TSTP Solution File: ARI493_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI493_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 18:50:27 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  16   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  130 (  30 atm;  37 fun;  23 num;  40 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    :    8 (   0 usr;   6 con; 0-2 aty)
%            Number of variables   :   40 (  38   !;   2   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1351,plain,
    $false,
    inference(evaluation,[],[f1332]) ).

tff(f1332,plain,
    ~ $less(-6.5,-3.0),
    inference(resolution,[],[f137,f476]) ).

tff(f476,plain,
    ! [X0: $real] : $less($sum(-3.0,X0),X0),
    inference(evaluation,[],[f473]) ).

tff(f473,plain,
    ! [X0: $real] : $less($sum($uminus(3.0),X0),X0),
    inference(superposition,[],[f265,f126]) ).

tff(f126,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
    inference(evaluation,[],[f104]) ).

tff(f104,plain,
    ! [X0: $real,X1: $real] : ( $sum(0.0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f4,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f265,plain,
    ! [X0: $real] : $less(X0,$sum(3.0,X0)),
    inference(evaluation,[],[f256]) ).

tff(f256,plain,
    ! [X0: $real] : $less(X0,$sum(2.0,$sum(1.0,X0))),
    inference(resolution,[],[f191,f30]) ).

tff(f30,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(1.0,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f12,f3]) ).

tff(f3,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f12,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

tff(f191,plain,
    ! [X0: $real] : ~ $less($sum(2.0,X0),X0),
    inference(resolution,[],[f102,f34]) ).

tff(f34,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X0) ),
    inference(resolution,[],[f9,f8]) ).

tff(f8,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f9,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_143,[]) ).

tff(f102,plain,
    ! [X0: $real] : $less(X0,$sum(2.0,X0)),
    inference(evaluation,[],[f96]) ).

tff(f96,plain,
    ! [X0: $real] : $less(X0,$sum($sum(X0,1.0),1.0)),
    inference(resolution,[],[f68,f12]) ).

tff(f68,plain,
    ! [X0: $real] : ~ $less($sum(X0,1.0),X0),
    inference(resolution,[],[f34,f29]) ).

tff(f29,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f12,f8]) ).

tff(f137,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less($sum(X0,X1),-6.5)
      | ~ $less(X1,X0) ),
    inference(resolution,[],[f35,f11]) ).

tff(f11,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_145,[]) ).

tff(f35,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less($sum(X1,X1),X0)
      | ~ $less(X0,-6.5) ),
    inference(resolution,[],[f9,f15]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less($sum(X0,X0),-6.5),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ~ $less($sum(X0,X0),-6.5),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less($sum(X0,X0),-6.5),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less($sum(X0,X0),-6.5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI493_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 13:18:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (31284)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (31288)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.36  % (31288)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.36  % (31288)Terminated due to inappropriate strategy.
% 0.15/0.36  % (31288)------------------------------
% 0.15/0.36  % (31288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36  % (31288)Termination reason: Inappropriate
% 0.15/0.36  
% 0.15/0.36  % (31288)Memory used [KB]: 716
% 0.15/0.36  % (31288)Time elapsed: 0.001 s
% 0.15/0.36  % (31288)Instructions burned: 2 (million)
% 0.15/0.36  % (31288)------------------------------
% 0.15/0.36  % (31288)------------------------------
% 0.15/0.37  % (31286)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (31287)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (31289)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (31291)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (31286)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (31285)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (31286)Terminated due to inappropriate strategy.
% 0.15/0.37  % (31286)------------------------------
% 0.15/0.37  % (31286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (31286)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  % (31286)Memory used [KB]: 716
% 0.15/0.37  % (31286)Time elapsed: 0.002 s
% 0.15/0.37  % (31286)Instructions burned: 2 (million)
% 0.15/0.37  % (31290)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (31286)------------------------------
% 0.15/0.37  % (31286)------------------------------
% 0.15/0.37  % (31291)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (31285)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (31291)Terminated due to inappropriate strategy.
% 0.15/0.37  % (31291)------------------------------
% 0.15/0.37  % (31291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (31285)Terminated due to inappropriate strategy.
% 0.15/0.37  % (31285)------------------------------
% 0.15/0.37  % (31285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (31285)Termination reason: Inappropriate
% 0.15/0.37  % (31291)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  
% 0.15/0.37  % (31285)Memory used [KB]: 716
% 0.15/0.37  % (31291)Memory used [KB]: 717
% 0.15/0.37  % (31291)Time elapsed: 0.002 s
% 0.15/0.37  % (31285)Time elapsed: 0.002 s
% 0.15/0.37  % (31291)Instructions burned: 2 (million)
% 0.15/0.37  % (31285)Instructions burned: 2 (million)
% 0.15/0.37  % (31291)------------------------------
% 0.15/0.37  % (31291)------------------------------
% 0.15/0.37  % (31285)------------------------------
% 0.15/0.37  % (31285)------------------------------
% 0.15/0.37  % (31292)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (31292)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37  % (31292)Terminated due to inappropriate strategy.
% 0.15/0.37  % (31292)------------------------------
% 0.15/0.37  % (31292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (31292)Termination reason: Inappropriate
% 0.15/0.37  
% 0.15/0.37  % (31292)Memory used [KB]: 717
% 0.15/0.37  % (31292)Time elapsed: 0.001 s
% 0.15/0.37  % (31292)Instructions burned: 2 (million)
% 0.15/0.37  % (31292)------------------------------
% 0.15/0.37  % (31292)------------------------------
% 0.15/0.38  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.38  % (31293)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (31294)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.38  % (31294)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (31294)Terminated due to inappropriate strategy.
% 0.15/0.38  % (31294)------------------------------
% 0.15/0.38  % (31294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (31294)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (31294)Memory used [KB]: 717
% 0.15/0.38  % (31294)Time elapsed: 0.002 s
% 0.15/0.38  % (31294)Instructions burned: 2 (million)
% 0.15/0.39  % (31295)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (31294)------------------------------
% 0.15/0.39  % (31294)------------------------------
% 0.15/0.39  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39  % (31296)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.40  % (31287)First to succeed.
% 0.21/0.40  % (31287)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31284"
% 0.21/0.40  % (31287)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Theorem for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (31287)------------------------------
% 0.21/0.41  % (31287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (31287)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (31287)Memory used [KB]: 1133
% 0.21/0.41  % (31287)Time elapsed: 0.038 s
% 0.21/0.41  % (31287)Instructions burned: 67 (million)
% 0.21/0.41  % (31284)Success in time 0.051 s
%------------------------------------------------------------------------------