TSTP Solution File: SYN687-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN687-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 07:47:19 EDT 2024

% Result   : Unsatisfiable 2.96s 0.87s
% Output   : CNFRefutation 2.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (   7 unt;   8 nHn;   9 RR)
%            Number of literals    :   45 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_57,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f26(f28(c47,X1),X2),X3))
    | p4(f5(f26(f28(c46,X1),X2),X4),f5(f9(X2,f26(f28(c46,X1),X2)),X4))
    | ~ p34(c36,X1)
    | ~ p35(f12(X1,X3),f30(f32(c45,X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).

cnf(p4_56,negated_conjecture,
    ( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
    | ~ p4(f5(X1,f14(f16(f18(c40,X1),X3),X2)),f5(X3,f14(f16(f18(c40,X1),X3),X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_56) ).

cnf(p4_55,negated_conjecture,
    ( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
    | p35(f12(c37,f14(f16(f18(c40,X1),X3),X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_55) ).

cnf(p34_19,negated_conjecture,
    p34(c36,c37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).

cnf(p4_58,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f9(X2,f26(f28(c46,X1),X2)),X3))
    | ~ p34(c36,X1)
    | ~ p4(f5(f9(X2,f26(f28(c46,X1),X2)),f30(f32(c45,X1),X2)),f5(f9(X2,f26(f28(c47,X1),X2)),f30(f32(c45,X1),X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).

cnf(not_p4_40,negated_conjecture,
    ~ p4(f5(X1,f7(c38,X1)),f5(f9(c39,X1),f7(c38,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_40) ).

cnf(c_0_6,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f26(f28(c47,X1),X2),X3))
    | p4(f5(f26(f28(c46,X1),X2),X4),f5(f9(X2,f26(f28(c46,X1),X2)),X4))
    | ~ p34(c36,X1)
    | ~ p35(f12(X1,X3),f30(f32(c45,X1),X2)) ),
    inference(fof_simplification,[status(thm)],[p4_57]) ).

cnf(c_0_7,negated_conjecture,
    ( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
    | ~ p4(f5(X1,f14(f16(f18(c40,X1),X3),X2)),f5(X3,f14(f16(f18(c40,X1),X3),X2))) ),
    inference(fof_simplification,[status(thm)],[p4_56]) ).

cnf(c_0_8,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f26(f28(c47,X1),X2),X3))
    | p4(f5(f26(f28(c46,X1),X2),X4),f5(f9(X2,f26(f28(c46,X1),X2)),X4))
    | ~ p34(c36,X1)
    | ~ p35(f12(X1,X3),f30(f32(c45,X1),X2)) ),
    c_0_6 ).

cnf(c_0_9,negated_conjecture,
    ( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
    | p35(f12(c37,f14(f16(f18(c40,X1),X3),X2)),X2) ),
    p4_55 ).

cnf(c_0_10,negated_conjecture,
    p34(c36,c37),
    p34_19 ).

cnf(c_0_11,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f9(X2,f26(f28(c46,X1),X2)),X3))
    | ~ p34(c36,X1)
    | ~ p4(f5(f9(X2,f26(f28(c46,X1),X2)),f30(f32(c45,X1),X2)),f5(f9(X2,f26(f28(c47,X1),X2)),f30(f32(c45,X1),X2))) ),
    inference(fof_simplification,[status(thm)],[p4_58]) ).

cnf(c_0_12,negated_conjecture,
    ( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
    | ~ p4(f5(X1,f14(f16(f18(c40,X1),X3),X2)),f5(X3,f14(f16(f18(c40,X1),X3),X2))) ),
    c_0_7 ).

