%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : PUZ025-1 : 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 : n025.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 13:42:06 EDT 2024
% Result : Unsatisfiable 0.14s 0.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n025.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Jun 18 10:21:08 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.14/0.52 start to proof:theBenchmark
% 0.14/0.58 %-------------------------------------------
% 0.14/0.58 % File :CSE---1.7
% 0.14/0.58 % Problem :theBenchmark
% 0.14/0.58 % Transform :cnf
% 0.14/0.58 % Format :tptp:raw
% 0.14/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.58
% 0.14/0.58 % Result :Theorem 0.030000s
% 0.14/0.58 % Output :CNFRefutation 0.030000s
% 0.14/0.58 %-------------------------------------------
% 0.14/0.58 %--------------------------------------------------------------------------
% 0.14/0.58 % File : PUZ025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.58 % Domain : Puzzles
% 0.14/0.58 % Problem : Knights and Knaves #35
% 0.14/0.58 % Version : Especial.
% 0.14/0.58 % English : There is an island with exactly two types of people -
% 0.14/0.58 % truthtellers who always tell the truth and liars who always lie.
% 0.14/0.58 % There are a group of three people, A, B, and C on the island.
% 0.14/0.58 % A and B make the following statements. A: "B and C are the same
% 0.14/0.58 % type". Someone asks "Are A and B of the same type ? " What does
% 0.14/0.58 % C answer? Answer: "yes"
% 0.14/0.58
% 0.14/0.58 % Refs : [Smu78] Smullyan (1978), What is the Name of this Book?
% 0.14/0.58 % Source : [ANL]
% 0.14/0.58 % Names : Problem 35 [Smu78]
% 0.14/0.58 % : tandl35.ver1.in [ANL]
% 0.14/0.58
% 0.14/0.58 % Status : Unsatisfiable
% 0.14/0.58 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v2.0.0
% 0.14/0.58 % Syntax : Number of clauses : 24 ( 7 unt; 6 nHn; 21 RR)
% 0.14/0.58 % Number of literals : 61 ( 0 equ; 34 neg)
% 0.14/0.58 % Maximal clause size : 4 ( 2 avg)
% 0.14/0.58 % Maximal term depth : 3 ( 1 avg)
% 0.14/0.58 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.14/0.58 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.14/0.58 % Number of variables : 35 ( 3 sgn)
% 0.14/0.58 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.14/0.58
% 0.14/0.58 % Comments :
% 0.14/0.58 %--------------------------------------------------------------------------
% 0.14/0.58 %----Include axioms for truthtellers and liars
% 0.14/0.58 include('Axioms/PUZ002-0.ax').
% 0.14/0.58 %--------------------------------------------------------------------------
% 0.14/0.58 %----The next 6 clause define what is meant by being of equal type
% 0.14/0.58 cnf(two_liars_are_equal,axiom,
% 0.14/0.58 ( ~ people(X,Y,Z)
% 0.14/0.58 | ~ a_truth(liar(X))
% 0.14/0.58 | ~ a_truth(liar(Y))
% 0.14/0.58 | a_truth(equal_type(X,Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(two_truthtellers_are_equal,axiom,
% 0.14/0.58 ( ~ people(X,Y,Z)
% 0.14/0.58 | ~ a_truth(truthteller(X))
% 0.14/0.58 | ~ a_truth(truthteller(Y))
% 0.14/0.58 | a_truth(equal_type(X,Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(truthteller_equals_truthtller,axiom,
% 0.14/0.58 ( ~ a_truth(equal_type(X,Y))
% 0.14/0.58 | ~ a_truth(truthteller(X))
% 0.14/0.58 | a_truth(truthteller(Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(liar_equals_liar,axiom,
% 0.14/0.58 ( ~ a_truth(equal_type(X,Y))
% 0.14/0.58 | ~ a_truth(liar(X))
% 0.14/0.58 | a_truth(liar(Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(truthteller_not_equal_liar,axiom,
% 0.14/0.58 ( ~ a_truth(truthteller(X))
% 0.14/0.58 | a_truth(equal_type(X,Y))
% 0.14/0.58 | a_truth(liar(Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(liar_not_equal_truthteller,axiom,
% 0.14/0.58 ( ~ a_truth(liar(X))
% 0.14/0.58 | a_truth(equal_type(X,Y))
% 0.14/0.58 | a_truth(truthteller(Y)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(symmetry_of_equal_type,axiom,
% 0.14/0.58 ( ~ a_truth(equal_type(X,Y))
% 0.14/0.58 | a_truth(equal_type(Y,X)) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(truthteller_identifies_truths,axiom,
% 0.14/0.58 ( ~ ask_1_if_2(X,Y)
% 0.14/0.58 | ~ a_truth(truthteller(X))
% 0.14/0.58 | ~ a_truth(Y)
% 0.14/0.58 | answer(yes) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(truthteller_denies_lies,axiom,
% 0.14/0.58 ( ~ ask_1_if_2(X,Y)
% 0.14/0.58 | ~ a_truth(truthteller(X))
% 0.14/0.58 | a_truth(Y)
% 0.14/0.58 | answer(no) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(liar_denies_truths,axiom,
% 0.14/0.58 ( ~ ask_1_if_2(X,Y)
% 0.14/0.58 | ~ a_truth(liar(X))
% 0.14/0.58 | ~ a_truth(Y)
% 0.14/0.58 | answer(no) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(liar_supports_lies,axiom,
% 0.14/0.58 ( ~ ask_1_if_2(X,Y)
% 0.14/0.58 | ~ a_truth(liar(X))
% 0.14/0.58 | a_truth(Y)
% 0.14/0.58 | answer(yes) ) ).
