TSTP Solution File: SET602+4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 14:30:19 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 09:04:47 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.020000s
% 0.19/0.64 % Output :CNFRefutation 0.020000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 % File : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 0.19/0.64 % Domain : Set Theory (Naive)
% 0.19/0.64 % Problem : The difference of X and X is the empty set
% 0.19/0.64 % Version : [Pas99] axioms.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.19/0.64 % Source : [Pas99]
% 0.19/0.64 % Names :
% 0.19/0.64
% 0.19/0.64 % Status : Theorem
% 0.19/0.64 % Rating : 0.22 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.33 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0, 0.37 v3.3.0, 0.29 v3.2.0, 0.36 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.29 v2.5.0, 0.25 v2.4.0, 0.25 v2.3.0, 0.00 v2.2.1
% 0.19/0.64 % Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% 0.19/0.64 % Number of atoms : 30 ( 3 equ)
% 0.19/0.64 % Maximal formula atoms : 3 ( 2 avg)
% 0.19/0.64 % Number of connectives : 20 ( 2 ~; 2 |; 4 &)
% 0.19/0.64 % ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.64 % Maximal formula depth : 7 ( 5 avg)
% 0.19/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.64 % Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% 0.19/0.64 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.19/0.64 % Number of variables : 29 ( 28 !; 1 ?)
% 0.19/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %----Include set theory definitions
% 0.19/0.64 include('Axioms/SET006+0.ax').
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 fof(thI29,conjecture,
% 0.19/0.64 ! [E] : equal_set(difference(E,E),empty_set) ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:57(EqnAxiom:27)
% 0.19/0.65 %VarNum:147(SingletonVarNum:72)
% 0.19/0.65 %MaxLitNum:3
% 0.19/0.65 %MaxfuncDepth:1
% 0.19/0.65 %SharedTerms:4
% 0.19/0.65 %goalClause: 29
% 0.19/0.65 %singleGoalClaCount:1
% 0.19/0.65 [29]~P2(f2(a3,a3),a1)
% 0.19/0.65 [28]~P1(x281,a1)
% 0.19/0.65 [32]~P2(x322,x321)+P3(x321,x322)
% 0.19/0.65 [33]~P2(x331,x332)+P3(x331,x332)
% 0.19/0.65 [30]~E(x301,x302)+P1(x301,f7(x302))
% 0.19/0.65 [31]E(x311,x312)+~P1(x311,f7(x312))
% 0.19/0.65 [34]~P3(x341,x342)+P1(x341,f8(x342))
% 0.19/0.65 [37]P3(x371,x372)+~P1(x371,f8(x372))
% 0.19/0.65 [38]P3(x381,x382)+P1(f4(x381,x382),x381)
% 0.19/0.65 [41]P1(f5(x411,x412),x412)+P1(x411,f10(x412))
% 0.19/0.65 [47]~P1(x471,f13(x472))+P1(x471,f6(x471,x472))
% 0.19/0.65 [48]~P1(x481,f13(x482))+P1(f6(x481,x482),x482)
% 0.19/0.65 [53]P3(x531,x532)+~P1(f4(x531,x532),x532)
% 0.19/0.65 [54]~P1(x541,f5(x541,x542))+P1(x541,f10(x542))
% 0.19/0.65 [35]~E(x351,x353)+P1(x351,f11(x352,x353))
% 0.19/0.65 [36]~E(x361,x362)+P1(x361,f11(x362,x363))
% 0.19/0.65 [42]~P1(x421,x423)+P1(x421,f12(x422,x423))
% 0.19/0.65 [43]~P1(x431,x432)+P1(x431,f12(x432,x433))
% 0.19/0.65 [50]P1(x501,x502)+~P1(x501,f9(x503,x502))
% 0.19/0.65 [51]P1(x511,x512)+~P1(x511,f9(x512,x513))
% 0.19/0.65 [52]P1(x521,x522)+~P1(x521,f2(x522,x523))
% 0.19/0.65 [56]~P1(x561,x562)+~P1(x561,f2(x563,x562))
% 0.19/0.65 [40]~P3(x402,x401)+~P3(x401,x402)+P2(x401,x402)
