%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n028.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 18:08:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   53 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   49 (  20   ~;  12   |;  17   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   38 (  22   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98,plain,
    $false,
    inference(resolution,[],[f97,f66]) ).

fof(f66,plain,
    r1(sK16),
    inference(equality_resolution,[],[f51]) ).

fof(f51,plain,
    ! [X1] :
      ( r1(X1)
      | sK16 != X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ r1(X1)
        & X0 != X1 )
      | ( r1(X1)
        & X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f97,plain,
    ~ r1(sK16),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ( ~ r1(sK16)
    | ~ r1(sK16) ),
    inference(resolution,[],[f61,f82]) ).

fof(f82,plain,
    ! [X0] : r4(X0,sK16,sK16),
    inference(forward_demodulation,[],[f81,f70]) ).

fof(f70,plain,
    ! [X1] : sK16 = sK1(X1),
    inference(resolution,[],[f52,f28]) ).

fof(f28,plain,
    ! [X0] : r1(sK1(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X3] :
          ( X1 = X3
          & r1(X3) )
      & ? [X2] :
          ( r4(X0,X2,X1)
          & r1(X2) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X32] :
    ? [X33] :
      ( ? [X34] :
          ( r1(X34)
          & r4(X32,X34,X33) )
      & ? [X35] :
          ( X33 = X35
          & r1(X35) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).

fof(f52,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK16 = X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f81,plain,
    ! [X0] : r4(X0,sK1(X0),sK16),
    inference(superposition,[],[f29,f69]) ).

fof(f69,plain,
    ! [X0] : sK0(X0) = sK16,
    inference(resolution,[],[f52,f58]) ).

fof(f58,plain,
    ! [X0] : r1(sK0(X0)),
    inference(definition_unfolding,[],[f26,f27]) ).

fof(f27,plain,
    ! [X0] : sK2(X0) = sK0(X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f26,plain,
    ! [X0] : r1(sK2(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X0] : r4(X0,sK1(X0),sK0(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f61,plain,
    ! [X2,X1] :
      ( ~ r4(X2,X2,X1)
      | ~ r1(X2)
      | ~ r1(X1) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X2,X2,X0)
      | ~ r1(X2)
      | X0 != X1
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r1(X1)
          | X0 != X1 )
      | ! [X2] :
          ( ~ r1(X2)
          | ~ r4(X2,X2,X0) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ? [X0] :
        ( ? [X2] :
            ( r1(X2)
            & r4(X2,X2,X0) )
        & ? [X1] :
            ( X0 = X1
            & r1(X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ? [X22] :
            ( X22 = X38
            & r1(X22) )
        & ? [X21] :
            ( r1(X21)
            & r4(X21,X21,X38) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
      ( ? [X22] :
          ( X22 = X38
          & r1(X22) )
      & ? [X21] :
          ( r1(X21)
          & r4(X21,X21,X38) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.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 10:01:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (21732)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)
% 0.19/0.50  % (21732)First to succeed.
% 0.19/0.50  % (21753)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)
% 0.19/0.50  % (21729)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)
% 0.19/0.50  % (21758)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51  % (21736)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (21731)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)
% 0.19/0.51  % (21753)Also succeeded, but the first one will report.
% 0.19/0.51  % (21757)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)
% 0.19/0.51  % (21732)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (21732)------------------------------
% 0.19/0.51  % (21732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21732)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (21732)Memory used [KB]: 5500
% 0.19/0.51  % (21732)Time elapsed: 0.095 s
% 0.19/0.51  % (21732)Instructions burned: 4 (million)
% 0.19/0.51  % (21732)------------------------------
% 0.19/0.51  % (21732)------------------------------
% 0.19/0.51  % (21727)Success in time 0.171 s
%------------------------------------------------------------------------------