%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET583+3 : TPTP v8.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n024.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 14:21:49 EDT 2024 % Result : Theorem 0.19s 0.59s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET583+3 : TPTP v8.2.0. Released v2.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n024.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Sun Jun 23 11:15:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.19/0.58 %------------------------------------------- % 0.19/0.58 % File :CSE---1.7 % 0.19/0.58 % Problem :theBenchmark % 0.19/0.58 % Transform :cnf % 0.19/0.58 % Format :tptp:raw % 0.19/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.19/0.58 % 0.19/0.58 % Result :Theorem 0.000000s % 0.19/0.58 % Output :CNFRefutation 0.000000s % 0.19/0.58 %------------------------------------------- % 0.19/0.58 %-------------------------------------------------------------------------- % 0.19/0.58 % File : SET583+3 : TPTP v8.2.0. Released v2.2.0. % 0.19/0.58 % Domain : Set Theory % 0.19/0.58 % Problem : Extensionality % 0.19/0.58 % Version : [Try90] axioms : Reduced > Incomplete. % 0.19/0.58 % English : % 0.19/0.58 % 0.19/0.58 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int % 0.19/0.58 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of % 0.19/0.58 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory % 0.19/0.58 % Source : [ILF] % 0.19/0.58 % Names : BOOLE (28) [TS89] % 0.19/0.58 % 0.19/0.58 % Status : Theorem % 0.19/0.58 % Rating : 0.00 v5.3.0, 0.07 v5.2.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1 % 0.19/0.58 % Syntax : Number of formulae : 4 ( 1 unt; 0 def) % 0.19/0.58 % Number of atoms : 10 ( 2 equ) % 0.19/0.58 % Maximal formula atoms : 3 ( 2 avg) % 0.19/0.58 % Number of connectives : 6 ( 0 ~; 0 |; 2 &) % 0.19/0.58 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 0.19/0.58 % Maximal formula depth : 6 ( 5 avg) % 0.19/0.58 % Maximal term depth : 1 ( 1 avg) % 0.19/0.58 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty) % 0.19/0.58 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.19/0.58 % Number of variables : 8 ( 8 !; 0 ?) % 0.19/0.58 % SPC : FOF_THM_RFO_SEQ % 0.19/0.58 % 0.19/0.58 % Comments : % 0.19/0.58 %-------------------------------------------------------------------------- % 0.19/0.58 %---- line(boole - df(8),1833103) % 0.19/0.58 fof(equal_defn,axiom, % 0.19/0.58 ! [B,C] : % 0.19/0.58 ( B = C % 0.19/0.58 <=> ( subset(B,C) % 0.19/0.58 & subset(C,B) ) ) ). % 0.19/0.58 % 0.19/0.58 %---- line(tarski - df(3),1832749) % 0.19/0.58 fof(subset_defn,axiom, % 0.19/0.58 ! [B,C] : % 0.19/0.58 ( subset(B,C) % 0.19/0.58 <=> ! [D] : % 0.19/0.58 ( member(D,B) % 0.19/0.58 => member(D,C) ) ) ). % 0.19/0.58 % 0.19/0.58 %---- property(reflexivity,op(subset,2,predicate)) % 0.19/0.58 fof(reflexivity_of_subset,axiom, % 0.19/0.58 ! [B] : subset(B,B) ). % 0.19/0.58 % 0.19/0.58 %---- line(boole - th(28),1833154) % 0.19/0.58 fof(prove_extensionality,conjecture, % 0.19/0.58 ! [B,C] : % 0.19/0.58 ( ( subset(B,C) % 0.19/0.58 & subset(C,B) ) % 0.19/0.58 => B = C ) ). % 0.19/0.58 % 0.19/0.58 %-------------------------------------------------------------------------- % 0.19/0.58 %------------------------------------------- % 0.19/0.58 % Proof found % 0.19/0.59 % SZS status Theorem for theBenchmark % 0.19/0.59 % SZS output start Proof % 0.19/0.59 %ClaNum:19(EqnAxiom:9) % 0.19/0.59 %VarNum:28(SingletonVarNum:12) % 0.19/0.59 %MaxLitNum:3 % 0.19/0.59 %MaxfuncDepth:1 % 0.19/0.59 %SharedTerms:5 % 0.19/0.59 %goalClause: 10 11 13 % 0.19/0.59 %singleGoalClaCount:3 % 0.19/0.59 [10]P1(a1,a3) % 0.19/0.59 [11]P1(a3,a1) % 0.19/0.59 [13]~E(a3,a1) % 0.19/0.59 [12]P1(x121,x121) % 0.19/0.59 [15]~E(x151,x152)+P1(x151,x152) % 0.19/0.59 [17]P1(x171,x172)+P2(f2(x171,x172),x171) % 0.19/0.59 [19]P1(x191,x192)+~P2(f2(x191,x192),x192) % 0.19/0.59 [16]~P1(x162,x161)+~P1(x161,x162)+E(x161,x162) % 0.19/0.59 [18]~P2(x181,x183)+P2(x181,x182)+~P1(x183,x182) % 0.19/0.59 %EqnAxiom % 0.19/0.59 [1]E(x11,x11) % 0.19/0.59 [2]E(x22,x21)+~E(x21,x22) % 0.19/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.19/0.59 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.19/0.59 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.19/0.59 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63) % 0.19/0.59 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71) % 0.19/0.59 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.19/0.59 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.19/0.59 % 0.19/0.59 %------------------------------------------- % 0.19/0.59 cnf(21,plain, % 0.19/0.59 ($false), % 0.19/0.59 inference(scs_inference,[],[10,11,13,16]), % 0.19/0.59 ['proof']). % 0.19/0.59 % SZS output end Proof % 0.19/0.59 % Total time :0.000000s %------------------------------------------------------------------------------