% 0.19/0.65 [39]~P1(x391,x393)+P1(x391,x392)+~P3(x393,x392)
% 0.19/0.65 [44]~P1(x443,x442)+~P1(x441,x443)+P1(x441,f13(x442))
% 0.19/0.65 [45]E(x451,x452)+E(x451,x453)+~P1(x451,f11(x453,x452))
% 0.19/0.65 [46]P1(x461,x462)+~P1(x462,x463)+~P1(x461,f10(x463))
% 0.19/0.65 [49]~P1(x491,x493)+P1(x491,x492)+P1(x491,f2(x493,x492))
% 0.19/0.65 [55]~P1(x551,x553)+~P1(x551,x552)+P1(x551,f9(x552,x553))
% 0.19/0.65 [57]P1(x571,x572)+P1(x571,x573)+~P1(x571,f12(x573,x572))
% 0.19/0.65 %EqnAxiom
% 0.19/0.65 [1]E(x11,x11)
% 0.19/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.65 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.19/0.65 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.19/0.65 [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 0.19/0.65 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.19/0.65 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.19/0.65 [9]~E(x91,x92)+E(f8(x91),f8(x92))
% 0.19/0.65 [10]~E(x101,x102)+E(f11(x101,x103),f11(x102,x103))
% 0.19/0.65 [11]~E(x111,x112)+E(f11(x113,x111),f11(x113,x112))
% 0.19/0.65 [12]~E(x121,x122)+E(f9(x121,x123),f9(x122,x123))
% 0.19/0.65 [13]~E(x131,x132)+E(f9(x133,x131),f9(x133,x132))
% 0.19/0.65 [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 0.19/0.65 [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 0.19/0.65 [16]~E(x161,x162)+E(f13(x161),f13(x162))
% 0.19/0.65 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.19/0.65 [18]~E(x181,x182)+E(f6(x181,x183),f6(x182,x183))
% 0.19/0.65 [19]~E(x191,x192)+E(f6(x193,x191),f6(x193,x192))
% 0.19/0.65 [20]~E(x201,x202)+E(f12(x201,x203),f12(x202,x203))
% 0.19/0.65 [21]~E(x211,x212)+E(f12(x213,x211),f12(x213,x212))
% 0.19/0.65 [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.19/0.65 [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.19/0.65 [24]P2(x242,x243)+~E(x241,x242)+~P2(x241,x243)
% 0.19/0.65 [25]P2(x253,x252)+~E(x251,x252)+~P2(x253,x251)
% 0.19/0.65 [26]P3(x262,x263)+~E(x261,x262)+~P3(x261,x263)
% 0.19/0.65 [27]P3(x273,x272)+~E(x271,x272)+~P3(x273,x271)
% 0.19/0.65
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 cnf(58,plain,
% 0.19/0.65 (P3(a1,x581)),
% 0.19/0.65 inference(scs_inference,[],[28,38])).
% 0.19/0.65 cnf(59,plain,
% 0.19/0.65 (~P1(x591,a1)),
% 0.19/0.65 inference(rename_variables,[],[28])).
% 0.19/0.65 cnf(60,plain,
% 0.19/0.65 (~P1(x601,f13(a1))),
% 0.19/0.65 inference(scs_inference,[],[28,59,38,48])).
% 0.19/0.65 cnf(61,plain,
% 0.19/0.65 (~P1(x611,a1)),
% 0.19/0.65 inference(rename_variables,[],[28])).
% 0.19/0.65 cnf(65,plain,
% 0.19/0.65 (~P1(x651,f2(a1,x652))),
% 0.19/0.65 inference(scs_inference,[],[28,59,61,38,48,40,52])).
% 0.19/0.65 cnf(73,plain,
% 0.19/0.65 (P1(x731,f10(a1))),
% 0.19/0.65 inference(scs_inference,[],[28,59,61,38,48,40,52,51,50,34,41])).
% 0.19/0.65 cnf(74,plain,
% 0.19/0.65 (~P1(x741,a1)),
% 0.19/0.65 inference(rename_variables,[],[28])).
% 0.19/0.65 cnf(77,plain,
% 0.19/0.65 (~E(a1,f2(a3,a3))),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,38,48,40,52,51,50,34,41,25,24])).
% 0.19/0.65 cnf(78,plain,
% 0.19/0.65 (~E(f8(a1),a1)),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,74,38,48,40,52,51,50,34,41,25,24,23])).
