TSTP Solution File: SET818-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n013.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 : Thu Aug 31 14:31:08 EDT 2023

% Result   : Unsatisfiable 0.16s 0.60s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31  % Computer : n013.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   : Sat Aug 26 12:08:47 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.55  start to proof:theBenchmark
% 0.16/0.59  %-------------------------------------------
% 0.16/0.59  % File        :CSE---1.6
% 0.16/0.59  % Problem     :theBenchmark
% 0.16/0.59  % Transform   :cnf
% 0.16/0.59  % Format      :tptp:raw
% 0.16/0.59  % Command     :java -jar mcs_scs.jar %d %s
% 0.16/0.59  
% 0.16/0.59  % Result      :Theorem 0.000000s
% 0.16/0.59  % Output      :CNFRefutation 0.000000s
% 0.16/0.59  %-------------------------------------------
% 0.16/0.60  %------------------------------------------------------------------------------
% 0.16/0.60  % File     : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.60  % Domain   : Set Theory
% 0.16/0.60  % Problem  : Problem about set theory
% 0.16/0.60  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.16/0.60  % English  :
% 0.16/0.60  
% 0.16/0.60  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.16/0.60  % Source   : [Pau06]
% 0.16/0.60  % Names    :
% 0.16/0.60  
% 0.16/0.60  % Status   : Unsatisfiable
% 0.16/0.60  % Rating   : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.16/0.60  % Syntax   : Number of clauses     :    2 (   2 unt;   0 nHn;   1 RR)
% 0.16/0.60  %            Number of literals    :    2 (   0 equ;   1 neg)
% 0.16/0.60  %            Maximal clause size   :    1 (   1 avg)
% 0.16/0.60  %            Maximal term depth    :    2 (   1 avg)
% 0.16/0.60  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.16/0.60  %            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
% 0.16/0.60  %            Number of variables   :    3 (   2 sgn)
% 0.16/0.60  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.16/0.60  
% 0.16/0.60  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.16/0.60  %            of which only a small selection are required for the refutation.
% 0.16/0.60  %            The mission is to find those few axioms, after which a refutation
% 0.16/0.60  %            can be quite easily found. This version has only the necessary
% 0.16/0.60  %            axioms.
% 0.16/0.60  %------------------------------------------------------------------------------
% 0.16/0.60  cnf(cls_Set_OemptyE_0,axiom,
% 0.16/0.60      ~ c_in(V_a,c_emptyset,T_a) ).
% 0.16/0.60  
% 0.16/0.60  cnf(cls_conjecture_0,negated_conjecture,
% 0.16/0.60      c_in(v_x(V_U),V_U,tc_IntDef_Oint) ).
% 0.16/0.60  
% 0.16/0.60  %------------------------------------------------------------------------------
% 0.16/0.60  %-------------------------------------------
% 0.16/0.60  % Proof found
% 0.16/0.60  % SZS status Theorem for theBenchmark
% 0.16/0.60  % SZS output start Proof
% 0.16/0.60  %ClaNum:2(EqnAxiom:0)
% 0.16/0.60  %VarNum:4(SingletonVarNum:3)
% 0.16/0.60  %MaxLitNum:1
% 0.16/0.60  %MaxfuncDepth:1
% 0.16/0.60  %SharedTerms:2
% 0.16/0.60  %goalClause: 1
% 0.16/0.60  %singleGoalClaCount:1
% 0.16/0.60  [1]P1(f1(x11),x11,a2)
% 0.16/0.60  [2]~P1(x21,a3,x22)
% 0.16/0.60  %EqnAxiom
% 0.16/0.60  
% 0.16/0.60  %-------------------------------------------
% 0.16/0.60  cnf(3,plain,
% 0.16/0.60     ($false),
% 0.16/0.60     inference(scs_inference,[],[1,2]),
% 0.16/0.60     ['proof']).
% 0.16/0.60  % SZS output end Proof
% 0.16/0.60  % Total time :0.000000s
%------------------------------------------------------------------------------