TSTP Solution File: SWC400-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC400-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 04:29:30 EDT 2024

% Result   : Unsatisfiable 1.62s 0.65s
% Output   : CNFRefutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   61 (  33 unt;   0 nHn;  55 RR)
%            Number of literals    :  144 (  25 equ;  87 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   73 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).

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

cnf(clause168,axiom,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).

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_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

cnf(co1_7,negated_conjecture,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(clause48,axiom,
    ssList(skaf48(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).

cnf(clause131,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause49,axiom,
    ssList(skaf47(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).

cnf(clause151,axiom,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(clause141,axiom,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).

cnf(co1_10,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(clause140,axiom,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).

cnf(co1_9,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_11,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_0_18,plain,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

cnf(c_0_19,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_20,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

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,
    ssList(sk2),
    co1_2 ).

cnf(c_0_24,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_25,plain,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_18 ).

cnf(c_0_26,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_19 ).

cnf(c_0_27,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_20 ).

cnf(c_0_28,negated_conjecture,
    segmentP(sk4,sk3),
    co1_7 ).

cnf(c_0_29,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_33,axiom,
    ssList(skaf48(X1,X2)),
    clause48 ).

cnf(c_0_34,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_35,negated_conjecture,
    ( rearsegP(sk4,skaf48(sk3,sk4))
    | ~ ssList(app(skaf47(sk4,sk3),sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_36,axiom,
    ssList(skaf47(X1,X2)),
    clause49 ).

cnf(c_0_37,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_38,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_34 ).

cnf(c_0_39,negated_conjecture,
    rearsegP(sk4,skaf48(sk3,sk4)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_36]),c_0_29])]) ).

cnf(c_0_40,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_37 ).

cnf(c_0_41,negated_conjecture,
    app(skaf46(sk4,skaf48(sk3,sk4)),skaf48(sk3,sk4)) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33]),c_0_30])]) ).

cnf(c_0_42,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_43,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_44,negated_conjecture,
    memberP(sk1,sk5),
    co1_10 ).

cnf(c_0_45,negated_conjecture,
    ( skaf46(sk4,skaf48(sk3,sk4)) = X1
    | app(X1,skaf48(sk3,sk4)) != sk4
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33]),c_0_42])]) ).

cnf(c_0_46,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_47,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    c_0_43 ).

cnf(c_0_48,negated_conjecture,
    memberP(sk3,sk5),
    inference(rw,[status(thm)],[c_0_44,c_0_22]) ).

cnf(c_0_49,negated_conjecture,
    ssItem(sk5),
    co1_9 ).

cnf(c_0_50,negated_conjecture,
    ( skaf46(sk4,skaf48(sk3,sk4)) = app(skaf47(sk4,sk3),sk3)
    | ~ ssList(app(skaf47(sk4,sk3),sk3)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_32]) ).

cnf(c_0_51,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    c_0_46 ).

cnf(c_0_52,negated_conjecture,
    ( memberP(app(X1,sk3),sk5)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_29])]) ).

cnf(c_0_53,negated_conjecture,
    skaf46(sk4,skaf48(sk3,sk4)) = app(skaf47(sk4,sk3),sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_26]),c_0_36]),c_0_29])]) ).

cnf(c_0_54,negated_conjecture,
    ~ memberP(sk2,sk5),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_55,negated_conjecture,
    ( memberP(app(app(X1,sk3),X2),sk5)
    | ~ ssList(app(X1,sk3))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_49])]) ).

cnf(c_0_56,negated_conjecture,
    ssList(app(skaf47(sk4,sk3),sk3)),
    inference(spm,[status(thm)],[c_0_42,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    ~ memberP(sk2,sk5),
    c_0_54 ).

cnf(c_0_58,negated_conjecture,
    ( memberP(app(app(skaf47(sk4,sk3),sk3),X1),sk5)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_36])]) ).

