TSTP Solution File: TOP003-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : TOP003-2 : 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 : n009.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 18:25:13 EDT 2024

% Result   : Satisfiable 0.15s 0.33s
% Output   : Saturation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(set_theory_7,axiom,
    ( subset_sets(X2,union_of_members(X3))
    | ~ element_of_collection(X2,X3) ) ).

cnf(topology_generated_40,axiom,
    ( element_of_set(f11(X1,X0),X0)
    | element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(set_theory_9,axiom,
    subset_sets(X2,X2) ).

cnf(set_theory_11,axiom,
    ( subset_sets(X3,X4)
    | ~ subset_sets(X2,X4)
    | ~ equal_sets(X2,X3) ) ).

cnf(set_theory_8,axiom,
    ( element_of_set(X0,X3)
    | ~ subset_sets(X2,X3)
    | ~ element_of_set(X0,X2) ) ).

cnf(set_theory_10,axiom,
    ( subset_sets(X4,X3)
    | ~ subset_sets(X4,X2)
    | ~ equal_sets(X2,X3) ) ).

cnf(union_of_members_1,axiom,
    ( element_of_set(X0,f1(X1,X0))
    | ~ element_of_set(X0,union_of_members(X1)) ) ).

cnf(lemma_1c_2,negated_conjecture,
    ~ element_of_collection(cx,top_of_basis(f)) ).

cnf(lemma_1c_1,negated_conjecture,
    basis(cx,f) ).

cnf(basis_for_topology_28,axiom,
    ( equal_sets(union_of_members(X1),X2)
    | ~ basis(X2,X1) ) ).

cnf(union_of_members_2,axiom,
    ( element_of_collection(f1(X1,X0),X1)
    | ~ element_of_set(X0,union_of_members(X1)) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : TOP003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n009.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 01:57:26 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.31  % (11936)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (11939)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.33  % (11941)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33  % (11940)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33  % (11938)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33  % (11937)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  % (11939)First to succeed.
% 0.15/0.33  % (11942)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [1,1,1]
% 0.15/0.33  TRYING [1,1,1]
% 0.15/0.33  TRYING [1,2,1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [1,2,1]
% 0.15/0.33  TRYING [2,2,1]
% 0.15/0.33  % (11943)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  TRYING [2,2,1]
% 0.15/0.33  Finite Model Found!
% 0.15/0.33  % SZS status Satisfiable for theBenchmark
% 0.15/0.33  Finite Model Found!
% 0.15/0.33  % (11937)Also succeeded, but the first one will report.
% 0.15/0.33  % SZS status Satisfiable for theBenchmark
% 0.15/0.33  % SZS status Satisfiable for theBenchmark
% 0.15/0.33  % (11939)# SZS output start Saturation.
% See solution above
% 0.15/0.33  % (11939)------------------------------
% 0.15/0.33  % (11939)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33  % (11939)Termination reason: Satisfiable
% 0.15/0.33  
% 0.15/0.33  % (11939)Memory used [KB]: 749
% 0.15/0.33  % (11939)Time elapsed: 0.003 s
% 0.15/0.33  % (11939)Instructions burned: 2 (million)
% 0.15/0.33  % (11939)------------------------------
% 0.15/0.33  % (11939)------------------------------
% 0.15/0.33  % (11936)Success in time 0.016 s
%------------------------------------------------------------------------------