TSTP Solution File: SWC046-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC046-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 04:27:15 EDT 2024

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   37 (  16 unt;  10 nHn;  37 RR)
%            Number of literals    :   81 (  27 equ;  43 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause138,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).

cnf(co1_11,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_6,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    nil = sk2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).

cnf(co1_8,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_7,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_0_11,plain,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_12,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_13,negated_conjecture,
    sk2 = sk4,
    co1_6 ).

cnf(c_0_14,negated_conjecture,
    nil = sk2,
    co1_5 ).

cnf(c_0_15,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_16,plain,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    c_0_11 ).

cnf(c_0_17,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_18,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_19,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_20,negated_conjecture,
    nil != sk1,
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_21,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    c_0_12 ).

cnf(c_0_22,negated_conjecture,
    sk4 = nil,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_23,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_15 ).

cnf(c_0_24,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    c_0_17 ).

cnf(c_0_26,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_18 ).

cnf(c_0_27,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_19 ).

cnf(c_0_28,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_29,negated_conjecture,
    sk1 = sk3,
    co1_7 ).

cnf(c_0_30,negated_conjecture,
    nil != sk1,
    c_0_20 ).

cnf(c_0_31,negated_conjecture,
    ( ~ memberP(sk3,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_32,plain,
    ( nil = X1
    | memberP(X1,hd(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    sk3 != nil,
    inference(rw,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ~ ssItem(hd(sk3)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_33])]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC046-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 02:42:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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/benchmark/theBenchmark.p
% 0.17/0.49  # Version: 3.1.0
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49  # Starting sh5l with 300s (1) cores
% 0.17/0.49  # sh5l with pid 20643 completed with status 0
% 0.17/0.49  # Result found by sh5l
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49  # Starting sh5l with 300s (1) cores
% 0.17/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.49  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.17/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 20648 completed with status 0
% 0.17/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.17/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49  # Starting sh5l with 300s (1) cores
% 0.17/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.49  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.17/0.49  # Preprocessing time       : 0.002 s
% 0.17/0.49  # Presaturation interreduction done
% 0.17/0.49  
% 0.17/0.49  # Proof found!
% 0.17/0.49  # SZS status Unsatisfiable
% 0.17/0.49  # SZS output start CNFRefutation
% See solution above
% 0.17/0.49  # Parsed axioms                        : 197
% 0.17/0.49  # Removed by relevancy pruning/SinE    : 40
% 0.17/0.49  # Initial clauses                      : 157
% 0.17/0.49  # Removed in clause preprocessing      : 0
% 0.17/0.49  # Initial clauses in saturation        : 157
% 0.17/0.49  # Processed clauses                    : 503
% 0.17/0.49  # ...of these trivial                  : 3
% 0.17/0.49  # ...subsumed                          : 139
% 0.17/0.49  # ...remaining for further processing  : 361
% 0.17/0.49  # Other redundant clauses eliminated   : 45
% 0.17/0.49  # Clauses deleted for lack of memory   : 0
% 0.17/0.49  # Backward-subsumed                    : 2
% 0.17/0.49  # Backward-rewritten                   : 2
% 0.17/0.49  # Generated clauses                    : 797
% 0.17/0.49  # ...of the previous two non-redundant : 660
% 0.17/0.49  # ...aggressively subsumed             : 0
% 0.17/0.49  # Contextual simplify-reflections      : 16
% 0.17/0.49  # Paramodulations                      : 748
% 0.17/0.49  # Factorizations                       : 0
% 0.17/0.49  # NegExts                              : 0
% 0.17/0.49  # Equation resolutions                 : 50
% 0.17/0.49  # Disequality decompositions           : 0
% 0.17/0.49  # Total rewrite steps                  : 667
% 0.17/0.49  # ...of those cached                   : 613
% 0.17/0.49  # Propositional unsat checks           : 0
% 0.17/0.49  #    Propositional check models        : 0
% 0.17/0.49  #    Propositional check unsatisfiable : 0
% 0.17/0.49  #    Propositional clauses             : 0
% 0.17/0.49  #    Propositional clauses after purity: 0
% 0.17/0.49  #    Propositional unsat core size     : 0
% 0.17/0.49  #    Propositional preprocessing time  : 0.000
% 0.17/0.49  #    Propositional encoding time       : 0.000
% 0.17/0.49  #    Propositional solver time         : 0.000
% 0.17/0.49  #    Success case prop preproc time    : 0.000
% 0.17/0.49  #    Success case prop encoding time   : 0.000
% 0.17/0.49  #    Success case prop solver time     : 0.000
% 0.17/0.49  # Current number of processed clauses  : 194
% 0.17/0.49  #    Positive orientable unit clauses  : 41
% 0.17/0.49  #    Positive unorientable unit clauses: 0
% 0.17/0.49  #    Negative unit clauses             : 2
% 0.17/0.49  #    Non-unit-clauses                  : 151
% 0.17/0.49  # Current number of unprocessed clauses: 450
% 0.17/0.49  # ...number of literals in the above   : 2628
% 0.17/0.49  # Current number of archived formulas  : 0
% 0.17/0.49  # Current number of archived clauses   : 149
% 0.17/0.49  # Clause-clause subsumption calls (NU) : 10133
% 0.17/0.49  # Rec. Clause-clause subsumption calls : 2008
% 0.17/0.49  # Non-unit clause-clause subsumptions  : 157
% 0.17/0.49  # Unit Clause-clause subsumption calls : 75
% 0.17/0.49  # Rewrite failures with RHS unbound    : 0
% 0.17/0.49  # BW rewrite match attempts            : 2
% 0.17/0.49  # BW rewrite match successes           : 2
% 0.17/0.49  # Condensation attempts                : 0
% 0.17/0.49  # Condensation successes               : 0
% 0.17/0.49  # Termbank termtop insertions          : 22208
% 0.17/0.49  # Search garbage collected termcells   : 640
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.035 s
% 0.17/0.49  # System time              : 0.005 s
% 0.17/0.49  # Total time               : 0.040 s
% 0.17/0.49  # Maximum resident set size: 2196 pages
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.038 s
% 0.17/0.49  # System time              : 0.007 s
% 0.17/0.49  # Total time               : 0.045 s
% 0.17/0.49  # Maximum resident set size: 1872 pages
% 0.17/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------