TSTP Solution File: SWC181-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC181-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 04:24:08 EDT 2024

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  20 unt;   6 nHn;  25 RR)
%            Number of literals    :   88 (   8 equ;  55 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_13,negated_conjecture,
    ~ duplicatefreeP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(clause181,axiom,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(clause63,axiom,
    ( ~ lt(X1,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause63) ).

cnf(clause162,axiom,
    ( duplicatefreeP(X1)
    | app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause162) ).

cnf(clause18,axiom,
    ssList(skaf77(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause18) ).

cnf(clause19,axiom,
    ssList(skaf76(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause19) ).

cnf(clause20,axiom,
    ssList(skaf75(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause20) ).

cnf(co1_10,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_0_11,negated_conjecture,
    ~ duplicatefreeP(sk1),
    inference(fof_simplification,[status(thm)],[co1_13]) ).

cnf(c_0_12,plain,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_13,negated_conjecture,
    ~ duplicatefreeP(sk1),
    c_0_11 ).

cnf(c_0_14,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_15,plain,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_16,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_17,plain,
    ( lt(X2,X4)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ strictorderedP(X6)
    | ~ ssList(X6) ),
    c_0_12 ).

cnf(c_0_18,negated_conjecture,
    ~ duplicatefreeP(sk3),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    c_0_15 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_21,plain,
    ( ~ lt(X1,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_22,plain,
    ( lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
    inference(er,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,plain,
    ( duplicatefreeP(X1)
    | app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_25,plain,
    ( ~ lt(X1,X1)
    | ~ ssItem(X1) ),
    c_0_21 ).

cnf(c_0_26,plain,
    ( lt(X1,X2)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23])]) ).

cnf(c_0_27,plain,
    ( duplicatefreeP(X1)
    | app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
    | ~ ssList(X1) ),
    c_0_24 ).

cnf(c_0_28,axiom,
    ssList(skaf77(X1)),
    clause18 ).

cnf(c_0_29,axiom,
    ssList(skaf76(X1)),
    clause19 ).

cnf(c_0_30,axiom,
    ssList(skaf75(X1)),
    clause20 ).

cnf(c_0_31,plain,
    ~ lt(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23])]) ).

cnf(c_0_32,plain,
    ( duplicatefreeP(X1)
    | ~ ssList(X1)
    | ~ strictorderedP(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    strictorderedP(sk3),
    co1_10 ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_32]),c_0_20]),c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC181-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 03:09:37 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.23/0.48  Running first-order theorem proving
% 0.23/0.48  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
% 0.23/0.54  # Version: 3.1.0
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # sh5l with pid 20552 completed with status 0
% 0.23/0.54  # Result found by sh5l
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.54  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.23/0.54  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.23/0.54  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 20558 completed with status 0
% 0.23/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.54  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.23/0.54  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.23/0.54  # Preprocessing time       : 0.003 s
% 0.23/0.54  # Presaturation interreduction done
% 0.23/0.54  
% 0.23/0.54  # Proof found!
% 0.23/0.54  # SZS status Unsatisfiable
% 0.23/0.54  # SZS output start CNFRefutation
% See solution above
% 0.23/0.55  # Parsed axioms                        : 199
% 0.23/0.55  # Removed by relevancy pruning/SinE    : 25
% 0.23/0.55  # Initial clauses                      : 174
% 0.23/0.55  # Removed in clause preprocessing      : 0
% 0.23/0.55  # Initial clauses in saturation        : 174
% 0.23/0.55  # Processed clauses                    : 678
% 0.23/0.55  # ...of these trivial                  : 5
% 0.23/0.55  # ...subsumed                          : 120
% 0.23/0.55  # ...remaining for further processing  : 553
% 0.23/0.55  # Other redundant clauses eliminated   : 39
% 0.23/0.55  # Clauses deleted for lack of memory   : 0
% 0.23/0.55  # Backward-subsumed                    : 29
% 0.23/0.55  # Backward-rewritten                   : 43
% 0.23/0.55  # Generated clauses                    : 1031
% 0.23/0.55  # ...of the previous two non-redundant : 886
% 0.23/0.55  # ...aggressively subsumed             : 0
% 0.23/0.55  # Contextual simplify-reflections      : 17
% 0.23/0.55  # Paramodulations                      : 987
% 0.23/0.55  # Factorizations                       : 0
% 0.23/0.55  # NegExts                              : 0
% 0.23/0.55  # Equation resolutions                 : 45
% 0.23/0.55  # Disequality decompositions           : 0
% 0.23/0.55  # Total rewrite steps                  : 996
% 0.23/0.55  # ...of those cached                   : 910
% 0.23/0.55  # Propositional unsat checks           : 0
% 0.23/0.55  #    Propositional check models        : 0
% 0.23/0.55  #    Propositional check unsatisfiable : 0
% 0.23/0.55  #    Propositional clauses             : 0
% 0.23/0.55  #    Propositional clauses after purity: 0
% 0.23/0.55  #    Propositional unsat core size     : 0
% 0.23/0.55  #    Propositional preprocessing time  : 0.000
% 0.23/0.55  #    Propositional encoding time       : 0.000
% 0.23/0.55  #    Propositional solver time         : 0.000
% 0.23/0.55  #    Success case prop preproc time    : 0.000
% 0.23/0.55  #    Success case prop encoding time   : 0.000
% 0.23/0.55  #    Success case prop solver time     : 0.000
% 0.23/0.55  # Current number of processed clauses  : 296
% 0.23/0.55  #    Positive orientable unit clauses  : 76
% 0.23/0.55  #    Positive unorientable unit clauses: 0
% 0.23/0.55  #    Negative unit clauses             : 7
% 0.23/0.55  #    Non-unit-clauses                  : 213
% 0.23/0.55  # Current number of unprocessed clauses: 527
% 0.23/0.55  # ...number of literals in the above   : 2306
% 0.23/0.55  # Current number of archived formulas  : 0
% 0.23/0.55  # Current number of archived clauses   : 238
% 0.23/0.55  # Clause-clause subsumption calls (NU) : 14289
% 0.23/0.55  # Rec. Clause-clause subsumption calls : 4728
% 0.23/0.55  # Non-unit clause-clause subsumptions  : 148
% 0.23/0.55  # Unit Clause-clause subsumption calls : 186
% 0.23/0.55  # Rewrite failures with RHS unbound    : 0
% 0.23/0.55  # BW rewrite match attempts            : 26
% 0.23/0.55  # BW rewrite match successes           : 22
% 0.23/0.55  # Condensation attempts                : 0
% 0.23/0.55  # Condensation successes               : 0
% 0.23/0.55  # Termbank termtop insertions          : 25341
% 0.23/0.55  # Search garbage collected termcells   : 605
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.049 s
% 0.23/0.55  # System time              : 0.008 s
% 0.23/0.55  # Total time               : 0.057 s
% 0.23/0.55  # Maximum resident set size: 2232 pages
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.051 s
% 0.23/0.55  # System time              : 0.010 s
% 0.23/0.55  # Total time               : 0.061 s
% 0.23/0.55  # Maximum resident set size: 1876 pages
% 0.23/0.55  % E---3.1 exiting
% 0.23/0.55  % E exiting
%------------------------------------------------------------------------------