0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_scs.jar %d %s 0.02/0.23 % Computer : n148.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:46:24 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.30 openjdk version "1.8.0_144" 0.06/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.51 start to proof:theBenchmark 0.42/0.73 %------------------------------------------- 0.42/0.73 % File :CSE---1.1 0.42/0.73 % Problem :theBenchmark 0.42/0.73 % Transform :cnf 0.42/0.73 % Format :tptp:raw 0.42/0.73 % Command :java -jar mcs_scs.jar %d %s 0.42/0.73 0.42/0.73 % Result :Theorem 0.040000s 0.42/0.73 % Output :CNFRefutation 0.040000s 0.42/0.73 %------------------------------------------- 0.42/0.74 fof(dt_k1_zfmisc_1,axiom,( 0.42/0.74 $true )). 0.42/0.74 0.42/0.74 fof(t99_zfmisc_1,conjecture,( 0.42/0.74 ! [A] : A = union(powerset(A)) )). 0.42/0.74 0.42/0.74 fof(antisymmetry_r2_hidden,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( in(A,B) 0.42/0.74 => ~ in(B,A) ) )). 0.42/0.74 0.42/0.74 fof(reflexivity_r1_tarski,axiom,( 0.42/0.74 ! [A,B] : subset(A,A) )). 0.42/0.74 0.42/0.74 fof(d1_zfmisc_1,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( ! [C] : 0.42/0.74 ( in(C,B) 0.42/0.74 <=> subset(C,A) ) 0.42/0.74 <=> B = powerset(A) ) )). 0.42/0.74 0.42/0.74 fof(d3_tarski,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( subset(A,B) 0.42/0.74 <=> ! [C] : 0.42/0.74 ( in(C,B) 0.42/0.74 <= in(C,A) ) ) )). 0.42/0.74 0.42/0.74 fof(dt_k3_tarski,axiom,( 0.42/0.74 $true )). 0.42/0.74 0.42/0.74 fof(d1_tarski,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( ! [C] : 0.42/0.74 ( in(C,B) 0.42/0.74 <=> C = A ) 0.42/0.74 <=> B = singleton(A) ) )). 0.42/0.74 0.42/0.74 fof(dt_k1_tarski,axiom,( 0.42/0.74 $true )). 0.42/0.74 0.42/0.74 fof(d4_tarski,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( union(A) = B 0.42/0.74 <=> ! [C] : 0.42/0.74 ( ? [D] : 0.42/0.74 ( in(C,D) 0.42/0.74 & in(D,A) ) 0.42/0.74 <=> in(C,B) ) ) )). 0.42/0.74 0.42/0.74 fof(t2_tarski,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( ! [C] : 0.42/0.74 ( in(C,A) 0.42/0.74 <=> in(C,B) ) 0.42/0.74 => A = B ) )). 0.42/0.74 0.42/0.74 fof(l2_zfmisc_1,axiom,( 0.42/0.74 ! [A,B] : 0.42/0.74 ( subset(singleton(A),B) 0.42/0.74 <=> in(A,B) ) )). 0.42/0.74 0.42/0.74 %------------------------------------------- 0.42/0.74 % Proof found 0.42/0.74 % SZS status Theorem for theBenchmark 0.42/0.74 % SZS output start Proof 0.42/0.74 %ClaNum:49(EqnAxiom:25) 0.42/0.74 %VarNum:153(SingletonVarNum:55) 0.42/0.74 %MaxLitNum:4 0.42/0.74 %MaxfuncDepth:2 0.42/0.74 %SharedTerms:4 0.42/0.74 %goalClause: 27 0.42/0.74 %singleGoalClaCount:1 0.42/0.74 [27]~E(f2(f3(a4)),a4) 0.42/0.74 [26]P1(x261,x261) 0.42/0.74 [31]~P5(x312,x311)+~P5(x311,x312) 0.42/0.74 [30]~P5(x301,x302)+P1(f6(x301),x302) 0.42/0.74 [34]P5(x341,x342)+~P1(f6(x341),x342) 0.42/0.74 [35]P1(x351,x352)+P5(f7(x351,x352),x351) 0.42/0.74 [39]P1(x391,x392)+~P5(f7(x391,x392),x392) 0.42/0.74 [37]E(f8(x372,x371),x372)+P5(f8(x372,x371),x371)+E(x371,f6(x372)) 0.42/0.74 [40]E(x401,x402)+P5(f9(x401,x402),x402)+P5(f9(x401,x402),x401) 0.42/0.74 [41]P5(f10(x412,x411),x411)+P1(f10(x412,x411),x412)+E(x411,f3(x412)) 0.42/0.74 [42]P5(f11(x421,x422),x422)+P5(f12(x421,x422),x421)+E(f2(x421),x422) 