TSTP Solution File: SYO231^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO231^5 : 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 : n018.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 0.16s 0.41s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   46 (   6 equ)
%            Maximal formula atoms :    1 (   6 avg)
%            Number of connectives :   11 (   8   ~;   0   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   36 (  36 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   2   !;   4   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    cB: sTfun($i,$o) ).

tff(func_def_1,type,
    cA: sTfun($i,$o) ).

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

tff(f7,plain,
    ! [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0 ),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ! [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0 ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ? [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) = X0 ),
    inference(fool_elimination,[],[f4]) ).

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

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

tff(f1,conjecture,
    ? [X0: sTfun($i,$o)] :
      ( X0
      = ( ^ [X1: $i] :
            ( vAPP($i,$o,cB,X1)
            & ~ vAPP($i,$o,cA,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSV6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : SYO231^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.17  % 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
% 0.16/0.38  % Computer : n018.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon May 20 11:01:08 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a TH0_THM_EQU_NAR problem
% 0.16/0.39  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
% 0.16/0.41  % (13551)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.16/0.41  % (13554)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.41  % (13553)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 theBenchmark for (3000ds/27Mi)
% 0.16/0.41  % (13557)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.41  % (13558)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.16/0.41  % (13555)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.41  % (13556)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.16/0.41  % (13552)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 theBenchmark for (3000ds/4Mi)
% 0.16/0.41  % (13558)First to succeed.
% 0.16/0.41  % (13557)Also succeeded, but the first one will report.
% 0.16/0.41  % (13555)Instruction limit reached!
% 0.16/0.41  % (13555)------------------------------
% 0.16/0.41  % (13555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (13555)Termination reason: Unknown
% 0.16/0.41  % (13555)Termination phase: Saturation
% 0.16/0.41  
% 0.16/0.41  % (13555)Memory used [KB]: 5500
% 0.16/0.41  % (13555)Time elapsed: 0.003 s
% 0.16/0.41  % (13555)Instructions burned: 2 (million)
% 0.16/0.41  % (13555)------------------------------
% 0.16/0.41  % (13555)------------------------------
% 0.16/0.41  % (13558)Refutation found. Thanks to Tanya!
% 0.16/0.41  % SZS status Theorem for theBenchmark
% 0.16/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41  % (13558)------------------------------
% 0.16/0.41  % (13558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (13558)Termination reason: Refutation
% 0.16/0.41  
% 0.16/0.41  % (13558)Memory used [KB]: 5373
% 0.16/0.41  % (13558)Time elapsed: 0.002 s
% 0.16/0.41  % (13558)------------------------------
% 0.16/0.41  % (13558)------------------------------
% 0.16/0.41  % (13550)Success in time 0.016 s
% 0.16/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------