%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET876+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 14:22:51 EDT 2024 % Result : Theorem 0.56s 0.60s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET876+1 : TPTP v8.2.0. Released v3.2.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.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 17:53:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.56 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 %------------------------------------------- % 0.56/0.60 %------------------------------------------------------------------------------ % 0.56/0.60 % File : SET876+1 : TPTP v8.2.0. Released v3.2.0. % 0.56/0.60 % Domain : Set theory % 0.56/0.60 % Problem : A != B => disjoint(singleton(A),singleton(B)) % 0.56/0.60 % Version : [Urb06] axioms : Especial. % 0.56/0.60 % English : % 0.56/0.60 % 0.56/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.56/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.56/0.60 % Source : [Urb06] % 0.56/0.60 % Names : zfmisc_1__t17_zfmisc_1 [Urb06] % 0.56/0.60 % 0.56/0.60 % Status : Theorem % 0.56/0.60 % Rating : 0.11 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.2.0, 0.07 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, 0.17 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 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.56/0.60 % Syntax : Number of formulae : 7 ( 2 unt; 0 def) % 0.56/0.60 % Number of atoms : 13 ( 3 equ) % 0.56/0.60 % Maximal formula atoms : 3 ( 1 avg) % 0.56/0.60 % Number of connectives : 10 ( 4 ~; 0 |; 0 &) % 0.56/0.60 % ( 2 <=>; 4 =>; 0 <=; 0 <~>) % 0.56/0.60 % Maximal formula depth : 6 ( 4 avg) % 0.56/0.60 % Maximal term depth : 2 ( 1 avg) % 0.56/0.60 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.56/0.60 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.56/0.60 % Number of variables : 13 ( 11 !; 2 ?) % 0.56/0.60 % SPC : FOF_THM_RFO_SEQ % 0.56/0.60 % 0.56/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.60 % library, www.mizar.org % 0.56/0.60 %------------------------------------------------------------------------------ % 0.56/0.60 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.60 ! [A,B] : % 0.56/0.60 ( in(A,B) % 0.56/0.60 => ~ in(B,A) ) ). % 0.56/0.60 % 0.56/0.60 fof(d1_tarski,axiom, % 0.56/0.60 ! [A,B] : % 0.56/0.60 ( B = singleton(A) % 0.56/0.60 <=> ! [C] : % 0.56/0.60 ( in(C,B) % 0.56/0.60 <=> C = A ) ) ). % 0.56/0.60 % 0.56/0.60 fof(l28_zfmisc_1,axiom, % 0.56/0.60 ! [A,B] : % 0.56/0.60 ( ~ in(A,B) % 0.56/0.60 => disjoint(singleton(A),B) ) ). % 0.56/0.60 % 0.56/0.60 fof(rc1_xboole_0,axiom, % 0.56/0.60 ? [A] : empty(A) ). % 0.56/0.60 % 0.56/0.60 fof(rc2_xboole_0,axiom, % 0.56/0.60 ? [A] : ~ empty(A) ). % 0.56/0.60 % 0.56/0.60 fof(symmetry_r1_xboole_0,axiom, % 0.56/0.60 ! [A,B] : % 0.56/0.60 ( disjoint(A,B) % 0.56/0.60 => disjoint(B,A) ) ). % 0.56/0.60 % 0.56/0.60 fof(t17_zfmisc_1,conjecture, % 0.56/0.60 ! [A,B] : % 0.56/0.60 ( A != B % 0.56/0.60 => disjoint(singleton(A),singleton(B)) ) ). % 0.56/0.60 % 0.56/0.60 %------------------------------------------------------------------------------ % 0.56/0.60 %------------------------------------------- % 0.56/0.60 % Proof found % 0.56/0.60 % SZS status Theorem for theBenchmark % 0.56/0.60 % SZS output start Proof % 0.56/0.60 %ClaNum:22(EqnAxiom:11) % 0.56/0.60 %VarNum:40(SingletonVarNum:16) % 0.56/0.60 %MaxLitNum:3 % 0.56/0.60 %MaxfuncDepth:1 % 0.56/0.60 %SharedTerms:10 % 0.56/0.60 %goalClause: 13 15 % 0.56/0.60 %singleGoalClaCount:2 % 0.56/0.60 [12]P1(a1) % 0.56/0.60 [13]~E(a3,a5) % 0.56/0.60 [14]~P1(a4) % 0.56/0.60 [15]~P2(f6(a3),f6(a5)) % 0.56/0.60 [19]~P2(x192,x191)+P2(x191,x192) % 0.56/0.60 [20]~P3(x202,x201)+~P3(x201,x202) % 0.56/0.60 [18]P3(x181,x182)+P2(f6(x181),x182) % 0.56/0.60 [21]E(f2(x212,x211),x212)+P3(f2(x212,x211),x211)+E(x211,f6(x212)) % 0.56/0.60 [22]~E(f2(x222,x221),x222)+~P3(f2(x222,x221),x221)+E(x221,f6(x222)) % 0.56/0.60 [16]P3(x161,x162)+~E(x161,x163)+~E(x162,f6(x163)) % 0.56/0.60 [17]~P3(x171,x173)+E(x171,x172)+~E(x173,f6(x172)) % 0.56/0.60 %EqnAxiom % 0.56/0.60 [1]E(x11,x11) % 0.56/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.60 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.56/0.60 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53)) % 0.56/0.60 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62)) % 0.56/0.60 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.56/0.60 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83) % 0.56/0.60 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91) % 0.56/0.60 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.56/0.60 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.56/0.60 % 0.56/0.60 %------------------------------------------- % 0.56/0.61 cnf(23,plain, % 0.56/0.61 (~P3(x231,f6(x232))+E(x231,x232)), % 0.56/0.61 inference(equality_inference,[],[17])). % 0.56/0.61 cnf(26,plain, % 0.56/0.61 ($false), % 0.56/0.61 inference(scs_inference,[],[13,15,23,18]), % 0.56/0.61 ['proof']). % 0.56/0.61 % SZS output end Proof % 0.56/0.61 % Total time :0.000000s %------------------------------------------------------------------------------