%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU160+1 : TPTP v8.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n025.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 15:01:25 EDT 2024 % Result : Theorem 0.53s 0.61s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU160+1 : TPTP v8.2.0. Released v3.3.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n025.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 16:21:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.55 start to proof:theBenchmark % 0.53/0.60 %------------------------------------------- % 0.53/0.60 % File :CSE---1.7 % 0.53/0.60 % Problem :theBenchmark % 0.53/0.60 % Transform :cnf % 0.53/0.60 % Format :tptp:raw % 0.53/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.60 % 0.53/0.60 % Result :Theorem 0.010000s % 0.53/0.60 % Output :CNFRefutation 0.010000s % 0.53/0.60 %------------------------------------------- % 0.53/0.60 %------------------------------------------------------------------------------ % 0.53/0.60 % File : SEU160+1 : TPTP v8.2.0. Released v3.3.0. % 0.53/0.60 % Domain : Set theory % 0.53/0.60 % Problem : MPTP bushy problem t39_zfmisc_1 % 0.53/0.60 % Version : [Urb07] axioms : Especial. % 0.53/0.60 % English : % 0.53/0.60 % 0.53/0.60 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.53/0.60 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.53/0.60 % Source : [Urb07] % 0.53/0.60 % Names : bushy-t39_zfmisc_1 [Urb07] % 0.53/0.60 % 0.53/0.60 % Status : Theorem % 0.53/0.60 % 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, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.14 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0 % 0.53/0.60 % Syntax : Number of formulae : 8 ( 6 unt; 0 def) % 0.53/0.60 % Number of atoms : 12 ( 4 equ) % 0.53/0.60 % Maximal formula atoms : 3 ( 1 avg) % 0.53/0.60 % Number of connectives : 5 ( 1 ~; 2 |; 0 &) % 0.53/0.60 % ( 2 <=>; 0 =>; 0 <=; 0 <~>) % 0.53/0.60 % Maximal formula depth : 5 ( 3 avg) % 0.53/0.60 % Maximal term depth : 2 ( 1 avg) % 0.53/0.60 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty) % 0.53/0.60 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty) % 0.53/0.60 % Number of variables : 8 ( 6 !; 2 ?) % 0.53/0.60 % SPC : FOF_THM_RFO_SEQ % 0.53/0.60 % 0.53/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.53/0.60 % library, www.mizar.org % 0.53/0.61 %------------------------------------------------------------------------------ % 0.53/0.61 fof(rc1_xboole_0,axiom, % 0.53/0.61 ? [A] : empty(A) ). % 0.53/0.61 % 0.53/0.61 fof(rc2_xboole_0,axiom, % 0.53/0.61 ? [A] : ~ empty(A) ). % 0.53/0.61 % 0.53/0.61 fof(reflexivity_r1_tarski,axiom, % 0.53/0.61 ! [A,B] : subset(A,A) ). % 0.53/0.61 % 0.53/0.61 fof(dt_k1_tarski,axiom, % 0.53/0.61 $true ). % 0.53/0.61 % 0.53/0.61 fof(dt_k1_xboole_0,axiom, % 0.53/0.61 $true ). % 0.53/0.61 % 0.53/0.61 fof(fc1_xboole_0,axiom, % 0.53/0.61 empty(empty_set) ). % 0.53/0.61 % 0.53/0.61 fof(t39_zfmisc_1,conjecture, % 0.53/0.61 ! [A,B] : % 0.53/0.61 ( subset(A,singleton(B)) % 0.53/0.61 <=> ( A = empty_set % 0.53/0.61 | A = singleton(B) ) ) ). % 0.53/0.61 % 0.53/0.61 fof(l4_zfmisc_1,axiom, % 0.53/0.61 ! [A,B] : % 0.53/0.61 ( subset(A,singleton(B)) % 0.53/0.61 <=> ( A = empty_set % 0.53/0.61 | A = singleton(B) ) ) ). % 0.53/0.61 % 0.53/0.61 %------------------------------------------------------------------------------ % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % Proof found % 0.53/0.61 % SZS status Theorem for theBenchmark % 0.53/0.61 % SZS output start Proof % 0.53/0.61 %ClaNum:17(EqnAxiom:7) % 0.53/0.61 %VarNum:14(SingletonVarNum:7) % 0.53/0.61 %MaxLitNum:3 % 0.53/0.61 %MaxfuncDepth:1 % 0.53/0.61 %SharedTerms:15 % 0.53/0.61 %goalClause: 12 14 16 % 0.53/0.61 [8]P1(a1) % 0.53/0.61 [9]P1(a2) % 0.53/0.61 [11]~P1(a3) % 0.53/0.61 [10]P2(x101,x101) % 0.53/0.61 [14]~E(a1,a4)+~P2(a4,f6(a5)) % 0.53/0.61 [16]~P2(a4,f6(a5))+~E(f6(a5),a4) % 0.53/0.61 [13]~E(x131,a1)+P2(x131,f6(x132)) % 0.53/0.61 [15]P2(x151,f6(x152))+~E(x151,f6(x152)) % 0.53/0.61 [12]E(a1,a4)+E(f6(a5),a4)+P2(a4,f6(a5)) % 0.53/0.61 [17]E(x171,a1)+E(x171,f6(x172))+~P2(x171,f6(x172)) % 0.53/0.61 %EqnAxiom % 0.53/0.61 [1]E(x11,x11) % 0.53/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.61 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.53/0.61 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.53/0.61 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63) % 0.53/0.61 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71) % 0.53/0.61 % 0.53/0.61 %------------------------------------------- % 0.56/0.61 cnf(18,plain, % 0.56/0.61 (P2(a1,f6(x181))), % 0.56/0.61 inference(equality_inference,[],[13])). % 0.56/0.61 cnf(22,plain, % 0.56/0.61 (~E(f6(a5),a4)), % 0.56/0.61 inference(scs_inference,[],[10,6,14,16])). % 0.56/0.61 cnf(26,plain, % 0.56/0.61 (E(a1,a4)+P2(a4,f6(a5))), % 0.56/0.61 inference(scs_inference,[],[22,12])). % 0.56/0.61 cnf(28,plain, % 0.56/0.61 (~E(a1,a4)), % 0.56/0.61 inference(scs_inference,[],[18,6,14])). % 0.56/0.61 cnf(35,plain, % 0.56/0.61 (P2(a4,f6(a5))), % 0.56/0.61 inference(scs_inference,[],[28,26])). % 0.56/0.61 cnf(43,plain, % 0.56/0.61 (E(a4,f6(a5))), % 0.56/0.61 inference(scs_inference,[],[28,35,2,17])). % 0.56/0.61 cnf(44,plain, % 0.56/0.61 ($false), % 0.56/0.61 inference(scs_inference,[],[22,43,2]), % 0.56/0.61 ['proof']). % 0.56/0.61 % SZS output end Proof % 0.56/0.61 % Total time :0.010000s %------------------------------------------------------------------------------