TSTP Solution File: COL103-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : COL103-2 : 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 : n007.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 : Wed Aug 30 18:21:45 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
% 0.07/0.13  % Problem    : COL103-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n007.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   : Sun Aug 27 04:13:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  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  %-------------------------------------------
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  % File     : COL103-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.62  % Domain   : Combinatory Logic
% 0.20/0.62  % Problem  : Problem about combinators
% 0.20/0.62  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.20/0.62  % English  :
% 0.20/0.62  
% 0.20/0.62  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.62  % Source   : [Pau06]
% 0.20/0.62  % Names    :
% 0.20/0.62  
% 0.20/0.62  % Status   : Unsatisfiable
% 0.20/0.62  % Rating   : 0.00 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.20/0.62  % Syntax   : Number of clauses     :    2 (   2 unt;   0 nHn;   1 RR)
% 0.20/0.62  %            Number of literals    :    2 (   0 equ;   1 neg)
% 0.20/0.62  %            Maximal clause size   :    1 (   1 avg)
% 0.20/0.62  %            Maximal term depth    :    3 (   1 avg)
% 0.20/0.62  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.20/0.62  %            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
% 0.20/0.62  %            Number of variables   :    3 (   1 sgn)
% 0.20/0.62  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.62  
% 0.20/0.62  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.62  %            of which only a small selection are required for the refutation.
% 0.20/0.62  %            The mission is to find those few axioms, after which a refutation
% 0.20/0.62  %            can be quite easily found. This version has only the necessary
% 0.20/0.62  %            axioms.
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.62      ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
% 0.20/0.62      c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ).
% 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:2(EqnAxiom:0)
% 0.20/0.62  %VarNum:8(SingletonVarNum:3)
% 0.20/0.62  %MaxLitNum:1
% 0.20/0.62  %MaxfuncDepth:2
% 0.20/0.62  %SharedTerms:9
% 0.20/0.62  %goalClause: 2
% 0.20/0.62  %singleGoalClaCount:1
% 0.20/0.62  [2]~P1(f1(f2(a7,a8),f2(a7,a8),a6,a6),f4(a3,a6),f5(a6,a6))
% 0.20/0.62  [1]P1(f1(x11,x11,x12,x12),f4(x13,x12),f5(x12,x12))
% 0.20/0.62  %EqnAxiom
% 0.20/0.62  
% 0.20/0.62  %-------------------------------------------
% 0.20/0.63  cnf(3,plain,
% 0.20/0.63     ($false),
% 0.20/0.63     inference(scs_inference,[],[2,1]),
% 0.20/0.63     ['proof']).
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time :0.000000s
%------------------------------------------------------------------------------