TSTP Solution File: LCL226-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 18:24:16 EDT 2023

% Result   : Unsatisfiable 451.21s 136.49s
% Output   : CNFRefutation 451.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   34 (  22 unt;   0 nHn;  14 RR)
%            Number of literals    :   51 (   2 equ;  20 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   71 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',rule_1) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',axiom_1_6) ).

cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',rule_2) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',axiom_1_5) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',implies_definition) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',axiom_1_3) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',axiom_1_2) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))),
    file('/export/starexec/sandbox2/tmp/tmp.CkuZyVLsIl/E---3.1_16845.p',prove_this) ).

cnf(c_0_8,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1 ).

cnf(c_0_9,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_10,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    rule_2 ).

cnf(c_0_11,plain,
    theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( theorem(implies(or(X1,X2),or(X1,X3)))
    | ~ theorem(implies(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

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

cnf(c_0_14,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X1,X3))
    | ~ theorem(implies(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_15,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

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

cnf(c_0_17,plain,
    theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    inference(spm,[status(thm)],[c_0_8,c_0_13]) ).

cnf(c_0_18,plain,
    ( theorem(implies(X1,X2))
    | ~ theorem(implies(X1,X3))
    | ~ theorem(implies(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).

cnf(c_0_19,plain,
    theorem(implies(X1,or(X2,X1))),
    inference(spm,[status(thm)],[c_0_8,c_0_16]) ).

cnf(c_0_20,axiom,
    axiom(implies(or(X1,X1),X1)),
    axiom_1_2 ).

cnf(c_0_21,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_17]) ).

cnf(c_0_22,plain,
    ( theorem(implies(X1,X2))
    | ~ theorem(implies(or(X3,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    theorem(implies(or(X1,X1),X1)),
    inference(spm,[status(thm)],[c_0_8,c_0_20]) ).

cnf(c_0_24,plain,
    ( theorem(or(X1,implies(X2,X3)))
    | ~ theorem(implies(X2,or(X1,X3))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_15]) ).

cnf(c_0_25,plain,
    theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ~ theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))),
    prove_this ).

cnf(c_0_27,plain,
    ( theorem(implies(or(X1,X2),X3))
    | ~ theorem(implies(or(X1,X4),X3))
    | ~ theorem(implies(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_12]) ).

cnf(c_0_28,plain,
    theorem(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_15]) ).

cnf(c_0_29,plain,
    theorem(or(X1,implies(or(X1,X2),X2))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ~ theorem(implies(or(q,r),implies(implies(r,s),or(q,s)))),
    inference(rw,[status(thm)],[c_0_26,c_0_15]) ).

