TSTP Solution File: LCL214-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL214-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 50.42s 7.12s
% Output   : CNFRefutation 50.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   46 (  24 unt;   0 nHn;  21 RR)
%            Number of literals    :   76 (   2 equ;  33 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   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   :   97 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',rule_1) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',axiom_1_5) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',axiom_1_3) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',axiom_1_6) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',axiom_1_2) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',axiom_1_4) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(or(p,q),implies(implies(p,q),q))),
    file('/export/starexec/sandbox2/tmp/tmp.6sihhLkBFM/E---3.1_10795.p',prove_this) ).

cnf(c_0_9,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    rule_2 ).

cnf(c_0_10,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_11,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ theorem(or(not(X2),X1)) ),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1 ).

cnf(c_0_13,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_14,axiom,
    axiom(implies(X1,or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_15,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_16,axiom,
    axiom(implies(or(X1,X1),X1)),
    axiom_1_2 ).

cnf(c_0_17,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ axiom(or(not(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rw,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_19,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_20,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_15,c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_21,plain,
    axiom(or(not(or(X1,X1)),X1)),
    inference(rw,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_22,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_19]) ).

cnf(c_0_24,plain,
    ( theorem(or(not(or(X1,X2)),or(X1,X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_20]) ).

cnf(c_0_25,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_26,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_27,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(not(X3),X2))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_24]) ).

cnf(c_0_29,plain,
    ( theorem(or(X1,or(not(or(X1,X2)),X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_24]) ).

cnf(c_0_30,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_25,c_0_10]) ).

cnf(c_0_31,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(or(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ axiom(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_12]) ).

cnf(c_0_33,plain,
    ( theorem(or(X1,or(not(or(not(X2),X3)),X4)))
    | ~ theorem(or(not(X3),X4))
    | ~ theorem(or(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_30]) ).

cnf(c_0_35,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ axiom(or(X2,or(or(X1,or(X2,X3)),X3))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ~ theorem(implies(or(p,q),implies(implies(p,q),q))),
    prove_this ).

cnf(c_0_37,plain,
    ( theorem(or(X1,or(not(or(not(X2),X3)),X4)))
    | ~ theorem(or(or(X1,or(not(or(not(X2),X3)),X4)),X2))
    | ~ theorem(or(not(X3),X4)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_33]) ).

cnf(c_0_38,plain,
    ( theorem(or(or(not(or(X1,X2)),X3),X1))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_29]) ).

cnf(c_0_39,plain,
    theorem(or(X1,or(not(X2),X2))),
    inference(spm,[status(thm)],[c_0_35,c_0_19]) ).

cnf(c_0_40,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X1,or(or(X1,X2),X2))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ~ theorem(or(not(or(p,q)),or(not(or(not(p),q)),q))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_42,plain,
    ( theorem(or(not(or(X1,X2)),or(not(or(not(X1),X3)),X4)))
    | ~ theorem(or(not(X2),or(not(or(not(X1),X3)),X4)))
    | ~ theorem(or(not(X3),X4)) ),
    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_22,c_0_39]) ).

