TSTP Solution File: PUZ001+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 13:10:49 EDT 2023
% Result : Theorem 0.53s 0.72s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 22:49:41 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.56 start to proof:theBenchmark
% 0.53/0.71 %-------------------------------------------
% 0.53/0.71 % File :CSE---1.6
% 0.53/0.71 % Problem :theBenchmark
% 0.53/0.71 % Transform :cnf
% 0.53/0.71 % Format :tptp:raw
% 0.53/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.71
% 0.53/0.71 % Result :Theorem 0.110000s
% 0.53/0.71 % Output :CNFRefutation 0.110000s
% 0.53/0.71 %-------------------------------------------
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 % File : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.53/0.72 % Domain : Puzzles
% 0.53/0.72 % Problem : Dreadbury Mansion
% 0.53/0.72 % Version : Especial.
% 0.53/0.72 % Theorem formulation : Converted from ACE by the APE [FKK08].
% 0.53/0.72 % English : Someone who lives in DreadburyMansion kills AuntAgatha. If
% 0.53/0.72 % somebody X lives in DreadburyMansion then X is AuntAgatha or X
% 0.53/0.72 % is the Butler or X is Charles. Everyone hates everyone that he
% 0.53/0.72 % kills. Noone is richer than someone that he kills. Charles hates
% 0.53/0.72 % noone who is hated by AuntAgatha. AuntAgatha does not hate the
% 0.53/0.72 % Butler. Everyone that is not the Butler is hated by AuntAgatha.
% 0.53/0.72 % The Butler hates everyone who is not richer than AuntAgatha. The
% 0.53/0.72 % Butler hates everyone who is hated by AuntAgatha. Noone hates
% 0.53/0.72 % everyone. AuntAgatha is not the Butler. Therefore, AuntAgatha
% 0.53/0.72 % kills AuntAgatha.
% 0.53/0.72
% 0.53/0.72 % Refs : [FKK08] Fuchs et al. (2008), Attempto Controlled English for K
% 0.53/0.72 % Source : [TPTP]
% 0.53/0.72 % Names :
% 0.53/0.72
% 0.53/0.72 % Status : Theorem
% 0.53/0.72 % Rating : 0.31 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.23 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.39 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.52 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.38 v4.1.0, 0.48 v4.0.1, 0.52 v4.0.0
% 0.53/0.72 % Syntax : Number of formulae : 2 ( 1 unt; 0 def)
% 0.53/0.72 % Number of atoms : 38 ( 7 equ)
% 0.53/0.72 % Maximal formula atoms : 37 ( 19 avg)
% 0.53/0.72 % Number of connectives : 43 ( 7 ~; 2 |; 24 &)
% 0.53/0.72 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.53/0.72 % Maximal formula depth : 23 ( 13 avg)
% 0.53/0.72 % Maximal term depth : 1 ( 1 avg)
% 0.53/0.72 % Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% 0.53/0.72 % Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% 0.53/0.72 % Number of variables : 29 ( 14 !; 15 ?)
