TSTP Solution File: SET019+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET019+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 : 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 : Thu Aug 31 14:27:56 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
% 0.00/0.12 % Problem : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.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 16:21:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 0.20/0.63 % Domain : Set Theory (Naive)
% 0.20/0.63 % Problem : Two sets that contain one another are equal
% 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 : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.00 v2.2.1
% 0.20/0.63 % Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% 0.20/0.63 % Number of atoms : 32 ( 3 equ)
% 0.20/0.63 % Maximal formula atoms : 3 ( 2 avg)
% 0.20/0.63 % Number of connectives : 22 ( 2 ~; 2 |; 5 &)
% 0.20/0.63 % ( 10 <=>; 3 =>; 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 : 30 ( 29 !; 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(thI02,conjecture,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( ( subset(A,B)
% 0.20/0.63 & subset(B,A) )
% 0.20/0.63 => equal_set(A,B) ) ).
% 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:59(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:6
% 0.20/0.63 %goalClause: 28 29 30
% 0.20/0.63 %singleGoalClaCount:3
% 0.20/0.63 [28]P1(a1,a7)
% 0.20/0.63 [29]P1(a7,a1)
% 0.20/0.63 [30]~P2(a1,a7)
% 0.20/0.63 [31]~P3(x311,a2)
% 0.20/0.63 [34]~P2(x342,x341)+P1(x341,x342)
% 0.20/0.63 [35]~P2(x351,x352)+P1(x351,x352)
% 0.20/0.63 [32]~E(x321,x322)+P3(x321,f8(x322))
% 0.20/0.63 [33]E(x331,x332)+~P3(x331,f8(x332))
% 0.20/0.63 [36]~P1(x361,x362)+P3(x361,f9(x362))
% 0.20/0.63 [39]P1(x391,x392)+~P3(x391,f9(x392))
% 0.20/0.63 [40]P1(x401,x402)+P3(f4(x401,x402),x401)
% 0.20/0.63 [43]P3(f5(x431,x432),x432)+P3(x431,f11(x432))
% 0.20/0.63 [49]~P3(x491,f14(x492))+P3(x491,f6(x491,x492))
% 0.20/0.63 [50]~P3(x501,f14(x502))+P3(f6(x501,x502),x502)
% 0.20/0.63 [55]P1(x551,x552)+~P3(f4(x551,x552),x552)
% 0.20/0.63 [56]~P3(x561,f5(x561,x562))+P3(x561,f11(x562))
% 0.20/0.63 [37]~E(x371,x373)+P3(x371,f12(x372,x373))
% 0.20/0.63 [38]~E(x381,x382)+P3(x381,f12(x382,x383))
% 0.20/0.63 [44]~P3(x441,x443)+P3(x441,f13(x442,x443))
% 0.20/0.63 [45]~P3(x451,x452)+P3(x451,f13(x452,x453))
% 0.20/0.63 [52]P3(x521,x522)+~P3(x521,f10(x523,x522))
% 0.20/0.63 [53]P3(x531,x532)+~P3(x531,f10(x532,x533))
% 0.20/0.63 [54]P3(x541,x542)+~P3(x541,f3(x542,x543))
% 0.20/0.63 [58]~P3(x581,x582)+~P3(x581,f3(x583,x582))
% 0.20/0.63 [42]~P1(x422,x421)+~P1(x421,x422)+P2(x421,x422)
% 0.20/0.63 [41]~P3(x411,x413)+P3(x411,x412)+~P1(x413,x412)
% 0.20/0.63 [46]~P3(x463,x462)+~P3(x461,x463)+P3(x461,f14(x462))
% 0.20/0.63 [47]E(x471,x472)+E(x471,x473)+~P3(x471,f12(x473,x472))
% 0.20/0.63 [48]P3(x481,x482)+~P3(x482,x483)+~P3(x481,f11(x483))
% 0.20/0.63 [51]~P3(x511,x513)+P3(x511,x512)+P3(x511,f3(x513,x512))
% 0.20/0.63 [57]~P3(x571,x573)+~P3(x571,x572)+P3(x571,f10(x572,x573))
% 0.20/0.63 [59]P3(x591,x592)+P3(x591,x593)+~P3(x591,f13(x593,x592))
% 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(f8(x41),f8(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f13(x51,x53),f13(x52,x53))
% 0.20/0.63 [6]~E(x61,x62)+E(f13(x63,x61),f13(x63,x62))
% 0.20/0.63 [7]~E(x71,x72)+E(f9(x71),f9(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),f11(x102))
% 0.20/0.63 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.20/0.63 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.20/0.63 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.20/0.63 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.20/0.63 [15]~E(x151,x152)+E(f3(x151,x153),f3(x152,x153))
% 0.20/0.63 [16]~E(x161,x162)+E(f3(x163,x161),f3(x163,x162))
% 0.20/0.63 [17]~E(x171,x172)+E(f10(x171,x173),f10(x172,x173))
% 0.20/0.63 [18]~E(x181,x182)+E(f10(x183,x181),f10(x183,x182))
% 0.20/0.63 [19]~E(x191,x192)+E(f14(x191),f14(x192))
% 0.20/0.63 [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 0.20/0.64 [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 0.20/0.64 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.20/0.64 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.20/0.64 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.20/0.64 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.20/0.64 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.20/0.64 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(61,plain,
% 0.20/0.64 (~P3(x611,a2)),
% 0.20/0.64 inference(rename_variables,[],[31])).
% 0.20/0.64 cnf(65,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[28,31,61,29,30,40,50,42]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------