TSTP Solution File: NUM791_8 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM791_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 14:37:42 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  13   ~;   7   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    rat: $tType ).

tff(func_def_0,type,
    x0: rat ).

tff(func_def_1,type,
    y0: rat ).

tff(pred_def_1,type,
    less: ( rat * rat ) > $o ).

tff(pred_def_2,type,
    is: ( rat * rat ) > $o ).

tff(pred_def_3,type,
    more: ( rat * rat ) > $o ).

tff(f28,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f19]) ).

tff(f19,plain,
    ~ is(x0,y0),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ~ is(x0,y0)
    & ~ less(x0,y0) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ( ~ less(x0,y0)
     => is(x0,y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).

tff(f27,plain,
    is(x0,y0),
    inference(subsumption_resolution,[],[f26,f18]) ).

tff(f18,plain,
    ~ less(x0,y0),
    inference(cnf_transformation,[],[f13]) ).

tff(f26,plain,
    ( less(x0,y0)
    | is(x0,y0) ),
    inference(resolution,[],[f21,f17]) ).

tff(f17,plain,
    ~ more(x0,y0),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ~ more(x0,y0),
    inference(flattening,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ more(x0,y0),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    more(x0,y0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81k) ).

tff(f21,plain,
    ! [X0: rat,X1: rat] :
      ( more(X0,X1)
      | less(X0,X1)
      | is(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: rat,X1: rat] :
      ( less(X0,X1)
      | more(X0,X1)
      | is(X0,X1) ),
    inference(flattening,[],[f15]) ).

tff(f15,plain,
    ! [X0: rat,X1: rat] :
      ( less(X0,X1)
      | more(X0,X1)
      | is(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: rat,X1: rat] :
      ( ~ is(X0,X1)
     => ( ~ more(X0,X1)
       => less(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: rat,X2: rat] :
      ( ~ is(X1,X2)
     => ( ~ more(X1,X2)
       => less(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM791_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.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   : Mon Apr 29 23:46:06 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24698)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (24703)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (24702)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (24699)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (24705)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)
% 0.14/0.37  % (24704)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (24701)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)
% 0.14/0.37  % (24700)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  Detected minimum model sizes of [1,1]
% 0.14/0.37  Detected maximum model sizes of [2,2]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected minimum model sizes of [1,1]
% 0.14/0.37  Detected maximum model sizes of [1,1,2]
% 0.14/0.37  Detected maximum model sizes of [2,2]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  % (24699)Refutation not found, incomplete strategy% (24699)------------------------------
% 0.14/0.37  % (24699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24705)Refutation not found, incomplete strategy% (24705)------------------------------
% 0.14/0.37  % (24705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24699)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (24705)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  
% 0.14/0.37  % (24699)Memory used [KB]: 719
% 0.14/0.37  % (24705)Memory used [KB]: 720
% 0.14/0.37  % (24699)Time elapsed: 0.003 s
% 0.14/0.37  % (24705)Time elapsed: 0.003 s
% 0.14/0.37  % (24699)Instructions burned: 2 (million)
% 0.14/0.37  % (24705)Instructions burned: 2 (million)
% 0.14/0.37  % (24699)------------------------------
% 0.14/0.37  % (24699)------------------------------
% 0.14/0.37  % (24705)------------------------------
% 0.14/0.37  % (24705)------------------------------
% 0.14/0.37  % (24702)Refutation not found, incomplete strategy% (24702)------------------------------
% 0.14/0.37  % (24702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24702)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (24702)Memory used [KB]: 720
% 0.14/0.37  % (24702)Time elapsed: 0.003 s
% 0.14/0.37  % (24702)Instructions burned: 2 (million)
% 0.14/0.37  % (24702)------------------------------
% 0.14/0.37  % (24702)------------------------------
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [1,1,2]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  % (24700)Refutation not found, incomplete strategy% (24700)------------------------------
% 0.14/0.37  % (24700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24700)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (24700)Memory used [KB]: 720
% 0.14/0.37  % (24700)Time elapsed: 0.002 s
% 0.14/0.37  % (24700)Instructions burned: 2 (million)
% 0.14/0.37  % (24700)------------------------------
% 0.14/0.37  % (24700)------------------------------
% 0.14/0.37  % (24703)First to succeed.
% 0.14/0.37  % (24701)Also succeeded, but the first one will report.
% 0.14/0.37  % (24703)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (24703)------------------------------
% 0.14/0.37  % (24703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (24703)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (24703)Memory used [KB]: 732
% 0.14/0.37  % (24703)Time elapsed: 0.004 s
% 0.14/0.37  % (24703)Instructions burned: 2 (million)
% 0.14/0.37  % (24703)------------------------------
% 0.14/0.37  % (24703)------------------------------
% 0.14/0.37  % (24698)Success in time 0.019 s
%------------------------------------------------------------------------------