TSTP Solution File: SET366+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 : Thu Aug 31 14:29:39 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 14:53:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.20/0.63 % Domain : Set Theory (Naive)
% 0.20/0.63 % Problem : The empty set is in every power set
% 0.20/0.63 % Version : [Pas99] axioms.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.20/0.63 % Source : [Pas99]
% 0.20/0.63 % Names :
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.06 v7.5.0, 0.03 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.04 v4.0.0, 0.08 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.00 v2.2.1
% 0.20/0.63 % Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% 0.20/0.63 % Number of atoms : 30 ( 3 equ)
% 0.20/0.63 % Maximal formula atoms : 3 ( 2 avg)
% 0.20/0.63 % Number of connectives : 20 ( 2 ~; 2 |; 4 &)
% 0.20/0.63 % ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 7 ( 5 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 0.20/0.63 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.20/0.63 % Number of variables : 29 ( 28 !; 1 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %----Include set theory definitions
% 0.20/0.63 include('Axioms/SET006+0.ax').
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 fof(thI47,conjecture,
% 0.20/0.63 ! [A] : member(empty_set,power_set(A)) ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:57(EqnAxiom:27)
% 0.20/0.63 %VarNum:147(SingletonVarNum:72)
% 0.20/0.63 %MaxLitNum:3
% 0.20/0.63 %MaxfuncDepth:1
% 0.20/0.63 %SharedTerms:4
% 0.20/0.63 %goalClause: 29
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [29]~P1(a1,f7(a3))
% 0.20/0.63 [28]~P1(x281,a1)
% 0.20/0.63 [32]~P2(x322,x321)+P3(x321,x322)
% 0.20/0.63 [33]~P2(x331,x332)+P3(x331,x332)
% 0.20/0.63 [30]~E(x301,x302)+P1(x301,f9(x302))
% 0.20/0.63 [31]E(x311,x312)+~P1(x311,f9(x312))
% 0.20/0.63 [34]~P3(x341,x342)+P1(x341,f7(x342))
% 0.20/0.63 [37]P3(x371,x372)+~P1(x371,f7(x372))
% 0.20/0.63 [38]P3(x381,x382)+P1(f4(x381,x382),x381)
% 0.20/0.63 [41]P1(f5(x411,x412),x412)+P1(x411,f10(x412))
% 0.20/0.63 [47]~P1(x471,f13(x472))+P1(x471,f6(x471,x472))
% 0.20/0.63 [48]~P1(x481,f13(x482))+P1(f6(x481,x482),x482)
% 0.20/0.63 [53]P3(x531,x532)+~P1(f4(x531,x532),x532)
% 0.20/0.63 [54]~P1(x541,f5(x541,x542))+P1(x541,f10(x542))
% 0.20/0.63 [35]~E(x351,x353)+P1(x351,f11(x352,x353))
% 0.20/0.63 [36]~E(x361,x362)+P1(x361,f11(x362,x363))
% 0.20/0.63 [42]~P1(x421,x423)+P1(x421,f12(x422,x423))
% 0.20/0.63 [43]~P1(x431,x432)+P1(x431,f12(x432,x433))
% 0.20/0.63 [50]P1(x501,x502)+~P1(x501,f8(x503,x502))
% 0.20/0.63 [51]P1(x511,x512)+~P1(x511,f8(x512,x513))
% 0.20/0.63 [52]P1(x521,x522)+~P1(x521,f2(x522,x523))
% 0.20/0.63 [56]~P1(x561,x562)+~P1(x561,f2(x563,x562))
% 0.20/0.63 [40]~P3(x402,x401)+~P3(x401,x402)+P2(x401,x402)
% 0.20/0.63 [39]~P1(x391,x393)+P1(x391,x392)+~P3(x393,x392)
% 0.20/0.63 [44]~P1(x443,x442)+~P1(x441,x443)+P1(x441,f13(x442))
% 0.20/0.63 [45]E(x451,x452)+E(x451,x453)+~P1(x451,f11(x453,x452))
% 0.20/0.63 [46]P1(x461,x462)+~P1(x462,x463)+~P1(x461,f10(x463))
% 0.20/0.63 [49]~P1(x491,x493)+P1(x491,x492)+P1(x491,f2(x493,x492))
% 0.20/0.63 [55]~P1(x551,x553)+~P1(x551,x552)+P1(x551,f8(x552,x553))
% 0.20/0.63 [57]P1(x571,x572)+P1(x571,x573)+~P1(x571,f12(x573,x572))
% 0.20/0.63 %EqnAxiom
% 0.20/0.63 [1]E(x11,x11)
% 0.20/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.63 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.20/0.63 [6]~E(x61,x62)+E(f8(x61,x63),f8(x62,x63))
% 0.20/0.63 [7]~E(x71,x72)+E(f8(x73,x71),f8(x73,x72))
% 0.20/0.63 [8]~E(x81,x82)+E(f12(x81,x83),f12(x82,x83))
% 0.20/0.63 [9]~E(x91,x92)+E(f12(x93,x91),f12(x93,x92))
% 0.20/0.63 [10]~E(x101,x102)+E(f11(x101,x103),f11(x102,x103))
% 0.20/0.63 [11]~E(x111,x112)+E(f11(x113,x111),f11(x113,x112))
% 0.20/0.63 [12]~E(x121,x122)+E(f10(x121),f10(x122))
% 0.20/0.63 [13]~E(x131,x132)+E(f2(x131,x133),f2(x132,x133))
% 0.20/0.63 [14]~E(x141,x142)+E(f2(x143,x141),f2(x143,x142))
% 0.20/0.63 [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 0.20/0.63 [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 0.20/0.63 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173))
% 0.20/0.63 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182))
% 0.20/0.63 [19]~E(x191,x192)+E(f5(x191,x193),f5(x192,x193))
% 0.20/0.63 [20]~E(x201,x202)+E(f5(x203,x201),f5(x203,x202))
% 0.20/0.63 [21]~E(x211,x212)+E(f13(x211),f13(x212))
% 0.20/0.63 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.20/0.63 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.20/0.63 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.20/0.63 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.20/0.63 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.20/0.63 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(59,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[29,28,34,38]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------