TSTP Solution File: PHI015+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 12:54:40 EDT 2023
% Result : Theorem 0.53s 0.68s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 08:48:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.52/0.57 start to proof:theBenchmark
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 % File :CSE---1.6
% 0.53/0.67 % Problem :theBenchmark
% 0.53/0.67 % Transform :cnf
% 0.53/0.67 % Format :tptp:raw
% 0.53/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.67
% 0.53/0.67 % Result :Theorem 0.040000s
% 0.53/0.67 % Output :CNFRefutation 0.040000s
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 % File : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.53/0.67 % Domain : Philosophy
% 0.53/0.67 % Problem : Anselm's ontological argument, from the axioms
% 0.53/0.67 % Version : [Wol16] axioms.
% 0.53/0.67 % English :
% 0.53/0.67
% 0.53/0.67 % Refs : [OZ11] Oppenheimer & Zalta (2011), A Computationally-Discover
% 0.53/0.67 % : [Wol16] Woltzenlogel Paleo (2016), Email to Geoff Sutcliffe
% 0.53/0.67 % Source : [Wol16]
% 0.53/0.67 % Names : ontological.p [Wol16]
% 0.53/0.67
% 0.53/0.67 % Status : Theorem
% 0.53/0.67 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0
% 0.53/0.67 % Syntax : Number of formulae : 11 ( 2 unt; 0 def)
% 0.53/0.67 % Number of atoms : 51 ( 5 equ)
% 0.53/0.67 % Maximal formula atoms : 11 ( 4 avg)
% 0.53/0.67 % Number of connectives : 43 ( 3 ~; 2 |; 22 &)
% 0.53/0.67 % ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% 0.53/0.67 % Maximal formula depth : 13 ( 6 avg)
% 0.53/0.67 % Maximal term depth : 1 ( 1 avg)
% 0.53/0.67 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.53/0.67 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.53/0.67 % Number of variables : 22 ( 17 !; 5 ?)
% 0.53/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.67
% 0.53/0.67 % Comments : See http://mally.stanford.edu/cm/ontological-argument/
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 fof(objects_are_not_properties,axiom,
% 0.53/0.67 ! [X] :
% 0.53/0.67 ( object(X)
% 0.53/0.67 => ~ property(X) ) ).
% 0.53/0.67
% 0.53/0.67 fof(exemplifier_is_object_and_exemplified_is_property,axiom,
% 0.53/0.67 ! [X,F] :
% 0.53/0.67 ( exemplifies_property(F,X)
% 0.53/0.67 => ( property(F)
% 0.53/0.67 & object(X) ) ) ).
% 0.53/0.67
% 0.53/0.68 fof(description_is_property_and_described_is_object,axiom,
% 0.53/0.68 ! [X,F] :
% 0.53/0.68 ( is_the(X,F)
% 0.53/0.68 => ( property(F)
% 0.53/0.68 & object(X) ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(description_axiom_schema_instance,axiom,
% 0.53/0.68 ! [F,G,X] :
% 0.53/0.68 ( ( property(F)
% 0.53/0.68 & property(G)
% 0.53/0.68 & object(X) )
% 0.53/0.68 => ( ( is_the(X,F)
