TSTP Solution File: PUZ012-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PUZ012-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Sat May  4 09:11:45 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   37 (  21 unt;   4 nHn;  33 RR)
%            Number of literals    :   60 (   0 equ;  31 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(label_is_wrong,axiom,
    ( ~ label(X1,X2)
    | ~ contains(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',label_is_wrong) ).

cnf(prove_boxa_contains_bananas_and_boxc_oranges,negated_conjecture,
    ( ~ contains(boxa,bananas)
    | ~ contains(boxc,oranges) ),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',prove_boxa_contains_bananas_and_boxc_oranges) ).

cnf(boxb_labelled_oranges,hypothesis,
    label(boxb,oranges),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',boxb_labelled_oranges) ).

cnf(each_thing_is_in_a_box,axiom,
    ( contains(boxa,X1)
    | contains(boxb,X1)
    | contains(boxc,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',each_thing_is_in_a_box) ).

cnf(boxa_labelled_apples,hypothesis,
    label(boxa,apples),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',boxa_labelled_apples) ).

cnf(contains_is_well_defined1,axiom,
    ( equal_fruits(X2,X3)
    | ~ contains(X1,X2)
    | ~ contains(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',contains_is_well_defined1) ).

cnf(each_box_contains_something,axiom,
    ( contains(X1,apples)
    | contains(X1,bananas)
    | contains(X1,oranges) ),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',each_box_contains_something) ).

cnf(bananas_not_oranges,axiom,
    ~ equal_fruits(bananas,oranges),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',bananas_not_oranges) ).

cnf(boxc_labelled_bananas,hypothesis,
    label(boxc,bananas),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',boxc_labelled_bananas) ).

cnf(apples_not_bananas,axiom,
    ~ equal_fruits(apples,bananas),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',apples_not_bananas) ).

cnf(boxb_contains_apples,hypothesis,
    contains(boxb,apples),
    file('/export/starexec/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.p',boxb_contains_apples) ).

cnf(c_0_11,plain,
    ( ~ label(X1,X2)
    | ~ contains(X1,X2) ),
    inference(fof_simplification,[status(thm)],[label_is_wrong]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ contains(boxa,bananas)
    | ~ contains(boxc,oranges) ),
    inference(fof_simplification,[status(thm)],[prove_boxa_contains_bananas_and_boxc_oranges]) ).

cnf(c_0_13,plain,
    ( ~ label(X1,X2)
    | ~ contains(X1,X2) ),
    c_0_11 ).

cnf(c_0_14,hypothesis,
    label(boxb,oranges),
    boxb_labelled_oranges ).

cnf(c_0_15,negated_conjecture,
    ( ~ contains(boxa,bananas)
    | ~ contains(boxc,oranges) ),
    c_0_12 ).

cnf(c_0_16,axiom,
    ( contains(boxa,X1)
    | contains(boxb,X1)
    | contains(boxc,X1) ),
    each_thing_is_in_a_box ).

cnf(c_0_17,hypothesis,
    ~ contains(boxb,oranges),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,hypothesis,
    label(boxa,apples),
    boxa_labelled_apples ).

cnf(c_0_19,plain,
    ( equal_fruits(X2,X3)
    | ~ contains(X1,X2)
    | ~ contains(X1,X3) ),
    inference(fof_simplification,[status(thm)],[contains_is_well_defined1]) ).

cnf(c_0_20,negated_conjecture,
    ( contains(boxa,oranges)
    | ~ contains(boxa,bananas) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,axiom,
    ( contains(X1,apples)
    | contains(X1,bananas)
    | contains(X1,oranges) ),
    each_box_contains_something ).

cnf(c_0_22,hypothesis,
    ~ contains(boxa,apples),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_23,plain,
    ~ equal_fruits(bananas,oranges),
    inference(fof_simplification,[status(thm)],[bananas_not_oranges]) ).

cnf(c_0_24,plain,
    ( equal_fruits(X2,X3)
    | ~ contains(X1,X2)
    | ~ contains(X1,X3) ),
    c_0_19 ).

cnf(c_0_25,negated_conjecture,
    contains(boxa,oranges),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_26,hypothesis,
    label(boxc,bananas),
    boxc_labelled_bananas ).

cnf(c_0_27,plain,
    ~ equal_fruits(bananas,oranges),
    c_0_23 ).

cnf(c_0_28,negated_conjecture,
    ( equal_fruits(X1,oranges)
    | ~ contains(boxa,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,hypothesis,
    ~ contains(boxc,bananas),
    inference(spm,[status(thm)],[c_0_13,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ~ contains(boxa,bananas),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,plain,
    ~ equal_fruits(apples,bananas),
    inference(fof_simplification,[status(thm)],[apples_not_bananas]) ).

cnf(c_0_32,hypothesis,
    contains(boxb,bananas),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_30]) ).

cnf(c_0_33,plain,
    ~ equal_fruits(apples,bananas),
    c_0_31 ).

cnf(c_0_34,hypothesis,
    ( equal_fruits(X1,bananas)
    | ~ contains(boxb,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_32]) ).

cnf(c_0_35,hypothesis,
    contains(boxb,apples),
    boxb_contains_apples ).

cnf(c_0_36,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ012-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % 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   : Fri May  3 11:31:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.vzbHDIH8vK/E---3.1_7925.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  # new_bool_1 with pid 8032 completed with status 0
% 0.21/0.50  # Result found by new_bool_1
% 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHNS-FFSS00-SFFFFFNN
% 0.21/0.50  # partial match(1): FGHNF-FFSS00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50  # SAT001_MinMin_p005000_rr_RG with pid 8038 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  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 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: FGHNS-FFSS00-SFFFFFNN
% 0.21/0.50  # partial match(1): FGHNF-FFSS00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG 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                        : 18
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 18
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 18
% 0.21/0.50  # Processed clauses                    : 47
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 1
% 0.21/0.50  # ...remaining for further processing  : 46
% 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                    : 2
% 0.21/0.50  # Backward-rewritten                   : 1
% 0.21/0.50  # Generated clauses                    : 19
% 0.21/0.50  # ...of the previous two non-redundant : 17
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 19
% 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                  : 3
% 0.21/0.50  # ...of those cached                   : 1
% 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  : 25
% 0.21/0.50  #    Positive orientable unit clauses  : 8
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 10
% 0.21/0.50  #    Non-unit-clauses                  : 7
% 0.21/0.50  # Current number of unprocessed clauses: 6
% 0.21/0.50  # ...number of literals in the above   : 19
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 21
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 17
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 13
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.50  # Unit Clause-clause subsumption calls : 18
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 13
% 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          : 482
% 0.21/0.50  # Search garbage collected termcells   : 30
% 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: 1612 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.003 s
% 0.21/0.50  # System time              : 0.006 s
% 0.21/0.50  # Total time               : 0.009 s
% 0.21/0.50  # Maximum resident set size: 1696 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------