TSTP Solution File: SYN325-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN325-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n008.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 : Fri Sep  1 01:45:11 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN325-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34  % Computer : n008.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Sat Aug 26 20:46:17 EDT 2023
% 0.16/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.20/0.60  %-------------------------------------------
% 0.20/0.60  % File        :CSE---1.6
% 0.20/0.60  % Problem     :theBenchmark
% 0.20/0.60  % Transform   :cnf
% 0.20/0.60  % Format      :tptp:raw
% 0.20/0.60  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.60  
% 0.20/0.60  % Result      :Theorem 0.000000s
% 0.20/0.60  % Output      :CNFRefutation 0.000000s
% 0.20/0.60  %-------------------------------------------
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  % File     : SYN325-1 : TPTP v8.1.2. Released v1.2.0.
% 0.20/0.60  % Domain   : Syntactic
% 0.20/0.60  % Problem  : Church problem 46.9 (2)
% 0.20/0.60  % Version  : Especial.
% 0.20/0.60  % English  :
% 0.20/0.60  
% 0.20/0.60  % Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.20/0.60  %          : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.20/0.60  %          : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 0.20/0.60  % Source   : [Tam94]
% 0.20/0.60  % Names    : Ch9N2 [Tam94]
% 0.20/0.60  
% 0.20/0.60  % Status   : Unsatisfiable
% 0.20/0.60  % Rating   : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v2.0.0
% 0.20/0.60  % Syntax   : Number of clauses     :    5 (   1 unt;   2 nHn;   3 RR)
% 0.20/0.60  %            Number of literals    :    9 (   0 equ;   3 neg)
% 0.20/0.60  %            Maximal clause size   :    2 (   1 avg)
% 0.20/0.60  %            Maximal term depth    :    2 (   1 avg)
% 0.20/0.60  %            Number of predicates  :    2 (   2 usr;   0 prp; 1-2 aty)
% 0.20/0.60  %            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
% 0.20/0.60  %            Number of variables   :    5 (   1 sgn)
% 0.20/0.60  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.60  
% 0.20/0.60  % Comments : All the problems here can be decided by using a certain
% 0.20/0.60  %            completeness-preserving term ordering strategies. See [FL+93].
% 0.20/0.60  %          : The conversion from the full 1st order form in [Chu56]
% 0.20/0.60  %            to clause form was done by hand by Tanel Tammet.
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  cnf(clause1,negated_conjecture,
% 0.20/0.60      ( f(X,X)
% 0.20/0.60      | f(X,y(X)) ) ).
% 0.20/0.60  
% 0.20/0.60  cnf(clause2,negated_conjecture,
% 0.20/0.60      ( f(X,X)
% 0.20/0.60      | g(X) ) ).
% 0.20/0.60  
% 0.20/0.60  cnf(clause3,negated_conjecture,
% 0.20/0.60      ( ~ f(y(X),y(X))
% 0.20/0.60      | f(X,y(X)) ) ).
% 0.20/0.60  
% 0.20/0.60  cnf(clause4,negated_conjecture,
% 0.20/0.60      ( ~ f(y(X),y(X))
% 0.20/0.60      | g(X) ) ).
% 0.20/0.60  
% 0.20/0.60  cnf(clause5,negated_conjecture,
% 0.20/0.60      ~ g(y(X)) ).
% 0.20/0.60  
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  %-------------------------------------------
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark
% 0.20/0.60  % SZS output start Proof
% 0.20/0.61  %ClaNum:5(EqnAxiom:0)
% 0.20/0.61  %VarNum:15(SingletonVarNum:5)
% 0.20/0.61  %MaxLitNum:2
% 0.20/0.61  %MaxfuncDepth:1
% 0.20/0.61  %SharedTerms:0
% 0.20/0.61  %goalClause: 1 2 3 4 5
% 0.20/0.61  %singleGoalClaCount:1
% 0.20/0.61  [1]~P1(f1(x11))
% 0.20/0.61  [2]P2(x21,x21)+P1(x21)
% 0.20/0.61  [3]P2(x31,x31)+P2(x31,f1(x31))
% 0.20/0.61  [4]P1(x41)+~P2(f1(x41),f1(x41))
% 0.20/0.61  [5]~P2(f1(x51),f1(x51))+P2(x51,f1(x51))
% 0.20/0.61  %EqnAxiom
% 0.20/0.61  
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  cnf(7,plain,
% 0.20/0.61     (P1(x71)),
% 0.20/0.61     inference(scs_inference,[],[1,2,4])).
% 0.20/0.61  cnf(8,plain,
% 0.20/0.61     ($false),
% 0.20/0.61     inference(scs_inference,[],[1,7]),
% 0.20/0.61     ['proof']).
% 0.20/0.61  % SZS output end Proof
% 0.20/0.61  % Total time :0.000000s
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