TSTP Solution File: GEO062-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 11:13:42 EDT 2024

% Result   : Unsatisfiable 19.14s 3.15s
% Output   : Refutation 19.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   30 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41569,plain,
    $false,
    inference(subsumption_resolution,[],[f41514,f75]) ).

fof(f75,axiom,
    v != insertion(u,w,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_insertion) ).

fof(f41514,plain,
    v = insertion(u,w,u,v),
    inference(resolution,[],[f19620,f74]) ).

fof(f74,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f19620,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X0,X2,X0,X1) = X1 ),
    inference(subsumption_resolution,[],[f19615,f21]) ).

fof(f21,axiom,
    ! [X3,X10] : equidistant(X10,X3,X10,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

fof(f19615,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X0,X2,X0,X1) = X1
      | ~ equidistant(X0,X2,X0,X2) ),
    inference(duplicate_literal_removal,[],[f19589]) ).

fof(f19589,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X0,X2,X0,X1) = X1
      | ~ between(X0,X1,X2)
      | ~ equidistant(X0,X2,X0,X2) ),
    inference(resolution,[],[f2451,f2678]) ).

fof(f2678,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X3,insertion(X2,X3,X0,X4))
      | ~ between(X0,X4,X1)
      | ~ equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f73,f25]) ).

fof(f25,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).

fof(f73,axiom,
    ! [X3,X10,X11,X5,X12] :
      ( equidistant(X3,X5,insertion(X11,X12,X10,X3),X12)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i2_3) ).

fof(f2451,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X2,X1,X2,insertion(X0,X3,X0,X1))
      | ~ between(X0,X1,X2)
      | insertion(X0,X3,X0,X1) = X1 ),
    inference(resolution,[],[f70,f71]) ).

fof(f71,axiom,
    ! [X3,X10,X11,X12] : equidistant(X10,X3,X11,insertion(X11,X12,X10,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i2_1) ).

fof(f70,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X10,X0)
      | ~ between(X10,X3,X5)
      | ~ equidistant(X5,X3,X5,X0)
      | X0 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 05:43:58 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (2627)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (2630)WARNING: value z3 for option sas not known
% 0.14/0.38  % (2628)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (2629)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (2631)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (2633)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)
% 0.14/0.38  % (2630)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)
% 0.14/0.38  % (2632)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)
% 0.14/0.38  % (2634)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)
% 0.14/0.39  Detected minimum model sizes of [3]
% 0.14/0.39  Detected maximum model sizes of [max]
% 0.21/0.39  TRYING [3]
% 0.21/0.42  Detected minimum model sizes of [3]
% 0.21/0.42  Detected maximum model sizes of [max]
% 0.21/0.45  TRYING [3]
% 0.21/0.50  TRYING [4]
% 5.11/1.09  Detected minimum model sizes of [3]
% 5.11/1.09  Detected maximum model sizes of [max]
% 5.11/1.10  TRYING [3]
% 5.65/1.16  TRYING [4]
% 6.52/1.31  TRYING [5]
% 8.27/1.57  TRYING [4]
% 9.31/1.72  TRYING [5]
% 19.14/3.14  % (2630)First to succeed.
% 19.14/3.15  % (2630)Refutation found. Thanks to Tanya!
% 19.14/3.15  % SZS status Unsatisfiable for theBenchmark
% 19.14/3.15  % SZS output start Proof for theBenchmark
% See solution above
% 19.14/3.15  % (2630)------------------------------
% 19.14/3.15  % (2630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.14/3.15  % (2630)Termination reason: Refutation
% 19.14/3.15  
% 19.14/3.15  % (2630)Memory used [KB]: 28644
% 19.14/3.15  % (2630)Time elapsed: 2.755 s
% 19.14/3.15  % (2630)Instructions burned: 7939 (million)
% 19.14/3.15  % (2630)------------------------------
% 19.14/3.15  % (2630)------------------------------
% 19.14/3.15  % (2627)Success in time 2.765 s
%------------------------------------------------------------------------------