4.8_2769
% 0.60/0.79  % (2879)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (2880)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)
% 0.60/0.79  % (2877)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)
% 0.60/0.79  % (2881)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)
% 0.60/0.79  % (2878)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)
% 0.60/0.79  % (2883)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)
% 0.60/0.79  % (2882)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)
% 0.60/0.79  % (2884)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)
% 0.60/0.79  % (2882)Refutation not found, incomplete strategy% (2882)------------------------------
% 0.60/0.79  % (2882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (2881)Refutation not found, incomplete strategy% (2881)------------------------------
% 0.60/0.79  % (2881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (2881)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (2881)Memory used [KB]: 961
% 0.60/0.79  % (2881)Time elapsed: 0.002 s
% 0.60/0.79  % (2881)Instructions burned: 2 (million)
% 0.60/0.79  % (2882)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (2882)Memory used [KB]: 960
% 0.60/0.79  % (2882)Time elapsed: 0.002 s
% 0.60/0.79  % (2882)Instructions burned: 2 (million)
% 0.60/0.79  % (2884)Refutation not found, incomplete strategy% (2884)------------------------------
% 0.60/0.79  % (2884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (2884)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  % (2881)------------------------------
% 0.60/0.79  % (2881)------------------------------
% 0.60/0.79  
% 0.60/0.79  % (2884)Memory used [KB]: 960
% 0.60/0.79  % (2884)Time elapsed: 0.002 s
% 0.60/0.79  % (2884)Instructions burned: 2 (million)
% 0.60/0.79  % (2882)------------------------------
% 0.60/0.79  % (2882)------------------------------
% 0.60/0.79  % (2884)------------------------------
% 0.60/0.79  % (2884)------------------------------
% 0.60/0.80  % (2886)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)
% 0.60/0.80  % (2885)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)
% 0.60/0.80  % (2887)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)
% 0.60/0.81  % (2880)Instruction limit reached!
% 0.60/0.81  % (2880)------------------------------
% 0.60/0.81  % (2880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (2880)Termination reason: Unknown
% 0.60/0.81  % (2880)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (2880)Memory used [KB]: 1386
% 0.60/0.81  % (2880)Time elapsed: 0.038 s
% 0.60/0.81  % (2880)Instructions burned: 33 (million)
% 0.60/0.81  % (2880)------------------------------
% 0.60/0.81  % (2880)------------------------------
% 0.60/0.81  % (2877)Instruction limit reached!
% 0.60/0.81  % (2877)------------------------------
% 0.60/0.81  % (2877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (2877)Termination reason: Unknown
% 0.60/0.81  % (2877)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (2877)Memory used [KB]: 1212
% 0.60/0.81  % (2877)Time elapsed: 0.041 s
% 0.60/0.81  % (2877)Instructions burned: 35 (million)
% 0.60/0.81  % (2877)------------------------------
% 0.60/0.81  % (2877)------------------------------
% 0.60/0.81  % (2888)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)
% 0.60/0.81  % (2889)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)
% 0.60/0.81  % (2889)Refutation not found, incomplete strategy% (2889)------------------------------
% 0.60/0.81  % (2889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (2889)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (2889)Memory used [KB]: 962
% 0.60/0.81  % (2889)Time elapsed: 0.002 s
% 0.60/0.81  % (2889)Instructions burned: 2 (million)
% 0.60/0.81  % (2889)------------------------------
% 0.60/0.81  % (2889)------------------------------
% 0.60/0.82  % (2878)Instruction limit reached!
% 0.60/0.82  % (2878)------------------------------
% 0.60/0.82  % (2878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (2878)Termination reason: Unknown
% 0.60/0.82  % (2878)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (2878)Memory used [KB]: 1293
% 0.60/0.82  % (2878)Time elapsed: 0.049 s
% 0.60/0.82  % (2878)Instructions burned: 51 (million)
% 0.60/0.82  % (2878)------------------------------
% 0.60/0.82  % (2878)------------------------------
% 0.60/0.82  % (2890)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 Vampire---4 for (2995ds/42Mi)
% 0.60/0.82  % (2891)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 Vampire---4 for (2995ds/243Mi)
% 0.60/0.82  % (2886)Instruction limit reached!
% 0.60/0.82  % (2886)------------------------------
% 0.60/0.82  % (2886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (2886)Termination reason: Unknown
% 0.60/0.82  % (2886)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (2886)Memory used [KB]: 1412
% 0.60/0.82  % (2886)Time elapsed: 0.026 s
% 0.60/0.82  % (2886)Instructions burned: 51 (million)
% 0.60/0.82  % (2886)------------------------------
% 0.60/0.82  % (2886)------------------------------
% 0.60/0.82  % (2890)Refutation not found, incomplete strategy% (2890)------------------------------
% 0.60/0.82  % (2890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (2890)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (2890)Memory used [KB]: 960
% 0.60/0.82  % (2890)Time elapsed: 0.002 s
% 0.60/0.82  % (2890)Instructions burned: 2 (million)
% 0.60/0.82  % (2890)------------------------------
% 0.60/0.82  % (2890)------------------------------
% 0.60/0.82  % (2885)Instruction limit reached!
% 0.60/0.82  % (2885)------------------------------
% 0.60/0.82  % (2885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (2885)Termination reason: Unknown
% 0.60/0.82  % (2885)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (2885)Memory used [KB]: 1784
% 0.60/0.82  % (2885)Time elapsed: 0.050 s
% 0.60/0.82  % (2885)Instructions burned: 56 (million)
% 0.60/0.82  % (2885)------------------------------
% 0.60/0.82  % (2885)------------------------------
% 0.60/0.82  % (2892)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.83  % (2893)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.83  % (2894)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.83  % (2887)First to succeed.
% 0.60/0.83  % (2887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2876"
% 0.60/0.83  % (2887)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (2887)------------------------------
% 0.60/0.83  % (2887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (2887)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (2887)Memory used [KB]: 1415
% 0.60/0.83  % (2887)Time elapsed: 0.031 s
% 0.60/0.83  % (2887)Instructions burned: 57 (million)
% 0.60/0.83  % (2876)Success in time 0.491 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------