TSTP Solution File: PUZ007-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:12:13 EDT 2023

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   62 (  12 unt;  13 nHn;  56 RR)
%            Number of literals    :  127 (   2 equ;  69 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(liars_make_false_statements,axiom,
    ( ~ liar(X1)
    | ~ says(X1,X2)
    | ~ a_truth(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',liars_make_false_statements) ).

cnf(a_says_hes_from_mars,hypothesis,
    says(a,a_from_mars),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',a_says_hes_from_mars) ).

cnf(marsian_females_are_liars,axiom,
    ( liar(X1)
    | ~ from_mars(X1)
    | ~ female(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',marsian_females_are_liars) ).

cnf(a_from_mars2,hypothesis,
    ( from_mars(a)
    | ~ a_truth(a_from_mars) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',a_from_mars2) ).

cnf(venusian_males_are_liars,axiom,
    ( liar(X1)
    | ~ from_venus(X1)
    | ~ male(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',venusian_males_are_liars) ).

cnf(male_or_female,axiom,
    ( male(X1)
    | female(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',male_or_female) ).

cnf(b_says_a_lies,hypothesis,
    says(b,a_has_lied),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',b_says_a_lies) ).

cnf(truthtellers_make_true_statements,axiom,
    ( a_truth(X2)
    | ~ truthteller(X1)
    | ~ says(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',truthtellers_make_true_statements) ).

cnf(venusian_female_are_truthtellers,axiom,
    ( truthteller(X1)
    | ~ from_venus(X1)
    | ~ female(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',venusian_female_are_truthtellers) ).

cnf(different_sex2,hypothesis,
    ( female(b)
    | ~ male(a) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',different_sex2) ).

cnf(from_mars_or_venus,axiom,
    ( from_mars(X1)
    | from_venus(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',from_mars_or_venus) ).

cnf(one_from_mars,negated_conjecture,
    ( from_mars(b)
    | from_mars(a) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',one_from_mars) ).

cnf(truth_of_bs_statement,hypothesis,
    ( a_truth(a_from_mars)
    | a_truth(statement_by(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',truth_of_bs_statement) ).

cnf(b_states,hypothesis,
    statement_by(b) = a_has_lied,
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',b_states) ).

cnf(a_from_mars1,hypothesis,
    ( a_truth(a_from_mars)
    | ~ from_mars(a) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',a_from_mars1) ).

cnf(not_truthteller_and_liar,axiom,
    ( ~ truthteller(X1)
    | ~ liar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',not_truthteller_and_liar) ).

cnf(false_statements_made_by_liars,axiom,
    ( a_truth(statement_by(X1))
    | liar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',false_statements_made_by_liars) ).

cnf(one_from_venus,negated_conjecture,
    ( from_venus(a)
    | from_venus(b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',one_from_venus) ).

cnf(a_from_mars3,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(statement_by(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p',a_from_mars3) ).

cnf(c_0_19,axiom,
    ( ~ liar(X1)
    | ~ says(X1,X2)
    | ~ a_truth(X2) ),
    liars_make_false_statements ).

cnf(c_0_20,hypothesis,
    says(a,a_from_mars),
    a_says_hes_from_mars ).

cnf(c_0_21,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ liar(a) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,axiom,
    ( liar(X1)
    | ~ from_mars(X1)
    | ~ female(X1) ),
    marsian_females_are_liars ).

cnf(c_0_23,hypothesis,
    ( from_mars(a)
    | ~ a_truth(a_from_mars) ),
    a_from_mars2 ).

cnf(c_0_24,axiom,
    ( liar(X1)
    | ~ from_venus(X1)
    | ~ male(X1) ),
    venusian_males_are_liars ).

cnf(c_0_25,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ female(a) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_26,axiom,
    ( male(X1)
    | female(X1) ),
    male_or_female ).

cnf(c_0_27,hypothesis,
    says(b,a_has_lied),
    b_says_a_lies ).

cnf(c_0_28,axiom,
    ( a_truth(X2)
    | ~ truthteller(X1)
    | ~ says(X1,X2) ),
    truthtellers_make_true_statements ).

cnf(c_0_29,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ male(a)
    | ~ from_venus(a) ),
    inference(spm,[status(thm)],[c_0_21,c_0_24]) ).

