TSTP Solution File: SET849-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET849-1 : 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 : n027.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 09:19:18 EDT 2024

% Result   : Unsatisfiable 5.74s 1.19s
% Output   : Refutation 5.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16517,plain,
    $false,
    inference(trivial_inequality_removal,[],[f16515]) ).

fof(f16515,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(superposition,[],[f1365,f9872]) ).

fof(f9872,plain,
    ! [X0,X1] : c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),
    inference(subsumption_resolution,[],[f9862,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f9862,plain,
    ! [X0,X1] :
      ( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)
      | ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))) ),
    inference(resolution,[],[f1362,f1359]) ).

fof(f1359,axiom,
    ! [X2,X40,X54] :
      ( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f1362,axiom,
    ! [X40,X2] :
      ( ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

fof(f1365,axiom,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET849-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n027.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 16:57:38 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % (11315)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (11330)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40  % (11331)WARNING: value z3 for option sas not known
% 0.15/0.40  % (11331)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)
% 0.15/0.40  % (11334)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)
% 0.15/0.40  % (11329)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40  % (11333)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)
% 0.15/0.41  % (11335)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)
% 0.15/0.41  % (11332)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.52  TRYING [2]
% 1.97/0.64  TRYING [1]
% 1.97/0.65  TRYING [2]
% 1.97/0.66  TRYING [3]
% 2.40/0.75  TRYING [3]
% 2.77/0.78  TRYING [1]
% 2.77/0.83  TRYING [2]
% 5.74/1.18  % (11331)First to succeed.
% 5.74/1.18  % (11331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11315"
% 5.74/1.19  % (11331)Refutation found. Thanks to Tanya!
% 5.74/1.19  % SZS status Unsatisfiable for theBenchmark
% 5.74/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 5.74/1.19  % (11331)------------------------------
% 5.74/1.19  % (11331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.74/1.19  % (11331)Termination reason: Refutation
% 5.74/1.19  
% 5.74/1.19  % (11331)Memory used [KB]: 11182
% 5.74/1.19  % (11331)Time elapsed: 0.788 s
% 5.74/1.19  % (11331)Instructions burned: 1381 (million)
% 5.74/1.19  % (11315)Success in time 0.825 s
%------------------------------------------------------------------------------