% 0.53/0.72 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.72
% 0.53/0.72 % Comments :
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 fof(background,axiom,
% 0.53/0.72 ? [A,B,C] :
% 0.53/0.72 ( $true
% 0.53/0.72 & predicate1(B,live,A)
% 0.53/0.72 & modifier_pp(B,in,'DreadburyMansion')
% 0.53/0.72 & predicate2(C,kill,A,'AuntAgatha')
% 0.53/0.72 & ! [D,E] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & predicate1(E,live,D)
% 0.53/0.72 & modifier_pp(E,in,'DreadburyMansion') )
% 0.53/0.72 => ( D = 'AuntAgatha'
% 0.53/0.72 | D = 'Butler'
% 0.53/0.72 | D = 'Charles' ) )
% 0.53/0.72 & ! [F] :
% 0.53/0.72 ( $true
% 0.53/0.72 => ! [G,H] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & predicate2(H,kill,F,G) )
% 0.53/0.72 => ? [I] : predicate2(I,hate,F,G) ) )
% 0.53/0.72 & ! [J] :
% 0.53/0.72 ( $true
% 0.53/0.72 => ~ ? [K,L,M] :
% 0.53/0.72 ( $true
% 0.53/0.72 & predicate2(L,kill,J,K)
% 0.53/0.72 & property2(M,rich,comp_than,K)
% 0.53/0.72 & J = M ) )
% 0.53/0.72 & ! [N,O] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & predicate2(O,hate,'AuntAgatha',N) )
% 0.53/0.72 => ~ ? [P] : predicate2(P,hate,'Charles',N) )
% 0.53/0.72 & ~ ? [Q] : predicate2(Q,hate,'AuntAgatha','Butler')
% 0.53/0.72 & ! [R] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & R != 'Butler' )
% 0.53/0.72 => ? [S] : predicate2(S,hate,'AuntAgatha',R) )
% 0.53/0.72 & ! [T] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & ~ ? [U] :
% 0.53/0.72 ( property2(U,rich,comp_than,'AuntAgatha')
% 0.53/0.72 & T = U ) )
% 0.53/0.72 => ? [V] : predicate2(V,hate,'Butler',T) )
% 0.53/0.72 & ! [W,X] :
% 0.53/0.72 ( ( $true
% 0.53/0.72 & predicate2(X,hate,'AuntAgatha',W) )
% 0.53/0.72 => ? [Y] : predicate2(Y,hate,'Butler',W) )
% 0.53/0.72 & ! [Z] :
% 0.53/0.72 ( $true
% 0.53/0.72 => ~ ! [A1] :
% 0.53/0.72 ( $true
% 0.53/0.72 => ? [B1] : predicate2(B1,hate,Z,A1) ) )
% 0.53/0.72 & 'AuntAgatha' != 'Butler' ) ).
% 0.53/0.72
% 0.53/0.72 fof(prove,conjecture,
% 0.53/0.72 ? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') ).
% 0.53/0.72
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 % Proof found
% 0.53/0.72 % SZS status Theorem for theBenchmark
% 0.53/0.72 % SZS output start Proof
% 0.53/0.73 %ClaNum:41(EqnAxiom:26)
% 0.53/0.73 %VarNum:45(SingletonVarNum:21)
% 0.53/0.73 %MaxLitNum:5
% 0.53/0.73 %MaxfuncDepth:1
% 0.53/0.73 %SharedTerms:17
% 0.53/0.73 %goalClause: 31
% 0.53/0.73 %singleGoalClaCount:1
% 0.53/0.73 [27]P1(a1,a8,a2)
% 0.53/0.73 [28]P2(a1,a9,a3)
% 0.53/0.73 [29]P3(a10,a18,a2,a4)
% 0.53/0.73 [30]~E(a5,a4)
% 0.53/0.73 [31]~P3(x311,a18,a4,a4)
% 0.53/0.73 [32]~P3(x321,a11,a4,a5)
% 0.53/0.73 [33]~P3(x331,a11,x332,f12(x332))
% 0.53/0.73 [35]E(x351,a5)+P3(f13(x351),a11,a4,x351)
% 0.53/0.73 [36]E(f15(x361),x361)+P3(f16(x361),a11,a5,x361)
% 0.53/0.73 [37]P3(f16(x371),a11,a5,x371)+P4(f15(x371),a19,a7,a4)
% 0.53/0.73 [38]~P3(x382,a11,a4,x381)+P3(f17(x381,x382),a11,a5,x381)
% 0.53/0.73 [40]~P3(x401,a11,a6,x402)+~P3(x403,a11,a4,x402)
% 0.53/0.73 [39]~P3(x393,a18,x391,x392)+P3(f14(x391,x392,x393),a11,x391,x392)
