TSTP Solution File: SYN641-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN641-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 20:33:17 EDT 2023

% Result   : Unsatisfiable 1.90s 0.70s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  13 unt;   0 nHn;  21 RR)
%            Number of literals    :   45 (   0 equ;  24 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p6_23,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X3,X1)
    | ~ p6(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_23) ).

cnf(p6_4,negated_conjecture,
    p6(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_4) ).

cnf(p6_33,negated_conjecture,
    ( p6(f9(X1,X2),f9(X3,X4))
    | ~ p6(X2,X4)
    | ~ p6(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_33) ).

cnf(p6_38,negated_conjecture,
    ( p6(f7(f10(X1,X2)),f9(f7(X1),f7(X2)))
    | ~ p15(X1)
    | ~ p15(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_38) ).

cnf(not_p6_28,negated_conjecture,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',not_p6_28) ).

cnf(p6_12,negated_conjecture,
    p6(f7(f3(c18)),f7(c18)),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_12) ).

cnf(p6_13,negated_conjecture,
    p6(f7(f3(c19)),f7(c19)),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',p6_13) ).

cnf(f3_is_p15_2,negated_conjecture,
    p15(f3(c18)),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',f3_is_p15_2) ).

cnf(f3_is_p15_1,negated_conjecture,
    p15(f3(c19)),
    file('/export/starexec/sandbox2/tmp/tmp.RX5Bk40Z2M/E---3.1_27057.p',f3_is_p15_1) ).

cnf(c_0_9,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X3,X1)
    | ~ p6(X3,X2) ),
    p6_23 ).

cnf(c_0_10,negated_conjecture,
    p6(X1,X1),
    p6_4 ).

cnf(c_0_11,negated_conjecture,
    ( p6(f9(X1,X2),f9(X3,X4))
    | ~ p6(X2,X4)
    | ~ p6(X1,X3) ),
    p6_33 ).

cnf(c_0_12,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X2,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( p6(f7(f10(X1,X2)),f9(f7(X1),f7(X2)))
    | ~ p15(X1)
    | ~ p15(X2) ),
    p6_38 ).

cnf(c_0_14,negated_conjecture,
    ( p6(X1,f9(X2,X3))
    | ~ p6(f9(X4,X5),X1)
    | ~ p6(X5,X3)
    | ~ p6(X4,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( p6(f9(f7(X1),f7(X2)),f7(f10(X1,X2)))
    | ~ p15(X2)
    | ~ p15(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    not_p6_28 ).

cnf(c_0_17,negated_conjecture,
    ( p6(f7(f10(X1,X2)),f9(X3,X4))
    | ~ p6(f7(X2),X4)
    | ~ p6(f7(X1),X3)
    | ~ p15(X2)
    | ~ p15(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    p6(f7(f3(c18)),f7(c18)),
    p6_12 ).

cnf(c_0_19,negated_conjecture,
    p6(f7(f3(c19)),f7(c19)),
    p6_13 ).

cnf(c_0_20,negated_conjecture,
    p15(f3(c18)),
    f3_is_p15_2 ).