cnf(c_0_59,negated_conjecture,
    ~ memberP(sk4,sk5),
    inference(rw,[status(thm)],[c_0_57,c_0_24]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_32]),c_0_33])]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWC400-1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 03:14:07 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 1.62/0.65  # Version: 3.1.0
% 1.62/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.62/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.62/0.65  # Starting new_bool_3 with 300s (1) cores
% 1.62/0.65  # Starting new_bool_1 with 300s (1) cores
% 1.62/0.65  # Starting sh5l with 300s (1) cores
% 1.62/0.65  # sh5l with pid 20409 completed with status 0
% 1.62/0.65  # Result found by sh5l
% 1.62/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.62/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.62/0.65  # Starting new_bool_3 with 300s (1) cores
% 1.62/0.65  # Starting new_bool_1 with 300s (1) cores
% 1.62/0.65  # Starting sh5l with 300s (1) cores
% 1.62/0.65  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.62/0.65  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1.62/0.65  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.62/0.65  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 1.62/0.65  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 20416 completed with status 0
% 1.62/0.65  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 1.62/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.62/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.62/0.65  # Starting new_bool_3 with 300s (1) cores
% 1.62/0.65  # Starting new_bool_1 with 300s (1) cores
% 1.62/0.65  # Starting sh5l with 300s (1) cores
% 1.62/0.65  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.62/0.65  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1.62/0.65  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.62/0.65  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 1.62/0.65  # Preprocessing time       : 0.003 s
% 1.62/0.65  # Presaturation interreduction done
% 1.62/0.65  
% 1.62/0.65  # Proof found!
% 1.62/0.65  # SZS status Unsatisfiable
% 1.62/0.65  # SZS output start CNFRefutation
% See solution above
% 1.62/0.65  # Parsed axioms                        : 196
% 1.62/0.65  # Removed by relevancy pruning/SinE    : 40
% 1.62/0.65  # Initial clauses                      : 156
% 1.62/0.65  # Removed in clause preprocessing      : 0
% 1.62/0.65  # Initial clauses in saturation        : 156
% 1.62/0.65  # Processed clauses                    : 1765
% 1.62/0.65  # ...of these trivial                  : 14
% 1.62/0.65  # ...subsumed                          : 927
% 1.62/0.65  # ...remaining for further processing  : 824
% 1.62/0.65  # Other redundant clauses eliminated   : 57
% 1.62/0.65  # Clauses deleted for lack of memory   : 0
% 1.62/0.65  # Backward-subsumed                    : 72
% 1.62/0.65  # Backward-rewritten                   : 46
% 1.62/0.65  # Generated clauses                    : 4828
% 1.62/0.65  # ...of the previous two non-redundant : 4397
% 1.62/0.65  # ...aggressively subsumed             : 0
% 1.62/0.65  # Contextual simplify-reflections      : 125
% 1.62/0.65  # Paramodulations                      : 4765
% 1.62/0.65  # Factorizations                       : 0
% 1.62/0.65  # NegExts                              : 0
% 1.62/0.65  # Equation resolutions                 : 64
% 1.62/0.65  # Disequality decompositions           : 0
% 1.62/0.65  # Total rewrite steps                  : 4267
% 1.62/0.65  # ...of those cached                   : 4122
% 1.62/0.65  # Propositional unsat checks           : 0
% 1.62/0.65  #    Propositional check models        : 0
% 1.62/0.65  #    Propositional check unsatisfiable : 0
% 1.62/0.65  #    Propositional clauses             : 0
% 1.62/0.65  #    Propositional clauses after purity: 0
% 1.62/0.65  #    Propositional unsat core size     : 0
% 1.62/0.65  #    Propositional preprocessing time  : 0.000
% 1.62/0.65  #    Propositional encoding time       : 0.000
% 1.62/0.65  #    Propositional solver time         : 0.000
% 1.62/0.65  #    Success case prop preproc time    : 0.000
% 1.62/0.65  #    Success case prop encoding time   : 0.000
% 1.62/0.65  #    Success case prop solver time     : 0.000
% 1.62/0.65  # Current number of processed clauses  : 540
% 1.62/0.65  #    Positive orientable unit clauses  : 73
% 1.62/0.65  #    Positive unorientable unit clauses: 0
% 1.62/0.65  #    Negative unit clauses             : 1
% 1.62/0.65  #    Non-unit-clauses                  : 466
% 1.62/0.65  # Current number of unprocessed clauses: 2821
% 1.62/0.65  # ...number of literals in the above   : 15509
% 1.62/0.65  # Current number of archived formulas  : 0
% 1.62/0.65  # Current number of archived clauses   : 266
% 1.62/0.65  # Clause-clause subsumption calls (NU) : 55804
% 1.62/0.65  # Rec. Clause-clause subsumption calls : 18229
% 1.62/0.65  # Non-unit clause-clause subsumptions  : 1108
% 1.62/0.65  # Unit Clause-clause subsumption calls : 725
% 1.62/0.65  # Rewrite failures with RHS unbound    : 0
% 1.62/0.65  # BW rewrite match attempts            : 21
% 1.62/0.65  # BW rewrite match successes           : 15
% 1.62/0.65  # Condensation attempts                : 0
% 1.62/0.65  # Condensation successes               : 0
% 1.62/0.65  # Termbank termtop insertions          : 97760
% 1.62/0.65  # Search garbage collected termcells   : 623
% 1.62/0.65  
% 1.62/0.65  # -------------------------------------------------
% 1.62/0.65  # User time                : 0.176 s
% 1.62/0.65  # System time              : 0.006 s
% 1.62/0.65  # Total time               : 0.182 s
% 1.62/0.65  # Maximum resident set size: 2196 pages
% 1.62/0.65  
% 1.62/0.65  # -------------------------------------------------
% 1.62/0.65  # User time                : 0.181 s
% 1.62/0.65  # System time              : 0.008 s
% 1.62/0.65  # Total time               : 0.188 s
% 1.62/0.65  # Maximum resident set size: 1896 pages
% 1.62/0.65  % E---3.1 exiting
%------------------------------------------------------------------------------