%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PHI010+1 : TPTP v8.2.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n027.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 13:33:53 EDT 2024 % Result : Theorem 0.53s 0.67s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PHI010+1 : TPTP v8.2.0. Released v7.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n027.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Tue Jun 18 20:14:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 0.53/0.66 %------------------------------------------- % 0.53/0.66 % File :CSE---1.7 % 0.53/0.66 % Problem :theBenchmark % 0.53/0.66 % Transform :cnf % 0.53/0.66 % Format :tptp:raw % 0.53/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.66 % 0.53/0.66 % Result :Theorem 0.010000s % 0.53/0.66 % Output :CNFRefutation 0.010000s % 0.53/0.66 %------------------------------------------- % 0.53/0.67 %------------------------------------------------------------------------------ % 0.53/0.67 % File : PHI010+1 : TPTP v8.2.0. Released v7.2.0. % 0.53/0.67 % Domain : Philosophy % 0.53/0.67 % Problem : Lemma for Anselm's ontological argument % 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 : lemma1.p [Wol16] % 0.53/0.67 % 0.53/0.67 % Status : Theorem % 0.53/0.67 % Rating : 0.06 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.03 v7.2.0 % 0.53/0.67 % Syntax : Number of formulae : 5 ( 0 unt; 0 def) % 0.53/0.67 % Number of atoms : 25 ( 4 equ) % 0.53/0.67 % Maximal formula atoms : 11 ( 5 avg) % 0.53/0.67 % Number of connectives : 21 ( 1 ~; 0 |; 11 &) % 0.53/0.67 % ( 1 <=>; 8 =>; 0 <=; 0 <~>) % 0.53/0.67 % Maximal formula depth : 13 ( 7 avg) % 0.53/0.67 % Maximal term depth : 1 ( 1 avg) % 0.53/0.67 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 0.53/0.67 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.53/0.67 % Number of variables : 13 ( 12 !; 1 ?) % 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 % 0.53/0.67 fof(description_is_property_and_described_is_object,axiom, % 0.53/0.67 ! [X,F] : % 0.53/0.67 ( is_the(X,F) % 0.53/0.67 => ( property(F) % 0.53/0.67 & object(X) ) ) ). % 0.53/0.67 % 0.53/0.67 fof(description_axiom_identity_instance,axiom, % 0.53/0.67 ! [F,X,W] : % 0.53/0.67 ( ( property(F) % 0.53/0.67 & object(X) % 0.53/0.67 & object(W) ) % 0.53/0.67 => ( ( is_the(X,F) % 0.53/0.67 & X = W ) % 0.53/0.67 <=> ? [Y] : % 0.53/0.67 ( object(Y) % 0.53/0.67 & exemplifies_property(F,Y) % 0.53/0.67 & ! [Z] : % 0.53/0.67 ( object(Z) % 0.53/0.67 => ( exemplifies_property(F,Z) % 0.53/0.67 => Z = Y ) ) % 0.53/0.67 & Y = W ) ) ) ). % 0.53/0.67 % 0.53/0.67 fof(lemma_1,conjecture, % 0.53/0.67 ! [X,F,Y] : % 0.53/0.67 ( ( object(X) % 0.53/0.67 & property(F) % 0.53/0.67 & object(Y) ) % 0.53/0.67 => ( ( is_the(X,F) % 0.53/0.67 & X = Y ) % 0.53/0.67 => exemplifies_property(F,Y) ) ) ). % 0.53/0.67 % 0.53/0.67 %------------------------------------------------------------------------------ % 0.53/0.67 %------------------------------------------- % 0.53/0.67 % Proof found % 0.53/0.67 % SZS status Theorem for theBenchmark % 0.53/0.67 % SZS output start Proof % 0.53/0.67 %ClaNum:37(EqnAxiom:16) % 0.53/0.67 %VarNum:148(SingletonVarNum:46) % 0.53/0.67 %MaxLitNum:8 % 0.53/0.67 %MaxfuncDepth:1 % 0.53/0.67 %SharedTerms:9 % 0.53/0.67 %goalClause: 17 18 19 20 21 22 % 0.53/0.67 %singleGoalClaCount:6 % 0.53/0.67 [17]E(a1,a2) % 0.53/0.67 [18]P1(a2) % 0.53/0.67 [19]P1(a1) % 0.53/0.67 [20]P4(a5) % 0.53/0.67 [21]P2(a2,a5) % 0.53/0.67 [22]~P3(a5,a1) % 0.53/0.67 [23]~P4(x231)+~P1(x231) % 0.53/0.67 [24]P1(x241)+~P3(x242,x241) % 0.53/0.67 [25]P1(x251)+~P2(x251,x252) % 0.53/0.67 [26]P4(x261)+~P3(x261,x262) % 0.53/0.67 [27]P4(x271)+~P2(x272,x271) % 0.53/0.67 [28]~E(x282,x283)+~P1(x283)+~P1(x282)+~P4(x281)+~P2(x282,x281)+E(f3(x281,x282,x283),x283) % 0.53/0.67 [30]~E(x302,x303)+~P1(x303)+~P1(x302)+~P4(x301)+~P2(x302,x301)+P1(f3(x301,x302,x303)) % 0.53/0.67 [31]~E(x312,x313)+~P1(x313)+~P1(x312)+~P4(x311)+~P2(x312,x311)+P3(x311,f3(x311,x312,x313)) % 0.53/0.67 [29]~E(x293,x294)+~P1(x294)+~P1(x293)+~P1(x291)+~P4(x292)+~P3(x292,x291)+~P2(x293,x292)+E(x291,f3(x292,x293,x294)) % 0.53/0.67 [32]~P1(x323)+~P1(x322)+~P1(x321)+~P4(x324)+~P3(x324,x323)+E(x321,x322)+~E(x322,x323)+~E(f4(x324,x321,x322,x323),x323) % 0.53/0.67 [33]~P1(x334)+~P1(x333)+~P1(x331)+~P4(x332)+~P3(x332,x334)+P2(x331,x332)+~E(x333,x334)+~E(f4(x332,x331,x333,x334),x334) % 0.53/0.67 [34]~E(x342,x344)+~P1(x344)+~P1(x342)+~P1(x341)+~P4(x343)+~P3(x343,x344)+E(x341,x342)+P1(f4(x343,x341,x342,x344)) % 0.53/0.67 [35]~E(x352,x354)+~P1(x354)+~P1(x352)+~P1(x351)+~P4(x353)+~P3(x353,x354)+E(x351,x352)+P3(x353,f4(x353,x351,x352,x354)) % 0.53/0.67 [36]~E(x363,x364)+~P1(x364)+~P1(x363)+~P1(x361)+~P4(x362)+~P3(x362,x364)+P2(x361,x362)+P1(f4(x362,x361,x363,x364)) % 0.53/0.67 [37]~E(x373,x374)+~P1(x374)+~P1(x373)+~P1(x371)+~P4(x372)+~P3(x372,x374)+P2(x371,x372)+P3(x372,f4(x372,x371,x373,x374)) % 0.53/0.67 %EqnAxiom % 0.53/0.67 [1]E(x11,x11) % 0.53/0.67 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.67 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 0.53/0.67 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 0.53/0.67 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 0.53/0.67 [7]~E(x71,x72)+E(f4(x71,x73,x74,x75),f4(x72,x73,x74,x75)) % 0.53/0.67 [8]~E(x81,x82)+E(f4(x83,x81,x84,x85),f4(x83,x82,x84,x85)) % 0.53/0.67 [9]~E(x91,x92)+E(f4(x93,x94,x91,x95),f4(x93,x94,x92,x95)) % 0.53/0.67 [10]~E(x101,x102)+E(f4(x103,x104,x105,x101),f4(x103,x104,x105,x102)) % 0.53/0.67 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.53/0.67 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123) % 0.53/0.67 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131) % 0.53/0.67 [14]~P4(x141)+P4(x142)+~E(x141,x142) % 0.53/0.67 [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153) % 0.53/0.67 [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161) % 0.53/0.67 % 0.53/0.67 %------------------------------------------- % 0.53/0.68 cnf(38,plain, % 0.53/0.68 (~P1(x381)+~P1(x381)+~P2(x381,x382)+~P4(x382)+E(f3(x382,x381,x381),x381)), % 0.53/0.68 inference(equality_inference,[],[28])). % 0.53/0.68 cnf(40,plain, % 0.53/0.68 (~P1(x401)+~P1(x401)+~P2(x401,x402)+~P4(x402)+P1(f3(x402,x401,x401))), % 0.53/0.68 inference(equality_inference,[],[30])). % 0.53/0.68 cnf(41,plain, % 0.53/0.68 (~P1(x411)+~P1(x411)+~P2(x411,x412)+~P4(x412)+P3(x412,f3(x412,x411,x411))), % 0.53/0.68 inference(equality_inference,[],[31])). % 0.53/0.68 cnf(53,plain, % 0.53/0.68 (~P4(a1)), % 0.53/0.68 inference(scs_inference,[],[17,18,23,26,27,2,14])). % 0.53/0.68 cnf(54,plain, % 0.53/0.68 (P2(a1,a5)), % 0.53/0.68 inference(scs_inference,[],[17,18,21,23,26,27,2,14,15])). % 0.53/0.68 cnf(55,plain, % 0.53/0.68 (~E(a5,a2)), % 0.53/0.68 inference(scs_inference,[],[17,18,21,23,26,27,2,14,15,16])). % 0.53/0.68 cnf(56,plain, % 0.53/0.68 (E(f3(a5,a2,a2),a2)), % 0.53/0.68 inference(scs_inference,[],[17,18,20,21,23,26,27,2,14,15,16,38])). % 0.53/0.68 cnf(58,plain, % 0.53/0.68 (P1(f3(a5,a2,a2))), % 0.53/0.68 inference(scs_inference,[],[17,18,20,21,23,26,27,2,14,15,16,38,40])). % 0.53/0.68 cnf(82,plain, % 0.53/0.68 ($false), % 0.53/0.68 inference(scs_inference,[],[19,22,20,58,55,56,53,54,27,23,2,26,3,38,40,41,14,13]), % 0.53/0.68 ['proof']). % 0.53/0.68 % SZS output end Proof % 0.53/0.68 % Total time :0.010000s %------------------------------------------------------------------------------