%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET688+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 : 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 : Mon Jun 24 14:22:14 EDT 2024
% Result : Theorem 0.58s 0.67s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET688+4 : TPTP v8.2.0. Released v2.2.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 15:57:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.58/0.67 %-------------------------------------------
% 0.58/0.67 % File :CSE---1.7
% 0.58/0.67 % Problem :theBenchmark
% 0.58/0.67 % Transform :cnf
% 0.58/0.67 % Format :tptp:raw
% 0.58/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.67
% 0.58/0.67 % Result :Theorem 0.070000s
% 0.58/0.67 % Output :CNFRefutation 0.070000s
% 0.58/0.67 %-------------------------------------------
% 0.58/0.67 %--------------------------------------------------------------------------
% 0.58/0.67 % File : SET688+4 : TPTP v8.2.0. Released v2.2.0.
% 0.58/0.67 % Domain : Set Theory (Naive)
% 0.58/0.67 % Problem : Property of proper subset
% 0.58/0.67 % Version : [Pas99] axioms.
% 0.58/0.67 % English : If A is a proper subset of B and B a proper subset of C, then
% 0.58/0.67 % A is not equal to C.
% 0.58/0.67
% 0.58/0.67 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.58/0.67 % Source : [Pas99]
% 0.58/0.67 % Names :
% 0.58/0.67
% 0.58/0.67 % Status : Theorem
% 0.58/0.67 % 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, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 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 v2.2.1
% 0.58/0.67 % Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% 0.58/0.67 % Number of atoms : 34 ( 3 equ)
% 0.58/0.67 % Maximal formula atoms : 5 ( 2 avg)
% 0.58/0.67 % Number of connectives : 27 ( 5 ~; 2 |; 7 &)
% 0.58/0.67 % ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% 0.58/0.67 % Maximal formula depth : 9 ( 6 avg)
% 0.58/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.58/0.67 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 0.58/0.67 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.58/0.67 % Number of variables : 31 ( 30 !; 1 ?)
% 0.58/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.58/0.67
% 0.58/0.67 % Comments :
% 0.58/0.67 %--------------------------------------------------------------------------
% 0.58/0.67 %----Include set theory definitions
% 0.58/0.67 include('Axioms/SET006+0.ax').
% 0.58/0.67 %--------------------------------------------------------------------------
% 0.58/0.67 fof(thI04,conjecture,
% 0.58/0.67 ! [A,B,C] :
% 0.58/0.67 ( ( subset(A,B)
% 0.58/0.67 & ~ equal_set(A,B)
% 0.58/0.67 & subset(B,C)
% 0.58/0.67 & ~ equal_set(B,C) )
% 0.58/0.67 => ~ equal_set(A,C) ) ).
% 0.58/0.67
% 0.58/0.67 %--------------------------------------------------------------------------
% 0.58/0.67 %-------------------------------------------
% 0.58/0.67 % Proof found
% 0.58/0.67 % SZS status Theorem for theBenchmark
% 0.58/0.67 % SZS output start Proof
% 0.58/0.67 %ClaNum:61(EqnAxiom:27)
% 0.58/0.67 %VarNum:147(SingletonVarNum:72)
% 0.58/0.67 %MaxLitNum:3
% 0.58/0.67 %MaxfuncDepth:1
% 0.58/0.67 %SharedTerms:9
% 0.58/0.67 %goalClause: 28 29 30 31 32
% 0.58/0.67 %singleGoalClaCount:5
% 0.58/0.67 [28]P1(a1,a7)
% 0.58/0.67 [29]P1(a7,a8)
% 0.58/0.67 [30]P2(a1,a8)
% 0.58/0.67 [31]~P2(a1,a7)
% 0.58/0.67 [32]~P2(a7,a8)
% 0.58/0.67 [33]~P3(x331,a2)
% 0.58/0.67 [36]~P2(x362,x361)+P1(x361,x362)
% 0.58/0.67 [37]~P2(x371,x372)+P1(x371,x372)
% 0.58/0.67 [34]~E(x341,x342)+P3(x341,f9(x342))
% 0.58/0.67 [35]E(x351,x352)+~P3(x351,f9(x352))
% 0.58/0.67 [38]~P1(x381,x382)+P3(x381,f10(x382))
% 0.58/0.67 [41]P1(x411,x412)+~P3(x411,f10(x412))
% 0.58/0.67 [42]P1(x421,x422)+P3(f4(x421,x422),x421)
% 0.58/0.67 [45]P3(f5(x451,x452),x452)+P3(x451,f12(x452))
% 0.58/0.67 [51]~P3(x511,f15(x512))+P3(x511,f6(x511,x512))
% 0.58/0.67 [52]~P3(x521,f15(x522))+P3(f6(x521,x522),x522)
% 0.58/0.67 [57]P1(x571,x572)+~P3(f4(x571,x572),x572)
% 0.58/0.67 [58]~P3(x581,f5(x581,x582))+P3(x581,f12(x582))
% 0.58/0.67 [39]~E(x391,x393)+P3(x391,f13(x392,x393))
% 0.58/0.67 [40]~E(x401,x402)+P3(x401,f13(x402,x403))
% 0.58/0.67 [46]~P3(x461,x463)+P3(x461,f14(x462,x463))
