TSTP Solution File: SYN326-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN326-1 : 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 : n011.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 01:45:12 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN326-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 20:48:39 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  % File        :CSE---1.6
% 0.20/0.61  % Problem     :theBenchmark
% 0.20/0.61  % Transform   :cnf
% 0.20/0.61  % Format      :tptp:raw
% 0.20/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.61  
% 0.20/0.61  % Result      :Theorem 0.000000s
% 0.20/0.61  % Output      :CNFRefutation 0.000000s
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  %--------------------------------------------------------------------------
% 0.20/0.61  % File     : SYN326-1 : TPTP v8.1.2. Released v1.2.0.
% 0.20/0.61  % Domain   : Syntactic
% 0.20/0.61  % Problem  : Church problem 46.12 (1)
% 0.20/0.61  % Version  : Especial.
% 0.20/0.61  % English  :
% 0.20/0.61  
% 0.20/0.61  % Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.20/0.61  %          : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.20/0.61  %          : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 0.20/0.61  % Source   : [Tam94]
% 0.20/0.61  % Names    : Ch12N1 [Tam94]
% 0.20/0.61  
% 0.20/0.62  % Status   : Unsatisfiable
% 0.20/0.62  % Rating   : 0.00 v2.0.0
% 0.20/0.62  % Syntax   : Number of clauses     :    7 (   2 unt;   3 nHn;   3 RR)
% 0.20/0.62  %            Number of literals    :   12 (   0 equ;   3 neg)
% 0.20/0.62  %            Maximal clause size   :    2 (   1 avg)
% 0.20/0.62  %            Maximal term depth    :    2 (   1 avg)
% 0.20/0.62  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
% 0.20/0.62  %            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
% 0.20/0.62  %            Number of variables   :    7 (   0 sgn)
% 0.20/0.62  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62  
% 0.20/0.62  % Comments : All the problems here can be decided by using a certain
% 0.20/0.62  %            completeness-preserving term ordering strategies. See [FL+93].
% 0.20/0.62  %          : The conversion from the full 1st order form in [Chu56]
% 0.20/0.62  %            to clause form was done by hand by Tanel Tammet.
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  cnf(clause1,negated_conjecture,
% 0.20/0.62      ( f(y(X),z(X))
% 0.20/0.62      | f(X,X) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause2,negated_conjecture,
% 0.20/0.62      ( g(y(X))
% 0.20/0.62      | f(X,X) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause3,negated_conjecture,
% 0.20/0.62      ( ~ h(X)
% 0.20/0.62      | f(X,X) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause4,negated_conjecture,
% 0.20/0.62      ( f(z(X),X)
% 0.20/0.62      | h(z(X)) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause5,negated_conjecture,
% 0.20/0.62      ( ~ g(X)
% 0.20/0.62      | h(z(X)) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause6,negated_conjecture,
% 0.20/0.62      f(X,y(X)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(clause7,negated_conjecture,
% 0.20/0.62      ~ f(z(X),z(X)) ).
% 0.20/0.62  
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % Proof found
% 0.20/0.62  % SZS status Theorem for theBenchmark
% 0.20/0.62  % SZS output start Proof
% 0.20/0.62  %ClaNum:7(EqnAxiom:0)
% 0.20/0.62  %VarNum:19(SingletonVarNum:7)
% 0.20/0.62  %MaxLitNum:2
% 0.20/0.62  %MaxfuncDepth:1
% 0.20/0.62  %SharedTerms:0
% 0.20/0.62  %goalClause: 1 2 3 4 5 6 7
% 0.20/0.62  %singleGoalClaCount:2
% 0.20/0.62  [1]P1(x11,f1(x11))
% 0.20/0.62  [2]~P1(f2(x21),f2(x21))
% 0.20/0.62  [4]~P2(x41)+P1(x41,x41)
% 0.20/0.62  [3]~P3(x31)+P2(f2(x31))
% 0.20/0.62  [5]P1(x51,x51)+P3(f1(x51))
% 0.20/0.62  [6]P1(f2(x61),x61)+P2(f2(x61))
% 0.20/0.62  [7]P1(x71,x71)+P1(f1(x71),f2(x71))
% 0.20/0.62  %EqnAxiom
% 0.20/0.62  
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  cnf(9,plain,
% 0.20/0.62     (~P3(x91)),
% 0.20/0.62     inference(scs_inference,[],[2,4,3])).
% 0.20/0.62  cnf(10,plain,
% 0.20/0.62     (P3(f1(f2(x101)))),
% 0.20/0.62     inference(scs_inference,[],[2,4,3,5])).
% 0.20/0.62  cnf(12,plain,
% 0.20/0.62     ($false),
% 0.20/0.62     inference(scs_inference,[],[9,10]),
% 0.20/0.62     ['proof']).
% 0.20/0.62  % SZS output end Proof
% 0.20/0.62  % Total time :0.000000s
%------------------------------------------------------------------------------