%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET900+1 : 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 : n024.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 14:22:55 EDT 2024 % Result : Theorem 0.52s 0.60s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET900+1 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n024.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 12:38:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.49/0.55 start to proof:theBenchmark % 0.52/0.59 %------------------------------------------- % 0.52/0.59 % File :CSE---1.7 % 0.52/0.59 % Problem :theBenchmark % 0.52/0.59 % Transform :cnf % 0.52/0.59 % Format :tptp:raw % 0.52/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.59 % 0.52/0.59 % Result :Theorem 0.010000s % 0.52/0.59 % Output :CNFRefutation 0.010000s % 0.52/0.59 %------------------------------------------- % 0.52/0.60 %------------------------------------------------------------------------------ % 0.52/0.60 % File : SET900+1 : TPTP v8.2.0. Released v3.2.0. % 0.52/0.60 % Domain : Set theory % 0.52/0.60 % Problem : ~ ( A != singleton(B) & A != empty_set & ~ ( in(C,A) & C != B ) ) % 0.52/0.60 % Version : [Urb06] axioms : Especial. % 0.52/0.60 % English : % 0.52/0.60 % 0.52/0.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.52/0.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.52/0.60 % Source : [Urb06] % 0.52/0.60 % Names : zfmisc_1__t41_zfmisc_1 [Urb06] % 0.52/0.60 % 0.52/0.60 % Status : Theorem % 0.52/0.60 % Rating : 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, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.52/0.60 % Syntax : Number of formulae : 6 ( 3 unt; 0 def) % 0.52/0.60 % Number of atoms : 13 ( 6 equ) % 0.52/0.60 % Maximal formula atoms : 4 ( 2 avg) % 0.52/0.60 % Number of connectives : 19 ( 12 ~; 0 |; 6 &) % 0.52/0.60 % ( 0 <=>; 1 =>; 0 <=; 0 <~>) % 0.52/0.60 % Maximal formula depth : 10 ( 5 avg) % 0.52/0.60 % Maximal term depth : 2 ( 1 avg) % 0.52/0.60 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.52/0.60 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty) % 0.52/0.60 % Number of variables : 10 ( 8 !; 2 ?) % 0.52/0.60 % SPC : FOF_THM_RFO_SEQ % 0.52/0.60 % 0.52/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.52/0.60 % library, www.mizar.org % 0.52/0.60 %------------------------------------------------------------------------------ % 0.52/0.60 fof(antisymmetry_r2_hidden,axiom, % 0.52/0.60 ! [A,B] : % 0.52/0.60 ( in(A,B) % 0.52/0.60 => ~ in(B,A) ) ). % 0.52/0.60 % 0.52/0.60 fof(fc1_xboole_0,axiom, % 0.52/0.60 empty(empty_set) ). % 0.52/0.60 % 0.52/0.60 fof(rc1_xboole_0,axiom, % 0.52/0.60 ? [A] : empty(A) ). % 0.52/0.60 % 0.52/0.60 fof(rc2_xboole_0,axiom, % 0.52/0.60 ? [A] : ~ empty(A) ). % 0.52/0.60 % 0.52/0.60 fof(t41_zfmisc_1,conjecture, % 0.52/0.60 ! [A,B] : % 0.52/0.60 ~ ( A != singleton(B) % 0.52/0.60 & A != empty_set % 0.52/0.60 & ! [C] : % 0.52/0.60 ~ ( in(C,A) % 0.52/0.60 & C != B ) ) ). % 0.52/0.60 % 0.52/0.60 fof(l45_zfmisc_1,axiom, % 0.52/0.60 ! [A,B] : % 0.52/0.60 ~ ( A != singleton(B) % 0.52/0.60 & A != empty_set % 0.52/0.60 & ! [C] : % 0.52/0.60 ~ ( in(C,A) % 0.52/0.60 & C != B ) ) ). % 0.52/0.60 % 0.52/0.60 %------------------------------------------------------------------------------ % 0.52/0.60 %------------------------------------------- % 0.52/0.60 % Proof found % 0.52/0.60 % SZS status Theorem for theBenchmark % 0.52/0.60 % SZS output start Proof % 0.52/0.60 %ClaNum:18(EqnAxiom:9) % 0.52/0.60 %VarNum:18(SingletonVarNum:7) % 0.52/0.60 %MaxLitNum:3 % 0.52/0.60 %MaxfuncDepth:1 % 0.52/0.60 %SharedTerms:11 % 0.52/0.60 %goalClause: 12 13 15 % 0.52/0.60 %singleGoalClaCount:2 % 0.52/0.60 [10]P1(a1) % 0.52/0.60 [11]P1(a2) % 0.52/0.60 [12]~E(a3,a1) % 0.52/0.60 [14]~P1(a4) % 0.52/0.60 [13]~E(f6(a5),a3) % 0.52/0.60 [15]~P2(x151,a3)+E(x151,a5) % 0.52/0.60 [17]~P2(x172,x171)+~P2(x171,x172) % 0.52/0.60 [16]~E(f7(x161,x162),x162)+E(x161,a1)+E(x161,f6(x162)) % 0.52/0.60 [18]P2(f7(x181,x182),x181)+E(x181,a1)+E(x181,f6(x182)) % 0.52/0.60 %EqnAxiom % 0.52/0.60 [1]E(x11,x11) % 0.52/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.60 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 0.52/0.60 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53)) % 0.52/0.60 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62)) % 0.52/0.60 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.52/0.60 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.52/0.60 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.52/0.60 % 0.52/0.60 %------------------------------------------- % 0.52/0.60 cnf(22,plain, % 0.52/0.60 (E(a3,f6(x221))+P2(f7(a3,x221),a3)), % 0.52/0.60 inference(scs_inference,[],[12,18])). % 0.52/0.60 cnf(26,plain, % 0.52/0.60 (E(a5,x261)+~P2(x261,a3)), % 0.52/0.60 inference(scs_inference,[],[15,2])). % 0.52/0.60 cnf(28,plain, % 0.52/0.60 (E(a5,f7(a3,x281))+E(a3,f6(x281))), % 0.52/0.60 inference(scs_inference,[],[26,22])). % 0.52/0.60 cnf(33,plain, % 0.52/0.60 (E(a5,f7(a3,a5))), % 0.52/0.60 inference(scs_inference,[],[13,28,2])). % 0.52/0.60 cnf(35,plain, % 0.52/0.60 (E(a3,f6(a5))), % 0.52/0.60 inference(scs_inference,[],[12,33,2,16])). % 0.52/0.60 cnf(42,plain, % 0.52/0.60 ($false), % 0.52/0.60 inference(scs_inference,[],[13,35,2]), % 0.52/0.60 ['proof']). % 0.52/0.60 % SZS output end Proof % 0.52/0.60 % Total time :0.010000s %------------------------------------------------------------------------------