TSTP Solution File: LAT042-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 18:09:21 EDT 2023

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   4 RR)
%            Number of literals    :   15 (  14 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_modular_law,negated_conjecture,
    join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',prove_modular_law) ).

cnf(distributivity,axiom,
    meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',distributivity) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',commutativity_of_meet) ).

cnf(idempotence_of_meet,axiom,
    meet(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',idempotence_of_meet) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',absorption2) ).

cnf(associativity_of_join,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.WtWS9LY0ui/E---3.1_24063.p',associativity_of_join) ).

cnf(c_0_6,negated_conjecture,
    join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
    prove_modular_law ).

cnf(c_0_7,axiom,
    meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
    distributivity ).

cnf(c_0_8,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(c_0_9,axiom,
    meet(X1,X1) = X1,
    idempotence_of_meet ).

cnf(c_0_10,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(c_0_11,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    associativity_of_join ).

cnf(c_0_12,negated_conjecture,
    join(a,join(meet(a,c),meet(b,c))) != join(a,join(meet(a,b),meet(b,c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_7]),c_0_9]),c_0_10]),c_0_8]),c_0_7]),c_0_8]),c_0_8]),c_0_7]),c_0_8]) ).

cnf(c_0_13,plain,
    join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 09:57:28 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.WtWS9LY0ui/E---3.1_24063.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 24140 completed with status 0
% 0.15/0.43  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.43  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.43  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.43  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.43  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.15/0.43  # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 24150 completed with status 0
% 0.15/0.43  # Result found by U----_043_B31_F1_PI_AE_CS_SP_S2S
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.43  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.43  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.43  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Unsatisfiable
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 13
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.43  # Initial clauses                      : 13
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 13
% 0.15/0.43  # Processed clauses                    : 88
% 0.15/0.43  # ...of these trivial                  : 38
% 0.15/0.43  # ...subsumed                          : 6
% 0.15/0.43  # ...remaining for further processing  : 44
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 6
% 0.15/0.43  # Generated clauses                    : 627
% 0.15/0.43  # ...of the previous two non-redundant : 240
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 627
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Total rewrite steps                  : 695
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 38
% 0.15/0.43  #    Positive orientable unit clauses  : 35
% 0.15/0.43  #    Positive unorientable unit clauses: 3
% 0.15/0.43  #    Negative unit clauses             : 0
% 0.15/0.43  #    Non-unit-clauses                  : 0
% 0.15/0.43  # Current number of unprocessed clauses: 157
% 0.15/0.43  # ...number of literals in the above   : 157
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 6
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.43  # Unit Clause-clause subsumption calls : 1
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 66
% 0.15/0.43  # BW rewrite match successes           : 45
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 3500
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.005 s
% 0.15/0.43  # System time              : 0.002 s
% 0.15/0.43  # Total time               : 0.007 s
% 0.15/0.43  # Maximum resident set size: 1520 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.027 s
% 0.15/0.43  # System time              : 0.008 s
% 0.15/0.43  # Total time               : 0.035 s
% 0.15/0.43  # Maximum resident set size: 1680 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------