TSTP Solution File: SET001-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 14:27:44 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n007.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 14:50:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 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 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.62 % Domain : Set Theory
% 0.20/0.62 % Problem : Set members are superset members
% 0.20/0.62 % Version : [LS74] axioms.
% 0.20/0.62 % English : A member of a set is also a member of that set's supersets.
% 0.20/0.62
% 0.20/0.62 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.20/0.62 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.20/0.62 % Source : [SPRFN]
% 0.20/0.62 % Names : ls100 [LS74]
% 0.20/0.62 % : ls100 [WM76]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v2.0.0
% 0.20/0.62 % Syntax : Number of clauses : 9 ( 3 unt; 1 nHn; 8 RR)
% 0.20/0.62 % Number of literals : 17 ( 0 equ; 8 neg)
% 0.20/0.62 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.62 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.20/0.62 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 13 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %----Include the member and subset axioms
% 0.20/0.62 include('Axioms/SET001-0.ax').
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(b_equals_bb,hypothesis,
% 0.20/0.62 equal_sets(b,bb) ).
% 0.20/0.62
% 0.20/0.62 cnf(element_of_b,hypothesis,
% 0.20/0.62 member(element_of_b,b) ).
% 0.20/0.62
% 0.20/0.62 cnf(prove_element_of_bb,negated_conjecture,
% 0.20/0.62 ~ member(element_of_b,bb) ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:9(EqnAxiom:0)
% 0.20/0.62 %VarNum:30(SingletonVarNum:13)
% 0.20/0.62 %MaxLitNum:3
% 0.20/0.62 %MaxfuncDepth:1
% 0.20/0.62 %SharedTerms:6
% 0.20/0.62 %goalClause: 3
% 0.20/0.62 %singleGoalClaCount:1
% 0.20/0.62 [1]P1(a1,a2)
% 0.20/0.62 [2]P2(a2,a3)
% 0.20/0.62 [3]~P1(a1,a3)
% 0.20/0.63 [4]~P2(x42,x41)+P3(x41,x42)
% 0.20/0.63 [5]~P2(x51,x52)+P3(x51,x52)
% 0.20/0.63 [6]P3(x61,x62)+P1(f4(x61,x62),x61)
% 0.20/0.63 [9]P3(x91,x92)+~P1(f4(x91,x92),x92)
% 0.20/0.63 [8]~P3(x81,x82)+~P3(x82,x81)+P2(x81,x82)
% 0.20/0.63 [7]~P3(x73,x72)+P1(x71,x72)+~P1(x71,x73)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(11,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[3,1,2,7,5]),
% 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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