%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET689+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 : n022.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 1.74s 1.79s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET689+4 : TPTP v8.2.0. Released v2.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n022.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 : Sun Jun 23 12:23:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.73/1.79 %-------------------------------------------
% 1.73/1.79 % File :CSE---1.7
% 1.73/1.79 % Problem :theBenchmark
% 1.73/1.79 % Transform :cnf
% 1.73/1.79 % Format :tptp:raw
% 1.73/1.79 % Command :java -jar mcs_scs.jar %d %s
% 1.73/1.79
% 1.73/1.79 % Result :Theorem 1.170000s
% 1.73/1.79 % Output :CNFRefutation 1.170000s
% 1.73/1.79 %-------------------------------------------
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 % File : SET689+4 : TPTP v8.2.0. Released v2.2.0.
% 1.74/1.79 % Domain : Set Theory (Naive)
% 1.74/1.79 % Problem : Property of subset
% 1.74/1.79 % Version : [Pas99] axioms.
% 1.74/1.79 % English : If A is a subset of B,B a subset of C and C a subset of A,
% 1.74/1.79 % then A is equal to C.
% 1.74/1.79
% 1.74/1.79 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 1.74/1.79 % Source : [Pas99]
% 1.74/1.79 % Names :
% 1.74/1.79
% 1.74/1.79 % Status : Theorem
% 1.74/1.79 % Rating : 0.11 v8.2.0, 0.14 v8.1.0, 0.11 v7.5.0, 0.09 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.09 v4.0.0, 0.12 v3.7.0, 0.20 v3.5.0, 0.16 v3.4.0, 0.26 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.00 v2.5.0, 0.12 v2.4.0, 0.00 v2.2.1
% 1.74/1.79 % Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% 1.74/1.79 % Number of atoms : 33 ( 3 equ)
% 1.74/1.79 % Maximal formula atoms : 4 ( 2 avg)
% 1.74/1.79 % Number of connectives : 23 ( 2 ~; 2 |; 6 &)
% 1.74/1.79 % ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% 1.74/1.79 % Maximal formula depth : 7 ( 6 avg)
% 1.74/1.79 % Maximal term depth : 2 ( 1 avg)
% 1.74/1.79 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 1.74/1.79 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 1.74/1.79 % Number of variables : 31 ( 30 !; 1 ?)
% 1.74/1.79 % SPC : FOF_THM_RFO_SEQ
% 1.74/1.79
% 1.74/1.79 % Comments :
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 %----Include set theory definitions
% 1.74/1.79 include('Axioms/SET006+0.ax').
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 fof(thI05,conjecture,
% 1.74/1.79 ! [A,B,C] :
% 1.74/1.79 ( ( subset(A,B)
% 1.74/1.79 & subset(B,C)
% 1.74/1.79 & subset(C,A) )
% 1.74/1.79 => equal_set(A,C) ) ).
% 1.74/1.79
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 %-------------------------------------------
% 1.74/1.79 % Proof found
% 1.74/1.79 % SZS status Theorem for theBenchmark
% 1.74/1.79 % SZS output start Proof
% 1.74/1.79 %ClaNum:60(EqnAxiom:27)
% 1.74/1.79 %VarNum:147(SingletonVarNum:72)
% 1.74/1.79 %MaxLitNum:3
% 1.74/1.79 %MaxfuncDepth:1
% 1.74/1.79 %SharedTerms:8
% 1.74/1.79 %goalClause: 28 29 30 31
% 1.74/1.79 %singleGoalClaCount:4
% 1.74/1.79 [28]P1(a1,a7)
% 1.74/1.79 [29]P1(a7,a8)
% 1.74/1.79 [30]P1(a8,a1)
% 1.74/1.79 [31]~P2(a1,a8)
% 1.74/1.79 [32]~P3(x321,a2)
% 1.74/1.79 [35]~P2(x352,x351)+P1(x351,x352)
% 1.74/1.79 [36]~P2(x361,x362)+P1(x361,x362)
% 1.74/1.79 [33]~E(x331,x332)+P3(x331,f9(x332))
% 1.74/1.79 [34]E(x341,x342)+~P3(x341,f9(x342))
% 1.74/1.79 [37]~P1(x371,x372)+P3(x371,f10(x372))
% 1.74/1.79 [40]P1(x401,x402)+~P3(x401,f10(x402))
% 1.74/1.79 [41]P1(x411,x412)+P3(f4(x411,x412),x411)
% 1.74/1.79 [44]P3(f5(x441,x442),x442)+P3(x441,f12(x442))
% 1.74/1.79 [50]~P3(x501,f15(x502))+P3(x501,f6(x501,x502))
% 1.74/1.79 [51]~P3(x511,f15(x512))+P3(f6(x511,x512),x512)
% 1.74/1.80 [56]P1(x561,x562)+~P3(f4(x561,x562),x562)
% 1.74/1.80 [57]~P3(x571,f5(x571,x572))+P3(x571,f12(x572))
% 1.74/1.80 [38]~E(x381,x383)+P3(x381,f13(x382,x383))
% 1.74/1.80 [39]~E(x391,x392)+P3(x391,f13(x392,x393))
% 1.74/1.80 [45]~P3(x451,x453)+P3(x451,f14(x452,x453))
