TSTP Solution File: SET940+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET940+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 09:19:45 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(trivial_inequality_removal,[],[f30]) ).

fof(f30,plain,
    union(unordered_pair(sK0,sK1)) != union(unordered_pair(sK0,sK1)),
    inference(definition_unfolding,[],[f21,f25]) ).

fof(f25,plain,
    ! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l52_zfmisc_1) ).

fof(f21,plain,
    set_union2(sK0,sK1) != union(unordered_pair(sK0,sK1)),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    set_union2(sK0,sK1) != union(unordered_pair(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f15]) ).

fof(f15,plain,
    ( ? [X0,X1] : set_union2(X0,X1) != union(unordered_pair(X0,X1))
   => set_union2(sK0,sK1) != union(unordered_pair(sK0,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0,X1] : set_union2(X0,X1) != union(unordered_pair(X0,X1)),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET940+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 16:44:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7958)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (7961)WARNING: value z3 for option sas not known
% 0.14/0.38  % (7959)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (7963)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  % (7960)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  % (7962)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (7961)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  % (7964)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  % (7965)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  % (7963)First to succeed.
% 0.14/0.38  % (7965)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (7963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7958"
% 0.14/0.38  % (7964)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (7963)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (7963)------------------------------
% 0.14/0.38  % (7963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (7963)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (7963)Memory used [KB]: 734
% 0.14/0.38  % (7963)Time elapsed: 0.003 s
% 0.14/0.38  % (7963)Instructions burned: 2 (million)
% 0.14/0.38  % (7958)Success in time 0.007 s
%------------------------------------------------------------------------------