TSTP Solution File: SYO234^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO234^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 May 21 09:03:35 EDT 2024

% Result   : Theorem 0.21s 0.36s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   76 (   6 equ)
%            Maximal formula atoms :    1 (  10 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   66 (  66 fml;   0 var)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (   2   !;   4   ?;  12   :)

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

tff(type_def_6,type,
    c: $tType ).

tff(func_def_0,type,
    d: $tType ).

tff(func_def_1,type,
    c: $tType ).

tff(func_def_2,type,
    cB: sTfun(d,sTfun(c,$o)) ).

tff(func_def_3,type,
    cA: sTfun(c,sTfun(d,$o)) ).

tff(f8,plain,
    $false,
    inference(equality_resolution,[],[f7]) ).

tff(f7,plain,
    ! [X0: sTfun(c,sTfun(d,$o))] : ( vLAM(c,sTfun(d,$o),vLAM(d,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,db1(c)),db0(d))),vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,db0(d)),db1(c))))) != X0 ),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ! [X0: sTfun(c,sTfun(d,$o))] : ( vLAM(c,sTfun(d,$o),vLAM(d,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,db1(c)),db0(d))),vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,db0(d)),db1(c))))) != X0 ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ? [X0: sTfun(c,sTfun(d,$o))] : ( vLAM(c,sTfun(d,$o),vLAM(d,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,db1(c)),db0(d))),vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,db0(d)),db1(c))))) = X0 ),
    inference(fool_elimination,[],[f4]) ).

tff(f4,plain,
    ~ ? [X0: sTfun(c,sTfun(d,$o))] :
        ( X0
        = ( ^ [X1: c,X2: d] :
              ( vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,X2),X1)
              | vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,X1),X2) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: sTfun(c,sTfun(d,$o))] :
        ( X0
        = ( ^ [X1: c,X2: d] :
              ( vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,X2),X1)
              | vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,X1),X2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: sTfun(c,sTfun(d,$o))] :
      ( X0
      = ( ^ [X1: c,X2: d] :
            ( vAPP(c,$o,vAPP(d,sTfun(c,$o),cB,X2),X1)
            | vAPP(d,$o,vAPP(c,sTfun(d,$o),cA,X1),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSV4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO234^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 10:41:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36  % (21655)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.21/0.36  % (21655)First to succeed.
% 0.21/0.36  % (21655)Refutation found. Thanks to Tanya!
% 0.21/0.36  % SZS status Theorem for theBenchmark
% 0.21/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.36  % (21655)------------------------------
% 0.21/0.36  % (21655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.36  % (21655)Termination reason: Refutation
% 0.21/0.36  
% 0.21/0.36  % (21655)Memory used [KB]: 5373
% 0.21/0.36  % (21655)Time elapsed: 0.001 s
% 0.21/0.36  % (21655)------------------------------
% 0.21/0.36  % (21655)------------------------------
% 0.21/0.36  % (21652)Success in time 0.008 s
% 0.21/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------