TSTP Solution File: LCL218-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 08:26:53 EDT 2024

% Result   : Unsatisfiable 1.30s 0.62s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   47 (  26 unt;   0 nHn;  23 RR)
%            Number of literals    :   76 (   2 equ;  34 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   91 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',rule_1) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',axiom_1_5) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',axiom_1_3) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',axiom_1_2) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',axiom_1_6) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(implies(or(p,q),q),implies(p,q))),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',prove_this) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.YisS8c6UIH/E---3.1_31510.p',axiom_1_4) ).

cnf(c_0_9,plain,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    inference(fof_simplification,[status(thm)],[rule_2]) ).

cnf(c_0_10,plain,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    c_0_9 ).

cnf(c_0_11,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_12,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    inference(fof_simplification,[status(thm)],[rule_1]) ).

cnf(c_0_13,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ theorem(or(not(X2),X1)) ),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    c_0_12 ).

cnf(c_0_15,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_16,axiom,
    axiom(implies(X1,or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_17,axiom,
    axiom(implies(or(X1,X1),X1)),
    axiom_1_2 ).

cnf(c_0_18,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ axiom(or(not(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rw,[status(thm)],[c_0_15,c_0_11]) ).

cnf(c_0_20,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_16,c_0_11]) ).

cnf(c_0_21,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_22,plain,
    axiom(or(not(or(X1,X1)),X1)),
    inference(rw,[status(thm)],[c_0_17,c_0_11]) ).

cnf(c_0_23,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_20]) ).

cnf(c_0_25,plain,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11]),c_0_11]),c_0_11]) ).

cnf(c_0_26,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_22]) ).

cnf(c_0_27,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    ( theorem(or(not(or(X1,X2)),or(X1,X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_25]) ).

cnf(c_0_29,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(or(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ axiom(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_23,c_0_14]) ).

cnf(c_0_31,negated_conjecture,
    ~ theorem(implies(implies(or(p,q),q),implies(p,q))),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_32,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(not(X3),X2))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_28]) ).

cnf(c_0_33,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_34,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ axiom(or(X2,or(or(X1,or(X2,X3)),X3))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ~ theorem(implies(implies(or(p,q),q),implies(p,q))),
    c_0_31 ).

cnf(c_0_36,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(X3)
    | ~ axiom(or(X1,or(not(X3),X2))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_30]) ).

cnf(c_0_37,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X1,X3))
    | ~ axiom(or(not(X3),X2)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_14]) ).

cnf(c_0_38,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_33,c_0_11]) ).

cnf(c_0_39,plain,
    theorem(or(X1,or(not(X2),X2))),
    inference(spm,[status(thm)],[c_0_34,c_0_20]) ).

cnf(c_0_40,negated_conjecture,
    ~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_11]),c_0_11]),c_0_11]) ).

cnf(c_0_41,plain,
    ( theorem(or(not(or(not(X1),X2)),or(X3,X2)))
    | ~ theorem(or(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_25]) ).

