TSTP Solution File: SYN564-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% 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 20:33:06 EDT 2023

% Result   : Unsatisfiable 3.52s 0.94s
% Output   : CNFRefutation 3.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  19 unt;   0 nHn;  18 RR)
%            Number of literals    :   61 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_9,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p4_9) ).

cnf(p4_2,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p4_2) ).

cnf(p2_17,negated_conjecture,
    ( p2(f9(X1,X2),f9(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p2_17) ).

cnf(p2_3,negated_conjecture,
    p2(f5(f7(X1)),f5(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p2_3) ).

cnf(p4_4,negated_conjecture,
    p4(f8(X1,X2),f6(X1,f7(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p4_4) ).

cnf(p10_14,negated_conjecture,
    ( p10(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p10(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p10_14) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p2_1) ).

cnf(p2_6,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p4(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p2_6) ).

cnf(p10_13,negated_conjecture,
    ( p10(f9(X1,X2),X3)
    | ~ p10(X1,f3(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p10_13) ).

cnf(p10_10,negated_conjecture,
    p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',p10_10) ).

cnf(not_p10_11,negated_conjecture,
    ~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
    file('/export/starexec/sandbox2/tmp/tmp.jroLeazSpx/E---3.1_12901.p',not_p10_11) ).

cnf(c_0_11,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    p4_9 ).

cnf(c_0_12,negated_conjecture,
    p4(X1,X1),
    p4_2 ).

cnf(c_0_13,negated_conjecture,
    ( p2(f9(X1,X2),f9(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_17 ).

cnf(c_0_14,negated_conjecture,
    p2(f5(f7(X1)),f5(X1)),
    p2_3 ).

cnf(c_0_15,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    p4(f8(X1,X2),f6(X1,f7(X2))),
    p4_4 ).

cnf(c_0_17,negated_conjecture,
    ( p10(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p10(X3,X4) ),
    p10_14 ).

cnf(c_0_18,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_19,negated_conjecture,
    ( p2(f9(X1,f5(f7(X2))),f9(X3,f5(X2)))
    | ~ p2(X1,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p4(X1,X2) ),
    p2_6 ).

cnf(c_0_21,negated_conjecture,
    p4(f6(X1,f7(X2)),f8(X1,X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( p10(X1,X2)
    | ~ p10(X3,X2)
    | ~ p2(X3,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    p2(f9(X1,f5(f7(X2))),f9(X1,f5(X2))),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( p10(f9(X1,X2),X3)
    | ~ p10(X1,f3(X3,X2)) ),
    p10_13 ).

cnf(c_0_25,negated_conjecture,
    p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
    p10_10 ).

cnf(c_0_26,negated_conjecture,
    p2(f5(f6(X1,f7(X2))),f5(f8(X1,X2))),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ( p10(f9(X1,f5(X2)),X3)
    | ~ p10(f9(X1,f5(f7(X2))),X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    p10(f9(f5(X1),f5(X2)),f5(f6(X1,X2))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( p10(X1,f5(f8(X2,X3)))
    | ~ p10(X4,f5(f6(X2,f7(X3))))
    | ~ p2(X4,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    p10(f9(f5(X1),f5(X2)),f5(f6(X1,f7(X2)))),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( p10(X1,f5(f8(X2,X3)))
    | ~ p2(f9(f5(X2),f5(X3)),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
    not_p10_11 ).

