TSTP Solution File: SWC271-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC271-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 04:25:08 EDT 2024

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (  24 unt;   3 nHn;  27 RR)
%            Number of literals    :   89 (   9 equ;  52 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(clause164,axiom,
    ( totalorderedP(X1)
    | app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause164) ).

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

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

cnf(co1_8,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

cnf(clause103,axiom,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).

cnf(clause30,axiom,
    ssItem(skaf65(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).

cnf(clause31,axiom,
    ssItem(skaf64(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).

cnf(clause27,axiom,
    ssList(skaf68(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).

cnf(clause28,axiom,
    ssList(skaf67(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).

cnf(clause29,axiom,
    ssList(skaf66(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).

cnf(clause91,axiom,
    ( totalorderedP(X1)
    | ~ leq(skaf64(X1),skaf65(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).

cnf(c_0_13,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_14,plain,
    ( totalorderedP(X1)
    | app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_15,negated_conjecture,
    ~ totalorderedP(sk1),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_16,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_13 ).

cnf(c_0_17,plain,
    ( totalorderedP(X1)
    | app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
    | ~ ssList(X1) ),
    c_0_14 ).

cnf(c_0_18,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_19,negated_conjecture,
    ~ totalorderedP(sk1),
    c_0_15 ).

cnf(c_0_20,negated_conjecture,
    strictorderedP(sk3),
    co1_8 ).

cnf(c_0_21,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_22,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_23,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_16]) ).

cnf(c_0_24,negated_conjecture,
    app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_25,axiom,
    ssItem(skaf65(X1)),
    clause30 ).

cnf(c_0_26,axiom,
    ssItem(skaf64(X1)),
    clause31 ).

cnf(c_0_27,axiom,
    ssList(skaf68(X1)),
    clause27 ).

cnf(c_0_28,axiom,
    ssList(skaf67(X1)),
    clause28 ).

cnf(c_0_29,axiom,
    ssList(skaf66(X1)),
    clause29 ).

cnf(c_0_30,negated_conjecture,
    strictorderedP(sk1),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_31,plain,
    ( totalorderedP(X1)
    | ~ leq(skaf64(X1),skaf65(X1))
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_32,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    c_0_22 ).

cnf(c_0_33,negated_conjecture,
    lt(skaf64(sk1),skaf65(sk1)),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_18]),c_0_27]),c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_34,plain,
    ( totalorderedP(X1)
    | ~ leq(skaf64(X1),skaf65(X1))
    | ~ ssList(X1) ),
    c_0_31 ).

cnf(c_0_35,negated_conjecture,
    leq(skaf64(sk1),skaf65(sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]),c_0_26])]) ).

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_34,c_0_35]),c_0_18])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC271-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:16:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 0.18/0.49  # Version: 3.1.0
% 0.18/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13642 completed with status 0
% 0.18/0.49  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49  # No SInE strategy applied
% 0.18/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.49  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.18/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.18/0.49  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.18/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.18/0.49  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 13653 completed with status 0
% 0.18/0.49  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.18/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49  # No SInE strategy applied
% 0.18/0.49  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.49  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.18/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.18/0.49  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.18/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.18/0.49  # Preprocessing time       : 0.002 s
% 0.18/0.49  
% 0.18/0.49  # Proof found!
% 0.18/0.49  # SZS status Unsatisfiable
% 0.18/0.49  # SZS output start CNFRefutation
% See solution above
% 0.18/0.49  # Parsed axioms                        : 195
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.49  # Initial clauses                      : 195
% 0.18/0.49  # Removed in clause preprocessing      : 0
% 0.18/0.49  # Initial clauses in saturation        : 195
% 0.18/0.49  # Processed clauses                    : 248
% 0.18/0.49  # ...of these trivial                  : 4
% 0.18/0.49  # ...subsumed                          : 7
% 0.18/0.49  # ...remaining for further processing  : 237
% 0.18/0.49  # Other redundant clauses eliminated   : 24
% 0.18/0.49  # Clauses deleted for lack of memory   : 0
% 0.18/0.49  # Backward-subsumed                    : 0
% 0.18/0.49  # Backward-rewritten                   : 0
% 0.18/0.49  # Generated clauses                    : 1454
% 0.18/0.49  # ...of the previous two non-redundant : 1430
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 2
% 0.18/0.49  # Paramodulations                      : 1431
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 24
% 0.18/0.49  # Disequality decompositions           : 0
% 0.18/0.49  # Total rewrite steps                  : 150
% 0.18/0.49  # ...of those cached                   : 129
% 0.18/0.49  # Propositional unsat checks           : 0
% 0.18/0.49  #    Propositional check models        : 0
% 0.18/0.49  #    Propositional check unsatisfiable : 0
% 0.18/0.49  #    Propositional clauses             : 0
% 0.18/0.49  #    Propositional clauses after purity: 0
% 0.18/0.49  #    Propositional unsat core size     : 0
% 0.18/0.49  #    Propositional preprocessing time  : 0.000
% 0.18/0.49  #    Propositional encoding time       : 0.000
% 0.18/0.49  #    Propositional solver time         : 0.000
% 0.18/0.49  #    Success case prop preproc time    : 0.000
% 0.18/0.49  #    Success case prop encoding time   : 0.000
% 0.18/0.49  #    Success case prop solver time     : 0.000
% 0.18/0.49  # Current number of processed clauses  : 214
% 0.18/0.49  #    Positive orientable unit clauses  : 75
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 4
% 0.18/0.49  #    Non-unit-clauses                  : 135
% 0.18/0.49  # Current number of unprocessed clauses: 1374
% 0.18/0.49  # ...number of literals in the above   : 2958
% 0.18/0.49  # Current number of archived formulas  : 0
% 0.18/0.49  # Current number of archived clauses   : 0
% 0.18/0.49  # Clause-clause subsumption calls (NU) : 6264
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 810
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 8
% 0.18/0.49  # Unit Clause-clause subsumption calls : 125
% 0.18/0.49  # Rewrite failures with RHS unbound    : 0
% 0.18/0.49  # BW rewrite match attempts            : 1
% 0.18/0.49  # BW rewrite match successes           : 0
% 0.18/0.49  # Condensation attempts                : 0
% 0.18/0.49  # Condensation successes               : 0
% 0.18/0.49  # Termbank termtop insertions          : 23673
% 0.18/0.49  # Search garbage collected termcells   : 540
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.024 s
% 0.18/0.49  # System time              : 0.007 s
% 0.18/0.49  # Total time               : 0.031 s
% 0.18/0.49  # Maximum resident set size: 2144 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.126 s
% 0.18/0.49  # System time              : 0.019 s
% 0.18/0.49  # Total time               : 0.145 s
% 0.18/0.49  # Maximum resident set size: 1872 pages
% 0.18/0.49  % E---3.1 exiting
% 0.18/0.49  % E exiting
%------------------------------------------------------------------------------