TSTP Solution File: SCT024-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n015.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 : Tue May 21 02:48:21 EDT 2024

% Result   : Unsatisfiable 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   23 (   2 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f831,plain,
    $false,
    inference(subsumption_resolution,[],[f823,f758]) ).

fof(f758,plain,
    ! [X0,X1] : ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(unit_resulting_resolution,[],[f680,f672]) ).

fof(f672,axiom,
    ! [X2,X0,X1] :
      ( ~ c_Relation_Oirrefl(X2,X0)
      | ~ hBOOL(c_in(c_Pair(X1,X1,X0,X0),X2,tc_prod(X0,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

fof(f680,axiom,
    ! [X1] : c_Relation_Oirrefl(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f823,plain,
    hBOOL(c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(backward_demodulation,[],[f682,f822]) ).

fof(f822,plain,
    v_a = v_b,
    inference(unit_resulting_resolution,[],[f680,f679,f681,f683,f745,f687]) ).

fof(f687,axiom,
    ! [X9,X15,X5] :
      ( X5 = X9
      | ~ c_Relation_Oirrefl(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
      | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
      | ~ c_Relation_Otrans(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
      | ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X15,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X15),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f745,plain,
    ! [X0] : hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),X0)),
    inference(unit_resulting_resolution,[],[f744,f677]) ).

fof(f677,axiom,
    ! [X0,X1,X13] :
      ( hBOOL(c_in(X1,X13,X0))
      | ~ hBOOL(hAPP(X13,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f744,plain,
    hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(unit_resulting_resolution,[],[f682,f678]) ).

fof(f678,axiom,
    ! [X0,X1,X13] :
      ( hBOOL(hAPP(X13,X1))
      | ~ hBOOL(c_in(X1,X13,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f683,axiom,
    ~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f681,axiom,
    ! [X1] : c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f679,axiom,
    ! [X1] : c_Relation_Otrans(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f682,axiom,
    hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.15  % 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
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 00:24:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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
% 0.63/0.78  % (9410)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)
% 0.63/0.78  % (9412)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)
% 0.63/0.78  % (9407)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.63/0.78  % (9406)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)
% 0.63/0.78  % (9408)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)
% 0.63/0.78  % (9409)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)
% 0.63/0.78  % (9405)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)
% 0.63/0.78  % (9411)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)
% 0.63/0.79  % (9408)First to succeed.
% 0.63/0.79  % (9408)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9404"
% 0.63/0.79  % (9410)Instruction limit reached!
% 0.63/0.79  % (9410)------------------------------
% 0.63/0.79  % (9410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (9410)Termination reason: Unknown
% 0.63/0.79  % (9410)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (9410)Memory used [KB]: 2125
% 0.63/0.79  % (9410)Time elapsed: 0.015 s
% 0.63/0.79  % (9410)Instructions burned: 47 (million)
% 0.63/0.79  % (9410)------------------------------
% 0.63/0.79  % (9410)------------------------------
% 0.63/0.80  % (9408)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.63/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.80  % (9408)------------------------------
% 0.63/0.80  % (9408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (9408)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (9408)Memory used [KB]: 1599
% 0.63/0.80  % (9408)Time elapsed: 0.012 s
% 0.63/0.80  % (9408)Instructions burned: 17 (million)
% 0.63/0.80  % (9404)Success in time 0.412 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------