TSTP Solution File: SET856-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET856-2 : 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 : n016.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 0.18s 0.60s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET856-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 16:11:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 % File :CSE---1.6
% 0.18/0.60 % Problem :theBenchmark
% 0.18/0.60 % Transform :cnf
% 0.18/0.60 % Format :tptp:raw
% 0.18/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.60
% 0.18/0.60 % Result :Theorem 0.000000s
% 0.18/0.60 % Output :CNFRefutation 0.000000s
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 %------------------------------------------------------------------------------
% 0.18/0.60 % File : SET856-2 : TPTP v8.1.2. Released v3.2.0.
% 0.18/0.60 % Domain : Set Theory
% 0.18/0.60 % Problem : Problem about Zorn's lemma
% 0.18/0.60 % Version : [Pau06] axioms : Reduced > Especial.
% 0.18/0.60 % English :
% 0.18/0.60
% 0.18/0.60 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.18/0.60 % Source : [Pau06]
% 0.18/0.60 % Names :
% 0.18/0.60
% 0.18/0.60 % Status : Unsatisfiable
% 0.18/0.60 % Rating : 0.33 v8.1.0, 0.00 v7.3.0, 0.20 v7.2.0, 0.22 v7.1.0, 0.14 v7.0.0, 0.00 v6.2.0, 0.12 v6.0.0, 0.00 v3.3.0, 0.33 v3.2.0
% 0.18/0.60 % Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 2 RR)
% 0.18/0.60 % Number of literals : 2 ( 0 equ; 1 neg)
% 0.18/0.60 % Maximal clause size : 1 ( 1 avg)
% 0.18/0.60 % Maximal term depth : 3 ( 2 avg)
% 0.18/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.18/0.60 % Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% 0.18/0.60 % Number of variables : 0 ( 0 sgn)
% 0.18/0.60 % SPC : CNF_UNS_EPR_NEQ_HRN
% 0.18/0.60
% 0.18/0.60 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.18/0.60 % of which only a small selection are required for the refutation.
% 0.18/0.60 % The mission is to find those few axioms, after which a refutation
% 0.18/0.60 % can be quite easily found. This version has only the necessary
% 0.18/0.60 % axioms.
% 0.18/0.60 %------------------------------------------------------------------------------
% 0.18/0.60 cnf(cls_conjecture_3,negated_conjecture,
% 0.18/0.60 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 0.18/0.60
% 0.18/0.60 cnf(cls_conjecture_5,negated_conjecture,
% 0.18/0.60 ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 0.18/0.60
% 0.18/0.60 %------------------------------------------------------------------------------
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 % Proof found
% 0.18/0.60 % SZS status Theorem for theBenchmark
% 0.18/0.60 % SZS output start Proof
% 0.18/0.60 %ClaNum:2(EqnAxiom:0)
% 0.18/0.60 %VarNum:0(SingletonVarNum:0)
% 0.18/0.60 %MaxLitNum:1
% 0.18/0.60 %MaxfuncDepth:2
% 0.18/0.60 %SharedTerms:10
% 0.18/0.60 %goalClause: 1 2
% 0.18/0.60 %singleGoalClaCount:2
% 0.18/0.60 [1]P1(f3(a1,a6,a2),f4(a7,f5(a2)),f5(f5(a2)))
% 0.18/0.60 [2]~P1(f3(a1,a6,a2),f4(a7,f5(a2)),f5(f5(a2)))
% 0.18/0.60 %EqnAxiom
% 0.18/0.60
% 0.18/0.60 %-------------------------------------------
% 0.18/0.61 cnf(3,plain,
% 0.18/0.61 ($false),
% 0.18/0.61 inference(scs_inference,[],[1,2]),
% 0.18/0.61 ['proof']).
% 0.18/0.61 % SZS output end Proof
% 0.18/0.61 % Total time :0.000000s
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