TSTP Solution File: SYN674-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN674-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 12:11:53 EDT 2024

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   42 (  23   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f683,plain,
    $false,
    inference(subsumption_resolution,[],[f681,f370]) ).

fof(f370,plain,
    p2(f11(f4(c32),c34),f11(f4(c33),c34)),
    inference(resolution,[],[f289,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f289,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c33),c34),X0)
      | p2(f11(f4(c32),c34),X0) ),
    inference(subsumption_resolution,[],[f285,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).

fof(f285,plain,
    ! [X0] :
      ( ~ p25(c32,c33)
      | ~ p2(f11(f4(c33),c34),X0)
      | p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[],[f150,f12]) ).

fof(f12,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ p25(X0,c36)
      | ~ p25(c32,X0)
      | ~ p2(f11(f4(X0),c34),X1)
      | p2(f11(f4(c32),c34),X1) ),
    inference(resolution,[],[f51,f30]) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( ~ p2(X4,X31)
      | ~ p2(X4,X32)
      | p2(X31,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f51,axiom,
    ! [X82] :
      ( p2(f11(f4(X82),c34),f11(f4(c32),c34))
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).

fof(f681,plain,
    ~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
    inference(resolution,[],[f644,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( p2(f16(f11(f4(c33),c34),f9(f17(c31))),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[],[f39,f30]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

fof(f644,plain,
    ! [X0] : ~ p2(f16(X0,f9(f17(c31))),X0),
    inference(resolution,[],[f460,f6]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ~ p2(f9(f17(c31)),X1)
      | ~ p2(f16(X0,X1),X0) ),
    inference(resolution,[],[f270,f19]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f270,plain,
    ! [X2,X3,X0,X1] :
      ( p2(f16(X3,X1),f16(X2,X0))
      | ~ p2(X2,X3)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f134,f6]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p2(f16(X0,X2),X4)
      | ~ p2(X2,X3)
      | ~ p2(X0,X1)
      | p2(f16(X1,X3),X4) ),
    inference(resolution,[],[f49,f30]) ).

fof(f49,axiom,
    ! [X80,X78,X79,X77] :
      ( p2(f16(X77,X78),f16(X79,X80))
      | ~ p2(X77,X79)
      | ~ p2(X78,X80) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : SYN674-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.17  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.39  % Computer : n002.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Fri May  3 17:09:08 EDT 2024
% 0.21/0.39  % CPUTime    : 
% 0.21/0.39  % (18813)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (18815)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.41  % (18816)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)
% 0.21/0.41  % (18817)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.41  % (18818)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.41  % (18820)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)
% 0.21/0.41  % (18819)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.41  % (18814)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.41  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  Detected maximum model sizes of [2,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.21/0.41  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  Detected minimum model sizes of [1,1,1,1,1,1,1]
% 0.21/0.41  Detected maximum model sizes of [1,3,max,1,max,max,max]
% 0.21/0.41  TRYING [1]
% 0.21/0.41  TRYING [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [2]
% 0.21/0.41  TRYING [1,1,2,1,1,1,1]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [1,2,2,1,1,1,1]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [1,1,3,1,1,1,1]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [1,2,3,1,1,1,1]
% 0.21/0.43  TRYING [1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  % (18819)First to succeed.
% 0.21/0.43  % (18819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18813"
% 0.21/0.44  % (18819)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (18819)------------------------------
% 0.21/0.44  % (18819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44  % (18819)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (18819)Memory used [KB]: 1043
% 0.21/0.44  % (18819)Time elapsed: 0.027 s
% 0.21/0.44  % (18819)Instructions burned: 49 (million)
% 0.21/0.44  % (18813)Success in time 0.043 s
%------------------------------------------------------------------------------