TSTP Solution File: GEO042-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO042-3 : 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 : n007.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 : Sun May  5 05:14:45 EDT 2024

% Result   : Unsatisfiable 2.88s 0.79s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   27 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  16   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-5 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4430,plain,
    $false,
    inference(resolution,[],[f4427,f53]) ).

fof(f53,axiom,
    between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).

fof(f4427,plain,
    ~ between(v,w,x),
    inference(resolution,[],[f4400,f52]) ).

fof(f52,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f4400,plain,
    ( ~ between(u,v,x)
    | ~ between(v,w,x) ),
    inference(resolution,[],[f3499,f82]) ).

fof(f82,plain,
    ~ between(w,v,u),
    inference(resolution,[],[f46,f54]) ).

fof(f54,axiom,
    ~ between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).

fof(f46,axiom,
    ! [X3,X10,X5] :
      ( between(X5,X3,X10)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f3499,plain,
    ( between(w,v,u)
    | ~ between(v,w,x)
    | ~ between(u,v,x) ),
    inference(superposition,[],[f9,f3491]) ).

fof(f3491,plain,
    v = inner_pasch(u,v,x,w,v),
    inference(resolution,[],[f3471,f53]) ).

fof(f3471,plain,
    ! [X0] :
      ( ~ between(v,X0,x)
      | v = inner_pasch(u,v,x,X0,v) ),
    inference(resolution,[],[f502,f52]) ).

fof(f502,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    inference(resolution,[],[f8,f7]) ).

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

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : GEO042-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 22:03:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (25976)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (25981)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  % (25979)WARNING: value z3 for option sas not known
% 0.14/0.38  % (25977)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (25978)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  % (25980)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (25979)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  % (25982)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  % (25983)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.20/0.45  TRYING [4]
% 0.20/0.51  TRYING [3]
% 2.11/0.69  TRYING [1]
% 2.11/0.69  TRYING [2]
% 2.11/0.69  TRYING [3]
% 2.88/0.78  TRYING [4]
% 2.88/0.79  % (25982)First to succeed.
% 2.88/0.79  % (25982)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25976"
% 2.88/0.79  % (25982)Refutation found. Thanks to Tanya!
% 2.88/0.79  % SZS status Unsatisfiable for theBenchmark
% 2.88/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.80  % (25982)------------------------------
% 2.88/0.80  % (25982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.88/0.80  % (25982)Termination reason: Refutation
% 2.88/0.80  
% 2.88/0.80  % (25982)Memory used [KB]: 2240
% 2.88/0.80  % (25982)Time elapsed: 0.419 s
% 2.88/0.80  % (25982)Instructions burned: 856 (million)
% 2.88/0.80  % (25976)Success in time 0.421 s
%------------------------------------------------------------------------------