TSTP Solution File: SWC240-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC240-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 04:24:50 EDT 2024

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   39 (  12 unt;   3 nHn;  35 RR)
%            Number of literals    :  102 (  28 equ;  71 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   54 (   4 sgn)

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

cnf(co1_9,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).

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

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

cnf(c_0_12,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_13,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_14,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_12 ).

cnf(c_0_15,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    c_0_13 ).

cnf(c_0_16,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_17,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_18,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != sk1
    | ~ ssItem(sk5(X2,nil,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_19,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    c_0_17 ).

cnf(c_0_20,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_21,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16])]) ).

cnf(c_0_22,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_20 ).

cnf(c_0_23,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_24,negated_conjecture,
    ( app(cons(X1,nil),X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_23 ).

cnf(c_0_26,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_27,negated_conjecture,
    ( cons(X1,X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_26 ).

cnf(c_0_29,plain,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_30,negated_conjecture,
    ( cons(X1,X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16])]) ).

cnf(c_0_31,plain,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    c_0_29 ).

cnf(c_0_32,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_33,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_34,negated_conjecture,
    nil != sk1,
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_35,negated_conjecture,
    ( nil = X1
    | X1 != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).

cnf(c_0_36,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_37,negated_conjecture,
    nil != sk1,
    c_0_34 ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC240-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n016.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 03:43:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  # Version: 3.1.0
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53  # Starting sh5l with 300s (1) cores
% 0.21/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 16569 completed with status 0
% 0.21/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.21/0.53  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.53  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.21/0.53  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.53  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.21/0.53  # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 16577 completed with status 0
% 0.21/0.53  # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.21/0.53  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.53  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.21/0.53  # Preprocessing time       : 0.002 s
% 0.21/0.53  # Presaturation interreduction done
% 0.21/0.53  
% 0.21/0.53  # Proof found!
% 0.21/0.53  # SZS status Unsatisfiable
% 0.21/0.53  # SZS output start CNFRefutation
% See solution above
% 0.21/0.53  # Parsed axioms                        : 199
% 0.21/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.53  # Initial clauses                      : 199
% 0.21/0.53  # Removed in clause preprocessing      : 0
% 0.21/0.53  # Initial clauses in saturation        : 199
% 0.21/0.53  # Processed clauses                    : 590
% 0.21/0.53  # ...of these trivial                  : 2
% 0.21/0.53  # ...subsumed                          : 100
% 0.21/0.53  # ...remaining for further processing  : 488
% 0.21/0.53  # Other redundant clauses eliminated   : 84
% 0.21/0.53  # Clauses deleted for lack of memory   : 0
% 0.21/0.53  # Backward-subsumed                    : 12
% 0.21/0.53  # Backward-rewritten                   : 0
% 0.21/0.53  # Generated clauses                    : 1198
% 0.21/0.53  # ...of the previous two non-redundant : 999
% 0.21/0.53  # ...aggressively subsumed             : 0
% 0.21/0.53  # Contextual simplify-reflections      : 7
% 0.21/0.53  # Paramodulations                      : 1096
% 0.21/0.53  # Factorizations                       : 0
% 0.21/0.53  # NegExts                              : 0
% 0.21/0.53  # Equation resolutions                 : 102
% 0.21/0.53  # Disequality decompositions           : 0
% 0.21/0.53  # Total rewrite steps                  : 840
% 0.21/0.53  # ...of those cached                   : 726
% 0.21/0.53  # Propositional unsat checks           : 0
% 0.21/0.53  #    Propositional check models        : 0
% 0.21/0.53  #    Propositional check unsatisfiable : 0
% 0.21/0.53  #    Propositional clauses             : 0
% 0.21/0.53  #    Propositional clauses after purity: 0
% 0.21/0.53  #    Propositional unsat core size     : 0
% 0.21/0.53  #    Propositional preprocessing time  : 0.000
% 0.21/0.53  #    Propositional encoding time       : 0.000
% 0.21/0.53  #    Propositional solver time         : 0.000
% 0.21/0.53  #    Success case prop preproc time    : 0.000
% 0.21/0.53  #    Success case prop encoding time   : 0.000
% 0.21/0.53  #    Success case prop solver time     : 0.000
% 0.21/0.53  # Current number of processed clauses  : 278
% 0.21/0.53  #    Positive orientable unit clauses  : 57
% 0.21/0.53  #    Positive unorientable unit clauses: 0
% 0.21/0.53  #    Negative unit clauses             : 3
% 0.21/0.53  #    Non-unit-clauses                  : 218
% 0.21/0.53  # Current number of unprocessed clauses: 796
% 0.21/0.53  # ...number of literals in the above   : 5118
% 0.21/0.53  # Current number of archived formulas  : 0
% 0.21/0.53  # Current number of archived clauses   : 205
% 0.21/0.53  # Clause-clause subsumption calls (NU) : 14044
% 0.21/0.53  # Rec. Clause-clause subsumption calls : 2507
% 0.21/0.53  # Non-unit clause-clause subsumptions  : 94
% 0.21/0.53  # Unit Clause-clause subsumption calls : 10
% 0.21/0.53  # Rewrite failures with RHS unbound    : 0
% 0.21/0.53  # BW rewrite match attempts            : 0
% 0.21/0.53  # BW rewrite match successes           : 0
% 0.21/0.53  # Condensation attempts                : 0
% 0.21/0.53  # Condensation successes               : 0
% 0.21/0.53  # Termbank termtop insertions          : 30980
% 0.21/0.53  # Search garbage collected termcells   : 557
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.033 s
% 0.21/0.53  # System time              : 0.004 s
% 0.21/0.53  # Total time               : 0.038 s
% 0.21/0.53  # Maximum resident set size: 2128 pages
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.148 s
% 0.21/0.53  # System time              : 0.021 s
% 0.21/0.53  # Total time               : 0.169 s
% 0.21/0.53  # Maximum resident set size: 1876 pages
% 0.21/0.53  % E---3.1 exiting
% 0.21/0.53  % E exiting
%------------------------------------------------------------------------------