%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ001-2 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n017.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 13:41:59 EDT 2024 % Result : Unsatisfiable 0.54s 0.81s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : PUZ001-2 : TPTP v8.2.0. Released v1.0.0. % 0.04/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n017.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Tue Jun 18 10:55:39 EDT 2024 % 0.13/0.35 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 0.54/0.80 %------------------------------------------- % 0.54/0.80 % File :CSE---1.7 % 0.54/0.80 % Problem :theBenchmark % 0.54/0.80 % Transform :cnf % 0.54/0.80 % Format :tptp:raw % 0.54/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.80 % 0.54/0.80 % Result :Theorem 0.160000s % 0.54/0.80 % Output :CNFRefutation 0.160000s % 0.54/0.80 %------------------------------------------- % 0.54/0.81 %-------------------------------------------------------------------------- % 0.54/0.81 % File : PUZ001-2 : TPTP v8.2.0. Released v1.0.0. % 0.54/0.81 % Domain : Puzzles % 0.54/0.81 % Problem : Dreadbury Mansion % 0.54/0.81 % Version : Especial. % 0.54/0.81 % English : Someone who lives in Dreadbury Mansion killed Aunt Agatha. % 0.54/0.81 % Agatha, the butler, and Charles live in Dreadbury Mansion, % 0.54/0.81 % and are the only people who live therein. A killer always % 0.54/0.81 % hates his victim, and is never richer than his victim. % 0.54/0.81 % Charles hates no one that Aunt Agatha hates. Agatha hates % 0.54/0.81 % everyone except the butler. The butler hates everyone not % 0.54/0.81 % richer than Aunt Agatha. The butler hates everyone Aunt % 0.54/0.81 % Agatha hates. No one hates everyone. Agatha is not the % 0.54/0.81 % butler. Therefore : Agatha killed herself. % 0.54/0.81 % 0.54/0.81 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.54/0.81 % : [Pel88] Pelletier (1988), Errata % 0.54/0.81 % Source : [Pel86] % 0.54/0.81 % Names : Pelletier 55 [Pel86] % 0.54/0.81 % 0.54/0.81 % Status : Unsatisfiable % 0.54/0.81 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.05 v5.3.0, 0.11 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.10 v2.5.0, 0.17 v2.4.0, 0.00 v2.3.0, 0.11 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0 % 0.54/0.81 % Syntax : Number of clauses : 15 ( 8 unt; 3 nHn; 13 RR) % 0.54/0.81 % Number of literals : 24 ( 5 equ; 10 neg) % 0.54/0.81 % Maximal clause size : 4 ( 1 avg) % 0.54/0.81 % Maximal term depth : 2 ( 1 avg) % 0.54/0.81 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 0.54/0.81 % Number of functors : 5 ( 5 usr; 4 con; 0-1 aty) % 0.54/0.81 % Number of variables : 10 ( 0 sgn) % 0.54/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.54/0.81 % 0.54/0.81 % Comments : Also known as "Who killed Aunt Agatha" % 0.54/0.81 % : This problem was contributed to [Pel86] by Len Schubert. % 0.54/0.81 % : Schubert says "I don't know of any other places where my % 0.54/0.81 % "Dreadbury Mansion" (or "Aunt Agatha") problem has been % 0.54/0.81 % published, besides in Jeff's "75 Problems". I formulated the % 0.54/0.81 % problem as an exercise in resolution, paramodulation and % 0.54/0.81 % answer extraction for a graduate AI class at the Univ. % 0.54/0.81 % of Alberta in 1983." % 0.54/0.81 % : This problem is incorrect in [Pel86] and is corrected in [Pel88]. % 0.54/0.81 %-------------------------------------------------------------------------- % 0.54/0.81 %----The axioms of the problem % 0.54/0.81 cnf(someone_in_mansion,axiom, % 0.54/0.81 lives_at_dreadsbury(someone) ). % 0.54/0.81 % 0.54/0.81 cnf(someone_killed_agatha,axiom, % 0.54/0.81 killed(someone,aunt_agatha) ). % 0.54/0.81 % 0.54/0.81 cnf(agatha_lives_at_mansion,axiom, % 0.54/0.81 lives_at_dreadsbury(aunt_agatha) ). % 0.54/0.81 % 0.54/0.81 cnf(butler_lives_at_mansion,axiom, % 0.54/0.81 lives_at_dreadsbury(butler) ). % 0.54/0.81 % 0.54/0.81 cnf(charles_lives_at_mansion,axiom, % 0.54/0.81 lives_at_dreadsbury(charles) ). % 0.54/0.81 % 0.54/0.81 cnf(noone_else_lives_at_mansion,axiom, % 0.54/0.81 ( ~ lives_at_dreadsbury(Person) % 0.54/0.81 | Person = aunt_agatha % 0.54/0.81 | Person = butler % 0.54/0.81 | Person = charles ) ). % 0.54/0.81 % 0.54/0.81 cnf(killer_hates_victim,axiom, % 0.54/0.81 ( ~ killed(Killer,Victim) % 0.54/0.81 | hates(Killer,Victim) ) ). % 0.54/0.81 % 0.54/0.81 cnf(killer_poorer_than_victim,axiom, % 0.54/0.81 ( ~ killed(Killer,Victim) % 0.54/0.81 | ~ richer(Killer,Victim) ) ). % 0.54/0.81 % 0.54/0.81 cnf(charles_and_agatha_hate_different_people,axiom, % 0.54/0.81 ( ~ hates(aunt_agatha,Person) % 0.54/0.81 | ~ hates(charles,Person) ) ). % 0.54/0.81 % 0.54/0.81 cnf(agatha_likes_only_butler,axiom, % 0.54/0.81 ( Person = butler % 0.54/0.81 | hates(aunt_agatha,Person) ) ). % 0.54/0.81 % 0.54/0.81 cnf(butler_hates_poor_people,axiom, % 0.54/0.81 ( richer(Person,aunt_agatha) % 0.54/0.81 | hates(butler,Person) ) ). % 0.54/0.81 % 0.54/0.81 cnf(butler_and_agatha_hate_the_same_people,axiom, % 0.54/0.81 ( ~ hates(aunt_agatha,Person) % 0.54/0.81 | hates(butler,Person) ) ). % 0.54/0.81 % 0.54/0.81 cnf(noone_hates_everyone,axiom, % 0.54/0.81 ~ hates(Person,every_one_but(Person)) ). % 0.54/0.81 % 0.54/0.81 cnf(agatha_is_not_the_butler,axiom, % 0.54/0.81 aunt_agatha != butler ). % 0.54/0.81 % 0.54/0.81 cnf(prove_agatha_killed_herself,negated_conjecture, % 0.54/0.81 ~ killed(aunt_agatha,aunt_agatha) ). % 0.54/0.81 % 0.54/0.81 %-------------------------------------------------------------------------- % 0.54/0.81 %------------------------------------------- % 0.54/0.81 % Proof found % 0.54/0.81 % SZS status Theorem for theBenchmark % 0.54/0.81 % SZS output start Proof % 0.54/0.81 %ClaNum:26(EqnAxiom:11) % 0.54/0.81 %VarNum:22(SingletonVarNum:10) % 0.54/0.81 %MaxLitNum:4 % 0.54/0.81 %MaxfuncDepth:1 % 0.54/0.81 %SharedTerms:11 % 0.54/0.81 %goalClause: 18 % 0.54/0.81 %singleGoalClaCount:1 % 0.54/0.81 [12]P1(a1) % 0.54/0.81 [13]P1(a2) % 0.54/0.81 [14]P1(a3) % 0.54/0.81 [15]P1(a4) % 0.54/0.81 [16]P2(a1,a2) % 0.54/0.81 [17]~E(a3,a2) % 0.54/0.81 [18]~P2(a2,a2) % 0.54/0.81 [19]~P3(x191,f5(x191)) % 0.54/0.81 [21]P3(a2,x211)+E(x211,a3) % 0.54/0.81 [22]P3(a3,x221)+P4(x221,a2) % 0.54/0.81 [23]~P3(a2,x231)+P3(a3,x231) % 0.54/0.81 [25]~P3(a4,x251)+~P3(a2,x251) % 0.54/0.81 [24]~P2(x241,x242)+P3(x241,x242) % 0.54/0.81 [26]~P4(x261,x262)+~P2(x261,x262) % 0.54/0.81 [20]~P1(x201)+E(x201,a3)+E(x201,a4)+E(x201,a2) % 0.54/0.81 %EqnAxiom % 0.54/0.81 [1]E(x11,x11) % 0.54/0.81 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.81 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.54/0.81 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.54/0.81 [6]P4(x62,x63)+~E(x61,x62)+~P4(x61,x63) % 0.54/0.81 [7]P4(x73,x72)+~E(x71,x72)+~P4(x73,x71) % 0.54/0.81 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.54/0.81 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.54/0.81 [10]P3(x102,x103)+~E(x101,x102)+~P3(x101,x103) % 0.54/0.81 [11]P3(x113,x112)+~E(x111,x112)+~P3(x113,x111) % 0.54/0.81 % 0.54/0.81 %------------------------------------------- % 0.54/0.81 cnf(31,plain, % 0.54/0.81 (P3(a3,a1)), % 0.54/0.81 inference(scs_inference,[],[19,16,24,26,22])). % 0.54/0.81 cnf(33,plain, % 0.54/0.81 (~P3(a2,f5(a3))), % 0.54/0.81 inference(scs_inference,[],[19,16,24,26,22,23])). % 0.54/0.81 cnf(34,plain, % 0.54/0.82 (~P3(x341,f5(x341))), % 0.54/0.82 inference(rename_variables,[],[19])). % 0.54/0.82 cnf(36,plain, % 0.54/0.82 (~E(a1,a2)), % 0.54/0.82 inference(scs_inference,[],[18,19,16,24,26,22,23,8])). % 0.54/0.82 cnf(37,plain, % 0.54/0.82 (~E(a1,f5(a3))), % 0.54/0.82 inference(scs_inference,[],[18,19,34,16,24,26,22,23,8,11])). % 0.54/0.82 cnf(40,plain, % 0.54/0.82 (P3(x401,a1)+~E(a3,x401)), % 0.54/0.82 inference(scs_inference,[],[18,19,34,16,24,26,22,23,8,11,9,10])). % 0.54/0.82 cnf(47,plain, % 0.54/0.82 (P3(a2,a2)), % 0.54/0.82 inference(scs_inference,[],[17,2,21])). % 0.54/0.82 cnf(50,plain, % 0.54/0.82 (~P2(a4,a2)), % 0.54/0.82 inference(scs_inference,[],[47,25,24])). % 0.54/0.82 cnf(54,plain, % 0.54/0.82 (E(f5(f5(a3)),f5(a3))), % 0.54/0.82 inference(scs_inference,[],[33,4,21])). % 0.54/0.82 cnf(55,plain, % 0.54/0.82 (E(f5(a3),f5(f5(a3)))), % 0.54/0.82 inference(scs_inference,[],[54,2])). % 0.54/0.82 cnf(73,plain, % 0.54/0.82 (~E(f5(f5(a3)),a1)), % 0.54/0.82 inference(scs_inference,[],[37,55,2,3])). % 0.54/0.82 cnf(79,plain, % 0.54/0.82 (~E(a1,a4)), % 0.54/0.82 inference(scs_inference,[],[50,16,8])). % 0.54/0.82 cnf(89,plain, % 0.54/0.82 (E(a4,a1)+E(a1,a3)), % 0.54/0.82 inference(scs_inference,[],[36,12,2,20])). % 0.54/0.82 cnf(98,plain, % 0.54/0.82 (~P3(a2,f5(f5(a3)))), % 0.54/0.82 inference(scs_inference,[],[55,33,2,11])). % 0.54/0.82 cnf(99,plain, % 0.54/0.82 (E(a3,a1)+E(a4,a1)), % 0.54/0.82 inference(scs_inference,[],[2,89])). % 0.54/0.82 cnf(104,plain, % 0.54/0.82 (E(a3,a1)), % 0.54/0.82 inference(scs_inference,[],[79,2,99])). % 0.54/0.82 cnf(110,plain, % 0.54/0.82 ($false), % 0.54/0.82 inference(scs_inference,[],[31,16,73,98,104,40,2,3,8,11,21]), % 0.54/0.82 ['proof']). % 0.54/0.82 % SZS output end Proof % 0.54/0.82 % Total time :0.160000s %------------------------------------------------------------------------------