%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 17:59:26 EDT 2022

% Result   : Theorem 1.29s 0.52s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   53 (  26 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  19   ~;  14   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f141,plain,
    $false,
    inference(subsumption_resolution,[],[f140,f119]) ).

fof(f119,plain,
    sz00 != sF2,
    inference(subsumption_resolution,[],[f118,f74]) ).

fof(f74,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).

fof(f118,plain,
    ( sz00 != sF2
    | ~ aInteger0(sz00) ),
    inference(superposition,[],[f111,f116]) ).

fof(f116,plain,
    sz00 = sF3(sz00),
    inference(subsumption_resolution,[],[f114,f73]) ).

fof(f73,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ( aInteger0(xq)
    & aInteger0(xa)
    & sz00 != xq ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

fof(f114,plain,
    ( sz00 = sF3(sz00)
    | ~ aInteger0(xq) ),
    inference(superposition,[],[f92,f110]) ).

fof(f110,plain,
    ! [X0] : sdtasdt0(xq,X0) = sF3(X0),
    introduced(function_definition,[]) ).

fof(f92,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtasdt0(X0,sz00)
        & sz00 = sdtasdt0(sz00,X0) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtasdt0(X0,sz00)
        & sz00 = sdtasdt0(sz00,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

fof(f111,plain,
    ! [X0] :
      ( sF2 != sF3(X0)
      | ~ aInteger0(X0) ),
    inference(definition_folding,[],[f77,f108,f107,f110]) ).

fof(f107,plain,
    smndt0(xa) = sF1,
    introduced(function_definition,[]) ).

fof(f108,plain,
    sdtpldt0(xa,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
    & ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
    & ! [X0] :
        ( ~ aInteger0(X0)
        | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa)) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
      | ? [X0] :
          ( aInteger0(X0)
          & sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa)) )
      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
    | ? [X0] :
        ( aInteger0(X0)
        & sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa)) )
    | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f140,plain,
    sz00 = sF2,
    inference(forward_demodulation,[],[f139,f108]) ).

fof(f139,plain,
    sz00 = sdtpldt0(xa,sF1),
    inference(subsumption_resolution,[],[f126,f72]) ).

fof(f72,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f20]) ).

fof(f126,plain,
    ( sz00 = sdtpldt0(xa,sF1)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f94,f107]) ).

fof(f94,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(X0,smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 06:42:28 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (28567)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.48  % (28575)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.48  % (28567)Refutation not found, incomplete strategy% (28567)------------------------------
% 0.19/0.48  % (28567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (28583)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.48  % (28567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (28567)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (28567)Memory used [KB]: 1535
% 0.19/0.48  % (28567)Time elapsed: 0.088 s
% 0.19/0.48  % (28567)Instructions burned: 3 (million)
% 0.19/0.48  % (28567)------------------------------
% 0.19/0.48  % (28567)------------------------------
% 0.19/0.49  % (28573)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (28583)Refutation not found, incomplete strategy% (28583)------------------------------
% 0.19/0.49  % (28583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (28583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (28583)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (28583)Memory used [KB]: 6012
% 0.19/0.49  % (28583)Time elapsed: 0.100 s
% 0.19/0.49  % (28583)Instructions burned: 4 (million)
% 0.19/0.49  % (28583)------------------------------
% 0.19/0.49  % (28583)------------------------------
% 0.19/0.49  % (28555)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49  % (28555)First to succeed.
% 0.19/0.50  % (28560)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.29/0.52  % (28557)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.52  % (28581)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52  % (28558)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.52  % (28556)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.52  % (28559)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.52  % (28573)Instruction limit reached!
% 1.29/0.52  % (28573)------------------------------
% 1.29/0.52  % (28573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (28573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (28573)Termination reason: Unknown
% 1.29/0.52  % (28573)Termination phase: shuffling
% 1.29/0.52  
% 1.29/0.52  % (28573)Memory used [KB]: 1407
% 1.29/0.52  % (28573)Time elapsed: 0.002 s
% 1.29/0.52  % (28573)Instructions burned: 2 (million)
% 1.29/0.52  % (28573)------------------------------
% 1.29/0.52  % (28573)------------------------------
% 1.29/0.52  % (28576)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52  % (28575)Instruction limit reached!
% 1.29/0.52  % (28575)------------------------------
% 1.29/0.52  % (28575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (28577)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.29/0.52  % (28564)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.29/0.52  % (28555)Refutation found. Thanks to Tanya!
% 1.29/0.52  % SZS status Theorem for theBenchmark
% 1.29/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52  % (28555)------------------------------
% 1.29/0.52  % (28555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (28555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (28555)Termination reason: Refutation
% 1.29/0.52  
% 1.29/0.52  % (28555)Memory used [KB]: 6012
% 1.29/0.52  % (28555)Time elapsed: 0.093 s
% 1.29/0.52  % (28555)Instructions burned: 3 (million)
% 1.29/0.52  % (28555)------------------------------
% 1.29/0.52  % (28555)------------------------------
% 1.29/0.52  % (28554)Success in time 0.179 s
%------------------------------------------------------------------------------