TSTP Solution File: SET046-5 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 14:28:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n026.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 14:17:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 % File :CSE---1.6
% 0.21/0.65 % Problem :theBenchmark
% 0.21/0.65 % Transform :cnf
% 0.21/0.65 % Format :tptp:raw
% 0.21/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.65
% 0.21/0.65 % Result :Theorem 0.010000s
% 0.21/0.65 % Output :CNFRefutation 0.010000s
% 0.21/0.65 %-------------------------------------------
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 % File : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.66 % Domain : Set Theory
% 0.21/0.66 % Problem : No set of non-circular sets
% 0.21/0.66 % Version : [Pel86] axioms : Incomplete.
% 0.21/0.66 % English : A set is circular if it is a member of another set which
% 0.21/0.66 % in turn is a member of the orginal. Intuitively all sets are
% 0.21/0.66 % non-circular. Prove there is no set of non-circular sets.
% 0.21/0.66
% 0.21/0.66 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.21/0.66 % Source : [Pel86]
% 0.21/0.66 % Names : Pelletier 42 [Pel86]
% 0.21/0.66 % : p42.in [ANL]
% 0.21/0.66
% 0.21/0.66 % Status : Unsatisfiable
% 0.21/0.66 % Rating : 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v2.0.0
% 0.21/0.66 % Syntax : Number of clauses : 3 ( 0 unt; 2 nHn; 1 RR)
% 0.21/0.66 % Number of literals : 7 ( 0 equ; 3 neg)
% 0.21/0.66 % Maximal clause size : 3 ( 2 avg)
% 0.21/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.66 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.21/0.66 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.21/0.66 % Number of variables : 4 ( 0 sgn)
% 0.21/0.66 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.66
% 0.21/0.66 % Comments :
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 cnf(clause_1,negated_conjecture,
% 0.21/0.66 ( ~ element(X,a)
% 0.21/0.66 | ~ element(X,Y)
% 0.21/0.66 | ~ element(Y,X) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(clause_2,negated_conjecture,
% 0.21/0.66 ( element(X,f(X))
% 0.21/0.66 | element(X,a) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(clause_3,negated_conjecture,
% 0.21/0.66 ( element(f(X),X)
% 0.21/0.66 | element(X,a) ) ).
% 0.21/0.66
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark
% 0.21/0.66 % SZS output start Proof
% 0.21/0.66 %ClaNum:3(EqnAxiom:0)
% 0.21/0.66 %VarNum:11(SingletonVarNum:4)
% 0.21/0.66 %MaxLitNum:3
% 0.21/0.66 %MaxfuncDepth:1
% 0.21/0.66 %SharedTerms:1
% 0.21/0.66 %goalClause: 1 2 3
% 0.21/0.66 [1]P1(x11,f2(x11))+P1(x11,a1)
% 0.21/0.66 [2]P1(f2(x21),x21)+P1(x21,a1)
% 0.21/0.66 [3]~P1(x32,x31)+~P1(x31,x32)+~P1(x32,a1)
% 0.21/0.66 %EqnAxiom
% 0.21/0.66
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 cnf(4,plain,
% 0.21/0.66 (~P1(x41,x42)+~P1(x42,x41)+P1(x42,f2(x42))),
% 0.21/0.66 inference(scs_inference,[],[1,3])).
% 0.21/0.66 cnf(13,plain,
% 0.21/0.66 (P1(a1,f2(a1))+~P1(a1,x131)+P1(x131,f2(x131))),
% 0.21/0.66 inference(scs_inference,[],[1,4])).
% 0.21/0.66 cnf(19,plain,
% 0.21/0.66 (P1(a1,f2(a1))),
% 0.21/0.66 inference(scs_inference,[],[1,13])).
% 0.21/0.67 cnf(20,plain,
% 0.21/0.67 (~P1(f2(a1),a1)),
% 0.21/0.67 inference(scs_inference,[],[19,3])).
% 0.21/0.67 cnf(23,plain,
% 0.21/0.67 ($false),
% 0.21/0.67 inference(scs_inference,[],[20,2,3]),
% 0.21/0.67 ['proof']).
% 0.21/0.67 % SZS output end Proof
% 0.21/0.67 % Total time :0.010000s
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