TSTP Solution File: SYN604-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN604-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 07:47:03 EDT 2024

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   42 (  18 unt;   2 nHn;  28 RR)
%            Number of literals    :   81 (   0 equ;  41 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :   68 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p3_21,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).

cnf(p3_4,negated_conjecture,
    p3(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).

cnf(p3_8,negated_conjecture,
    p3(f12(f10(X1)),f10(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

cnf(p3_7,negated_conjecture,
    p3(f4(f8(X1)),f12(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).

cnf(p16_25,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p16(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).

cnf(p16_23,negated_conjecture,
    ( p16(X1,X2)
    | ~ p16(X1,X3)
    | ~ p16(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).

cnf(p16_30,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1)))
    | ~ p16(c19,f4(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_30) ).

cnf(p16_9,negated_conjecture,
    p16(f10(f11(c21)),f12(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_9) ).

cnf(p16_29,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
    | ~ p16(f4(X1),f12(c19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_29) ).

cnf(not_p16_28,negated_conjecture,
    ~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_28) ).

cnf(p16_10,negated_conjecture,
    ( p16(X1,X2)
    | p16(X2,f12(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).

cnf(c_0_11,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p3_21]) ).

cnf(c_0_12,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    c_0_11 ).

cnf(c_0_13,negated_conjecture,
    p3(X1,X1),
    p3_4 ).

cnf(c_0_14,negated_conjecture,
    p3(f12(f10(X1)),f10(X1)),
    p3_8 ).

cnf(c_0_15,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X2,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    p3(f4(f8(X1)),f12(X1)),
    p3_7 ).

cnf(c_0_17,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p16(X3,X4) ),
    inference(fof_simplification,[status(thm)],[p16_25]) ).

cnf(c_0_18,negated_conjecture,
    ( p3(X1,f10(X2))
    | ~ p3(f12(f10(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    p3(f12(X1),f4(f8(X1))),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p16(X1,X2)
    | ~ p16(X1,X3)
    | ~ p16(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p16_23]) ).

cnf(c_0_21,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1)))
    | ~ p16(c19,f4(X1)) ),
    inference(fof_simplification,[status(thm)],[p16_30]) ).

cnf(c_0_22,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p16(X3,X4) ),
    c_0_17 ).

cnf(c_0_23,negated_conjecture,
    p16(f10(f11(c21)),f12(X1)),
    p16_9 ).

cnf(c_0_24,negated_conjecture,
    p3(f4(f8(f10(X1))),f10(X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( p16(X1,X2)
    | ~ p16(X1,X3)
    | ~ p16(X3,X2) ),
    c_0_20 ).

cnf(c_0_26,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1)))
    | ~ p16(c19,f4(X1)) ),
    c_0_21 ).

cnf(c_0_27,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
    | ~ p16(f4(X1),f12(c19)) ),
    inference(fof_simplification,[status(thm)],[p16_29]) ).

cnf(c_0_28,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(f10(f11(c21)),X1)
    | ~ p3(f12(X3),X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    p3(f10(X1),f4(f8(f10(X1)))),
    inference(spm,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
    inference(fof_simplification,[status(thm)],[not_p16_28]) ).

cnf(c_0_31,negated_conjecture,
    ( p16(X1,f4(f6(f7(c20,c18),X2)))
    | ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
    | ~ p16(c19,f4(X2)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
    | ~ p16(f4(X1),f12(c19)) ),
    c_0_27 ).

cnf(c_0_33,negated_conjecture,
    ( p16(f4(f8(f10(f11(c21)))),X1)
    | ~ p3(f12(X2),X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
    c_0_30 ).

cnf(c_0_35,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
    | ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
    | ~ p16(c19,f4(X1)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    p16(f4(f8(f10(f11(c21)))),f12(X1)),
    inference(spm,[status(thm)],[c_0_33,c_0_13]) ).

cnf(c_0_37,negated_conjecture,
    ~ p16(f4(f13(c23)),f12(c19)),
    inference(spm,[status(thm)],[c_0_34,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( p16(X1,X2)
    | p16(X2,f12(X1)) ),
    p16_10 ).

cnf(c_0_39,negated_conjecture,
    ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
    | ~ p16(c19,f4(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).

