TSTP Solution File: PUZ006-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : PUZ006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n011.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 : Thu Aug 31 13:10:50 EDT 2023

% Result   : Unsatisfiable 0.20s 0.68s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n011.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   : Sat Aug 26 22:27:54 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 0.20/0.67  %-------------------------------------------
% 0.20/0.67  % File        :CSE---1.6
% 0.20/0.67  % Problem     :theBenchmark
% 0.20/0.67  % Transform   :cnf
% 0.20/0.67  % Format      :tptp:raw
% 0.20/0.67  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.67  
% 0.20/0.67  % Result      :Theorem 0.040000s
% 0.20/0.67  % Output      :CNFRefutation 0.040000s
% 0.20/0.67  %-------------------------------------------
% 0.20/0.68  %--------------------------------------------------------------------------
% 0.20/0.68  % File     : PUZ006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.68  % Domain   : Puzzles
% 0.20/0.68  % Problem  : Determine sex and race on Mars and Venus
% 0.20/0.68  % Version  : Especial.
% 0.20/0.68  % English  : Here's the situation: human observers in this exclusive club
% 0.20/0.68  %            on Ganymede can't distinguish Martians from Venusians, males
% 0.20/0.68  %            from females, except for the fact that Venusian women and
% 0.20/0.68  %            Martian men always tell the truth and Venusian men and
% 0.20/0.68  %            Martian women always lie.
% 0.20/0.68  %            Ork says "Bog is from Venus."  Bog says "Ork is from Mars."
% 0.20/0.68  %            Ork says "Bog is male."  Bog says "Ork is female." Who's
% 0.20/0.68  %            what?  (sex & race).
% 0.20/0.68  
% 0.20/0.68  % Refs     :
% 0.20/0.68  % Source   : [ANL]
% 0.20/0.68  % Names    : mars_venus.in [ANL]
% 0.20/0.68  
% 0.20/0.68  % Status   : Unsatisfiable
% 0.20/0.68  % 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, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0
% 0.20/0.68  % Syntax   : Number of clauses     :   29 (   5 unt;   4 nHn;  25 RR)
% 0.20/0.68  %            Number of literals    :   60 (   1 equ;  32 neg)
% 0.20/0.68  %            Maximal clause size   :    3 (   2 avg)
% 0.20/0.68  %            Maximal term depth    :    2 (   1 avg)
% 0.20/0.68  %            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
% 0.20/0.68  %            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
% 0.20/0.68  %            Number of variables   :   20 (   1 sgn)
% 0.20/0.68  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.68  
% 0.20/0.68  % Comments :
% 0.20/0.68  %--------------------------------------------------------------------------
% 0.20/0.68  %----Include Mars and Venus axioms
% 0.20/0.68  include('Axioms/PUZ001-0.ax').
% 0.20/0.68  %--------------------------------------------------------------------------
% 0.20/0.68  %----Ork says "Bog is from Venus."  Bog says "Ork is from Mars." Ork says
% 0.20/0.68  %----"Bog is male."  Bog says "Ork is female.
% 0.20/0.68  cnf(ork_says_bog_is_from_venus,hypothesis,
% 0.20/0.68      says(ork,bog_is_from_venus) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_says_ork_is_from_mar,hypothesis,
% 0.20/0.68      says(bog,ork_is_from_mars) ).
% 0.20/0.68  
% 0.20/0.68  cnf(ork_says_bog_is_male,hypothesis,
% 0.20/0.68      says(ork,bog_is_male) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_says_ork_is_female,hypothesis,
% 0.20/0.68      says(bog,ork_is_female) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_is_from_venus1,hypothesis,
% 0.20/0.68      ( ~ a_truth(bog_is_from_venus)
% 0.20/0.68      | from_venus(bog) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(ork_is_from_mars1,hypothesis,
% 0.20/0.68      ( ~ a_truth(ork_is_from_mars)
% 0.20/0.68      | from_mars(ork) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_is_male1,hypothesis,
% 0.20/0.68      ( ~ a_truth(bog_is_male)
% 0.20/0.68      | male(bog) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(ork_is_female1,hypothesis,
% 0.20/0.68      ( ~ a_truth(ork_is_female)
% 0.20/0.68      | female(ork) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_is_from_venus2,hypothesis,
% 0.20/0.68      ( ~ from_venus(bog)
% 0.20/0.68      | a_truth(bog_is_from_venus) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(ork_is_from_mars2,hypothesis,
% 0.20/0.68      ( ~ from_mars(ork)
% 0.20/0.68      | a_truth(ork_is_from_mars) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(bog_is_male2,hypothesis,
% 0.20/0.68      ( ~ male(bog)
% 0.20/0.68      | a_truth(bog_is_male) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(ork_is_female2,hypothesis,
% 0.20/0.68      ( ~ female(ork)
% 0.20/0.68      | a_truth(ork_is_female) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(prove_bog_is_female,negated_conjecture,
% 0.20/0.68      ~ female(bog) ).
