%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ130+1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 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 : Mon Jun 24 13:42:26 EDT 2024 % Result : Theorem 0.54s 0.70s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ130+1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n009.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 : Tue Jun 18 10:19:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.46/0.57 start to proof:theBenchmark % 0.54/0.69 %------------------------------------------- % 0.54/0.69 % File :CSE---1.7 % 0.54/0.69 % Problem :theBenchmark % 0.54/0.69 % Transform :cnf % 0.54/0.69 % Format :tptp:raw % 0.54/0.69 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.69 % 0.54/0.69 % Result :Theorem 0.080000s % 0.54/0.69 % Output :CNFRefutation 0.080000s % 0.54/0.69 %------------------------------------------- % 0.54/0.70 %------------------------------------------------------------------------------ % 0.54/0.70 % File : PUZ130+1 : TPTP v8.2.0. Released v4.1.0. % 0.54/0.70 % Domain : Puzzles % 0.54/0.70 % Problem : Garfield and Odie % 0.54/0.70 % Version : Especial. % 0.54/0.70 % English : Garfield is a cat and Odie is a dog. Cats and dogs are pets. Jon % 0.54/0.70 % is a human. Every pet has a human owner. Jon owns Garfield and % 0.54/0.70 % Odie, and they are the only cat and dog he owns. If a dog chases % 0.54/0.70 % a cat, then the cat's owner hates the dog's owner. Odie has chased % 0.54/0.70 % Garfield. Therefore, Jon hates himself. % 0.54/0.70 % 0.54/0.70 % Refs : % 0.54/0.70 % Source : [TPTP] % 0.54/0.70 % Names : % 0.54/0.70 % 0.54/0.70 % Status : Theorem % 0.54/0.70 % Rating : 0.11 v8.2.0, 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0 % 0.54/0.70 % Syntax : Number of formulae : 19 ( 11 unt; 0 def) % 0.54/0.70 % Number of atoms : 34 ( 3 equ) % 0.54/0.70 % Maximal formula atoms : 4 ( 1 avg) % 0.54/0.70 % Number of connectives : 15 ( 0 ~; 0 |; 3 &) % 0.54/0.70 % ( 1 <=>; 11 =>; 0 <=; 0 <~>) % 0.54/0.70 % Maximal formula depth : 5 ( 3 avg) % 0.54/0.70 % Maximal term depth : 2 ( 1 avg) % 0.54/0.70 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty) % 0.54/0.70 % Number of functors : 4 ( 4 usr; 3 con; 0-1 aty) % 0.54/0.70 % Number of variables : 17 ( 12 !; 5 ?) % 0.54/0.70 % SPC : FOF_THM_RFO_SEQ % 0.54/0.70 % 0.54/0.70 % Comments : % 0.54/0.70 %------------------------------------------------------------------------------ % 0.54/0.70 fof(cat_type,axiom, % 0.54/0.70 ? [A] : cat(A) ). % 0.54/0.70 % 0.54/0.70 fof(garfield_type,axiom, % 0.54/0.70 cat(garfield) ). % 0.54/0.70 % 0.54/0.70 fof(dog_type,axiom, % 0.54/0.70 ? [A] : dog(A) ). % 0.54/0.70 % 0.54/0.70 fof(odie_type,axiom, % 0.54/0.70 dog(odie) ). % 0.54/0.70 % 0.54/0.70 fof(pet_type,axiom, % 0.54/0.70 ? [A] : pet(A) ). % 0.54/0.70 % 0.54/0.70 fof(dog_pet_type,axiom, % 0.54/0.70 ! [A] : % 0.54/0.70 ( dog(A) % 0.54/0.70 => pet(A) ) ). % 0.54/0.70 % 0.54/0.70 fof(cat_pet_type,axiom, % 0.54/0.70 ! [A] : % 0.54/0.70 ( cat(A) % 0.54/0.70 => pet(A) ) ). % 0.54/0.70 % 0.54/0.70 fof(human_type,axiom, % 0.54/0.70 ? [A] : human(A) ). % 0.54/0.70 % 0.54/0.70 fof(jon_type,axiom, % 0.54/0.70 human(jon) ). % 0.54/0.70 % 0.54/0.70 fof(owner_of_type,axiom, % 0.54/0.70 ! [A] : % 0.54/0.70 ( pet(A) % 0.54/0.70 => human(owner_of(A)) ) ). % 0.54/0.70 % 0.54/0.70 fof(pet_owner_axiom,axiom, % 0.54/0.70 ! [X] : % 0.54/0.70 ( pet(X) % 0.54/0.70 => ? [Y] : % 0.54/0.70 ( human(Y) % 0.54/0.70 & owner(X,Y) ) ) ). % 0.54/0.70 % 0.54/0.70 fof(jon_o_owner_axiom,axiom, % 0.54/0.70 owner(jon,odie) ). % 0.54/0.70 % 0.54/0.70 fof(jon_g_owner_axiom,axiom, % 0.54/0.70 owner(jon,garfield) ). % 0.54/0.70 % 0.54/0.70 fof(jon_only_g_owner_axiom,axiom, % 0.54/0.70 ! [X] : % 0.54/0.70 ( ! [X] : % 0.54/0.70 ( cat(X) % 0.54/0.70 => owner(jon,X) ) % 0.54/0.70 => X = garfield ) ). % 0.54/0.70 % 0.54/0.70 fof(jon_only_o_owner_axiom,axiom, % 0.54/0.70 ! [X] : % 0.54/0.70 ( ! [X] : % 0.54/0.70 ( dog(X) % 0.54/0.70 => owner(jon,X) ) % 0.54/0.70 => X = odie ) ). % 0.54/0.70 % 0.54/0.70 fof(cat_chase_axiom,axiom, % 0.54/0.70 ! [X,Y] : % 0.54/0.70 ( ( cat(X) % 0.54/0.70 & dog(Y) ) % 0.54/0.70 => ( chased(Y,X) % 0.54/0.70 => hates(owner_of(X),owner_of(Y)) ) ) ). % 0.54/0.70 % 0.54/0.70 fof(owner_def,axiom, % 0.54/0.70 ! [X,Y] : % 0.54/0.70 ( ( human(X) % 0.54/0.70 & pet(Y) ) % 0.54/0.70 => ( owner(X,Y) % 0.54/0.70 <=> X = owner_of(Y) ) ) ). % 0.54/0.70 % 0.54/0.70 fof(odie_chase_axiom,axiom, % 0.54/0.70 chased(odie,garfield) ). % 0.54/0.70 % 0.54/0.70 fof(jon_conjecture,conjecture, % 0.54/0.70 hates(jon,jon) ). % 0.54/0.70 % 0.54/0.70 %------------------------------------------------------------------------------ % 0.54/0.70 %------------------------------------------- % 0.54/0.70 % Proof found % 0.54/0.70 % SZS status Theorem for theBenchmark % 0.54/0.70 % SZS output start Proof % 0.54/0.70 %ClaNum:38(EqnAxiom:15) % 0.54/0.70 %VarNum:33(SingletonVarNum:15) % 0.54/0.70 %MaxLitNum:4 % 0.54/0.70 %MaxfuncDepth:1 % 0.54/0.70 %SharedTerms:24 % 0.54/0.70 %goalClause: 26 % 0.54/0.70 %singleGoalClaCount:1 % 0.54/0.70 [16]P1(a1) % 0.54/0.70 [17]P1(a2) % 0.54/0.70 [18]P2(a9) % 0.54/0.70 [19]P2(a3) % 0.54/0.70 [20]P4(a4) % 0.54/0.70 [21]P5(a10) % 0.54/0.70 [22]P5(a5) % 0.54/0.70 [23]P7(a10,a1) % 0.54/0.70 [24]P7(a10,a9) % 0.54/0.70 [25]P3(a9,a1) % 