%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n003.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 15:52:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f51,plain,
    $false,
    inference(subsumption_resolution,[],[f45,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(t,X1),apply(b,X0)),X2),
    inference(superposition,[],[f4,f6]) ).

fof(f6,plain,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).

fof(f4,plain,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f45,plain,
    apply(y,apply(x,z)) != apply(apply(apply(t,x),apply(b,y)),z),
    inference(backward_demodulation,[],[f38,f34]) ).

fof(f38,plain,
    apply(y,apply(x,z)) != apply(apply(apply(apply(t,b),apply(b,apply(t,x))),y),z),
    inference(forward_demodulation,[],[f37,f4]) ).

fof(f37,plain,
    apply(y,apply(x,z)) != apply(apply(apply(apply(apply(b,apply(t,b)),b),apply(t,x)),y),z),
    inference(forward_demodulation,[],[f5,f4]) ).

fof(f5,plain,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),x),y),z) != apply(y,apply(x,z)),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),x),y),z) != apply(y,apply(x,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:45:22 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (9764)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 (3000ds/37Mi)
% 0.19/0.51  % (9777)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 (3000ds/68Mi)
% 0.19/0.52  % (9765)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52  % (9777)First to succeed.
% 0.19/0.52  % (9769)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52  % (9777)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (9777)------------------------------
% 0.19/0.52  % (9777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9777)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (9777)Memory used [KB]: 5756
% 0.19/0.52  % (9777)Time elapsed: 0.006 s
% 0.19/0.52  % (9777)Instructions burned: 4 (million)
% 0.19/0.52  % (9777)------------------------------
% 0.19/0.52  % (9777)------------------------------
% 0.19/0.52  % (9758)Success in time 0.17 s
%------------------------------------------------------------------------------