TSTP Solution File: PUZ001-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 19:12:12 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   36 (  17 unt;  10 nHn;  32 RR)
%            Number of literals    :   62 (  21 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(killer_hates_victim,axiom,
    ( hates(X1,X2)
    | ~ killed(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',killer_hates_victim) ).

cnf(someone_killed_agatha,axiom,
    killed(someone,aunt_agatha),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',someone_killed_agatha) ).

cnf(noone_else_lives_at_mansion,axiom,
    ( X1 = aunt_agatha
    | X1 = butler
    | X1 = charles
    | ~ lives_at_dreadsbury(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',noone_else_lives_at_mansion) ).

cnf(someone_in_mansion,axiom,
    lives_at_dreadsbury(someone),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',someone_in_mansion) ).

cnf(noone_hates_everyone,axiom,
    ~ hates(X1,every_one_but(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',noone_hates_everyone) ).

cnf(butler_and_agatha_hate_the_same_people,axiom,
    ( hates(butler,X1)
    | ~ hates(aunt_agatha,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',butler_and_agatha_hate_the_same_people) ).

cnf(killer_poorer_than_victim,axiom,
    ( ~ killed(X1,X2)
    | ~ richer(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',killer_poorer_than_victim) ).

cnf(butler_hates_poor_people,axiom,
    ( richer(X1,aunt_agatha)
    | hates(butler,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',butler_hates_poor_people) ).

cnf(charles_and_agatha_hate_different_people,axiom,
    ( ~ hates(aunt_agatha,X1)
    | ~ hates(charles,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',charles_and_agatha_hate_different_people) ).

cnf(agatha_likes_only_butler,axiom,
    ( X1 = butler
    | hates(aunt_agatha,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',agatha_likes_only_butler) ).

cnf(agatha_is_not_the_butler,axiom,
    aunt_agatha != butler,
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',agatha_is_not_the_butler) ).

cnf(prove_agatha_killed_herself,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    file('/export/starexec/sandbox2/tmp/tmp.gky9JC8UA3/E---3.1_7291.p',prove_agatha_killed_herself) ).

cnf(c_0_12,axiom,
    ( hates(X1,X2)
    | ~ killed(X1,X2) ),
    killer_hates_victim ).

cnf(c_0_13,axiom,
    killed(someone,aunt_agatha),
    someone_killed_agatha ).

cnf(c_0_14,axiom,
    ( X1 = aunt_agatha
    | X1 = butler
    | X1 = charles
    | ~ lives_at_dreadsbury(X1) ),
    noone_else_lives_at_mansion ).

cnf(c_0_15,axiom,
    lives_at_dreadsbury(someone),
    someone_in_mansion ).

cnf(c_0_16,plain,
    hates(someone,aunt_agatha),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( someone = charles
    | someone = butler
    | someone = aunt_agatha ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ~ hates(X1,every_one_but(X1)),
    noone_hates_everyone ).

cnf(c_0_19,axiom,
    ( hates(butler,X1)
    | ~ hates(aunt_agatha,X1) ),
    butler_and_agatha_hate_the_same_people ).

cnf(c_0_20,axiom,
    ( ~ killed(X1,X2)
    | ~ richer(X1,X2) ),
    killer_poorer_than_victim ).

cnf(c_0_21,axiom,
    ( richer(X1,aunt_agatha)
    | hates(butler,X1) ),
    butler_hates_poor_people ).

cnf(c_0_22,axiom,
    ( ~ hates(aunt_agatha,X1)
    | ~ hates(charles,X1) ),
    charles_and_agatha_hate_different_people ).

cnf(c_0_23,plain,
    ( someone = aunt_agatha
    | someone = butler
    | hates(charles,aunt_agatha) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    ~ hates(aunt_agatha,every_one_but(butler)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,axiom,
    ( X1 = butler
    | hates(aunt_agatha,X1) ),
    agatha_likes_only_butler ).

cnf(c_0_26,plain,
    ( hates(butler,X1)
    | ~ killed(X1,aunt_agatha) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( someone = butler
    | someone = aunt_agatha
    | ~ hates(aunt_agatha,aunt_agatha) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,axiom,
    aunt_agatha != butler,
    agatha_is_not_the_butler ).

cnf(c_0_29,plain,
    every_one_but(butler) = butler,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    hates(butler,someone),
    inference(spm,[status(thm)],[c_0_26,c_0_13]) ).

cnf(c_0_31,plain,
    ( someone = aunt_agatha
    | someone = butler ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_28]) ).

cnf(c_0_32,plain,
    ~ hates(butler,butler),
    inference(spm,[status(thm)],[c_0_18,c_0_29]) ).

cnf(c_0_33,plain,
    someone = aunt_agatha,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_34,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    prove_agatha_killed_herself ).

cnf(c_0_35,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_33]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Oct  2 19:17:37 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  Running first-order model finding
% 0.21/0.51  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.gky9JC8UA3/E---3.1_7291.p
% 0.21/0.52  # Version: 3.1pre001
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7368 completed with status 0
% 0.21/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: FGHSF-FFSS11-SFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.52  # Starting sh5l with 136s (1) cores
% 0.21/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7374 completed with status 0
% 0.21/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: FGHSF-FFSS11-SFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.001 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Unsatisfiable
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 15
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.52  # Initial clauses                      : 15
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 15
% 0.21/0.52  # Processed clauses                    : 48
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 2
% 0.21/0.52  # ...remaining for further processing  : 46
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 6
% 0.21/0.52  # Backward-rewritten                   : 6
% 0.21/0.52  # Generated clauses                    : 25
% 0.21/0.52  # ...of the previous two non-redundant : 26
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 22
% 0.21/0.52  # Factorizations                       : 3
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Total rewrite steps                  : 9
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 19
% 0.21/0.52  #    Positive orientable unit clauses  : 6
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 5
% 0.21/0.52  #    Non-unit-clauses                  : 8
% 0.21/0.52  # Current number of unprocessed clauses: 6
% 0.21/0.52  # ...number of literals in the above   : 15
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 27
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 23
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 22
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 6
% 0.21/0.52  # Unit Clause-clause subsumption calls : 2
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 2
% 0.21/0.52  # BW rewrite match successes           : 2
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 407
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.004 s
% 0.21/0.52  # System time              : 0.001 s
% 0.21/0.52  # Total time               : 0.005 s
% 0.21/0.52  # Maximum resident set size: 1616 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.011 s
% 0.21/0.52  # System time              : 0.006 s
% 0.21/0.52  # Total time               : 0.017 s
% 0.21/0.52  # Maximum resident set size: 1680 pages
% 0.21/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------