TSTP Solution File: LCL431-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL431-2 : 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 : n002.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 06:49:15 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
% 0.07/0.12 % Problem : LCL431-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.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 23:12:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.010000s
% 0.19/0.62 % Output :CNFRefutation 0.010000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : LCL431-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.62 % Domain : Logic Calculi (Propositional)
% 0.19/0.62 % Problem : Problem about propositional logic
% 0.19/0.62 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Pau06]
% 0.19/0.62 % Names :
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 0.19/0.62 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% 0.19/0.62 % Number of literals : 5 ( 1 equ; 2 neg)
% 0.19/0.62 % Maximal clause size : 2 ( 1 avg)
% 0.19/0.62 % Maximal term depth : 5 ( 2 avg)
% 0.19/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.19/0.62 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% 0.19/0.62 % Number of variables : 6 ( 3 sgn)
% 0.19/0.62 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.62
% 0.19/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.62 % of which only a small selection are required for the refutation.
% 0.19/0.62 % The mission is to find those few axioms, after which a refutation
% 0.19/0.62 % 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_PropLog_Osat(c_emptyset,v_p,t_a) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_conjecture_1,negated_conjecture,
% 0.19/0.62 ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
% 0.19/0.62 ( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
% 0.19/0.62 | c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_Set_ODiff__cancel_0,axiom,
% 0.19/0.62 c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset ).
% 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:23(EqnAxiom:19)
% 0.19/0.62 %VarNum:15(SingletonVarNum:6)
% 0.19/0.62 %MaxLitNum:2
% 0.19/0.62 %MaxfuncDepth:4
% 0.19/0.62 %SharedTerms:7
% 0.19/0.62 %goalClause: 20 22
% 0.19/0.62 %singleGoalClaCount:2
% 0.19/0.62 [20]P1(a1,a4,a5)
% 0.19/0.62 [22]~P2(a4,f2(a1,a5),f8(a5))
% 0.19/0.62 [21]E(f6(x211,x211,f7(x212)),a1)
% 0.19/0.62 [23]~P1(a1,x231,x233)+P2(x231,f2(f6(f3(x231,x232,x233),f3(x231,x234,x233),f7(f8(x233))),x233),f8(x233))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.19/0.62 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 0.19/0.62 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 0.19/0.62 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 0.19/0.62 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 0.19/0.62 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 0.19/0.62 [10]~E(x101,x102)+E(f8(x101),f8(x102))
% 0.19/0.62 [11]~E(x111,x112)+E(f3(x111,x113,x114),f3(x112,x113,x114))
% 0.19/0.62 [12]~E(x121,x122)+E(f3(x123,x121,x124),f3(x123,x122,x124))
% 0.19/0.62 [13]~E(x131,x132)+E(f3(x133,x134,x131),f3(x133,x134,x132))
% 0.19/0.62 [14]P1(x142,x143,x144)+~E(x141,x142)+~P1(x141,x143,x144)
% 0.19/0.62 [15]P1(x153,x152,x154)+~E(x151,x152)+~P1(x153,x151,x154)
% 0.19/0.62 [16]P1(x163,x164,x162)+~E(x161,x162)+~P1(x163,x164,x161)
% 0.19/0.62 [17]P2(x172,x173,x174)+~E(x171,x172)+~P2(x171,x173,x174)
% 0.19/0.62 [18]P2(x183,x182,x184)+~E(x181,x182)+~P2(x183,x181,x184)
% 0.19/0.62 [19]P2(x193,x194,x192)+~E(x191,x192)+~P2(x193,x194,x191)
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.63 cnf(31,plain,
% 0.19/0.63 (E(f2(f6(x311,x311,f7(x312)),x313),f2(a1,x313))),
% 0.19/0.63 inference(scs_inference,[],[20,21,2,14,13,12,11,10,9,8])).
% 0.19/0.63 cnf(36,plain,
% 0.19/0.63 (P2(a4,f2(f6(f3(a4,x361,a5),f3(a4,x362,a5),f7(f8(a5))),a5),f8(a5))),
% 0.19/0.63 inference(scs_inference,[],[20,21,2,14,13,12,11,10,9,8,7,6,5,4,23])).
% 0.19/0.63 cnf(45,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[22,31,36,18]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.010000s
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