TSTP Solution File: LCL224-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 18:24:15 EDT 2023

% Result   : Unsatisfiable 4.95s 1.10s
% Output   : CNFRefutation 4.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   42 (  15 unt;   0 nHn;  22 RR)
%            Number of literals    :   73 (   0 equ;  34 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   98 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',rule_2) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',axiom_1_5) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X1),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',axiom_1_3) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',axiom_1_4) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',axiom_1_2) ).

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.doskKgUT6B/E---3.1_1549.p',rule_3) ).

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.doskKgUT6B/E---3.1_1549.p',axiom_1_6) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',rule_1) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
    file('/export/starexec/sandbox/tmp/tmp.doskKgUT6B/E---3.1_1549.p',prove_this) ).

cnf(c_0_9,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    rule_2 ).

cnf(c_0_10,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_11,axiom,
    axiom(or(not(X1),or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_12,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_13,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_15,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_12]) ).

cnf(c_0_16,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    axiom_1_2 ).

cnf(c_0_18,plain,
    ( theorem(or(or(X1,X2),X3))
    | ~ theorem(or(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_17]) ).

cnf(c_0_20,plain,
    ( theorem(or(X1,or(or(X2,X3),X4)))
    | ~ theorem(or(or(X1,X4),X3)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_21,axiom,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(X1),X3))
    | ~ theorem(or(not(X3),X2)) ),
    rule_3 ).

cnf(c_0_22,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_23,plain,
    ( theorem(or(or(X1,X2),X3))
    | ~ theorem(or(or(or(or(X1,X2),X3),X3),X2)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,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_21,c_0_22]) ).

cnf(c_0_25,plain,
    ( theorem(or(not(or(X1,X2)),or(X1,X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_22]) ).

cnf(c_0_26,plain,
    ( theorem(or(or(X1,X2),X3))
    | ~ theorem(or(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_18]) ).

cnf(c_0_27,plain,
    ( theorem(or(not(or(X1,or(X2,X3))),X4))
    | ~ theorem(or(not(or(X2,or(X1,X3))),X4)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_28,plain,
    ( theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),X4)))
    | ~ theorem(or(not(or(X3,X2)),X4)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,or(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_30,plain,
    ( theorem(or(X1,or(not(or(X1,X2)),X3)))
    | ~ theorem(or(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_25]) ).

cnf(c_0_31,plain,
    ( theorem(or(not(X1),X2))
    | ~ theorem(or(not(or(X3,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_11]) ).

cnf(c_0_32,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1 ).

cnf(c_0_33,negated_conjecture,
    ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
    prove_this ).

cnf(c_0_34,plain,
    ( theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X4,X2)),X5)))
    | ~ theorem(or(not(or(X4,or(X1,X3))),X5)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,plain,
    ( theorem(or(not(or(X1,X2)),X3))
    | ~ theorem(or(not(or(X2,X1)),X3)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_12]) ).

