TSTP Solution File: SWC025-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC025-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 04:22:40 EDT 2024

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   44 (  17 unt;   9 nHn;  40 RR)
%            Number of literals    :   91 (  32 equ;  47 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   :   29 (   4 sgn)

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

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(co1_8,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).

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

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

cnf(co1_10,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

cnf(co1_13,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(co1_9,negated_conjecture,
    ( memberP(sk3,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(c_0_13,plain,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_14,plain,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    c_0_13 ).

cnf(c_0_15,plain,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_16,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_17,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    c_0_15 ).

cnf(c_0_19,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_20,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_22,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_23,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk3,X1) ),
    c_0_16 ).

cnf(c_0_24,plain,
    ( nil = X1
    | memberP(X1,skaf83(X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    co1_10 ).

cnf(c_0_27,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_28,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_29,negated_conjecture,
    ( sk3 = nil
    | memberP(sk4,skaf83(sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]),c_0_25])]) ).

cnf(c_0_30,negated_conjecture,
    ( sk4 = nil
    | sk3 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22]),c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    inference(fof_simplification,[status(thm)],[co1_13]) ).

cnf(c_0_32,negated_conjecture,
    ( memberP(sk3,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk4,X1) ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_33,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_28 ).

cnf(c_0_34,negated_conjecture,
    ( sk3 = nil
    | memberP(nil,skaf83(sk3)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    c_0_31 ).

cnf(c_0_36,negated_conjecture,
    ( memberP(sk3,X1)
    | ~ ssItem(X1)
    | ~ memberP(sk4,X1) ),
    c_0_32 ).

cnf(c_0_37,negated_conjecture,
    sk3 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19])]) ).

cnf(c_0_38,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_39,negated_conjecture,
    ( sk3 != nil
    | sk4 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_22]),c_0_27]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ memberP(sk4,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_38,c_0_27]) ).

cnf(c_0_42,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_37])]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_19]),c_0_41])]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC025-1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n011.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 02:59:22 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 0.17/0.48  # Version: 3.1.0
% 0.17/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5600 completed with status 0
% 0.17/0.48  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.48  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.48  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.17/0.48  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.17/0.48  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.17/0.48  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 5607 completed with status 0
% 0.17/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.17/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.17/0.48  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.003 s
% 0.17/0.48  # Presaturation interreduction done
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Unsatisfiable
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 198
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.48  # Initial clauses                      : 198
% 0.17/0.48  # Removed in clause preprocessing      : 2
% 0.17/0.48  # Initial clauses in saturation        : 196
% 0.17/0.48  # Processed clauses                    : 427
% 0.17/0.48  # ...of these trivial                  : 2
% 0.17/0.48  # ...subsumed                          : 27
% 0.17/0.48  # ...remaining for further processing  : 398
% 0.17/0.48  # Other redundant clauses eliminated   : 44
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 1
% 0.17/0.48  # Backward-rewritten                   : 13
% 0.17/0.48  # Generated clauses                    : 253
% 0.17/0.48  # ...of the previous two non-redundant : 207
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 5
% 0.17/0.48  # Paramodulations                      : 204
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 49
% 0.17/0.48  # Disequality decompositions           : 0
% 0.17/0.48  # Total rewrite steps                  : 226
% 0.17/0.48  # ...of those cached                   : 205
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 172
% 0.17/0.48  #    Positive orientable unit clauses  : 60
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 3
% 0.17/0.48  #    Non-unit-clauses                  : 109
% 0.17/0.48  # Current number of unprocessed clauses: 164
% 0.17/0.48  # ...number of literals in the above   : 741
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 203
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 9304
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 1362
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 31
% 0.17/0.48  # Unit Clause-clause subsumption calls : 20
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 1
% 0.17/0.48  # BW rewrite match successes           : 1
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 12644
% 0.17/0.48  # Search garbage collected termcells   : 538
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.026 s
% 0.17/0.48  # System time              : 0.006 s
% 0.17/0.48  # Total time               : 0.032 s
% 0.17/0.48  # Maximum resident set size: 2144 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.123 s
% 0.17/0.48  # System time              : 0.018 s
% 0.17/0.48  # Total time               : 0.142 s
% 0.17/0.48  # Maximum resident set size: 1876 pages
% 0.17/0.48  % E---3.1 exiting
% 0.17/0.48  % E exiting
%------------------------------------------------------------------------------