% 0.19/0.65 cnf(79,plain,
% 0.19/0.65 (~P1(x791,a1)),
% 0.19/0.65 inference(rename_variables,[],[28])).
% 0.19/0.65 cnf(80,plain,
% 0.19/0.65 (~P3(f8(a1),a1)),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,74,79,38,48,40,52,51,50,34,41,25,24,23,39])).
% 0.19/0.65 cnf(81,plain,
% 0.19/0.65 (~P1(x811,a1)),
% 0.19/0.65 inference(rename_variables,[],[28])).
% 0.19/0.65 cnf(83,plain,
% 0.19/0.65 (~P1(x831,f10(f8(a1)))),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,74,79,81,38,48,40,52,51,50,34,41,25,24,23,39,46])).
% 0.19/0.65 cnf(85,plain,
% 0.19/0.65 (P1(a1,f13(f10(a1)))),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,74,79,81,38,48,40,52,51,50,34,41,25,24,23,39,46,44])).
% 0.19/0.65 cnf(100,plain,
% 0.19/0.65 (~P1(a1,f5(a1,f8(a1)))),
% 0.19/0.65 inference(scs_inference,[],[29,28,59,61,74,79,81,38,48,40,52,51,50,34,41,25,24,23,39,46,44,57,55,49,45,33,32,54])).
% 0.19/0.65 cnf(117,plain,
% 0.19/0.65 (P1(f5(x1171,f8(a1)),f8(a1))),
% 0.19/0.65 inference(scs_inference,[],[83,77,73,58,85,80,2,56,43,42,37,31,47,26,41])).
% 0.19/0.65 cnf(120,plain,
% 0.19/0.65 (~P1(x1201,f2(a1,x1202))),
% 0.19/0.65 inference(rename_variables,[],[65])).
% 0.19/0.65 cnf(127,plain,
% 0.19/0.65 (P1(x1271,f10(a1))),
% 0.19/0.65 inference(rename_variables,[],[73])).
% 0.19/0.65 cnf(131,plain,
% 0.19/0.65 (~P3(f10(a1),f2(a1,x1311))),
% 0.19/0.65 inference(scs_inference,[],[28,65,120,83,77,73,127,58,85,78,80,2,56,43,42,37,31,47,26,41,49,45,38,46,57,39])).
% 0.19/0.65 cnf(134,plain,
% 0.19/0.65 (P3(x1341,f10(a1))),
% 0.19/0.65 inference(scs_inference,[],[28,65,120,83,77,73,127,58,85,78,80,2,56,43,42,37,31,47,26,41,49,45,38,46,57,39,53])).
% 0.19/0.65 cnf(141,plain,
% 0.19/0.65 (~P3(f2(a3,a3),a1)+~P3(a1,f2(a3,a3))),
% 0.19/0.65 inference(scs_inference,[],[29,28,65,120,83,77,73,127,100,58,85,78,80,2,56,43,42,37,31,47,26,41,49,45,38,46,57,39,53,27,22,23,40])).
% 0.19/0.65 cnf(145,plain,
% 0.19/0.65 (P3(a1,x1451)),
% 0.19/0.65 inference(rename_variables,[],[58])).
% 0.19/0.65 cnf(146,plain,
% 0.19/0.65 (P1(x1461,f10(f13(a1)))),
% 0.19/0.65 inference(scs_inference,[],[58,131,60,26,41])).
% 0.19/0.65 cnf(147,plain,
% 0.19/0.65 (~P1(x1471,f13(a1))),
% 0.19/0.65 inference(rename_variables,[],[60])).
% 0.19/0.65 cnf(155,plain,
% 0.19/0.65 (P3(f13(a1),x1551)),
% 0.19/0.65 inference(scs_inference,[],[58,134,117,131,60,147,26,41,37,40,38])).
% 0.19/0.65 cnf(160,plain,
% 0.19/0.65 (~P3(f2(a3,a3),a1)),
% 0.19/0.65 inference(scs_inference,[],[28,58,145,134,117,131,60,147,26,41,37,40,38,39,141])).
% 0.19/0.65 cnf(183,plain,
% 0.19/0.65 ($false),
% 0.19/0.65 inference(scs_inference,[],[28,58,146,155,160,37,40,38,39,52,56]),
% 0.19/0.65 ['proof']).
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------