%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET978+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 : n023.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 14:23:08 EDT 2024 % Result : Theorem 0.51s 0.60s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET978+1 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 11:10:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.57 start to proof:theBenchmark % 0.51/0.60 %------------------------------------------- % 0.51/0.60 % File :CSE---1.7 % 0.51/0.60 % Problem :theBenchmark % 0.51/0.60 % Transform :cnf % 0.51/0.60 % Format :tptp:raw % 0.51/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.51/0.60 % 0.51/0.60 % Result :Theorem 0.000000s % 0.51/0.60 % Output :CNFRefutation 0.000000s % 0.51/0.60 %------------------------------------------- % 0.51/0.60 %------------------------------------------------------------------------------ % 0.51/0.60 % File : SET978+1 : TPTP v8.2.0. Released v3.2.0. % 0.51/0.60 % Domain : Set theory % 0.51/0.60 % Problem : Basic properties of sets, theorem 131 % 0.51/0.60 % Version : [Urb06] axioms : Especial. % 0.51/0.60 % English : % 0.51/0.60 % 0.51/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.51/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.51/0.60 % Source : [Urb06] % 0.51/0.60 % Names : zfmisc_1__t131_zfmisc_1 [Urb06] % 0.51/0.60 % 0.51/0.60 % Status : Theorem % 0.51/0.60 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.00 v3.2.0 % 0.51/0.60 % Syntax : Number of formulae : 6 ( 2 unt; 0 def) % 0.51/0.60 % Number of atoms : 12 ( 2 equ) % 0.51/0.60 % Maximal formula atoms : 3 ( 2 avg) % 0.51/0.60 % Number of connectives : 9 ( 3 ~; 1 |; 1 &) % 0.51/0.60 % ( 0 <=>; 4 =>; 0 <=; 0 <~>) % 0.51/0.60 % Maximal formula depth : 7 ( 5 avg) % 0.51/0.60 % Maximal term depth : 3 ( 1 avg) % 0.51/0.60 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.51/0.60 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.51/0.60 % Number of variables : 14 ( 12 !; 2 ?) % 0.51/0.60 % SPC : FOF_THM_RFO_SEQ % 0.51/0.60 % 0.51/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.51/0.60 % library, www.mizar.org % 0.51/0.60 %------------------------------------------------------------------------------ % 0.51/0.60 fof(rc1_xboole_0,axiom, % 0.51/0.60 ? [A] : empty(A) ). % 0.51/0.60 % 0.51/0.60 fof(rc2_xboole_0,axiom, % 0.51/0.60 ? [A] : ~ empty(A) ). % 0.51/0.60 % 0.51/0.60 fof(symmetry_r1_xboole_0,axiom, % 0.51/0.60 ! [A,B] : % 0.51/0.60 ( disjoint(A,B) % 0.51/0.60 => disjoint(B,A) ) ). % 0.51/0.60 % 0.51/0.60 fof(t127_zfmisc_1,axiom, % 0.51/0.60 ! [A,B,C,D] : % 0.51/0.60 ( ( disjoint(A,B) % 0.51/0.60 | disjoint(C,D) ) % 0.51/0.60 => disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ) ). % 0.51/0.60 % 0.51/0.60 fof(t131_zfmisc_1,conjecture, % 0.51/0.60 ! [A,B,C,D] : % 0.51/0.60 ( A != B % 0.51/0.60 => ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D)) % 0.51/0.60 & disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ) ). % 0.51/0.60 % 0.51/0.60 fof(t17_zfmisc_1,axiom, % 0.51/0.60 ! [A,B] : % 0.51/0.60 ( A != B % 0.51/0.60 => disjoint(singleton(A),singleton(B)) ) ). % 0.51/0.60 % 0.51/0.60 %------------------------------------------------------------------------------ % 0.51/0.60 %------------------------------------------- % 0.51/0.60 % Proof found % 0.51/0.60 % SZS status Theorem for theBenchmark % 0.51/0.60 % SZS output start Proof % 0.51/0.60 %ClaNum:17(EqnAxiom:9) % 0.51/0.60 %VarNum:20(SingletonVarNum:12) % 0.51/0.60 %MaxLitNum:2 % 0.51/0.60 %MaxfuncDepth:2 % 0.51/0.60 %SharedTerms:19 % 0.51/0.60 %goalClause: 11 17 % 0.51/0.60 %singleGoalClaCount:1 % 0.51/0.60 [10]P1(a1) % 0.51/0.60 [11]~E(a3,a5) % 0.51/0.60 [12]~P1(a4) % 0.51/0.60 [17]~P2(f2(a7,f6(a3)),f2(a10,f6(a5)))+~P2(f2(f6(a3),a8),f2(f6(a5),a9)) % 0.51/0.60 [14]~P2(x142,x141)+P2(x141,x142) % 0.51/0.60 [13]E(x131,x132)+P2(f6(x131),f6(x132)) % 0.51/0.60 [15]~P2(x152,x154)+P2(f2(x151,x152),f2(x153,x154)) % 0.51/0.60 [16]~P2(x161,x163)+P2(f2(x161,x162),f2(x163,x164)) % 0.51/0.60 %EqnAxiom % 0.51/0.60 [1]E(x11,x11) % 0.51/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.51/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.51/0.60 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.51/0.60 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53)) % 0.51/0.60 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62)) % 0.51/0.60 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.51/0.60 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.51/0.60 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.51/0.60 % 0.51/0.60 %------------------------------------------- % 0.51/0.60 cnf(18,plain, % 0.51/0.60 (P2(f6(a5),f6(a3))), % 0.51/0.60 inference(scs_inference,[],[11,2,13])). % 0.51/0.60 cnf(23,plain, % 0.51/0.60 (P2(f2(x231,f6(a3)),f2(x232,f6(a5)))), % 0.51/0.60 inference(scs_inference,[],[18,14,15])). % 0.51/0.60 cnf(24,plain, % 0.51/0.60 (~P2(f2(f6(a3),a8),f2(f6(a5),a9))), % 0.51/0.60 inference(scs_inference,[],[23,17])). % 0.51/0.60 cnf(37,plain, % 0.51/0.61 ($false), % 0.51/0.61 inference(scs_inference,[],[24,11,14,15,16,13]), % 0.51/0.61 ['proof']). % 0.51/0.61 % SZS output end Proof % 0.51/0.61 % Total time :0.000000s %------------------------------------------------------------------------------