%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Mon Jun 24 14:19:55 EDT 2024
% Result : Unsatisfiable 0.56s 0.60s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.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 : Sun Jun 23 16:50:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.56/0.59 %-------------------------------------------
% 0.56/0.59 % File :CSE---1.7
% 0.56/0.59 % Problem :theBenchmark
% 0.56/0.59 % Transform :cnf
% 0.56/0.59 % Format :tptp:raw
% 0.56/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.59
% 0.56/0.59 % Result :Theorem 0.000000s
% 0.56/0.59 % Output :CNFRefutation 0.000000s
% 0.56/0.59 %-------------------------------------------
% 0.56/0.60 %--------------------------------------------------------------------------
% 0.56/0.60 % File : SET001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.56/0.60 % Domain : Set Theory
% 0.56/0.60 % Problem : Set members are superset members
% 0.56/0.60 % Version : [LS74] axioms.
% 0.56/0.60 % English : A member of a set is also a member of that set's supersets.
% 0.56/0.60
% 0.56/0.60 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.56/0.60 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.56/0.60 % Source : [SPRFN]
% 0.56/0.60 % Names : ls100 [LS74]
% 0.56/0.60 % : ls100 [WM76]
% 0.56/0.60
% 0.56/0.60 % Status : Unsatisfiable
% 0.56/0.60 % Rating : 0.00 v2.0.0
% 0.56/0.60 % Syntax : Number of clauses : 9 ( 3 unt; 1 nHn; 8 RR)
% 0.56/0.60 % Number of literals : 17 ( 0 equ; 8 neg)
% 0.56/0.60 % Maximal clause size : 3 ( 1 avg)
% 0.56/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.60 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.56/0.60 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.56/0.60 % Number of variables : 13 ( 0 sgn)
% 0.56/0.60 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.56/0.60
% 0.56/0.60 % Comments :
% 0.56/0.60 %--------------------------------------------------------------------------
% 0.56/0.60 %----Include the member and subset axioms
% 0.56/0.60 include('Axioms/SET001-0.ax').
% 0.56/0.60 %--------------------------------------------------------------------------
% 0.56/0.60 cnf(b_equals_bb,hypothesis,
% 0.56/0.60 equal_sets(b,bb) ).
% 0.56/0.60
% 0.56/0.60 cnf(element_of_b,hypothesis,
% 0.56/0.60 member(element_of_b,b) ).
% 0.56/0.60
% 0.56/0.60 cnf(prove_element_of_bb,negated_conjecture,
% 0.56/0.60 ~ member(element_of_b,bb) ).
% 0.56/0.60
% 0.56/0.60 %--------------------------------------------------------------------------
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 % Proof found
% 0.56/0.60 % SZS status Theorem for theBenchmark
% 0.56/0.60 % SZS output start Proof
% 0.56/0.60 %ClaNum:9(EqnAxiom:0)
% 0.56/0.60 %VarNum:30(SingletonVarNum:13)
% 0.56/0.60 %MaxLitNum:3
% 0.56/0.60 %MaxfuncDepth:1
% 0.56/0.60 %SharedTerms:6
% 0.56/0.60 %goalClause: 3
% 0.56/0.60 %singleGoalClaCount:1
% 0.56/0.60 [1]P1(a1,a2)
% 0.56/0.60 [2]P2(a2,a3)
% 0.56/0.60 [3]~P1(a1,a3)
% 0.56/0.60 [4]~P2(x42,x41)+P3(x41,x42)
% 0.56/0.60 [5]~P2(x51,x52)+P3(x51,x52)
% 0.56/0.60 [6]P3(x61,x62)+P1(f4(x61,x62),x61)
% 0.56/0.60 [9]P3(x91,x92)+~P1(f4(x91,x92),x92)
% 0.56/0.60 [8]~P3(x81,x82)+~P3(x82,x81)+P2(x81,x82)
% 0.56/0.60 [7]~P3(x73,x72)+P1(x71,x72)+~P1(x71,x73)
% 0.56/0.60 %EqnAxiom
% 0.56/0.60
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 cnf(14,plain,
% 0.56/0.60 ($false),
% 0.56/0.60 inference(scs_inference,[],[3,1,2,7,4,5]),
% 0.56/0.60 ['proof']).
% 0.56/0.60 % SZS output end Proof
% 0.56/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------