cnf(c_0_21,negated_conjecture,
    p15(f3(c19)),
    f3_is_p15_1 ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN641-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.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
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 18:32:14 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.RX5Bk40Z2M/E---3.1_27057.p
% 1.90/0.70  # Version: 3.1pre001
% 1.90/0.70  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.90/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.90/0.70  # Starting new_bool_3 with 300s (1) cores
% 1.90/0.70  # Starting new_bool_1 with 300s (1) cores
% 1.90/0.70  # Starting sh5l with 300s (1) cores
% 1.90/0.70  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27156 completed with status 0
% 1.90/0.70  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.90/0.70  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.90/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.90/0.70  # No SInE strategy applied
% 1.90/0.70  # Search class: FGUNM-FFMM21-MFFFFFNN
% 1.90/0.70  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.70  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.90/0.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.90/0.70  # Starting new_bool_3 with 136s (1) cores
% 1.90/0.70  # Starting new_bool_1 with 136s (1) cores
% 1.90/0.70  # Starting sh5l with 136s (1) cores
% 1.90/0.70  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27161 completed with status 0
% 1.90/0.70  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.90/0.70  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.90/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.90/0.70  # No SInE strategy applied
% 1.90/0.70  # Search class: FGUNM-FFMM21-MFFFFFNN
% 1.90/0.70  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.70  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.90/0.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.90/0.70  # Preprocessing time       : 0.002 s
% 1.90/0.70  # Presaturation interreduction done
% 1.90/0.70  
% 1.90/0.70  # Proof found!
% 1.90/0.70  # SZS status Unsatisfiable
% 1.90/0.70  # SZS output start CNFRefutation
% See solution above
% 1.90/0.70  # Parsed axioms                        : 42
% 1.90/0.70  # Removed by relevancy pruning/SinE    : 0
% 1.90/0.70  # Initial clauses                      : 42
% 1.90/0.70  # Removed in clause preprocessing      : 0
% 1.90/0.70  # Initial clauses in saturation        : 42
% 1.90/0.70  # Processed clauses                    : 3097
% 1.90/0.70  # ...of these trivial                  : 0
% 1.90/0.70  # ...subsumed                          : 1962
% 1.90/0.70  # ...remaining for further processing  : 1135
% 1.90/0.70  # Other redundant clauses eliminated   : 0
% 1.90/0.70  # Clauses deleted for lack of memory   : 0
% 1.90/0.70  # Backward-subsumed                    : 41
% 1.90/0.70  # Backward-rewritten                   : 0
% 1.90/0.70  # Generated clauses                    : 10663
% 1.90/0.70  # ...of the previous two non-redundant : 9551
% 1.90/0.70  # ...aggressively subsumed             : 0
% 1.90/0.70  # Contextual simplify-reflections      : 0
% 1.90/0.70  # Paramodulations                      : 10663
% 1.90/0.70  # Factorizations                       : 0
% 1.90/0.70  # NegExts                              : 0
% 1.90/0.70  # Equation resolutions                 : 0
% 1.90/0.70  # Total rewrite steps                  : 2049
% 1.90/0.70  # Propositional unsat checks           : 0
% 1.90/0.70  #    Propositional check models        : 0
% 1.90/0.70  #    Propositional check unsatisfiable : 0
% 1.90/0.70  #    Propositional clauses             : 0
% 1.90/0.70  #    Propositional clauses after purity: 0
% 1.90/0.70  #    Propositional unsat core size     : 0
% 1.90/0.70  #    Propositional preprocessing time  : 0.000
% 1.90/0.70  #    Propositional encoding time       : 0.000
% 1.90/0.70  #    Propositional solver time         : 0.000
% 1.90/0.70  #    Success case prop preproc time    : 0.000
% 1.90/0.70  #    Success case prop encoding time   : 0.000
% 1.90/0.70  #    Success case prop solver time     : 0.000
% 1.90/0.70  # Current number of processed clauses  : 1052
% 1.90/0.70  #    Positive orientable unit clauses  : 20
% 1.90/0.70  #    Positive unorientable unit clauses: 0
% 1.90/0.70  #    Negative unit clauses             : 1
% 1.90/0.70  #    Non-unit-clauses                  : 1031
% 1.90/0.70  # Current number of unprocessed clauses: 6487
% 1.90/0.70  # ...number of literals in the above   : 24206
% 1.90/0.70  # Current number of archived formulas  : 0
% 1.90/0.70  # Current number of archived clauses   : 83
% 1.90/0.70  # Clause-clause subsumption calls (NU) : 138669
% 1.90/0.70  # Rec. Clause-clause subsumption calls : 126127
% 1.90/0.70  # Non-unit clause-clause subsumptions  : 2003
% 1.90/0.70  # Unit Clause-clause subsumption calls : 0
% 1.90/0.70  # Rewrite failures with RHS unbound    : 0
% 1.90/0.70  # BW rewrite match attempts            : 3
% 1.90/0.70  # BW rewrite match successes           : 0
% 1.90/0.70  # Condensation attempts                : 0
% 1.90/0.70  # Condensation successes               : 0
% 1.90/0.70  # Termbank termtop insertions          : 146515
% 1.90/0.70  
% 1.90/0.70  # -------------------------------------------------
% 1.90/0.70  # User time                : 0.194 s
% 1.90/0.70  # System time              : 0.010 s
% 1.90/0.70  # Total time               : 0.204 s
% 1.90/0.70  # Maximum resident set size: 1700 pages
% 1.90/0.70  
% 1.90/0.70  # -------------------------------------------------
% 1.90/0.70  # User time                : 0.966 s
% 1.90/0.70  # System time              : 0.016 s
% 1.90/0.70  # Total time               : 0.982 s
% 1.90/0.70  # Maximum resident set size: 1712 pages
% 1.90/0.70  % E---3.1 exiting
%------------------------------------------------------------------------------