%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ035-1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n024.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 13:42:10 EDT 2024 % Result : Unsatisfiable 0.56s 0.69s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : PUZ035-1 : TPTP v8.2.0. Released v2.0.0. % 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.10/0.31 % Computer : n024.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Tue Jun 18 10:11:23 EDT 2024 % 0.10/0.32 % CPUTime : % 0.16/0.57 start to proof:theBenchmark % 0.56/0.69 %------------------------------------------- % 0.56/0.69 % File :CSE---1.7 % 0.56/0.69 % Problem :theBenchmark % 0.56/0.69 % Transform :cnf % 0.56/0.69 % Format :tptp:raw % 0.56/0.69 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.69 % 0.56/0.69 % Result :Theorem 0.080000s % 0.56/0.69 % Output :CNFRefutation 0.080000s % 0.56/0.69 %------------------------------------------- % 0.56/0.69 %-------------------------------------------------------------------------- % 0.56/0.69 % File : PUZ035-1 : TPTP v8.2.0. Released v2.0.0. % 0.56/0.69 % Domain : Puzzles % 0.56/0.69 % Problem : Knights and Knaves #36 % 0.56/0.69 % Version : [Sto95] axioms. % 0.56/0.69 % English : On an island, there live exactly two types of people: knights % 0.56/0.69 % and knaves. Knights always tell the truth and knaves always % 0.56/0.69 % lie. I landed on the island, met two inhabitants, asked one of % 0.56/0.69 % them: "Is one of you a knight?" and he answered me. What can % 0.56/0.69 % be said about the types of the asked and the other person % 0.56/0.69 % depending on the answer I get? % 0.56/0.69 % 0.56/0.69 % Refs : [Smu78] Smullyan (1978), What is the Name of This Book? The Ri % 0.56/0.69 % : [Sto95] Stolzenburg (1995), Email to Geoff Sutcliffe. % 0.56/0.69 % : [BFS97] Baumgartner et al. (1997), Computing Answers with Mode % 0.56/0.69 % Source : [Sto95] % 0.56/0.69 % Names : Problem 36 [Smu78] % 0.56/0.69 % 0.56/0.69 % Status : Unsatisfiable % 0.56/0.69 % Rating : 0.00 v2.1.0 % 0.56/0.69 % Syntax : Number of clauses : 15 ( 2 unt; 5 nHn; 15 RR) % 0.56/0.69 % Number of literals : 39 ( 0 equ; 23 neg) % 0.56/0.69 % Maximal clause size : 4 ( 2 avg) % 0.56/0.69 % Maximal term depth : 1 ( 1 avg) % 0.56/0.69 % Number of predicates : 5 ( 5 usr; 0 prp; 1-2 aty) % 0.56/0.69 % Number of functors : 6 ( 6 usr; 6 con; 0-0 aty) % 0.56/0.69 % Number of variables : 11 ( 6 sgn) % 0.56/0.69 % SPC : CNF_UNS_EPR_NEQ_NHN % 0.56/0.69 % 0.56/0.69 % Comments : The query allows for disjunctive answer A/X/Y = % 0.56/0.69 % no/knave/knight;yes/knave/knave;yes/knight/knave; % 0.56/0.69 % yes/knight/knight % 0.56/0.69 %-------------------------------------------------------------------------- % 0.56/0.69 %----Everyone's either a knight or a knave % 0.56/0.69 cnf(everyone_a_knight_or_knave,axiom, % 0.56/0.69 ( ~ person(X) % 0.56/0.69 | isa(X,knight) % 0.56/0.69 | isa(X,knave) ) ). % 0.56/0.69 % 