%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET875+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 : n028.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 14:22:51 EDT 2024 % Result : Theorem 0.54s 0.73s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET875+1 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n028.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Jun 23 16:29:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 0.54/0.72 %------------------------------------------- % 0.54/0.72 % File :CSE---1.7 % 0.54/0.72 % Problem :theBenchmark % 0.54/0.72 % Transform :cnf % 0.54/0.72 % Format :tptp:raw % 0.54/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.72 % 0.54/0.72 % Result :Theorem 0.120000s % 0.54/0.72 % Output :CNFRefutation 0.120000s % 0.54/0.72 %------------------------------------------- % 0.54/0.73 %------------------------------------------------------------------------------ % 0.54/0.73 % File : SET875+1 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.73 % Domain : Set theory % 0.54/0.73 % Problem : ~ ( disjoint(singleton(A),singleton(B)) & A = B ) % 0.54/0.73 % Version : [Urb06] axioms : Especial. % 0.54/0.73 % English : % 0.54/0.73 % 0.54/0.73 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.54/0.73 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.54/0.73 % Source : [Urb06] % 0.54/0.73 % Names : zfmisc_1__t16_zfmisc_1 [Urb06] % 0.54/0.73 % 0.54/0.73 % Status : Theorem % 0.54/0.73 % Rating : 0.08 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.17 v5.5.0, 0.07 v5.3.0, 0.15 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 % 0.54/0.73 % Syntax : Number of formulae : 7 ( 2 unt; 0 def) % 0.54/0.73 % Number of atoms : 13 ( 3 equ) % 0.54/0.73 % Maximal formula atoms : 3 ( 1 avg) % 0.54/0.73 % Number of connectives : 10 ( 4 ~; 0 |; 2 &) % 0.54/0.73 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 0.54/0.73 % Maximal formula depth : 6 ( 4 avg) % 0.54/0.73 % Maximal term depth : 2 ( 1 avg) % 0.54/0.73 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.54/0.73 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.54/0.73 % Number of variables : 13 ( 11 !; 2 ?) % 0.54/0.73 % SPC : FOF_THM_RFO_SEQ % 0.54/0.73 % 0.54/0.73 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.54/0.73 % library, www.mizar.org % 0.54/0.73 %------------------------------------------------------------------------------ % 0.54/0.73 fof(antisymmetry_r2_hidden,axiom, % 0.54/0.73 ! [A,B] : % 0.54/0.73 ( in(A,B) % 0.54/0.73 => ~ in(B,A) ) ). % 0.54/0.73 % 0.54/0.73 fof(d1_tarski,axiom, % 0.54/0.73 ! [A,B] : % 0.54/0.73 ( B = singleton(A) % 0.54/0.73 <=> ! [C] : % 0.54/0.73 ( in(C,B) % 0.54/0.73 <=> C = A ) ) ). % 0.54/0.73 % 0.54/0.73 fof(l25_zfmisc_1,axiom, % 0.54/0.73 ! [A,B] : % 0.54/0.73 ~ ( disjoint(singleton(A),B) % 0.54/0.73 & in(A,B) ) ). % 0.54/0.73 % 0.54/0.73 fof(rc1_xboole_0,axiom, % 0.54/0.73 ? [A] : empty(A) ). % 0.54/0.73 % 0.54/0.73 fof(rc2_xboole_0,axiom, % 0.54/0.73 ? [A] : ~ empty(A) ). % 0.54/0.73 % 0.54/0.73 fof(symmetry_r1_xboole_0,axiom, % 0.54/0.73 ! [A,B] : % 0.54/0.73 ( disjoint(A,B) % 0.54/0.73 => disjoint(B,A) ) ). % 0.54/0.73 % 0.54/0.73 fof(t16_zfmisc_1,conjecture, % 0.54/0.73 ! [A,B] : % 0.54/0.73 ~ ( disjoint(singleton(A),singleton(B)) % 0.54/0.73 & A = B ) ). % 0.54/0.73 % 0.54/0.73 %------------------------------------------------------------------------------ % 0.54/0.73 %------------------------------------------- % 0.54/0.73 % Proof found % 0.54/0.73 % SZS status Theorem for theBenchmark % 0.54/0.73 % SZS output start Proof % 0.54/0.73 %ClaNum:22(EqnAxiom:11) % 0.54/0.73 %VarNum:40(SingletonVarNum:16) % 0.54/0.73 %MaxLitNum:3 % 0.54/0.73 %MaxfuncDepth:1 % 0.54/0.73 %SharedTerms:10 % 0.54/0.73 %goalClause: 12 14 % 0.54/0.73 %singleGoalClaCount:2 % 0.54/0.73 [12]E(a1,a2) % 0.54/0.73 [13]P1(a3) % 0.54/0.73 [15]~P1(a5) % 0.54/0.73 [14]P2(f6(a2),f6(a1)) % 0.54/0.73 [18]~P2(x182,x181)+P2(x181,x182) % 0.54/0.73 [19]~P3(x192,x191)+~P3(x191,x192) % 0.54/0.73 [20]~P3(x201,x202)+~P2(f6(x201),x202) % 0.54/0.73 [21]E(f4(x212,x211),x212)+P3(f4(x212,x211),x211)+E(x211,f6(x212)) % 0.54/0.73 [22]~E(f4(x222,x221),x222)+~P3(f4(x222,x221),x221)+E(x221,f6(x222)) % 0.54/0.73 [16]P3(x161,x162)+~E(x161,x163)+~E(x162,f6(x163)) % 0.54/0.73 [17]~P3(x171,x173)+E(x171,x172)+~E(x173,f6(x172)) % 0.54/0.73 %EqnAxiom % 0.54/0.73 [1]E(x11,x11) % 0.54/0.73 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.73 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.54/0.73 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 0.54/0.73 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 0.54/0.73 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.54/0.73 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.54/0.73 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.54/0.73 [10]P3(x102,x103)+~E(x101,x102)+~P3(x101,x103) % 0.54/0.73 [11]P3(x113,x112)+~E(x111,x112)+~P3(x113,x111) % 0.54/0.73 % 0.54/0.73 %------------------------------------------- % 0.54/0.73 cnf(24,plain, % 0.54/0.73 (E(a2,a1)), % 0.54/0.73 inference(scs_inference,[],[12,2])). % 0.54/0.73 cnf(28,plain, % 0.54/0.73 (P2(x281,f6(a1))+~E(f6(a2),x281)), % 0.54/0.73 inference(scs_inference,[],[12,14,2,20,7,8])). % 0.54/0.73 cnf(34,plain, % 0.54/0.74 (~P3(a1,f6(a2))), % 0.54/0.74 inference(scs_inference,[],[14,18,20])). % 0.54/0.74 cnf(67,plain, % 0.54/0.74 (E(f6(a2),f6(a1))), % 0.54/0.74 inference(scs_inference,[],[12,2,4])). % 0.54/0.74 cnf(74,plain, % 0.54/0.74 ($false), % 0.54/0.74 inference(scs_inference,[],[12,24,67,34,28,20,2,16,3]), % 0.54/0.74 ['proof']). % 0.54/0.74 % SZS output end Proof % 0.54/0.74 % Total time :0.120000s %------------------------------------------------------------------------------