TSTP Solution File: CSR079+4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR079+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 05:01:57 EDT 2024

% Result   : Theorem 12.61s 2.38s
% Output   : Refutation 12.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   69 (  49 unt;   0 def)
%            Number of atoms       :  136 (  25 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  118 (  51   ~;  44   |;  13   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f116913,plain,
    $false,
    inference(subsumption_resolution,[],[f116910,f103357]) ).

fof(f103357,plain,
    s__subclass(s__Reptile,s__Vertebrate),
    inference(unit_resulting_resolution,[],[f19083,f19337,f27916]) ).

fof(f27916,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X1,X2)
      | s__subclass(X0,X2)
      | ~ s__subclass(X0,X1) ),
    inference(subsumption_resolution,[],[f27915,f24841]) ).

fof(f24841,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12028]) ).

fof(f12028,plain,
    ! [X0,X1] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f8327]) ).

fof(f8327,plain,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X5,X6] :
      ( s__subclass(X5,X6)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X5,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f27915,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f27914,f24840]) ).

fof(f24840,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12028]) ).

fof(f27914,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f26718,f24840]) ).

fof(f26718,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f14711]) ).

fof(f14711,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(flattening,[],[f14710]) ).

fof(f14710,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(ennf_transformation,[],[f9718]) ).

fof(f9718,plain,
    ! [X0,X1,X2] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass)
        & s__instance(X2,s__SetOrClass) )
     => ( ( s__subclass(X1,X2)
          & s__subclass(X0,X1) )
       => s__subclass(X0,X2) ) ),
    inference(rectify,[],[f1291]) ).

fof(f1291,axiom,
    ! [X3,X4,X104] :
      ( ( s__instance(X3,s__SetOrClass)
        & s__instance(X4,s__SetOrClass)
        & s__instance(X104,s__SetOrClass) )
     => ( ( s__subclass(X4,X104)
          & s__subclass(X3,X4) )
       => s__subclass(X3,X104) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1294) ).

fof(f19337,plain,
    s__subclass(s__ColdBloodedVertebrate,s__Vertebrate),
    inference(cnf_transformation,[],[f5952]) ).

fof(f5952,axiom,
    s__subclass(s__ColdBloodedVertebrate,s__Vertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6026) ).

fof(f19083,plain,
    s__subclass(s__Reptile,s__ColdBloodedVertebrate),
    inference(cnf_transformation,[],[f6026]) ).

fof(f6026,axiom,
    s__subclass(s__Reptile,s__ColdBloodedVertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6100) ).

fof(f116910,plain,
    ~ s__subclass(s__Reptile,s__Vertebrate),
    inference(unit_resulting_resolution,[],[f19316,f116835,f27916]) ).

fof(f116835,plain,
    ~ s__subclass(s__Reptile,s__Animal),
    inference(unit_resulting_resolution,[],[f27609,f116807,f27916]) ).

fof(f116807,plain,
    ~ s__subclass(s__Class5_1,s__Animal),
    inference(unit_resulting_resolution,[],[f18875,f107162,f27916]) ).

fof(f107162,plain,
    ~ s__subclass(s__Lizard5_1,s__Animal),
    inference(unit_resulting_resolution,[],[f18443,f20246,f27918]) ).

fof(f27918,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(subsumption_resolution,[],[f27917,f24841]) ).

fof(f27917,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f26720,f24840]) ).

fof(f26720,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f14715]) ).

fof(f14715,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(flattening,[],[f14714]) ).

fof(f14714,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(ennf_transformation,[],[f9720]) ).

fof(f9720,plain,
    ! [X0,X1,X2] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
     => ( ( s__instance(X2,X0)
          & s__subclass(X0,X1) )
       => s__instance(X2,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X5,X6,X7] :
      ( ( s__instance(X5,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) )
     => ( ( s__instance(X7,X5)
          & s__subclass(X5,X6) )
       => s__instance(X7,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f20246,plain,
    s__instance(s__Organism5_1,s__Lizard5_1),
    inference(cnf_transformation,[],[f7219]) ).

fof(f7219,axiom,
    s__instance(s__Organism5_1,s__Lizard5_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f18443,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(cnf_transformation,[],[f7254]) ).

