%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ013-1 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 13:42:03 EDT 2024 % Result : Unsatisfiable 0.42s 0.63s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ013-1 : TPTP v8.2.0. Released v1.0.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.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 10:38:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.42/0.59 start to proof:theBenchmark % 0.42/0.62 %------------------------------------------- % 0.42/0.62 % File :CSE---1.7 % 0.42/0.62 % Problem :theBenchmark % 0.42/0.62 % Transform :cnf % 0.42/0.62 % Format :tptp:raw % 0.42/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.42/0.62 % 0.42/0.62 % Result :Theorem 0.000000s % 0.42/0.62 % Output :CNFRefutation 0.000000s % 0.42/0.62 %------------------------------------------- % 0.42/0.62 %-------------------------------------------------------------------------- % 0.42/0.62 % File : PUZ013-1 : TPTP v8.2.0. Released v1.0.0. % 0.42/0.62 % Domain : Puzzles % 0.42/0.62 % Problem : The School Boys : Prove some monitors are awake % 0.42/0.62 % Version : Especial. % 0.42/0.62 % English : "All the boys, in a certain school, sit together in one large % 0.42/0.62 % room every evening. They are of no less than five % 0.42/0.62 % nationalities - English, Scotch, Welsh, Irish, and German. % 0.42/0.62 % One of the Monitors (who is a great reader of Wilkie Collins' % 0.42/0.62 % novels) is very observant and takes MS. notes of almost % 0.42/0.62 % everything that happens, with the view of being a good % 0.42/0.62 % sensational witness, in case any conspiracy to commit % 0.42/0.62 % a murder should be afoot. The following are some of his % 0.42/0.62 % notes : % 0.42/0.62 % (1) Whenever some of the English boys are singing "Rule, % 0.42/0.62 % Britannia," and some not, some of the Monitors are wide awake. % 0.42/0.62 % (2) Whenever some of the Scotch are dancing reels, and some of % 0.42/0.62 % the Irish fighting, some of the Welsh are eating toasted cheese. % 0.42/0.62 % (3) Whenever all the Germans are playing chess, some of the % 0.42/0.62 % Eleven are not oiling their bats. % 0.42/0.62 % (4) Whenever some of the Monitors are asleep, and some not, % 0.42/0.62 % some of the Irish are fighting. % 0.42/0.62 % (5) Whenever some of the Germans are playing chess, and none % 0.42/0.62 % of the Scotch are dancing reels, some of the Welsh are not % 0.42/0.62 % eating toasted cheese. % 0.42/0.62 % (6) Whenever some of the Scotch are not dancing reels, and % 0.42/0.62 % some of the Irish are not fighting, some of the Germans are % 0.42/0.62 % playing chess. % 0.42/0.62 % (7) Whenever some of the Monitors are awake, and some of the % 0.42/0.62 % Welsh are eating toasted cheese, none of the Scotch are % 0.42/0.62 % dancing reels. % 0.42/0.62 % (8) Whenever some of the Germans are not playing chess, and % 0.42/0.62 % some of the Welsh are