TSTP Solution File: PUZ006-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : Tue May 21 02:24:12 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   60 (  24 unt;   6 nHn;  54 RR)
%            Number of literals    :  105 (   5 equ;  52 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(bog_is_male2,hypothesis,
    ( a_truth(bog_is_male)
    | ~ male(bog) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).

cnf(prove_bog_is_female,negated_conjecture,
    ~ female(bog),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).

cnf(liars_make_false_statements,axiom,
    ( ~ liar(X1)
    | ~ says(X1,X2)
    | ~ a_truth(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).

cnf(male_or_female,axiom,
    ( male(X1)
    | female(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).

cnf(ork_says_bog_is_male,hypothesis,
    says(ork,bog_is_male),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).

cnf(bog_is_male1,hypothesis,
    ( male(bog)
    | ~ a_truth(bog_is_male) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male1) ).

cnf(truthtellers_make_true_statements,axiom,
    ( a_truth(X2)
    | ~ truthteller(X1)
    | ~ says(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).

cnf(truthteller_or_liar,axiom,
    ( truthteller(X1)
    | liar(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',truthteller_or_liar) ).

cnf(people_say_their_statements,axiom,
    ( X2 = statement_by(X1)
    | ~ says(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',people_say_their_statements) ).

cnf(bog_says_ork_is_from_mar,hypothesis,
    says(bog,ork_is_from_mars),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).

cnf(venusian_males_are_liars,axiom,
    ( liar(X1)
    | ~ from_venus(X1)
    | ~ male(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).

cnf(bog_is_from_venus1,hypothesis,
    ( from_venus(bog)
    | ~ a_truth(bog_is_from_venus) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).

cnf(ork_says_bog_is_from_venus,hypothesis,
    says(ork,bog_is_from_venus),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).

cnf(bog_says_ork_is_female,hypothesis,
    says(bog,ork_is_female),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).

cnf(ork_is_female2,hypothesis,
    ( a_truth(ork_is_female)
    | ~ female(ork) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).

cnf(ork_is_from_mars2,hypothesis,
    ( a_truth(ork_is_from_mars)
    | ~ from_mars(ork) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).

cnf(from_mars_or_venus,axiom,
    ( from_mars(X1)
    | from_venus(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).

cnf(c_0_17,hypothesis,
    ( a_truth(bog_is_male)
    | ~ male(bog) ),
    inference(fof_simplification,[status(thm)],[bog_is_male2]) ).

cnf(c_0_18,negated_conjecture,
    ~ female(bog),
    inference(fof_simplification,[status(thm)],[prove_bog_is_female]) ).

cnf(c_0_19,plain,
    ( ~ liar(X1)
    | ~ says(X1,X2)
    | ~ a_truth(X2) ),
    inference(fof_simplification,[status(thm)],[liars_make_false_statements]) ).

cnf(c_0_20,hypothesis,
    ( a_truth(bog_is_male)
    | ~ male(bog) ),
    c_0_17 ).

cnf(c_0_21,axiom,
    ( male(X1)
    | female(X1) ),
    male_or_female ).

cnf(c_0_22,negated_conjecture,
    ~ female(bog),
    c_0_18 ).

cnf(c_0_23,plain,
    ( ~ liar(X1)
    | ~ says(X1,X2)
    | ~ a_truth(X2) ),
    c_0_19 ).

cnf(c_0_24,hypothesis,
    says(ork,bog_is_male),
    ork_says_bog_is_male ).

cnf(c_0_25,hypothesis,
    a_truth(bog_is_male),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_26,hypothesis,
    ( male(bog)
    | ~ a_truth(bog_is_male) ),
    inference(fof_simplification,[status(thm)],[bog_is_male1]) ).

cnf(c_0_27,plain,
    ( a_truth(X2)
    | ~ truthteller(X1)
    | ~ says(X1,X2) ),
    inference(fof_simplification,[status(thm)],[truthtellers_make_true_statements]) ).

cnf(c_0_28,hypothesis,
    ~ liar(ork),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_29,axiom,
    ( truthteller(X1)
    | liar(X1) ),
    truthteller_or_liar ).

cnf(c_0_30,plain,
    ( X2 = statement_by(X1)
    | ~ says(X1,X2) ),
    inference(fof_simplification,[status(thm)],[people_say_their_statements]) ).

cnf(c_0_31,hypothesis,
    says(bog,ork_is_from_mars),
    bog_says_ork_is_from_mar ).

cnf(c_0_32,plain,
    ( liar(X1)
    | ~ from_venus(X1)
    | ~ male(X1) ),
    inference(fof_simplification,[status(thm)],[venusian_males_are_liars]) ).

cnf(c_0_33,hypothesis,
    ( male(bog)
    | ~ a_truth(bog_is_male) ),
    c_0_26 ).

cnf(c_0_34,hypothesis,
    ( from_venus(bog)
    | ~ a_truth(bog_is_from_venus) ),
    inference(fof_simplification,[status(thm)],[bog_is_from_venus1]) ).

cnf(c_0_35,plain,
    ( a_truth(X2)
    | ~ truthteller(X1)
    | ~ says(X1,X2) ),
    c_0_27 ).

