TSTP Solution File: LCL445-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL445-2 : 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 : n031.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 06:49:22 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:44:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.61 % Domain : Logic Calculi (Propositional)
% 0.19/0.61 % Problem : Problem about propositional logic
% 0.19/0.61 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.61 % Source : [Pau06]
% 0.19/0.61 % Names :
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.19/0.61 % Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 5 RR)
% 0.19/0.61 % Number of literals : 9 ( 0 equ; 4 neg)
% 0.19/0.61 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.61 % Maximal term depth : 5 ( 2 avg)
% 0.19/0.61 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.19/0.61 % Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% 0.19/0.61 % Number of variables : 12 ( 1 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.61
% 0.19/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.61 % of which only a small selection are required for the refutation.
% 0.19/0.61 % The mission is to find those few axioms, after which a refutation
% 0.19/0.61 % can be quite easily found. This version has only the necessary
% 0.19/0.62 % axioms.
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.62 c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_conjecture_1,negated_conjecture,
% 0.19/0.62 c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_conjecture_2,negated_conjecture,
% 0.19/0.62 ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_PropLog_Odeduction_0,axiom,
% 0.19/0.62 ( ~ c_in(V_q,c_PropLog_Othms(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
% 0.19/0.62 | 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)) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_PropLog_Othms_OMP_0,axiom,
% 0.19/0.62 ( ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
% 0.19/0.62 | ~ 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))
% 0.19/0.62 | c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_PropLog_Othms__excluded__middle_0,axiom,
% 0.19/0.62 c_in(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(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),V_q,T_a),V_q,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:6(EqnAxiom:0)
% 0.19/0.62 %VarNum:39(SingletonVarNum:12)
% 0.19/0.62 %MaxLitNum:3
% 0.19/0.62 %MaxfuncDepth:4
% 0.19/0.62 %SharedTerms:15
% 0.19/0.62 %goalClause: 1 2 4
% 0.19/0.62 %singleGoalClaCount:3
% 0.19/0.62 [4]~P1(a1,f6(a3,a4),f9(a4))
% 0.19/0.62 [1]P1(a1,f6(f5(a2,a3,f9(a4)),a4),f9(a4))
% 0.19/0.62 [2]P1(a1,f6(f5(f8(a2,a7,a4),a3,f9(a4)),a4),f9(a4))
% 0.19/0.62 [3]P1(f8(f8(x31,x32,x33),f8(f8(f8(x31,a7,x33),x32,x33),x32,x33),x33),f6(x34,x33),f9(x33))
% 0.19/0.62 [6]P1(f8(x61,x62,x63),f6(x64,x63),f9(x63))+~P1(x62,f6(f5(x61,x64,f9(x63)),x63),f9(x63))
% 0.19/0.62 [5]~P1(f8(x54,x51,x53),f6(x52,x53),f9(x53))+P1(x51,f6(x52,x53),f9(x53))+~P1(x54,f6(x52,x53),f9(x53))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(8,plain,
% 0.19/0.62 (P1(f8(f8(f8(a2,a7,a4),a1,a4),a1,a4),f6(a3,a4),f9(a4))),
% 0.19/0.62 inference(scs_inference,[],[1,3,6,5])).
% 0.19/0.62 cnf(19,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[2,4,8,5,6]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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