TSTP Solution File: ITP209^3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP209^3 : TPTP v8.1.2. Released v8.1.0.
% 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 : n002.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 : Sun May  5 06:50:28 EDT 2024

% Result   : Theorem 0.23s 0.40s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   25 (  12 unt;  13 typ;   0 def)
%            Number of atoms       :   12 (  11 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   85 (   5   ~;   0   |;   0   &;  80   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^  13   !;   0   ?;  14   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(func_def_0,type,
    a: $tType ).

thf(func_def_1,type,
    syntax_ac_operator_a: ( a > a > a ) > $o ).

thf(func_def_2,type,
    a2: a ).

thf(func_def_3,type,
    b: a ).

thf(func_def_4,type,
    c: a ).

thf(func_def_5,type,
    f: a > a > a ).

thf(func_def_17,type,
    sK0: ( a > a > a ) > a ).

thf(func_def_18,type,
    sK1: ( a > a > a ) > a ).

thf(func_def_19,type,
    sK2: ( a > a > a ) > a ).

thf(func_def_20,type,
    sK3: ( a > a > a ) > a ).

thf(func_def_21,type,
    sK4: ( a > a > a ) > a ).

thf(func_def_23,type,
    ph6: 
      !>[X0: $tType] : X0 ).

thf(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f51,f45]) ).

thf(f45,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( f @ ( f @ X1 @ X2 ) @ X0 )
      = ( f @ X1 @ ( f @ X2 @ X0 ) ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f29,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( f @ ( f @ X1 @ X2 ) @ X0 )
      = ( f @ X1 @ ( f @ X2 @ X0 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X2: a,X0: a,X1: a] :
      ( ( f @ X0 @ ( f @ X1 @ X2 ) )
      = ( f @ ( f @ X0 @ X1 ) @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Vd2D7xSsrE/Vampire---4.8_11694',fact_3_right__assoc) ).

thf(f51,plain,
    ( ( f @ ( f @ a2 @ b ) @ c )
   != ( f @ a2 @ ( f @ b @ c ) ) ),
    inference(forward_demodulation,[],[f50,f42]) ).

thf(f42,plain,
    ! [X0: a,X1: a] :
      ( ( f @ X0 @ X1 )
      = ( f @ X1 @ X0 ) ),
    inference(cnf_transformation,[],[f2]) ).

thf(f2,axiom,
    ! [X0: a,X1: a] :
      ( ( f @ X0 @ X1 )
      = ( f @ X1 @ X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Vd2D7xSsrE/Vampire---4.8_11694',fact_1_commute) ).

thf(f50,plain,
    ( ( f @ ( f @ a2 @ b ) @ c )
   != ( f @ a2 @ ( f @ c @ b ) ) ),
    inference(forward_demodulation,[],[f48,f45]) ).

thf(f48,plain,
    ( ( f @ ( f @ a2 @ b ) @ c )
   != ( f @ ( f @ a2 @ c ) @ b ) ),
    inference(cnf_transformation,[],[f28]) ).

thf(f28,plain,
    ( ( f @ ( f @ a2 @ b ) @ c )
   != ( f @ ( f @ a2 @ c ) @ b ) ),
    inference(flattening,[],[f12]) ).

thf(f12,negated_conjecture,
    ( ( f @ ( f @ a2 @ b ) @ c )
   != ( f @ ( f @ a2 @ c ) @ b ) ),
    inference(negated_conjecture,[],[f11]) ).

thf(f11,conjecture,
    ( ( f @ ( f @ a2 @ b ) @ c )
    = ( f @ ( f @ a2 @ c ) @ b ) ),
    file('/export/starexec/sandbox/tmp/tmp.Vd2D7xSsrE/Vampire---4.8_11694',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : ITP209^3 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.16  % 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
% 0.15/0.37  % Computer : n002.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 19:19:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  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/tmp/tmp.Vd2D7xSsrE/Vampire---4.8_11694
% 0.15/0.39  % (11950)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.39  % (11949)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.39  % (11951)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.15/0.39  % (11952)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (11953)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (11954)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.39  % (11955)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39  % (11956)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39  % (11952)Instruction limit reached!
% 0.15/0.39  % (11952)------------------------------
% 0.15/0.39  % (11952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (11952)Termination reason: Unknown
% 0.15/0.39  % (11952)Termination phase: shuffling
% 0.15/0.39  % (11953)Instruction limit reached!
% 0.15/0.39  % (11953)------------------------------
% 0.15/0.39  % (11953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (11953)Termination reason: Unknown
% 0.15/0.39  % (11953)Termination phase: shuffling
% 0.15/0.39  
% 0.15/0.39  % (11953)Memory used [KB]: 895
% 0.15/0.39  % (11953)Time elapsed: 0.003 s
% 0.15/0.39  % (11953)Instructions burned: 2 (million)
% 0.15/0.39  % (11953)------------------------------
% 0.15/0.39  % (11953)------------------------------
% 0.15/0.39  
% 0.15/0.39  % (11952)Memory used [KB]: 895
% 0.15/0.39  % (11952)Time elapsed: 0.003 s
% 0.15/0.39  % (11952)Instructions burned: 2 (million)
% 0.15/0.39  % (11952)------------------------------
% 0.15/0.39  % (11952)------------------------------
% 0.23/0.39  % (11956)Instruction limit reached!
% 0.23/0.39  % (11956)------------------------------
% 0.23/0.39  % (11956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (11956)Termination reason: Unknown
% 0.23/0.39  % (11956)Termination phase: Property scanning
% 0.23/0.39  
% 0.23/0.39  % (11956)Memory used [KB]: 1023
% 0.23/0.39  % (11956)Time elapsed: 0.004 s
% 0.23/0.39  % (11956)Instructions burned: 3 (million)
% 0.23/0.39  % (11956)------------------------------
% 0.23/0.39  % (11956)------------------------------
% 0.23/0.39  % (11950)Instruction limit reached!
% 0.23/0.39  % (11950)------------------------------
% 0.23/0.39  % (11950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (11950)Termination reason: Unknown
% 0.23/0.39  % (11950)Termination phase: Function definition elimination
% 0.23/0.39  
% 0.23/0.39  % (11950)Memory used [KB]: 1023
% 0.23/0.39  % (11950)Time elapsed: 0.005 s
% 0.23/0.39  % (11950)Instructions burned: 5 (million)
% 0.23/0.39  % (11950)------------------------------
% 0.23/0.39  % (11950)------------------------------
% 0.23/0.39  % (11954)First to succeed.
% 0.23/0.40  % (11954)Refutation found. Thanks to Tanya!
% 0.23/0.40  % SZS status Theorem for Vampire---4
% 0.23/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.40  % (11954)------------------------------
% 0.23/0.40  % (11954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40  % (11954)Termination reason: Refutation
% 0.23/0.40  
% 0.23/0.40  % (11954)Memory used [KB]: 5500
% 0.23/0.40  % (11954)Time elapsed: 0.006 s
% 0.23/0.40  % (11954)Instructions burned: 4 (million)
% 0.23/0.40  % (11954)------------------------------
% 0.23/0.40  % (11954)------------------------------
% 0.23/0.40  % (11948)Success in time 0.007 s
% 0.23/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------