%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET923+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 : n017.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 14:23:00 EDT 2024 % Result : Theorem 0.46s 0.73s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : SET923+1 : TPTP v8.2.0. Released v3.2.0. % 0.09/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.09/0.30 % Computer : n017.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Sun Jun 23 17:55:38 EDT 2024 % 0.09/0.30 % CPUTime : % 0.45/0.52 start to proof:theBenchmark % 0.46/0.72 %------------------------------------------- % 0.46/0.72 % File :CSE---1.7 % 0.46/0.72 % Problem :theBenchmark % 0.46/0.72 % Transform :cnf % 0.46/0.72 % Format :tptp:raw % 0.46/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.72 % 0.46/0.72 % Result :Theorem 0.010000s % 0.46/0.72 % Output :CNFRefutation 0.010000s % 0.46/0.72 %------------------------------------------- % 0.46/0.72 %------------------------------------------------------------------------------ % 0.46/0.73 % File : SET923+1 : TPTP v8.2.0. Released v3.2.0. % 0.46/0.73 % Domain : Set theory % 0.46/0.73 % Problem : ~ ( difference(A,sgtn(B)) = empty & A != empty & A != sgtn(B) ) % 0.46/0.73 % Version : [Urb06] axioms : Especial. % 0.46/0.73 % English : % 0.46/0.73 % 0.46/0.73 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.46/0.73 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.46/0.73 % Source : [Urb06] % 0.46/0.73 % Names : zfmisc_1__t66_zfmisc_1 [Urb06] % 0.46/0.73 % 0.46/0.73 % Status : Theorem % 0.46/0.73 % Rating : 0.08 v8.2.0, 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.00 v6.2.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.00 v5.3.0, 0.04 v5.2.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0 % 0.46/0.73 % Syntax : Number of formulae : 7 ( 4 unt; 0 def) % 0.46/0.73 % Number of atoms : 12 ( 6 equ) % 0.46/0.73 % Maximal formula atoms : 3 ( 1 avg) % 0.46/0.73 % Number of connectives : 9 ( 4 ~; 1 |; 2 &) % 0.46/0.73 % ( 2 <=>; 0 =>; 0 <=; 0 <~>) % 0.46/0.73 % Maximal formula depth : 7 ( 4 avg) % 0.46/0.73 % Maximal term depth : 3 ( 1 avg) % 0.46/0.73 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.46/0.73 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty) % 0.46/0.73 % Number of variables : 10 ( 8 !; 2 ?) % 0.46/0.73 % SPC : FOF_THM_RFO_SEQ % 0.46/0.73 % 0.46/0.73 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.46/0.73 % library, www.mizar.org % 0.46/0.73 %------------------------------------------------------------------------------ % 0.46/0.73 fof(fc1_xboole_0,axiom, % 0.46/0.73 empty(empty_set) ). % 0.46/0.73 % 0.46/0.73 fof(l4_zfmisc_1,axiom, % 0.46/0.73 ! [A,B] : % 0.46/0.73 ( subset(A,singleton(B)) % 0.46/0.73 <=> ( A = empty_set % 0.46/0.73 | A = singleton(B) ) ) ). % 0.46/0.73 % 0.46/0.73 fof(rc1_xboole_0,axiom, % 0.46/0.73 ? [A] : empty(A) ). % 0.46/0.73 % 0.46/0.73 fof(rc2_xboole_0,axiom, % 0.46/0.73 ? [A] : ~ empty(A) ). % 0.46/0.73 % 0.46/0.73 fof(reflexivity_r1_tarski,axiom, % 0.46/0.73 ! [A,B] : subset(A,A) ). % 0.46/0.73 % 0.46/0.73 fof(t37_xboole_1,axiom, % 0.46/0.73 ! [A,B] : % 0.46/0.73 ( set_difference(A,B) = empty_set % 0.46/0.73 <=> subset(A,B) ) ). % 0.46/0.73 % 0.46/0.73 fof(t66_zfmisc_1,conjecture, % 0.46/0.73 ! [A,B] : % 0.46/0.73 ~ ( set_difference(A,singleton(B)) = empty_set % 0.46/0.73 & A != empty_set % 0.46/0.73 & A != singleton(B) ) ). % 0.46/0.73 % 0.46/0.73 %------------------------------------------------------------------------------ % 0.46/0.73 %------------------------------------------- % 0.46/0.73 % Proof found % 0.46/0.73 % SZS status Theorem for theBenchmark % 0.46/0.73 % SZS output start Proof % 0.46/0.73 %ClaNum:21(EqnAxiom:9) % 0.46/0.73 %VarNum:22(SingletonVarNum:11) % 0.46/0.73 %MaxLitNum:3 % 0.46/0.73 %MaxfuncDepth:2 % 0.46/0.73 %SharedTerms:13 % 0.46/0.73 %goalClause: 13 14 15 % 0.46/0.73 %singleGoalClaCount:3 % 0.46/0.73 [10]P1(a1) % 0.46/0.73 [11]P1(a2) % 0.46/0.73 [14]~E(a1,a3) % 0.46/0.73 [16]~P1(a4) % 0.46/0.73 [15]~E(f6(a5),a3) % 0.46/0.73 [13]E(f7(a3,f6(a5)),a1) % 0.46/0.73 [12]P2(x121,x121) % 0.46/0.73 [17]~E(x171,a1)+P2(x171,f6(x172)) % 0.46/0.73 [18]P2(x181,f6(x182))+~E(x181,f6(x182)) % 0.46/0.73 [19]~P2(x191,x192)+E(f7(x191,x192),a1) % 0.46/0.73 [20]P2(x201,x202)+~E(f7(x201,x202),a1) % 0.46/0.73 [21]E(x211,a1)+E(x211,f6(x212))+~P2(x211,f6(x212)) % 0.46/0.73 %EqnAxiom % 0.46/0.73 [1]E(x11,x11) % 0.46/0.73 [2]E(x22,x21)+~E(x21,x22) % 0.46/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.46/0.73 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.46/0.73 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53)) % 0.46/0.73 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62)) % 0.46/0.73 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.46/0.73 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.46/0.73 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.46/0.73 % 0.46/0.73 %------------------------------------------- % 0.46/0.73 cnf(26,plain, % 0.46/0.73 (P2(a3,f6(a5))), % 0.46/0.73 inference(scs_inference,[],[13,17,20])). % 0.46/0.73 cnf(28,plain, % 0.46/0.73 (E(a1,f7(a3,f6(a5)))), % 0.46/0.73 inference(scs_inference,[],[13,17,20,2])). % 0.46/0.73 cnf(51,plain, % 0.46/0.73 (~E(a3,f7(a3,f6(a5)))), % 0.46/0.73 inference(scs_inference,[],[14,28,3,2])). % 0.46/0.73 cnf(55,plain, % 0.46/0.73 ($false), % 0.46/0.73 inference(scs_inference,[],[15,26,28,51,3,21,2]), % 0.46/0.73 ['proof']). % 0.46/0.73 % SZS output end Proof % 0.46/0.73 % Total time :0.010000s %------------------------------------------------------------------------------