TSTP Solution File: ARI431_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI431_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 : n029.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 15:48:14 EDT 2022

% Result   : Theorem 1.52s 0.56s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  12 unt;   1 typ;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   78 (   0 atm;  29 fun;  38 num;  11 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    :    9 (   1 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   9   !;   2   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $real ).

tff(f579,plain,
    $false,
    inference(trivial_inequality_removal,[],[f578]) ).

tff(f578,plain,
    16.05 != 16.05,
    inference(superposition,[],[f19,f459]) ).

tff(f459,plain,
    16.05 = sK0,
    inference(superposition,[],[f455,f6]) ).

tff(f6,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f455,plain,
    16.05 = $sum(sK0,0.0),
    inference(evaluation,[],[f449]) ).

tff(f449,plain,
    $sum(4.0,$uminus(-12.05)) = $sum(sK0,0.0),
    inference(superposition,[],[f352,f8]) ).

tff(f8,plain,
    ! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
    introduced(theory_axiom_145,[]) ).

tff(f352,plain,
    ! [X21: $real] : ( $sum(sK0,$sum(-12.05,X21)) = $sum(4.0,X21) ),
    inference(superposition,[],[f5,f20]) ).

tff(f20,plain,
    4.0 = $sum(sK0,-12.05),
    inference(evaluation,[],[f18]) ).

tff(f18,plain,
    4.0 = $sum(sK0,$uminus(12.05)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( 16.05 != sK0 )
    & ( 4.0 = $sum(sK0,$uminus(12.05)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $real] :
        ( ( 16.05 != X0 )
        & ( 4.0 = $sum(X0,$uminus(12.05)) ) )
   => ( ( 16.05 != sK0 )
      & ( 4.0 = $sum(sK0,$uminus(12.05)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $real] :
      ( ( 16.05 != X0 )
      & ( 4.0 = $sum(X0,$uminus(12.05)) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $real] :
        ( ( 4.0 = $sum(X0,$uminus(12.05)) )
       => ( 16.05 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $difference(X0,12.05) = 4.0 )
       => ( 16.05 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $difference(X0,12.05) = 4.0 )
     => ( 16.05 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_7) ).

tff(f5,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f19,plain,
    16.05 != sK0,
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI431=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33  % Computer : n029.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Aug 29 15:50:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (29585)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 (3000ds/51Mi)
% 0.20/0.51  % (29578)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.51  % (29598)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.52  % (29584)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52  % (29584)Instruction limit reached!
% 0.20/0.52  % (29584)------------------------------
% 0.20/0.52  % (29584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29584)Termination reason: Unknown
% 0.20/0.52  % (29584)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (29584)Memory used [KB]: 895
% 0.20/0.52  % (29584)Time elapsed: 0.002 s
% 0.20/0.52  % (29584)Instructions burned: 2 (million)
% 0.20/0.52  % (29584)------------------------------
% 0.20/0.52  % (29584)------------------------------
% 0.20/0.52  % (29599)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.52  % (29590)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.52  % (29592)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 (3000ds/99Mi)
% 0.20/0.52  % (29583)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52  % (29591)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.52  % (29580)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (29577)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (29581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.40/0.52  % (29579)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.40/0.52  % (29583)Instruction limit reached!
% 1.40/0.52  % (29583)------------------------------
% 1.40/0.52  % (29583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52  % (29583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52  % (29583)Termination reason: Unknown
% 1.40/0.52  % (29583)Termination phase: Saturation
% 1.40/0.52  
% 1.40/0.52  % (29583)Memory used [KB]: 5500
% 1.40/0.52  % (29583)Time elapsed: 0.105 s
% 1.40/0.52  % (29583)Instructions burned: 8 (million)
% 1.40/0.52  % (29583)------------------------------
% 1.40/0.52  % (29583)------------------------------
% 1.40/0.52  % (29586)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.40/0.52  % (29587)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.40/0.53  % (29601)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.40/0.53  % (29589)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.40/0.53  % (29600)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.40/0.53  % (29582)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.40/0.53  % (29582)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.40/0.53  % (29582)Terminated due to inappropriate strategy.
% 1.40/0.53  % (29582)------------------------------
% 1.40/0.53  % (29582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (29582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (29582)Termination reason: Inappropriate
% 1.40/0.53  
% 1.40/0.53  % (29582)Memory used [KB]: 895
% 1.40/0.53  % (29582)Time elapsed: 0.004 s
% 1.40/0.53  % (29582)------------------------------
% 1.40/0.53  % (29582)------------------------------
% 1.40/0.53  % (29602)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.40/0.53  % (29585)First to succeed.
% 1.40/0.53  % (29596)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.40/0.53  % (29603)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 (3000ds/177Mi)
% 1.40/0.54  % (29605)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.40/0.54  % (29576)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 1.40/0.54  % (29576)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.40/0.54  % (29576)Terminated due to inappropriate strategy.
% 1.40/0.54  % (29576)------------------------------
% 1.40/0.54  % (29576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (29576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (29576)Termination reason: Inappropriate
% 1.40/0.54  
% 1.40/0.54  % (29576)Memory used [KB]: 895
% 1.40/0.54  % (29576)Time elapsed: 0.002 s
% 1.40/0.54  % (29576)Instructions burned: 2 (million)
% 1.40/0.54  % (29576)------------------------------
% 1.40/0.54  % (29576)------------------------------
% 1.52/0.54  % (29593)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.52/0.54  % (29593)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.52/0.54  % (29593)Terminated due to inappropriate strategy.
% 1.52/0.54  % (29593)------------------------------
% 1.52/0.54  % (29593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54  % (29593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54  % (29593)Termination reason: Inappropriate
% 1.52/0.54  
% 1.52/0.54  % (29593)Memory used [KB]: 895
% 1.52/0.54  % (29593)Time elapsed: 0.001 s
% 1.52/0.54  % (29593)------------------------------
% 1.52/0.54  % (29593)------------------------------
% 1.52/0.54  % (29594)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.52/0.54  % (29588)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.52/0.54  % (29595)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 (3000ds/100Mi)
% 1.52/0.54  % (29597)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.52/0.56  % (29604)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.52/0.56  % (29601)Also succeeded, but the first one will report.
% 1.52/0.56  % (29585)Refutation found. Thanks to Tanya!
% 1.52/0.56  % SZS status Theorem for theBenchmark
% 1.52/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56  % (29585)------------------------------
% 1.52/0.56  % (29585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (29585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (29585)Termination reason: Refutation
% 1.52/0.56  
% 1.52/0.56  % (29585)Memory used [KB]: 1151
% 1.52/0.56  % (29585)Time elapsed: 0.125 s
% 1.52/0.56  % (29585)Instructions burned: 21 (million)
% 1.52/0.56  % (29585)------------------------------
% 1.52/0.56  % (29585)------------------------------
% 1.52/0.56  % (29575)Success in time 0.212 s
%------------------------------------------------------------------------------