TSTP Solution File: CSR038+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR038+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 15:58:45 EDT 2022

% Result   : Theorem 1.79s 0.64s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   56 (  24   ~;  17   |;   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   :   40 (  37   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3843,plain,
    $false,
    inference(subsumption_resolution,[],[f3842,f3263]) ).

fof(f3263,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(f3842,plain,
    ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(subsumption_resolution,[],[f3839,f3096]) ).

fof(f3096,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(f3839,plain,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(resolution,[],[f3831,f3828]) ).

fof(f3828,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,[],[f3816,f3509]) ).

fof(f3509,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f2182]) ).

fof(f2182,plain,
    ! [X0] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptpcol_16_7738(X0)
        | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(ennf_transformation,[],[f1535]) ).

fof(f1535,plain,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X0) ) ),
    inference(rectify,[],[f1133]) ).

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

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

fof(f3816,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,[],[f3136,f3263]) ).

fof(f3136,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,[],[f2492]) ).

fof(f2492,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(ennf_transformation,[],[f1485]) ).

fof(f1485,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(f3831,plain,
    ! [X2,X0,X1] :
      ( tptpcol_16_7738(f_relationexistsallfn(X2,X0,c_tptpcol_16_7738,X1))
      | ~ relationexistsall(X0,c_tptpcol_16_7738,X1)
      | ~ isa(X2,X1) ),
    inference(resolution,[],[f3313,f3784]) ).

fof(f3784,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f2443]) ).

fof(f2443,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(ennf_transformation,[],[f1246]) ).

fof(f1246,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(f3313,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationexistsallfn(X3,X0,X1,X2),X1)
      | ~ relationexistsall(X0,X1,X2)
      | ~ isa(X3,X2) ),
    inference(cnf_transformation,[],[f2731]) ).

fof(f2731,plain,
    ! [X0,X1,X2,X3] :
      ( ~ isa(X3,X2)
      | ~ relationexistsall(X0,X1,X2)
      | isa(f_relationexistsallfn(X3,X0,X1,X2),X1) ),
    inference(rectify,[],[f2590]) ).

fof(f2590,plain,
    ! [X2,X1,X0,X3] :
      ( ~ isa(X3,X0)
      | ~ relationexistsall(X2,X1,X0)
      | isa(f_relationexistsallfn(X3,X2,X1,X0),X1) ),
    inference(flattening,[],[f2589]) ).

fof(f2589,plain,
    ! [X2,X0,X3,X1] :
      ( isa(f_relationexistsallfn(X3,X2,X1,X0),X1)
      | ~ relationexistsall(X2,X1,X0)
      | ~ isa(X3,X0) ),
    inference(ennf_transformation,[],[f1459]) ).

fof(f1459,plain,
    ! [X2,X0,X3,X1] :
      ( ( relationexistsall(X2,X1,X0)
        & isa(X3,X0) )
     => isa(f_relationexistsallfn(X3,X2,X1,X0),X1) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X7,X8,X2,X6] :
      ( ( 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
% 0.07/0.12  % Problem    : CSR038+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 17:42:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (29898)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.49  % (29882)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (29882)Instruction limit reached!
% 0.20/0.50  % (29882)------------------------------
% 0.20/0.50  % (29882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (29882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (29882)Termination reason: Unknown
% 0.20/0.50  % (29882)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (29882)Memory used [KB]: 2558
% 0.20/0.50  % (29882)Time elapsed: 0.009 s
% 0.20/0.50  % (29882)Instructions burned: 8 (million)
% 0.20/0.50  % (29882)------------------------------
% 0.20/0.50  % (29882)------------------------------
% 0.20/0.53  % (29875)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (29877)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (29893)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (29901)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (29883)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (29883)Instruction limit reached!
% 0.20/0.55  % (29883)------------------------------
% 0.20/0.55  % (29883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29883)Termination reason: Unknown
% 0.20/0.55  % (29883)Termination phase: shuffling
% 0.20/0.55  
% 0.20/0.55  % (29883)Memory used [KB]: 1791
% 0.20/0.55  % (29883)Time elapsed: 0.002 s
% 0.20/0.55  % (29883)Instructions burned: 2 (million)
% 0.20/0.55  % (29883)------------------------------
% 0.20/0.55  % (29883)------------------------------
% 0.20/0.55  % (29876)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (29884)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (29880)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56  % (29879)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (29881)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (29886)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (29885)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (29887)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  % (29889)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.57  % (29890)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57  % (29878)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (29904)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.57  % (29891)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (29892)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57  % (29895)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.58  % (29897)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58  % (29899)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58  % (29902)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.58  % (29903)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58  % (29900)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.58  % (29888)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.58  % (29896)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.58/0.58  % (29969)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.58/0.59  % (29894)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.79/0.61  % (29877)First to succeed.
% 1.79/0.64  % (29877)Refutation found. Thanks to Tanya!
% 1.79/0.64  % SZS status Theorem for theBenchmark
% 1.79/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.64  % (29877)------------------------------
% 1.79/0.64  % (29877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64  % (29877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64  % (29877)Termination reason: Refutation
% 1.79/0.64  
% 1.79/0.64  % (29877)Memory used [KB]: 3198
% 1.79/0.64  % (29877)Time elapsed: 0.185 s
% 1.79/0.64  % (29877)Instructions burned: 35 (million)
% 1.79/0.64  % (29877)------------------------------
% 1.79/0.64  % (29877)------------------------------
% 1.79/0.64  % (29858)Success in time 0.277 s
%------------------------------------------------------------------------------