cnf(c_0_13,negated_conjecture,
    ( p4(f5(f26(f28(c46,c37),X1),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X1))),f5(f26(f28(c47,c37),X1),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X1))))
    | p4(f5(f9(c39,X2),f30(f32(c45,c37),X1)),f5(f9(c39,X3),f30(f32(c45,c37),X1)))
    | p4(f5(f26(f28(c46,c37),X1),X4),f5(f9(X1,f26(f28(c46,c37),X1)),X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_14,negated_conjecture,
    ( p4(f5(f26(f28(c46,X1),X2),X3),f5(f9(X2,f26(f28(c46,X1),X2)),X3))
    | ~ p34(c36,X1)
    | ~ p4(f5(f9(X2,f26(f28(c46,X1),X2)),f30(f32(c45,X1),X2)),f5(f9(X2,f26(f28(c47,X1),X2)),f30(f32(c45,X1),X2))) ),
    c_0_11 ).

cnf(c_0_15,negated_conjecture,
    ( p4(f5(f9(c39,f26(f28(c46,c37),X1)),f30(f32(c45,c37),X1)),f5(f9(c39,f26(f28(c47,c37),X1)),f30(f32(c45,c37),X1)))
    | p4(f5(f26(f28(c46,c37),X1),X2),f5(f9(X1,f26(f28(c46,c37),X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ~ p4(f5(X1,f7(c38,X1)),f5(f9(c39,X1),f7(c38,X1))),
    inference(fof_simplification,[status(thm)],[not_p4_40]) ).

cnf(c_0_17,negated_conjecture,
    ( p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
    | p4(f5(f26(f28(c46,c37),c39),X2),f5(f9(c39,f26(f28(c46,c37),c39)),X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10])]) ).

cnf(c_0_18,negated_conjecture,
    ~ p4(f5(X1,f7(c38,X1)),f5(f9(c39,X1),f7(c38,X1))),
    c_0_16 ).