% 0.53/0.68 & exemplifies_property(G,X) )
% 0.53/0.68 <=> ? [Y] :
% 0.53/0.68 ( object(Y)
% 0.53/0.68 & exemplifies_property(F,Y)
% 0.53/0.68 & ! [Z] :
% 0.53/0.68 ( object(Z)
% 0.53/0.68 => ( exemplifies_property(F,Z)
% 0.53/0.68 => Z = Y ) )
% 0.53/0.68 & exemplifies_property(G,Y) ) ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(description_axiom_identity_instance,axiom,
% 0.53/0.68 ! [F,X,W] :
% 0.53/0.68 ( ( property(F)
% 0.53/0.68 & object(X)
% 0.53/0.68 & object(W) )
% 0.53/0.68 => ( ( is_the(X,F)
% 0.53/0.68 & X = W )
% 0.53/0.68 <=> ? [Y] :
% 0.53/0.68 ( object(Y)
% 0.53/0.68 & exemplifies_property(F,Y)
% 0.53/0.68 & ! [Z] :
% 0.53/0.68 ( object(Z)
% 0.53/0.68 => ( exemplifies_property(F,Z)
% 0.53/0.68 => Z = Y ) )
% 0.53/0.68 & Y = W ) ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(connectedness_of_greater_than,axiom,
% 0.53/0.68 ! [X,Y] :
% 0.53/0.68 ( ( object(X)
% 0.53/0.68 & object(Y) )
% 0.53/0.68 => ( exemplifies_relation(greater_than,X,Y)
% 0.53/0.68 | exemplifies_relation(greater_than,Y,X)
% 0.53/0.68 | X = Y ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(definition_none_greater,axiom,
% 0.53/0.68 ! [X] :
% 0.53/0.68 ( object(X)
% 0.53/0.68 => ( exemplifies_property(none_greater,X)
% 0.53/0.68 <=> ( exemplifies_property(conceivable,X)
% 0.53/0.68 & ~ ? [Y] :
% 0.53/0.68 ( object(Y)
% 0.53/0.68 & exemplifies_relation(greater_than,Y,X)
% 0.53/0.68 & exemplifies_property(conceivable,Y) ) ) ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(premise_1,axiom,
% 0.53/0.68 ? [X] :
% 0.53/0.68 ( object(X)
% 0.53/0.68 & exemplifies_property(none_greater,X) ) ).
% 0.53/0.68
% 0.53/0.68 fof(premise_2,axiom,
% 0.53/0.68 ! [X] :
% 0.53/0.68 ( object(X)
% 0.53/0.68 => ( ( is_the(X,none_greater)
% 0.53/0.68 & ~ exemplifies_property(existence,X) )
% 0.53/0.68 => ? [Y] :
% 0.53/0.68 ( object(Y)
% 0.53/0.68 & exemplifies_relation(greater_than,Y,X)
% 0.53/0.68 & exemplifies_property(conceivable,Y) ) ) ) ).
% 0.53/0.68
% 0.53/0.68 fof(definition_god,axiom,
% 0.53/0.68 is_the(god,none_greater) ).
% 0.53/0.68
% 0.53/0.68 fof(god_exists,conjecture,
% 0.53/0.68 exemplifies_property(existence,god) ).
% 0.53/0.68
% 0.53/0.68 %------------------------------------------------------------------------------
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 % Proof found
% 0.53/0.68 % SZS status Theorem for theBenchmark
% 0.53/0.68 % SZS output start Proof
% 0.53/0.68 %ClaNum:66(EqnAxiom:28)
% 0.53/0.68 %VarNum:325(SingletonVarNum:94)
% 0.53/0.68 %MaxLitNum:8
% 0.53/0.68 %MaxfuncDepth:1
% 0.53/0.68 %SharedTerms:10
% 0.53/0.68 %goalClause: 32
% 0.53/0.68 %singleGoalClaCount:1
% 0.53/0.68 [29]P1(a1)
% 0.53/0.68 [30]P2(a8,a1)
% 0.53/0.68 [31]P3(a9,a8)
% 0.53/0.68 [32]~P2(a10,a9)
