TSTP Solution File: NUM889_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM889_1 : TPTP v8.1.0. Released v5.0.0.
% 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 18:07:07 EDT 2022

% Result   : Theorem 1.51s 0.73s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   24 (   0 atm;  19 fun;   0 num;   5 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   3 usr;   3 con; 0-1 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(func_def_5,type,
    sF1: $int ).

tff(func_def_6,type,
    sF2: $int ).

tff(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f21]) ).

tff(f21,plain,
    sF2 != sK0,
    inference(definition_folding,[],[f18,f20,f19]) ).

tff(f19,plain,
    sF1 = $uminus(sK0),
    introduced(function_definition,[]) ).

tff(f20,plain,
    sF2 = $uminus(sF1),
    introduced(function_definition,[]) ).

tff(f18,plain,
    sK0 != $uminus($uminus(sK0)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    sK0 != $uminus($uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] : ( $uminus($uminus(X0)) != X0 )
   => ( sK0 != $uminus($uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] : ( $uminus($uminus(X0)) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uminus_uminus) ).

tff(f24,plain,
    sF2 = sK0,
    inference(superposition,[],[f22,f20]) ).

tff(f22,plain,
    sK0 = $uminus(sF1),
    inference(superposition,[],[f13,f19]) ).

tff(f13,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM889=1 : TPTP v8.1.0. Released v5.0.0.
% 0.14/0.13  % 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   : Tue Aug 30 09:26:21 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.36  ipcrm: permission denied for id (670531584)
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% 0.21/0.51  ipcrm: permission denied for id (675610751)
% 1.51/0.72  % (5397)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.51/0.73  % (5389)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.51/0.73  % (5389)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.51/0.73  % (5388)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.51/0.73  % (5389)Terminated due to inappropriate strategy.
% 1.51/0.73  % (5389)------------------------------
% 1.51/0.73  % (5389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.73  % (5389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.73  % (5389)Termination reason: Inappropriate
% 1.51/0.73  
% 1.51/0.73  % (5389)Memory used [KB]: 895
% 1.51/0.73  % (5389)Time elapsed: 0.005 s
% 1.51/0.73  % (5389)Instructions burned: 1 (million)
% 1.51/0.73  % (5389)------------------------------
% 1.51/0.73  % (5389)------------------------------
% 1.51/0.73  % (5380)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.51/0.73  % (5397)First to succeed.
% 1.51/0.73  % (5381)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.51/0.73  % (5378)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.51/0.73  % (5378)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.51/0.73  % (5378)Terminated due to inappropriate strategy.
% 1.51/0.73  % (5378)------------------------------
% 1.51/0.73  % (5378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.73  % (5378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.73  % (5378)Termination reason: Inappropriate
% 1.51/0.73  
% 1.51/0.73  % (5378)Memory used [KB]: 895
% 1.51/0.73  % (5378)Time elapsed: 0.002 s
% 1.51/0.73  % (5378)Instructions burned: 2 (million)
% 1.51/0.73  % (5378)------------------------------
% 1.51/0.73  % (5378)------------------------------
% 1.51/0.73  % (5381)Also succeeded, but the first one will report.
% 1.51/0.73  % (5396)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.51/0.73  % (5380)Also succeeded, but the first one will report.
% 1.51/0.73  % (5397)Refutation found. Thanks to Tanya!
% 1.51/0.73  % SZS status Theorem for theBenchmark
% 1.51/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.73  % (5397)------------------------------
% 1.51/0.73  % (5397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.73  % (5397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.73  % (5397)Termination reason: Refutation
% 1.51/0.73  
% 1.51/0.73  % (5397)Memory used [KB]: 5373
% 1.51/0.73  % (5397)Time elapsed: 0.074 s
% 1.51/0.73  % (5397)Instructions burned: 2 (million)
% 1.51/0.73  % (5397)------------------------------
% 1.51/0.73  % (5397)------------------------------
% 1.51/0.73  % (5165)Success in time 0.376 s
%------------------------------------------------------------------------------