TSTP Solution File: MSC022_2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MSC022_2 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Tue Apr 30 13:57:49 EDT 2024

% Result   : Theorem 0.07s 0.28s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   42 (   0 atm;  12 fun;  15 num;  15 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  12   !;   3   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    celsius_fahrenheit_temperature_conversion: ( $real * $real ) > $o ).

tff(f49,plain,
    $false,
    inference(resolution,[],[f28,f24]) ).

tff(f24,plain,
    ! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(37.0,X0),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(37.0,X0),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ ? [X0: $real] : celsius_fahrenheit_temperature_conversion(37.0,X0),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ? [X1: $real] : celsius_fahrenheit_temperature_conversion(37.0,X1),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ? [X1: $real] : celsius_fahrenheit_temperature_conversion(37.0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',celsius_37_to_fahrenheit) ).

tff(f28,plain,
    ! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum(32.0,$product(1.8,X0))),
    inference(forward_demodulation,[],[f27,f4]) ).

tff(f4,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f27,plain,
    ! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum($product(1.8,X0),32.0)),
    inference(equality_resolution,[],[f25]) ).

tff(f25,plain,
    ! [X0: $real,X1: $real] :
      ( celsius_fahrenheit_temperature_conversion(X0,X1)
      | ( $sum($product(1.8,X0),32.0) != X1 ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $real,X1: $real] :
      ( celsius_fahrenheit_temperature_conversion(X0,X1)
      | ( $sum($product(1.8,X0),32.0) != X1 ) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $real,X1: $real] :
      ( ( $sum($product(1.8,X0),32.0) = X1 )
     => celsius_fahrenheit_temperature_conversion(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',celsius_fahrenheit_temperature_conversion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : MSC022_2 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.08  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27  % Computer : n017.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Mon Apr 29 21:37:03 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  % (15448)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.28  % (15451)WARNING: value z3 for option sas not known
% 0.07/0.28  % (15452)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.28  % (15449)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.28  % (15450)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.28  % (15451)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.28  % (15453)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.07/0.28  % (15454)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.07/0.28  % (15455)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.07/0.28  % (15449)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.28  % (15452)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.28  % (15450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.28  % (15452)Terminated due to inappropriate strategy.
% 0.07/0.28  % (15452)------------------------------
% 0.07/0.28  % (15452)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.28  % (15452)Termination reason: Inappropriate
% 0.07/0.28  % (15449)Terminated due to inappropriate strategy.
% 0.07/0.28  % (15449)------------------------------
% 0.07/0.28  % (15449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.28  
% 0.07/0.28  % (15449)Termination reason: Inappropriate
% 0.07/0.28  % (15450)Terminated due to inappropriate strategy.
% 0.07/0.28  % (15450)------------------------------
% 0.07/0.28  % (15450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.28  
% 0.07/0.28  % (15452)Memory used [KB]: 724
% 0.07/0.28  % (15450)Termination reason: Inappropriate
% 0.07/0.28  
% 0.07/0.28  % (15452)Time elapsed: 0.002 s
% 0.07/0.28  % (15449)Memory used [KB]: 724
% 0.07/0.28  % (15450)Memory used [KB]: 724
% 0.07/0.28  % (15449)Time elapsed: 0.001 s
% 0.07/0.28  % (15452)Instructions burned: 2 (million)
% 0.07/0.28  % (15450)Time elapsed: 0.002 s
% 0.07/0.28  % (15452)------------------------------
% 0.07/0.28  % (15452)------------------------------
% 0.07/0.28  % (15449)Instructions burned: 2 (million)
% 0.07/0.28  % (15450)Instructions burned: 2 (million)
% 0.07/0.28  % (15449)------------------------------
% 0.07/0.28  % (15449)------------------------------
% 0.07/0.28  % (15450)------------------------------
% 0.07/0.28  % (15450)------------------------------
% 0.07/0.28  % (15454)First to succeed.
% 0.07/0.28  % (15455)Also succeeded, but the first one will report.
% 0.07/0.28  % (15454)Refutation found. Thanks to Tanya!
% 0.07/0.28  % SZS status Theorem for theBenchmark
% 0.07/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.28  % (15454)------------------------------
% 0.07/0.28  % (15454)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.28  % (15454)Termination reason: Refutation
% 0.07/0.28  
% 0.07/0.28  % (15454)Memory used [KB]: 748
% 0.07/0.28  % (15454)Time elapsed: 0.003 s
% 0.07/0.28  % (15454)Instructions burned: 4 (million)
% 0.07/0.28  % (15454)------------------------------
% 0.07/0.28  % (15454)------------------------------
% 0.07/0.28  % (15448)Success in time 0.01 s
%------------------------------------------------------------------------------