%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU151+3 : 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 : 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 15:01:22 EDT 2024 % Result : Theorem 0.56s 0.66s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SEU151+3 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n025.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Jun 21 15:28:24 EDT 2024 % 0.13/0.35 % CPUTime : % 0.50/0.59 start to proof:theBenchmark % 0.56/0.65 %------------------------------------------- % 0.56/0.65 % File :CSE---1.7 % 0.56/0.65 % Problem :theBenchmark % 0.56/0.65 % Transform :cnf % 0.56/0.65 % Format :tptp:raw % 0.56/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.65 % 0.56/0.65 % Result :Theorem 0.030000s % 0.56/0.65 % Output :CNFRefutation 0.030000s % 0.56/0.65 %------------------------------------------- % 0.56/0.66 %------------------------------------------------------------------------------ % 0.56/0.66 % File : SEU151+3 : TPTP v8.2.0. Released v3.2.0. % 0.56/0.66 % Domain : Set theory % 0.56/0.66 % Problem : Basic properties of sets, theorem 10 % 0.56/0.66 % Version : [Urb06] axioms : Especial. % 0.56/0.66 % English : % 0.56/0.66 % 0.56/0.66 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.56/0.66 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.56/0.66 % Source : [Urb06] % 0.56/0.66 % Names : zfmisc_1__t10_zfmisc_1 [Urb06] % 0.56/0.66 % 0.56/0.66 % Status : Theorem % 0.56/0.66 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0, 0.14 v3.2.0 % 0.56/0.66 % Syntax : Number of formulae : 6 ( 3 unt; 0 def) % 0.56/0.66 % Number of atoms : 12 ( 7 equ) % 0.56/0.66 % Maximal formula atoms : 4 ( 2 avg) % 0.56/0.66 % Number of connectives : 11 ( 5 ~; 1 |; 2 &) % 0.56/0.66 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.56/0.66 % Maximal formula depth : 9 ( 5 avg) % 0.56/0.66 % Maximal term depth : 2 ( 1 avg) % 0.56/0.66 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.56/0.66 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty) % 0.56/0.66 % Number of variables : 14 ( 12 !; 2 ?) % 0.56/0.66 % SPC : FOF_THM_RFO_SEQ % 0.56/0.66 % 0.56/0.66 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.66 % library, www.mizar.org % 0.56/0.66 %------------------------------------------------------------------------------ % 0.56/0.66 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.66 ! [A,B] : % 0.56/0.66 ( in(A,B) % 0.56/0.66 => ~ in(B,A) ) ). % 0.56/0.66 % 0.56/0.66 fof(commutativity_k2_tarski,axiom, % 0.56/0.66 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.56/0.66 % 0.56/0.66 fof(d2_tarski,axiom, % 0.56/0.66 ! [A,B,C] : % 0.56/0.66 ( C = unordered_pair(A,B) % 0.56/0.66 <=> ! [D] : % 0.56/0.66 ( in(D,C) % 0.56/0.66 <=> ( D = A % 0.56/0.66 | D = B ) ) ) ). % 0.56/0.66 % 0.56/0.66 fof(rc1_xboole_0,axiom, % 0.56/0.66 ? [A] : empty(A) ). % 0.56/0.66 % 0.56/0.66 fof(rc2_xboole_0,axiom, % 0.56/0.66 ? [A] : ~ empty(A) ). % 0.56/0.66 % 0.56/0.66 fof(t10_zfmisc_1,conjecture, % 0.56/0.66 ! [A,B,C,D] : % 0.56/0.66 ~ ( unordered_pair(A,B) = unordered_pair(C,D) % 0.56/0.66 & A != C % 0.56/0.66 & A != D ) ). % 0.56/0.66 % 0.56/0.66 %------------------------------------------------------------------------------ % 0.56/0.66 %------------------------------------------- % 0.56/0.66 % Proof found % 0.56/0.66 % SZS status Theorem for theBenchmark % 0.56/0.66 % SZS output start Proof % 0.56/0.66 %ClaNum:24(EqnAxiom:11) % 0.56/0.66 %VarNum:68(SingletonVarNum:25) % 0.56/0.66 %MaxLitNum:4 % 0.56/0.66 %MaxfuncDepth:1 % 0.56/0.66 %SharedTerms:13 % 0.56/0.66 %goalClause: 13 15 16 % 0.56/0.66 %singleGoalClaCount:3 % 0.56/0.66 [12]P1(a1) % 0.56/0.66 [15]~E(a3,a7) % 0.56/0.66 [16]~E(a3,a8) % 0.56/0.66 [17]~P1(a4) % 0.56/0.66 [13]E(f6(a3,a5),f6(a7,a8)) % 0.56/0.66 [14]E(f6(x141,x142),f6(x142,x141)) % 0.56/0.66 [20]~P2(x202,x201)+~P2(x201,x202) % 0.56/0.66 [23]~E(f2(x232,x233,x231),x233)+~P2(f2(x232,x233,x231),x231)+E(x231,f6(x232,x233)) % 0.56/0.66 [24]~E(f2(x242,x243,x241),x242)+~P2(f2(x242,x243,x241),x241)+E(x241,f6(x242,x243)) % 0.56/0.66 [18]P2(x181,x182)+~E(x181,x183)+~E(x182,f6(x184,x183)) % 0.56/0.66 [19]P2(x191,x192)+~E(x191,x193)+~E(x192,f6(x193,x194)) % 0.56/0.66 [22]E(f2(x222,x223,x221),x223)+E(f2(x222,x223,x221),x222)+P2(f2(x222,x223,x221),x221)+E(x221,f6(x222,x223)) % 0.56/0.66 [21]~P2(x211,x214)+E(x211,x212)+E(x211,x213)+~E(x214,f6(x213,x212)) % 0.56/0.66 %EqnAxiom % 0.56/0.66 [1]E(x11,x11) % 0.56/0.66 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.66 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) % 0.56/0.66 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) % 0.56/0.66 [6]~E(x61,x62)+E(f2(x61,x63,x64),f2(x62,x63,x64)) % 0.56/0.66 [7]~E(x71,x72)+E(f2(x73,x71,x74),f2(x73,x72,x74)) % 0.56/0.66 [8]~E(x81,x82)+E(f2(x83,x84,x81),f2(x83,x84,x82)) % 0.56/0.66 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 0.56/0.66 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.56/0.66 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.56/0.66 % 0.56/0.66 %------------------------------------------- % 0.57/0.67 cnf(25,plain, % 0.57/0.67 (~P2(x251,f6(x252,x253))+E(x251,x253)+E(x251,x252)), % 0.57/0.67 inference(equality_inference,[],[21])). % 0.57/0.67 cnf(26,plain, % 0.57/0.67 (E(f6(a7,a8),f6(a3,a5))), % 0.57/0.67 inference(scs_inference,[],[13,2])). % 0.57/0.67 cnf(28,plain, % 0.57/0.67 (E(f6(x281,x282),f6(x282,x281))), % 0.57/0.67 inference(rename_variables,[],[14])). % 0.57/0.67 cnf(30,plain, % 0.57/0.67 (P2(f6(a3,a5),f6(x301,f6(a7,a8)))), % 0.57/0.67 inference(scs_inference,[],[13,14,28,2,18,19])). % 0.57/0.67 cnf(31,plain, % 0.57/0.67 (E(f6(x311,x312),f6(x312,x311))), % 0.57/0.67 inference(rename_variables,[],[14])). % 0.57/0.67 cnf(35,plain, % 0.57/0.67 (E(f6(a5,a3),f6(a7,a8))), % 0.57/0.67 inference(scs_inference,[],[13,15,14,28,31,2,18,19,25,3])). % 0.57/0.67 cnf(36,plain, % 0.57/0.67 (E(f6(x361,x362),f6(x362,x361))), % 0.57/0.67 inference(rename_variables,[],[14])). % 0.57/0.67 cnf(37,plain, % 0.57/0.67 (P2(f6(a7,a8),f6(f6(a7,a8),x371))), % 0.57/0.67 inference(scs_inference,[],[13,15,14,28,31,2,18,19,25,3,10])). % 0.57/0.67 cnf(40,plain, % 0.57/0.67 (~P2(a3,f6(a3,a5))), % 0.57/0.67 inference(scs_inference,[],[13,15,16,14,28,31,36,2,18,19,25,3,10,11,21])). % 0.57/0.67 cnf(47,plain, % 0.57/0.67 (E(f6(a7,a8),f6(a5,a3))), % 0.57/0.67 inference(scs_inference,[],[30,35,20,2])). % 0.57/0.67 cnf(50,plain, % 0.57/0.67 (~E(a3,a5)), % 0.57/0.67 inference(scs_inference,[],[16,40,30,35,14,20,2,25,19])). % 0.57/0.67 cnf(51,plain, % 0.57/0.67 (E(f6(x511,x512),f6(x512,x511))), % 0.57/0.67 inference(rename_variables,[],[14])). % 0.57/0.67 cnf(55,plain, % 0.57/0.67 (~P2(a3,f6(a7,a8))), % 0.57/0.67 inference(scs_inference,[],[16,40,30,26,35,14,51,20,2,25,19,18,21])). % 0.57/0.67 cnf(64,plain, % 0.57/0.67 (P2(f6(a5,a3),f6(x641,f6(a7,a8)))), % 0.57/0.67 inference(scs_inference,[],[47,55,50,26,37,14,20,25,19,10,11])). % 0.57/0.67 cnf(86,plain, % 0.57/0.67 ($false), % 0.57/0.67 inference(scs_inference,[],[47,26,55,64,20,18,19]), % 0.57/0.67 ['proof']). % 0.57/0.67 % SZS output end Proof % 0.57/0.67 % Total time :0.030000s %------------------------------------------------------------------------------