0.42/0.74 [43]~E(f8(x432,x431),x432)+~P5(f8(x432,x431),x431)+E(x431,f6(x432)) 0.42/0.74 [44]P5(f11(x441,x442),x442)+P5(f11(x441,x442),f12(x441,x442))+E(f2(x441),x442) 0.42/0.74 [45]E(x451,x452)+~P5(f9(x451,x452),x452)+~P5(f9(x451,x452),x451) 0.42/0.74 [46]~P5(f10(x462,x461),x461)+~P1(f10(x462,x461),x462)+E(x461,f3(x462)) 0.42/0.74 [36]~P1(x363,x362)+P5(x361,x362)+~P5(x361,x363) 0.42/0.74 [28]P5(x281,x282)+~E(x283,x281)+~E(x282,f6(x283)) 0.42/0.74 [29]~P5(x292,x293)+E(x291,x292)+~E(x293,f6(x291)) 0.42/0.74 [32]~P1(x321,x323)+P5(x321,x322)+~E(x322,f3(x323)) 0.42/0.74 [33]~P5(x331,x333)+P1(x331,x332)+~E(x333,f3(x332)) 0.42/0.74 [47]~P5(x471,x473)+~E(f2(x472),x473)+P5(x471,f13(x472,x473,x471)) 0.42/0.74 [48]~P5(x483,x482)+~E(f2(x481),x482)+P5(f13(x481,x482,x483),x481) 0.42/0.74 [49]~P5(x493,x491)+~P5(f11(x491,x492),x493)+~P5(f11(x491,x492),x492)+E(f2(x491),x492) 0.42/0.74 [38]~P5(x381,x384)+P5(x381,x382)+~P5(x384,x383)+~E(f2(x383),x382) 0.42/0.74 %EqnAxiom 0.42/0.74 [1]E(x11,x11) 0.42/0.74 [2]E(x22,x21)+~E(x21,x22) 0.42/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 0.42/0.74 [4]~E(x41,x42)+E(f3(x41),f3(x42)) 0.42/0.74 [5]~E(x51,x52)+E(f2(x51),f2(x52)) 0.42/0.74 [6]~E(x61,x62)+E(f6(x61),f6(x62)) 0.42/0.74 [7]~E(x71,x72)+E(f9(x71,x73),f9(x72,x73)) 0.42/0.74 [8]~E(x81,x82)+E(f9(x83,x81),f9(x83,x82)) 0.42/0.74 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93)) 0.42/0.74 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102)) 0.42/0.74 [11]~E(x111,x112)+E(f11(x111,x113),f11(x112,x113)) 0.42/0.74 [12]~E(x121,x122)+E(f11(x123,x121),f11(x123,x122)) 0.42/0.74 [13]~E(x131,x132)+E(f12(x131,x133),f12(x132,x133)) 0.42/0.74 [14]~E(x141,x142)+E(f12(x143,x141),f12(x143,x142)) 0.42/0.74 [15]~E(x151,x152)+E(f8(x151,x153),f8(x152,x153)) 0.42/0.74 [16]~E(x161,x162)+E(f8(x163,x161),f8(x163,x162)) 0.42/0.74 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173)) 0.42/0.74 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182)) 0.42/0.74 [19]~E(x191,x192)+E(f13(x191,x193,x194),f13(x192,x193,x194)) 0.42/0.74 [20]~E(x201,x202)+E(f13(x203,x201,x204),f13(x203,x202,x204)) 0.42/0.74 [21]~E(x211,x212)+E(f13(x213,x214,x211),f13(x213,x214,x212)) 0.42/0.74 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223) 0.42/0.74 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231) 0.42/0.74 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243) 0.42/0.74 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251) 0.42/0.74 0.42/0.74 %------------------------------------------- 0.42/0.74 cnf(51,plain, 0.42/0.74 (~P1(x511,x512)+P5(x511,f3(x512))), 0.42/0.74 inference(equality_inference,[],[32])). 0.42/0.74 cnf(52,plain, 0.42/0.74 (~P5(x521,f3(x522))+P1(x521,x522)), 0.42/0.74 inference(equality_inference,[],[33])). 0.42/0.74 cnf(58,plain, 0.42/0.74 (P5(x581,f3(x581))), 0.42/0.74 inference(scs_inference,[],[27,26,2,51])). 0.42/0.74 cnf(122,plain, 0.42/0.74 (~P5(f11(f3(a4),a4),a4)), 0.42/0.74 inference(scs_inference,[],[27,58,49])). 0.42/0.74 cnf(146,plain, 0.42/0.74 ($false), 0.42/0.74 inference(scs_inference,[],[27,122,26,44,36,22,42,2,52]), 0.42/0.74 ['proof']). 0.42/0.74 % SZS output end Proof 0.42/0.74 % Total time :0.040000s 0.42/0.75 EOF