% 0.14/0.58
% 0.14/0.58 cnf(b_c_a_are_people,hypothesis,
% 0.14/0.58 people(b,c,a) ).
% 0.14/0.58
% 0.14/0.58 %----bugs here
% 0.14/0.58 cnf(a_b_c_are_people,hypothesis,
% 0.14/0.58 people(a,b,a) ).
% 0.14/0.58
% 0.14/0.58 cnf(a_c_b_are_people,hypothesis,
% 0.14/0.58 people(a,c,b) ).
% 0.14/0.58
% 0.14/0.58 cnf(c_b_a_are_people,hypothesis,
% 0.14/0.58 people(c,b,a) ).
% 0.14/0.58
% 0.14/0.58 cnf(a_says_b_and_c_equal,hypothesis,
% 0.14/0.58 a_truth(says(a,equal_type(b,c))) ).
% 0.14/0.58
% 0.14/0.58 cnf(ask_c_if_a_and_b_equal,hypothesis,
% 0.14/0.58 ask_1_if_2(c,equal_type(a,b)) ).
% 0.14/0.58
% 0.14/0.58 cnf(prove_there_is_an_answer,negated_conjecture,
% 0.14/0.58 ~ answer(Answer) ).
% 0.14/0.58
% 0.14/0.58 %--------------------------------------------------------------------------
% 0.14/0.58 %-------------------------------------------
% 0.14/0.58 % Proof found
% 0.14/0.58 % SZS status Theorem for theBenchmark
% 0.14/0.58 % SZS output start Proof
% 0.14/0.59 %ClaNum:24(EqnAxiom:0)
% 0.14/0.59 %VarNum:71(SingletonVarNum:35)
% 0.14/0.59 %MaxLitNum:4
% 0.14/0.59 %MaxfuncDepth:2
% 0.14/0.59 %SharedTerms:16
% 0.14/0.59 %goalClause: 7
% 0.14/0.59 %singleGoalClaCount:1
% 0.14/0.59 [2]P4(a3,a1,a2)
% 0.14/0.59 [3]P4(a1,a3,a2)
% 0.14/0.59 [4]P4(a2,a3,a2)
% 0.14/0.59 [5]P4(a2,a1,a3)
% 0.14/0.59 [1]P1(a1,f4(a2,a3))
% 0.14/0.59 [6]P2(f5(a2,f4(a3,a1)))
% 0.14/0.59 [7]~P3(x71)
% 0.14/0.59 [8]P2(f6(x81))+P2(f8(x81))
% 0.14/0.59 [9]~P2(f6(x91))+~P2(f8(x91))
% 0.14/0.59 [22]~P2(f4(x222,x221))+P2(f4(x221,x222))
% 0.14/0.59 [14]~P2(f6(x142))+P2(f8(x141))+P2(f4(x142,x141))
% 0.14/0.59 [15]~P2(f8(x152))+P2(f6(x151))+P2(f4(x152,x151))
% 0.14/0.59 [16]P2(x161)+~P2(f5(x162,x161))+P2(f6(x162))
% 0.14/0.59 [17]~P2(x172)+~P2(f5(x171,x172))+P2(f8(x171))
% 0.14/0.59 [18]P2(x181)+~P2(f5(x182,x181))+~P2(f8(x182))
% 0.14/0.59 [19]~P2(x191)+~P2(f5(x192,x191))+~P2(f6(x192))
% 0.14/0.59 [20]~P2(f4(x202,x201))+P2(f8(x201))+~P2(f8(x202))
% 0.14/0.59 [21]~P2(f4(x212,x211))+P2(f6(x211))+~P2(f6(x212))
% 0.14/0.59 [10]P2(x101)+~P1(x102,x101)+P3(a9)+~P2(f6(x102))
% 0.14/0.59 [11]P2(x111)+~P1(x112,x111)+P3(a7)+~P2(f8(x112))
% 0.14/0.59 [12]~P2(x121)+~P1(x122,x121)+P3(a9)+~P2(f8(x122))
% 0.14/0.59 [13]~P2(x131)+~P1(x132,x131)+P3(a7)+~P2(f6(x132))
% 0.14/0.59 [23]~P4(x231,x232,x233)+~P2(f8(x232))+~P2(f8(x231))+P2(f4(x231,x232))
% 0.14/0.59 [24]~P4(x241,x242,x243)+~P2(f6(x242))+~P2(f6(x241))+P2(f4(x241,x242))
% 0.14/0.59 %EqnAxiom
% 0.14/0.59
% 0.14/0.59 %-------------------------------------------
% 0.14/0.59 cnf(25,plain,
% 0.14/0.59 (P2(f4(a2,a3))+~P2(f6(a1))),
% 0.14/0.59 inference(scs_inference,[],[7,1,10])).
