%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET687+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 14:22:14 EDT 2024
% Result : Theorem 0.67s 0.72s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET687+4 : TPTP v8.2.0. Released v2.2.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n029.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 : Sun Jun 23 14:36:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 0.59/0.71 %-------------------------------------------
% 0.59/0.71 % File :CSE---1.7
% 0.59/0.71 % Problem :theBenchmark
% 0.59/0.71 % Transform :cnf
% 0.59/0.71 % Format :tptp:raw
% 0.59/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.71
% 0.59/0.71 % Result :Theorem 0.090000s
% 0.59/0.71 % Output :CNFRefutation 0.090000s
% 0.59/0.71 %-------------------------------------------
% 0.59/0.72 %--------------------------------------------------------------------------
% 0.59/0.72 % File : SET687+4 : TPTP v8.2.0. Released v2.2.0.
% 0.59/0.72 % Domain : Set Theory (Naive)
% 0.59/0.72 % Problem : A set is a subset of itself
% 0.59/0.72 % Version : [Pas99] axioms.
% 0.59/0.72 % English :
% 0.59/0.72
% 0.59/0.72 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.59/0.72 % Source : [Pas99]
% 0.59/0.72 % Names :
% 0.59/0.72
% 0.59/0.72 % Status : Theorem
% 0.59/0.72 % Rating : 0.03 v7.3.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 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 v3.2.0, 0.09 v3.1.0, 0.00 v2.2.1
% 0.59/0.72 % Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% 0.59/0.72 % Number of atoms : 30 ( 3 equ)
% 0.59/0.72 % Maximal formula atoms : 3 ( 2 avg)
% 0.59/0.72 % Number of connectives : 20 ( 2 ~; 2 |; 4 &)
% 0.67/0.72 % ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% 0.67/0.72 % Maximal formula depth : 7 ( 5 avg)
% 0.67/0.72 % Maximal term depth : 2 ( 1 avg)
% 0.67/0.72 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 0.67/0.72 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.67/0.72 % Number of variables : 29 ( 28 !; 1 ?)
% 0.67/0.72 % SPC : FOF_THM_RFO_SEQ
% 0.67/0.72
% 0.67/0.72 % Comments :
% 0.67/0.72 %--------------------------------------------------------------------------
% 0.67/0.72 %----Include set theory definitions
% 0.67/0.72 include('Axioms/SET006+0.ax').
% 0.67/0.72 %--------------------------------------------------------------------------
% 0.67/0.72 fof(thI01,conjecture,
% 0.67/0.72 ! [A] : subset(A,A) ).
% 0.67/0.72
% 0.67/0.72 %--------------------------------------------------------------------------
% 0.67/0.72 %-------------------------------------------
% 0.67/0.72 % Proof found
% 0.67/0.72 % SZS status Theorem for theBenchmark
% 0.67/0.72 % SZS output start Proof
% 0.67/0.72 %ClaNum:57(EqnAxiom:27)
% 0.67/0.72 %VarNum:147(SingletonVarNum:72)
% 0.67/0.72 %MaxLitNum:3
% 0.67/0.72 %MaxfuncDepth:1
% 0.67/0.72 %SharedTerms:3
% 0.67/0.72 %goalClause: 28
% 0.67/0.72 %singleGoalClaCount:1
% 0.67/0.72 [28]~P1(a1,a1)
% 0.67/0.72 [29]~P2(x291,a2)
% 0.67/0.72 [32]~P3(x322,x321)+P1(x321,x322)
% 0.67/0.72 [33]~P3(x331,x332)+P1(x331,x332)
% 0.67/0.72 [30]~E(x301,x302)+P2(x301,f7(x302))
% 0.67/0.72 [31]E(x311,x312)+~P2(x311,f7(x312))
% 0.67/0.72 [34]~P1(x341,x342)+P2(x341,f8(x342))
% 0.67/0.72 [37]P1(x371,x372)+~P2(x371,f8(x372))
% 0.67/0.72 [38]P1(x381,x382)+P2(f4(x381,x382),x381)
% 0.67/0.72 [41]P2(f5(x411,x412),x412)+P2(x411,f10(x412))
% 0.67/0.72 [47]~P2(x471,f13(x472))+P2(x471,f6(x471,x472))
% 0.67/0.72 [48]~P2(x481,f13(x482))+P2(f6(x481,x482),x482)
% 0.67/0.72 [53]P1(x531,x532)+~P2(f4(x531,x532),x532)
