TSTP Solution File: COL124-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL124-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Mon May 20 19:06:37 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   4 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,plain,
    $false,
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X3] : ~ c_in(c_Pair(c_Comb_OI,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OI__contract__E_0) ).

fof(f5,plain,
    ! [X0,X1] : c_in(c_Pair(X0,v_x(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),X0,X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(resolution,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X4,X5] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X4),X5),X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OK_0) ).

fof(f4,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(X0,v_x(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),X0,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(resolution,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Pair(X1,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(X0,v_x(X1,X0,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : COL124-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n027.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   : Sat May 18 13:18:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (26755)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (26757)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  Detected minimum model sizes of [1,1,1,1,1]
% 0.14/0.36  Detected maximum model sizes of [max,1,max,1,max]
% 0.14/0.36  TRYING [1,1,1,1,1]
% 0.14/0.36  TRYING [2,1,1,1,2]
% 0.14/0.36  TRYING [1,1,2,1,2]
% 0.14/0.36  TRYING [2,1,2,1,2]
% 0.14/0.36  TRYING [3,1,1,1,3]
% 0.14/0.36  TRYING [2,1,3,1,3]
% 0.14/0.36  TRYING [3,1,3,1,3]
% 0.14/0.36  % (26756)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36  TRYING [3,1,2,1,3]
% 0.14/0.36  % (26758)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)
% 0.14/0.36  % (26760)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36  % (26759)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36  % (26761)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36  % (26762)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)
% 0.14/0.36  % (26758)Also succeeded, but the first one will report.
% 0.14/0.36  % (26760)First to succeed.
% 0.14/0.36  % (26761)Also succeeded, but the first one will report.
% 0.14/0.36  TRYING [2,1,4,1,4]
% 0.14/0.36  % (26760)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26755"
% 0.14/0.36  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1,1,1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,1,max,1,max]
% 0.14/0.37  TRYING [1,1,1,1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  % (26760)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (26760)------------------------------
% 0.14/0.37  % (26760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (26760)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (26760)Memory used [KB]: 745
% 0.14/0.37  % (26760)Time elapsed: 0.003 s
% 0.14/0.37  % (26760)Instructions burned: 2 (million)
% 0.14/0.37  % (26755)Success in time 0.019 s
%------------------------------------------------------------------------------