%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO039-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 11:13:20 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   15 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(resolution,[],[f30,f25]) ).

fof(f25,plain,
    ~ between(v,x,x),
    inference(backward_demodulation,[],[f21,f23]) ).

fof(f23,plain,
    w = x,
    inference(resolution,[],[f7,f22]) ).

fof(f22,plain,
    between(x,w,x),
    inference(forward_demodulation,[],[f19,f20]) ).

fof(f20,axiom,
    u = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).

fof(f19,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f21,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).

fof(f30,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(superposition,[],[f4,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 06:04:44 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24340)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (24341)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (24345)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)
% 0.14/0.37  % (24342)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (24346)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)
% 0.14/0.37  % (24347)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)
% 0.14/0.37  % (24346)First to succeed.
% 0.14/0.37  % (24346)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (24346)------------------------------
% 0.14/0.37  % (24346)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24346)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (24346)Memory used [KB]: 789
% 0.14/0.37  % (24346)Time elapsed: 0.004 s
% 0.14/0.37  % (24346)Instructions burned: 3 (million)
% 0.14/0.37  % (24346)------------------------------
% 0.14/0.37  % (24346)------------------------------
% 0.14/0.37  % (24340)Success in time 0.007 s
%------------------------------------------------------------------------------