fof(f7254,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(flattening,[],[f7252]) ).

fof(f7252,negated_conjecture,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(negated_conjecture,[],[f7251]) ).

fof(f7251,conjecture,
    s__instance(s__Organism5_1,s__Animal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f18875,plain,
    s__subclass(s__Lizard5_1,s__Class5_1),
    inference(cnf_transformation,[],[f7249]) ).

fof(f7249,axiom,
    s__subclass(s__Lizard5_1,s__Class5_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_32) ).

fof(f27609,plain,
    s__subclass(s__Class5_1,s__Reptile),
    inference(forward_demodulation,[],[f27608,f27607]) ).

fof(f27607,plain,
    s__Class5_1 = s__Class5_3,
    inference(forward_demodulation,[],[f18452,f18451]) ).

fof(f18451,plain,
    s__Class5_1 = s__Class5_2,
    inference(cnf_transformation,[],[f7240]) ).

fof(f7240,axiom,
    s__Class5_1 = s__Class5_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_23) ).

fof(f18452,plain,
    s__Class5_2 = s__Class5_3,
    inference(cnf_transformation,[],[f7241]) ).

fof(f7241,axiom,
    s__Class5_2 = s__Class5_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_24) ).

fof(f27608,plain,
    s__subclass(s__Class5_3,s__Reptile),
    inference(forward_demodulation,[],[f19049,f27606]) ).

fof(f27606,plain,
    s__Class5_3 = s__Class5_10,
    inference(forward_demodulation,[],[f27605,f18449]) ).

fof(f18449,plain,
    s__Class5_3 = s__Class5_4,
    inference(cnf_transformation,[],[f7242]) ).

fof(f7242,axiom,
    s__Class5_3 = s__Class5_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_25) ).

fof(f27605,plain,
    s__Class5_4 = s__Class5_10,
    inference(forward_demodulation,[],[f27604,f18448]) ).

fof(f18448,plain,
    s__Class5_4 = s__Class5_5,
    inference(cnf_transformation,[],[f7243]) ).

fof(f7243,axiom,
    s__Class5_4 = s__Class5_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_26) ).

fof(f27604,plain,
    s__Class5_5 = s__Class5_10,
    inference(forward_demodulation,[],[f27603,f18447]) ).

fof(f18447,plain,
    s__Class5_5 = s__Class5_6,
    inference(cnf_transformation,[],[f7244]) ).

fof(f7244,axiom,
    s__Class5_5 = s__Class5_6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_27) ).

fof(f27603,plain,
    s__Class5_6 = s__Class5_10,
    inference(forward_demodulation,[],[f27602,f18446]) ).

fof(f18446,plain,
    s__Class5_6 = s__Class5_7,
    inference(cnf_transformation,[],[f7245]) ).

fof(f7245,axiom,
    s__Class5_6 = s__Class5_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_28) ).

fof(f27602,plain,
    s__Class5_7 = s__Class5_10,
    inference(forward_demodulation,[],[f27601,f18445]) ).

fof(f18445,plain,
    s__Class5_7 = s__Class5_8,
    inference(cnf_transformation,[],[f7246]) ).

fof(f7246,axiom,
    s__Class5_7 = s__Class5_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_29) ).

fof(f27601,plain,
    s__Class5_8 = s__Class5_10,
    inference(forward_demodulation,[],[f18450,f18444]) ).

fof(f18444,plain,
    s__Class5_8 = s__Class5_9,
    inference(cnf_transformation,[],[f7247]) ).

fof(f7247,axiom,
    s__Class5_8 = s__Class5_9,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_30) ).

fof(f18450,plain,
    s__Class5_9 = s__Class5_10,
    inference(cnf_transformation,[],[f7248]) ).

fof(f7248,axiom,
    s__Class5_9 = s__Class5_10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_31) ).

fof(f19049,plain,
    s__subclass(s__Class5_10,s__Reptile),
    inference(cnf_transformation,[],[f7250]) ).

fof(f7250,axiom,
    s__subclass(s__Class5_10,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_33) ).

fof(f19316,plain,
    s__subclass(s__Vertebrate,s__Animal),
    inference(cnf_transformation,[],[f5923]) ).

