TSTP Solution File: LCL211-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL211-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 18:24:12 EDT 2023

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   29 (  17 unt;   0 nHn;  14 RR)
%            Number of literals    :   45 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   55 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',rule_2) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',axiom_1_4) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',rule_1) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',axiom_1_2) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',axiom_1_6) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(X1),X3))
    | ~ theorem(or(not(X3),X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',rule_3) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X1),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',axiom_1_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
    file('/export/starexec/sandbox/tmp/tmp.xtpJAqIWXC/E---3.1_11281.p',prove_this) ).

cnf(c_0_8,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    rule_2 ).

cnf(c_0_9,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_10,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1 ).

cnf(c_0_12,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    axiom_1_2 ).

cnf(c_0_14,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_15,plain,
    theorem(or(X1,not(or(X1,X1)))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,axiom,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(X1),X3))
    | ~ theorem(or(not(X3),X2)) ),
    rule_3 ).

cnf(c_0_17,plain,
    ( theorem(or(not(or(X1,X2)),or(X1,X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_14]) ).

cnf(c_0_18,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(spm,[status(thm)],[c_0_10,c_0_15]) ).

cnf(c_0_19,plain,
    ( theorem(or(not(or(not(X1),X2)),X3))
    | ~ theorem(or(not(or(not(or(X4,X1)),or(X4,X2))),X3)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_20,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    axiom(or(not(X1),or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_22,plain,
    ( theorem(or(not(or(X1,X2)),X3))
    | ~ theorem(or(not(or(X2,X1)),X3)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_9]) ).

cnf(c_0_23,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X2,X1)),X2))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( theorem(or(not(X1),X2))
    | ~ theorem(or(not(or(X3,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_21]) ).

cnf(c_0_25,plain,
    theorem(or(not(or(X1,not(X2))),or(not(or(X1,X2)),X1))),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
    prove_this ).

cnf(c_0_27,plain,
    theorem(or(not(not(X1)),or(not(or(X2,X1)),X2))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LCL211-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n007.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 12:18:24 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.43  Running first-order model finding
% 0.15/0.43  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.xtpJAqIWXC/E---3.1_11281.p
% 0.15/0.49  # Version: 3.1pre001
% 0.15/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.49  # Starting sh5l with 300s (1) cores
% 0.15/0.49  # new_bool_1 with pid 11360 completed with status 0
% 0.15/0.49  # Result found by new_bool_1
% 0.15/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.15/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.15/0.49  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 11365 completed with status 0
% 0.15/0.49  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 0.15/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.15/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.15/0.49  # Preprocessing time       : 0.001 s
% 0.15/0.49  # Presaturation interreduction done
% 0.15/0.49  
% 0.15/0.49  # Proof found!
% 0.15/0.49  # SZS status Unsatisfiable
% 0.15/0.49  # SZS output start CNFRefutation
% See solution above
% 0.15/0.49  # Parsed axioms                        : 9
% 0.15/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.49  # Initial clauses                      : 9
% 0.15/0.49  # Removed in clause preprocessing      : 0
% 0.15/0.49  # Initial clauses in saturation        : 9
% 0.15/0.49  # Processed clauses                    : 636
% 0.15/0.49  # ...of these trivial                  : 28
% 0.15/0.49  # ...subsumed                          : 54
% 0.15/0.49  # ...remaining for further processing  : 554
% 0.15/0.49  # Other redundant clauses eliminated   : 0
% 0.15/0.49  # Clauses deleted for lack of memory   : 0
% 0.15/0.49  # Backward-subsumed                    : 0
% 0.15/0.49  # Backward-rewritten                   : 1
% 0.15/0.49  # Generated clauses                    : 3183
% 0.15/0.49  # ...of the previous two non-redundant : 1926
% 0.15/0.49  # ...aggressively subsumed             : 0
% 0.15/0.49  # Contextual simplify-reflections      : 0
% 0.15/0.49  # Paramodulations                      : 3183
% 0.15/0.49  # Factorizations                       : 0
% 0.15/0.49  # NegExts                              : 0
% 0.15/0.49  # Equation resolutions                 : 0
% 0.15/0.49  # Total rewrite steps                  : 1279
% 0.15/0.49  # Propositional unsat checks           : 0
% 0.15/0.49  #    Propositional check models        : 0
% 0.15/0.49  #    Propositional check unsatisfiable : 0
% 0.15/0.49  #    Propositional clauses             : 0
% 0.15/0.49  #    Propositional clauses after purity: 0
% 0.15/0.49  #    Propositional unsat core size     : 0
% 0.15/0.49  #    Propositional preprocessing time  : 0.000
% 0.15/0.49  #    Propositional encoding time       : 0.000
% 0.15/0.49  #    Propositional solver time         : 0.000
% 0.15/0.49  #    Success case prop preproc time    : 0.000
% 0.15/0.49  #    Success case prop encoding time   : 0.000
% 0.15/0.49  #    Success case prop solver time     : 0.000
% 0.15/0.49  # Current number of processed clauses  : 544
% 0.15/0.49  #    Positive orientable unit clauses  : 491
% 0.15/0.49  #    Positive unorientable unit clauses: 0
% 0.15/0.49  #    Negative unit clauses             : 9
% 0.15/0.49  #    Non-unit-clauses                  : 44
% 0.15/0.49  # Current number of unprocessed clauses: 1308
% 0.15/0.49  # ...number of literals in the above   : 1391
% 0.15/0.49  # Current number of archived formulas  : 0
% 0.15/0.49  # Current number of archived clauses   : 10
% 0.15/0.49  # Clause-clause subsumption calls (NU) : 750
% 0.15/0.49  # Rec. Clause-clause subsumption calls : 750
% 0.15/0.49  # Non-unit clause-clause subsumptions  : 52
% 0.15/0.49  # Unit Clause-clause subsumption calls : 108
% 0.15/0.49  # Rewrite failures with RHS unbound    : 0
% 0.15/0.49  # BW rewrite match attempts            : 40716
% 0.15/0.49  # BW rewrite match successes           : 1
% 0.15/0.49  # Condensation attempts                : 0
% 0.15/0.49  # Condensation successes               : 0
% 0.15/0.49  # Termbank termtop insertions          : 40692
% 0.15/0.49  
% 0.15/0.49  # -------------------------------------------------
% 0.15/0.49  # User time                : 0.051 s
% 0.15/0.49  # System time              : 0.002 s
% 0.15/0.49  # Total time               : 0.054 s
% 0.15/0.49  # Maximum resident set size: 1636 pages
% 0.15/0.49  
% 0.15/0.49  # -------------------------------------------------
% 0.15/0.49  # User time                : 0.053 s
% 0.15/0.49  # System time              : 0.003 s
% 0.15/0.49  # Total time               : 0.056 s
% 0.15/0.49  # Maximum resident set size: 1684 pages
% 0.15/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------