cnf(c_0_19,negated_conjecture,
    p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1)),
    inference(ef,[status(thm)],[c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_18,c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN687-1 : TPTP v8.2.0. Released v2.5.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n016.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 14:08:23 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/0.87  # Version: 3.1.0
% 2.96/0.87  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.96/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.96/0.87  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.96/0.87  # Starting new_bool_3 with 300s (1) cores
% 2.96/0.87  # Starting new_bool_1 with 300s (1) cores
% 2.96/0.87  # Starting sh5l with 300s (1) cores
% 2.96/0.87  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8306 completed with status 0
% 2.96/0.87  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.96/0.87  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.96/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.96/0.87  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.96/0.87  # No SInE strategy applied
% 2.96/0.87  # Search class: FGUNM-FFMF22-MFFFFFNN
% 2.96/0.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.96/0.87  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.96/0.87  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.96/0.87  # Starting new_bool_3 with 136s (1) cores
% 2.96/0.87  # Starting new_bool_1 with 136s (1) cores
% 2.96/0.87  # Starting sh5l with 136s (1) cores
% 2.96/0.87  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8311 completed with status 0
% 2.96/0.87  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.96/0.87  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.96/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.96/0.87  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.96/0.87  # No SInE strategy applied
% 2.96/0.87  # Search class: FGUNM-FFMF22-MFFFFFNN
% 2.96/0.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.96/0.87  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.96/0.87  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.96/0.87  # Preprocessing time       : 0.004 s
% 2.96/0.87  # Presaturation interreduction done
% 2.96/0.87  
% 2.96/0.87  # Proof found!
% 2.96/0.87  # SZS status Unsatisfiable
% 2.96/0.87  # SZS output start CNFRefutation
% See solution above
% 2.96/0.87  # Parsed axioms                        : 60
% 2.96/0.87  # Removed by relevancy pruning/SinE    : 0
% 2.96/0.87  # Initial clauses                      : 60
% 2.96/0.87  # Removed in clause preprocessing      : 0
% 2.96/0.87  # Initial clauses in saturation        : 60
% 2.96/0.87  # Processed clauses                    : 1610
% 2.96/0.87  # ...of these trivial                  : 0
% 2.96/0.87  # ...subsumed                          : 555
% 2.96/0.87  # ...remaining for further processing  : 1055
% 2.96/0.87  # Other redundant clauses eliminated   : 0
% 2.96/0.87  # Clauses deleted for lack of memory   : 0
% 2.96/0.87  # Backward-subsumed                    : 19
% 2.96/0.87  # Backward-rewritten                   : 0
% 2.96/0.87  # Generated clauses                    : 3762
% 2.96/0.87  # ...of the previous two non-redundant : 3709
% 2.96/0.87  # ...aggressively subsumed             : 0
% 2.96/0.87  # Contextual simplify-reflections      : 0
% 2.96/0.87  # Paramodulations                      : 3760
% 2.96/0.87  # Factorizations                       : 2
% 2.96/0.87  # NegExts                              : 0
% 2.96/0.87  # Equation resolutions                 : 0
% 2.96/0.87  # Disequality decompositions           : 0
% 2.96/0.87  # Total rewrite steps                  : 335
% 2.96/0.87  # ...of those cached                   : 294
% 2.96/0.87  # Propositional unsat checks           : 0
% 2.96/0.87  #    Propositional check models        : 0
% 2.96/0.87  #    Propositional check unsatisfiable : 0
% 2.96/0.87  #    Propositional clauses             : 0
% 2.96/0.87  #    Propositional clauses after purity: 0
% 2.96/0.87  #    Propositional unsat core size     : 0
% 2.96/0.87  #    Propositional preprocessing time  : 0.000
% 2.96/0.87  #    Propositional encoding time       : 0.000
% 2.96/0.87  #    Propositional solver time         : 0.000
% 2.96/0.87  #    Success case prop preproc time    : 0.000
% 2.96/0.87  #    Success case prop encoding time   : 0.000
% 2.96/0.87  #    Success case prop solver time     : 0.000
% 2.96/0.87  # Current number of processed clauses  : 976
% 2.96/0.87  #    Positive orientable unit clauses  : 20
% 2.96/0.87  #    Positive unorientable unit clauses: 0
% 2.96/0.87  #    Negative unit clauses             : 3
% 2.96/0.87  #    Non-unit-clauses                  : 953
% 2.96/0.87  # Current number of unprocessed clauses: 2155
% 2.96/0.87  # ...number of literals in the above   : 12701
% 2.96/0.87  # Current number of archived formulas  : 0
% 2.96/0.87  # Current number of archived clauses   : 79
% 2.96/0.87  # Clause-clause subsumption calls (NU) : 796468
% 2.96/0.87  # Rec. Clause-clause subsumption calls : 184743
% 2.96/0.87  # Non-unit clause-clause subsumptions  : 550
% 2.96/0.87  # Unit Clause-clause subsumption calls : 36
% 2.96/0.87  # Rewrite failures with RHS unbound    : 0
% 2.96/0.87  # BW rewrite match attempts            : 7
% 2.96/0.87  # BW rewrite match successes           : 2
% 2.96/0.87  # Condensation attempts                : 0
% 2.96/0.87  # Condensation successes               : 0
% 2.96/0.87  # Termbank termtop insertions          : 112359
% 2.96/0.87  # Search garbage collected termcells   : 219
% 2.96/0.87  
% 2.96/0.87  # -------------------------------------------------
% 2.96/0.87  # User time                : 0.337 s
% 2.96/0.87  # System time              : 0.010 s
% 2.96/0.87  # Total time               : 0.347 s
% 2.96/0.87  # Maximum resident set size: 1768 pages
% 2.96/0.87  
% 2.96/0.87  # -------------------------------------------------
% 2.96/0.87  # User time                : 1.685 s
% 2.96/0.87  # System time              : 0.027 s
% 2.96/0.87  # Total time               : 1.711 s
% 2.96/0.87  # Maximum resident set size: 1764 pages
% 2.96/0.87  % E---3.1 exiting
% 2.96/0.87  % E exiting
%------------------------------------------------------------------------------