% 0.20/0.68  
% 0.20/0.68  %--------------------------------------------------------------------------
% 0.20/0.68  %-------------------------------------------
% 0.20/0.68  % Proof found
% 0.20/0.68  % SZS status Theorem for theBenchmark
% 0.20/0.68  % SZS output start Proof
% 0.20/0.68  %ClaNum:41(EqnAxiom:13)
% 0.20/0.68  %VarNum:40(SingletonVarNum:18)
% 0.20/0.68  %MaxLitNum:3
% 0.20/0.68  %MaxfuncDepth:1
% 0.20/0.68  %SharedTerms:27
% 0.20/0.68  %goalClause: 18
% 0.20/0.68  %singleGoalClaCount:1
% 0.20/0.68  [14]P1(a1,a2)
% 0.20/0.68  [15]P1(a1,a4)
% 0.20/0.68  [16]P1(a3,a5)
% 0.20/0.68  [17]P1(a3,a6)
% 0.20/0.68  [18]~P2(a3)
% 0.20/0.68  [19]P4(a1)+~P3(a5)
% 0.20/0.68  [20]P5(a3)+~P3(a2)
% 0.20/0.68  [21]P6(a3)+~P3(a4)
% 0.20/0.68  [22]P2(a1)+~P3(a6)
% 0.20/0.68  [23]P3(a2)+~P5(a3)
% 0.20/0.68  [24]P3(a5)+~P4(a1)
% 0.20/0.68  [25]P3(a4)+~P6(a3)
% 0.20/0.68  [26]P3(a6)+~P2(a1)
% 0.20/0.68  [27]P5(x271)+P4(x271)
% 0.20/0.68  [28]P2(x281)+P6(x281)
% 0.20/0.68  [29]P7(x291)+P8(x291)
% 0.20/0.68  [30]~P5(x301)+~P4(x301)
% 0.20/0.68  [31]~P2(x311)+~P6(x311)
% 0.20/0.68  [32]~P7(x321)+~P8(x321)
% 0.20/0.68  [33]P7(x331)+P3(f7(x331))
% 0.20/0.68  [38]P8(x381)+~P3(f7(x381))
% 0.20/0.68  [39]~P1(x392,x391)+E(x391,f7(x392))
% 0.20/0.68  [34]~P4(x341)+~P6(x341)+P8(x341)
% 0.20/0.68  [35]~P5(x351)+~P2(x351)+P8(x351)
% 0.20/0.68  [36]~P4(x361)+~P2(x361)+P7(x361)
% 0.20/0.68  [37]~P5(x371)+~P6(x371)+P7(x371)
% 0.20/0.68  [40]~P1(x402,x401)+P3(x401)+~P8(x402)
% 0.20/0.68  [41]~P1(x411,x412)+~P7(x411)+~P3(x412)
% 0.20/0.68  %EqnAxiom
% 0.20/0.68  [1]E(x11,x11)
% 0.20/0.68  [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.68  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.68  [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.20/0.68  [5]P1(x52,x53)+~E(x51,x52)+~P1(x51,x53)
% 0.20/0.68  [6]P1(x63,x62)+~E(x61,x62)+~P1(x63,x61)
% 0.20/0.68  [7]~P3(x71)+P3(x72)+~E(x71,x72)
% 0.20/0.68  [8]~P7(x81)+P7(x82)+~E(x81,x82)
% 0.20/0.68  [9]~P8(x91)+P8(x92)+~E(x91,x92)
% 0.20/0.68  [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.20/0.68  [11]~P4(x111)+P4(x112)+~E(x111,x112)
% 0.20/0.68  [12]~P5(x121)+P5(x122)+~E(x121,x122)
% 0.20/0.68  [13]~P6(x131)+P6(x132)+~E(x131,x132)
% 0.20/0.68  
% 0.20/0.68  %-------------------------------------------
% 0.20/0.68  cnf(42,plain,
% 0.20/0.68     (P6(a3)),
% 0.20/0.68     inference(scs_inference,[],[18,28])).
% 0.20/0.68  cnf(43,plain,
% 0.20/0.68     (P3(a4)),
% 0.20/0.68     inference(scs_inference,[],[18,28,25])).
% 0.20/0.68  cnf(44,plain,
% 0.20/0.68     (E(a2,f7(a1))),
% 0.20/0.68     inference(scs_inference,[],[18,14,28,25,39])).