cnf(c_0_42,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X1,or(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_23,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ~ theorem(or(not(p),or(p,q))),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    theorem(or(not(X1),or(X1,X2))),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 09:28:21 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order model finding
% 0.18/0.46  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.YisS8c6UIH/E---3.1_31510.p
% 1.30/0.62  # Version: 3.1.0
% 1.30/0.62  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.30/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.62  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.30/0.62  # Starting new_bool_3 with 300s (1) cores
% 1.30/0.62  # Starting new_bool_1 with 300s (1) cores
% 1.30/0.62  # Starting sh5l with 300s (1) cores
% 1.30/0.62  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31619 completed with status 0
% 1.30/0.62  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.30/0.62  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.30/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.62  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.30/0.62  # No SInE strategy applied
% 1.30/0.62  # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.30/0.62  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.30/0.62  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.30/0.62  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.30/0.62  # Starting new_bool_3 with 136s (1) cores
% 1.30/0.62  # Starting new_bool_1 with 136s (1) cores
% 1.30/0.62  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 1.30/0.62  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31627 completed with status 0
% 1.30/0.62  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.30/0.62  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.30/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.62  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.30/0.62  # No SInE strategy applied
% 1.30/0.62  # Search class: FHUNM-FFSF21-MFFFFFNN
% 1.30/0.62  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.30/0.62  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.30/0.62  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.30/0.62  # Preprocessing time       : 0.007 s
% 1.30/0.62  
% 1.30/0.62  # Proof found!
% 1.30/0.62  # SZS status Unsatisfiable
% 1.30/0.62  # SZS output start CNFRefutation
% See solution above
% 1.30/0.62  # Parsed axioms                        : 9
% 1.30/0.62  # Removed by relevancy pruning/SinE    : 0
% 1.30/0.62  # Initial clauses                      : 9
% 1.30/0.62  # Removed in clause preprocessing      : 1
% 1.30/0.62  # Initial clauses in saturation        : 8
% 1.30/0.62  # Processed clauses                    : 921
% 1.30/0.62  # ...of these trivial                  : 8
% 1.30/0.62  # ...subsumed                          : 555
% 1.30/0.62  # ...remaining for further processing  : 358
% 1.30/0.62  # Other redundant clauses eliminated   : 0
% 1.30/0.62  # Clauses deleted for lack of memory   : 0
% 1.30/0.62  # Backward-subsumed                    : 6
% 1.30/0.62  # Backward-rewritten                   : 1
% 1.30/0.62  # Generated clauses                    : 5968
% 1.30/0.62  # ...of the previous two non-redundant : 5700
% 1.30/0.62  # ...aggressively subsumed             : 0
% 1.30/0.62  # Contextual simplify-reflections      : 0
% 1.30/0.62  # Paramodulations                      : 5968
% 1.30/0.62  # Factorizations                       : 0
% 1.30/0.62  # NegExts                              : 0
% 1.30/0.62  # Equation resolutions                 : 0
% 1.30/0.62  # Disequality decompositions           : 0
% 1.30/0.62  # Total rewrite steps                  : 137
% 1.30/0.62  # ...of those cached                   : 107
% 1.30/0.62  # Propositional unsat checks           : 0
% 1.30/0.62  #    Propositional check models        : 0
% 1.30/0.62  #    Propositional check unsatisfiable : 0
% 1.30/0.62  #    Propositional clauses             : 0
% 1.30/0.62  #    Propositional clauses after purity: 0
% 1.30/0.62  #    Propositional unsat core size     : 0
% 1.30/0.62  #    Propositional preprocessing time  : 0.000
% 1.30/0.62  #    Propositional encoding time       : 0.000
% 1.30/0.62  #    Propositional solver time         : 0.000
% 1.30/0.62  #    Success case prop preproc time    : 0.000
% 1.30/0.62  #    Success case prop encoding time   : 0.000
% 1.30/0.62  #    Success case prop solver time     : 0.000
% 1.30/0.62  # Current number of processed clauses  : 351
% 1.30/0.62  #    Positive orientable unit clauses  : 22
% 1.30/0.62  #    Positive unorientable unit clauses: 0
% 1.30/0.62  #    Negative unit clauses             : 26
% 1.30/0.62  #    Non-unit-clauses                  : 303
% 1.30/0.62  # Current number of unprocessed clauses: 4769
% 1.30/0.62  # ...number of literals in the above   : 14719
% 1.30/0.62  # Current number of archived formulas  : 0
% 1.30/0.62  # Current number of archived clauses   : 8
% 1.30/0.62  # Clause-clause subsumption calls (NU) : 18943
% 1.30/0.62  # Rec. Clause-clause subsumption calls : 17008
% 1.30/0.62  # Non-unit clause-clause subsumptions  : 547
% 1.30/0.62  # Unit Clause-clause subsumption calls : 488
% 1.30/0.62  # Rewrite failures with RHS unbound    : 0
% 1.30/0.62  # BW rewrite match attempts            : 403
% 1.30/0.62  # BW rewrite match successes           : 3
% 1.30/0.62  # Condensation attempts                : 0
% 1.30/0.62  # Condensation successes               : 0
% 1.30/0.62  # Termbank termtop insertions          : 91310
% 1.30/0.62  # Search garbage collected termcells   : 11
% 1.30/0.62  
% 1.30/0.62  # -------------------------------------------------
% 1.30/0.62  # User time                : 0.134 s
% 1.30/0.62  # System time              : 0.010 s
% 1.30/0.62  # Total time               : 0.145 s
% 1.30/0.62  # Maximum resident set size: 1648 pages
% 1.30/0.62  
% 1.30/0.62  # -------------------------------------------------
% 1.30/0.62  # User time                : 0.691 s
% 1.30/0.62  # System time              : 0.028 s
% 1.30/0.62  # Total time               : 0.720 s
% 1.30/0.62  # Maximum resident set size: 1696 pages
% 1.30/0.62  % E---3.1 exiting
%------------------------------------------------------------------------------