TSTP Solution File: PUZ027-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 02:24:43 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   50 (  10 unt;   4 nHn;  48 RR)
%            Number of literals    :  119 (   0 equ;  79 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-1 aty)
%            Number of variables   :    5 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_and_b_normal,hypothesis,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).

cnf(prove_there_is_an_answer,negated_conjecture,
    ~ answer(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

cnf(a_liar_b_normal,hypothesis,
    ( answer(a_liar_b_normal)
    | ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).

cnf(a_truthteller_b_normal,hypothesis,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).

cnf(a_normal_b_liar,hypothesis,
    ( answer(a_normal_b_liar)
    | ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).

cnf(person_is_one_type,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1))
    | a_truth(normal(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).

cnf(a_normal_b_truthteller,hypothesis,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).

cnf(a_and_b_liar,hypothesis,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_liar) ).

cnf(a_truthteller_b_liar,hypothesis,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).

cnf(a_liar_b_truthteller,hypothesis,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).

cnf(a_and_b_truthteller,hypothesis,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).

cnf(c_0_11,hypothesis,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    inference(fof_simplification,[status(thm)],[a_and_b_normal]) ).

cnf(c_0_12,negated_conjecture,
    ~ answer(X1),
    inference(fof_simplification,[status(thm)],[prove_there_is_an_answer]) ).

cnf(c_0_13,hypothesis,
    ( answer(a_liar_b_normal)
    | ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    inference(fof_simplification,[status(thm)],[a_liar_b_normal]) ).

cnf(c_0_14,hypothesis,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    inference(fof_simplification,[status(thm)],[a_truthteller_b_normal]) ).

cnf(c_0_15,hypothesis,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    c_0_11 ).

cnf(c_0_16,negated_conjecture,
    ~ answer(X1),
    c_0_12 ).

cnf(c_0_17,hypothesis,
    ( answer(a_liar_b_normal)
    | ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    c_0_13 ).

cnf(c_0_18,hypothesis,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    c_0_14 ).

cnf(c_0_19,hypothesis,
    ( answer(a_normal_b_liar)
    | ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    inference(fof_simplification,[status(thm)],[a_normal_b_liar]) ).

cnf(c_0_20,hypothesis,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1))
    | a_truth(normal(X1)) ),
    person_is_one_type ).

cnf(c_0_22,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_23,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_18,c_0_16]) ).

cnf(c_0_24,hypothesis,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    inference(fof_simplification,[status(thm)],[a_normal_b_truthteller]) ).

cnf(c_0_25,hypothesis,
    ( answer(a_normal_b_liar)
    | ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    c_0_19 ).

cnf(c_0_26,hypothesis,
    ~ a_truth(normal(b)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_27,hypothesis,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    c_0_24 ).

cnf(c_0_28,hypothesis,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    inference(fof_simplification,[status(thm)],[a_and_b_liar]) ).

cnf(c_0_29,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    inference(sr,[status(thm)],[c_0_25,c_0_16]) ).

cnf(c_0_30,hypothesis,
    ( a_truth(liar(b))
    | a_truth(truthteller(b)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_31,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(normal(a)) ),
    inference(sr,[status(thm)],[c_0_27,c_0_16]) ).

cnf(c_0_32,hypothesis,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    inference(fof_simplification,[status(thm)],[a_truthteller_b_liar]) ).

cnf(c_0_33,hypothesis,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    c_0_28 ).

cnf(c_0_34,hypothesis,
    ~ a_truth(normal(a)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_35,hypothesis,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    c_0_32 ).

cnf(c_0_36,hypothesis,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    inference(fof_simplification,[status(thm)],[a_liar_b_truthteller]) ).

cnf(c_0_37,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    inference(sr,[status(thm)],[c_0_33,c_0_16]) ).

cnf(c_0_38,hypothesis,
    ( a_truth(liar(a))
    | a_truth(truthteller(a)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_21]) ).

cnf(c_0_39,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    inference(sr,[status(thm)],[c_0_35,c_0_16]) ).

cnf(c_0_40,hypothesis,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    c_0_36 ).

cnf(c_0_41,hypothesis,
    ~ a_truth(liar(b)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_42,hypothesis,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    inference(fof_simplification,[status(thm)],[a_and_b_truthteller]) ).

cnf(c_0_43,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(a)) ),
    inference(sr,[status(thm)],[c_0_40,c_0_16]) ).

cnf(c_0_44,hypothesis,
    a_truth(truthteller(b)),
    inference(sr,[status(thm)],[c_0_30,c_0_41]) ).

cnf(c_0_45,hypothesis,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    c_0_42 ).

cnf(c_0_46,hypothesis,
    ~ a_truth(liar(a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_47,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    inference(sr,[status(thm)],[c_0_45,c_0_16]) ).

cnf(c_0_48,hypothesis,
    a_truth(truthteller(a)),
    inference(sr,[status(thm)],[c_0_38,c_0_46]) ).

cnf(c_0_49,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_44])]),c_0_48])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n015.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 10:25:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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: FSMSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI 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  # new_bool_3 with pid 13970 completed with status 0
% 0.21/0.50  # Result found by new_bool_3
% 0.21/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.21/0.50  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 13976 completed with status 0
% 0.21/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.21/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (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                        : 32
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 32
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 32
% 0.21/0.50  # Processed clauses                    : 74
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 2
% 0.21/0.50  # ...remaining for further processing  : 71
% 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                    : 7
% 0.21/0.50  # Backward-rewritten                   : 4
% 0.21/0.50  # Generated clauses                    : 30
% 0.21/0.50  # ...of the previous two non-redundant : 31
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 5
% 0.21/0.50  # Paramodulations                      : 28
% 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                  : 5
% 0.21/0.50  # ...of those cached                   : 3
% 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  : 26
% 0.21/0.50  #    Positive orientable unit clauses  : 5
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 6
% 0.21/0.50  #    Non-unit-clauses                  : 15
% 0.21/0.50  # Current number of unprocessed clauses: 21
% 0.21/0.50  # ...number of literals in the above   : 53
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 45
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 192
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 129
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 5
% 0.21/0.50  # Unit Clause-clause subsumption calls : 13
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 1
% 0.21/0.50  # BW rewrite match successes           : 1
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 1648
% 0.21/0.50  # Search garbage collected termcells   : 73
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.008 s
% 0.21/0.50  # System time              : 0.000 s
% 0.21/0.50  # Total time               : 0.008 s
% 0.21/0.50  # Maximum resident set size: 1756 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.010 s
% 0.21/0.50  # System time              : 0.002 s
% 0.21/0.50  # Total time               : 0.011 s
% 0.21/0.50  # Maximum resident set size: 1764 pages
% 0.21/0.50  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------