TSTP Solution File: SWC175-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC175-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 04:24:05 EDT 2024

% Result   : Unsatisfiable 0.70s 0.56s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   53 (  28 unt;   3 nHn;  53 RR)
%            Number of literals    :  127 (  23 equ;  77 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_16,negated_conjecture,
    ~ neq(sk6,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(clause102,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).

cnf(co1_15,negated_conjecture,
    app(app(app(sk8,cons(sk6,nil)),cons(sk7,nil)),sk9) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

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

cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).

cnf(co1_11,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_12,negated_conjecture,
    ssItem(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(co1_14,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(co1_13,negated_conjecture,
    ssList(sk8),
    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(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).

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(co1_9,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_0_17,negated_conjecture,
    ~ neq(sk6,sk7),
    inference(fof_simplification,[status(thm)],[co1_16]) ).

cnf(c_0_18,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_19,negated_conjecture,
    app(app(app(sk8,cons(sk6,nil)),cons(sk7,nil)),sk9) = sk1,
    co1_15 ).

cnf(c_0_20,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_21,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_22,negated_conjecture,
    ~ neq(sk6,sk7),
    c_0_17 ).

cnf(c_0_23,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    c_0_18 ).

cnf(c_0_24,negated_conjecture,
    ssItem(sk6),
    co1_11 ).

cnf(c_0_25,negated_conjecture,
    ssItem(sk7),
    co1_12 ).

cnf(c_0_26,negated_conjecture,
    app(app(app(sk8,cons(sk6,nil)),cons(sk7,nil)),sk9) = sk3,
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_21 ).

cnf(c_0_28,negated_conjecture,
    sk7 = sk6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    ssList(sk9),
    co1_14 ).

cnf(c_0_30,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_31,negated_conjecture,
    ( app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9)) = sk3
    | ~ ssList(app(sk8,cons(sk6,nil)))
    | ~ ssList(cons(sk6,nil)) ),
    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_28]),c_0_29])]) ).

cnf(c_0_32,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_30 ).

cnf(c_0_33,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_34,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_35,negated_conjecture,
    ( app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9)) = sk3
    | ~ ssList(app(sk8,cons(sk6,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24]),c_0_33])]) ).

cnf(c_0_36,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_34 ).

cnf(c_0_37,negated_conjecture,
    ssList(sk8),
    co1_13 ).

cnf(c_0_38,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_39,negated_conjecture,
    ( app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9)) = sk3
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_40,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_41,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_38 ).

cnf(c_0_42,negated_conjecture,
    app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_32]),c_0_24]),c_0_33])]) ).

cnf(c_0_43,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_40 ).

cnf(c_0_44,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_45,plain,
    ( ~ lt(X1,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_46,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_41]) ).

cnf(c_0_47,negated_conjecture,
    app(app(sk8,cons(sk6,nil)),cons(sk6,sk9)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_24]),c_0_29])]) ).

cnf(c_0_48,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_44,c_0_20]) ).

cnf(c_0_49,negated_conjecture,
    strictorderedP(sk3),
    co1_9 ).

cnf(c_0_50,plain,
    ( ~ lt(X1,X1)
    | ~ ssItem(X1) ),
    c_0_45 ).

cnf(c_0_51,negated_conjecture,
    lt(sk6,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_24]),c_0_48]),c_0_29]),c_0_33]),c_0_37]),c_0_49])]) ).

