TSTP Solution File: COM004-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COM004-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 04:47:10 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   25 (   2 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   25 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(resolution,[],[f19,f5]) ).

fof(f5,axiom,
    failure_node(n_left,or(empty,atom)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_is_atom) ).

fof(f19,plain,
    ~ failure_node(n_left,or(empty,atom)),
    inference(resolution,[],[f18,f6]) ).

fof(f6,axiom,
    failure_node(n_right,or(empty,negate(atom))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_is_not_atom) ).

fof(f18,plain,
    ! [X0] :
      ( ~ failure_node(n_right,or(empty,negate(X0)))
      | ~ failure_node(n_left,or(empty,X0)) ),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X0] : contradictory(X0,negate(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_contradicts_not_x) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ contradictory(X1,X0)
      | ~ failure_node(n_left,or(empty,X1))
      | ~ failure_node(n_right,or(empty,X0)) ),
    inference(resolution,[],[f14,f12]) ).

fof(f12,plain,
    siblings(n_left,n_right),
    inference(forward_demodulation,[],[f10,f8]) ).

fof(f8,axiom,
    n_right = right_child_of(n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_equals_right_child_of_n) ).

fof(f10,plain,
    siblings(n_left,right_child_of(n)),
    inference(superposition,[],[f4,f7]) ).

fof(f7,axiom,
    n_left = left_child_of(n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_equals_left_child_of_n) ).

fof(f4,axiom,
    ! [X0] : siblings(left_child_of(X0),right_child_of(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_and_n_right_are_siblings) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( ~ siblings(X3,X2)
      | ~ failure_node(X2,or(empty,X1))
      | ~ failure_node(X3,or(empty,X0))
      | ~ contradictory(X0,X1) ),
    inference(resolution,[],[f1,f9]) ).

fof(f9,axiom,
    ! [X6] : ~ failure_node(X6,or(empty,empty)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_is_there_an_empty_node) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( failure_node(parent_of(X0,X1),or(X2,X3))
      | ~ contradictory(X4,X5)
      | ~ failure_node(X1,or(X3,X5))
      | ~ failure_node(X0,or(X2,X4))
      | ~ siblings(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_node) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09  % Problem    : COM004-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 21:27:23 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  % (20752)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (20755)WARNING: value z3 for option sas not known
% 0.15/0.32  % (20757)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32  % (20756)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (20758)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32  % (20753)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (20759)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32  % (20755)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (20754)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  % (20758)First to succeed.
% 0.15/0.32  % (20759)Also succeeded, but the first one will report.
% 0.15/0.32  % (20758)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20752"
% 0.15/0.32  TRYING [3]
% 0.15/0.32  % (20757)Also succeeded, but the first one will report.
% 0.15/0.32  % (20755)Also succeeded, but the first one will report.
% 0.15/0.33  % (20758)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33  % (20758)------------------------------
% 0.15/0.33  % (20758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33  % (20758)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (20758)Memory used [KB]: 745
% 0.15/0.33  % (20758)Time elapsed: 0.003 s
% 0.15/0.33  % (20758)Instructions burned: 3 (million)
% 0.15/0.33  % (20752)Success in time 0.017 s
%------------------------------------------------------------------------------