TSTP Solution File: SWC270-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC270-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:42:19 EDT 2023

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   32 (  23 unt;   2 nHn;  22 RR)
%            Number of literals    :   69 (   7 equ;  37 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   :   35 (  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/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',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/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause164) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',co1_1) ).

cnf(co1_9,negated_conjecture,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',co1_9) ).

cnf(co1_8,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',co1_6) ).

cnf(clause30,axiom,
    ssItem(skaf65(X1)),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause30) ).

cnf(clause31,axiom,
    ssItem(skaf64(X1)),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause31) ).

cnf(clause27,axiom,
    ssList(skaf68(X1)),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause27) ).

cnf(clause28,axiom,
    ssList(skaf67(X1)),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause28) ).

cnf(clause29,axiom,
    ssList(skaf66(X1)),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause29) ).

cnf(clause103,axiom,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause103) ).

cnf(clause91,axiom,
    ( totalorderedP(X1)
    | ~ leq(skaf64(X1),skaf65(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.hBKCWidtzl/E---3.1_31836.p',clause91) ).

cnf(c_0_13,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) ),
    clause181 ).

cnf(c_0_14,axiom,
    ( totalorderedP(X1)
    | app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
    | ~ ssList(X1) ),
    clause164 ).

cnf(c_0_15,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_16,negated_conjecture,
    ~ totalorderedP(sk1),
    co1_9 ).

cnf(c_0_17,negated_conjecture,
    strictorderedP(sk3),
    co1_8 ).

cnf(c_0_18,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_19,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_13]) ).

cnf(c_0_20,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_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,axiom,
    ssItem(skaf65(X1)),
    clause30 ).

cnf(c_0_22,axiom,
    ssItem(skaf64(X1)),
    clause31 ).

cnf(c_0_23,axiom,
    ssList(skaf68(X1)),
    clause27 ).

cnf(c_0_24,axiom,
    ssList(skaf67(X1)),
    clause28 ).

cnf(c_0_25,axiom,
    ssList(skaf66(X1)),
    clause29 ).

cnf(c_0_26,negated_conjecture,
    strictorderedP(sk1),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,axiom,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    clause103 ).

cnf(c_0_28,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_19,c_0_20]),c_0_21]),c_0_22]),c_0_15]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_29,axiom,
    ( totalorderedP(X1)
    | ~ leq(skaf64(X1),skaf65(X1))
    | ~ ssList(X1) ),
    clause91 ).

cnf(c_0_30,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_27,c_0_28]),c_0_21]),c_0_22])]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_15])]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC270-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n021.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   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 02:03:14 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.18/0.45  Running first-order model finding
% 0.18/0.45  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/tmp/tmp.hBKCWidtzl/E---3.1_31836.p
% 0.18/0.49  # Version: 3.1pre001
% 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 31913 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 31923 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       : 0.003 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                        : 194
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.49  # Initial clauses                      : 194
% 0.18/0.49  # Removed in clause preprocessing      : 0
% 0.18/0.49  # Initial clauses in saturation        : 194
% 0.18/0.49  # Processed clauses                    : 246
% 0.18/0.49  # ...of these trivial                  : 4
% 0.18/0.49  # ...subsumed                          : 7
% 0.18/0.49  # ...remaining for further processing  : 235
% 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                    : 1456
% 0.18/0.49  # ...of the previous two non-redundant : 1432
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 2
% 0.18/0.49  # Paramodulations                      : 1433
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 24
% 0.18/0.49  # Total rewrite steps                  : 152
% 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  : 212
% 0.18/0.49  #    Positive orientable unit clauses  : 76
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 4
% 0.18/0.49  #    Non-unit-clauses                  : 132
% 0.18/0.49  # Current number of unprocessed clauses: 1377
% 0.18/0.49  # ...number of literals in the above   : 2969
% 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) : 5986
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 801
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 8
% 0.18/0.49  # Unit Clause-clause subsumption calls : 146
% 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          : 21626
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.021 s
% 0.18/0.49  # System time              : 0.010 s
% 0.18/0.49  # Total time               : 0.031 s
% 0.18/0.49  # Maximum resident set size: 2108 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.122 s
% 0.18/0.49  # System time              : 0.023 s
% 0.18/0.49  # Total time               : 0.145 s
% 0.18/0.49  # Maximum resident set size: 1864 pages
% 0.18/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------