% 0.58/0.67 [47]~P3(x471,x472)+P3(x471,f14(x472,x473))
% 0.58/0.67 [54]P3(x541,x542)+~P3(x541,f11(x543,x542))
% 0.58/0.67 [55]P3(x551,x552)+~P3(x551,f11(x552,x553))
% 0.58/0.67 [56]P3(x561,x562)+~P3(x561,f3(x562,x563))
% 0.58/0.67 [60]~P3(x601,x602)+~P3(x601,f3(x603,x602))
% 0.58/0.67 [44]~P1(x442,x441)+~P1(x441,x442)+P2(x441,x442)
% 0.58/0.67 [43]~P3(x431,x433)+P3(x431,x432)+~P1(x433,x432)
% 0.58/0.67 [48]~P3(x483,x482)+~P3(x481,x483)+P3(x481,f15(x482))
% 0.58/0.67 [49]E(x491,x492)+E(x491,x493)+~P3(x491,f13(x493,x492))
% 0.58/0.67 [50]P3(x501,x502)+~P3(x502,x503)+~P3(x501,f12(x503))
% 0.58/0.67 [53]~P3(x531,x533)+P3(x531,x532)+P3(x531,f3(x533,x532))
% 0.58/0.67 [59]~P3(x591,x593)+~P3(x591,x592)+P3(x591,f11(x592,x593))
% 0.58/0.67 [61]P3(x611,x612)+P3(x611,x613)+~P3(x611,f14(x613,x612))
% 0.58/0.67 %EqnAxiom
% 0.58/0.67 [1]E(x11,x11)
% 0.58/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.67 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 0.58/0.67 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 0.58/0.67 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 0.58/0.67 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 0.58/0.67 [8]~E(x81,x82)+E(f13(x81,x83),f13(x82,x83))
% 0.58/0.67 [9]~E(x91,x92)+E(f13(x93,x91),f13(x93,x92))
% 0.58/0.67 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.58/0.67 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.58/0.67 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.58/0.67 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.58/0.67 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.58/0.67 [15]~E(x151,x152)+E(f3(x151,x153),f3(x152,x153))
% 0.58/0.67 [16]~E(x161,x162)+E(f3(x163,x161),f3(x163,x162))
% 0.58/0.67 [17]~E(x171,x172)+E(f11(x171,x173),f11(x172,x173))
% 0.58/0.68 [18]~E(x181,x182)+E(f11(x183,x181),f11(x183,x182))
% 0.58/0.68 [19]~E(x191,x192)+E(f15(x191),f15(x192))
% 0.58/0.68 [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 0.58/0.68 [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 0.58/0.68 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.58/0.68 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.58/0.68 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.58/0.68 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.58/0.68 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.58/0.68 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.58/0.68
% 0.58/0.68 %-------------------------------------------
% 0.58/0.68 cnf(63,plain,
% 0.58/0.68 (P3(x631,f13(x632,x631))),
% 0.58/0.68 inference(equality_inference,[],[39])).
% 0.58/0.68 cnf(66,plain,
% 0.58/0.68 (~P3(x661,a2)),
% 0.58/0.68 inference(rename_variables,[],[33])).
% 0.58/0.68 cnf(68,plain,
% 0.58/0.68 (~P3(x681,f15(a2))),
% 0.58/0.68 inference(scs_inference,[],[33,66,42,52])).
% 0.58/0.68 cnf(71,plain,
% 0.58/0.68 (~P1(a7,a1)),
% 0.58/0.68 inference(scs_inference,[],[28,31,33,66,42,52,44])).
% 0.58/0.68 cnf(86,plain,
% 0.58/0.68 (~P3(x861,f15(a2))),
% 0.58/0.68 inference(rename_variables,[],[68])).
% 0.58/0.68 cnf(89,plain,
% 0.58/0.68 (~P3(x891,f15(a2))),
% 0.58/0.68 inference(rename_variables,[],[68])).
% 0.58/0.68 cnf(98,plain,
% 0.58/0.68 (~P3(x981,a7)+P3(x981,a8)),
% 0.58/0.68 inference(scs_inference,[],[28,29,32,63,68,86,89,52,42,44,25,22,37,43])).
% 0.58/0.68 cnf(99,plain,
% 0.58/0.68 (~P1(x991,x992)+~P3(x993,x991)+P3(x993,x992)),
% 0.58/0.68 inference(rename_variables,[],[43])).
% 0.58/0.68 cnf(100,plain,
% 0.58/0.68 (~P3(x1001,a1)+P3(x1001,a8)),
% 0.58/0.68 inference(scs_inference,[],[28,29,32,63,68,86,89,52,42,44,25,22,37,43,99])).
% 0.58/0.68 cnf(145,plain,
% 0.58/0.68 (P3(a8,f10(a1))),
% 0.58/0.68 inference(scs_inference,[],[30,36,38])).
% 0.58/0.68 cnf(150,plain,
% 0.58/0.68 (~P3(x1501,a8)+P3(x1501,a1)),
% 0.58/0.68 inference(scs_inference,[],[145,68,41,25,43])).
% 0.58/0.68 cnf(163,plain,
% 0.58/0.68 (~P3(f4(a7,a1),a8)),
% 0.58/0.68 inference(scs_inference,[],[71,150,57])).
% 0.58/0.68 cnf(168,plain,
% 0.58/0.68 ($false),
% 0.58/0.68 inference(scs_inference,[],[71,163,98,100,42]),
% 0.58/0.68 ['proof']).
% 0.58/0.68 % SZS output end Proof
% 0.58/0.68 % Total time :0.070000s
%------------------------------------------------------------------------------