TSTP Solution File: SET844-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET844-2 : 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 : n003.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 : Tue Apr 30 15:13:30 EDT 2024

% Result   : Unsatisfiable 0.08s 0.29s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   12 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(unit_resulting_resolution,[],[f5,f4,f6,f7,f3]) ).

fof(f3,axiom,
    ! [X3,X1,X4,X5] :
      ( ~ c_in(X5,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
      | c_lessequals(X5,X4,tc_set(tc_set(X1)))
      | c_Zorn_Osucc(X3,X4,X1) != X4
      | ~ c_in(X4,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

fof(f7,plain,
    ! [X0,X1] : c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
    inference(unit_resulting_resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ~ c_lessequals(X2,c_Zorn_OTFin(X3,X1),tc_set(tc_set(tc_set(X1))))
      | c_in(c_Union(X2,tc_set(X1)),c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f1,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f6,axiom,
    ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f5,axiom,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem    : SET844-2 : TPTP v8.1.2. Released v3.2.0.
% 0.01/0.08  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27  % Computer : n003.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Tue Apr 30 01:39:33 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.28  % (6892)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.28  % (6896)WARNING: value z3 for option sas not known
% 0.08/0.28  % (6898)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)
% 0.08/0.28  % (6894)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.28  % (6897)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.28  % (6896)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)
% 0.08/0.28  % (6895)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.28  % (6899)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)
% 0.08/0.28  % (6900)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)
% 0.08/0.29  TRYING [1]
% 0.08/0.29  TRYING [1]
% 0.08/0.29  % (6900)First to succeed.
% 0.08/0.29  TRYING [2]
% 0.08/0.29  TRYING [2]
% 0.08/0.29  % (6899)Also succeeded, but the first one will report.
% 0.08/0.29  % (6898)Also succeeded, but the first one will report.
% 0.08/0.29  % (6900)Refutation found. Thanks to Tanya!
% 0.08/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.29  % (6900)------------------------------
% 0.08/0.29  % (6900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.08/0.29  % (6900)Termination reason: Refutation
% 0.08/0.29  
% 0.08/0.29  % (6900)Memory used [KB]: 742
% 0.08/0.29  % (6900)Time elapsed: 0.002 s
% 0.08/0.29  % (6900)Instructions burned: 3 (million)
% 0.08/0.29  % (6900)------------------------------
% 0.08/0.29  % (6900)------------------------------
% 0.08/0.29  % (6892)Success in time 0.01 s
%------------------------------------------------------------------------------