TSTP Solution File: LCL297-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL297-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 08:27:08 EDT 2024

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   42 (  26 unt;   0 nHn;  22 RR)
%            Number of literals    :   64 (   7 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   68 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',rule_1) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',axiom_1_4) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',axiom_1_5) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',axiom_1_2) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(equivalent(not(implies(p,not(q))),and(p,q))),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',prove_this) ).

cnf(equivalent_defn,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',equivalent_defn) ).

cnf(and_defn,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',and_defn) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.MkmZqGKBJA/E---3.1_22181.p',axiom_1_3) ).

cnf(c_0_10,plain,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    inference(fof_simplification,[status(thm)],[rule_2]) ).

cnf(c_0_11,plain,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    c_0_10 ).

cnf(c_0_12,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_13,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    inference(fof_simplification,[status(thm)],[rule_1]) ).

cnf(c_0_14,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ theorem(or(not(X2),X1)) ),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    c_0_13 ).

cnf(c_0_16,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_17,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ axiom(or(not(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_19,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_20,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    axiom(implies(or(X1,X1),X1)),
    axiom_1_2 ).

cnf(c_0_22,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rw,[status(thm)],[c_0_19,c_0_12]) ).

cnf(c_0_23,negated_conjecture,
    ~ theorem(equivalent(not(implies(p,not(q))),and(p,q))),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_24,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    equivalent_defn ).

cnf(c_0_25,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    and_defn ).

cnf(c_0_26,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_15]) ).

cnf(c_0_27,plain,
    axiom(or(not(or(X1,X1)),X1)),
    inference(rw,[status(thm)],[c_0_21,c_0_12]) ).

cnf(c_0_28,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    ~ theorem(equivalent(not(implies(p,not(q))),and(p,q))),
    c_0_23 ).

cnf(c_0_30,plain,
    equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12]),c_0_12]),c_0_25]) ).

cnf(c_0_31,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ axiom(or(X1,not(X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_26]) ).

cnf(c_0_32,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_27]) ).

cnf(c_0_33,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ axiom(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_15]) ).

cnf(c_0_34,axiom,
    axiom(implies(X1,or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_35,negated_conjecture,
    ~ theorem(not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_12]),c_0_25]),c_0_30]) ).

cnf(c_0_36,plain,
    ( theorem(not(or(not(X1),not(X1))))
    | ~ theorem(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_27]) ).

cnf(c_0_37,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X1,or(or(X1,X2),X2))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_34,c_0_12]) ).

cnf(c_0_39,negated_conjecture,
    ~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL297-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 09:35:30 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.MkmZqGKBJA/E---3.1_22181.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 22279 completed with status 0
% 0.20/0.50  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FHUNM-FFSF21-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 0.20/0.50  # Starting new_bool_3 with 329s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 324s (1) cores
% 0.20/0.50  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 118s (1) cores
% 0.20/0.50  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 22291 completed with status 0
% 0.20/0.50  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FHUNM-FFSF21-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 0.20/0.50  # Starting new_bool_3 with 329s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 324s (1) cores
% 0.20/0.50  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 118s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Unsatisfiable
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 11
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 11
% 0.20/0.50  # Removed in clause preprocessing      : 3
% 0.20/0.50  # Initial clauses in saturation        : 8
% 0.20/0.50  # Processed clauses                    : 128
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 49
% 0.20/0.50  # ...remaining for further processing  : 79
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 2
% 0.20/0.50  # Generated clauses                    : 218
% 0.20/0.50  # ...of the previous two non-redundant : 208
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 218
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 2
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 69
% 0.20/0.50  #    Positive orientable unit clauses  : 6
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 15
% 0.20/0.50  #    Non-unit-clauses                  : 48
% 0.20/0.50  # Current number of unprocessed clauses: 96
% 0.20/0.50  # ...number of literals in the above   : 226
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 13
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 529
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 529
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 48
% 0.20/0.50  # Unit Clause-clause subsumption calls : 52
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 24
% 0.20/0.50  # BW rewrite match successes           : 2
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 2867
% 0.20/0.50  # Search garbage collected termcells   : 11
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.008 s
% 0.20/0.50  # System time              : 0.003 s
% 0.20/0.50  # Total time               : 0.011 s
% 0.20/0.50  # Maximum resident set size: 1648 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.045 s
% 0.20/0.50  # System time              : 0.008 s
% 0.20/0.50  # Total time               : 0.052 s
% 0.20/0.50  # Maximum resident set size: 1700 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------