% 0.14/0.59 cnf(34,plain,
% 0.14/0.59 (P2(x341)+~P1(x342,x341)+~P2(f6(x342))),
% 0.14/0.59 inference(scs_inference,[],[7,10])).
% 0.14/0.59 cnf(35,plain,
% 0.14/0.59 (P2(x351)+~P1(x352,x351)+~P2(f8(x352))),
% 0.14/0.59 inference(scs_inference,[],[7,11])).
% 0.14/0.59 cnf(36,plain,
% 0.14/0.59 (~P2(x361)+~P1(x362,x361)+~P2(f8(x362))),
% 0.14/0.59 inference(scs_inference,[],[7,12])).
% 0.14/0.59 cnf(37,plain,
% 0.14/0.59 (~P2(x371)+~P1(x372,x371)+~P2(f6(x372))),
% 0.14/0.59 inference(scs_inference,[],[7,13])).
% 0.14/0.59 cnf(39,plain,
% 0.14/0.59 (~P2(f6(a1))+P2(f4(a3,a2))),
% 0.14/0.59 inference(scs_inference,[],[25,22])).
% 0.14/0.59 cnf(40,plain,
% 0.14/0.59 (P2(f4(a3,a2))+P2(f8(a1))),
% 0.14/0.59 inference(scs_inference,[],[39,8])).
% 0.14/0.59 cnf(41,plain,
% 0.14/0.59 (P2(f8(a1))+P2(f4(a2,a3))),
% 0.14/0.59 inference(scs_inference,[],[40,22])).
% 0.14/0.59 cnf(42,plain,
% 0.14/0.59 (P2(f4(a2,a3))),
% 0.14/0.59 inference(scs_inference,[],[1,41,35])).
% 0.14/0.59 cnf(44,plain,
% 0.14/0.59 (P2(f6(a1))),
% 0.14/0.59 inference(scs_inference,[],[42,1,36,8])).
% 0.14/0.59 cnf(45,plain,
% 0.14/0.59 (P2(f4(a3,a2))),
% 0.14/0.59 inference(scs_inference,[],[44,39])).
% 0.14/0.59 cnf(61,plain,
% 0.14/0.59 (P2(f4(x611,a1))+P2(f8(x611))),
% 0.14/0.59 inference(scs_inference,[],[44,14,22])).
% 0.14/0.59 cnf(68,plain,
% 0.14/0.59 (P2(f4(a1,a1))),
% 0.14/0.59 inference(scs_inference,[],[44,61,9])).
% 0.14/0.59 cnf(73,plain,
% 0.14/0.59 (~P2(f8(a2))+P2(f6(a3))),
% 0.14/0.59 inference(scs_inference,[],[44,1,15,37])).
% 0.14/0.59 cnf(128,plain,
% 0.14/0.59 (P2(f6(a3))+~P2(f8(a3))),
% 0.14/0.59 inference(scs_inference,[],[45,20,73])).
% 0.14/0.59 cnf(133,plain,
% 0.14/0.59 (~P2(f8(a3))),
% 0.14/0.59 inference(scs_inference,[],[128,9])).
% 0.14/0.59 cnf(136,plain,
% 0.14/0.59 (~P2(f5(a3,f4(a1,a1)))),
% 0.14/0.59 inference(scs_inference,[],[68,133,8,17])).
% 0.14/0.59 cnf(138,plain,
% 0.14/0.59 (~P2(f8(a2))),
% 0.14/0.59 inference(scs_inference,[],[68,133,42,8,17,20])).
% 0.14/0.59 cnf(160,plain,
% 0.14/0.59 ($false),
% 0.14/0.59 inference(scs_inference,[],[136,138,133,44,6,8,17,37,34,22,61]),
% 0.14/0.59 ['proof']).
% 0.14/0.59 % SZS output end Proof
% 0.14/0.59 % Total time :0.030000s
%------------------------------------------------------------------------------