cnf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC175-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:29:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 0.70/0.56  # Version: 3.1.0
% 0.70/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.70/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.70/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.70/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.70/0.56  # Starting sh5l with 300s (1) cores
% 0.70/0.56  # sh5l with pid 7784 completed with status 0
% 0.70/0.56  # Result found by sh5l
% 0.70/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.70/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.70/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.70/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.70/0.56  # Starting sh5l with 300s (1) cores
% 0.70/0.56  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.70/0.56  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.70/0.56  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.70/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.70/0.56  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 7792 completed with status 0
% 0.70/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.70/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.70/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.70/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.70/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.70/0.56  # Starting sh5l with 300s (1) cores
% 0.70/0.56  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.70/0.56  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.70/0.56  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.70/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.70/0.56  # Preprocessing time       : 0.003 s
% 0.70/0.56  # Presaturation interreduction done
% 0.70/0.56  
% 0.70/0.56  # Proof found!
% 0.70/0.56  # SZS status Unsatisfiable
% 0.70/0.56  # SZS output start CNFRefutation
% See solution above
% 0.70/0.56  # Parsed axioms                        : 202
% 0.70/0.56  # Removed by relevancy pruning/SinE    : 30
% 0.70/0.56  # Initial clauses                      : 172
% 0.70/0.56  # Removed in clause preprocessing      : 0
% 0.70/0.56  # Initial clauses in saturation        : 172
% 0.70/0.56  # Processed clauses                    : 590
% 0.70/0.56  # ...of these trivial                  : 6
% 0.70/0.56  # ...subsumed                          : 62
% 0.70/0.56  # ...remaining for further processing  : 522
% 0.70/0.56  # Other redundant clauses eliminated   : 32
% 0.70/0.56  # Clauses deleted for lack of memory   : 0
% 0.70/0.56  # Backward-subsumed                    : 14
% 0.70/0.56  # Backward-rewritten                   : 32
% 0.70/0.56  # Generated clauses                    : 881
% 0.70/0.56  # ...of the previous two non-redundant : 763
% 0.70/0.56  # ...aggressively subsumed             : 0
% 0.70/0.56  # Contextual simplify-reflections      : 21
% 0.70/0.56  # Paramodulations                      : 845
% 0.70/0.56  # Factorizations                       : 0
% 0.70/0.56  # NegExts                              : 0
% 0.70/0.56  # Equation resolutions                 : 37
% 0.70/0.56  # Disequality decompositions           : 0
% 0.70/0.56  # Total rewrite steps                  : 917
% 0.70/0.56  # ...of those cached                   : 868
% 0.70/0.56  # Propositional unsat checks           : 0
% 0.70/0.56  #    Propositional check models        : 0
% 0.70/0.56  #    Propositional check unsatisfiable : 0
% 0.70/0.56  #    Propositional clauses             : 0
% 0.70/0.56  #    Propositional clauses after purity: 0
% 0.70/0.56  #    Propositional unsat core size     : 0
% 0.70/0.56  #    Propositional preprocessing time  : 0.000
% 0.70/0.56  #    Propositional encoding time       : 0.000
% 0.70/0.56  #    Propositional solver time         : 0.000
% 0.70/0.56  #    Success case prop preproc time    : 0.000
% 0.70/0.56  #    Success case prop encoding time   : 0.000
% 0.70/0.56  #    Success case prop solver time     : 0.000
% 0.70/0.56  # Current number of processed clauses  : 292
% 0.70/0.56  #    Positive orientable unit clauses  : 82
% 0.70/0.56  #    Positive unorientable unit clauses: 0
% 0.70/0.56  #    Negative unit clauses             : 1
% 0.70/0.56  #    Non-unit-clauses                  : 209
% 0.70/0.56  # Current number of unprocessed clauses: 503
% 0.70/0.56  # ...number of literals in the above   : 2329
% 0.70/0.56  # Current number of archived formulas  : 0
% 0.70/0.56  # Current number of archived clauses   : 210
% 0.70/0.56  # Clause-clause subsumption calls (NU) : 15150
% 0.70/0.56  # Rec. Clause-clause subsumption calls : 5162
% 0.70/0.56  # Non-unit clause-clause subsumptions  : 97
% 0.70/0.56  # Unit Clause-clause subsumption calls : 450
% 0.70/0.56  # Rewrite failures with RHS unbound    : 0
% 0.70/0.56  # BW rewrite match attempts            : 21
% 0.70/0.56  # BW rewrite match successes           : 18
% 0.70/0.56  # Condensation attempts                : 0
% 0.70/0.56  # Condensation successes               : 0
% 0.70/0.56  # Termbank termtop insertions          : 24567
% 0.70/0.56  # Search garbage collected termcells   : 619
% 0.70/0.56  
% 0.70/0.56  # -------------------------------------------------
% 0.70/0.56  # User time                : 0.053 s
% 0.70/0.56  # System time              : 0.006 s
% 0.70/0.56  # Total time               : 0.059 s
% 0.70/0.56  # Maximum resident set size: 2236 pages
% 0.70/0.56  
% 0.70/0.56  # -------------------------------------------------
% 0.70/0.56  # User time                : 0.058 s
% 0.70/0.56  # System time              : 0.007 s
% 0.70/0.56  # Total time               : 0.065 s
% 0.70/0.56  # Maximum resident set size: 1876 pages
% 0.70/0.56  % E---3.1 exiting
% 0.70/0.56  % E exiting
%------------------------------------------------------------------------------