cnf(c_0_33,negated_conjecture,
    p10(f9(f5(X1),f5(X2)),f5(f8(X1,X2))),
    inference(spm,[status(thm)],[c_0_31,c_0_18]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 18:20:16 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  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.jroLeazSpx/E---3.1_12901.p
% 3.52/0.94  # Version: 3.1pre001
% 3.52/0.94  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.52/0.94  # Starting new_bool_3 with 300s (1) cores
% 3.52/0.94  # Starting new_bool_1 with 300s (1) cores
% 3.52/0.94  # Starting sh5l with 300s (1) cores
% 3.52/0.94  # new_bool_1 with pid 12981 completed with status 0
% 3.52/0.94  # Result found by new_bool_1
% 3.52/0.94  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.52/0.94  # Starting new_bool_3 with 300s (1) cores
% 3.52/0.94  # Starting new_bool_1 with 300s (1) cores
% 3.52/0.94  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.52/0.94  # Search class: FHUNM-FFSF21-MFFFFFNN
% 3.52/0.94  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.94  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 3.52/0.94  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 12984 completed with status 0
% 3.52/0.94  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 3.52/0.94  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.52/0.94  # Starting new_bool_3 with 300s (1) cores
% 3.52/0.94  # Starting new_bool_1 with 300s (1) cores
% 3.52/0.94  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.52/0.94  # Search class: FHUNM-FFSF21-MFFFFFNN
% 3.52/0.94  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.94  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 3.52/0.94  # Preprocessing time       : 0.001 s
% 3.52/0.94  # Presaturation interreduction done
% 3.52/0.94  
% 3.52/0.94  # Proof found!
% 3.52/0.94  # SZS status Unsatisfiable
% 3.52/0.94  # SZS output start CNFRefutation
% See solution above
% 3.52/0.94  # Parsed axioms                        : 18
% 3.52/0.94  # Removed by relevancy pruning/SinE    : 0
% 3.52/0.94  # Initial clauses                      : 18
% 3.52/0.94  # Removed in clause preprocessing      : 0
% 3.52/0.94  # Initial clauses in saturation        : 18
% 3.52/0.94  # Processed clauses                    : 2131
% 3.52/0.94  # ...of these trivial                  : 911
% 3.52/0.94  # ...subsumed                          : 0
% 3.52/0.94  # ...remaining for further processing  : 1220
% 3.52/0.94  # Other redundant clauses eliminated   : 0
% 3.52/0.94  # Clauses deleted for lack of memory   : 0
% 3.52/0.94  # Backward-subsumed                    : 0
% 3.52/0.94  # Backward-rewritten                   : 1
% 3.52/0.94  # Generated clauses                    : 42696
% 3.52/0.94  # ...of the previous two non-redundant : 39463
% 3.52/0.94  # ...aggressively subsumed             : 0
% 3.52/0.94  # Contextual simplify-reflections      : 0
% 3.52/0.94  # Paramodulations                      : 42696
% 3.52/0.94  # Factorizations                       : 0
% 3.52/0.94  # NegExts                              : 0
% 3.52/0.94  # Equation resolutions                 : 0
% 3.52/0.94  # Total rewrite steps                  : 4126
% 3.52/0.94  # Propositional unsat checks           : 0
% 3.52/0.94  #    Propositional check models        : 0
% 3.52/0.94  #    Propositional check unsatisfiable : 0
% 3.52/0.94  #    Propositional clauses             : 0
% 3.52/0.94  #    Propositional clauses after purity: 0
% 3.52/0.94  #    Propositional unsat core size     : 0
% 3.52/0.94  #    Propositional preprocessing time  : 0.000
% 3.52/0.94  #    Propositional encoding time       : 0.000
% 3.52/0.94  #    Propositional solver time         : 0.000
% 3.52/0.94  #    Success case prop preproc time    : 0.000
% 3.52/0.94  #    Success case prop encoding time   : 0.000
% 3.52/0.94  #    Success case prop solver time     : 0.000
% 3.52/0.94  # Current number of processed clauses  : 1201
% 3.52/0.94  #    Positive orientable unit clauses  : 915
% 3.52/0.94  #    Positive unorientable unit clauses: 0
% 3.52/0.94  #    Negative unit clauses             : 0
% 3.52/0.94  #    Non-unit-clauses                  : 286
% 3.52/0.94  # Current number of unprocessed clauses: 37368
% 3.52/0.94  # ...number of literals in the above   : 40857
% 3.52/0.94  # Current number of archived formulas  : 0
% 3.52/0.94  # Current number of archived clauses   : 19
% 3.52/0.94  # Clause-clause subsumption calls (NU) : 6041
% 3.52/0.94  # Rec. Clause-clause subsumption calls : 5133
% 3.52/0.94  # Non-unit clause-clause subsumptions  : 0
% 3.52/0.94  # Unit Clause-clause subsumption calls : 346
% 3.52/0.94  # Rewrite failures with RHS unbound    : 0
% 3.52/0.94  # BW rewrite match attempts            : 8026
% 3.52/0.94  # BW rewrite match successes           : 1
% 3.52/0.94  # Condensation attempts                : 0
% 3.52/0.94  # Condensation successes               : 0
% 3.52/0.94  # Termbank termtop insertions          : 701059
% 3.52/0.94  
% 3.52/0.94  # -------------------------------------------------
% 3.52/0.94  # User time                : 0.389 s
% 3.52/0.94  # System time              : 0.020 s
% 3.52/0.94  # Total time               : 0.409 s
% 3.52/0.94  # Maximum resident set size: 1624 pages
% 3.52/0.94  
% 3.52/0.94  # -------------------------------------------------
% 3.52/0.94  # User time                : 0.390 s
% 3.52/0.94  # System time              : 0.023 s
% 3.52/0.94  # Total time               : 0.413 s
% 3.52/0.94  # Maximum resident set size: 1688 pages
% 3.52/0.94  % E---3.1 exiting
%------------------------------------------------------------------------------