cnf(c_0_30,hypothesis,
    ( male(a)
    | ~ a_truth(a_from_mars) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,hypothesis,
    ( ~ a_truth(a_has_lied)
    | ~ liar(b) ),
    inference(spm,[status(thm)],[c_0_19,c_0_27]) ).

cnf(c_0_32,hypothesis,
    ( a_truth(a_from_mars)
    | ~ truthteller(a) ),
    inference(spm,[status(thm)],[c_0_28,c_0_20]) ).

cnf(c_0_33,axiom,
    ( truthteller(X1)
    | ~ from_venus(X1)
    | ~ female(X1) ),
    venusian_female_are_truthtellers ).

cnf(c_0_34,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ from_venus(a) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,hypothesis,
    ( ~ a_truth(a_has_lied)
    | ~ female(b)
    | ~ from_mars(b) ),
    inference(spm,[status(thm)],[c_0_31,c_0_22]) ).

cnf(c_0_36,hypothesis,
    ( female(b)
    | ~ male(a) ),
    different_sex2 ).

cnf(c_0_37,hypothesis,
    ( ~ female(a)
    | ~ from_venus(a) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_38,hypothesis,
    ( ~ a_truth(a_has_lied)
    | ~ male(a)
    | ~ from_mars(b) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,hypothesis,
    ( male(a)
    | ~ from_venus(a) ),
    inference(spm,[status(thm)],[c_0_37,c_0_26]) ).

cnf(c_0_40,hypothesis,
    ( ~ a_truth(a_has_lied)
    | ~ from_venus(a)
    | ~ from_mars(b) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_41,axiom,
    ( from_mars(X1)
    | from_venus(X1) ),
    from_mars_or_venus ).

cnf(c_0_42,negated_conjecture,
    ( from_mars(b)
    | from_mars(a) ),
    one_from_mars ).

cnf(c_0_43,hypothesis,
    ( a_truth(a_from_mars)
    | a_truth(statement_by(b)) ),
    truth_of_bs_statement ).

cnf(c_0_44,hypothesis,
    statement_by(b) = a_has_lied,
    b_states ).

cnf(c_0_45,hypothesis,
    ( a_truth(a_from_mars)
    | ~ from_mars(a) ),
    a_from_mars1 ).

cnf(c_0_46,hypothesis,
    ( from_mars(a)
    | ~ a_truth(a_has_lied) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_47,hypothesis,
    ( a_truth(a_has_lied)
    | a_truth(a_from_mars) ),
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,axiom,
    ( ~ truthteller(X1)
    | ~ liar(X1) ),
    not_truthteller_and_liar ).

cnf(c_0_49,axiom,
    ( a_truth(statement_by(X1))
    | liar(X1) ),
    false_statements_made_by_liars ).

cnf(c_0_50,hypothesis,
    a_truth(a_from_mars),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( from_venus(a)
    | from_venus(b) ),
    one_from_venus ).

cnf(c_0_52,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(statement_by(b)) ),
    a_from_mars3 ).

cnf(c_0_53,plain,
    ( a_truth(statement_by(X1))
    | ~ truthteller(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,hypothesis,
    male(a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_50])]) ).

cnf(c_0_55,negated_conjecture,
    ( from_venus(b)
    | ~ a_truth(a_from_mars) ),
    inference(spm,[status(thm)],[c_0_34,c_0_51]) ).

cnf(c_0_56,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(a_has_lied) ),
    inference(rw,[status(thm)],[c_0_52,c_0_44]) ).

cnf(c_0_57,plain,
    ( a_truth(statement_by(X1))
    | ~ female(X1)
    | ~ from_venus(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_33]) ).

cnf(c_0_58,hypothesis,
    female(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_54])]) ).

cnf(c_0_59,negated_conjecture,
    from_venus(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_50])]) ).

cnf(c_0_60,hypothesis,
    ~ a_truth(a_has_lied),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_50])]) ).

