TSTP Solution File: ARI173_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI173_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 : 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 : Mon May 20 18:49:36 EDT 2024

% Result   : Theorem 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   64 (   6 atm;  24 fun;  21 num;  13 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   :   13 (  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f984,plain,
    $false,
    inference(evaluation,[],[f964]) ).

tff(f964,plain,
    ~ $less($product(-5,$sum(1,3)),-12),
    inference(superposition,[],[f28,f169]) ).

tff(f169,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f28,plain,
    ! [X0: $int] : ~ $less($sum(-5,$product(X0,3)),-12),
    inference(backward_demodulation,[],[f22,f3]) ).

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

tff(f22,plain,
    ! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less($sum($product(X0,3),-5),-12),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less($sum($product(X0,3),-5),-12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI173_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n029.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   : Sun May 19 13:09:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (5767)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (5773)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (5770)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)
% 0.13/0.36  % (5769)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (5772)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (5768)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (5769)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (5769)Terminated due to inappropriate strategy.
% 0.13/0.36  % (5769)------------------------------
% 0.13/0.36  % (5769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (5769)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (5769)Memory used [KB]: 718
% 0.13/0.36  % (5769)Time elapsed: 0.002 s
% 0.13/0.36  % (5769)Instructions burned: 2 (million)
% 0.13/0.36  % (5768)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (5768)Terminated due to inappropriate strategy.
% 0.13/0.36  % (5768)------------------------------
% 0.13/0.36  % (5768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (5768)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (5768)Memory used [KB]: 718
% 0.13/0.36  % (5768)Time elapsed: 0.002 s
% 0.13/0.36  % (5768)Instructions burned: 2 (million)
% 0.13/0.36  % (5769)------------------------------
% 0.13/0.36  % (5769)------------------------------
% 0.13/0.36  % (5768)------------------------------
% 0.13/0.36  % (5768)------------------------------
% 0.13/0.36  % (5771)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (5771)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (5771)Terminated due to inappropriate strategy.
% 0.13/0.36  % (5771)------------------------------
% 0.13/0.36  % (5771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (5771)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (5771)Memory used [KB]: 719
% 0.13/0.36  % (5771)Time elapsed: 0.003 s
% 0.13/0.36  % (5771)Instructions burned: 2 (million)
% 0.13/0.36  % (5771)------------------------------
% 0.13/0.36  % (5771)------------------------------
% 0.13/0.37  % (5774)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)
% 0.13/0.37  % (5774)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37  % (5774)Terminated due to inappropriate strategy.
% 0.13/0.37  % (5774)------------------------------
% 0.13/0.37  % (5774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (5774)Termination reason: Inappropriate
% 0.13/0.37  
% 0.13/0.37  % (5774)Memory used [KB]: 719
% 0.13/0.37  % (5774)Time elapsed: 0.002 s
% 0.13/0.37  % (5774)Instructions burned: 2 (million)
% 0.13/0.37  % (5774)------------------------------
% 0.13/0.37  % (5774)------------------------------
% 0.20/0.38  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.20/0.38  % (5776)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)
% 0.20/0.38  % (5775)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)
% 0.20/0.38  % (5775)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.38  % (5775)Terminated due to inappropriate strategy.
% 0.20/0.38  % (5775)------------------------------
% 0.20/0.38  % (5775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (5775)Termination reason: Inappropriate
% 0.20/0.38  
% 0.20/0.38  % (5775)Memory used [KB]: 719
% 0.20/0.38  % (5775)Time elapsed: 0.002 s
% 0.20/0.38  % (5775)Instructions burned: 2 (million)
% 0.20/0.38  % (5775)------------------------------
% 0.20/0.38  % (5775)------------------------------
% 0.20/0.38  % (5777)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)
% 0.20/0.38  % (5777)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.38  % (5777)Terminated due to inappropriate strategy.
% 0.20/0.38  % (5777)------------------------------
% 0.20/0.38  % (5777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (5777)Termination reason: Inappropriate
% 0.20/0.38  
% 0.20/0.38  % (5777)Memory used [KB]: 719
% 0.20/0.38  % (5777)Time elapsed: 0.002 s
% 0.20/0.38  % (5777)Instructions burned: 2 (million)
% 0.20/0.38  % (5777)------------------------------
% 0.20/0.38  % (5777)------------------------------
% 0.20/0.39  % (5773)First to succeed.
% 0.20/0.39  % (5773)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5767"
% 0.20/0.39  % (5773)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Theorem for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (5773)------------------------------
% 0.20/0.39  % (5773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39  % (5773)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (5773)Memory used [KB]: 1026
% 0.20/0.39  % (5773)Time elapsed: 0.028 s
% 0.20/0.39  % (5773)Instructions burned: 54 (million)
% 0.20/0.39  % (5767)Success in time 0.051 s
%------------------------------------------------------------------------------