% 0.20/0.68  cnf(48,plain,
% 0.20/0.68     (~P7(a1)),
% 0.20/0.68     inference(scs_inference,[],[18,14,15,28,25,39,4,13,41])).
% 0.20/0.68  cnf(65,plain,
% 0.20/0.68     (P8(a1)),
% 0.20/0.68     inference(scs_inference,[],[48,29])).
% 0.20/0.68  cnf(67,plain,
% 0.20/0.68     (P3(f7(a1))),
% 0.20/0.68     inference(scs_inference,[],[48,29,33])).
% 0.20/0.68  cnf(71,plain,
% 0.20/0.68     (~P7(a3)+~P3(a5)),
% 0.20/0.68     inference(scs_inference,[],[16,14,44,48,29,33,6,9,41])).
% 0.20/0.68  cnf(82,plain,
% 0.20/0.68     (P3(a2)),
% 0.20/0.68     inference(scs_inference,[],[14,65,40])).
% 0.20/0.68  cnf(85,plain,
% 0.20/0.68     (~E(f7(a1),a5)+~P7(a3)),
% 0.20/0.68     inference(scs_inference,[],[14,67,65,40,7,71])).
% 0.20/0.68  cnf(87,plain,
% 0.20/0.68     (~E(f7(a1),a5)+~P5(a3)),
% 0.20/0.68     inference(scs_inference,[],[14,42,67,65,44,40,7,71,13,37])).
% 0.20/0.68  cnf(90,plain,
% 0.20/0.68     (P5(a3)),
% 0.20/0.68     inference(scs_inference,[],[82,20])).
% 0.20/0.68  cnf(96,plain,
% 0.20/0.68     (~E(f7(a1),a5)),
% 0.20/0.68     inference(scs_inference,[],[90,87])).
% 0.20/0.68  cnf(97,plain,
% 0.20/0.68     (P7(a3)),
% 0.20/0.68     inference(scs_inference,[],[42,90,37])).
% 0.20/0.68  cnf(108,plain,
% 0.20/0.68     (E(f7(a1),a2)),
% 0.20/0.68     inference(scs_inference,[],[42,90,48,44,37,8,30,36,32,38,2])).
% 0.20/0.68  cnf(109,plain,
% 0.20/0.68     (~P3(a5)),
% 0.20/0.68     inference(scs_inference,[],[42,90,48,44,37,8,30,36,32,38,2,71])).
% 0.20/0.68  cnf(110,plain,
% 0.20/0.68     (E(a4,f7(a1))),
% 0.20/0.68     inference(scs_inference,[],[15,42,90,48,44,37,8,30,36,32,38,2,71,39])).
% 0.20/0.68  cnf(113,plain,
% 0.20/0.68     (~P1(a3,a4)),
% 0.20/0.68     inference(scs_inference,[],[15,43,42,90,48,44,37,8,30,36,32,38,2,71,39,4,41])).
% 0.20/0.68  cnf(116,plain,
% 0.20/0.68     (~E(f7(a1),f7(a3))),
% 0.20/0.68     inference(scs_inference,[],[15,43,42,90,48,44,37,8,30,36,32,38,2,71,39,4,41,7,3])).
% 0.20/0.68  cnf(120,plain,
% 0.20/0.68     (~E(a6,a4)),
% 0.20/0.68     inference(scs_inference,[],[15,17,43,42,90,65,48,44,37,8,30,36,32,38,2,71,39,4,41,7,3,40,9,6])).
% 0.20/0.68  cnf(128,plain,
% 0.20/0.68     (~P4(a1)),
% 0.20/0.68     inference(scs_inference,[],[109,24])).
% 0.20/0.68  cnf(129,plain,
% 0.20/0.68     (~E(f7(a1),a5)),
% 0.20/0.68     inference(scs_inference,[],[97,85])).
% 0.20/0.68  cnf(139,plain,
% 0.20/0.68     (~P3(a6)),
% 0.20/0.68     inference(scs_inference,[],[17,16,96,116,108,110,97,113,48,39,2,3,37,6,41])).
% 0.20/0.68  cnf(149,plain,
% 0.20/0.68     (~P2(a1)),
% 0.20/0.68     inference(scs_inference,[],[139,26])).
% 0.20/0.68  cnf(170,plain,
% 0.20/0.68     ($false),
% 0.20/0.69     inference(scs_inference,[],[129,120,128,149,108,48,28,37,2,3,27]),
% 0.20/0.69     ['proof']).
% 0.20/0.69  % SZS output end Proof
% 0.20/0.69  % Total time :0.040000s
%------------------------------------------------------------------------------