cnf(c_0_31,plain,
    ( theorem(implies(or(X1,X2),implies(X3,or(X1,X4))))
    | ~ theorem(implies(X2,implies(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    theorem(implies(X1,implies(implies(X1,X2),X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_15]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n023.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 12:51:52 EDT 2023
% 0.13/0.35  % 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.CkuZyVLsIl/E---3.1_16845.p
% 451.21/136.49  # Version: 3.1pre001
% 451.21/136.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 451.21/136.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 451.21/136.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 451.21/136.49  # Starting new_bool_3 with 300s (1) cores
% 451.21/136.49  # Starting new_bool_1 with 300s (1) cores
% 451.21/136.49  # Starting sh5l with 300s (1) cores
% 451.21/136.49  # sh5l with pid 16925 completed with status 0
% 451.21/136.49  # Result found by sh5l
% 451.21/136.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 451.21/136.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 451.21/136.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 451.21/136.49  # Starting new_bool_3 with 300s (1) cores
% 451.21/136.49  # Starting new_bool_1 with 300s (1) cores
% 451.21/136.49  # Starting sh5l with 300s (1) cores
% 451.21/136.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 451.21/136.49  # Search class: FHUSM-FFSF21-MFFFFFNN
% 451.21/136.49  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 451.21/136.49  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 451.21/136.49  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16930 completed with status 7
% 451.21/136.49  # Starting sh5l with 31s (1) cores
% 451.21/136.49  # sh5l with pid 16936 completed with status 7
% 451.21/136.49  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 28s (1) cores
% 451.21/136.49  # G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with pid 16938 completed with status 0
% 451.21/136.49  # Result found by G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y
% 451.21/136.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 451.21/136.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 451.21/136.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 451.21/136.49  # Starting new_bool_3 with 300s (1) cores
% 451.21/136.49  # Starting new_bool_1 with 300s (1) cores
% 451.21/136.49  # Starting sh5l with 300s (1) cores
% 451.21/136.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 451.21/136.49  # Search class: FHUSM-FFSF21-MFFFFFNN
% 451.21/136.49  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 451.21/136.49  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 451.21/136.49  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16930 completed with status 7
% 451.21/136.49  # Starting sh5l with 31s (1) cores
% 451.21/136.49  # sh5l with pid 16936 completed with status 7
% 451.21/136.49  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 28s (1) cores
% 451.21/136.49  # Preprocessing time       : 0.001 s
% 451.21/136.49  # Presaturation interreduction done
% 451.21/136.49  
% 451.21/136.49  # Proof found!
% 451.21/136.49  # SZS status Unsatisfiable
% 451.21/136.49  # SZS output start CNFRefutation
% See solution above
% 451.21/136.49  # Parsed axioms                        : 9
% 451.21/136.49  # Removed by relevancy pruning/SinE    : 0
% 451.21/136.49  # Initial clauses                      : 9
% 451.21/136.49  # Removed in clause preprocessing      : 0
% 451.21/136.49  # Initial clauses in saturation        : 9
% 451.21/136.49  # Processed clauses                    : 7956
% 451.21/136.49  # ...of these trivial                  : 256
% 451.21/136.49  # ...subsumed                          : 6393
% 451.21/136.49  # ...remaining for further processing  : 1307
% 451.21/136.49  # Other redundant clauses eliminated   : 0
% 451.21/136.49  # Clauses deleted for lack of memory   : 0
% 451.21/136.49  # Backward-subsumed                    : 17
% 451.21/136.49  # Backward-rewritten                   : 17
% 451.21/136.49  # Generated clauses                    : 71994
% 451.21/136.49  # ...of the previous two non-redundant : 66702
% 451.21/136.49  # ...aggressively subsumed             : 0
% 451.21/136.49  # Contextual simplify-reflections      : 0
% 451.21/136.49  # Paramodulations                      : 71994
% 451.21/136.49  # Factorizations                       : 0
% 451.21/136.49  # NegExts                              : 0
% 451.21/136.49  # Equation resolutions                 : 0
% 451.21/136.49  # Total rewrite steps                  : 8110
% 451.21/136.49  # Propositional unsat checks           : 0
% 451.21/136.49  #    Propositional check models        : 0
% 451.21/136.49  #    Propositional check unsatisfiable : 0
% 451.21/136.49  #    Propositional clauses             : 0
% 451.21/136.49  #    Propositional clauses after purity: 0
% 451.21/136.49  #    Propositional unsat core size     : 0
% 451.21/136.49  #    Propositional preprocessing time  : 0.000
% 451.21/136.49  #    Propositional encoding time       : 0.000
% 451.21/136.49  #    Propositional solver time         : 0.000
% 451.21/136.49  #    Success case prop preproc time    : 0.000
% 451.21/136.49  #    Success case prop encoding time   : 0.000
% 451.21/136.49  #    Success case prop solver time     : 0.000
% 451.21/136.49  # Current number of processed clauses  : 1264
% 451.21/136.49  #    Positive orientable unit clauses  : 473
% 451.21/136.49  #    Positive unorientable unit clauses: 0
% 451.21/136.49  #    Negative unit clauses             : 31
% 451.21/136.49  #    Non-unit-clauses                  : 760
% 451.21/136.49  # Current number of unprocessed clauses: 56671
% 451.21/136.49  # ...number of literals in the above   : 113217
% 451.21/136.49  # Current number of archived formulas  : 0
% 451.21/136.49  # Current number of archived clauses   : 43
% 451.21/136.49  # Clause-clause subsumption calls (NU) : 108386
% 451.21/136.49  # Rec. Clause-clause subsumption calls : 108300
% 451.21/136.49  # Non-unit clause-clause subsumptions  : 7163
% 451.21/136.49  # Unit Clause-clause subsumption calls : 4052
% 451.21/136.49  # Rewrite failures with RHS unbound    : 0
% 451.21/136.49  # BW rewrite match attempts            : 13645
% 451.21/136.49  # BW rewrite match successes           : 17
% 451.21/136.49  # Condensation attempts                : 7956
% 451.21/136.49  # Condensation successes               : 868
% 451.21/136.49  # Termbank termtop insertions          : 859413
% 451.21/136.49  
% 451.21/136.49  # -------------------------------------------------
% 451.21/136.49  # User time                : 58.506 s
% 451.21/136.49  # System time              : 1.096 s
% 451.21/136.49  # Total time               : 59.602 s
% 451.21/136.49  # Maximum resident set size: 1652 pages
% 451.21/136.49  
% 451.21/136.49  # -------------------------------------------------
% 451.21/136.49  # User time                : 58.508 s
% 451.21/136.49  # System time              : 1.100 s
% 451.21/136.49  # Total time               : 59.608 s
% 451.21/136.49  # Maximum resident set size: 1680 pages
% 451.21/136.49  % E---3.1 exiting
%------------------------------------------------------------------------------