% 0.67/0.72 [54]~P2(x541,f5(x541,x542))+P2(x541,f10(x542))
% 0.67/0.72 [35]~E(x351,x353)+P2(x351,f11(x352,x353))
% 0.67/0.72 [36]~E(x361,x362)+P2(x361,f11(x362,x363))
% 0.67/0.72 [42]~P2(x421,x423)+P2(x421,f12(x422,x423))
% 0.67/0.72 [43]~P2(x431,x432)+P2(x431,f12(x432,x433))
% 0.67/0.72 [50]P2(x501,x502)+~P2(x501,f9(x503,x502))
% 0.67/0.72 [51]P2(x511,x512)+~P2(x511,f9(x512,x513))
% 0.67/0.72 [52]P2(x521,x522)+~P2(x521,f3(x522,x523))
% 0.67/0.72 [56]~P2(x561,x562)+~P2(x561,f3(x563,x562))
% 0.67/0.72 [40]~P1(x402,x401)+~P1(x401,x402)+P3(x401,x402)
% 0.67/0.72 [39]~P2(x391,x393)+P2(x391,x392)+~P1(x393,x392)
% 0.67/0.72 [44]~P2(x443,x442)+~P2(x441,x443)+P2(x441,f13(x442))
% 0.67/0.72 [45]E(x451,x452)+E(x451,x453)+~P2(x451,f11(x453,x452))
% 0.67/0.72 [46]P2(x461,x462)+~P2(x462,x463)+~P2(x461,f10(x463))
% 0.67/0.72 [49]~P2(x491,x493)+P2(x491,x492)+P2(x491,f3(x493,x492))
% 0.67/0.72 [55]~P2(x551,x553)+~P2(x551,x552)+P2(x551,f9(x552,x553))
% 0.67/0.72 [57]P2(x571,x572)+P2(x571,x573)+~P2(x571,f12(x573,x572))
% 0.67/0.72 %EqnAxiom
% 0.67/0.72 [1]E(x11,x11)
% 0.67/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.67/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.67/0.72 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.67/0.72 [5]~E(x51,x52)+E(f12(x51,x53),f12(x52,x53))
% 0.67/0.72 [6]~E(x61,x62)+E(f12(x63,x61),f12(x63,x62))
% 0.67/0.72 [7]~E(x71,x72)+E(f8(x71),f8(x72))
% 0.67/0.72 [8]~E(x81,x82)+E(f11(x81,x83),f11(x82,x83))
% 0.67/0.72 [9]~E(x91,x92)+E(f11(x93,x91),f11(x93,x92))
% 0.67/0.72 [10]~E(x101,x102)+E(f10(x101),f10(x102))
% 0.67/0.72 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.67/0.72 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.67/0.72 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.67/0.72 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.67/0.72 [15]~E(x151,x152)+E(f3(x151,x153),f3(x152,x153))
% 0.67/0.72 [16]~E(x161,x162)+E(f3(x163,x161),f3(x163,x162))
% 0.67/0.72 [17]~E(x171,x172)+E(f9(x171,x173),f9(x172,x173))
% 0.67/0.72 [18]~E(x181,x182)+E(f9(x183,x181),f9(x183,x182))
% 0.67/0.72 [19]~E(x191,x192)+E(f13(x191),f13(x192))
% 0.67/0.72 [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 0.67/0.72 [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 0.67/0.72 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.67/0.72 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.67/0.72 [24]P2(x242,x243)+~E(x241,x242)+~P2(x241,x243)
% 0.67/0.72 [25]P2(x253,x252)+~E(x251,x252)+~P2(x253,x251)
% 0.67/0.72 [26]P3(x262,x263)+~E(x261,x262)+~P3(x261,x263)
% 0.67/0.72 [27]P3(x273,x272)+~E(x271,x272)+~P3(x273,x271)
% 0.67/0.72
% 0.67/0.72 %-------------------------------------------
% 0.67/0.73 cnf(64,plain,
% 0.67/0.73 (~P2(x641,a2)),
% 0.67/0.73 inference(rename_variables,[],[29])).
% 0.67/0.73 cnf(66,plain,
% 0.67/0.73 (~P2(x661,f13(a2))),
% 0.67/0.73 inference(scs_inference,[],[28,29,64,32,38,48])).
% 0.67/0.73 cnf(167,plain,
% 0.67/0.73 (P2(f4(a1,a1),f12(a1,x1671))),
% 0.67/0.73 inference(scs_inference,[],[28,43,38])).
% 0.67/0.73 cnf(169,plain,
% 0.67/0.73 (P2(f4(a1,a1),f12(a1,x1691))),
% 0.67/0.73 inference(rename_variables,[],[167])).
% 0.67/0.73 cnf(170,plain,
% 0.67/0.73 (~P2(x1701,f13(a2))),
% 0.67/0.73 inference(rename_variables,[],[66])).
% 0.67/0.73 cnf(174,plain,
% 0.67/0.73 ($false),
% 0.67/0.73 inference(scs_inference,[],[28,66,170,167,169,57,25,53]),
% 0.67/0.73 ['proof']).
% 0.67/0.73 % SZS output end Proof
% 0.67/0.73 % Total time :0.090000s
%------------------------------------------------------------------------------