%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU148+3 : 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 : n032.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 15:01:20 EDT 2024 % Result : Theorem 0.11s 0.48s % Output : CNFRefutation 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.08 % Problem : SEU148+3 : TPTP v8.2.0. Released v3.2.0. % 0.02/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.07/0.26 % Computer : n032.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 300 % 0.07/0.26 % DateTime : Fri Jun 21 13:49:38 EDT 2024 % 0.07/0.26 % CPUTime : % 0.11/0.44 start to proof:theBenchmark % 0.11/0.47 %------------------------------------------- % 0.11/0.47 % File :CSE---1.7 % 0.11/0.47 % Problem :theBenchmark % 0.11/0.47 % Transform :cnf % 0.11/0.47 % Format :tptp:raw % 0.11/0.47 % Command :java -jar mcs_scs.jar %d %s % 0.11/0.47 % 0.11/0.47 % Result :Theorem 0.000000s % 0.11/0.47 % Output :CNFRefutation 0.000000s % 0.11/0.47 %------------------------------------------- % 0.11/0.47 %------------------------------------------------------------------------------ % 0.11/0.47 % File : SEU148+3 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.47 % Domain : Set theory % 0.11/0.47 % Problem : Basic properties of sets, theorem 6 % 0.11/0.47 % Version : [Urb06] axioms : Especial. % 0.11/0.47 % English : % 0.11/0.47 % 0.11/0.47 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.11/0.47 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.11/0.47 % Source : [Urb06] % 0.11/0.47 % Names : zfmisc_1__t6_zfmisc_1 [Urb06] % 0.11/0.47 % 0.11/0.47 % Status : Theorem % 0.11/0.47 % Rating : 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.30 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.11/0.47 % Syntax : Number of formulae : 9 ( 5 unt; 0 def) % 0.11/0.47 % Number of atoms : 15 ( 6 equ) % 0.11/0.47 % Maximal formula atoms : 3 ( 1 avg) % 0.11/0.47 % Number of connectives : 9 ( 3 ~; 1 |; 0 &) % 0.11/0.47 % ( 3 <=>; 2 =>; 0 <=; 0 <~>) % 0.11/0.47 % Maximal formula depth : 6 ( 4 avg) % 0.11/0.47 % Maximal term depth : 2 ( 1 avg) % 0.11/0.47 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.11/0.47 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty) % 0.11/0.47 % Number of variables : 14 ( 12 !; 2 ?) % 0.11/0.47 % SPC : FOF_THM_RFO_SEQ % 0.11/0.47 % 0.11/0.47 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.11/0.47 % library, www.mizar.org % 0.11/0.47 %------------------------------------------------------------------------------ % 0.11/0.47 fof(antisymmetry_r2_hidden,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( in(A,B) % 0.11/0.47 => ~ in(B,A) ) ). % 0.11/0.47 % 0.11/0.47 fof(d1_tarski,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( B = singleton(A) % 0.11/0.47 <=> ! [C] : % 0.11/0.47 ( in(C,B) % 0.11/0.47 <=> C = A ) ) ). % 0.11/0.47 % 0.11/0.47 fof(fc1_xboole_0,axiom, % 0.11/0.47 empty(empty_set) ). % 0.11/0.47 % 0.11/0.47 fof(l1_zfmisc_1,axiom, % 0.11/0.47 ! [A] : singleton(A) != empty_set ). % 0.11/0.47 % 0.11/0.47 