TSTP Solution File: LAT080-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT080-1 : TPTP v8.1.2. Released v2.6.0.
% 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 18:09:38 EDT 2023

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   3 RR)
%            Number of literals    :   20 (  19 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   70 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.qwndiDWy5U/E---3.1_8553.p',single_axiom) ).

cnf(prove_normal_axioms_1,negated_conjecture,
    meet(a,a) != a,
    file('/export/starexec/sandbox2/tmp/tmp.qwndiDWy5U/E---3.1_8553.p',prove_normal_axioms_1) ).

cnf(c_0_2,axiom,
    join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
    single_axiom ).

cnf(c_0_3,plain,
    join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)),meet(join(meet(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)),meet(X10,join(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)))),join(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_5,plain,
    join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_4,c_0_2]) ).

cnf(c_0_6,plain,
    join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_3,c_0_5]) ).

cnf(c_0_7,plain,
    join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_8,plain,
    join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).

cnf(c_0_9,plain,
    join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_10,plain,
    join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).

cnf(c_0_11,plain,
    join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_11]) ).

cnf(c_0_13,plain,
    meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,plain,
    join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_15,plain,
    join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_16,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    meet(a,a) != a,
    prove_normal_axioms_1 ).

cnf(c_0_18,plain,
    meet(X1,X1) = X1,
    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(spm,[status(thm)],[c_0_2,c_0_16]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LAT080-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 10:49:21 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.qwndiDWy5U/E---3.1_8553.p
% 0.15/0.47  # Version: 3.1pre001
% 0.15/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # new_bool_3 with pid 8631 completed with status 8
% 0.15/0.47  # new_bool_1 with pid 8632 completed with status 8
% 0.15/0.47  # sh5l with pid 8633 completed with status 0
% 0.15/0.47  # Result found by sh5l
% 0.15/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.47  # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.15/0.47  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 8639 completed with status 0
% 0.15/0.47  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.47  # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.15/0.47  # Preprocessing time       : 0.001 s
% 0.15/0.47  # Presaturation interreduction done
% 0.15/0.47  
% 0.15/0.47  # Proof found!
% 0.15/0.47  # SZS status Unsatisfiable
% 0.15/0.47  # SZS output start CNFRefutation
% See solution above
% 0.15/0.47  # Parsed axioms                        : 2
% 0.15/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.47  # Initial clauses                      : 2
% 0.15/0.47  # Removed in clause preprocessing      : 0
% 0.15/0.47  # Initial clauses in saturation        : 2
% 0.15/0.47  # Processed clauses                    : 46
% 0.15/0.47  # ...of these trivial                  : 17
% 0.15/0.47  # ...subsumed                          : 0
% 0.15/0.47  # ...remaining for further processing  : 29
% 0.15/0.47  # Other redundant clauses eliminated   : 0
% 0.15/0.47  # Clauses deleted for lack of memory   : 0
% 0.15/0.47  # Backward-subsumed                    : 0
% 0.15/0.47  # Backward-rewritten                   : 7
% 0.15/0.47  # Generated clauses                    : 1189
% 0.15/0.47  # ...of the previous two non-redundant : 1054
% 0.15/0.47  # ...aggressively subsumed             : 0
% 0.15/0.47  # Contextual simplify-reflections      : 0
% 0.15/0.47  # Paramodulations                      : 1189
% 0.15/0.47  # Factorizations                       : 0
% 0.15/0.47  # NegExts                              : 0
% 0.15/0.47  # Equation resolutions                 : 0
% 0.15/0.47  # Total rewrite steps                  : 1246
% 0.15/0.47  # Propositional unsat checks           : 0
% 0.15/0.47  #    Propositional check models        : 0
% 0.15/0.47  #    Propositional check unsatisfiable : 0
% 0.15/0.47  #    Propositional clauses             : 0
% 0.15/0.47  #    Propositional clauses after purity: 0
% 0.15/0.47  #    Propositional unsat core size     : 0
% 0.15/0.47  #    Propositional preprocessing time  : 0.000
% 0.15/0.47  #    Propositional encoding time       : 0.000
% 0.15/0.47  #    Propositional solver time         : 0.000
% 0.15/0.47  #    Success case prop preproc time    : 0.000
% 0.15/0.47  #    Success case prop encoding time   : 0.000
% 0.15/0.47  #    Success case prop solver time     : 0.000
% 0.15/0.47  # Current number of processed clauses  : 20
% 0.15/0.47  #    Positive orientable unit clauses  : 20
% 0.15/0.47  #    Positive unorientable unit clauses: 0
% 0.15/0.47  #    Negative unit clauses             : 0
% 0.15/0.47  #    Non-unit-clauses                  : 0
% 0.15/0.47  # Current number of unprocessed clauses: 1009
% 0.15/0.47  # ...number of literals in the above   : 1009
% 0.15/0.47  # Current number of archived formulas  : 0
% 0.15/0.47  # Current number of archived clauses   : 9
% 0.15/0.47  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.47  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.47  # Unit Clause-clause subsumption calls : 0
% 0.15/0.47  # Rewrite failures with RHS unbound    : 0
% 0.15/0.47  # BW rewrite match attempts            : 121
% 0.15/0.47  # BW rewrite match successes           : 7
% 0.15/0.47  # Condensation attempts                : 0
% 0.15/0.47  # Condensation successes               : 0
% 0.15/0.47  # Termbank termtop insertions          : 183353
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.049 s
% 0.15/0.47  # System time              : 0.001 s
% 0.15/0.47  # Total time               : 0.050 s
% 0.15/0.47  # Maximum resident set size: 1420 pages
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.073 s
% 0.15/0.47  # System time              : 0.009 s
% 0.15/0.47  # Total time               : 0.082 s
% 0.15/0.47  # Maximum resident set size: 1680 pages
% 0.15/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------