TSTP Solution File: SYO629-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 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 20:49:52 EDT 2023

% Result   : Unsatisfiable 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  11 unt;   7 nHn;  16 RR)
%            Number of literals    :   49 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_10_06,axiom,
    ( 'E'('0',f(X2))
    | 'LE'(f(X2),'0')
    | ~ 'LE'(f(X1),s('0'))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_10_06) ).

cnf(clause_7_05,axiom,
    ~ 'LE'(f(X1),'0'),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_7_05) ).

cnf(clause_6_04,axiom,
    ( 'E'(s('0'),f(X1))
    | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_6_04) ).

cnf(clause_1_07,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_1_07) ).

cnf(clause_8_01,axiom,
    ~ 'E'(f(X1),f(g(X1))),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_8_01) ).

cnf(clause_0_02,axiom,
    iLEQ(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_0_02) ).

cnf(clause_3_09,axiom,
    iLEQ(X1,g(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_3_09) ).

cnf(clause_11_03,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(g(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.8ztVVVOVOe/E---3.1_21952.p',clause_11_03) ).

cnf(c_0_8,axiom,
    ( 'E'('0',f(X2))
    | 'LE'(f(X2),'0')
    | ~ 'LE'(f(X1),s('0'))
    | ~ iLEQ(X1,X2) ),
    clause_10_06 ).

cnf(c_0_9,axiom,
    ~ 'LE'(f(X1),'0'),
    clause_7_05 ).

cnf(c_0_10,plain,
    ( 'E'('0',f(X1))
    | ~ 'LE'(f(X2),s('0'))
    | ~ iLEQ(X2,X1) ),
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    ( 'E'(s('0'),f(X1))
    | 'LE'(f(X1),s('0')) ),
    clause_6_04 ).

cnf(c_0_12,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    clause_1_07 ).

cnf(c_0_13,axiom,
    ~ 'E'(f(X1),f(g(X1))),
    clause_8_01 ).

cnf(c_0_14,plain,
    ( 'E'(s('0'),f(X1))
    | 'E'('0',f(X2))
    | ~ iLEQ(X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,axiom,
    iLEQ(X1,X1),
    clause_0_02 ).

cnf(c_0_16,axiom,
    iLEQ(X1,g(X1)),
    clause_3_09 ).

cnf(c_0_17,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(g(X1))) ),
    clause_11_03 ).

cnf(c_0_18,plain,
    ( ~ 'E'(s('0'),f(g(X1)))
    | ~ 'E'(s('0'),f(X1)) ),
    inference(sr,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( 'E'(s('0'),f(X1))
    | 'E'('0',f(X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( 'E'('0',f(g(X1)))
    | 'E'(s('0'),f(X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_16]) ).

cnf(c_0_21,plain,
    ( ~ 'E'('0',f(g(X1)))
    | ~ 'E'('0',f(X1)) ),
    inference(sr,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_22,plain,
    'E'('0',f(g(X1))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,plain,
    ~ 'E'('0',f(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_24,plain,
    $false,
    inference(sr,[status(thm)],[c_0_22,c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n005.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 15:59:46 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  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.8ztVVVOVOe/E---3.1_21952.p
% 0.16/0.43  # Version: 3.1pre001
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22029 completed with status 0
% 0.16/0.43  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FGUNM-FFSF11-SFFFFFNN
% 0.16/0.43  # partial match(1): FGUNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.43  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 136s (1) cores
% 0.16/0.43  # Starting sh5l with 136s (1) cores
% 0.16/0.43  # SAT001_CO_MinMin_p005000_rr with pid 22035 completed with status 0
% 0.16/0.43  # Result found by SAT001_CO_MinMin_p005000_rr
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FGUNM-FFSF11-SFFFFFNN
% 0.16/0.43  # partial match(1): FGUNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  # Presaturation interreduction done
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Unsatisfiable
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 12
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.43  # Initial clauses                      : 12
% 0.16/0.43  # Removed in clause preprocessing      : 0
% 0.16/0.43  # Initial clauses in saturation        : 12
% 0.16/0.43  # Processed clauses                    : 25
% 0.16/0.43  # ...of these trivial                  : 2
% 0.16/0.43  # ...subsumed                          : 2
% 0.16/0.43  # ...remaining for further processing  : 21
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 0
% 0.16/0.43  # Backward-rewritten                   : 2
% 0.16/0.43  # Generated clauses                    : 7
% 0.16/0.43  # ...of the previous two non-redundant : 7
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 1
% 0.16/0.43  # Paramodulations                      : 5
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Total rewrite steps                  : 4
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 9
% 0.16/0.43  #    Positive orientable unit clauses  : 2
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 3
% 0.16/0.43  #    Non-unit-clauses                  : 4
% 0.16/0.43  # Current number of unprocessed clauses: 1
% 0.16/0.43  # ...number of literals in the above   : 2
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 12
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 6
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 6
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 1
% 0.16/0.43  # Unit Clause-clause subsumption calls : 1
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 1
% 0.16/0.43  # BW rewrite match successes           : 1
% 0.16/0.43  # Condensation attempts                : 25
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 464
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.002 s
% 0.16/0.43  # System time              : 0.001 s
% 0.16/0.43  # Total time               : 0.004 s
% 0.16/0.43  # Maximum resident set size: 1668 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.011 s
% 0.16/0.43  # System time              : 0.004 s
% 0.16/0.43  # Total time               : 0.015 s
% 0.16/0.43  # Maximum resident set size: 1672 pages
% 0.16/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------