cnf(c_0_61,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_44]),c_0_59])]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 18:48:04 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.22/0.53  Running first-order model finding
% 0.22/0.53  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.kH4Giqo5MT/E---3.1_23668.p
% 0.22/0.54  # Version: 3.1pre001
% 0.22/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23746 completed with status 0
% 0.22/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54  # No SInE strategy applied
% 0.22/0.54  # Search class: FGHSF-FFSM11-SFFFFFNN
% 0.22/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.54  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.54  # Starting sh5l with 136s (1) cores
% 0.22/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23751 completed with status 0
% 0.22/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54  # No SInE strategy applied
% 0.22/0.54  # Search class: FGHSF-FFSM11-SFFFFFNN
% 0.22/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.54  # Preprocessing time       : 0.001 s
% 0.22/0.54  # Presaturation interreduction done
% 0.22/0.54  
% 0.22/0.54  # Proof found!
% 0.22/0.54  # SZS status Unsatisfiable
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.54  # Parsed axioms                        : 28
% 0.22/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.54  # Initial clauses                      : 28
% 0.22/0.54  # Removed in clause preprocessing      : 1
% 0.22/0.54  # Initial clauses in saturation        : 27
% 0.22/0.54  # Processed clauses                    : 141
% 0.22/0.54  # ...of these trivial                  : 6
% 0.22/0.54  # ...subsumed                          : 29
% 0.22/0.54  # ...remaining for further processing  : 106
% 0.22/0.54  # Other redundant clauses eliminated   : 0
% 0.22/0.54  # Clauses deleted for lack of memory   : 0
% 0.22/0.54  # Backward-subsumed                    : 19
% 0.22/0.54  # Backward-rewritten                   : 18
% 0.22/0.54  # Generated clauses                    : 117
% 0.22/0.54  # ...of the previous two non-redundant : 103
% 0.22/0.54  # ...aggressively subsumed             : 0
% 0.22/0.54  # Contextual simplify-reflections      : 5
% 0.22/0.54  # Paramodulations                      : 114
% 0.22/0.54  # Factorizations                       : 0
% 0.22/0.54  # NegExts                              : 0
% 0.22/0.54  # Equation resolutions                 : 0
% 0.22/0.54  # Total rewrite steps                  : 60
% 0.22/0.54  # Propositional unsat checks           : 0
% 0.22/0.54  #    Propositional check models        : 0
% 0.22/0.54  #    Propositional check unsatisfiable : 0
% 0.22/0.54  #    Propositional clauses             : 0
% 0.22/0.54  #    Propositional clauses after purity: 0
% 0.22/0.54  #    Propositional unsat core size     : 0
% 0.22/0.54  #    Propositional preprocessing time  : 0.000
% 0.22/0.54  #    Propositional encoding time       : 0.000
% 0.22/0.54  #    Propositional solver time         : 0.000
% 0.22/0.54  #    Success case prop preproc time    : 0.000
% 0.22/0.54  #    Success case prop encoding time   : 0.000
% 0.22/0.54  #    Success case prop solver time     : 0.000
% 0.22/0.54  # Current number of processed clauses  : 39
% 0.22/0.54  #    Positive orientable unit clauses  : 10
% 0.22/0.54  #    Positive unorientable unit clauses: 0
% 0.22/0.54  #    Negative unit clauses             : 6
% 0.22/0.54  #    Non-unit-clauses                  : 23
% 0.22/0.54  # Current number of unprocessed clauses: 12
% 0.22/0.54  # ...number of literals in the above   : 30
% 0.22/0.54  # Current number of archived formulas  : 0
% 0.22/0.54  # Current number of archived clauses   : 67
% 0.22/0.54  # Clause-clause subsumption calls (NU) : 710
% 0.22/0.54  # Rec. Clause-clause subsumption calls : 466
% 0.22/0.54  # Non-unit clause-clause subsumptions  : 33
% 0.22/0.54  # Unit Clause-clause subsumption calls : 100
% 0.22/0.54  # Rewrite failures with RHS unbound    : 0
% 0.22/0.54  # BW rewrite match attempts            : 4
% 0.22/0.54  # BW rewrite match successes           : 4
% 0.22/0.54  # Condensation attempts                : 0
% 0.22/0.54  # Condensation successes               : 0
% 0.22/0.54  # Termbank termtop insertions          : 1439
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.006 s
% 0.22/0.54  # System time              : 0.002 s
% 0.22/0.54  # Total time               : 0.008 s
% 0.22/0.54  # Maximum resident set size: 1640 pages
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.028 s
% 0.22/0.54  # System time              : 0.006 s
% 0.22/0.54  # Total time               : 0.034 s
% 0.22/0.54  # Maximum resident set size: 1684 pages
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------