TSTP Solution File: SYN553-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN553-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 20:33:04 EDT 2023

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   32 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',p2_6) ).

cnf(p2_5,negated_conjecture,
    p2(f8(X1,X2),f8(X2,X1)),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',p2_5) ).

cnf(p2_7,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',p2_7) ).

cnf(p2_8,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',p2_8) ).

cnf(not_p2_9,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',not_p2_9) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.QJPwFT80ho/E---3.1_26563.p',p2_1) ).

cnf(c_0_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X3,X2) ),
    p2_6 ).

cnf(c_0_7,negated_conjecture,
    p2(f8(X1,X2),f8(X2,X1)),
    p2_5 ).

cnf(c_0_8,negated_conjecture,
    ( p2(X1,f8(X2,X3))
    | ~ p2(X1,f8(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
    p2_7 ).

cnf(c_0_10,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(X3,f8(X1,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_8 ).

cnf(c_0_12,negated_conjecture,
    ( p2(X1,f8(X2,f8(X3,X4)))
    | ~ p2(X1,f8(X3,f8(X4,X2))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X2,X3)
    | ~ p2(X1,X4) ),
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    not_p2_9 ).

cnf(c_0_15,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,f8(X4,X5)))
    | ~ p2(X1,f8(X5,X3))
    | ~ p2(X2,X4) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN553-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.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 18:08:08 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.QJPwFT80ho/E---3.1_26563.p
% 0.19/0.48  # Version: 3.1pre001
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 26641 completed with status 0
% 0.19/0.48  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.48  # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 0.19/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.19/0.48  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 26645 completed with status 0
% 0.19/0.48  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Unsatisfiable
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 9
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 9
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 9
% 0.19/0.48  # Processed clauses                    : 69
% 0.19/0.48  # ...of these trivial                  : 3
% 0.19/0.48  # ...subsumed                          : 15
% 0.19/0.48  # ...remaining for further processing  : 51
% 0.19/0.48  # Other redundant clauses eliminated   : 0
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 219
% 0.19/0.48  # ...of the previous two non-redundant : 189
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 219
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 0
% 0.19/0.48  # Total rewrite steps                  : 31
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 42
% 0.19/0.48  #    Positive orientable unit clauses  : 17
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 3
% 0.19/0.48  #    Non-unit-clauses                  : 22
% 0.19/0.48  # Current number of unprocessed clauses: 130
% 0.19/0.48  # ...number of literals in the above   : 345
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 9
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 149
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 147
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 15
% 0.19/0.48  # Unit Clause-clause subsumption calls : 0
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 34
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 2899
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.006 s
% 0.19/0.48  # System time              : 0.000 s
% 0.19/0.48  # Total time               : 0.006 s
% 0.19/0.48  # Maximum resident set size: 1604 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.020 s
% 0.19/0.48  # System time              : 0.006 s
% 0.19/0.48  # Total time               : 0.026 s
% 0.19/0.48  # Maximum resident set size: 1680 pages
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------