%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET095+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 14:20:41 EDT 2024
% Result : Theorem 0.68s 0.78s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET095+4 : TPTP v8.2.0. Released v2.2.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.28 % Computer : n029.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jun 23 16:25:54 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.44 start to proof:theBenchmark
% 0.68/0.78 %-------------------------------------------
% 0.68/0.78 % File :CSE---1.7
% 0.68/0.78 % Problem :theBenchmark
% 0.68/0.78 % Transform :cnf
% 0.68/0.78 % Format :tptp:raw
% 0.68/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.68/0.78
% 0.68/0.78 % Result :Theorem 0.290000s
% 0.68/0.78 % Output :CNFRefutation 0.290000s
% 0.68/0.78 %-------------------------------------------
% 0.68/0.78 %--------------------------------------------------------------------------
% 0.68/0.78 % File : SET095+4 : TPTP v8.2.0. Released v2.2.0.
% 0.68/0.78 % Domain : Set Theory (Naive)
% 0.68/0.78 % Problem : If X is in Y, then the singleton containing X is a subset of Y
% 0.68/0.78 % Version : [Pas99] axioms.
% 0.68/0.78 % English :
% 0.68/0.78
% 0.68/0.78 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.68/0.78 % Source : [Pas99]
% 0.68/0.78 % Names :
% 0.68/0.78
% 0.68/0.78 % Status : Theorem
% 0.68/0.78 % Rating : 0.14 v8.2.0, 0.17 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.27 v6.0.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.12 v2.4.0, 0.00 v2.2.1
% 0.68/0.78 % Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% 0.68/0.78 % Number of atoms : 31 ( 3 equ)
% 0.68/0.78 % Maximal formula atoms : 3 ( 2 avg)
% 0.68/0.78 % Number of connectives : 21 ( 2 ~; 2 |; 4 &)
% 0.68/0.78 % ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% 0.68/0.78 % Maximal formula depth : 7 ( 5 avg)
% 0.68/0.78 % Maximal term depth : 2 ( 1 avg)
% 0.68/0.78 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 0.68/0.78 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.68/0.78 % Number of variables : 30 ( 29 !; 1 ?)
% 0.68/0.78 % SPC : FOF_THM_RFO_SEQ
% 0.68/0.78
% 0.68/0.78 % Comments :
% 0.68/0.78 %--------------------------------------------------------------------------
% 0.68/0.78 %----Include set theory definitions
% 0.68/0.78 include('Axioms/SET006+0.ax').
% 0.68/0.78 %--------------------------------------------------------------------------
% 0.68/0.78 fof(thI44,conjecture,
% 0.68/0.78 ! [A,X] :
% 0.68/0.78 ( member(X,A)
% 0.68/0.78 => subset(singleton(X),A) ) ).
% 0.68/0.78
% 0.68/0.78 %--------------------------------------------------------------------------
% 0.68/0.78 %-------------------------------------------
% 0.68/0.78 % Proof found
% 0.68/0.78 % SZS status Theorem for theBenchmark
% 0.68/0.78 % SZS output start Proof
% 0.68/0.78 %ClaNum:58(EqnAxiom:27)
% 0.68/0.78 %VarNum:147(SingletonVarNum:72)
% 0.68/0.78 %MaxLitNum:3
% 0.68/0.78 %MaxfuncDepth:1
% 0.68/0.78 %SharedTerms:6
% 0.68/0.78 %goalClause: 28 30
% 0.68/0.78 %singleGoalClaCount:2
% 0.68/0.78 [28]P1(a1,a2)
% 0.68/0.78 [30]~P3(f8(a1),a2)
% 0.68/0.78 [29]~P1(x291,a3)
% 0.68/0.78 [33]~P2(x332,x331)+P3(x331,x332)
% 0.68/0.78 [34]~P2(x341,x342)+P3(x341,x342)
% 0.68/0.78 [31]~E(x311,x312)+P1(x311,f8(x312))
% 0.68/0.78 [32]E(x321,x322)+~P1(x321,f8(x322))
% 0.68/0.78 [35]~P3(x351,x352)+P1(x351,f9(x352))
% 0.68/0.78 [38]P3(x381,x382)+~P1(x381,f9(x382))
% 0.68/0.78 [39]P3(x391,x392)+P1(f5(x391,x392),x391)
% 0.68/0.78 [42]P1(f6(x421,x422),x422)+P1(x421,f11(x422))
