TSTP Solution File: GEO057-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO057-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n026.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 16:11:41 EDT 2022

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   7 unt;   0 def)
%            Number of atoms       :    9 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f42,f36]) ).

fof(f36,plain,
    u != sF0,
    inference(definition_folding,[],[f33,f35]) ).

fof(f35,plain,
    reflection(u,u) = sF0,
    introduced(function_definition,[]) ).

fof(f33,axiom,
    u != reflection(u,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_extension_by_reflection) ).

fof(f42,plain,
    u = sF0,
    inference(backward_demodulation,[],[f35,f41]) ).

fof(f41,plain,
    ! [X2] : reflection(X2,X2) = X2,
    inference(resolution,[],[f3,f32]) ).

fof(f32,axiom,
    ! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO057-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.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   : Mon Aug 29 21:18:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.50  % (30028)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51  % (30044)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.51  % (30036)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51  % (30044)First to succeed.
% 0.22/0.51  % (30021)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.51  % (30044)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51  % (30044)------------------------------
% 0.22/0.51  % (30044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51  % (30044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51  % (30044)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (30044)Memory used [KB]: 895
% 0.22/0.51  % (30044)Time elapsed: 0.104 s
% 0.22/0.51  % (30044)Instructions burned: 3 (million)
% 0.22/0.51  % (30044)------------------------------
% 0.22/0.51  % (30044)------------------------------
% 0.22/0.51  % (30016)Success in time 0.154 s
%------------------------------------------------------------------------------