TSTP Solution File: SWC340+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC340+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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  : 600s
% DateTime : Tue Jul 19 20:15:05 EDT 2022

% Result   : Theorem 8.93s 2.64s
% Output   : CNFRefutation 8.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   37 (  14 unt;  13 nHn;  37 RR)
%            Number of literals    :  101 (   8 equ;  54 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_25) ).

cnf(i_0_193,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_195) ).

cnf(i_0_11,plain,
    ( app(app(esk8_1(X1),cons(esk6_1(X1),esk9_1(X1))),cons(esk7_1(X1),esk10_1(X1))) = X1
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_11) ).

cnf(i_0_16,plain,
    ( totalorderedP(X1)
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_16) ).

cnf(i_0_15,plain,
    ( totalorderedP(X1)
    | ssItem(esk7_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_15) ).

cnf(i_0_14,plain,
    ( totalorderedP(X1)
    | ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    ( totalorderedP(X1)
    | ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_13) ).

cnf(i_0_12,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_12) ).

cnf(i_0_191,negated_conjecture,
    ( ~ totalorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_191) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_194) ).

cnf(i_0_178,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_178) ).

cnf(i_0_10,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk6_1(X1),esk7_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_10) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_199) ).

cnf(i_0_192,negated_conjecture,
    strictorderedP(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-54nd4byq/lgb.p',i_0_192) ).

cnf(c_0_215,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_216,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    i_0_193 ).

cnf(c_0_217,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_195 ).

cnf(c_0_218,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_215]) ).

cnf(c_0_219,plain,
    ( app(app(esk8_1(X1),cons(esk6_1(X1),esk9_1(X1))),cons(esk7_1(X1),esk10_1(X1))) = X1
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_11 ).

cnf(c_0_220,plain,
    ( totalorderedP(X1)
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    i_0_16 ).

cnf(c_0_221,plain,
    ( totalorderedP(X1)
    | ssItem(esk7_1(X1))
    | ~ ssList(X1) ),
    i_0_15 ).

cnf(c_0_222,plain,
    ( totalorderedP(X1)
    | ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    i_0_14 ).

cnf(c_0_223,plain,
    ( totalorderedP(X1)
    | ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    i_0_13 ).

cnf(c_0_224,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    i_0_12 ).

cnf(c_0_225,negated_conjecture,
    ( ~ totalorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_226,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_194 ).

cnf(c_0_227,negated_conjecture,
    segmentP(esk49_0,esk50_0),
    inference(rw,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_228,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    i_0_178 ).

cnf(c_0_229,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]),c_0_222]),c_0_223]),c_0_224]) ).

cnf(c_0_230,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk6_1(X1),esk7_1(X1)) ),
    i_0_10 ).

cnf(c_0_231,negated_conjecture,
    ssList(esk48_0),
    i_0_199 ).

cnf(c_0_232,negated_conjecture,
    ~ totalorderedP(esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_226]),c_0_227])]) ).

cnf(c_0_233,plain,
    ( totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_220]),c_0_221]),c_0_230]) ).

cnf(c_0_234,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_192 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_231,c_0_226]) ).

cnf(c_0_236,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC340+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 14:37:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.93/2.64  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.93/2.64  # No SInE strategy applied
% 8.93/2.64  # Trying AutoSched0 for 150 seconds
% 8.93/2.64  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.93/2.64  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.93/2.64  #
% 8.93/2.64  # Preprocessing time       : 0.025 s
% 8.93/2.64  
% 8.93/2.64  # Proof found!
% 8.93/2.64  # SZS status Theorem
% 8.93/2.64  # SZS output start CNFRefutation
% See solution above
% 8.93/2.64  # Training examples: 0 positive, 0 negative
% 8.93/2.64  
% 8.93/2.64  # -------------------------------------------------
% 8.93/2.64  # User time                : 0.033 s
% 8.93/2.64  # System time              : 0.004 s
% 8.93/2.64  # Total time               : 0.037 s
% 8.93/2.64  # Maximum resident set size: 7124 pages
% 8.93/2.64  
%------------------------------------------------------------------------------