0.54/0.70 [26]~P6(a10,a10) % 0.54/0.70 [27]E(x271,a1)+P1(a6) % 0.54/0.70 [28]E(x281,a9)+P2(a8) % 0.54/0.70 [29]~P1(x291)+P4(x291) % 0.54/0.70 [30]~P2(x301)+P4(x301) % 0.54/0.70 [33]E(x331,a1)+~P7(a10,a6) % 0.54/0.70 [34]E(x341,a9)+~P7(a10,a8) % 0.54/0.70 [31]~P4(x311)+P5(f11(x311)) % 0.54/0.70 [32]~P4(x321)+P5(f7(x321)) % 0.54/0.70 [35]~P4(x351)+P7(x351,f7(x351)) % 0.54/0.70 [36]~P4(x362)+~P5(x361)+P7(x361,x362)+~E(x361,f11(x362)) % 0.54/0.70 [37]~P4(x372)+~P5(x371)+~P7(x371,x372)+E(x371,f11(x372)) % 0.54/0.70 [38]~P1(x381)+~P2(x382)+~P3(x382,x381)+P6(f11(x381),f11(x382)) % 0.54/0.70 %EqnAxiom % 0.54/0.70 [1]E(x11,x11) % 0.54/0.70 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.70 [4]~E(x41,x42)+E(f11(x41),f11(x42)) % 0.54/0.70 [5]~E(x51,x52)+E(f7(x51),f7(x52)) % 0.54/0.70 [6]~P1(x61)+P1(x62)+~E(x61,x62) % 0.54/0.70 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73) % 0.54/0.70 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81) % 0.54/0.70 [9]~P2(x91)+P2(x92)+~E(x91,x92) % 0.54/0.70 [10]~P5(x101)+P5(x102)+~E(x101,x102) % 0.54/0.70 [11]~P4(x111)+P4(x112)+~E(x111,x112) % 0.54/0.70 [12]P7(x122,x123)+~E(x121,x122)+~P7(x121,x123) % 0.54/0.70 [13]P7(x133,x132)+~E(x131,x132)+~P7(x133,x131) % 0.54/0.70 [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143) % 0.54/0.70 [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151) % 0.54/0.70 % 0.54/0.70 %------------------------------------------- % 0.54/0.70 cnf(89,plain, % 0.54/0.70 (P6(x891,f11(a9))+~E(f11(a1),x891)), % 0.54/0.70 inference(scs_inference,[],[25,16,18,14,38])). % 0.54/0.70 cnf(90,plain, % 0.54/0.70 (P6(f11(a1),f11(a9))), % 0.54/0.70 inference(equality_inference,[],[89])). % 0.54/0.70 cnf(92,plain, % 0.54/0.70 (~E(f11(a1),a10)+~E(f11(a9),a10)), % 0.54/0.70 inference(scs_inference,[],[90,26,15,14])). % 0.54/0.70 cnf(96,plain, % 0.54/0.70 (~E(a10,f11(a9))+~E(f11(a1),a10)), % 0.54/0.70 inference(scs_inference,[],[92,2])). % 0.54/0.70 cnf(97,plain, % 0.54/0.70 (~P4(a9)+~E(f11(a1),a10)), % 0.54/0.70 inference(scs_inference,[],[24,21,96,37])). % 0.54/0.70 cnf(98,plain, % 0.54/0.71 (~E(a10,f11(a1))+~P4(a9)), % 0.54/0.71 inference(scs_inference,[],[97,2])). % 0.54/0.71 cnf(99,plain, % 0.54/0.71 (~P4(a1)+~P4(a9)), % 0.54/0.71 inference(scs_inference,[],[23,21,98,37])). % 0.54/0.71 cnf(100,plain, % 0.54/0.71 (~P4(a9)), % 0.54/0.71 inference(scs_inference,[],[16,99,29])). % 0.54/0.71 cnf(104,plain, % 0.54/0.71 ($false), % 0.54/0.71 inference(scs_inference,[],[100,18,29,30]), % 0.54/0.71 ['proof']). % 0.54/0.71 % SZS output end Proof % 0.54/0.71 % Total time :0.080000s %------------------------------------------------------------------------------