not eating toasted cheese, none of the % 0.42/0.62 % Irish are fighting. % 0.42/0.62 % (9) Whenever all of the English are singing "Rule, Britannia," % 0.42/0.62 % and some of the Scotch are not dancing reels, none of the % 0.42/0.62 % Germans are playing chess. % 0.42/0.62 % (10) Whenever some of the English are singing "Rule, Britannia", % 0.42/0.62 % and some of the Monitors are asleep, some of the Irish are not % 0.42/0.62 % fighting. % 0.42/0.62 % (11) Whenever some of the Monitors are awake, and some of the % 0.42/0.62 % Eleven are not oiling their bats, some of the Scotch are % 0.42/0.62 % dancing reels. % 0.42/0.62 % (12) Whenever some of the English are singing "Rule, % 0.42/0.62 % Britannia," and some of the Scotch are not dancing reels, % 0.42/0.62 % Here the MS. breaks off suddenly. The problem is to complete % 0.42/0.62 % the sentence, if possible. % 0.42/0.62 % 0.42/0.62 % Refs : [Car86] Carroll (1986), Lewis Carroll's Symbolic Logic % 0.42/0.62 % Source : [ANL] % 0.42/0.62 % Names : boys.ver1.in [ANL] % 0.42/0.62 % 0.42/0.62 % Status : Unsatisfiable % 0.42/0.62 % Rating : 0.00 v2.0.0 % 0.42/0.62 % Syntax : Number of clauses : 20 ( 3 unt; 8 nHn; 20 RR) % 0.42/0.63 % Number of literals : 49 ( 0 equ; 24 neg) % 0.42/0.63 % Maximal clause size : 4 ( 2 avg) % 0.42/0.63 % Maximal term depth : 0 ( 0 avg) % 0.42/0.63 % Number of predicates : 13 ( 13 usr; 13 prp; 0-0 aty) % 0.42/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.42/0.63 % Number of variables : 0 ( 0 sgn) % 0.42/0.63 % SPC : CNF_UNS_PRP % 0.42/0.63 % 0.42/0.63 % Comments : % 0.42/0.63 %-------------------------------------------------------------------------- % 0.42/0.63 cnf(c1,axiom, % 0.42/0.63 ( ~ some_english_sing % 0.42/0.63 | ~ some_english_sing_not % 0.42/0.63 | some_monitors_are_awake ) ). % 0.42/0.63 % 0.42/0.63 cnf(c2,axiom, % 0.42/0.63 ( ~ some_scotch_dance % 0.42/0.63 | ~ some_irish_fight % 0.42/0.63 | some_welsh_eat ) ). % 0.42/0.63 % 0.42/0.63 cnf(c3,axiom, % 0.42/0.63 ( ~ some_germans_play % 0.42/0.63 | some_germans_play_not % 0.42/0.63 | some_of_the_eleven_are_not_oiling ) ). % 0.42/0.63 % 0.42/0.63 cnf(c4,axiom, % 0.42/0.63 ( ~ some_monitors_are_awake % 0.42/0.63 | ~ some_monitors_are_not_awake % 0.42/0.63 | some_irish_fight ) ). % 0.42/0.63 % 0.42/0.63 cnf(c5,axiom, % 0.42/0.63 ( ~ some_germans_play % 0.42/0.63 | some_scotch_dance % 0.42/0.63 | some_welsh_eat_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c6,axiom, % 0.42/0.63 ( ~ some_scotch_dance_not % 0.42/0.63 | ~ some_irish_fight_not % 0.42/0.63 | some_germans_play ) ). % 0.42/0.63 % 0.42/0.63 cnf(c7,axiom, % 0.42/0.63 ( ~ some_monitors_are_awake % 0.42/0.63 | ~ some_welsh_eat % 0.42/0.63 | ~ some_scotch_dance ) ). % 0.42/0.63 % 0.42/0.63 cnf(c8,axiom, % 0.42/0.63 ( ~ some_germans_play_not % 0.42/0.63 | ~ some_welsh_eat_not % 0.42/0.63 | ~ some_irish_fight ) ). % 0.42/0.63 % 0.42/0.63 cnf(c9,axiom, % 0.42/0.63 ( ~ some_english_sing % 0.42/0.63 | some_english_sing_not % 0.42/0.63 | ~ some_scotch_dance_not % 0.42/0.63 | ~ some_germans_play ) ). % 0.42/0.63 % 0.42/0.63 cnf(c10,axiom, % 0.42/0.63 ( ~ some_english_sing % 0.42/0.63 | ~ some_monitors_are_not_awake % 0.42/0.63 | some_irish_fight_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c11,axiom, % 0.42/0.63 ( ~ some_monitors_are_awake % 0.42/0.63 | ~ some_of_the_eleven_are_not_oiling % 0.42/0.63 | some_scotch_dance ) ). % 0.42/0.63 % 0.42/0.63 cnf(c12,axiom, % 0.42/0.63 ( some_english_sing_not % 0.42/0.63 | some_english_sing ) ). % 0.42/0.63 % 0.42/0.63 cnf(c13,axiom, % 0.42/0.63 ( some_monitors_are_not_awake % 0.42/0.63 | some_monitors_are_awake ) ). % 0.42/0.63 % 0.42/0.63 cnf(c14,axiom, % 0.42/0.63 ( some_scotch_dance % 0.42/0.63 | some_scotch_dance_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c15,axiom, % 0.42/0.63 ( some_irish_fight % 0.42/0.63 | some_irish_fight_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c16,axiom, % 0.42/0.63 ( some_welsh_eat % 0.42/0.63 | some_welsh_eat_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c17,axiom, % 0.42/0.63 ( some_germans_play % 0.42/0.63 | some_germans_play_not ) ). % 0.42/0.63 % 0.42/0.63 cnf(c18,axiom, % 0.42/0.63 some_english_sing ). % 0.42/0.63 % 0.42/0.63 cnf(c19,axiom, % 0.42/0.63 some_scotch_dance_not ). % 0.42/0.63 % 0.42/0.63 cnf(prove_some_monitors_are_awake,negated_conjecture, % 0.42/0.63 ~ some_monitors_are_awake ). % 0.42/0.63 % 0.42/0.63 %-------------------------------------------------------------------------- % 0.42/0.63 %------------------------------------------- % 0.42/0.63 % Proof found % 0.42/0.63 % SZS status Theorem for theBenchmark % 0.42/0.63 % SZS output start Proof % 0.42/0.63 %ClaNum:20(EqnAxiom:0) % 0.42/0.63 %VarNum:0(SingletonVarNum:0) % 0.42/0.63 %MaxLitNum:4 % 0.42/0.63 %MaxfuncDepth:0 % 0.42/0.63 %SharedTerms:27 % 0.42/0.63 %goalClause: 3 % 0.42/0.63 %singleGoalClaCount:1 % 0.42/0.63 [1]P1(a5000) % 0.42/0.63 [2]P2(a5000) % 0.42/0.63 [3]~P3(a5000) % 0.42/0.63 [5]P3(a5000)+P9(a5000) % 0.42/0.63 [7]P5(a5000)+P8(a5000) % 0.42/0.63 [8]P12(a5000)+P13(a5000) % 0.42/0.63 [9]P6(a5000)+P7(a5000) % 0.42/0.63 [10]P10(a5000)+P13(a5000)+~P6(a5000) % 0.42/0.63 [11]P7(a5000)+P11(a5000)+~P6(a5000) % 0.42/0.63 [12]P3(a5000)+~P1(a5000)+~P4(a5000) % 0.42/0.63 [15]P12(a5000)+~P10(a5000)+~P5(a5000) % 0.42/0.63 [16]P6(a5000)+~P2(a5000)+~P8(a5000) % 0.42/0.63 [17]P8(a5000)+~P1(a5000)+~P9(a5000) % 0.42/0.63 [19]~P5(a5000)+~P7(a5000)+~P13(a5000) % 0.42/0.63 [20]P4(a5000)+~P1(a5000)+~P6(a5000)+~P2(a5000) % 0.42/0.63 %EqnAxiom % 0.42/0.63 % 0.42/0.63 %------------------------------------------- % 0.57/0.63 cnf(25,plain, % 0.57/0.63 ($false), % 0.57/0.63 inference(scs_inference,[],[3,1,2,5,12,20,16,17]), % 0.57/0.63 ['proof']). % 0.57/0.63 % SZS output end Proof % 0.57/0.63 % Total time :0.000000s %------------------------------------------------------------------------------