TSTP Solution File: SET631+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 14:30:30 EDT 2023
% Result : Theorem 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 10:03:38 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.17/0.53 start to proof:theBenchmark
% 0.17/0.56 %-------------------------------------------
% 0.17/0.56 % File :CSE---1.6
% 0.17/0.56 % Problem :theBenchmark
% 0.17/0.56 % Transform :cnf
% 0.17/0.56 % Format :tptp:raw
% 0.17/0.56 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.56
% 0.17/0.56 % Result :Theorem 0.000000s
% 0.17/0.56 % Output :CNFRefutation 0.000000s
% 0.17/0.56 %-------------------------------------------
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 % File : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.17/0.57 % Domain : Set Theory
% 0.17/0.57 % Problem : If X intersects the difference of Y and Z, then X intersects Y
% 0.17/0.57 % Version : [Try90] axioms : Reduced > Incomplete.
% 0.17/0.57 % English :
% 0.17/0.57
% 0.17/0.57 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.17/0.57 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 0.17/0.57 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.17/0.57 % Source : [ILF]
% 0.17/0.57 % Names : BOOLE (113) [TS89]
% 0.17/0.57
% 0.17/0.57 % Status : Theorem
% 0.17/0.57 % Rating : 0.07 v8.1.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.2.1
% 0.17/0.57 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.17/0.57 % Number of atoms : 10 ( 0 equ)
% 0.17/0.57 % Maximal formula atoms : 3 ( 2 avg)
% 0.17/0.57 % Number of connectives : 7 ( 1 ~; 0 |; 2 &)
% 0.17/0.57 % ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% 0.17/0.57 % Maximal formula depth : 7 ( 6 avg)
% 0.17/0.57 % Maximal term depth : 2 ( 1 avg)
% 0.17/0.57 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.17/0.57 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.17/0.57 % Number of variables : 11 ( 10 !; 1 ?)
% 0.17/0.57 % SPC : FOF_THM_RFO_NEQ
% 0.17/0.57
% 0.17/0.57 % Comments :
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 %---- line(boole - df(4),1833078)
% 0.17/0.57 fof(difference_defn,axiom,
% 0.17/0.57 ! [B,C,D] :
% 0.17/0.57 ( member(D,difference(B,C))
% 0.17/0.57 <=> ( member(D,B)
% 0.17/0.57 & ~ member(D,C) ) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(boole - df(5),1833080)
% 0.17/0.57 fof(intersect_defn,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( intersect(B,C)
% 0.17/0.57 <=> ? [D] :
% 0.17/0.57 ( member(D,B)
% 0.17/0.57 & member(D,C) ) ) ).
% 0.17/0.57
% 0.17/0.57 %---- property(symmetry,op(intersect,2,predicate))
% 0.17/0.57 fof(symmetry_of_intersect,axiom,
% 0.17/0.57 ! [B,C] :
% 0.17/0.57 ( intersect(B,C)
% 0.17/0.57 => intersect(C,B) ) ).
% 0.17/0.57
% 0.17/0.57 %---- line(boole - th(113),1834379)
% 0.17/0.57 fof(prove_th113,conjecture,
% 0.17/0.57 ! [B,C,D] :
% 0.17/0.57 ( intersect(B,difference(C,D))
% 0.17/0.57 => intersect(B,C) ) ).
% 0.17/0.57
% 0.17/0.57 %--------------------------------------------------------------------------
% 0.17/0.57 %-------------------------------------------
% 0.17/0.57 % Proof found
% 0.17/0.57 % SZS status Theorem for theBenchmark
% 0.17/0.57 % SZS output start Proof
% 0.17/0.57 %ClaNum:9(EqnAxiom:0)
% 0.17/0.57 %VarNum:37(SingletonVarNum:18)
% 0.17/0.57 %MaxLitNum:3
% 0.17/0.57 %MaxfuncDepth:1
% 0.17/0.57 %SharedTerms:6
% 0.17/0.57 %goalClause: 1 2
% 0.17/0.57 %singleGoalClaCount:2
% 0.17/0.57 [2]~P1(a1,a4)
% 0.17/0.57 [1]P1(a1,f2(a4,a5))
% 0.17/0.57 [3]~P1(x32,x31)+P1(x31,x32)
% 0.17/0.57 [5]~P1(x51,x52)+P2(f3(x51,x52),x52)
% 0.17/0.57 [6]~P1(x61,x62)+P2(f3(x61,x62),x61)
% 0.17/0.57 [8]P2(x81,x82)+~P2(x81,f2(x82,x83))
% 0.17/0.57 [9]~P2(x91,x92)+~P2(x91,f2(x93,x92))
% 0.17/0.57 [4]~P2(x43,x41)+P1(x41,x42)+~P2(x43,x42)
% 0.17/0.57 [7]~P2(x71,x73)+P2(x71,x72)+P2(x71,f2(x73,x72))
% 0.17/0.57 %EqnAxiom
% 0.17/0.57
% 0.17/0.57 %-------------------------------------------
% 0.17/0.57 cnf(20,plain,
% 0.17/0.57 ($false),
% 0.17/0.57 inference(scs_inference,[],[1,2,3,6,5,4,7,9,8]),
% 0.17/0.57 ['proof']).
% 0.17/0.57 % SZS output end Proof
% 0.17/0.57 % Total time :0.000000s
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