%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU155+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 : n020.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 15:01:23 EDT 2024 % Result : Theorem 0.58s 0.64s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU155+1 : TPTP v8.2.0. Released v3.3.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n020.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 21 17:49:24 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.58/0.64 %------------------------------------------- % 0.58/0.64 % File :CSE---1.7 % 0.58/0.64 % Problem :theBenchmark % 0.58/0.64 % Transform :cnf % 0.58/0.64 % Format :tptp:raw % 0.58/0.64 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.64 % 0.58/0.64 % Result :Theorem 0.040000s % 0.58/0.64 % Output :CNFRefutation 0.040000s % 0.58/0.64 %------------------------------------------- % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 % File : SEU155+1 : TPTP v8.2.0. Released v3.3.0. % 0.58/0.64 % Domain : Set theory % 0.58/0.64 % Problem : MPTP bushy problem l50_zfmisc_1 % 0.58/0.64 % Version : [Urb07] axioms : Especial. % 0.58/0.64 % English : % 0.58/0.64 % 0.58/0.64 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.58/0.64 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.58/0.64 % Source : [Urb07] % 0.58/0.64 % Names : bushy-l50_zfmisc_1 [Urb07] % 0.58/0.64 % 0.58/0.64 % Status : Theorem % 0.58/0.64 % Rating : 0.14 v8.1.0, 0.03 v7.2.0, 0.00 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0 % 0.58/0.64 % Syntax : Number of formulae : 6 ( 2 unt; 0 def) % 0.58/0.64 % Number of atoms : 13 ( 1 equ) % 0.58/0.64 % Maximal formula atoms : 4 ( 2 avg) % 0.58/0.64 % Number of connectives : 8 ( 1 ~; 0 |; 1 &) % 0.58/0.64 % ( 3 <=>; 3 =>; 0 <=; 0 <~>) % 0.58/0.64 % Maximal formula depth : 8 ( 5 avg) % 0.58/0.64 % Maximal term depth : 2 ( 1 avg) % 0.58/0.64 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty) % 0.58/0.64 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.58/0.64 % Number of variables : 13 ( 12 !; 1 ?) % 0.58/0.64 % SPC : FOF_THM_RFO_SEQ % 0.58/0.64 % 0.58/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.58/0.64 % library, www.mizar.org % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 fof(antisymmetry_r2_hidden,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( in(A,B) % 0.58/0.64 => ~ in(B,A) ) ). % 0.58/0.64 % 0.58/0.64 fof(d3_tarski,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( subset(A,B) % 0.58/0.64 <=> ! [C] : % 0.58/0.64 ( in(C,A) % 0.58/0.64 => in(C,B) ) ) ). % 0.58/0.64 % 0.58/0.64 fof(d4_tarski,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( B = union(A) % 0.58/0.64 <=> ! [C] : % 0.58/0.64 ( in(C,B) % 0.58/0.64 <=> ? [D] : % 0.58/0.64 ( in(C,D) % 0.58/0.64 & in(D,A) ) ) ) ). % 0.58/0.64 % 0.58/0.64 fof(dt_k3_tarski,axiom, % 0.58/0.64 $true ). % 0.58/0.64 % 0.58/0.64 fof(l50_zfmisc_1,conjecture, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( in(A,B) % 0.58/0.64 => subset(A,union(B)) ) ). % 0.58/0.64 % 0.58/0.64 fof(reflexivity_r1_tarski,axiom, % 0.58/0.64 ! [A,B] : subset(A,A) ). % 0.58/0.64 % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 %------------------------------------------- % 0.58/0.64 % Proof found % 0.58/0.64 % SZS status Theorem for theBenchmark % 0.58/0.64 % SZS output start Proof % 0.58/0.64 %ClaNum:30(EqnAxiom:17) % 0.58/0.64 %VarNum:73(SingletonVarNum:27) % 0.58/0.64 %MaxLitNum:4 % 0.58/0.64 %MaxfuncDepth:1 % 0.58/0.64 %SharedTerms:5 % 0.58/0.64 %goalClause: 18 20 % 0.58/0.64 %singleGoalClaCount:2 % 0.58/0.64 [18]P1(a1,a6) % 0.58/0.64 [20]~P2(a1,f7(a6)) % 0.58/0.64 [19]P2(x191,x191) % 0.58/0.64 [21]~P1(x212,x211)+~P1(x211,x212) % 0.58/0.64 [22]P2(x221,x222)+P1(f2(x221,x222),x221) % 0.58/0.64 [25]P2(x251,x252)+~P1(f2(x251,x252),x252) % 0.58/0.64 [26]P1(f3(x262,x261),x261)+P1(f5(x262,x261),x262)+E(x261,f7(x262)) % 0.58/0.64 [27]P1(f3(x272,x271),x271)+P1(f3(x272,x271),f5(x272,x271))+E(x271,f7(x272)) % 0.58/0.64 [23]~P2(x233,x232)+P1(x231,x232)+~P1(x231,x233) % 0.58/0.64 [28]~P1(x281,x283)+~E(x283,f7(x282))+P1(x281,f4(x282,x283,x281)) % 0.58/0.64 [29]~P1(x293,x292)+~E(x292,f7(x291))+P1(f4(x291,x292,x293),x291) % 0.58/0.65 [30]~P1(x303,x302)+~P1(f3(x302,x301),x303)+~P1(f3(x302,x301),x301)+E(x301,f7(x302)) % 0.58/0.65 [24]~P1(x241,x244)+P1(x241,x242)+~P1(x244,x243)+~E(x242,f7(x243)) % 0.58/0.65 %EqnAxiom % 0.58/0.65 [1]E(x11,x11) % 0.58/0.65 [2]E(x22,x21)+~E(x21,x22) % 0.58/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.58/0.65 [4]~E(x41,x42)+E(f7(x41),f7(x42)) % 0.58/0.65 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53)) % 0.58/0.65 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62)) % 0.58/0.65 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73)) % 0.58/0.65 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82)) % 0.58/0.65 [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94)) % 0.58/0.65 [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104)) % 0.58/0.65 [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112)) % 0.58/0.65 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123)) % 0.58/0.65 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132)) % 0.58/0.65 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143) % 0.58/0.65 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151) % 0.58/0.65 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163) % 0.58/0.65 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171) % 0.58/0.65 % 0.58/0.65 %------------------------------------------- % 0.58/0.65 cnf(31,plain, % 0.58/0.65 (~P1(x311,x312)+P1(x311,f7(x313))+~P1(x312,x313)), % 0.58/0.65 inference(equality_inference,[],[24])). % 0.58/0.65 cnf(37,plain, % 0.58/0.65 (P2(x371,x371)), % 0.58/0.65 inference(rename_variables,[],[19])). % 0.58/0.65 cnf(40,plain, % 0.58/0.65 (~P1(x401,a1)+P1(x401,f7(a6))), % 0.58/0.65 inference(scs_inference,[],[18,20,19,37,21,16,17,31])). % 0.58/0.65 cnf(106,plain, % 0.58/0.65 (~E(x1061,a1)+P1(f2(x1061,f7(a6)),x1061)), % 0.58/0.65 inference(scs_inference,[],[20,22,16])). % 0.58/0.65 cnf(107,plain, % 0.58/0.65 (P1(f2(a1,f7(a6)),a1)), % 0.58/0.65 inference(equality_inference,[],[106])). % 0.58/0.65 cnf(110,plain, % 0.58/0.65 ($false), % 0.58/0.65 inference(scs_inference,[],[20,107,40,25]), % 0.58/0.65 ['proof']). % 0.58/0.65 % SZS output end Proof % 0.58/0.65 % Total time :0.040000s %------------------------------------------------------------------------------