TSTP Solution File: ARI411_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI411_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_uns --cores 0 -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 : Wed Aug 31 15:46:04 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   33 (   0 atm;   7 fun;  22 num;   4 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 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $real ).

tff(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f19]) ).

tff(f19,plain,
    5.75 = sK0,
    inference(cancellation,[],[f18]) ).

tff(f18,plain,
    10.0 = $sum(4.25,sK0),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( 10.0 = $sum(4.25,sK0) )
    & ( 5.75 != sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $real] :
        ( ( $sum(4.25,X0) = 10.0 )
        & ( 5.75 != X0 ) )
   => ( ( 10.0 = $sum(4.25,sK0) )
      & ( 5.75 != sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $real] :
      ( ( $sum(4.25,X0) = 10.0 )
      & ( 5.75 != X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $sum(4.25,X0) = 10.0 )
       => ( 5.75 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $sum(4.25,X0) = 10.0 )
     => ( 5.75 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_11) ).

tff(f17,plain,
    5.75 != sK0,
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI411=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 15:39:22 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (24014)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.52  % (24021)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (24013)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.53  % (24009)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (24022)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (24029)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (24030)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.53  % (24017)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54  % (24025)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (24024)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (24023)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (24015)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (24033)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54  % (24033)Refutation not found, incomplete strategy% (24033)------------------------------
% 0.20/0.54  % (24033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24033)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (24033)Memory used [KB]: 5373
% 0.20/0.54  % (24033)Time elapsed: 0.135 s
% 0.20/0.54  % (24033)Instructions burned: 1 (million)
% 0.20/0.54  % (24033)------------------------------
% 0.20/0.54  % (24033)------------------------------
% 0.20/0.54  % (24021)Instruction limit reached!
% 0.20/0.54  % (24021)------------------------------
% 0.20/0.54  % (24021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24031)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (24031)First to succeed.
% 0.20/0.54  % (24021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24021)Termination reason: Unknown
% 0.20/0.54  % (24021)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (24021)Memory used [KB]: 5373
% 0.20/0.54  % (24021)Time elapsed: 0.124 s
% 0.20/0.54  % (24021)Instructions burned: 2 (million)
% 0.20/0.54  % (24021)------------------------------
% 0.20/0.54  % (24021)------------------------------
% 0.20/0.54  % (24016)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54  % (24031)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54  % (24031)------------------------------
% 1.42/0.54  % (24031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (24031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (24031)Termination reason: Refutation
% 1.42/0.54  
% 1.42/0.54  % (24031)Memory used [KB]: 5373
% 1.42/0.54  % (24031)Time elapsed: 0.003 s
% 1.42/0.54  % (24031)Instructions burned: 2 (million)
% 1.42/0.54  % (24031)------------------------------
% 1.42/0.54  % (24031)------------------------------
% 1.42/0.54  % (24005)Success in time 0.186 s
%------------------------------------------------------------------------------