TSTP Solution File: SYN637-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 0.15s 0.44s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;  15 RR)
%            Number of literals    :   36 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p22_28,negated_conjecture,
    ( p22(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p22(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p22_28) ).

cnf(p4_4,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p4_4) ).

cnf(p4_12,negated_conjecture,
    ( p4(f16(X1),f16(X2))
    | ~ p4(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p4_12) ).

cnf(p22_40,negated_conjecture,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p22_40) ).

cnf(not_p22_41,negated_conjecture,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',not_p22_41) ).

cnf(p4_32,negated_conjecture,
    ( p4(f17(X1,X2),f17(X3,X4))
    | ~ p4(X1,X3)
    | ~ p4(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p4_32) ).

cnf(p4_39,negated_conjecture,
    p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
    file('/export/starexec/sandbox/tmp/tmp.xljsfwm83T/E---3.1_17298.p',p4_39) ).

cnf(c_0_7,negated_conjecture,
    ( p22(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p22(X3,X4) ),
    p22_28 ).

cnf(c_0_8,negated_conjecture,
    p4(X1,X1),
    p4_4 ).

cnf(c_0_9,negated_conjecture,
    ( p22(X1,X2)
    | ~ p22(X3,X2)
    | ~ p4(X3,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    ( p4(f16(X1),f16(X2))
    | ~ p4(X1,X2) ),
    p4_12 ).

cnf(c_0_11,negated_conjecture,
    ( p22(f16(X1),X2)
    | ~ p22(f16(X3),X2)
    | ~ p4(X3,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    p22_40 ).

cnf(c_0_13,negated_conjecture,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    not_p22_41 ).

cnf(c_0_14,negated_conjecture,
    ( p22(f16(X1),f16(f17(c27,f5(c25,c26,c27))))
    | ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    ( p4(f17(X1,X2),f17(X3,X4))
    | ~ p4(X1,X3)
    | ~ p4(X2,X4) ),
    p4_32 ).

cnf(c_0_17,negated_conjecture,
    p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
    p4_39 ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n032.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 18:25:19 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.xljsfwm83T/E---3.1_17298.p
% 0.15/0.44  # Version: 3.1pre001
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # Starting sh5l with 300s (1) cores
% 0.15/0.44  # new_bool_3 with pid 17376 completed with status 0
% 0.15/0.44  # Result found by new_bool_3
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FHUNM-FFMS31-DFFFFFNN
% 0.15/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.44  # SAT001_MinMin_p005000_rr_RG with pid 17379 completed with status 0
% 0.15/0.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FHUNM-FFMS31-DFFFFFNN
% 0.15/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.44  # Preprocessing time       : 0.001 s
% 0.15/0.44  # Presaturation interreduction done
% 0.15/0.44  
% 0.15/0.44  # Proof found!
% 0.15/0.44  # SZS status Unsatisfiable
% 0.15/0.44  # SZS output start CNFRefutation
% See solution above
% 0.15/0.44  # Parsed axioms                        : 41
% 0.15/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.44  # Initial clauses                      : 41
% 0.15/0.44  # Removed in clause preprocessing      : 0
% 0.15/0.44  # Initial clauses in saturation        : 41
% 0.15/0.44  # Processed clauses                    : 247
% 0.15/0.44  # ...of these trivial                  : 0
% 0.15/0.44  # ...subsumed                          : 50
% 0.15/0.44  # ...remaining for further processing  : 197
% 0.15/0.44  # Other redundant clauses eliminated   : 0
% 0.15/0.44  # Clauses deleted for lack of memory   : 0
% 0.15/0.44  # Backward-subsumed                    : 0
% 0.15/0.44  # Backward-rewritten                   : 0
% 0.15/0.44  # Generated clauses                    : 364
% 0.15/0.44  # ...of the previous two non-redundant : 349
% 0.15/0.44  # ...aggressively subsumed             : 0
% 0.15/0.44  # Contextual simplify-reflections      : 0
% 0.15/0.44  # Paramodulations                      : 364
% 0.15/0.44  # Factorizations                       : 0
% 0.15/0.44  # NegExts                              : 0
% 0.15/0.44  # Equation resolutions                 : 0
% 0.15/0.44  # Total rewrite steps                  : 13
% 0.15/0.44  # Propositional unsat checks           : 0
% 0.15/0.44  #    Propositional check models        : 0
% 0.15/0.44  #    Propositional check unsatisfiable : 0
% 0.15/0.44  #    Propositional clauses             : 0
% 0.15/0.44  #    Propositional clauses after purity: 0
% 0.15/0.44  #    Propositional unsat core size     : 0
% 0.15/0.44  #    Propositional preprocessing time  : 0.000
% 0.15/0.44  #    Propositional encoding time       : 0.000
% 0.15/0.44  #    Propositional solver time         : 0.000
% 0.15/0.44  #    Success case prop preproc time    : 0.000
% 0.15/0.44  #    Success case prop encoding time   : 0.000
% 0.15/0.44  #    Success case prop solver time     : 0.000
% 0.15/0.44  # Current number of processed clauses  : 156
% 0.15/0.44  #    Positive orientable unit clauses  : 12
% 0.15/0.44  #    Positive unorientable unit clauses: 0
% 0.15/0.44  #    Negative unit clauses             : 5
% 0.15/0.44  #    Non-unit-clauses                  : 139
% 0.15/0.44  # Current number of unprocessed clauses: 184
% 0.15/0.44  # ...number of literals in the above   : 605
% 0.15/0.44  # Current number of archived formulas  : 0
% 0.15/0.44  # Current number of archived clauses   : 41
% 0.15/0.44  # Clause-clause subsumption calls (NU) : 3768
% 0.15/0.44  # Rec. Clause-clause subsumption calls : 3425
% 0.15/0.44  # Non-unit clause-clause subsumptions  : 50
% 0.15/0.44  # Unit Clause-clause subsumption calls : 1
% 0.15/0.44  # Rewrite failures with RHS unbound    : 0
% 0.15/0.44  # BW rewrite match attempts            : 6
% 0.15/0.44  # BW rewrite match successes           : 0
% 0.15/0.44  # Condensation attempts                : 0
% 0.15/0.44  # Condensation successes               : 0
% 0.15/0.44  # Termbank termtop insertions          : 6873
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.010 s
% 0.15/0.44  # System time              : 0.001 s
% 0.15/0.44  # Total time               : 0.011 s
% 0.15/0.44  # Maximum resident set size: 1824 pages
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.011 s
% 0.15/0.44  # System time              : 0.002 s
% 0.15/0.44  # Total time               : 0.014 s
% 0.15/0.44  # Maximum resident set size: 1720 pages
% 0.15/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------