%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU151+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 : 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 15:01:21 EDT 2024 % Result : Theorem 0.56s 0.64s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU151+1 : TPTP v8.2.0. Released v3.3.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.34 % Computer : n017.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Jun 21 11:32:24 EDT 2024 % 0.14/0.34 % CPUTime : % 0.54/0.59 start to proof:theBenchmark % 0.54/0.63 %------------------------------------------- % 0.56/0.63 % File :CSE---1.7 % 0.56/0.63 % Problem :theBenchmark % 0.56/0.63 % Transform :cnf % 0.56/0.63 % Format :tptp:raw % 0.56/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.63 % 0.56/0.63 % Result :Theorem 0.010000s % 0.56/0.63 % Output :CNFRefutation 0.010000s % 0.56/0.63 %------------------------------------------- % 0.56/0.64 %------------------------------------------------------------------------------ % 0.56/0.64 % File : SEU151+1 : TPTP v8.2.0. Released v3.3.0. % 0.56/0.64 % Domain : Set theory % 0.56/0.64 % Problem : MPTP bushy problem t10_zfmisc_1 % 0.56/0.64 % Version : [Urb07] axioms : Especial. % 0.56/0.64 % English : % 0.56/0.64 % 0.56/0.64 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.56/0.64 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.56/0.64 % Source : [Urb07] % 0.56/0.64 % Names : bushy-t10_zfmisc_1 [Urb07] % 0.56/0.64 % 0.56/0.64 % Status : Theorem % 0.56/0.64 % Rating : 0.17 v7.5.0, 0.19 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, 0.08 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.17 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0 % 0.56/0.64 % Syntax : Number of formulae : 5 ( 2 unt; 0 def) % 0.56/0.64 % Number of atoms : 11 ( 7 equ) % 0.56/0.64 % Maximal formula atoms : 4 ( 2 avg) % 0.56/0.64 % Number of connectives : 10 ( 4 ~; 1 |; 2 &) % 0.56/0.64 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.56/0.64 % Maximal formula depth : 9 ( 5 avg) % 0.56/0.64 % Maximal term depth : 2 ( 1 avg) % 0.56/0.64 % Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty) % 0.56/0.64 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty) % 0.56/0.64 % Number of variables : 12 ( 12 !; 0 ?) % 0.56/0.64 % SPC : FOF_THM_RFO_SEQ % 0.56/0.64 % 0.56/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.64 % library, www.mizar.org % 0.56/0.64 %------------------------------------------------------------------------------ % 0.56/0.64 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( in(A,B) % 0.56/0.64 => ~ in(B,A) ) ). % 0.56/0.64 % 0.56/0.64 fof(commutativity_k2_tarski,axiom, % 0.56/0.64 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.56/0.64 % 0.56/0.64 fof(d2_tarski,axiom, % 0.56/0.64 ! [A,B,C] : % 0.56/0.64 ( C = unordered_pair(A,B) % 0.56/0.64 <=> ! [D] : % 0.56/0.64 ( in(D,C) % 0.56/0.64 <=> ( D = A % 0.56/0.64 | D = B ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(dt_k2_tarski,axiom, % 0.56/0.64 $true ). % 0.56/0.64 % 0.56/0.64 fof(t10_zfmisc_1,conjecture, % 0.56/0.64 ! [A,B,C,D] : % 0.56/0.64 ~ ( unordered_pair(A,B) = unordered_pair(C,D) % 0.56/0.64 & A != C % 0.56/0.64 & A != D ) ). % 0.56/0.64 % 0.56/0.64 %------------------------------------------------------------------------------ % 0.56/0.64 %------------------------------------------- % 0.56/0.64 % Proof found % 0.56/0.64 % SZS status Theorem for theBenchmark % 0.56/0.64 % SZS output start