cnf(c_0_36,hypothesis,
    says(ork,bog_is_from_venus),
    ork_says_bog_is_from_venus ).

cnf(c_0_37,hypothesis,
    truthteller(ork),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,plain,
    ( X2 = statement_by(X1)
    | ~ says(X1,X2) ),
    c_0_30 ).

cnf(c_0_39,hypothesis,
    says(bog,ork_is_female),
    bog_says_ork_is_female ).

cnf(c_0_40,hypothesis,
    ( ~ a_truth(ork_is_from_mars)
    | ~ liar(bog) ),
    inference(spm,[status(thm)],[c_0_23,c_0_31]) ).

cnf(c_0_41,plain,
    ( liar(X1)
    | ~ from_venus(X1)
    | ~ male(X1) ),
    c_0_32 ).

cnf(c_0_42,hypothesis,
    male(bog),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_25])]) ).

cnf(c_0_43,hypothesis,
    ( from_venus(bog)
    | ~ a_truth(bog_is_from_venus) ),
    c_0_34 ).

cnf(c_0_44,hypothesis,
    a_truth(bog_is_from_venus),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_45,hypothesis,
    ( a_truth(ork_is_female)
    | ~ female(ork) ),
    inference(fof_simplification,[status(thm)],[ork_is_female2]) ).

cnf(c_0_46,hypothesis,
    statement_by(bog) = ork_is_female,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,hypothesis,
    ( ~ a_truth(ork_is_from_mars)
    | ~ from_venus(bog) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_48,hypothesis,
    from_venus(bog),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_49,hypothesis,
    ( a_truth(ork_is_female)
    | ~ female(ork) ),
    c_0_45 ).

cnf(c_0_50,hypothesis,
    ork_is_female = ork_is_from_mars,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_46]) ).

cnf(c_0_51,hypothesis,
    ~ a_truth(ork_is_from_mars),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_52,hypothesis,
    ( ~ male(ork)
    | ~ from_venus(ork) ),
    inference(spm,[status(thm)],[c_0_28,c_0_41]) ).

cnf(c_0_53,hypothesis,
    ~ female(ork),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

cnf(c_0_54,hypothesis,
    ( a_truth(ork_is_from_mars)
    | ~ from_mars(ork) ),
    inference(fof_simplification,[status(thm)],[ork_is_from_mars2]) ).

cnf(c_0_55,hypothesis,
    ~ from_venus(ork),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_21]),c_0_53]) ).

cnf(c_0_56,axiom,
    ( from_mars(X1)
    | from_venus(X1) ),
    from_mars_or_venus ).

cnf(c_0_57,hypothesis,
    ( a_truth(ork_is_from_mars)
    | ~ from_mars(ork) ),
    c_0_54 ).

cnf(c_0_58,hypothesis,
    from_mars(ork),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),c_0_51]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 10:46:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  # Version: 3.1.0
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30048 completed with status 0
% 0.21/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FGHSF-FFSS11-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.50  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.50  # Starting sh5l with 136s (1) cores
% 0.21/0.50  # SAT001_MinMin_p005000_rr_RG with pid 30052 completed with status 0
% 0.21/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FGHSF-FFSS11-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Unsatisfiable
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 29
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 29
% 0.21/0.50  # Removed in clause preprocessing      : 1
% 0.21/0.50  # Initial clauses in saturation        : 28
% 0.21/0.50  # Processed clauses                    : 110
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 21
% 0.21/0.50  # ...remaining for further processing  : 89
% 0.21/0.50  # Other redundant clauses eliminated   : 0
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 12
% 0.21/0.50  # Backward-rewritten                   : 12
% 0.21/0.50  # Generated clauses                    : 66
% 0.21/0.50  # ...of the previous two non-redundant : 61
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 66
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 0
% 0.21/0.50  # Disequality decompositions           : 0
% 0.21/0.50  # Total rewrite steps                  : 27
% 0.21/0.50  # ...of those cached                   : 17
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 37
% 0.21/0.50  #    Positive orientable unit clauses  : 13
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 7
% 0.21/0.50  #    Non-unit-clauses                  : 17
% 0.21/0.50  # Current number of unprocessed clauses: 2
% 0.21/0.50  # ...number of literals in the above   : 3
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 52
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 208
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 182
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 7
% 0.21/0.50  # Unit Clause-clause subsumption calls : 64
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 5
% 0.21/0.50  # BW rewrite match successes           : 5
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 1145
% 0.21/0.50  # Search garbage collected termcells   : 47
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.003 s
% 0.21/0.50  # System time              : 0.003 s
% 0.21/0.50  # Total time               : 0.006 s
% 0.21/0.50  # Maximum resident set size: 1664 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.017 s
% 0.21/0.50  # System time              : 0.006 s
% 0.21/0.50  # Total time               : 0.023 s
% 0.21/0.50  # Maximum resident set size: 1712 pages
% 0.21/0.50  % E---3.1 exiting
% 0.21/0.50  % E exiting
%------------------------------------------------------------------------------