TSTP Solution File: SYN082-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/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 01:44:06 EDT 2023

% Result   : Unsatisfiable 0.22s 0.63s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:18:24 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.58  start to proof:theBenchmark
% 0.22/0.63  %-------------------------------------------
% 0.22/0.63  % File        :CSE---1.6
% 0.22/0.63  % Problem     :theBenchmark
% 0.22/0.63  % Transform   :cnf
% 0.22/0.63  % Format      :tptp:raw
% 0.22/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.22/0.63  
% 0.22/0.63  % Result      :Theorem 0.000000s
% 0.22/0.63  % Output      :CNFRefutation 0.000000s
% 0.22/0.63  %-------------------------------------------
% 0.22/0.63  %--------------------------------------------------------------------------
% 0.22/0.63  % File     : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.22/0.63  % Domain   : Syntactic
% 0.22/0.63  % Problem  : Pelletier Problem 60
% 0.22/0.63  % Version  : Especial.
% 0.22/0.63  % English  :
% 0.22/0.63  
% 0.22/0.63  % Refs     : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.22/0.63  %          : [Pel88] Pelletier (1988), Errata
% 0.22/0.63  % Source   : [Pel86]
% 0.22/0.63  % Names    : Pelletier 60 [Pel86]
% 0.22/0.63  
% 0.22/0.63  % Status   : Unsatisfiable
% 0.22/0.63  % Rating   : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.00 v2.0.0
% 0.22/0.63  % Syntax   : Number of clauses     :    8 (   0 unt;   4 nHn;   8 RR)
% 0.22/0.63  %            Number of literals    :   25 (   0 equ;  14 neg)
% 0.22/0.63  %            Maximal clause size   :    4 (   3 avg)
% 0.22/0.63  %            Maximal term depth    :    2 (   1 avg)
% 0.22/0.63  %            Number of predicates  :    1 (   1 usr;   0 prp; 2-2 aty)
% 0.22/0.63  %            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
% 0.22/0.63  %            Number of variables   :    9 (   0 sgn)
% 0.22/0.63  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.22/0.63  
% 0.22/0.63  % Comments : This problem is incorrect in [Pel86] and is corrected in [Pel88].
% 0.22/0.63  %--------------------------------------------------------------------------
% 0.22/0.63  cnf(clause_1,negated_conjecture,
% 0.22/0.63      ( big_f(a,f(a))
% 0.22/0.63      | ~ big_f(Y,b)
% 0.22/0.63      | big_f(Y,f(a)) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_2,negated_conjecture,
% 0.22/0.63      ( big_f(a,f(a))
% 0.22/0.63      | big_f(a,b) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_3,negated_conjecture,
% 0.22/0.63      ( big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | ~ big_f(Y,b)
% 0.22/0.63      | big_f(Y,f(a)) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_4,negated_conjecture,
% 0.22/0.63      ( big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | big_f(a,b) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_5,negated_conjecture,
% 0.22/0.63      ( big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | ~ big_f(a,f(a)) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_6,negated_conjecture,
% 0.22/0.63      ( ~ big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | ~ big_f(Y,b)
% 0.22/0.63      | big_f(Y,f(a)) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_7,negated_conjecture,
% 0.22/0.63      ( ~ big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | big_f(a,b) ) ).
% 0.22/0.63  
% 0.22/0.63  cnf(clause_8,negated_conjecture,
% 0.22/0.63      ( ~ big_f(g(X),X)
% 0.22/0.63      | ~ big_f(a,X)
% 0.22/0.63      | ~ big_f(a,f(a)) ) ).
% 0.22/0.63  
% 0.22/0.63  %--------------------------------------------------------------------------
% 0.22/0.63  %-------------------------------------------
% 0.22/0.63  % Proof found
% 0.22/0.63  % SZS status Theorem for theBenchmark
% 0.22/0.63  % SZS output start Proof
% 0.22/0.63  %ClaNum:8(EqnAxiom:0)
% 0.22/0.63  %VarNum:24(SingletonVarNum:9)
% 0.22/0.63  %MaxLitNum:4
% 0.22/0.63  %MaxfuncDepth:1
% 0.22/0.63  %SharedTerms:6
% 0.22/0.63  %goalClause: 1 2 3 4 5 6 7 8
% 0.22/0.63  [1]P1(a1,a2)+P1(a1,f3(a1))
% 0.22/0.63  [2]P1(a1,a2)+~P1(a1,x21)+P1(f4(x21),x21)
% 0.22/0.63  [3]~P1(x31,a2)+P1(x31,f3(a1))+P1(a1,f3(a1))
% 0.22/0.63  [4]P1(a1,a2)+~P1(f4(x41),x41)+~P1(a1,x41)
% 0.22/0.63  [5]~P1(a1,x51)+P1(f4(x51),x51)+~P1(a1,f3(a1))
% 0.22/0.63  [6]~P1(f4(x61),x61)+~P1(a1,x61)+~P1(a1,f3(a1))
% 0.22/0.63  [7]~P1(x72,a2)+~P1(a1,x71)+P1(f4(x71),x71)+P1(x72,f3(a1))
% 0.22/0.63  [8]~P1(x81,a2)+~P1(f4(x82),x82)+~P1(a1,x82)+P1(x81,f3(a1))
% 0.22/0.63  %EqnAxiom
% 0.22/0.63  
% 0.22/0.63  %-------------------------------------------
% 0.22/0.64  cnf(9,plain,
% 0.22/0.64     (P1(a1,f3(a1))),
% 0.22/0.64     inference(scs_inference,[],[1,3])).
% 0.22/0.64  cnf(10,plain,
% 0.22/0.64     (P1(f4(x101),x101)+~P1(a1,x101)),
% 0.22/0.64     inference(scs_inference,[],[9,5])).
% 0.22/0.64  cnf(11,plain,
% 0.22/0.64     (~P1(a1,x111)+~P1(f4(x111),x111)),
% 0.22/0.64     inference(scs_inference,[],[9,6])).
% 0.22/0.64  cnf(14,plain,
% 0.22/0.64     ($false),
% 0.22/0.64     inference(scs_inference,[],[9,11,10]),
% 0.22/0.64     ['proof']).
% 0.22/0.64  % SZS output end Proof
% 0.22/0.64  % Total time :0.000000s
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