TSTP Solution File: SET625+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET625+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 : n023.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 14:30:27 EDT 2023
% Result : Theorem 0.58s 0.66s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:18:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.42/0.60 start to proof:theBenchmark
% 0.58/0.65 %-------------------------------------------
% 0.58/0.65 % File :CSE---1.6
% 0.58/0.65 % Problem :theBenchmark
% 0.58/0.65 % Transform :cnf
% 0.58/0.65 % Format :tptp:raw
% 0.58/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.65
% 0.58/0.65 % Result :Theorem 0.000000s
% 0.58/0.65 % Output :CNFRefutation 0.000000s
% 0.58/0.65 %-------------------------------------------
% 0.58/0.66 %--------------------------------------------------------------------------
% 0.58/0.66 % File : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% 0.58/0.66 % Domain : Set Theory
% 0.58/0.66 % Problem : If X intersects Y and Y is a subset of Z, then X intersects Z
% 0.58/0.66 % Version : [Try90] axioms : Reduced > Incomplete.
% 0.58/0.66 % English :
% 0.58/0.66
% 0.58/0.66 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.58/0.66 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 0.58/0.66 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.58/0.66 % Source : [ILF]
% 0.58/0.66 % Names : BOOLE (101) [TS89]
% 0.58/0.66
% 0.58/0.66 % Status : Theorem
% 0.58/0.66 % Rating : 0.07 v8.1.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.2.1
% 0.58/0.66 % Syntax : Number of formulae : 5 ( 1 unt; 0 def)
% 0.58/0.66 % Number of atoms : 12 ( 0 equ)
% 0.58/0.66 % Maximal formula atoms : 3 ( 2 avg)
% 0.58/0.66 % Number of connectives : 7 ( 0 ~; 0 |; 2 &)
% 0.58/0.66 % ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% 0.58/0.66 % Maximal formula depth : 6 ( 5 avg)
% 0.58/0.66 % Maximal term depth : 1 ( 1 avg)
% 0.58/0.66 % Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% 0.58/0.66 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.58/0.66 % Number of variables : 12 ( 11 !; 1 ?)
% 0.58/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.58/0.66
% 0.58/0.66 % Comments :
% 0.58/0.66 %--------------------------------------------------------------------------
% 0.58/0.66 %---- line(boole - df(5),1833080)
% 0.58/0.66 fof(intersect_defn,axiom,
% 0.58/0.66 ! [B,C] :
% 0.58/0.66 ( intersect(B,C)
% 0.58/0.66 <=> ? [D] :
% 0.58/0.66 ( member(D,B)
% 0.58/0.66 & member(D,C) ) ) ).
% 0.58/0.66
% 0.58/0.66 %---- line(tarski - df(3),1832749)
% 0.58/0.66 fof(subset_defn,axiom,
% 0.58/0.66 ! [B,C] :
% 0.58/0.66 ( subset(B,C)
% 0.58/0.66 <=> ! [D] :
% 0.58/0.66 ( member(D,B)
% 0.58/0.66 => member(D,C) ) ) ).
% 0.58/0.66
% 0.58/0.66 %---- property(symmetry,op(intersect,2,predicate))
% 0.58/0.66 fof(symmetry_of_intersect,axiom,
% 0.58/0.66 ! [B,C] :
% 0.58/0.66 ( intersect(B,C)
% 0.58/0.66 => intersect(C,B) ) ).
% 0.58/0.66
% 0.58/0.66 %---- property(reflexivity,op(subset,2,predicate))
% 0.58/0.66 fof(reflexivity_of_subset,axiom,
% 0.58/0.66 ! [B] : subset(B,B) ).
% 0.58/0.66
% 0.58/0.66 %---- line(boole - th(101),1834313)
% 0.58/0.66 fof(prove_th101,conjecture,
% 0.58/0.66 ! [B,C,D] :
% 0.58/0.66 ( ( intersect(B,C)
% 0.58/0.66 & subset(C,D) )
% 0.58/0.66 => intersect(B,D) ) ).
% 0.58/0.66
% 0.58/0.66 %--------------------------------------------------------------------------
% 0.58/0.66 %-------------------------------------------
% 0.58/0.66 % Proof found
% 0.58/0.66 % SZS status Theorem for theBenchmark
% 0.58/0.66 % SZS output start Proof
% 0.58/0.66 %ClaNum:11(EqnAxiom:0)
% 0.58/0.66 %VarNum:38(SingletonVarNum:17)
% 0.58/0.66 %MaxLitNum:3
% 0.58/0.66 %MaxfuncDepth:1
% 0.58/0.66 %SharedTerms:6
% 0.58/0.66 %goalClause: 1 2 4
% 0.58/0.66 %singleGoalClaCount:3
% 0.58/0.66 [1]P1(a1,a4)
% 0.58/0.66 [2]P2(a4,a5)
% 0.58/0.66 [4]~P1(a1,a5)
% 0.58/0.66 [3]P2(x31,x31)
% 0.58/0.66 [5]~P1(x52,x51)+P1(x51,x52)
% 0.58/0.66 [6]P2(x61,x62)+P3(f2(x61,x62),x61)
% 0.58/0.66 [9]~P1(x91,x92)+P3(f3(x91,x92),x92)
% 0.58/0.66 [10]~P1(x101,x102)+P3(f3(x101,x102),x101)
% 0.58/0.66 [11]P2(x111,x112)+~P3(f2(x111,x112),x112)
% 0.58/0.66 [7]~P3(x73,x71)+P1(x71,x72)+~P3(x73,x72)
% 0.58/0.66 [8]~P2(x83,x82)+P3(x81,x82)+~P3(x81,x83)
% 0.58/0.66 %EqnAxiom
% 0.58/0.66
% 0.58/0.66 %-------------------------------------------
% 0.58/0.66 cnf(18,plain,
% 0.58/0.66 ($false),
% 0.58/0.66 inference(scs_inference,[],[1,2,4,5,10,9,8,7]),
% 0.58/0.66 ['proof']).
% 0.58/0.66 % SZS output end Proof
% 0.58/0.66 % Total time :0.000000s
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