TSTP Solution File: SCT126+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n019.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 08:59:20 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-4 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f741,plain,
    $false,
    inference(subsumption_resolution,[],[f731,f628]) ).

fof(f628,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
    file('/export/starexec/sandbox/tmp/tmp.3qsNatPBJL/Vampire---4.8_32671',fact_assms_I1_J) ).

fof(f731,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
    inference(resolution,[],[f720,f640]) ).

fof(f640,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    file('/export/starexec/sandbox/tmp/tmp.3qsNatPBJL/Vampire---4.8_32671',fact__096Q_A_058_AProf_096) ).

fof(f720,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X0),v_Q____),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),X0,c_Arrow__Order__Mirabelle_OLin)))) ),
    inference(resolution,[],[f627,f657]) ).

fof(f657,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1)))) ),
    inference(cnf_transformation,[],[f582]) ).

fof(f582,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1)))) ),
    inference(flattening,[],[f581]) ).

fof(f581,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1)))) ),
    inference(ennf_transformation,[],[f544]) ).

fof(f544,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1))))
     => ( hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
       => hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1)) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X3,X7,X8,X1,X18,X6] :
      ( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X18)),X1),c_FuncSet_OPi(X6,X18,X8,c_COMBK(tc_fun(X18,tc_HOL_Obool),X6,X7))))
     => ( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
       => hBOOL(hAPP(hAPP(c_member(X18),hAPP(X1,X3)),X7)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3qsNatPBJL/Vampire---4.8_32671',fact_funcset__mem) ).

fof(f627,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    inference(cnf_transformation,[],[f527]) ).

fof(f527,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    inference(flattening,[],[f526]) ).

fof(f526,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    inference(negated_conjecture,[],[f525]) ).

fof(f525,conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/tmp.3qsNatPBJL/Vampire---4.8_32671',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15  % 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
% 0.16/0.36  % Computer : n019.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 13:04:44 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.3qsNatPBJL/Vampire---4.8_32671
% 0.62/0.76  % (472)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)
% 0.62/0.77  % (466)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)
% 0.62/0.77  % (467)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)
% 0.62/0.77  % (469)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)
% 0.62/0.77  % (468)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.77  % (470)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)
% 0.62/0.77  % (473)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)
% 0.62/0.78  % (473)First to succeed.
% 0.62/0.78  % (473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-462"
% 0.62/0.78  % (473)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (473)------------------------------
% 0.62/0.78  % (473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (473)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (473)Memory used [KB]: 1629
% 0.62/0.78  % (473)Time elapsed: 0.010 s
% 0.62/0.78  % (473)Instructions burned: 14 (million)
% 0.62/0.78  % (462)Success in time 0.398 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------