TSTP Solution File: NUM916_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM916_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 May 21 02:14:18 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  13 unt;   2 typ;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   48 (   0 atm;  20 fun;   3 num;  25 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    :    5 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  19   !;   6   ?;  25   :)

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

tff(func_def_5,type,
    sK1: $int ).

tff(f592,plain,
    $false,
    inference(equality_resolution,[],[f591]) ).

tff(f591,plain,
    ! [X0: $int] : ( sK1 != X0 ),
    inference(evaluation,[],[f585]) ).

tff(f585,plain,
    ! [X0: $int] : ( $sum(X0,0) != sK1 ),
    inference(superposition,[],[f567,f19]) ).

tff(f19,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f567,plain,
    ! [X0: $int,X1: $int] : ( sK1 != $sum(X0,$sum(X1,sK0)) ),
    inference(superposition,[],[f18,f4]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f18,plain,
    ! [X2: $int] : ( sK1 != $sum(X2,sK0) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X2: $int] : ( sK1 != $sum(X2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int] : ( $sum(X2,X0) != X1 )
   => ! [X2: $int] : ( sK1 != $sum(X2,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int,X1: $int] :
    ! [X2: $int] : ( $sum(X2,X0) != X1 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
      ? [X2: $int] : ( $sum(X2,X0) = X1 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] :
    ? [X2: $int] : ( $sum(X2,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM916_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n003.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 May 20 04:19:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (4566)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (4569)WARNING: value z3 for option sas not known
% 0.14/0.37  % (4567)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (4570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (4571)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  % (4572)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  % (4567)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (4567)Terminated due to inappropriate strategy.
% 0.14/0.38  % (4567)------------------------------
% 0.14/0.38  % (4567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (4567)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (4567)Memory used [KB]: 722
% 0.14/0.38  % (4567)Time elapsed: 0.002 s
% 0.14/0.38  % (4567)Instructions burned: 2 (million)
% 0.14/0.38  % (4570)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (4570)Terminated due to inappropriate strategy.
% 0.14/0.38  % (4570)------------------------------
% 0.14/0.38  % (4570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (4570)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (4570)Memory used [KB]: 722
% 0.14/0.38  % (4570)Time elapsed: 0.002 s
% 0.14/0.38  % (4570)Instructions burned: 2 (million)
% 0.14/0.38  % (4569)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  % (4567)------------------------------
% 0.14/0.38  % (4567)------------------------------
% 0.14/0.38  % (4570)------------------------------
% 0.14/0.38  % (4570)------------------------------
% 0.14/0.38  % (4573)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  % (4568)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  % (4568)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38  % (4568)Terminated due to inappropriate strategy.
% 0.14/0.38  % (4568)------------------------------
% 0.14/0.38  % (4568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (4568)Termination reason: Inappropriate
% 0.14/0.38  
% 0.14/0.38  % (4568)Memory used [KB]: 722
% 0.14/0.38  % (4568)Time elapsed: 0.002 s
% 0.14/0.38  % (4568)Instructions burned: 2 (million)
% 0.14/0.38  % (4568)------------------------------
% 0.14/0.38  % (4568)------------------------------
% 0.14/0.39  % (4572)First to succeed.
% 0.14/0.39  % (4572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4566"
% 0.14/0.39  % (4572)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (4572)------------------------------
% 0.14/0.39  % (4572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (4572)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (4572)Memory used [KB]: 924
% 0.14/0.39  % (4572)Time elapsed: 0.016 s
% 0.14/0.39  % (4572)Instructions burned: 19 (million)
% 0.14/0.39  % (4566)Success in time 0.018 s
%------------------------------------------------------------------------------