TSTP Solution File: ARI356_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI356_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 15:48:00 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   7   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  106 (  20 atm;  25 fun;  29 num;  32 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (  30   !;   2   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f209,plain,
    $false,
    inference(evaluation,[],[f205]) ).

tff(f205,plain,
    -32500.0 = $sum(-1.0,-32500.0),
    inference(resolution,[],[f190,f8]) ).

tff(f8,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f190,plain,
    ! [X10: $real] :
      ( $less(-32500.0,X10)
      | ( -32500.0 = $sum(-1.0,X10) ) ),
    inference(evaluation,[],[f185]) ).

tff(f185,plain,
    ! [X10: $real] :
      ( ( -32500.0 = $sum($uminus(1.0),X10) )
      | $less(-32500.0,X10) ),
    inference(superposition,[],[f77,f153]) ).

tff(f153,plain,
    ! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f131,f22]) ).

tff(f22,plain,
    ! [X0: $real] : ( $sum(0.0,X0) = X0 ),
    inference(superposition,[],[f3,f5]) ).

tff(f5,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f3,plain,
    ! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f131,plain,
    ! [X2: $real,X3: $real] : ( $sum(0.0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f4,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f77,plain,
    ! [X0: $real] :
      ( $less(-32500.0,$sum(1.0,X0))
      | ( -32500.0 = X0 ) ),
    inference(superposition,[],[f71,f3]) ).

tff(f71,plain,
    ! [X2: $real] :
      ( $less(-32500.0,$sum(X2,1.0))
      | ( -32500.0 = X2 ) ),
    inference(resolution,[],[f55,f34]) ).

tff(f34,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f12,f8]) ).

tff(f12,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f55,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | ( -32500.0 = X0 )
      | $less(-32500.0,X1) ),
    inference(resolution,[],[f46,f9]) ).

tff(f9,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X2)
      | $less(X0,X2) ),
    introduced(theory_axiom_148,[]) ).

tff(f46,plain,
    ! [X0: $real] :
      ( $less(-32500.0,X0)
      | ( -32500.0 = X0 ) ),
    inference(resolution,[],[f10,f15]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,-32500.0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ~ $less(X0,-32500.0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less(X0,-32500.0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less(X0,-32500.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_less_problem_12) ).

tff(f10,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI356=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
% 0.13/0.34  % Computer : n021.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:31:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (23130)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)
% 0.20/0.51  % (23139)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51  % (23138)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  % (23135)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)
% 0.20/0.51  % (23142)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51  % (23156)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)
% 0.20/0.52  % (23156)First to succeed.
% 0.20/0.52  % (23152)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  % (23148)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)
% 0.20/0.52  % (23144)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  % (23135)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (23135)Terminated due to inappropriate strategy.
% 0.20/0.52  % (23135)------------------------------
% 0.20/0.52  % (23135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23135)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (23135)Memory used [KB]: 895
% 0.20/0.52  % (23135)Time elapsed: 0.002 s
% 0.20/0.52  % (23135)Instructions burned: 1 (million)
% 0.20/0.52  % (23135)------------------------------
% 0.20/0.52  % (23135)------------------------------
% 0.20/0.52  % (23154)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.53  % (23134)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)
% 0.20/0.53  % (23129)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)
% 0.20/0.53  % (23129)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (23129)Terminated due to inappropriate strategy.
% 0.20/0.53  % (23129)------------------------------
% 0.20/0.53  % (23129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (23129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (23129)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (23129)Memory used [KB]: 895
% 0.20/0.53  % (23129)Time elapsed: 0.002 s
% 0.20/0.53  % (23129)------------------------------
% 0.20/0.53  % (23129)------------------------------
% 0.20/0.53  % (23132)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)
% 0.20/0.53  % (23131)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)
% 0.20/0.53  % (23151)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)
% 0.20/0.53  % (23133)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (23146)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53  % (23146)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (23146)Terminated due to inappropriate strategy.
% 0.20/0.53  % (23146)------------------------------
% 0.20/0.53  % (23146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (23146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (23146)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (23146)Memory used [KB]: 895
% 0.20/0.53  % (23146)Time elapsed: 0.001 s
% 0.20/0.53  % (23146)------------------------------
% 0.20/0.53  % (23146)------------------------------
% 0.20/0.53  % (23140)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)
% 0.20/0.53  % (23143)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)
% 0.20/0.53  % (23157)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.53  % (23137)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.54  % (23137)Instruction limit reached!
% 0.20/0.54  % (23137)------------------------------
% 0.20/0.54  % (23137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23137)Termination reason: Unknown
% 0.20/0.54  % (23137)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (23137)Memory used [KB]: 5373
% 0.20/0.54  % (23137)Time elapsed: 0.143 s
% 0.20/0.54  % (23137)Instructions burned: 3 (million)
% 0.20/0.54  % (23137)------------------------------
% 0.20/0.54  % (23137)------------------------------
% 0.20/0.54  % (23153)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54  % (23156)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
% 0.20/0.54  % (23156)------------------------------
% 0.20/0.54  % (23156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23156)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (23156)Memory used [KB]: 1023
% 0.20/0.54  % (23156)Time elapsed: 0.123 s
% 0.20/0.54  % (23156)Instructions burned: 11 (million)
% 0.20/0.54  % (23156)------------------------------
% 0.20/0.54  % (23156)------------------------------
% 0.20/0.54  % (23128)Success in time 0.183 s
%------------------------------------------------------------------------------