% 0.53/0.68 [33]~P5(x331)+~P1(x331)
% 0.53/0.68 [34]P1(x341)+~P2(x342,x341)
% 0.53/0.68 [35]P1(x351)+~P3(x351,x352)
% 0.53/0.68 [36]P5(x361)+~P2(x361,x362)
% 0.53/0.68 [37]P5(x371)+~P3(x372,x371)
% 0.53/0.68 [38]~P1(x381)+~P2(a8,x381)+P2(a2,x381)
% 0.53/0.68 [39]~P1(x391)+P2(a10,x391)+~P3(x391,a8)+P1(f11(x391))
% 0.53/0.68 [40]~P1(x401)+P2(a8,x401)+~P2(a2,x401)+P1(f3(x401))
% 0.53/0.68 [41]~P1(x411)+~P3(x411,a8)+P2(a10,x411)+P2(a2,f11(x411))
% 0.53/0.68 [42]~P1(x421)+~P2(a2,x421)+P2(a8,x421)+P2(a2,f3(x421))
% 0.53/0.68 [43]~P1(x431)+~P3(x431,a8)+P2(a10,x431)+P4(a12,f11(x431),x431)
% 0.53/0.68 [44]~P1(x441)+~P2(a2,x441)+P2(a8,x441)+P4(a12,f3(x441),x441)
% 0.53/0.68 [46]~P1(x462)+~P1(x461)+E(x461,x462)+P4(a12,x462,x461)+P4(a12,x461,x462)
% 0.53/0.68 [48]~P1(x481)+~P1(x482)+~P4(a12,x482,x481)+~P2(a8,x481)+~P2(a2,x482)
% 0.53/0.68 [45]~E(x452,x453)+~P1(x453)+~P1(x452)+~P5(x451)+~P3(x452,x451)+E(f4(x451,x452,x453),x453)
% 0.53/0.68 [50]~E(x502,x503)+~P1(x503)+~P1(x502)+~P5(x501)+~P3(x502,x501)+P1(f4(x501,x502,x503))
% 0.53/0.68 [51]~E(x512,x513)+~P1(x513)+~P1(x512)+~P5(x511)+~P3(x512,x511)+P2(x511,f4(x511,x512,x513))
% 0.53/0.68 [52]~P1(x523)+~P5(x522)+~P5(x521)+~P2(x522,x523)+~P3(x523,x521)+P1(f5(x521,x522,x523))
% 0.53/0.68 [53]~P1(x533)+~P5(x532)+~P5(x531)+~P2(x531,x533)+~P3(x533,x532)+P2(x531,f5(x532,x531,x533))
% 0.53/0.68 [54]~P1(x543)+~P5(x542)+~P5(x541)+~P2(x542,x543)+~P3(x543,x541)+P2(x541,f5(x541,x542,x543))
% 0.53/0.68 [47]~E(x473,x474)+~P1(x474)+~P1(x473)+~P1(x471)+~P5(x472)+~P2(x472,x471)+~P3(x473,x472)+E(x471,f4(x472,x473,x474))
% 0.53/0.68 [49]~P1(x494)+~P1(x491)+~P5(x493)+~P5(x492)+~P2(x493,x494)+~P2(x492,x491)+~P3(x494,x492)+E(x491,f5(x492,x493,x494))
% 0.53/0.68 [55]~P1(x553)+~P1(x552)+~P1(x551)+~P5(x554)+~P2(x554,x553)+E(x551,x552)+~E(x552,x553)+~E(f7(x554,x551,x552,x553),x553)
% 0.53/0.68 [56]~P1(x564)+~P1(x563)+~P1(x561)+~P5(x562)+~P2(x562,x564)+P3(x561,x562)+~E(x563,x564)+~E(f7(x562,x561,x563,x564),x564)
% 0.53/0.68 [57]~P1(x574)+~P1(x572)+~P5(x573)+~P5(x571)+~P2(x573,x574)+~P2(x571,x574)+P2(x571,x572)+~E(f6(x573,x571,x572,x574),x574)
% 0.53/0.68 [58]~P1(x584)+~P1(x581)+~P5(x583)+~P5(x582)+~P2(x583,x584)+~P2(x582,x584)+P3(x581,x582)+~E(f6(x582,x583,x581,x584),x584)
% 0.53/0.68 [59]~E(x592,x594)+~P1(x594)+~P1(x592)+~P1(x591)+~P5(x593)+~P2(x593,x594)+E(x591,x592)+P1(f7(x593,x591,x592,x594))
% 0.53/0.68 [60]~E(x602,x604)+~P1(x604)+~P1(x602)+~P1(x601)+~P5(x603)+~P2(x603,x604)+E(x601,x602)+P2(x603,f7(x603,x601,x602,x604))
% 0.53/0.68 [61]~E(x613,x614)+~P1(x614)+~P1(x613)+~P1(x611)+~P5(x612)+~P2(x612,x614)+P3(x611,x612)+P1(f7(x612,x611,x613,x614))
% 0.53/0.68 [62]~E(x623,x624)+~P1(x624)+~P1(x623)+~P1(x621)+~P5(x622)+~P2(x622,x624)+P3(x621,x622)+P2(x622,f7(x622,x621,x623,x624))
