%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET917+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 : n027.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 14:22:59 EDT 2024 % Result : Theorem 0.57s 0.68s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET917+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 % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Jun 23 14:28:24 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.57/0.67 %------------------------------------------- % 0.57/0.67 % File :CSE---1.7 % 0.57/0.67 % Problem :theBenchmark % 0.57/0.67 % Transform :cnf % 0.57/0.67 % Format :tptp:raw % 0.57/0.67 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.67 % 0.57/0.67 % Result :Theorem 0.040000s % 0.57/0.67 % Output :CNFRefutation 0.040000s % 0.57/0.67 %------------------------------------------- % 0.57/0.67 %------------------------------------------------------------------------------ % 0.57/0.67 % File : SET917+1 : TPTP v8.2.0. Released v3.2.0. % 0.57/0.67 % Domain : Set theory % 0.57/0.67 % Problem : disjoint(sgtn(A),B) | intersection(sgtn(A),B) = sgtn(A) % 0.57/0.67 % Version : [Urb06] axioms : Especial. % 0.57/0.67 % English : % 0.57/0.67 % 0.57/0.67 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.57/0.67 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.57/0.67 % Source : [Urb06] % 0.57/0.67 % Names : zfmisc_1__t58_zfmisc_1 [Urb06] % 0.57/0.67 % 0.57/0.67 % Status : Theorem % 0.57/0.67 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 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 % 0.57/0.67 % Syntax : Number of formulae : 9 ( 4 unt; 0 def) % 0.57/0.67 % Number of atoms : 14 ( 4 equ) % 0.57/0.67 % Maximal formula atoms : 2 ( 1 avg) % 0.57/0.67 % Number of connectives : 8 ( 3 ~; 1 |; 0 &) % 0.57/0.67 % ( 0 <=>; 4 =>; 0 <=; 0 <~>) % 0.57/0.67 % Maximal formula depth : 5 ( 4 avg) % 0.57/0.67 % Maximal term depth : 3 ( 1 avg) % 0.57/0.67 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.57/0.67 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.57/0.67 % Number of variables : 16 ( 14 !; 2 ?) % 0.57/0.67 % SPC : FOF_THM_RFO_SEQ % 0.57/0.67 % 0.57/0.67 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.57/0.67 % library, www.mizar.org % 0.57/0.67 %------------------------------------------------------------------------------ % 0.57/0.67 fof(antisymmetry_r2_hidden,axiom, % 0.57/0.67 ! [A,B] : % 0.57/0.67 ( in(A,B) % 0.57/0.67 => ~ in(B,A) ) ). % 0.57/0.67 % 0.57/0.67 fof(commutativity_k3_xboole_0,axiom, % 0.57/0.67 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.57/0.67 % 0.57/0.67 fof(idempotence_k3_xboole_0,axiom, % 0.57/0.67 ! [A,B] : set_intersection2(A,A) = A ). % 0.57/0.67 % 0.57/0.67 fof(l28_zfmisc_1,axiom, % 0.57/0.67 ! [A,B] : % 0.57/0.67 ( ~ in(A,B) % 0.57/0.67 => disjoint(singleton(A),B) ) ). % 0.57/0.67 % 0.57/0.67 fof(l32_zfmisc_1,axiom, % 0.57/0.67 ! [A,B] : % 0.57/0.67 ( in(A,B) % 0.57/0.67 => set_intersection2(B,singleton(A)) = singleton(A) ) ). % 0.57/0.67 % 0.57/0.67 fof(rc1_xboole_0,axiom, % 0.57/0.67 ? [A] : empty(A) ). % 0.57/0.68 % 0.57/0.68 fof(rc2_xboole_0,axiom, % 0.57/0.68 ? [A] : ~ empty(A) ). % 0.57/0.68 % 0.57/0.68 fof(symmetry_r1_xboole_0,axiom, % 0.57/0.68 ! [A,B] : % 0.57/0.68 ( disjoint(A,B) % 0.57/0.68 => disjoint(B,A) ) ). % 0.57/0.68 % 0.57/0.68 fof(t58_zfmisc_1,conjecture, % 0.57/0.68 ! [A,B] : % 0.57/0.68 ( disjoint(singleton(A),B) % 0.57/0.68 | set_intersection2(singleton(A),B) = singleton(A) ) ). % 0.57/0.68 % 0.57/0.68 %------------------------------------------------------------------------------ % 0.57/0.68 %------------------------------------------- % 0.57/0.68 % Proof found % 0.57/0.68 % SZS status Theorem for theBenchmark % 0.57/0.68 % SZS output start Proof % 0.57/0.68 %ClaNum:21(EqnAxiom:11) % 0.57/0.68 %VarNum:24(SingletonVarNum:11) % 0.57/0.68 %MaxLitNum:2 % 0.57/0.68 %MaxfuncDepth:2 % 0.57/0.68 %SharedTerms:10 % 0.57/0.68 %goalClause: 16 17 % 0.57/0.68 %singleGoalClaCount:2 % 0.57/0.68 [12]P1(a1) % 0.57/0.68 [15]~P1(a3) % 0.57/0.68 [16]~P2(f6(a4),a5) % 0.57/0.68 [17]~E(f2(f6(a4),a5),f6(a4)) % 0.57/0.68 [13]E(f2(x131,x131),x131) % 0.57/0.68 [14]E(f2(x141,x142),f2(x142,x141)) % 0.57/0.68 [19]~P2(x192,x191)+P2(x191,x192) % 0.57/0.68 [20]~P3(x202,x201)+~P3(x201,x202) % 0.57/0.68 [18]P3(x181,x182)+P2(f6(x181),x182) % 0.57/0.68 [21]~P3(x212,x211)+E(f2(x211,f6(x212)),f6(x212)) % 0.57/0.68 %EqnAxiom % 0.57/0.68 [1]E(x11,x11) % 0.57/0.68 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.68 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.57/0.68 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.57/0.68 [6]~E(x61,x62)+E(f6(x61),f6(x62)) % 0.57/0.68 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.57/0.68 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83) % 0.57/0.68 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91) % 0.57/0.68 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.57/0.68 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.57/0.68 % 0.57/0.68 %------------------------------------------- % 0.57/0.68 cnf(76,plain, % 0.57/0.68 (E(f2(a5,f6(a4)),f6(a4))), % 0.57/0.68 inference(scs_inference,[],[16,21,18])). % 0.57/0.68 cnf(78,plain, % 0.57/0.68 ($false), % 0.57/0.68 inference(scs_inference,[],[17,76,14,2,3]), % 0.57/0.68 ['proof']). % 0.57/0.68 % SZS output end Proof % 0.57/0.68 % Total time :0.040000s %------------------------------------------------------------------------------