TSTP Solution File: LCL446-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : LCL446-2 : 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 : n024.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 06:49:23 EDT 2023

% Result   : Unsatisfiable 0.46s 0.62s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : LCL446-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Aug 25 05:38:39 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.56  start to proof:theBenchmark
% 0.46/0.61  %-------------------------------------------
% 0.46/0.61  % File        :CSE---1.6
% 0.46/0.61  % Problem     :theBenchmark
% 0.46/0.61  % Transform   :cnf
% 0.46/0.61  % Format      :tptp:raw
% 0.46/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.46/0.61  
% 0.46/0.61  % Result      :Theorem 0.000000s
% 0.46/0.61  % Output      :CNFRefutation 0.000000s
% 0.46/0.61  %-------------------------------------------
% 0.46/0.61  %------------------------------------------------------------------------------
% 0.46/0.61  % File     : LCL446-2 : TPTP v8.1.2. Released v3.2.0.
% 0.46/0.61  % Domain   : Logic Calculi (Propositional)
% 0.46/0.61  % Problem  : Problem about propositional logic
% 0.46/0.61  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.46/0.61  % English  :
% 0.46/0.61  
% 0.46/0.61  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.46/0.61  % Source   : [Pau06]
% 0.46/0.61  % Names    :
% 0.46/0.61  
% 0.46/0.61  % Status   : Unsatisfiable
% 0.46/0.61  % Rating   : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.46/0.61  % Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   2 RR)
% 0.46/0.61  %            Number of literals    :    6 (   0 equ;   3 neg)
% 0.46/0.61  %            Maximal clause size   :    3 (   1 avg)
% 0.46/0.61  %            Maximal term depth    :    4 (   1 avg)
% 0.46/0.61  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.46/0.61  %            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
% 0.46/0.61  %            Number of variables   :   13 (   3 sgn)
% 0.46/0.61  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.46/0.61  
% 0.46/0.61  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.46/0.61  %            of which only a small selection are required for the refutation.
% 0.46/0.61  %            The mission is to find those few axioms, after which a refutation
% 0.46/0.61  %            can be quite easily found. This version has only the necessary
% 0.46/0.61  %            axioms.
% 0.46/0.62  %------------------------------------------------------------------------------
% 0.46/0.62  cnf(cls_conjecture_0,negated_conjecture,
% 0.46/0.62      ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ).
% 0.46/0.62  
% 0.46/0.62  cnf(cls_PropLog_Othms_OK_0,axiom,
% 0.46/0.62      c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_p,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
% 0.46/0.62  
% 0.46/0.62  cnf(cls_PropLog_Othms_OMP_0,axiom,
% 0.46/0.62      ( ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
% 0.46/0.62      | ~ 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))
% 0.46/0.62      | c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
% 0.46/0.62  
% 0.46/0.62  cnf(cls_PropLog_Othms_OS_0,axiom,
% 0.46/0.62      c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
% 0.46/0.62  
% 0.46/0.62  %------------------------------------------------------------------------------
% 0.46/0.62  %-------------------------------------------
% 0.46/0.62  % Proof found
% 0.46/0.62  % SZS status Theorem for theBenchmark
% 0.46/0.62  % SZS output start Proof
% 0.46/0.62  %ClaNum:4(EqnAxiom:0)
% 0.46/0.62  %VarNum:38(SingletonVarNum:13)
% 0.46/0.62  %MaxLitNum:3
% 0.46/0.62  %MaxfuncDepth:3
% 0.46/0.62  %SharedTerms:7
% 0.46/0.62  %goalClause: 3
% 0.46/0.62  %singleGoalClaCount:1
% 0.46/0.62  [3]~P1(f1(a5,a5,a4),f2(a6,a4),f3(a4))
% 0.46/0.62  [1]P1(f1(x11,f1(x12,x11,x13),x13),f2(x14,x13),f3(x13))
% 0.46/0.62  [2]P1(f1(f1(x21,f1(x22,x23,x24),x24),f1(f1(x21,x22,x24),f1(x21,x23,x24),x24),x24),f2(x25,x24),f3(x24))
% 0.46/0.62  [4]~P1(f1(x44,x41,x43),f2(x42,x43),f3(x43))+P1(x41,f2(x42,x43),f3(x43))+~P1(x44,f2(x42,x43),f3(x43))
% 0.46/0.62  %EqnAxiom
% 0.46/0.62  
% 0.46/0.62  %-------------------------------------------
% 0.46/0.62  cnf(10,plain,
% 0.46/0.62     (P1(f1(f1(x101,x102,x103),f1(x101,x101,x103),x103),f2(x104,x103),f3(x103))),
% 0.46/0.62     inference(scs_inference,[],[1,2,4])).
% 0.46/0.62  cnf(14,plain,
% 0.46/0.62     ($false),
% 0.46/0.62     inference(scs_inference,[],[1,10,3,4]),
% 0.46/0.62     ['proof']).
% 0.46/0.62  % SZS output end Proof
% 0.46/0.62  % Total time :0.000000s
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