%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU160+3 : 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 : 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 15:01:26 EDT 2024 % Result : Theorem 0.53s 0.82s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU160+3 : 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 % 0.12/0.33 % Computer : n017.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 : Fri Jun 21 12:58:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.57 start to proof:theBenchmark % 0.53/0.82 %------------------------------------------- % 0.53/0.82 % File :CSE---1.7 % 0.53/0.82 % Problem :theBenchmark % 0.53/0.82 % Transform :cnf % 0.53/0.82 % Format :tptp:raw % 0.53/0.82 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.82 % 0.53/0.82 % Result :Theorem 0.220000s % 0.53/0.82 % Output :CNFRefutation 0.220000s % 0.53/0.82 %------------------------------------------- % 0.53/0.82 %------------------------------------------------------------------------------ % 0.53/0.82 % File : SEU160+3 : TPTP v8.2.0. Released v3.2.0. % 0.53/0.82 % Domain : Set theory % 0.53/0.82 % Problem : Basic properties of sets, theorem 39 % 0.53/0.82 % Version : [Urb06] axioms : Especial. % 0.53/0.82 % English : % 0.53/0.82 % 0.53/0.82 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.53/0.82 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.53/0.82 % Source : [Urb06] % 0.53/0.82 % Names : zfmisc_1__t39_zfmisc_1 [Urb06] % 0.53/0.82 % 0.53/0.82 % Status : Theorem % 0.53/0.82 % Rating : 0.06 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, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0 % 0.53/0.82 % Syntax : Number of formulae : 6 ( 4 unt; 0 def) % 0.53/0.82 % Number of atoms : 10 ( 4 equ) % 0.53/0.82 % Maximal formula atoms : 3 ( 1 avg) % 0.53/0.82 % Number of connectives : 5 ( 1 ~; 2 |; 0 &) % 0.53/0.82 % ( 2 <=>; 0 =>; 0 <=; 0 <~>) % 0.53/0.82 % Maximal formula depth : 5 ( 3 avg) % 0.53/0.82 % Maximal term depth : 2 ( 1 avg) % 0.53/0.82 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.53/0.82 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty) % 0.53/0.82 % Number of variables : 8 ( 6 !; 2 ?) % 0.53/0.82 % SPC : FOF_THM_RFO_SEQ % 0.53/0.82 % 0.53/0.82 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.53/0.82 % library, www.mizar.org % 0.53/0.82 %------------------------------------------------------------------------------ % 0.53/0.82 fof(reflexivity_r1_tarski,axiom, % 0.53/0.82 ! [A,B] : subset(A,A) ). % 0.53/0.82 % 0.53/0.82 fof(fc1_xboole_0,axiom, % 0.53/0.82 empty(empty_set) ). % 0.53/0.82 % 0.53/0.82 fof(rc1_xboole_0,axiom, % 0.53/0.82 ? [A] : empty(A) ). % 0.53/0.82 % 0.53/0.82 fof(rc2_xboole_0,axiom, % 0.53/0.82 ? [A] : ~ empty(A) ). % 0.53/0.82 % 0.53/0.82 fof(t39_zfmisc_1,conjecture, % 0.53/0.82 ! [A,B] : % 0.53/0.82 ( subset(A,singleton(B)) % 0.53/0.82 <=> ( A = empty_set % 0.53/0.82 | A = singleton(B) ) ) ). % 0.53/0.82 % 0.53/0.82 fof(l4_zfmisc_1,axiom, % 0.53/0.82 ! [A,B] : % 0.53/0.82 ( subset(A,singleton(B)) % 0.53/0.82 <=> ( A = empty_set % 0.53/0.82 | A = singleton(B) ) ) ). % 0.53/0.82 % 0.53/0.82 %------------------------------------------------------------------------------ % 0.53/0.82 %------------------------------------------- % 0.53/0.82 % Proof found % 0.53/0.82 % SZS status Theorem for theBenchmark % 0.53/0.82 % SZS output start Proof % 0.53/0.82 %ClaNum:17(EqnAxiom:7) % 0.53/0.82 %VarNum:14(SingletonVarNum:7) % 0.53/0.82 %MaxLitNum:3 % 0.53/0.82 %MaxfuncDepth:1 % 0.53/0.82 %SharedTerms:15 % 0.53/0.82 %goalClause: 12 14 16 % 0.53/0.83 [8]P1(a1) % 0.53/0.83 [9]P1(a2) % 0.53/0.83 [11]~P1(a3) % 0.53/0.83 [10]P2(x101,x101) % 0.53/0.83 [14]~E(a1,a4)+~P2(a4,f6(a5)) % 0.53/0.83 [16]~P2(a4,f6(a5))+~E(f6(a5),a4) % 0.53/0.83 [13]~E(x131,a1)+P2(x131,f6(x132)) % 0.53/0.83 [15]P2(x151,f6(x152))+~E(x151,f6(x152)) % 0.53/0.83 [12]E(a1,a4)+E(f6(a5),a4)+P2(a4,f6(a5)) % 0.53/0.83 [17]E(x171,a1)+E(x171,f6(x172))+~P2(x171,f6(x172)) % 0.53/0.83 %EqnAxiom % 0.53/0.83 [1]E(x11,x11) % 0.53/0.83 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.83 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.53/0.83 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.53/0.83 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63) % 0.53/0.83 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71) % 0.53/0.83 % 0.53/0.83 %------------------------------------------- % 0.53/0.83 cnf(18,plain, % 0.53/0.83 (P2(a1,f6(x181))), % 0.53/0.83 inference(equality_inference,[],[13])). % 0.53/0.83 cnf(22,plain, % 0.53/0.83 (~E(f6(a5),a4)), % 0.53/0.83 inference(scs_inference,[],[10,6,14,16])). % 0.53/0.83 cnf(26,plain, % 0.53/0.83 (E(a1,a4)+P2(a4,f6(a5))), % 0.53/0.83 inference(scs_inference,[],[22,12])). % 0.53/0.83 cnf(124,plain, % 0.53/0.83 (E(a4,a1)+~P2(a4,f6(a5))), % 0.53/0.83 inference(scs_inference,[],[22,2,17])). % 0.53/0.83 cnf(129,plain, % 0.53/0.83 (E(a1,a4)+~P2(a4,f6(a5))), % 0.53/0.83 inference(scs_inference,[],[2,124])). % 0.53/0.83 cnf(130,plain, % 0.53/0.83 (~P2(a4,f6(a5))), % 0.53/0.83 inference(scs_inference,[],[129,14])). % 0.53/0.83 cnf(131,plain, % 0.53/0.83 (E(a1,a4)), % 0.53/0.83 inference(scs_inference,[],[130,26])). % 0.53/0.83 cnf(155,plain, % 0.53/0.83 (~E(a1,a4)), % 0.53/0.83 inference(scs_inference,[],[130,18,10,7,6])). % 0.53/0.83 cnf(159,plain, % 0.53/0.83 ($false), % 0.53/0.83 inference(scs_inference,[],[155,131]), % 0.53/0.83 ['proof']). % 0.53/0.83 % SZS output end Proof % 0.53/0.83 % Total time :0.220000s %------------------------------------------------------------------------------