TSTP Solution File: MSC022_2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MSC022_2 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 17:52:10 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :   19 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   54 (   0 atm;  16 fun;  19 num;  19 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   :   19 (  16   !;   3   ?;  19   :)

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

tff(f35,plain,
    $false,
    inference(resolution,[],[f30,f27]) ).

tff(f27,plain,
    ! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(37.0,X0),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,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(f30,plain,
    ! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum(32.0,$product(1.8,X0))),
    inference(forward_demodulation,[],[f29,f4]) ).

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

tff(f29,plain,
    ! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum($product(1.8,X0),32.0)),
    inference(equality_resolution,[],[f26]) ).

tff(f26,plain,
    ! [X0: $real,X1: $real] :
      ( celsius_fahrenheit_temperature_conversion(X0,X1)
      | ( $sum($product(1.8,X0),32.0) != X1 ) ),
    inference(cnf_transformation,[],[f25]) ).

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

tff(f23,plain,
    ! [X1: $real,X0: $real] :
      ( celsius_fahrenheit_temperature_conversion(X1,X0)
      | ( $sum($product(1.8,X1),32.0) != X0 ) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: $real,X1: $real] :
      ( ( $sum($product(1.8,X1),32.0) = X0 )
     => celsius_fahrenheit_temperature_conversion(X1,X0) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X1: $real,X0: $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
% 0.07/0.12  % Problem    : MSC022=2 : 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_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 03:26:34 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (3873)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.21/0.50  % (3890)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.21/0.50  % (3873)First to succeed.
% 0.21/0.50  % (3881)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.21/0.50  % (3873)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Theorem for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (3873)------------------------------
% 0.21/0.50  % (3873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (3873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (3873)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (3873)Memory used [KB]: 5500
% 0.21/0.50  % (3873)Time elapsed: 0.097 s
% 0.21/0.50  % (3873)Instructions burned: 3 (million)
% 0.21/0.50  % (3873)------------------------------
% 0.21/0.50  % (3873)------------------------------
% 0.21/0.50  % (3865)Success in time 0.151 s
%------------------------------------------------------------------------------