TSTP Solution File: SYN570-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN570-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 08:36:52 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   53 (  32   ~;  20   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(resolution,[],[f55,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f55,plain,
    ~ p2(c12,c12),
    inference(resolution,[],[f50,f8]) ).

fof(f8,axiom,
    p2(c12,f5(c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

fof(f50,plain,
    ! [X0] :
      ( ~ p2(X0,f5(c15))
      | ~ p2(X0,c12) ),
    inference(resolution,[],[f47,f18]) ).

fof(f18,axiom,
    ! [X21,X4,X20] :
      ( p2(X20,X21)
      | ~ p2(X4,X20)
      | ~ p2(X4,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

fof(f47,plain,
    ~ p2(f5(c15),c12),
    inference(resolution,[],[f40,f9]) ).

fof(f9,axiom,
    ! [X5] : p3(f4(f5(X5)),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).

fof(f40,plain,
    ! [X0] :
      ( ~ p3(f4(X0),c15)
      | ~ p2(X0,c12) ),
    inference(resolution,[],[f39,f13]) ).

fof(f13,axiom,
    ! [X10,X11] :
      ( p3(f4(X10),f4(X11))
      | ~ p2(X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).

fof(f39,plain,
    ! [X0] :
      ( ~ p3(X0,f4(c12))
      | ~ p3(X0,c15) ),
    inference(resolution,[],[f37,f17]) ).

fof(f17,axiom,
    ! [X3,X18,X19] :
      ( p3(X18,X19)
      | ~ p3(X3,X18)
      | ~ p3(X3,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).

fof(f37,plain,
    ~ p3(c15,f4(c12)),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    p9(c15,f8(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_7) ).

fof(f31,plain,
    ! [X0] :
      ( ~ p9(X0,f8(c13))
      | ~ p3(X0,f4(c12)) ),
    inference(resolution,[],[f26,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ p3(X0,f4(c12))
      | ~ p7(X1,f8(c13))
      | ~ p9(X0,X1) ),
    inference(resolution,[],[f25,f23]) ).

fof(f23,plain,
    ! [X24,X25,X23] :
      ( sP1(X23,X25)
      | ~ p7(X24,X23)
      | ~ p9(X25,X24) ),
    inference(cnf_transformation,[],[f23_D]) ).

fof(f23_D,plain,
    ! [X25,X23] :
      ( ! [X24] :
          ( ~ p7(X24,X23)
          | ~ p9(X25,X24) )
    <=> ~ sP1(X23,X25) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ sP1(f8(c13),X0)
      | ~ p3(X0,f4(c12)) ),
    inference(resolution,[],[f24,f10]) ).

fof(f10,axiom,
    ~ p9(f4(c12),f8(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_10) ).

fof(f24,plain,
    ! [X22,X25,X23] :
      ( p9(X22,X23)
      | ~ p3(X25,X22)
      | ~ sP1(X23,X25) ),
    inference(general_splitting,[],[f19,f23_D]) ).

fof(f19,axiom,
    ! [X24,X22,X25,X23] :
      ( ~ p9(X25,X24)
      | ~ p7(X24,X23)
      | ~ p3(X25,X22)
      | p9(X22,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN570-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 15:26:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (8489)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (8494)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (8491)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (8493)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (8492)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)
% 0.15/0.38  % (8496)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)
% 0.15/0.38  % (8490)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (8495)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1,1,1,1,1,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected maximum model sizes of [max,1,max,max,max,max]
% 0.15/0.38  TRYING [1,1,1,1,1,1]
% 0.15/0.38  Detected minimum model sizes of [1,1,1]
% 0.15/0.38  Detected maximum model sizes of [max,1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1,1,1]
% 0.15/0.38  TRYING [2,1,1,1,1,1]
% 0.15/0.38  TRYING [2,1,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (8495)Also succeeded, but the first one will report.
% 0.15/0.38  % (8492)First to succeed.
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3,1,1,1,1,1]
% 0.15/0.38  TRYING [3,1,1]
% 0.15/0.38  % (8492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8489"
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4,1,1,1,1,1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  % (8492)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (8492)------------------------------
% 0.15/0.38  % (8492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (8492)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (8492)Memory used [KB]: 827
% 0.15/0.38  % (8492)Time elapsed: 0.004 s
% 0.15/0.38  % (8492)Instructions burned: 4 (million)
% 0.15/0.38  % (8489)Success in time 0.004 s
%------------------------------------------------------------------------------