fof(f5923,axiom,
    s__subclass(s__Vertebrate,s__Animal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_5997) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : CSR079+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n002.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   : Fri May  3 20:19:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (25358)Running in auto input_syntax mode. Trying TPTP
% 0.41/0.56  % (25361)WARNING: value z3 for option sas not known
% 0.41/0.57  % (25359)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.41/0.57  % (25365)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.41/0.57  % (25363)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.41/0.57  % (25364)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.41/0.57  % (25361)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.41/0.57  % (25362)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.41/0.57  % (25360)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 5.06/1.27  Detected minimum model sizes of [51]
% 5.06/1.27  Detected maximum model sizes of [max]
% 5.06/1.27  Cannot represent all propositional literals internally
% 5.06/1.27  % (25362)Refutation not found, incomplete strategy% (25362)------------------------------
% 5.06/1.27  % (25362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.06/1.27  % (25362)Termination reason: Refutation not found, incomplete strategy
% 5.06/1.27  
% 5.06/1.27  % (25362)Memory used [KB]: 34794
% 5.06/1.27  % (25362)Time elapsed: 0.704 s
% 5.06/1.27  % (25362)Instructions burned: 1666 (million)
% 5.06/1.27  % (25362)------------------------------
% 5.06/1.27  % (25362)------------------------------
% 5.06/1.30  % (25366)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 9.13/1.84  Detected minimum model sizes of [51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51]
% 9.13/1.84  Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,2,max]
% 9.13/1.84  Cannot represent all propositional literals internally
% 9.13/1.84  % (25366)Refutation not found, incomplete strategy% (25366)------------------------------
% 9.13/1.84  % (25366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 9.13/1.84  % (25366)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.84  
% 9.13/1.84  % (25366)Memory used [KB]: 31264
% 9.13/1.84  % (25366)Time elapsed: 0.544 s
% 9.13/1.84  % (25366)Instructions burned: 1310 (million)
% 9.13/1.84  % (25366)------------------------------
% 9.13/1.84  % (25366)------------------------------
% 9.13/1.86  % (25367)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 10.99/2.13  Detected minimum model sizes of [51]
% 10.99/2.13  Detected maximum model sizes of [max]
% 10.99/2.13  Cannot represent all propositional literals internally
% 10.99/2.13  % (25360)Refutation not found, incomplete strategy% (25360)------------------------------
% 10.99/2.13  % (25360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.99/2.13  % (25360)Termination reason: Refutation not found, incomplete strategy
% 10.99/2.13  
% 10.99/2.13  % (25360)Memory used [KB]: 48806
% 10.99/2.13  % (25360)Time elapsed: 1.558 s
% 10.99/2.13  % (25360)Instructions burned: 3944 (million)
% 10.99/2.14  % (25360)------------------------------
% 10.99/2.14  % (25360)------------------------------
% 10.99/2.16  % (25368)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 12.61/2.37  % (25365)First to succeed.
% 12.61/2.37  Detected minimum model sizes of [51]
% 12.61/2.37  Detected maximum model sizes of [max]
% 12.61/2.37  Cannot represent all propositional literals internally
% 12.61/2.37  % (25359)Refutation not found, incomplete strategy% (25359)------------------------------
% 12.61/2.37  % (25359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.61/2.37  % (25359)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.37  
% 12.61/2.37  % (25359)Memory used [KB]: 77048
% 12.61/2.37  % (25359)Time elapsed: 1.804 s
% 12.61/2.37  % (25359)Instructions burned: 4595 (million)
% 12.61/2.37  % (25365)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25358"
% 12.61/2.38  % (25365)Refutation found. Thanks to Tanya!
% 12.61/2.38  % SZS status Theorem for theBenchmark
% 12.61/2.38  % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.38  % (25365)------------------------------
% 12.61/2.38  % (25365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.61/2.38  % (25365)Termination reason: Refutation
% 12.61/2.38  
% 12.61/2.38  % (25365)Memory used [KB]: 48970
% 12.61/2.38  % (25365)Time elapsed: 1.804 s
% 12.61/2.38  % (25365)Instructions burned: 4100 (million)
% 12.61/2.38  % (25358)Success in time 2.017 s
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