TSTP Solution File: SET590+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 14:30:15 EDT 2023
% Result : Theorem 0.17s 0.60s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n012.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 09:32:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 0.17/0.60 %-------------------------------------------
% 0.17/0.60 % File :CSE---1.6
% 0.17/0.60 % Problem :theBenchmark
% 0.17/0.60 % Transform :cnf
% 0.17/0.60 % Format :tptp:raw
% 0.17/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.60
% 0.17/0.60 % Result :Theorem 0.000000s
% 0.17/0.60 % Output :CNFRefutation 0.000000s
% 0.17/0.60 %-------------------------------------------
% 0.17/0.60 %--------------------------------------------------------------------------
% 0.17/0.60 % File : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% 0.17/0.60 % Domain : Set Theory
% 0.17/0.60 % Problem : The difference of X and Y is a subset of X
% 0.17/0.60 % Version : [Try90] axioms : Reduced > Incomplete.
% 0.17/0.60 % English :
% 0.17/0.60
% 0.17/0.60 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.17/0.60 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 0.17/0.60 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.17/0.60 % Source : [ILF]
% 0.17/0.60 % Names : BOOLE (49) [TS89]
% 0.17/0.60
% 0.17/0.60 % Status : Theorem
% 0.17/0.60 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v2.2.1
% 0.17/0.60 % Syntax : Number of formulae : 4 ( 2 unt; 0 def)
% 0.17/0.60 % Number of atoms : 8 ( 0 equ)
% 0.17/0.60 % Maximal formula atoms : 3 ( 2 avg)
% 0.17/0.60 % Number of connectives : 5 ( 1 ~; 0 |; 1 &)
% 0.17/0.60 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.17/0.60 % Maximal formula depth : 7 ( 5 avg)
% 0.17/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.17/0.60 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.17/0.60 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.17/0.60 % Number of variables : 9 ( 9 !; 0 ?)
% 0.17/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.17/0.60
% 0.17/0.60 % Comments :
% 0.17/0.60 %--------------------------------------------------------------------------
% 0.17/0.60 %---- line(boole - df(4),1833078)
% 0.17/0.60 fof(difference_defn,axiom,
% 0.17/0.60 ! [B,C,D] :
% 0.17/0.60 ( member(D,difference(B,C))
% 0.17/0.60 <=> ( member(D,B)
% 0.17/0.60 & ~ member(D,C) ) ) ).
% 0.17/0.60
% 0.17/0.60 %---- line(tarski - df(3),1832749)
% 0.17/0.60 fof(subset_defn,axiom,
% 0.17/0.60 ! [B,C] :
% 0.17/0.60 ( subset(B,C)
% 0.17/0.60 <=> ! [D] :
% 0.17/0.60 ( member(D,B)
% 0.17/0.60 => member(D,C) ) ) ).
% 0.17/0.60
% 0.17/0.60 %---- property(reflexivity,op(subset,2,predicate))
% 0.17/0.60 fof(reflexivity_of_subset,axiom,
% 0.17/0.60 ! [B] : subset(B,B) ).
% 0.17/0.60
% 0.17/0.60 %---- line(boole - th(49),1833463)
% 0.17/0.60 fof(prove_th49,conjecture,
% 0.17/0.60 ! [B,C] : subset(difference(B,C),B) ).
% 0.17/0.60
% 0.17/0.60 %--------------------------------------------------------------------------
% 0.17/0.60 %-------------------------------------------
% 0.17/0.60 % Proof found
% 0.17/0.60 % SZS status Theorem for theBenchmark
% 0.17/0.60 % SZS output start Proof
% 0.17/0.60 %ClaNum:8(EqnAxiom:0)
% 0.17/0.60 %VarNum:35(SingletonVarNum:17)
% 0.17/0.60 %MaxLitNum:3
% 0.17/0.60 %MaxfuncDepth:1
% 0.17/0.60 %SharedTerms:4
% 0.17/0.60 %goalClause: 2
% 0.17/0.60 %singleGoalClaCount:1
% 0.17/0.60 [2]~P1(f2(a1,a4),a1)
% 0.17/0.60 [1]P1(x11,x11)
% 0.17/0.60 [3]P1(x31,x32)+P2(f3(x31,x32),x31)
% 0.17/0.61 [7]P1(x71,x72)+~P2(f3(x71,x72),x72)
% 0.17/0.61 [6]P2(x61,x62)+~P2(x61,f2(x62,x63))
% 0.17/0.61 [8]~P2(x81,x82)+~P2(x81,f2(x83,x82))
% 0.17/0.61 [4]~P1(x43,x42)+P2(x41,x42)+~P2(x41,x43)
% 0.17/0.61 [5]~P2(x51,x53)+P2(x51,x52)+P2(x51,f2(x53,x52))
% 0.17/0.61 %EqnAxiom
% 0.17/0.61
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 cnf(13,plain,
% 0.17/0.61 ($false),
% 0.17/0.61 inference(scs_inference,[],[2,7,3,8,6]),
% 0.17/0.61 ['proof']).
% 0.17/0.61 % SZS output end Proof
% 0.17/0.61 % Total time :0.000000s
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