TSTP Solution File: LCL437-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n015.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 : Thu Aug 31 06:49:18 EDT 2023

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri Aug 25 06:24:06 EDT 2023
% 0.14/0.34  % 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     : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.61  % Domain   : Logic Calculi (Propositional)
% 0.20/0.61  % Problem  : Problem about propositional logic
% 0.20/0.61  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.20/0.61  % English  :
% 0.20/0.61  
% 0.20/0.61  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.61  % Source   : [Pau06]
% 0.20/0.61  % Names    :
% 0.20/0.61  
% 0.20/0.61  % Status   : Unsatisfiable
% 0.20/0.61  % Rating   : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.20/0.61  % Syntax   : Number of clauses     :    3 (   2 unt;   0 nHn;   1 RR)
% 0.20/0.61  %            Number of literals    :    4 (   0 equ;   2 neg)
% 0.20/0.61  %            Maximal clause size   :    2 (   1 avg)
% 0.20/0.61  %            Maximal term depth    :    5 (   2 avg)
% 0.20/0.61  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.20/0.61  %            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
% 0.20/0.61  %            Number of variables   :    7 (   2 sgn)
% 0.20/0.61  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.61  
% 0.20/0.61  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.61  %            of which only a small selection are required for the refutation.
% 0.20/0.61  %            The mission is to find those few axioms, after which a refutation
% 0.20/0.61  %            can be quite easily found. This version has only the necessary
% 0.20/0.61  %            axioms.
% 0.20/0.61  %------------------------------------------------------------------------------
% 0.20/0.61  cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.61      ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ).
% 0.20/0.61  
% 0.20/0.61  cnf(cls_PropLog_Othms_ODN_0,axiom,
% 0.20/0.61      c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Opl_Ofalse,T_a),V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
% 0.20/0.61  
% 0.20/0.61  cnf(cls_PropLog_Oweaken__right_0,axiom,
% 0.20/0.61      ( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
% 0.20/0.61      | c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
% 0.20/0.61  
% 0.20/0.61  %------------------------------------------------------------------------------
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  % Proof found
% 0.20/0.61  % SZS status Theorem for theBenchmark
% 0.20/0.61  % SZS output start Proof
% 0.20/0.61  %ClaNum:3(EqnAxiom:0)
% 0.20/0.61  %VarNum:18(SingletonVarNum:7)
% 0.20/0.61  %MaxLitNum:2
% 0.20/0.61  %MaxfuncDepth:4
% 0.20/0.61  %SharedTerms:12
% 0.20/0.61  %goalClause: 2
% 0.20/0.61  %singleGoalClaCount:1
% 0.20/0.61  [2]~P1(f2(a6,f2(f2(f2(a8,a1,a5),a1,a5),a8,a5),a5),f3(a7,a5),f4(a5))
% 0.20/0.61  [1]P1(f2(f2(f2(x11,a1,x12),a1,x12),x11,x12),f3(x13,x12),f4(x12))
% 0.20/0.61  [3]P1(f2(x31,x32,x33),f3(x34,x33),f4(x33))+~P1(x32,f3(x34,x33),f4(x33))
% 0.20/0.61  %EqnAxiom
% 0.20/0.61  
% 0.20/0.61  %-------------------------------------------
% 0.20/0.62  cnf(4,plain,
% 0.20/0.62     ($false),
% 0.20/0.62     inference(scs_inference,[],[2,1,3]),
% 0.20/0.62     ['proof']).
% 0.20/0.62  % SZS output end Proof
% 0.20/0.62  % Total time :0.000000s
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