% 0.53/0.73 [41]~E(x411,x412)+~P3(x413,a18,x411,x414)+~P4(x412,a19,a7,x414)
% 0.53/0.73 [34]~P1(x342,a8,x341)+E(x341,a5)+E(x341,a6)+E(x341,a4)+~P2(x342,a9,a3)
% 0.53/0.73 %EqnAxiom
% 0.53/0.73 [1]E(x11,x11)
% 0.53/0.73 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.73 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.53/0.73 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.53/0.73 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 0.53/0.73 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 0.53/0.73 [8]~E(x81,x82)+E(f17(x81,x83),f17(x82,x83))
% 0.53/0.73 [9]~E(x91,x92)+E(f17(x93,x91),f17(x93,x92))
% 0.53/0.73 [10]~E(x101,x102)+E(f14(x101,x103,x104),f14(x102,x103,x104))
% 0.53/0.73 [11]~E(x111,x112)+E(f14(x113,x111,x114),f14(x113,x112,x114))
% 0.53/0.73 [12]~E(x121,x122)+E(f14(x123,x124,x121),f14(x123,x124,x122))
% 0.53/0.73 [13]P1(x132,x133,x134)+~E(x131,x132)+~P1(x131,x133,x134)
% 0.53/0.73 [14]P1(x143,x142,x144)+~E(x141,x142)+~P1(x143,x141,x144)
% 0.53/0.73 [15]P1(x153,x154,x152)+~E(x151,x152)+~P1(x153,x154,x151)
% 0.53/0.73 [16]P2(x162,x163,x164)+~E(x161,x162)+~P2(x161,x163,x164)
% 0.53/0.73 [17]P2(x173,x172,x174)+~E(x171,x172)+~P2(x173,x171,x174)
% 0.53/0.73 [18]P2(x183,x184,x182)+~E(x181,x182)+~P2(x183,x184,x181)
% 0.53/0.73 [19]P3(x192,x193,x194,x195)+~E(x191,x192)+~P3(x191,x193,x194,x195)
% 0.53/0.73 [20]P3(x203,x202,x204,x205)+~E(x201,x202)+~P3(x203,x201,x204,x205)
% 0.53/0.73 [21]P3(x213,x214,x212,x215)+~E(x211,x212)+~P3(x213,x214,x211,x215)
% 0.53/0.73 [22]P3(x223,x224,x225,x222)+~E(x221,x222)+~P3(x223,x224,x225,x221)
% 0.53/0.73 [23]P4(x232,x233,x234,x235)+~E(x231,x232)+~P4(x231,x233,x234,x235)
% 0.53/0.73 [24]P4(x243,x242,x244,x245)+~E(x241,x242)+~P4(x243,x241,x244,x245)
% 0.53/0.73 [25]P4(x253,x254,x252,x255)+~E(x251,x252)+~P4(x253,x254,x251,x255)
% 0.53/0.73 [26]P4(x263,x264,x265,x262)+~E(x261,x262)+~P4(x263,x264,x265,x261)
% 0.53/0.73
% 0.53/0.73 %-------------------------------------------
% 0.53/0.73 cnf(42,plain,
% 0.53/0.73 (E(f12(a4),a5)),
% 0.53/0.73 inference(scs_inference,[],[33,35])).
% 0.53/0.73 cnf(43,plain,
% 0.53/0.73 (~P3(x431,a11,x432,f12(x432))),
% 0.53/0.73 inference(rename_variables,[],[33])).
% 0.53/0.73 cnf(44,plain,
% 0.53/0.73 (~P3(x441,a11,a4,f12(a5))),
% 0.53/0.73 inference(scs_inference,[],[33,43,35,38])).
% 0.53/0.73 cnf(45,plain,
% 0.53/0.73 (~P3(x451,a11,x452,f12(x452))),
% 0.53/0.73 inference(rename_variables,[],[33])).
% 0.53/0.73 cnf(47,plain,
% 0.53/0.73 (E(f15(f12(a5)),f12(a5))),
% 0.53/0.73 inference(scs_inference,[],[33,43,45,35,38,36])).
% 0.53/0.73 cnf(48,plain,
% 0.53/0.73 (~P3(x481,a11,x482,f12(x482))),
% 0.53/0.73 inference(rename_variables,[],[33])).
% 0.53/0.73 cnf(53,plain,
% 0.53/0.73 (~E(a2,a4)),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,33,43,45,35,38,36,39,21])).
% 0.53/0.73 cnf(55,plain,
% 0.53/0.73 (~E(a4,a5)),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,30,33,43,45,35,38,36,39,21,2])).
% 0.53/0.73 cnf(56,plain,
% 0.53/0.73 (E(f14(x561,x562,f12(a4)),f14(x561,x562,a5))),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,30,33,43,45,35,38,36,39,21,2,12])).
