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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : COL114-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 : Mon Jun 24 04:45:14 EDT 2024

% Result   : Unsatisfiable 0.56s 0.64s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : COL114-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 15:36:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.47/0.61  start to proof:theBenchmark
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % File        :CSE---1.7
% 0.56/0.64  % Problem     :theBenchmark
% 0.56/0.64  % Transform   :cnf
% 0.56/0.64  % Format      :tptp:raw
% 0.56/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.64  
% 0.56/0.64  % Result      :Theorem 0.000000s
% 0.56/0.64  % Output      :CNFRefutation 0.000000s
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  % File     : COL114-2 : TPTP v8.2.0. Released v3.2.0.
% 0.56/0.64  % Domain   : Combinatory Logic
% 0.56/0.64  % Problem  : Problem about combinators
% 0.56/0.64  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.56/0.64  % English  :
% 0.56/0.64  
% 0.56/0.64  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.56/0.64  % Source   : [Pau06]
% 0.56/0.64  % Names    :
% 0.56/0.64  
% 0.56/0.64  % Status   : Unsatisfiable
% 0.56/0.64  % Rating   : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.56/0.64  % Syntax   : Number of clauses     :    3 (   2 unt;   0 nHn;   2 RR)
% 0.56/0.64  %            Number of literals    :    4 (   0 equ;   2 neg)
% 0.56/0.64  %            Maximal clause size   :    2 (   1 avg)
% 0.56/0.64  %            Maximal term depth    :    4 (   1 avg)
% 0.56/0.64  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.56/0.64  %            Number of functors    :    9 (   9 usr;   6 con; 0-4 aty)
% 0.56/0.64  %            Number of variables   :    3 (   1 sgn)
% 0.56/0.64  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.56/0.64  
% 0.56/0.64  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.56/0.64  %            of which only a small selection are required for the refutation.
% 0.56/0.64  %            The mission is to find those few axioms, after which a refutation
% 0.56/0.64  %            can be quite easily found. This version has only the necessary
% 0.56/0.64  %            axioms.
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  cnf(cls_conjecture_1,negated_conjecture,
% 0.56/0.64      c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_2,negated_conjecture,
% 0.56/0.64      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
% 0.56/0.64      | ~ c_in(c_Pair(v_x,V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_Comb_Oparcontract_Ointros__2_0,axiom,
% 0.56/0.64      c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_y),V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ).
% 0.56/0.64  
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % Proof found
% 0.56/0.64  % SZS status Theorem for theBenchmark
% 0.56/0.64  % SZS output start Proof
% 0.56/0.64  %ClaNum:3(EqnAxiom:0)
% 0.56/0.64  %VarNum:5(SingletonVarNum:3)
% 0.56/0.64  %MaxLitNum:2
% 0.56/0.64  %MaxfuncDepth:3
% 0.56/0.64  %SharedTerms:11
% 0.56/0.64  %goalClause: 1 3
% 0.56/0.64  %singleGoalClaCount:1
% 0.56/0.64  [1]P1(f3(a1,a9,a2,a2),a4,f7(a2,a2))
% 0.56/0.64  [2]P1(f3(f6(f6(a5,x21),x22),x21,a2,a2),a4,f7(a2,a2))
% 0.56/0.64  [3]~P1(f3(a1,x31,a2,a2),a4,f7(a2,a2))+~P1(f3(f6(f6(a5,a9),a8),x31,a2,a2),a4,f7(a2,a2))
% 0.56/0.64  %EqnAxiom
% 0.56/0.64  
% 0.56/0.64  %-------------------------------------------
% 0.56/0.65  cnf(4,plain,
% 0.56/0.65     ($false),
% 0.56/0.65     inference(scs_inference,[],[1,2,3]),
% 0.56/0.65     ['proof']).
% 0.56/0.65  % SZS output end Proof
% 0.56/0.65  % Total time :0.000000s
%------------------------------------------------------------------------------