cnf(c_0_36,plain,
    ( theorem(or(not(or(X1,X2)),X1))
    | ~ theorem(or(not(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(or(X3,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ~ theorem(or(not(or(p,or(p,r))),or(p,r))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( theorem(or(not(or(X1,X2)),X2))
    | ~ theorem(or(not(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    theorem(or(not(X1),or(X1,X2))),
    inference(spm,[status(thm)],[c_0_37,c_0_12]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n005.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 12:32:46 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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.doskKgUT6B/E---3.1_1549.p
% 4.95/1.10  # Version: 3.1pre001
% 4.95/1.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.10  # Starting new_bool_3 with 300s (1) cores
% 4.95/1.10  # Starting new_bool_1 with 300s (1) cores
% 4.95/1.10  # Starting sh5l with 300s (1) cores
% 4.95/1.10  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1627 completed with status 0
% 4.95/1.10  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.95/1.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.10  # No SInE strategy applied
% 4.95/1.10  # Search class: FHUNM-FFSF21-MFFFFFNN
% 4.95/1.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.95/1.10  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 4.95/1.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.95/1.10  # Starting new_bool_3 with 136s (1) cores
% 4.95/1.10  # Starting new_bool_1 with 136s (1) cores
% 4.95/1.10  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 4.95/1.10  # C12_02_nc_SAT001_MinMin_p005000_rr with pid 1639 completed with status 0
% 4.95/1.10  # Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 4.95/1.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.10  # No SInE strategy applied
% 4.95/1.10  # Search class: FHUNM-FFSF21-MFFFFFNN
% 4.95/1.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.95/1.10  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 4.95/1.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.95/1.10  # Starting new_bool_3 with 136s (1) cores
% 4.95/1.10  # Starting new_bool_1 with 136s (1) cores
% 4.95/1.10  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 4.95/1.10  # Preprocessing time       : 0.001 s
% 4.95/1.10  # Presaturation interreduction done
% 4.95/1.10  
% 4.95/1.10  # Proof found!
% 4.95/1.10  # SZS status Unsatisfiable
% 4.95/1.10  # SZS output start CNFRefutation
% See solution above
% 4.95/1.10  # Parsed axioms                        : 9
% 4.95/1.10  # Removed by relevancy pruning/SinE    : 0
% 4.95/1.10  # Initial clauses                      : 9
% 4.95/1.10  # Removed in clause preprocessing      : 0
% 4.95/1.10  # Initial clauses in saturation        : 9
% 4.95/1.10  # Processed clauses                    : 7389
% 4.95/1.10  # ...of these trivial                  : 779
% 4.95/1.10  # ...subsumed                          : 4764
% 4.95/1.10  # ...remaining for further processing  : 1846
% 4.95/1.10  # Other redundant clauses eliminated   : 0
% 4.95/1.10  # Clauses deleted for lack of memory   : 0
% 4.95/1.10  # Backward-subsumed                    : 62
% 4.95/1.10  # Backward-rewritten                   : 16
% 4.95/1.10  # Generated clauses                    : 53846
% 4.95/1.10  # ...of the previous two non-redundant : 46694
% 4.95/1.10  # ...aggressively subsumed             : 0
% 4.95/1.10  # Contextual simplify-reflections      : 0
% 4.95/1.10  # Paramodulations                      : 53846
% 4.95/1.10  # Factorizations                       : 0
% 4.95/1.10  # NegExts                              : 0
% 4.95/1.10  # Equation resolutions                 : 0
% 4.95/1.10  # Total rewrite steps                  : 7915
% 4.95/1.10  # Propositional unsat checks           : 0
% 4.95/1.10  #    Propositional check models        : 0
% 4.95/1.10  #    Propositional check unsatisfiable : 0
% 4.95/1.10  #    Propositional clauses             : 0
% 4.95/1.10  #    Propositional clauses after purity: 0
% 4.95/1.10  #    Propositional unsat core size     : 0
% 4.95/1.10  #    Propositional preprocessing time  : 0.000
% 4.95/1.10  #    Propositional encoding time       : 0.000
% 4.95/1.10  #    Propositional solver time         : 0.000
% 4.95/1.10  #    Success case prop preproc time    : 0.000
% 4.95/1.10  #    Success case prop encoding time   : 0.000
% 4.95/1.10  #    Success case prop solver time     : 0.000
% 4.95/1.10  # Current number of processed clauses  : 1759
% 4.95/1.10  #    Positive orientable unit clauses  : 670
% 4.95/1.10  #    Positive unorientable unit clauses: 0
% 4.95/1.10  #    Negative unit clauses             : 125
% 4.95/1.10  #    Non-unit-clauses                  : 964
% 4.95/1.10  # Current number of unprocessed clauses: 39247
% 4.95/1.10  # ...number of literals in the above   : 56279
% 4.95/1.10  # Current number of archived formulas  : 0
% 4.95/1.10  # Current number of archived clauses   : 87
% 4.95/1.10  # Clause-clause subsumption calls (NU) : 367798
% 4.95/1.10  # Rec. Clause-clause subsumption calls : 367798
% 4.95/1.10  # Non-unit clause-clause subsumptions  : 4538
% 4.95/1.10  # Unit Clause-clause subsumption calls : 21240
% 4.95/1.10  # Rewrite failures with RHS unbound    : 0
% 4.95/1.10  # BW rewrite match attempts            : 94903
% 4.95/1.10  # BW rewrite match successes           : 6
% 4.95/1.10  # Condensation attempts                : 0
% 4.95/1.10  # Condensation successes               : 0
% 4.95/1.10  # Termbank termtop insertions          : 738877
% 4.95/1.10  
% 4.95/1.10  # -------------------------------------------------
% 4.95/1.10  # User time                : 0.574 s
% 4.95/1.10  # System time              : 0.036 s
% 4.95/1.10  # Total time               : 0.610 s
% 4.95/1.10  # Maximum resident set size: 1596 pages
% 4.95/1.10  
% 4.95/1.10  # -------------------------------------------------
% 4.95/1.10  # User time                : 2.934 s
% 4.95/1.10  # System time              : 0.095 s
% 4.95/1.10  # Total time               : 3.030 s
% 4.95/1.10  # Maximum resident set size: 1680 pages
% 4.95/1.10  % E---3.1 exiting
%------------------------------------------------------------------------------