% 0.53/0.73 cnf(57,plain,
% 0.53/0.73 (E(f14(x571,f12(a4),x572),f14(x571,a5,x572))),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,30,33,43,45,35,38,36,39,21,2,12,11])).
% 0.53/0.73 cnf(64,plain,
% 0.53/0.73 (E(f12(f12(a4)),f12(a5))),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,30,33,43,45,35,38,36,39,21,2,12,11,10,9,8,7,6,5,4])).
% 0.53/0.73 cnf(65,plain,
% 0.53/0.73 (P4(f15(f12(a5)),a19,a7,a4)),
% 0.53/0.73 inference(scs_inference,[],[31,32,29,30,33,43,45,48,35,38,36,39,21,2,12,11,10,9,8,7,6,5,4,37])).
% 0.53/0.73 cnf(85,plain,
% 0.53/0.73 (P4(f12(a5),a19,a7,a4)),
% 0.53/0.73 inference(scs_inference,[],[47,65,23])).
% 0.53/0.73 cnf(92,plain,
% 0.53/0.73 (P3(f14(a2,a4,a10),a11,a2,a4)),
% 0.53/0.73 inference(scs_inference,[],[33,29,47,65,55,23,22,41,35,39])).
% 0.53/0.73 cnf(96,plain,
% 0.53/0.73 (~E(a11,a18)),
% 0.53/0.73 inference(scs_inference,[],[31,33,29,56,47,42,65,55,23,22,41,35,39,2,21,20])).
% 0.53/0.73 cnf(101,plain,
% 0.53/0.73 (E(a2,a6)+E(a2,a5)),
% 0.53/0.73 inference(scs_inference,[],[31,27,28,33,29,56,57,47,42,65,53,55,23,22,41,35,39,2,21,20,3,34])).
% 0.53/0.73 cnf(103,plain,
% 0.53/0.73 (P3(f17(a4,f13(a4)),a11,a5,a4)),
% 0.53/0.73 inference(scs_inference,[],[31,27,28,33,29,56,57,47,42,65,53,55,23,22,41,35,39,2,21,20,3,34,38])).
% 0.53/0.73 cnf(105,plain,
% 0.53/0.73 (~P3(x1051,a11,a6,a4)),
% 0.53/0.73 inference(scs_inference,[],[31,27,28,33,29,56,57,47,42,65,53,55,23,22,41,35,39,2,21,20,3,34,38,40])).
% 0.53/0.73 cnf(127,plain,
% 0.53/0.73 (~P3(x1271,a11,x1272,f12(x1272))),
% 0.53/0.73 inference(rename_variables,[],[33])).
% 0.53/0.73 cnf(128,plain,
% 0.53/0.73 (E(f12(a5),a5)),
% 0.53/0.73 inference(scs_inference,[],[33,29,44,103,85,41,22,35])).
% 0.53/0.73 cnf(131,plain,
% 0.53/0.73 (~P3(x1311,a18,x1312,f12(x1312))),
% 0.53/0.73 inference(scs_inference,[],[33,127,29,44,103,85,41,22,35,39])).
% 0.53/0.73 cnf(146,plain,
% 0.53/0.73 (E(a5,f12(a4))),
% 0.53/0.73 inference(scs_inference,[],[42,33,105,92,64,22,21,2])).
% 0.53/0.73 cnf(148,plain,
% 0.53/0.73 (E(a2,a5)),
% 0.53/0.73 inference(scs_inference,[],[30,42,33,105,92,64,22,21,2,3,101])).
% 0.53/0.73 cnf(156,plain,
% 0.53/0.73 (E(a2,f12(a4))),
% 0.53/0.73 inference(scs_inference,[],[32,42,148,96,131,146,22,21,2,3])).
% 0.53/0.73 cnf(194,plain,
% 0.53/0.73 (P4(a5,a19,a7,a4)),
% 0.53/0.73 inference(scs_inference,[],[128,85,23])).
% 0.53/0.73 cnf(220,plain,
% 0.53/0.73 ($false),
% 0.53/0.73 inference(scs_inference,[],[29,194,146,156,41,23]),
% 0.53/0.73 ['proof']).
% 0.53/0.73 % SZS output end Proof
% 0.53/0.73 % Total time :0.110000s
%------------------------------------------------------------------------------