% 0.68/0.78 [48]~P1(x481,f14(x482))+P1(x481,f7(x481,x482))
% 0.68/0.78 [49]~P1(x491,f14(x492))+P1(f7(x491,x492),x492)
% 0.68/0.78 [54]P3(x541,x542)+~P1(f5(x541,x542),x542)
% 0.68/0.78 [55]~P1(x551,f6(x551,x552))+P1(x551,f11(x552))
% 0.68/0.78 [36]~E(x361,x363)+P1(x361,f12(x362,x363))
% 0.68/0.78 [37]~E(x371,x372)+P1(x371,f12(x372,x373))
% 0.68/0.78 [43]~P1(x431,x433)+P1(x431,f13(x432,x433))
% 0.68/0.78 [44]~P1(x441,x442)+P1(x441,f13(x442,x443))
% 0.68/0.78 [51]P1(x511,x512)+~P1(x511,f10(x513,x512))
% 0.68/0.78 [52]P1(x521,x522)+~P1(x521,f10(x522,x523))
% 0.68/0.78 [53]P1(x531,x532)+~P1(x531,f4(x532,x533))
% 0.68/0.78 [57]~P1(x571,x572)+~P1(x571,f4(x573,x572))
% 0.68/0.78 [41]~P3(x412,x411)+~P3(x411,x412)+P2(x411,x412)
% 0.68/0.78 [40]~P1(x401,x403)+P1(x401,x402)+~P3(x403,x402)
% 0.68/0.78 [45]~P1(x453,x452)+~P1(x451,x453)+P1(x451,f14(x452))
% 0.68/0.78 [46]E(x461,x462)+E(x461,x463)+~P1(x461,f12(x463,x462))
% 0.68/0.78 [47]P1(x471,x472)+~P1(x472,x473)+~P1(x471,f11(x473))
% 0.68/0.78 [50]~P1(x501,x503)+P1(x501,x502)+P1(x501,f4(x503,x502))
% 0.68/0.78 [56]~P1(x561,x563)+~P1(x561,x562)+P1(x561,f10(x562,x563))
% 0.68/0.78 [58]P1(x581,x582)+P1(x581,x583)+~P1(x581,f13(x583,x582))
% 0.68/0.78 %EqnAxiom
% 0.68/0.78 [1]E(x11,x11)
% 0.68/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.68/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.68/0.78 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.68/0.78 [5]~E(x51,x52)+E(f13(x51,x53),f13(x52,x53))
% 0.68/0.78 [6]~E(x61,x62)+E(f13(x63,x61),f13(x63,x62))
% 0.68/0.78 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.68/0.78 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.68/0.78 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 0.68/0.78 [10]~E(x101,x102)+E(f12(x101,x103),f12(x102,x103))
% 0.68/0.78 [11]~E(x111,x112)+E(f12(x113,x111),f12(x113,x112))
% 0.68/0.78 [12]~E(x121,x122)+E(f10(x121,x123),f10(x122,x123))
% 0.68/0.78 [13]~E(x131,x132)+E(f10(x133,x131),f10(x133,x132))
% 0.68/0.78 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 0.68/0.78 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 0.68/0.78 [16]~E(x161,x162)+E(f7(x161,x163),f7(x162,x163))
% 0.68/0.78 [17]~E(x171,x172)+E(f7(x173,x171),f7(x173,x172))
% 0.68/0.78 [18]~E(x181,x182)+E(f11(x181),f11(x182))
% 0.68/0.78 [19]~E(x191,x192)+E(f6(x191,x193),f6(x192,x193))
% 0.68/0.78 [20]~E(x201,x202)+E(f6(x203,x201),f6(x203,x202))
% 0.68/0.78 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 0.68/0.78 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.68/0.78 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.68/0.78 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.68/0.78 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.68/0.78 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.68/0.78 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.68/0.78
% 0.68/0.78 %-------------------------------------------
% 0.68/0.79 cnf(165,plain,
% 0.68/0.79 (~P1(f5(f8(a1),a2),f4(a2,x1651))),
% 0.68/0.79 inference(scs_inference,[],[30,53,54])).
% 0.68/0.79 cnf(170,plain,
% 0.68/0.79 (~E(a1,f5(f8(a1),a2))),
% 0.68/0.79 inference(scs_inference,[],[28,29,165,50,22])).
% 0.68/0.79 cnf(233,plain,
% 0.68/0.79 (~P1(f5(f8(a1),a2),f8(a1))),
% 0.68/0.79 inference(scs_inference,[],[170,2,32])).
% 0.68/0.79 cnf(234,plain,
% 0.68/0.79 ($false),
% 0.68/0.79 inference(scs_inference,[],[30,233,39]),
% 0.68/0.79 ['proof']).
% 0.68/0.79 % SZS output end Proof
% 0.68/0.79 % Total time :0.290000s
%------------------------------------------------------------------------------