Proof % 0.56/0.64 %ClaNum:21(EqnAxiom:10) % 0.56/0.64 %VarNum:68(SingletonVarNum:25) % 0.56/0.64 %MaxLitNum:4 % 0.56/0.64 %MaxfuncDepth:1 % 0.56/0.64 %SharedTerms:9 % 0.56/0.64 %goalClause: 11 13 14 % 0.56/0.64 %singleGoalClaCount:3 % 0.56/0.64 [13]~E(a1,a5) % 0.56/0.64 [14]~E(a1,a6) % 0.56/0.64 [11]E(f4(a1,a3),f4(a5,a6)) % 0.56/0.64 [12]E(f4(x121,x122),f4(x122,x121)) % 0.56/0.64 [17]~P1(x172,x171)+~P1(x171,x172) % 0.56/0.64 [20]~E(f2(x202,x203,x201),x203)+~P1(f2(x202,x203,x201),x201)+E(x201,f4(x202,x203)) % 0.56/0.64 [21]~E(f2(x212,x213,x211),x212)+~P1(f2(x212,x213,x211),x211)+E(x211,f4(x212,x213)) % 0.56/0.64 [15]P1(x151,x152)+~E(x151,x153)+~E(x152,f4(x154,x153)) % 0.56/0.64 [16]P1(x161,x162)+~E(x161,x163)+~E(x162,f4(x163,x164)) % 0.56/0.64 [19]E(f2(x192,x193,x191),x193)+E(f2(x192,x193,x191),x192)+P1(f2(x192,x193,x191),x191)+E(x191,f4(x192,x193)) % 0.56/0.64 [18]~P1(x181,x184)+E(x181,x182)+E(x181,x183)+~E(x184,f4(x183,x182)) % 0.56/0.64 %EqnAxiom % 0.56/0.64 [1]E(x11,x11) % 0.56/0.64 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.64 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43)) % 0.56/0.64 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52)) % 0.56/0.64 [6]~E(x61,x62)+E(f2(x61,x63,x64),f2(x62,x63,x64)) % 0.56/0.64 [7]~E(x71,x72)+E(f2(x73,x71,x74),f2(x73,x72,x74)) % 0.56/0.64 [8]~E(x81,x82)+E(f2(x83,x84,x81),f2(x83,x84,x82)) % 0.56/0.64 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93) % 0.56/0.64 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101) % 0.56/0.64 % 0.56/0.64 %------------------------------------------- % 0.56/0.65 cnf(22,plain, % 0.56/0.65 (~P1(x221,f4(x222,x223))+E(x221,x223)+E(x221,x222)), % 0.56/0.65 inference(equality_inference,[],[18])). % 0.56/0.65 cnf(23,plain, % 0.56/0.65 (E(f4(a5,a6),f4(a1,a3))), % 0.56/0.65 inference(scs_inference,[],[11,2])). % 0.56/0.65 cnf(25,plain, % 0.56/0.65 (E(f4(x251,x252),f4(x252,x251))), % 0.56/0.65 inference(rename_variables,[],[12])). % 0.56/0.65 cnf(29,plain, % 0.56/0.65 (E(f4(a3,a1),f4(a5,a6))), % 0.56/0.65 inference(scs_inference,[],[11,13,12,25,2,15,22,3])). % 0.56/0.65 cnf(30,plain, % 0.56/0.65 (E(f4(x301,x302),f4(x302,x301))), % 0.56/0.65 inference(rename_variables,[],[12])). % 0.56/0.65 cnf(31,plain, % 0.56/0.65 (P1(f4(a5,a6),f4(f4(a5,a6),x311))), % 0.56/0.65 inference(scs_inference,[],[11,13,12,25,2,15,22,3,9])). % 0.56/0.65 cnf(32,plain, % 0.56/0.65 (P1(f4(a1,a3),f4(x321,f4(a5,a6)))), % 0.56/0.65 inference(scs_inference,[],[11,13,12,25,30,2,15,22,3,9,10])). % 0.56/0.65 cnf(34,plain, % 0.56/0.65 (~P1(a1,f4(a1,a3))), % 0.56/0.65 inference(scs_inference,[],[11,13,14,12,25,30,2,15,22,3,9,10,18])). % 0.56/0.65 cnf(38,plain, % 0.56/0.65 (P1(x381,f4(a5,a6))+~E(x381,a1)), % 0.56/0.65 inference(scs_inference,[],[11,13,14,12,25,30,2,15,22,3,9,10,18,17,16])). % 0.56/0.65 cnf(40,plain, % 0.56/0.65 (P1(a1,f4(a5,a6))), % 0.56/0.65 inference(equality_inference,[],[38])). % 0.56/0.65 cnf(46,plain, % 0.56/0.65 (~E(f4(f4(a5,a6),x461),a3)), % 0.56/0.65 inference(scs_inference,[],[31,23,29,2,17,16,15])). % 0.56/0.65 cnf(67,plain, % 0.56/0.65 (E(f4(x671,x672),f4(x672,x671))), % 0.56/0.65 inference(rename_variables,[],[12])). % 0.56/0.65 cnf(71,plain, % 0.56/0.65 ($false), % 0.56/0.65 inference(scs_inference,[],[46,34,32,40,23,12,67,17,22,15,16,10]), % 0.56/0.65 ['proof']). % 0.56/0.65 % SZS output end Proof % 0.56/0.65 % Total time :0.010000s %------------------------------------------------------------------------------