0.56/0.69 cnf(not_both_a_knight_and_knave,axiom, % 0.56/0.69 ( ~ isa(X,knight) % 0.56/0.69 | ~ isa(X,knave) ) ). % 0.56/0.69 % 0.56/0.69 cnf(knights_make_true_statements,axiom, % 0.56/0.69 ( ~ isa(X,knight) % 0.56/0.69 | tell_the_truth(X) ) ). % 0.56/0.69 % 0.56/0.69 cnf(knaves_make_false_statements,axiom, % 0.56/0.69 ( ~ isa(X,knave) % 0.56/0.69 | lies(X) ) ). % 0.56/0.69 % 0.56/0.69 cnf(statements_are_true_or_false,axiom, % 0.56/0.69 ( ~ tell_the_truth(X) % 0.56/0.69 | ~ lies(X) ) ). % 0.56/0.69 % 0.56/0.69 %----Possible answer scenarios % 0.56/0.69 cnf(true_one_is_a_knight,axiom, % 0.56/0.69 ( isa(asked,knight) % 0.56/0.69 | isa(other,knight) % 0.56/0.69 | ~ response(yes) % 0.56/0.69 | ~ tell_the_truth(asked) ) ). % 0.56/0.69 % 0.56/0.69 cnf(lie_one_is_a_knight,axiom, % 0.56/0.69 ( isa(asked,knight) % 0.56/0.69 | isa(other,knight) % 0.56/0.69 | ~ response(no) % 0.56/0.69 | ~ lies(asked) ) ). % 0.56/0.69 % 0.56/0.69 cnf(knight_answers1,axiom, % 0.56/0.69 ( ~ response(yes) % 0.56/0.69 | ~ lies(asked) % 0.56/0.69 | ~ isa(Anyone,knight) ) ). % 0.56/0.69 % 0.56/0.69 cnf(knight_answers2,axiom, % 0.56/0.69 ( ~ response(no) % 0.56/0.69 | ~ tell_the_truth(asked) % 0.56/0.69 | ~ isa(Anyone,knight) ) ). % 0.56/0.69 % 0.56/0.69 cnf(knight_answers3,axiom, % 0.56/0.69 ( response(yes) % 0.56/0.69 | ~ tell_the_truth(asked) % 0.56/0.69 | ~ isa(Anyone,knight) ) ). % 0.56/0.69 % 0.56/0.69 cnf(truthful_answer,axiom, % 0.56/0.69 ( response(no) % 0.56/0.69 | isa(asked,knight) % 0.56/0.69 | isa(other,knight) % 0.56/0.69 | ~ tell_the_truth(asked) ) ). % 0.56/0.69 % 0.56/0.69 cnf(two_answers,axiom, % 0.56/0.69 ( response(yes) % 0.56/0.69 | response(no) ) ). % 0.56/0.69 % 0.56/0.69 %----Two people % 0.56/0.69 cnf(asked_person,axiom, % 0.56/0.69 person(asked) ). % 0.56/0.69 % 0.56/0.69 cnf(other_person,axiom, % 0.56/0.69 person(other) ). % 0.56/0.69 % 0.56/0.69 cnf(prove_answer,negated_conjecture, % 0.56/0.69 ( ~ response(A) % 0.56/0.69 | ~ isa(asked,X) % 0.56/0.69 | ~ isa(other,Y) ) ). % 0.56/0.69 % 0.56/0.69 %-------------------------------------------------------------------------- % 0.56/0.69 % 0.56/0.69 %------------------------------------------- % 0.56/0.69 % Proof found % 0.56/0.69 % SZS status Theorem for theBenchmark % 0.56/0.69 % SZS output start Proof % 0.56/0.69 %ClaNum:15(EqnAxiom:0) % 0.56/0.69 %VarNum:17(SingletonVarNum:11) % 0.56/0.69 %MaxLitNum:4 % 0.56/0.69 %MaxfuncDepth:0 % 0.56/0.69 %SharedTerms:16 % 0.56/0.69 %goalClause: 15 % 0.56/0.69 [1]P1(a1) % 0.56/0.69 [2]P1(a2) % 0.56/0.69 [3]P4(a6)+P4(a3) % 0.56/0.69 [4]~P2(x41)+~P5(x41) % 0.56/0.69 [5]P5(x51)+~P3(x51,a4) % 0.56/0.69 [6]P2(x61)+~P3(x61,a5) % 0.56/0.69 [14]~P3(x141,a5)+~P3(x141,a4) % 0.56/0.69 [7]~P3(x71,a4)+P4(a6)+~P5(a1) % 0.56/0.69 [8]~P3(x81,a4)+~P5(a1)+~P4(a3) % 0.56/0.69 [9]~P3(x91,a4)+~P2(a1)+~P4(a6) % 0.56/0.69 [13]~P1(x131)+P3(x131,a5)+P3(x131,a4) % 0.56/0.69 [15]~P4(x151)+~P3(a1,x152)+~P3(a2,x153) % 0.56/0.69 [10]P4(a3)+P3(a1,a4)+P3(a2,a4)+~P5(a1) % 0.56/0.69 [11]P3(a1,a4)+P3(a2,a4)+~P5(a1)+~P4(a6) % 0.56/0.69 [12]P3(a1,a4)+P3(a2,a4)+~P2(a1)+~P4(a3) % 0.56/0.69 %EqnAxiom % 0.56/0.69 % 0.56/0.69 %------------------------------------------- % 0.56/0.70 cnf(16,plain, % 0.56/0.70 (~P3(x161,a4)+P4(a3)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[3,9])). % 0.56/0.70 cnf(17,plain, % 0.56/0.70 (~P2(x171)+~P3(x171,a4)), % 0.56/0.70 inference(scs_inference,[],[4,5])). % 0.56/0.70 cnf(18,plain, % 0.56/0.70 (~P5(x181)+~P3(x181,a5)), % 0.56/0.70 inference(scs_inference,[],[6,4])). % 0.56/0.70 cnf(19,plain, % 0.56/0.70 (~P2(a1)+P3(a1,a5)), % 0.56/0.70 inference(scs_inference,[],[1,17,13])). % 0.56/0.70 cnf(20,plain, % 0.56/0.70 (~P5(a2)+P3(a2,a4)), % 0.56/0.70 inference(scs_inference,[],[2,18,13])). % 0.56/0.70 cnf(28,plain, % 0.56/0.70 (P4(a3)+~P2(a1)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[16,20])). % 0.56/0.70 cnf(29,plain, % 0.56/0.70 (~P3(a1,a5)+P4(a3)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[28,6])). % 0.56/0.70 cnf(32,plain, % 0.56/0.70 (P3(a1,a4)+P4(a3)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[1,29,13])). % 0.56/0.70 cnf(36,plain, % 0.56/0.70 (~P3(a1,x361)+~P3(a2,x362)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[15,3])). % 0.56/0.70 cnf(37,plain, % 0.56/0.70 (~P3(a2,x371)+P4(a3)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[36,32])). % 0.56/0.70 cnf(38,plain, % 0.56/0.70 (P4(a3)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[37,20])). % 0.56/0.70 cnf(39,plain, % 0.56/0.70 (~P3(x391,a4)+~P5(a2)+~P5(a1)), % 0.56/0.70 inference(scs_inference,[],[38,8])). % 0.56/0.70 cnf(40,plain, % 0.56/0.70 (~P5(a1)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[39,20])). % 0.56/0.70 cnf(41,plain, % 0.56/0.70 (~P3(a1,a4)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[40,5])). % 0.56/0.70 cnf(42,plain, % 0.56/0.70 (P3(a1,a5)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[1,41,13])). % 0.56/0.70 cnf(43,plain, % 0.56/0.70 (P2(a1)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[42,6])). % 0.56/0.70 cnf(44,plain, % 0.56/0.70 (~P3(x441,a4)+~P5(a2)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[43,9])). % 0.56/0.70 cnf(45,plain, % 0.56/0.70 (~P4(a6)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[44,20])). % 0.56/0.70 cnf(46,plain, % 0.56/0.70 (~P3(a2,a4)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[45,5])). % 0.56/0.70 cnf(47,plain, % 0.56/0.70 (P3(a2,a5)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[2,46,13])). % 0.56/0.70 cnf(48,plain, % 0.56/0.70 (P2(a2)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[47,6])). % 0.56/0.70 cnf(49,plain, % 0.56/0.70 (P2(a2)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[48,3])). % 0.56/0.70 cnf(50,plain, % 0.56/0.70 (~P3(a2,a4)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[49,17])). % 0.56/0.70 cnf(51,plain, % 0.56/0.70 (P3(a2,a5)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[2,50,13])). % 