% 0.53/0.68 [63]~P1(x634)+~P1(x632)+~P5(x633)+~P5(x631)+~P2(x633,x634)+~P2(x631,x634)+P2(x631,x632)+P1(f6(x633,x631,x632,x634))
% 0.53/0.68 [64]~P1(x644)+~P1(x641)+~P5(x643)+~P5(x642)+~P2(x643,x644)+~P2(x642,x644)+P3(x641,x642)+P1(f6(x642,x643,x641,x644))
% 0.53/0.68 [65]~P1(x654)+~P1(x652)+~P5(x653)+~P5(x651)+~P2(x653,x654)+~P2(x651,x654)+P2(x651,x652)+P2(x653,f6(x653,x651,x652,x654))
% 0.53/0.68 [66]~P1(x664)+~P1(x661)+~P5(x663)+~P5(x662)+~P2(x663,x664)+~P2(x662,x664)+P3(x661,x662)+P2(x662,f6(x662,x663,x661,x664))
% 0.53/0.68 %EqnAxiom
% 0.53/0.68 [1]E(x11,x11)
% 0.53/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.68 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.53/0.68 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.53/0.68 [6]~E(x61,x62)+E(f6(x61,x63,x64,x65),f6(x62,x63,x64,x65))
% 0.53/0.68 [7]~E(x71,x72)+E(f6(x73,x71,x74,x75),f6(x73,x72,x74,x75))
% 0.53/0.68 [8]~E(x81,x82)+E(f6(x83,x84,x81,x85),f6(x83,x84,x82,x85))
% 0.53/0.68 [9]~E(x91,x92)+E(f6(x93,x94,x95,x91),f6(x93,x94,x95,x92))
% 0.53/0.68 [10]~E(x101,x102)+E(f7(x101,x103,x104,x105),f7(x102,x103,x104,x105))
% 0.53/0.68 [11]~E(x111,x112)+E(f7(x113,x111,x114,x115),f7(x113,x112,x114,x115))
% 0.53/0.68 [12]~E(x121,x122)+E(f7(x123,x124,x121,x125),f7(x123,x124,x122,x125))
% 0.53/0.68 [13]~E(x131,x132)+E(f7(x133,x134,x135,x131),f7(x133,x134,x135,x132))
% 0.53/0.68 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144))
% 0.53/0.68 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154))
% 0.53/0.68 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162))
% 0.53/0.68 [17]~E(x171,x172)+E(f4(x171,x173,x174),f4(x172,x173,x174))
% 0.53/0.68 [18]~E(x181,x182)+E(f4(x183,x181,x184),f4(x183,x182,x184))
% 0.53/0.68 [19]~E(x191,x192)+E(f4(x193,x194,x191),f4(x193,x194,x192))
% 0.53/0.68 [20]~P1(x201)+P1(x202)+~E(x201,x202)
% 0.53/0.68 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.53/0.68 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.53/0.68 [23]P3(x232,x233)+~E(x231,x232)+~P3(x231,x233)
% 0.53/0.68 [24]P3(x243,x242)+~E(x241,x242)+~P3(x243,x241)
% 0.53/0.68 [25]~P5(x251)+P5(x252)+~E(x251,x252)
% 0.53/0.68 [26]P4(x262,x263,x264)+~E(x261,x262)+~P4(x261,x263,x264)
% 0.53/0.68 [27]P4(x273,x272,x274)+~E(x271,x272)+~P4(x273,x271,x274)
% 0.53/0.68 [28]P4(x283,x284,x282)+~E(x281,x282)+~P4(x283,x284,x281)
% 0.53/0.68
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 cnf(67,plain,
% 0.53/0.68 (~P5(a1)),
% 0.53/0.68 inference(scs_inference,[],[29,33])).
% 0.53/0.68 cnf(68,plain,
% 0.53/0.68 (P2(a2,a1)),
% 0.53/0.68 inference(scs_inference,[],[29,30,33,38])).
% 0.53/0.68 cnf(69,plain,
% 0.53/0.68 (~P4(a12,a1,a1)),
% 0.53/0.68 inference(scs_inference,[],[29,30,33,38,48])).
