TSTP Solution File: LAT011-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LAT011-1 : TPTP v8.1.2. Released v2.2.0.
% 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 18:07:21 EDT 2023

% Result   : Unsatisfiable 1.15s 0.63s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   33 (  33 unt;   0 nHn;   3 RR)
%            Number of literals    :   33 (  32 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   66 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
    meet(X1,join(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',absorption1) ).

cnf(commutativity_of_join,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',commutativity_of_join) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',absorption2) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',associativity_of_meet) ).

cnf(absorption2_2,axiom,
    join(X1,meet2(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',absorption2_2) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',commutativity_of_meet) ).

cnf(commutativity_of_meet2,axiom,
    meet2(X1,X2) = meet2(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',commutativity_of_meet2) ).

cnf(absorption1_2,axiom,
    meet2(X1,join(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',absorption1_2) ).

cnf(associativity_of_meet2,axiom,
    meet2(meet2(X1,X2),X3) = meet2(X1,meet2(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',associativity_of_meet2) ).

cnf(prove_meets_are_same,negated_conjecture,
    meet(a,b) != meet2(a,b),
    file('/export/starexec/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p',prove_meets_are_same) ).

cnf(c_0_10,axiom,
    meet(X1,join(X1,X2)) = X1,
    absorption1 ).

cnf(c_0_11,axiom,
    join(X1,X2) = join(X2,X1),
    commutativity_of_join ).

cnf(c_0_12,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(c_0_13,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    associativity_of_meet ).

cnf(c_0_14,plain,
    meet(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,axiom,
    join(X1,meet2(X1,X2)) = X1,
    absorption2_2 ).

cnf(c_0_16,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(c_0_17,axiom,
    meet2(X1,X2) = meet2(X2,X1),
    commutativity_of_meet2 ).

cnf(c_0_18,plain,
    join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    meet(X1,meet2(X1,X2)) = meet2(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_20,plain,
    join(X1,meet2(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

cnf(c_0_21,axiom,
    meet2(X1,join(X1,X2)) = X1,
    absorption1_2 ).

cnf(c_0_22,plain,
    join(meet(X1,X2),meet(X1,meet2(X2,X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    meet(X1,meet2(X2,X1)) = meet2(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_16]) ).

cnf(c_0_24,plain,
    meet2(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_21,c_0_11]) ).

cnf(c_0_25,plain,
    join(X1,meet(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

cnf(c_0_26,plain,
    join(meet2(X1,X2),meet(X2,X1)) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_11]) ).

cnf(c_0_27,axiom,
    meet2(meet2(X1,X2),X3) = meet2(X1,meet2(X2,X3)),
    associativity_of_meet2 ).

cnf(c_0_28,plain,
    meet2(X1,meet(X1,X2)) = meet(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_17]) ).

cnf(c_0_29,plain,
    meet2(X1,meet(X2,X1)) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17]) ).

cnf(c_0_30,negated_conjecture,
    meet(a,b) != meet2(a,b),
    prove_meets_are_same ).