fof(l4_zfmisc_1,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( subset(A,singleton(B)) % 0.11/0.47 <=> ( A = empty_set % 0.11/0.47 | A = singleton(B) ) ) ). % 0.11/0.48 % 0.11/0.48 fof(rc1_xboole_0,axiom, % 0.11/0.48 ? [A] : empty(A) ). % 0.11/0.48 % 0.11/0.48 fof(rc2_xboole_0,axiom, % 0.11/0.48 ? [A] : ~ empty(A) ). % 0.11/0.48 % 0.11/0.48 fof(reflexivity_r1_tarski,axiom, % 0.11/0.48 ! [A,B] : subset(A,A) ). % 0.11/0.48 % 0.11/0.48 fof(t6_zfmisc_1,conjecture, % 0.11/0.48 ! [A,B] : % 0.11/0.48 ( subset(singleton(A),singleton(B)) % 0.11/0.48 => A = B ) ). % 0.11/0.48 % 0.11/0.48 %------------------------------------------------------------------------------ % 0.11/0.48 %------------------------------------------- % 0.11/0.48 % Proof found % 0.11/0.48 % SZS status Theorem for theBenchmark % 0.11/0.48 % SZS output start Proof % 0.11/0.48 %ClaNum:26(EqnAxiom:11) % 0.11/0.48 %VarNum:47(SingletonVarNum:20) % 0.11/0.48 %MaxLitNum:3 % 0.11/0.48 %MaxfuncDepth:1 % 0.11/0.48 %SharedTerms:12 % 0.11/0.48 %goalClause: 15 16 % 0.11/0.48 %singleGoalClaCount:2 % 0.11/0.48 [12]P1(a1) % 0.11/0.48 [13]P1(a2) % 0.11/0.48 [16]~E(a7,a4) % 0.11/0.48 [17]~P1(a5) % 0.11/0.48 [15]P2(f6(a4),f6(a7)) % 0.11/0.48 [14]P2(x141,x141) % 0.11/0.48 [18]~E(f6(x181),a1) % 0.11/0.48 [24]~P3(x242,x241)+~P3(x241,x242) % 0.11/0.48 [19]~E(x191,a1)+P2(x191,f6(x192)) % 0.11/0.48 [21]P2(x211,f6(x212))+~E(x211,f6(x212)) % 0.11/0.48 [23]E(x231,a1)+E(x231,f6(x232))+~P2(x231,f6(x232)) % 0.11/0.48 [25]E(f3(x252,x251),x252)+P3(f3(x252,x251),x251)+E(x251,f6(x252)) % 0.11/0.48 [26]~E(f3(x262,x261),x262)+~P3(f3(x262,x261),x261)+E(x261,f6(x262)) % 0.11/0.48 [20]P3(x201,x202)+~E(x201,x203)+~E(x202,f6(x203)) % 0.11/0.48 [22]~P3(x221,x223)+E(x221,x222)+~E(x223,f6(x222)) % 0.11/0.48 %EqnAxiom % 0.11/0.48 [1]E(x11,x11) % 0.11/0.48 [2]E(x22,x21)+~E(x21,x22) % 0.11/0.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.11/0.48 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.11/0.48 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53)) % 0.11/0.48 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62)) % 0.11/0.48 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.11/0.48 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83) % 0.11/0.48 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91) % 0.11/0.48 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.11/0.48 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.11/0.48 % 0.11/0.48 %------------------------------------------- % 0.11/0.48 cnf(29,plain, % 0.11/0.48 (~P3(x291,f6(x292))+E(x291,x292)), % 0.11/0.48 inference(equality_inference,[],[22])). % 0.11/0.48 cnf(30,plain, % 0.11/0.48 (~P3(a7,f6(a4))), % 0.11/0.48 inference(scs_inference,[],[16,29])). % 0.11/0.48 cnf(32,plain, % 0.11/0.48 (E(f6(a4),f6(a7))), % 0.11/0.48 inference(scs_inference,[],[15,16,18,29,23])). % 0.11/0.48 cnf(51,plain, % 0.11/0.48 ($false), % 0.11/0.48 inference(scs_inference,[],[32,30,20]), % 0.11/0.48 ['proof']). % 0.11/0.48 % SZS output end Proof % 0.11/0.48 % Total time :0.000000s %------------------------------------------------------------------------------