0.56/0.70 cnf(52,plain, % 0.56/0.70 (~P4(x521)+~P3(a1,x522)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[51,15])). % 0.56/0.70 cnf(53,plain, % 0.56/0.70 (~P3(a1,x531)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[52,3])). % 0.56/0.70 cnf(54,plain, % 0.56/0.70 (P4(a3)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[53,19])). % 0.56/0.70 cnf(55,plain, % 0.56/0.70 (~P3(a1,x551)+~P3(a2,x552)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[54,15])). % 0.56/0.70 cnf(56,plain, % 0.56/0.70 (~P3(a2,x561)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[55,19])). % 0.56/0.70 cnf(57,plain, % 0.56/0.70 (~P2(a1)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[56,47])). % 0.56/0.70 cnf(58,plain, % 0.56/0.70 (~P3(a1,a5)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[57,6])). % 0.56/0.70 cnf(59,plain, % 0.56/0.70 (P3(a1,a4)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[1,58,13])). % 0.56/0.70 cnf(60,plain, % 0.56/0.70 (~P4(a6)+P4(a3)), % 0.56/0.70 inference(scs_inference,[],[59,53])). % 0.56/0.70 cnf(61,plain, % 0.56/0.70 (P4(a3)), % 0.56/0.70 inference(scs_inference,[],[60,3])). % 0.56/0.70 cnf(62,plain, % 0.56/0.70 (~P3(x621,a4)+~P5(a1)), % 0.56/0.70 inference(scs_inference,[],[61,8])). % 0.56/0.70 cnf(63,plain, % 0.56/0.70 (P3(a1,a4)+P3(a2,a4)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[61,12])). % 0.56/0.70 cnf(64,plain, % 0.56/0.70 (~P3(a1,x641)+~P3(a2,x642)), % 0.56/0.70 inference(scs_inference,[],[61,15])). % 0.56/0.70 cnf(65,plain, % 0.56/0.70 (~P5(a1)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[62,59])). % 0.56/0.70 cnf(66,plain, % 0.56/0.70 (~P3(a1,a4)+~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[65,5])). % 0.56/0.70 cnf(67,plain, % 0.56/0.70 (~P4(a6)), % 0.56/0.70 inference(scs_inference,[],[66,59])). % 0.56/0.70 cnf(68,plain, % 0.56/0.70 (~P3(x681,a4)+~P5(a1)), % 0.56/0.70 inference(scs_inference,[],[67,7])). % 0.56/0.70 cnf(69,plain, % 0.56/0.70 (P3(a1,a5)+~P5(a1)), % 0.56/0.70 inference(scs_inference,[],[1,68,13])). % 0.56/0.70 cnf(70,plain, % 0.56/0.70 (~P5(a1)), % 0.56/0.70 inference(scs_inference,[],[69,18])). % 0.56/0.70 cnf(71,plain, % 0.56/0.70 (~P3(a2,x711)+~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[64,42])). % 0.56/0.70 cnf(72,plain, % 0.56/0.70 (~P5(a2)), % 0.56/0.70 inference(scs_inference,[],[71,20])). % 0.56/0.70 cnf(73,plain, % 0.56/0.70 (P3(a2,a4)+~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[70,63,5])). % 0.56/0.70 cnf(74,plain, % 0.56/0.70 (~P2(a1)), % 0.56/0.70 inference(scs_inference,[],[72,73,5])). % 0.56/0.70 cnf(75,plain, % 0.56/0.70 (P3(a1,a5)), % 0.56/0.70 inference(scs_inference,[],[70,1,5,13])). % 0.56/0.70 cnf(77,plain, % 0.56/0.70 ($false), % 0.56/0.70 inference(scs_inference,[],[74,75,6]), % 0.56/0.70 ['proof']). % 0.56/0.70 % SZS output end Proof % 0.56/0.70 % Total time :0.080000s %------------------------------------------------------------------------------