cnf(c_0_31,plain,
    meet(X1,X2) = meet2(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LAT011-1 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 10:17:06 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zYva7YfkM4/E---3.1_16827.p
% 1.15/0.63  # Version: 3.1pre001
% 1.15/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.15/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.15/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.15/0.63  # Starting new_bool_3 with 300s (1) cores
% 1.15/0.63  # Starting new_bool_1 with 300s (1) cores
% 1.15/0.63  # Starting sh5l with 300s (1) cores
% 1.15/0.63  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 16950 completed with status 0
% 1.15/0.63  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.15/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.15/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.15/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.15/0.63  # No SInE strategy applied
% 1.15/0.63  # Search class: FUUPM-FFSF22-SFFFFFNN
% 1.15/0.63  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.15/0.63  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.15/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.15/0.63  # Starting new_bool_3 with 136s (1) cores
% 1.15/0.63  # Starting new_bool_1 with 136s (1) cores
% 1.15/0.63  # Starting sh5l with 136s (1) cores
% 1.15/0.63  # SAT001_MinMin_p005000_rr_RG with pid 16956 completed with status 0
% 1.15/0.63  # Result found by SAT001_MinMin_p005000_rr_RG
% 1.15/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.15/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.15/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.15/0.63  # No SInE strategy applied
% 1.15/0.63  # Search class: FUUPM-FFSF22-SFFFFFNN
% 1.15/0.63  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.15/0.63  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.15/0.63  # Preprocessing time       : 0.001 s
% 1.15/0.63  # Presaturation interreduction done
% 1.15/0.63  
% 1.15/0.63  # Proof found!
% 1.15/0.63  # SZS status Unsatisfiable
% 1.15/0.63  # SZS output start CNFRefutation
% See solution above
% 1.15/0.63  # Parsed axioms                        : 14
% 1.15/0.63  # Removed by relevancy pruning/SinE    : 0
% 1.15/0.63  # Initial clauses                      : 14
% 1.15/0.63  # Removed in clause preprocessing      : 0
% 1.15/0.63  # Initial clauses in saturation        : 14
% 1.15/0.63  # Processed clauses                    : 857
% 1.15/0.63  # ...of these trivial                  : 207
% 1.15/0.63  # ...subsumed                          : 474
% 1.15/0.63  # ...remaining for further processing  : 176
% 1.15/0.63  # Other redundant clauses eliminated   : 0
% 1.15/0.63  # Clauses deleted for lack of memory   : 0
% 1.15/0.63  # Backward-subsumed                    : 0
% 1.15/0.63  # Backward-rewritten                   : 101
% 1.15/0.63  # Generated clauses                    : 15255
% 1.15/0.63  # ...of the previous two non-redundant : 8227
% 1.15/0.63  # ...aggressively subsumed             : 0
% 1.15/0.63  # Contextual simplify-reflections      : 0
% 1.15/0.63  # Paramodulations                      : 15255
% 1.15/0.63  # Factorizations                       : 0
% 1.15/0.63  # NegExts                              : 0
% 1.15/0.63  # Equation resolutions                 : 0
% 1.15/0.63  # Total rewrite steps                  : 17940
% 1.15/0.63  # Propositional unsat checks           : 0
% 1.15/0.63  #    Propositional check models        : 0
% 1.15/0.63  #    Propositional check unsatisfiable : 0
% 1.15/0.63  #    Propositional clauses             : 0
% 1.15/0.63  #    Propositional clauses after purity: 0
% 1.15/0.63  #    Propositional unsat core size     : 0
% 1.15/0.63  #    Propositional preprocessing time  : 0.000
% 1.15/0.63  #    Propositional encoding time       : 0.000
% 1.15/0.63  #    Propositional solver time         : 0.000
% 1.15/0.63  #    Success case prop preproc time    : 0.000
% 1.15/0.63  #    Success case prop encoding time   : 0.000
% 1.15/0.63  #    Success case prop solver time     : 0.000
% 1.15/0.63  # Current number of processed clauses  : 61
% 1.15/0.63  #    Positive orientable unit clauses  : 54
% 1.15/0.63  #    Positive unorientable unit clauses: 7
% 1.15/0.63  #    Negative unit clauses             : 0
% 1.15/0.63  #    Non-unit-clauses                  : 0
% 1.15/0.63  # Current number of unprocessed clauses: 7368
% 1.15/0.63  # ...number of literals in the above   : 7368
% 1.15/0.63  # Current number of archived formulas  : 0
% 1.15/0.63  # Current number of archived clauses   : 115
% 1.15/0.63  # Clause-clause subsumption calls (NU) : 0
% 1.15/0.63  # Rec. Clause-clause subsumption calls : 0
% 1.15/0.63  # Non-unit clause-clause subsumptions  : 0
% 1.15/0.63  # Unit Clause-clause subsumption calls : 51
% 1.15/0.63  # Rewrite failures with RHS unbound    : 0
% 1.15/0.63  # BW rewrite match attempts            : 501
% 1.15/0.63  # BW rewrite match successes           : 315
% 1.15/0.63  # Condensation attempts                : 0
% 1.15/0.63  # Condensation successes               : 0
% 1.15/0.63  # Termbank termtop insertions          : 105409
% 1.15/0.63  
% 1.15/0.63  # -------------------------------------------------
% 1.15/0.63  # User time                : 0.123 s
% 1.15/0.63  # System time              : 0.010 s
% 1.15/0.63  # Total time               : 0.132 s
% 1.15/0.63  # Maximum resident set size: 1516 pages
% 1.15/0.63  
% 1.15/0.63  # -------------------------------------------------
% 1.15/0.63  # User time                : 0.614 s
% 1.15/0.63  # System time              : 0.022 s
% 1.15/0.63  # Total time               : 0.636 s
% 1.15/0.63  # Maximum resident set size: 1672 pages
% 1.15/0.63  % E---3.1 exiting
% 1.15/0.63  % E---3.1 exiting
%------------------------------------------------------------------------------