% 0.53/0.68 cnf(70,plain,
% 0.53/0.68 (P5(a8)),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,33,38,48,37])).
% 0.53/0.68 cnf(72,plain,
% 0.53/0.68 (P5(a2)),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,33,38,48,37,36])).
% 0.53/0.68 cnf(74,plain,
% 0.53/0.68 (P1(a9)),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,33,38,48,37,36,35])).
% 0.53/0.68 cnf(77,plain,
% 0.53/0.68 (~E(a8,a1)),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,33,38,48,37,36,35,28,25])).
% 0.53/0.68 cnf(78,plain,
% 0.53/0.68 (P4(a12,f11(a9),a9)),
% 0.53/0.68 inference(scs_inference,[],[32,29,30,31,33,38,48,37,36,35,28,25,43])).
% 0.53/0.68 cnf(80,plain,
% 0.53/0.68 (P2(a2,f11(a9))),
% 0.53/0.68 inference(scs_inference,[],[32,29,30,31,33,38,48,37,36,35,28,25,43,41])).
% 0.53/0.68 cnf(82,plain,
% 0.53/0.68 (P1(f11(a9))),
% 0.53/0.68 inference(scs_inference,[],[32,29,30,31,33,38,48,37,36,35,28,25,43,41,39])).
% 0.53/0.68 cnf(98,plain,
% 0.53/0.68 (~P2(a8,a9)),
% 0.53/0.68 inference(scs_inference,[],[77,82,80,78,74,2,48])).
% 0.53/0.68 cnf(102,plain,
% 0.53/0.68 (~P1(a8)),
% 0.53/0.68 inference(scs_inference,[],[77,82,80,78,67,70,74,2,48,37,33])).
% 0.53/0.68 cnf(104,plain,
% 0.53/0.68 (~P2(a1,x1041)),
% 0.53/0.68 inference(scs_inference,[],[77,82,80,78,67,70,74,2,48,37,33,36])).
% 0.53/0.68 cnf(116,plain,
% 0.53/0.68 (~P5(a9)),
% 0.53/0.68 inference(scs_inference,[],[104,102,68,74,21,35,33])).
% 0.53/0.68 cnf(120,plain,
% 0.53/0.68 (P2(a8,f6(a8,a8,a9,a1))),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,98,104,102,68,70,74,69,21,35,33,26,23,65])).
% 0.53/0.68 cnf(122,plain,
% 0.53/0.68 (P1(f6(a8,a8,a9,a1))),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,98,104,102,68,70,74,69,21,35,33,26,23,65,63])).
% 0.53/0.68 cnf(124,plain,
% 0.53/0.68 (~E(f6(a8,a8,a9,a1),a1)),
% 0.53/0.68 inference(scs_inference,[],[29,30,31,98,104,102,68,70,74,69,21,35,33,26,23,65,63,57])).
% 0.53/0.68 cnf(145,plain,
% 0.53/0.68 (P2(a2,f6(a8,a8,a9,a1))),
% 0.53/0.68 inference(scs_inference,[],[122,120,38])).
% 0.53/0.68 cnf(149,plain,
% 0.53/0.68 (~P4(a12,f6(a8,a8,a9,a1),f6(a8,a8,a9,a1))),
% 0.53/0.68 inference(scs_inference,[],[122,120,116,38,37,48])).
% 0.53/0.68 cnf(153,plain,
% 0.53/0.69 (~P1(a2)),
% 0.53/0.69 inference(scs_inference,[],[122,120,116,72,38,37,48,36,33])).
% 0.53/0.69 cnf(171,plain,
% 0.53/0.69 (~P4(a12,a1,f6(a8,a8,a9,a1))),
% 0.53/0.69 inference(scs_inference,[],[68,153,122,120,98,74,29,20,33,42,48])).
% 0.53/0.69 cnf(190,plain,
% 0.53/0.69 ($false),
% 0.53/0.69 inference(scs_inference,[],[30,124,149,171,145,122,29,46,28,48]),
% 0.53/0.69 ['proof']).
% 0.53/0.69 % SZS output end Proof
% 0.53/0.69 % Total time :0.040000s
%------------------------------------------------------------------------------