cnf(c_0_44,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_40,c_0_19]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL214-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n019.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 13:00:21 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.6sihhLkBFM/E---3.1_10795.p
% 50.42/7.12  # Version: 3.1pre001
% 50.42/7.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 50.42/7.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.42/7.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 50.42/7.12  # Starting new_bool_3 with 300s (1) cores
% 50.42/7.12  # Starting new_bool_1 with 300s (1) cores
% 50.42/7.12  # Starting sh5l with 300s (1) cores
% 50.42/7.12  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 10872 completed with status 0
% 50.42/7.12  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 50.42/7.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 50.42/7.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.42/7.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 50.42/7.12  # No SInE strategy applied
% 50.42/7.12  # Search class: FHUNM-FFSF21-MFFFFFNN
% 50.42/7.12  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 50.42/7.12  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 50.42/7.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 50.42/7.12  # Starting new_bool_3 with 136s (1) cores
% 50.42/7.12  # Starting new_bool_1 with 136s (1) cores
% 50.42/7.12  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 50.42/7.12  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 10879 completed with status 0
% 50.42/7.12  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 50.42/7.12  # Preprocessing class: FSSSSMSSSSSNFFN.
% 50.42/7.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.42/7.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 50.42/7.12  # No SInE strategy applied
% 50.42/7.12  # Search class: FHUNM-FFSF21-MFFFFFNN
% 50.42/7.12  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 50.42/7.12  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 50.42/7.12  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 50.42/7.12  # Preprocessing time       : 0.007 s
% 50.42/7.12  
% 50.42/7.12  # Proof found!
% 50.42/7.12  # SZS status Unsatisfiable
% 50.42/7.12  # SZS output start CNFRefutation
% See solution above
% 50.42/7.12  # Parsed axioms                        : 9
% 50.42/7.12  # Removed by relevancy pruning/SinE    : 0
% 50.42/7.12  # Initial clauses                      : 9
% 50.42/7.12  # Removed in clause preprocessing      : 1
% 50.42/7.12  # Initial clauses in saturation        : 8
% 50.42/7.12  # Processed clauses                    : 11292
% 50.42/7.12  # ...of these trivial                  : 37
% 50.42/7.12  # ...subsumed                          : 8750
% 50.42/7.12  # ...remaining for further processing  : 2505
% 50.42/7.12  # Other redundant clauses eliminated   : 0
% 50.42/7.12  # Clauses deleted for lack of memory   : 0
% 50.42/7.12  # Backward-subsumed                    : 37
% 50.42/7.12  # Backward-rewritten                   : 0
% 50.42/7.12  # Generated clauses                    : 326410
% 50.42/7.12  # ...of the previous two non-redundant : 321416
% 50.42/7.12  # ...aggressively subsumed             : 0
% 50.42/7.12  # Contextual simplify-reflections      : 1
% 50.42/7.12  # Paramodulations                      : 326410
% 50.42/7.12  # Factorizations                       : 0
% 50.42/7.12  # NegExts                              : 0
% 50.42/7.12  # Equation resolutions                 : 0
% 50.42/7.12  # Total rewrite steps                  : 4601
% 50.42/7.12  # Propositional unsat checks           : 0
% 50.42/7.12  #    Propositional check models        : 0
% 50.42/7.12  #    Propositional check unsatisfiable : 0
% 50.42/7.12  #    Propositional clauses             : 0
% 50.42/7.12  #    Propositional clauses after purity: 0
% 50.42/7.12  #    Propositional unsat core size     : 0
% 50.42/7.12  #    Propositional preprocessing time  : 0.000
% 50.42/7.12  #    Propositional encoding time       : 0.000
% 50.42/7.12  #    Propositional solver time         : 0.000
% 50.42/7.12  #    Success case prop preproc time    : 0.000
% 50.42/7.12  #    Success case prop encoding time   : 0.000
% 50.42/7.12  #    Success case prop solver time     : 0.000
% 50.42/7.12  # Current number of processed clauses  : 2468
% 50.42/7.12  #    Positive orientable unit clauses  : 80
% 50.42/7.12  #    Positive unorientable unit clauses: 0
% 50.42/7.12  #    Negative unit clauses             : 62
% 50.42/7.12  #    Non-unit-clauses                  : 2326
% 50.42/7.12  # Current number of unprocessed clauses: 309587
% 50.42/7.12  # ...number of literals in the above   : 1040617
% 50.42/7.12  # Current number of archived formulas  : 0
% 50.42/7.12  # Current number of archived clauses   : 38
% 50.42/7.12  # Clause-clause subsumption calls (NU) : 963213
% 50.42/7.12  # Rec. Clause-clause subsumption calls : 786241
% 50.42/7.12  # Non-unit clause-clause subsumptions  : 8635
% 50.42/7.12  # Unit Clause-clause subsumption calls : 8893
% 50.42/7.12  # Rewrite failures with RHS unbound    : 0
% 50.42/7.12  # BW rewrite match attempts            : 11241
% 50.42/7.12  # BW rewrite match successes           : 3
% 50.42/7.12  # Condensation attempts                : 0
% 50.42/7.12  # Condensation successes               : 0
% 50.42/7.12  # Termbank termtop insertions          : 6334108
% 50.42/7.12  
% 50.42/7.12  # -------------------------------------------------
% 50.42/7.12  # User time                : 6.152 s
% 50.42/7.12  # System time              : 0.207 s
% 50.42/7.12  # Total time               : 6.359 s
% 50.42/7.12  # Maximum resident set size: 1652 pages
% 50.42/7.12  
% 50.42/7.12  # -------------------------------------------------
% 50.42/7.12  # User time                : 30.763 s
% 50.42/7.12  # System time              : 0.589 s
% 50.42/7.12  # Total time               : 31.352 s
% 50.42/7.12  # Maximum resident set size: 1680 pages
% 50.42/7.12  % E---3.1 exiting
%------------------------------------------------------------------------------