TSTP Solution File: SET849-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 14:31:22 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:39:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.63 % Domain : Set Theory
% 0.20/0.63 % Problem : Problem about Zorn's lemma
% 0.20/0.63 % Version : [Pau06] axioms : Reduced > Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.63 % Source : [Pau06]
% 0.20/0.63 % Names :
% 0.20/0.63
% 0.20/0.63 % Status : Unsatisfiable
% 0.20/0.63 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.00 v3.2.0
% 0.20/0.63 % Syntax : Number of clauses : 4 ( 2 unt; 0 nHn; 3 RR)
% 0.20/0.63 % Number of literals : 6 ( 2 equ; 3 neg)
% 0.20/0.63 % Maximal clause size : 2 ( 1 avg)
% 0.20/0.63 % Maximal term depth : 4 ( 2 avg)
% 0.20/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.20/0.63 % Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% 0.20/0.63 % Number of variables : 7 ( 1 sgn)
% 0.20/0.63 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.63
% 0.20/0.63 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.63 % of which only a small selection are required for the refutation.
% 0.20/0.63 % The mission is to find those few axioms, after which a refutation
% 0.20/0.63 % can be quite easily found. This version has only the necessary
% 0.20/0.63 % axioms.
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 cnf(cls_Set_Osubset__refl_0,axiom,
% 0.20/0.63 c_lessequals(V_A,V_A,tc_set(T_a)) ).
% 0.20/0.63
% 0.20/0.63 cnf(cls_Zorn_OTFin__UnionI_0,axiom,
% 0.20/0.63 ( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))
% 0.20/0.63 | c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ).
% 0.20/0.63
% 0.20/0.63 cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
% 0.20/0.63 ( ~ c_in(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.20/0.63 | c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)) = c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a) ) ).
% 0.20/0.63
% 0.20/0.63 cnf(cls_conjecture_1,negated_conjecture,
% 0.20/0.63 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ).
% 0.20/0.63
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:21(EqnAxiom:17)
% 0.20/0.63 %VarNum:26(SingletonVarNum:7)
% 0.20/0.63 %MaxLitNum:2
% 0.20/0.63 %MaxfuncDepth:3
% 0.20/0.63 %SharedTerms:7
% 0.20/0.63 %goalClause: 19
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [19]~E(f5(a6,f4(f3(a6,a2),f1(a2)),a2),f4(f3(a6,a2),f1(a2)))
% 0.20/0.63 [18]P1(x181,x181,f1(x182))
% 0.20/0.63 [21]~P2(f4(f3(x211,x212),f1(x212)),f3(x211,x212),f1(f1(x212)))+E(f5(x211,f4(f3(x211,x212),f1(x212)),x212),f4(f3(x211,x212),f1(x212)))
% 0.20/0.63 [20]P2(f4(x201,f1(x202)),f3(x203,x202),f1(f1(x202)))+~P1(x201,f3(x203,x202),f1(f1(f1(x202))))
% 0.20/0.63 %EqnAxiom
% 0.20/0.63 [1]E(x11,x11)
% 0.20/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.63 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.20/0.63 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.20/0.63 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.20/0.63 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.20/0.63 [9]~E(x91,x92)+E(f5(x91,x93,x94),f5(x92,x93,x94))
% 0.20/0.63 [10]~E(x101,x102)+E(f5(x103,x101,x104),f5(x103,x102,x104))
% 0.20/0.63 [11]~E(x111,x112)+E(f5(x113,x114,x111),f5(x113,x114,x112))
% 0.20/0.63 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124)
% 0.20/0.63 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134)
% 0.20/0.63 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141)
% 0.20/0.63 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 0.20/0.63 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 0.20/0.63 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(24,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[19,18,20,21]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
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