TSTP Solution File: SET027-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET027-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.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 : Wed Aug 31 18:23:15 EDT 2022

% Result   : Unsatisfiable 1.38s 0.54s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(subsumption_resolution,[],[f173,f150]) ).

fof(f150,plain,
    member(not_subclass_element(x,z),x),
    inference(resolution,[],[f2,f94]) ).

fof(f94,axiom,
    ~ subclass(x,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f173,plain,
    ~ member(not_subclass_element(x,z),x),
    inference(resolution,[],[f172,f170]) ).

fof(f170,plain,
    ! [X20] :
      ( member(X20,y)
      | ~ member(X20,x) ),
    inference(resolution,[],[f1,f92]) ).

fof(f92,axiom,
    subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f172,plain,
    ~ member(not_subclass_element(x,z),y),
    inference(resolution,[],[f171,f151]) ).

fof(f151,plain,
    ~ member(not_subclass_element(x,z),z),
    inference(resolution,[],[f3,f94]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f171,plain,
    ! [X21] :
      ( member(X21,z)
      | ~ member(X21,y) ),
    inference(resolution,[],[f1,f93]) ).

fof(f93,axiom,
    subclass(y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET027-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.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   : Tue Aug 30 12:58:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (19408)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (19401)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (19410)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (19399)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.53  % (19424)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.38/0.53  % (19405)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.53  % (19405)Instruction limit reached!
% 1.38/0.53  % (19405)------------------------------
% 1.38/0.53  % (19405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (19405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53  % (19405)Termination reason: Unknown
% 1.38/0.53  % (19405)Termination phase: Function definition elimination
% 1.38/0.53  
% 1.38/0.53  % (19405)Memory used [KB]: 1023
% 1.38/0.53  % (19405)Time elapsed: 0.003 s
% 1.38/0.53  % (19405)Instructions burned: 2 (million)
% 1.38/0.53  % (19405)------------------------------
% 1.38/0.53  % (19405)------------------------------
% 1.38/0.53  % (19419)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.38/0.53  % (19398)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.53  % (19426)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.38/0.54  % (19419)First to succeed.
% 1.38/0.54  % (19402)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.38/0.54  % (19419)Refutation found. Thanks to Tanya!
% 1.38/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.38/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.54  % (19419)------------------------------
% 1.38/0.54  % (19419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (19419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (19419)Termination reason: Refutation
% 1.38/0.54  
% 1.38/0.54  % (19419)Memory used [KB]: 1023
% 1.38/0.54  % (19419)Time elapsed: 0.088 s
% 1.38/0.54  % (19419)Instructions burned: 6 (million)
% 1.38/0.54  % (19419)------------------------------
% 1.38/0.54  % (19419)------------------------------
% 1.38/0.54  % (19396)Success in time 0.18 s
%------------------------------------------------------------------------------