%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET933+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 14:23:02 EDT 2024 % Result : Theorem 0.54s 0.60s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET933+1 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n020.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 11:20:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.21/0.57 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.000000s % 0.54/0.60 % Output :CNFRefutation 0.000000s % 0.54/0.60 %------------------------------------------- % 0.54/0.60 %------------------------------------------------------------------------------ % 0.54/0.60 % File : SET933+1 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.60 % Domain : Set theory % 0.54/0.60 % Problem : subset(singleton(A),powerset(A)) % 0.54/0.60 % Version : [Urb06] axioms : Especial. % 0.54/0.60 % English : % 0.54/0.60 % 0.54/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.54/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.54/0.60 % Source : [Urb06] % 0.54/0.60 % Names : zfmisc_1__t80_zfmisc_1 [Urb06] % 0.54/0.60 % 0.54/0.60 % Status : Theorem % 0.54/0.60 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.54/0.60 % Syntax : Number of formulae : 7 ( 4 unt; 0 def) % 0.54/0.60 % Number of atoms : 11 ( 1 equ) % 0.54/0.60 % Maximal formula atoms : 3 ( 1 avg) % 0.54/0.60 % Number of connectives : 6 ( 2 ~; 0 |; 0 &) % 0.54/0.60 % ( 3 <=>; 1 =>; 0 <=; 0 <~>) % 0.54/0.60 % Maximal formula depth : 6 ( 4 avg) % 0.54/0.60 % Maximal term depth : 2 ( 1 avg) % 0.54/0.60 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.54/0.60 % Number of functors : 2 ( 2 usr; 0 con; 1-1 aty) % 0.54/0.60 % Number of variables : 12 ( 10 !; 2 ?) % 0.54/0.60 % SPC : FOF_THM_RFO_SEQ % 0.54/0.60 % 0.54/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.54/0.60 % library, www.mizar.org % 0.54/0.60 %------------------------------------------------------------------------------ % 0.54/0.60 fof(antisymmetry_r2_hidden,axiom, % 0.54/0.60 ! [A,B] : % 0.54/0.60 ( in(A,B) % 0.54/0.60 => ~ in(B,A) ) ). % 0.54/0.60 % 0.54/0.60 fof(d1_zfmisc_1,axiom, % 0.54/0.60 ! [A,B] : % 0.54/0.60 ( B = powerset(A) % 0.54/0.60 <=> ! [C] : % 0.54/0.60 ( in(C,B) % 0.54/0.60 <=> subset(C,A) ) ) ). % 0.54/0.60 % 0.54/0.60 fof(l2_zfmisc_1,axiom, % 0.54/0.60 ! [A,B] : % 0.54/0.60 ( subset(singleton(A),B) % 0.54/0.60 <=> in(A,B) ) ). % 0.54/0.60 % 0.54/0.60 fof(rc1_xboole_0,axiom, % 0.54/0.60 ? [A] : empty(A) ). % 0.54/0.60 % 0.54/0.60 fof(rc2_xboole_0,axiom, % 0.54/0.60 ? [A] : ~ empty(A) ). % 0.54/0.60 % 0.54/0.60 fof(reflexivity_r1_tarski,axiom, % 0.54/0.60 ! [A,B] : subset(A,A) ). % 0.54/0.60 % 0.54/0.60 fof(t80_zfmisc_1,conjecture, % 0.54/0.60 ! [A] : subset(singleton(A),powerset(A)) ). % 0.54/0.60 % 0.54/0.60 %------------------------------------------------------------------------------ % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % Proof found % 0.54/0.60 % SZS status Theorem for theBenchmark % 0.54/0.60 % SZS output start Proof % 0.54/0.60 %ClaNum:23(EqnAxiom:12) % 0.54/0.60 %VarNum:42(SingletonVarNum:17) % 0.54/0.60 %MaxLitNum:3 % 0.54/0.60 %MaxfuncDepth:1 % 0.54/0.60 %SharedTerms:8 % 0.54/0.60 %goalClause: 16 % 0.54/0.60 %singleGoalClaCount:1 % 0.54/0.60 [13]P1(a1) % 0.54/0.60 [15]~P1(a3) % 0.54/0.60 [16]~P2(f5(a4),f6(a4)) % 0.54/0.60 [14]P2(x141,x141) % 0.54/0.60 [18]~P3(x182,x181)+~P3(x181,x182) % 0.54/0.60 [17]~P3(x171,x172)+P2(f5(x171),x172) % 0.54/0.60 [21]P3(x211,x212)+~P2(f5(x211),x212) % 0.54/0.60 [22]P3(f2(x222,x221),x221)+P2(f2(x222,x221),x222)+E(x221,f6(x222)) % 0.54/0.60 [23]~P3(f2(x232,x231),x231)+~P2(f2(x232,x231),x232)+E(x231,f6(x232)) % 0.54/0.60 [19]~P2(x191,x193)+P3(x191,x192)+~E(x192,f6(x193)) % 0.54/0.60 [20]~P3(x201,x203)+P2(x201,x202)+~E(x203,f6(x202)) % 0.54/0.60 %EqnAxiom % 0.54/0.60 [1]E(x11,x11) % 0.54/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.60 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.54/0.60 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 0.54/0.60 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63)) % 0.54/0.60 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72)) % 0.54/0.60 [8]~P1(x81)+P1(x82)+~E(x81,x82) % 0.54/0.60 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93) % 0.54/0.60 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101) % 0.54/0.60 [11]P3(x112,x113)+~E(x111,x112)+~P3(x111,x113) % 0.54/0.60 [12]P3(x123,x122)+~E(x121,x122)+~P3(x123,x121) % 0.54/0.60 % 0.54/0.60 %------------------------------------------- % 0.54/0.61 cnf(24,plain, % 0.54/0.61 (~P2(x241,x242)+P3(x241,f6(x242))), % 0.54/0.61 inference(equality_inference,[],[19])). % 0.54/0.61 cnf(25,plain, % 0.54/0.61 (~P3(x251,f6(x252))+P2(x251,x252)), % 0.54/0.61 inference(equality_inference,[],[20])). % 0.54/0.61 cnf(29,plain, % 0.54/0.61 (P2(x291,x291)), % 0.54/0.61 inference(rename_variables,[],[14])). % 0.54/0.61 cnf(35,plain, % 0.54/0.61 ($false), % 0.54/0.61 inference(scs_inference,[],[16,14,29,17,21,25,18,24]), % 0.54/0.61 ['proof']). % 0.54/0.61 % SZS output end Proof % 0.54/0.61 % Total time :0.000000s %------------------------------------------------------------------------------