TSTP Solution File: LCL208-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 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 18:24:11 EDT 2023

% Result   : Unsatisfiable 0.15s 0.54s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   44 (  32 unt;   0 nHn;  15 RR)
%            Number of literals    :   60 (   2 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   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   :   80 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',rule_1) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',axiom_1_4) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',axiom_1_3) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.p',axiom_1_5) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.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.1ei0fiKIEW/E---3.1_8020.p',axiom_1_6) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(or(p,q),implies(not(p),q))),
    file('/export/starexec/sandbox/tmp/tmp.1ei0fiKIEW/E---3.1_8020.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,X2),or(X2,X1))),
    axiom_1_4 ).

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

cnf(c_0_15,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_16,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    axiom(implies(X1,or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_18,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_19,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_20,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_17,c_0_10]) ).

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_18,c_0_10]) ).

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

cnf(c_0_24,plain,
    axiom(or(not(or(X1,X1)),X1)),
    inference(rw,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_25,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_26,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_16,c_0_23]) ).

cnf(c_0_27,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_28,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_24]) ).

cnf(c_0_29,plain,
    theorem(or(X1,or(not(X2),X2))),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,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_27,c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_31,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( theorem(or(not(or(X1,X2)),or(X1,X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_30]) ).

cnf(c_0_33,plain,
    theorem(or(X1,not(X1))),
    inference(spm,[status(thm)],[c_0_16,c_0_31]) ).

cnf(c_0_34,plain,
    theorem(or(not(or(X1,X2)),or(X1,not(not(X2))))),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,plain,
    theorem(or(X1,or(not(or(X1,X2)),X2))),
    inference(spm,[status(thm)],[c_0_25,c_0_31]) ).

cnf(c_0_36,plain,
    ( theorem(or(X1,not(not(X2))))
    | ~ theorem(or(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_34]) ).

cnf(c_0_37,plain,
    theorem(or(or(not(or(X1,X2)),X2),X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_35]) ).

cnf(c_0_38,plain,
    theorem(or(or(not(or(X1,X2)),X2),not(not(X1)))),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ~ theorem(implies(or(p,q),implies(not(p),q))),
    prove_this ).

cnf(c_0_40,plain,
    theorem(or(not(not(X1)),or(not(or(X1,X2)),X2))),
    inference(spm,[status(thm)],[c_0_16,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_10]),c_0_10]) ).

cnf(c_0_42,plain,
    theorem(or(not(or(X1,X2)),or(not(not(X1)),X2))),
    inference(spm,[status(thm)],[c_0_25,c_0_40]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n028.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 12:10:21 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.1ei0fiKIEW/E---3.1_8020.p
% 0.15/0.54  # Version: 3.1pre001
% 0.15/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.54  # Starting sh5l with 300s (1) cores
% 0.15/0.54  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 8097 completed with status 0
% 0.15/0.54  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.54  # No SInE strategy applied
% 0.15/0.54  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.15/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.54  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.15/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.54  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.54  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.54  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.15/0.54  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 8102 completed with status 0
% 0.15/0.54  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 0.15/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.54  # No SInE strategy applied
% 0.15/0.54  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.15/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.54  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.15/0.54  # Preprocessing time       : 0.001 s
% 0.15/0.54  # Presaturation interreduction done
% 0.15/0.54  
% 0.15/0.54  # Proof found!
% 0.15/0.54  # SZS status Unsatisfiable
% 0.15/0.54  # SZS output start CNFRefutation
% See solution above
% 0.15/0.54  # Parsed axioms                        : 9
% 0.15/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.54  # Initial clauses                      : 9
% 0.15/0.54  # Removed in clause preprocessing      : 1
% 0.15/0.54  # Initial clauses in saturation        : 8
% 0.15/0.54  # Processed clauses                    : 1917
% 0.15/0.54  # ...of these trivial                  : 178
% 0.15/0.54  # ...subsumed                          : 1048
% 0.15/0.54  # ...remaining for further processing  : 691
% 0.15/0.54  # Other redundant clauses eliminated   : 0
% 0.15/0.54  # Clauses deleted for lack of memory   : 0
% 0.15/0.54  # Backward-subsumed                    : 2
% 0.15/0.54  # Backward-rewritten                   : 2
% 0.15/0.54  # Generated clauses                    : 8978
% 0.15/0.54  # ...of the previous two non-redundant : 5960
% 0.15/0.54  # ...aggressively subsumed             : 0
% 0.15/0.54  # Contextual simplify-reflections      : 0
% 0.15/0.54  # Paramodulations                      : 8978
% 0.15/0.54  # Factorizations                       : 0
% 0.15/0.54  # NegExts                              : 0
% 0.15/0.54  # Equation resolutions                 : 0
% 0.15/0.54  # Total rewrite steps                  : 3129
% 0.15/0.54  # Propositional unsat checks           : 0
% 0.15/0.54  #    Propositional check models        : 0
% 0.15/0.54  #    Propositional check unsatisfiable : 0
% 0.15/0.54  #    Propositional clauses             : 0
% 0.15/0.54  #    Propositional clauses after purity: 0
% 0.15/0.54  #    Propositional unsat core size     : 0
% 0.15/0.54  #    Propositional preprocessing time  : 0.000
% 0.15/0.54  #    Propositional encoding time       : 0.000
% 0.15/0.54  #    Propositional solver time         : 0.000
% 0.15/0.54  #    Success case prop preproc time    : 0.000
% 0.15/0.54  #    Success case prop encoding time   : 0.000
% 0.15/0.54  #    Success case prop solver time     : 0.000
% 0.15/0.54  # Current number of processed clauses  : 679
% 0.15/0.54  #    Positive orientable unit clauses  : 397
% 0.15/0.54  #    Positive unorientable unit clauses: 0
% 0.15/0.54  #    Negative unit clauses             : 11
% 0.15/0.54  #    Non-unit-clauses                  : 271
% 0.15/0.54  # Current number of unprocessed clauses: 4055
% 0.15/0.54  # ...number of literals in the above   : 4863
% 0.15/0.54  # Current number of archived formulas  : 0
% 0.15/0.54  # Current number of archived clauses   : 13
% 0.15/0.54  # Clause-clause subsumption calls (NU) : 12543
% 0.15/0.54  # Rec. Clause-clause subsumption calls : 12543
% 0.15/0.54  # Non-unit clause-clause subsumptions  : 1046
% 0.15/0.54  # Unit Clause-clause subsumption calls : 434
% 0.15/0.54  # Rewrite failures with RHS unbound    : 0
% 0.15/0.54  # BW rewrite match attempts            : 21387
% 0.15/0.54  # BW rewrite match successes           : 2
% 0.15/0.54  # Condensation attempts                : 0
% 0.15/0.54  # Condensation successes               : 0
% 0.15/0.54  # Termbank termtop insertions          : 105022
% 0.15/0.54  
% 0.15/0.54  # -------------------------------------------------
% 0.15/0.54  # User time                : 0.106 s
% 0.15/0.54  # System time              : 0.004 s
% 0.15/0.54  # Total time               : 0.110 s
% 0.15/0.54  # Maximum resident set size: 1652 pages
% 0.15/0.54  
% 0.15/0.54  # -------------------------------------------------
% 0.15/0.54  # User time                : 0.532 s
% 0.15/0.54  # System time              : 0.015 s
% 0.15/0.54  # Total time               : 0.548 s
% 0.15/0.54  # Maximum resident set size: 1680 pages
% 0.15/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------