TSTP Solution File: SET827-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET827-2 : 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 : 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 14:31:12 EDT 2023
% Result : Unsatisfiable 0.51s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET827-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n023.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 12:07:11 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.49/0.55 start to proof:theBenchmark
% 0.51/0.58 %-------------------------------------------
% 0.51/0.58 % File :CSE---1.6
% 0.51/0.58 % Problem :theBenchmark
% 0.51/0.58 % Transform :cnf
% 0.51/0.58 % Format :tptp:raw
% 0.51/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.58
% 0.51/0.58 % Result :Theorem 0.000000s
% 0.51/0.58 % Output :CNFRefutation 0.000000s
% 0.51/0.58 %-------------------------------------------
% 0.51/0.58 %------------------------------------------------------------------------------
% 0.51/0.58 % File : SET827-2 : TPTP v8.1.2. Released v3.2.0.
% 0.51/0.58 % Domain : Set Theory
% 0.51/0.58 % Problem : Problem about set theory
% 0.51/0.58 % Version : [Pau06] axioms : Reduced > Especial.
% 0.51/0.58 % English :
% 0.51/0.58
% 0.51/0.58 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.51/0.58 % Source : [Pau06]
% 0.51/0.58 % Names :
% 0.51/0.58
% 0.51/0.58 % Status : Unsatisfiable
% 0.51/0.58 % Rating : 0.00 v5.3.0, 0.05 v5.2.0, 0.00 v3.2.0
% 0.51/0.58 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% 0.51/0.58 % Number of literals : 6 ( 0 equ; 3 neg)
% 0.51/0.58 % Maximal clause size : 3 ( 1 avg)
% 0.51/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.58 % Number of predicates : 2 ( 2 usr; 0 prp; 3-3 aty)
% 0.51/0.58 % Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% 0.51/0.58 % Number of variables : 4 ( 0 sgn)
% 0.51/0.58 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.51/0.58
% 0.51/0.58 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.51/0.58 % of which only a small selection are required for the refutation.
% 0.51/0.58 % The mission is to find those few axioms, after which a refutation
% 0.51/0.58 % can be quite easily found. This version has only the necessary
% 0.51/0.58 % axioms.
% 0.51/0.58 %------------------------------------------------------------------------------
% 0.51/0.58 cnf(cls_Set_OsubsetD_0,axiom,
% 0.51/0.58 ( ~ c_in(V_c,V_A,T_a)
% 0.51/0.59 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 0.51/0.59 | c_in(V_c,V_B,T_a) ) ).
% 0.51/0.59
% 0.51/0.59 cnf(cls_conjecture_0,negated_conjecture,
% 0.51/0.59 c_in(v_x,v_V,t_a) ).
% 0.51/0.59
% 0.51/0.59 cnf(cls_conjecture_2,negated_conjecture,
% 0.51/0.59 c_lessequals(v_V,v_Z,tc_set(t_a)) ).
% 0.51/0.59
% 0.51/0.59 cnf(cls_conjecture_3,negated_conjecture,
% 0.51/0.59 ~ c_in(v_x,v_Z,t_a) ).
% 0.51/0.59
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark
% 0.51/0.59 % SZS output start Proof
% 0.51/0.59 %ClaNum:4(EqnAxiom:0)
% 0.51/0.59 %VarNum:9(SingletonVarNum:4)
% 0.51/0.59 %MaxLitNum:3
% 0.51/0.59 %MaxfuncDepth:1
% 0.51/0.59 %SharedTerms:8
% 0.51/0.59 %goalClause: 1 2 3
% 0.51/0.59 %singleGoalClaCount:3
% 0.51/0.59 [1]P1(a1,a2,a3)
% 0.51/0.59 [3]~P1(a1,a5,a3)
% 0.51/0.59 [2]P2(a2,a5,f4(a3))
% 0.51/0.59 [4]P1(x41,x42,x43)+~P1(x41,x44,x43)+~P2(x44,x42,f4(x43))
% 0.51/0.59 %EqnAxiom
% 0.51/0.59
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 cnf(5,plain,
% 0.51/0.59 ($false),
% 0.51/0.59 inference(scs_inference,[],[3,1,2,4]),
% 0.51/0.59 ['proof']).
% 0.51/0.59 % SZS output end Proof
% 0.51/0.59 % Total time :0.000000s
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