TSTP Solution File: SET855-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET855-2 : 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 : n023.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 14:31:26 EDT 2023
% Result : Unsatisfiable 0.58s 0.64s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET855-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n023.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 : Sat Aug 26 12:11:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.48/0.59 start to proof:theBenchmark
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 % File :CSE---1.6
% 0.58/0.64 % Problem :theBenchmark
% 0.58/0.64 % Transform :cnf
% 0.58/0.64 % Format :tptp:raw
% 0.58/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.64
% 0.58/0.64 % Result :Theorem 0.000000s
% 0.58/0.64 % Output :CNFRefutation 0.000000s
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 %------------------------------------------------------------------------------
% 0.58/0.64 % File : SET855-2 : TPTP v8.1.2. Released v3.2.0.
% 0.58/0.64 % Domain : Set Theory
% 0.58/0.64 % Problem : Problem about Zorn's lemma
% 0.58/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.58/0.64 % English :
% 0.58/0.64
% 0.58/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.58/0.64 % Source : [Pau06]
% 0.58/0.64 % Names :
% 0.58/0.64
% 0.58/0.64 % Status : Unsatisfiable
% 0.58/0.64 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.1.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.2.0
% 0.58/0.64 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% 0.58/0.64 % Number of literals : 6 ( 2 equ; 3 neg)
% 0.58/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.58/0.64 % Maximal term depth : 3 ( 2 avg)
% 0.58/0.64 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.58/0.64 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.58/0.64 % Number of variables : 3 ( 0 sgn)
% 0.58/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.58/0.64
% 0.58/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.58/0.64 % of which only a small selection are required for the refutation.
% 0.58/0.64 % The mission is to find those few axioms, after which a refutation
% 0.58/0.64 % can be quite easily found. This version has only the necessary
% 0.58/0.64 % axioms.
% 0.58/0.64 %------------------------------------------------------------------------------
% 0.58/0.64 cnf(cls_Set_Osubset__antisym_0,axiom,
% 0.58/0.64 ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
% 0.58/0.64 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 0.58/0.64 | V_A = V_B ) ).
% 0.58/0.64
% 0.58/0.64 cnf(cls_conjecture_2,negated_conjecture,
% 0.58/0.64 c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 0.58/0.64
% 0.58/0.64 cnf(cls_conjecture_3,negated_conjecture,
% 0.58/0.64 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))) ).
% 0.58/0.64
% 0.58/0.64 cnf(cls_conjecture_4,negated_conjecture,
% 0.58/0.64 v_n != c_Union(v_Y,tc_set(t_a)) ).
% 0.58/0.64
% 0.58/0.64 %------------------------------------------------------------------------------
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 % Proof found
% 0.58/0.64 % SZS status Theorem for theBenchmark
% 0.58/0.64 % SZS output start Proof
% 0.58/0.64 %ClaNum:13(EqnAxiom:9)
% 0.58/0.64 %VarNum:8(SingletonVarNum:3)
% 0.58/0.64 %MaxLitNum:3
% 0.58/0.64 %MaxfuncDepth:2
% 0.58/0.64 %SharedTerms:9
% 0.58/0.64 %goalClause: 10 11 12
% 0.58/0.64 %singleGoalClaCount:3
% 0.58/0.64 [10]P1(a1,f4(a2,f5(a3)),f5(f5(a3)))
% 0.58/0.64 [11]P1(f4(a2,f5(a3)),a1,f5(f5(a3)))
% 0.58/0.64 [12]~E(f4(a2,f5(a3)),a1)
% 0.58/0.64 [13]E(x131,x132)+~P1(x132,x131,f5(x133))+~P1(x131,x132,f5(x133))
% 0.58/0.64 %EqnAxiom
% 0.58/0.65 [1]E(x11,x11)
% 0.58/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.65 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.58/0.65 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.58/0.65 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.58/0.65 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.58/0.65 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.58/0.65 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.58/0.65
% 0.58/0.65 %-------------------------------------------
% 0.58/0.65 cnf(14,plain,
% 0.58/0.65 ($false),
% 0.58/0.65 inference(scs_inference,[],[12,10,11,13]),
% 0.58/0.65 ['proof']).
% 0.58/0.65 % SZS output end Proof
% 0.58/0.65 % Total time :0.000000s
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