TSTP Solution File: GEO022-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO022-2 : 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 : n015.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 11:12:46 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  12   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,plain,
    $false,
    inference(resolution,[],[f43,f5]) ).

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(f43,plain,
    ! [X0,X1] : ~ equidistant(X0,X1,u,v),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,u,v)
      | ~ equidistant(X0,X1,u,v) ),
    inference(resolution,[],[f38,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f38,plain,
    ~ equidistant(u,v,u,v),
    inference(resolution,[],[f34,f19]) ).

fof(f19,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,w,x)
      | ~ equidistant(X0,X1,u,v) ),
    inference(resolution,[],[f30,f2]) ).

fof(f30,plain,
    ~ equidistant(w,x,u,v),
    inference(resolution,[],[f28,f20]) ).

fof(f20,axiom,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,y,z)
      | ~ equidistant(X0,X1,u,v) ),
    inference(resolution,[],[f2,f21]) ).

fof(f21,axiom,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n015.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   : Tue Apr 30 06:00:33 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (23022)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35  % (23027)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)
% 0.13/0.36  % (23025)WARNING: value z3 for option sas not known
% 0.13/0.36  % (23023)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (23024)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (23026)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (23025)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)
% 0.13/0.36  % (23028)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)
% 0.13/0.36  % (23029)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)
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [2]
% 0.13/0.36  % (23028)First to succeed.
% 0.13/0.36  % (23029)Also succeeded, but the first one will report.
% 0.13/0.37  % (23025)Also succeeded, but the first one will report.
% 0.13/0.37  % (23028)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (23028)------------------------------
% 0.13/0.37  % (23028)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (23028)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (23028)Memory used [KB]: 796
% 0.13/0.37  % (23028)Time elapsed: 0.004 s
% 0.13/0.37  % (23028)Instructions burned: 4 (million)
% 0.13/0.37  % (23028)------------------------------
% 0.13/0.37  % (23028)------------------------------
% 0.13/0.37  % (23022)Success in time 0.01 s
%------------------------------------------------------------------------------