TSTP Solution File: ARI032_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI032_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 : n021.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 15:47:12 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   9   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   77 (  17 atm;  13 fun;  24 num;  23 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  20   !;   3   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f198,plain,
    $false,
    inference(evaluation,[],[f190]) ).

tff(f190,plain,
    15 = $sum(15,16),
    inference(resolution,[],[f178,f59]) ).

tff(f59,plain,
    ! [X2: $int] :
      ( ~ $less(X2,16)
      | ( 15 = X2 ) ),
    inference(evaluation,[],[f58]) ).

tff(f58,plain,
    ! [X2: $int] :
      ( ~ $less(X2,$sum(15,1))
      | ( 15 = X2 ) ),
    inference(resolution,[],[f46,f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_166,[]) ).

tff(f46,plain,
    ! [X0: $int] :
      ( $less(15,X0)
      | ( 15 = X0 ) ),
    inference(resolution,[],[f11,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int] : $less(X0,15),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $greater(15,X0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $greater(15,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_15_greater_something) ).

tff(f11,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f178,plain,
    ! [X6: $int] : $less($sum(15,X6),X6),
    inference(evaluation,[],[f175]) ).

tff(f175,plain,
    ! [X6: $int] :
      ( ( 15 = 0 )
      | $less($sum(15,X6),X6) ),
    inference(superposition,[],[f136,f20]) ).

tff(f20,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f4,f6]) ).

tff(f6,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f136,plain,
    ! [X16: $int,X17: $int] :
      ( $less($sum(15,X16),$sum(X17,X16))
      | ( 15 = X17 ) ),
    inference(resolution,[],[f12,f46]) ).

tff(f12,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ARI032=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:17:55 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.48  % (2585)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)
% 0.20/0.48  % (2585)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.49  % (2600)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)
% 0.20/0.49  % (2593)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.49  % (2585)Terminated due to inappropriate strategy.
% 0.20/0.49  % (2585)------------------------------
% 0.20/0.49  % (2585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (2585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (2585)Termination reason: Inappropriate
% 0.20/0.49  
% 0.20/0.49  % (2585)Memory used [KB]: 895
% 0.20/0.49  % (2585)Time elapsed: 0.003 s
% 0.20/0.49  % (2585)Instructions burned: 2 (million)
% 0.20/0.49  % (2585)------------------------------
% 0.20/0.49  % (2585)------------------------------
% 0.20/0.49  % (2600)First to succeed.
% 0.20/0.50  % (2601)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)
% 0.20/0.50  % (2593)Instruction limit reached!
% 0.20/0.50  % (2593)------------------------------
% 0.20/0.50  % (2593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (2597)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.50  % (2593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (2593)Termination reason: Unknown
% 0.20/0.50  % (2593)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (2608)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)
% 0.20/0.50  % (2593)Memory used [KB]: 5373
% 0.20/0.50  % (2593)Time elapsed: 0.110 s
% 0.20/0.50  % (2593)Instructions burned: 3 (million)
% 0.20/0.50  % (2593)------------------------------
% 0.20/0.50  % (2593)------------------------------
% 0.20/0.50  % (2592)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.50  % (2592)Instruction limit reached!
% 0.20/0.50  % (2592)------------------------------
% 0.20/0.50  % (2592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (2592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (2600)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (2600)------------------------------
% 0.20/0.51  % (2600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (2600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (2600)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (2600)Memory used [KB]: 1023
% 0.20/0.51  % (2600)Time elapsed: 0.103 s
% 0.20/0.51  % (2600)Instructions burned: 9 (million)
% 0.20/0.51  % (2600)------------------------------
% 0.20/0.51  % (2600)------------------------------
% 0.20/0.51  % (2584)Success in time 0.165 s
%------------------------------------------------------------------------------