cnf(c_0_40,negated_conjecture,
    p16(c19,f4(f13(c23))),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN604-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 15:24:52 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.22/0.52  # Version: 3.1.0
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 855 completed with status 0
% 0.22/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52  # No SInE strategy applied
% 0.22/0.52  # Search class: FGUNM-FFMF21-MFFFFFNN
% 0.22/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.52  # Starting sh5l with 136s (1) cores
% 0.22/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 860 completed with status 0
% 0.22/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52  # No SInE strategy applied
% 0.22/0.52  # Search class: FGUNM-FFMF21-MFFFFFNN
% 0.22/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.001 s
% 0.22/0.52  # Presaturation interreduction done
% 0.22/0.52  
% 0.22/0.52  # Proof found!
% 0.22/0.52  # SZS status Unsatisfiable
% 0.22/0.52  # SZS output start CNFRefutation
% See solution above
% 0.22/0.52  # Parsed axioms                        : 30
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.52  # Initial clauses                      : 30
% 0.22/0.52  # Removed in clause preprocessing      : 0
% 0.22/0.52  # Initial clauses in saturation        : 30
% 0.22/0.52  # Processed clauses                    : 237
% 0.22/0.52  # ...of these trivial                  : 2
% 0.22/0.52  # ...subsumed                          : 34
% 0.22/0.52  # ...remaining for further processing  : 201
% 0.22/0.52  # Other redundant clauses eliminated   : 0
% 0.22/0.52  # Clauses deleted for lack of memory   : 0
% 0.22/0.52  # Backward-subsumed                    : 7
% 0.22/0.52  # Backward-rewritten                   : 2
% 0.22/0.52  # Generated clauses                    : 612
% 0.22/0.52  # ...of the previous two non-redundant : 565
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 0
% 0.22/0.52  # Paramodulations                      : 612
% 0.22/0.52  # Factorizations                       : 0
% 0.22/0.52  # NegExts                              : 0
% 0.22/0.52  # Equation resolutions                 : 0
% 0.22/0.52  # Disequality decompositions           : 0
% 0.22/0.52  # Total rewrite steps                  : 54
% 0.22/0.52  # ...of those cached                   : 28
% 0.22/0.52  # Propositional unsat checks           : 0
% 0.22/0.52  #    Propositional check models        : 0
% 0.22/0.52  #    Propositional check unsatisfiable : 0
% 0.22/0.52  #    Propositional clauses             : 0
% 0.22/0.52  #    Propositional clauses after purity: 0
% 0.22/0.52  #    Propositional unsat core size     : 0
% 0.22/0.52  #    Propositional preprocessing time  : 0.000
% 0.22/0.52  #    Propositional encoding time       : 0.000
% 0.22/0.52  #    Propositional solver time         : 0.000
% 0.22/0.52  #    Success case prop preproc time    : 0.000
% 0.22/0.52  #    Success case prop encoding time   : 0.000
% 0.22/0.52  #    Success case prop solver time     : 0.000
% 0.22/0.52  # Current number of processed clauses  : 162
% 0.22/0.52  #    Positive orientable unit clauses  : 22
% 0.22/0.52  #    Positive unorientable unit clauses: 0
% 0.22/0.52  #    Negative unit clauses             : 5
% 0.22/0.52  #    Non-unit-clauses                  : 135
% 0.22/0.52  # Current number of unprocessed clauses: 380
% 0.22/0.52  # ...number of literals in the above   : 1059
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 39
% 0.22/0.52  # Clause-clause subsumption calls (NU) : 2528
% 0.22/0.52  # Rec. Clause-clause subsumption calls : 2324
% 0.22/0.52  # Non-unit clause-clause subsumptions  : 41
% 0.22/0.52  # Unit Clause-clause subsumption calls : 25
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 2
% 0.22/0.52  # BW rewrite match successes           : 2
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 9573
% 0.22/0.52  # Search garbage collected termcells   : 79
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.020 s
% 0.22/0.52  # System time              : 0.002 s
% 0.22/0.52  # Total time               : 0.022 s
% 0.22/0.52  # Maximum resident set size: 1660 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.092 s
% 0.22/0.52  # System time              : 0.010 s
% 0.22/0.52  # Total time               : 0.101 s
% 0.22/0.52  # Maximum resident set size: 1720 pages
% 0.22/0.52  % E---3.1 exiting
% 0.22/0.53  % E exiting
%------------------------------------------------------------------------------