TSTP Solution File: ARI280_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI280_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 : n012.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 15:45:49 EDT 2022

% Result   : Theorem 1.36s 0.53s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   53 (   0 atm;  18 fun;  29 num;   6 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   :    6 (   4   !;   2   ?;   6   :)

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

tff(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f18]) ).

tff(f18,plain,
    5/8 != sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( 15/8 = $sum(5/2,$uminus(sK0)) )
    & ( 5/8 != sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $rat] :
        ( ( 15/8 = $sum(5/2,$uminus(X0)) )
        & ( 5/8 != X0 ) )
   => ( ( 15/8 = $sum(5/2,$uminus(sK0)) )
      & ( 5/8 != sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $rat] :
      ( ( 15/8 = $sum(5/2,$uminus(X0)) )
      & ( 5/8 != X0 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $rat] :
        ( ( 15/8 = $sum(5/2,$uminus(X0)) )
       => ( 5/8 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] :
        ( ( $difference(5/2,X0) = 15/8 )
       => ( 5/8 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] :
      ( ( $difference(5/2,X0) = 15/8 )
     => ( 5/8 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_8) ).

tff(f24,plain,
    5/8 = sK0,
    inference(cancellation,[],[f22]) ).

tff(f22,plain,
    $sum(sK0,-5/8) = 0/1,
    inference(superposition,[],[f8,f20]) ).

tff(f20,plain,
    -5/8 = $uminus(sK0),
    inference(cancellation,[],[f19]) ).

tff(f19,plain,
    15/8 = $sum(5/2,$uminus(sK0)),
    inference(cnf_transformation,[],[f17]) ).

tff(f8,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_145,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : ARI280=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:30:36 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (8367)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.19/0.50  % (8366)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 (3000ds/2Mi)
% 0.19/0.50  % (8366)Instruction limit reached!
% 0.19/0.50  % (8366)------------------------------
% 0.19/0.50  % (8366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (8366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (8366)Termination reason: Unknown
% 0.19/0.50  % (8366)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (8366)Memory used [KB]: 5373
% 0.19/0.50  % (8366)Time elapsed: 0.101 s
% 0.19/0.50  % (8366)Instructions burned: 2 (million)
% 0.19/0.50  % (8366)------------------------------
% 0.19/0.50  % (8366)------------------------------
% 0.19/0.50  % (8383)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.51  % (8375)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.51  % (8375)Refutation not found, incomplete strategy% (8375)------------------------------
% 0.19/0.51  % (8375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8375)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (8375)Memory used [KB]: 5373
% 0.19/0.51  % (8375)Time elapsed: 0.113 s
% 0.19/0.51  % (8375)Instructions burned: 2 (million)
% 0.19/0.51  % (8375)------------------------------
% 0.19/0.51  % (8375)------------------------------
% 1.36/0.51  % (8361)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.36/0.51  % (8379)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 1.36/0.52  % (8382)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 (3000ds/42Mi)
% 1.36/0.52  % (8359)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 1.36/0.52  % (8360)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 (3000ds/2Mi)
% 1.36/0.52  % (8365)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 (3000ds/26Mi)
% 1.36/0.52  % (8368)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 1.36/0.52  % (8369)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.36/0.52  % (8371)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.36/0.52  % (8370)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 1.36/0.52  % (8357)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 1.36/0.52  % (8369)Instruction limit reached!
% 1.36/0.52  % (8369)------------------------------
% 1.36/0.52  % (8369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (8369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (8369)Termination reason: Unknown
% 1.36/0.52  % (8369)Termination phase: Saturation
% 1.36/0.52  
% 1.36/0.52  % (8369)Memory used [KB]: 5373
% 1.36/0.52  % (8369)Time elapsed: 0.002 s
% 1.36/0.52  % (8369)Instructions burned: 2 (million)
% 1.36/0.52  % (8369)------------------------------
% 1.36/0.52  % (8369)------------------------------
% 1.36/0.52  % (8370)Refutation not found, incomplete strategy% (8370)------------------------------
% 1.36/0.52  % (8370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (8370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (8370)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.52  
% 1.36/0.52  % (8370)Memory used [KB]: 5373
% 1.36/0.52  % (8370)Time elapsed: 0.124 s
% 1.36/0.52  % (8370)Instructions burned: 2 (million)
% 1.36/0.52  % (8370)------------------------------
% 1.36/0.52  % (8370)------------------------------
% 1.36/0.52  % (8368)Instruction limit reached!
% 1.36/0.52  % (8368)------------------------------
% 1.36/0.52  % (8368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (8368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (8368)Termination reason: Unknown
% 1.36/0.52  % (8368)Termination phase: Saturation
% 1.36/0.52  
% 1.36/0.52  % (8368)Memory used [KB]: 5500
% 1.36/0.52  % (8368)Time elapsed: 0.126 s
% 1.36/0.52  % (8368)Instructions burned: 4 (million)
% 1.36/0.52  % (8368)------------------------------
% 1.36/0.52  % (8368)------------------------------
% 1.36/0.52  % (8373)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.36/0.52  % (8372)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 (3000ds/2Mi)
% 1.36/0.52  % (8373)Instruction limit reached!
% 1.36/0.52  % (8373)------------------------------
% 1.36/0.52  % (8373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (8373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (8373)Termination reason: Unknown
% 1.36/0.52  % (8372)Instruction limit reached!
% 1.36/0.52  % (8372)------------------------------
% 1.36/0.52  % (8372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (8373)Termination phase: Saturation
% 1.36/0.52  
% 1.36/0.52  % (8372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (8372)Termination reason: Unknown
% 1.36/0.52  % (8373)Memory used [KB]: 5373
% 1.36/0.52  % (8372)Termination phase: SInE selection
% 1.36/0.52  
% 1.36/0.52  % (8373)Time elapsed: 0.137 s
% 1.36/0.52  % (8385)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 1.36/0.52  % (8373)Instructions burned: 2 (million)
% 1.36/0.52  % (8373)------------------------------
% 1.36/0.52  % (8373)------------------------------
% 1.36/0.52  % (8372)Memory used [KB]: 895
% 1.36/0.52  % (8372)Time elapsed: 0.002 s
% 1.36/0.52  % (8372)Instructions burned: 2 (million)
% 1.36/0.52  % (8372)------------------------------
% 1.36/0.52  % (8372)------------------------------
% 1.36/0.52  % (8386)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 1.36/0.52  % (8385)First to succeed.
% 1.36/0.53  % (8385)Refutation found. Thanks to Tanya!
% 1.36/0.53  % SZS status Theorem for theBenchmark
% 1.36/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.53  % (8385)------------------------------
% 1.36/0.53  % (8385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (8385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (8385)Termination reason: Refutation
% 1.36/0.53  
% 1.36/0.53  % (8385)Memory used [KB]: 5373
% 1.36/0.53  % (8385)Time elapsed: 0.142 s
% 1.36/0.53  % (8385)Instructions burned: 1 (million)
% 1.36/0.53  % (8385)------------------------------
% 1.36/0.53  % (8385)------------------------------
% 1.36/0.53  % (8356)Success in time 0.182 s
%------------------------------------------------------------------------------