% 1.74/1.80 [46]~P3(x461,x462)+P3(x461,f14(x462,x463))
% 1.74/1.80 [53]P3(x531,x532)+~P3(x531,f11(x533,x532))
% 1.74/1.80 [54]P3(x541,x542)+~P3(x541,f11(x542,x543))
% 1.74/1.80 [55]P3(x551,x552)+~P3(x551,f3(x552,x553))
% 1.74/1.80 [59]~P3(x591,x592)+~P3(x591,f3(x593,x592))
% 1.74/1.80 [43]~P1(x432,x431)+~P1(x431,x432)+P2(x431,x432)
% 1.74/1.80 [42]~P3(x421,x423)+P3(x421,x422)+~P1(x423,x422)
% 1.74/1.80 [47]~P3(x473,x472)+~P3(x471,x473)+P3(x471,f15(x472))
% 1.74/1.80 [48]E(x481,x482)+E(x481,x483)+~P3(x481,f13(x483,x482))
% 1.74/1.80 [49]P3(x491,x492)+~P3(x492,x493)+~P3(x491,f12(x493))
% 1.74/1.80 [52]~P3(x521,x523)+P3(x521,x522)+P3(x521,f3(x523,x522))
% 1.74/1.80 [58]~P3(x581,x583)+~P3(x581,x582)+P3(x581,f11(x582,x583))
% 1.74/1.80 [60]P3(x601,x602)+P3(x601,x603)+~P3(x601,f14(x603,x602))
% 1.74/1.80 %EqnAxiom
% 1.74/1.80 [1]E(x11,x11)
% 1.74/1.80 [2]E(x22,x21)+~E(x21,x22)
% 1.74/1.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.74/1.80 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 1.74/1.80 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 1.74/1.80 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 1.74/1.80 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 1.74/1.80 [8]~E(x81,x82)+E(f13(x81,x83),f13(x82,x83))
% 1.74/1.80 [9]~E(x91,x92)+E(f13(x93,x91),f13(x93,x92))
% 1.74/1.80 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 1.74/1.80 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 1.74/1.80 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 1.74/1.80 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 1.74/1.80 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 1.74/1.80 [15]~E(x151,x152)+E(f3(x151,x153),f3(x152,x153))
% 1.74/1.80 [16]~E(x161,x162)+E(f3(x163,x161),f3(x163,x162))
% 1.74/1.80 [17]~E(x171,x172)+E(f11(x171,x173),f11(x172,x173))
% 1.74/1.80 [18]~E(x181,x182)+E(f11(x183,x181),f11(x183,x182))
% 1.74/1.80 [19]~E(x191,x192)+E(f15(x191),f15(x192))
% 1.74/1.80 [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 1.74/1.80 [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 1.74/1.80 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 1.74/1.80 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 1.74/1.80 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 1.74/1.80 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 1.74/1.80 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 1.74/1.80 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 1.74/1.80
% 1.74/1.80 %-------------------------------------------
% 1.74/1.80 cnf(61,plain,
% 1.74/1.80 (P3(x611,f9(x611))),
% 1.74/1.80 inference(equality_inference,[],[33])).
% 1.74/1.80 cnf(65,plain,
% 1.74/1.80 (~P3(x651,a2)),
% 1.74/1.80 inference(rename_variables,[],[32])).
% 1.74/1.80 cnf(67,plain,
% 1.74/1.80 (~P3(x671,f15(a2))),
% 1.74/1.80 inference(scs_inference,[],[32,65,41,51])).
% 1.74/1.80 cnf(68,plain,
% 1.74/1.80 (~P3(x681,a2)),
% 1.74/1.80 inference(rename_variables,[],[32])).
% 1.74/1.80 cnf(74,plain,
% 1.74/1.80 (~P3(x741,a1)+P3(x741,a7)),
% 1.74/1.80 inference(scs_inference,[],[28,61,32,65,68,41,51,43,25,42])).
% 1.74/1.80 cnf(138,plain,
% 1.74/1.80 (~P3(x1381,a7)+P3(x1381,a8)),
% 1.74/1.80 inference(scs_inference,[],[29,42])).
% 1.74/1.80 cnf(198,plain,
% 1.74/1.80 (P3(x1981,f3(a8,f15(a2)))+~P3(x1981,a7)),
% 1.74/1.80 inference(scs_inference,[],[67,138,52])).
% 1.74/1.80 cnf(500,plain,
% 1.74/1.80 (P1(a1,x5001)+P3(f4(a1,x5001),a7)),
% 1.74/1.80 inference(scs_inference,[],[74,41])).
% 1.74/1.80 cnf(503,plain,
% 1.74/1.80 (P3(f4(a1,a8),a7)),
% 1.74/1.80 inference(scs_inference,[],[31,30,500,43])).
% 1.74/1.80 cnf(512,plain,
% 1.74/1.80 (P1(a1,a8)),
% 1.74/1.80 inference(scs_inference,[],[503,198,55,56])).
% 1.74/1.80 cnf(527,plain,
% 1.74/1.80 ($false),
% 1.74/1.80 inference(scs_inference,[],[30,31,512,43]),
% 1.74/1.80 ['proof']).
% 1.74/1.80 % SZS output end Proof
% 1.74/1.80 % Total time :1.170000s
%------------------------------------------------------------------------------