TSTP Solution File: CSR038+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR038+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 04:57:53 EDT 2024

% Result   : Theorem 4.11s 0.96s
% Output   : Refutation 4.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   46 (  18   ~;  13   |;   6   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   34 (  31   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80938,plain,
    $false,
    inference(subsumption_resolution,[],[f80933,f61931]) ).

fof(f61931,plain,
    ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
    inference(resolution,[],[f12079,f2687]) ).

fof(f2687,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f1889]) ).

fof(f1889,plain,
    ! [X0] :
      ( ( ~ tptpcol_16_7738(X0)
        | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
      & mtvisible(c_knowledgefragmentd3mt) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X0)
          & tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(rectify,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ? [X12] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X12)
          & tptp_8_968(X12,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ? [X12] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptpcol_16_7738(X12)
        & tptp_8_968(X12,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88) ).

fof(f12079,plain,
    tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(resolution,[],[f3556,f2952]) ).

fof(f2952,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_134) ).

fof(f3556,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(cnf_transformation,[],[f2479]) ).

fof(f2479,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(ennf_transformation,[],[f1567]) ).

fof(f1567,plain,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(rectify,[],[f244]) ).

fof(f244,axiom,
    ! [X6] :
      ( isa(X6,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X6,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_244) ).

fof(f80933,plain,
    tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
    inference(resolution,[],[f62199,f3417]) ).

fof(f3417,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f2340]) ).

fof(f2340,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(ennf_transformation,[],[f1428]) ).

fof(f1428,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_7738)
     => tptpcol_16_7738(X0) ),
    inference(rectify,[],[f673]) ).

fof(f673,axiom,
    ! [X12] :
      ( isa(X12,c_tptpcol_16_7738)
     => tptpcol_16_7738(X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_673) ).

fof(f62199,plain,
    isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
    inference(resolution,[],[f12018,f2952]) ).

fof(f12018,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(resolution,[],[f3726,f2961]) ).

fof(f2961,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_245) ).

fof(f3726,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relationexistsall(X2,X3,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f2685]) ).

fof(f2685,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(flattening,[],[f2684]) ).

fof(f2684,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f1796]) ).

fof(f1796,plain,
    ! [X0,X1,X2,X3] :
      ( ( relationexistsall(X2,X3,X1)
        & isa(X0,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X6,X7,X2,X8] :
      ( ( relationexistsall(X2,X8,X7)
        & isa(X6,X7) )
     => isa(f_relationexistsallfn(X6,X2,X8,X7),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_64) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR038+2 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:16:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (30963)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (30971)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40  % (30972)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (30973)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.40  % (30975)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40  % (30974)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40  % (30976)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40  % (30977)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.42  TRYING [1]
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [2]
% 0.21/0.44  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.21/0.44  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.21/0.44  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.45  TRYING [3]
% 0.21/0.46  TRYING [3]
% 0.21/0.46  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.46  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.50  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.50  TRYING [4]
% 0.21/0.50  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.51  TRYING [4]
% 0.21/0.54  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.55  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.38/0.57  TRYING [5]
% 1.52/0.59  TRYING [5]
% 1.88/0.64  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.00/0.69  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.46/0.74  TRYING [6]
% 2.83/0.80  TRYING [6]
% 2.83/0.82  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.44/0.88  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.11/0.96  % (30975)First to succeed.
% 4.11/0.96  % (30975)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30963"
% 4.11/0.96  % (30975)Refutation found. Thanks to Tanya!
% 4.11/0.96  % SZS status Theorem for theBenchmark
% 4.11/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 4.11/0.96  % (30975)------------------------------
% 4.11/0.96  % (30975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.11/0.96  % (30975)Termination reason: Refutation
% 4.11/0.96  
% 4.11/0.96  % (30975)Memory used [KB]: 13876
% 4.11/0.96  % (30975)Time elapsed: 0.562 s
% 4.11/0.96  % (30975)Instructions burned: 1711 (million)
% 4.11/0.96  % (30963)Success in time 0.592 s
%------------------------------------------------------------------------------