TSTP Solution File: SET016-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 09:09:45 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   23 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   6   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(subsumption_resolution,[],[f53,f1]) ).

fof(f1,axiom,
    ! [X0] : member(X0,singleton_set(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_1) ).

fof(f53,plain,
    ~ member(m1,singleton_set(m1)),
    inference(superposition,[],[f9,f50]) ).

fof(f50,plain,
    singleton_set(m2) = singleton_set(m1),
    inference(subsumption_resolution,[],[f49,f9]) ).

fof(f49,plain,
    ( member(m1,singleton_set(m2))
    | singleton_set(m2) = singleton_set(m1) ),
    inference(superposition,[],[f3,f38]) ).

fof(f38,plain,
    ( singleton_set(m2) = unordered_pair(m1,r1)
    | singleton_set(m2) = singleton_set(m1) ),
    inference(resolution,[],[f29,f16]) ).

fof(f16,plain,
    member(singleton_set(m2),ordered_pair(m1,r1)),
    inference(superposition,[],[f15,f7]) ).

fof(f7,axiom,
    ordered_pair(m1,r1) = ordered_pair(m2,r2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_ordered_pairs) ).

fof(f15,plain,
    ! [X0,X1] : member(singleton_set(X0),ordered_pair(X0,X1)),
    inference(superposition,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,ordered_pair(X0,X1))
      | singleton_set(X0) = X2
      | unordered_pair(X0,X1) = X2 ),
    inference(superposition,[],[f5,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_3) ).

fof(f3,axiom,
    ! [X0,X1] : member(X0,unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_1) ).

fof(f9,plain,
    ~ member(m1,singleton_set(m2)),
    inference(unit_resulting_resolution,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ member(X0,singleton_set(X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_2) ).

fof(f8,axiom,
    m1 != m2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_first_components_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -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
% 0.14/0.36  % DateTime   : Fri May  3 16:46:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (15448)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (15452)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  % (15451)WARNING: value z3 for option sas not known
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (15450)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (15449)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  TRYING [4]
% 0.14/0.38  % (15451)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)
% 0.14/0.38  % (15454)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)
% 0.14/0.38  % (15453)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)
% 0.14/0.38  % (15455)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)
% 0.14/0.38  TRYING [5]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (15455)First to succeed.
% 0.14/0.38  % (15455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15448"
% 0.14/0.38  % (15451)Also succeeded, but the first one will report.
% 0.14/0.38  % (15453)Also succeeded, but the first one will report.
% 0.14/0.38  % (15455)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (15455)------------------------------
% 0.14/0.38  % (15455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (15455)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (15455)Memory used [KB]: 766
% 0.14/0.38  % (15455)Time elapsed: 0.006 s
% 0.14/0.38  % (15455)Instructions burned: 5 (million)
% 0.14/0.38  % (15448)Success in time 0.019 s
%------------------------------------------------------------------------------