TSTP Solution File: SYN560-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN560-1 : 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 : n009.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 08:36:49 EDT 2024

% Result   : Unsatisfiable 3.65s 0.87s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  17   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41624,plain,
    $false,
    inference(subsumption_resolution,[],[f41623,f11]) ).

fof(f11,axiom,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_11) ).

fof(f41623,plain,
    p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    inference(subsumption_resolution,[],[f41606,f2]) ).

fof(f2,axiom,
    ~ p2(c9,f3(c10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_2) ).

fof(f41606,plain,
    ( p2(c9,f3(c10))
    | p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(resolution,[],[f31087,f10]) ).

fof(f10,axiom,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_10) ).

fof(f31087,plain,
    ! [X2,X0,X1] :
      ( ~ p8(X1,f6(X0,X2))
      | p2(X0,f3(c10))
      | p8(X1,f6(X0,f4(X2))) ),
    inference(resolution,[],[f31083,f9]) ).

fof(f9,axiom,
    ! [X10,X11,X12] :
      ( ~ p8(X12,X11)
      | ~ p8(X10,X12)
      | p8(X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9) ).

fof(f31083,plain,
    ! [X0,X1] :
      ( p8(f6(X0,X1),f6(X0,f4(X1)))
      | p2(X0,f3(c10)) ),
    inference(resolution,[],[f2435,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f2435,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f6(X0,X1),X2)
      | p2(X0,f3(c10))
      | p8(X2,f6(X0,f4(X1))) ),
    inference(resolution,[],[f783,f573]) ).

fof(f573,plain,
    ! [X0,X1] : p2(f6(X0,f5(X1,f3(f7(c10)))),f6(X0,f4(X1))),
    inference(resolution,[],[f495,f43]) ).

fof(f43,plain,
    ! [X0] : p2(f5(X0,f3(f7(c10))),f4(X0)),
    inference(resolution,[],[f34,f4]) ).

fof(f4,axiom,
    ! [X1] : p2(f4(X1),f5(X1,f3(f7(c10)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,axiom,
    ! [X0,X8,X9] :
      ( ~ p2(X0,X9)
      | ~ p2(X0,X8)
      | p2(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

fof(f495,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f6(X2,X0),f6(X2,X1)) ),
    inference(resolution,[],[f14,f1]) ).

fof(f14,axiom,
    ! [X21,X24,X22,X23] :
      ( ~ p2(X21,X23)
      | ~ p2(X22,X24)
      | p2(f6(X21,X22),f6(X23,X24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

fof(f783,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f6(X0,f5(X1,f3(f7(c10)))),X2)
      | p2(X0,f3(c10))
      | ~ p2(f6(X0,X1),X3)
      | p8(X3,X2) ),
    inference(resolution,[],[f15,f12]) ).

fof(f12,axiom,
    ! [X16,X14,X15,X13] :
      ( ~ p8(X16,X15)
      | ~ p2(X15,X14)
      | ~ p2(X16,X13)
      | p8(X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_12) ).

fof(f15,axiom,
    ! [X26,X25] :
      ( p8(f6(X25,X26),f6(X25,f5(X26,f3(f7(c10)))))
      | p2(X25,f3(c10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN560-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 14:05:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (22990)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (22994)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (22991)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (22995)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (22992)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (22996)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (22993)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)
% 0.20/0.37  % (22997)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.51  TRYING [5]
% 0.20/0.51  TRYING [5]
% 1.44/0.54  TRYING [5]
% 1.54/0.59  TRYING [5]
% 3.65/0.87  % (22995)First to succeed.
% 3.65/0.87  % (22995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22990"
% 3.65/0.87  % (22995)Refutation found. Thanks to Tanya!
% 3.65/0.87  % SZS status Unsatisfiable for theBenchmark
% 3.65/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/0.87  % (22995)------------------------------
% 3.65/0.87  % (22995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.65/0.87  % (22995)Termination reason: Refutation
% 3.65/0.87  
% 3.65/0.87  % (22995)Memory used [KB]: 14869
% 3.65/0.87  % (22995)Time elapsed: 0.501 s
% 3.65/0.87  % (22995)Instructions burned: 1682 (million)
% 3.65/0.87  % (22990)Success in time 0.512 s
%------------------------------------------------------------------------------