TSTP Solution File: COM023+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 : Fri Jul 15 01:07:02 EDT 2022

% Result   : Theorem 5.08s 2.49s
% Output   : CNFRefutation 5.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   38 (   8 unt;  10 nHn;  38 RR)
%            Number of literals    :  126 (   0 equ;  81 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_61,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_61) ).

cnf(i_0_17,plain,
    ( isConfluent0(X1)
    | sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
    | ~ aRewritingSystem0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_17) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_44) ).

cnf(i_0_336,negated_conjecture,
    ~ isConfluent0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_336) ).

cnf(i_0_71,hypothesis,
    ( aElement0(esk17_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_71) ).

cnf(i_0_18,plain,
    ( isConfluent0(X1)
    | sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
    | ~ aRewritingSystem0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_18) ).

cnf(i_0_66,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_66) ).

cnf(i_0_19,plain,
    ( isConfluent0(X1)
    | aElement0(esk5_1(X1))
    | ~ aRewritingSystem0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_19) ).

cnf(i_0_20,plain,
    ( isConfluent0(X1)
    | aElement0(esk4_1(X1))
    | ~ aRewritingSystem0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_20) ).

cnf(i_0_21,plain,
    ( isConfluent0(X1)
    | aElement0(esk3_1(X1))
    | ~ aRewritingSystem0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_21) ).

cnf(i_0_16,plain,
    ( isConfluent0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X1)
    | ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
    | ~ sdtmndtasgtdt0(esk5_1(X1),X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6ryta4wf/input.p',i_0_16) ).

cnf(c_0_348,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_61 ).

cnf(c_0_349,plain,
    ( isConfluent0(X1)
    | sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
    | ~ aRewritingSystem0(X1) ),
    i_0_17 ).

cnf(c_0_350,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_351,negated_conjecture,
    ~ isConfluent0(xR),
    i_0_336 ).

cnf(c_0_352,hypothesis,
    ( aElement0(esk17_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    i_0_71 ).

cnf(c_0_353,plain,
    ( isConfluent0(X1)
    | sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
    | ~ aRewritingSystem0(X1) ),
    i_0_18 ).

cnf(c_0_354,plain,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(esk3_1(xR),esk5_1(xR),X1))
    | ~ sdtmndtasgtdt0(esk3_1(xR),xR,X1)
    | ~ aElement0(esk5_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350])]),c_0_351]) ).

cnf(c_0_355,plain,
    ( aElement0(esk17_3(esk3_1(xR),X1,esk4_1(xR)))
    | ~ sdtmndtasgtdt0(esk3_1(xR),xR,X1)
    | ~ aElement0(esk4_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_350])]),c_0_351]) ).

cnf(c_0_356,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_66 ).

cnf(c_0_357,plain,
    ( sdtmndtasgtdt0(esk4_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk5_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk4_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_353]),c_0_350])]),c_0_351]) ).

cnf(c_0_358,plain,
    ( isConfluent0(X1)
    | aElement0(esk5_1(X1))
    | ~ aRewritingSystem0(X1) ),
    i_0_19 ).

cnf(c_0_359,plain,
    ( aElement0(esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk4_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_349]),c_0_350])]),c_0_351]) ).

cnf(c_0_360,plain,
    ( isConfluent0(X1)
    | aElement0(esk4_1(X1))
    | ~ aRewritingSystem0(X1) ),
    i_0_20 ).

cnf(c_0_361,plain,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(esk3_1(xR),X1,esk4_1(xR)))
    | ~ sdtmndtasgtdt0(esk3_1(xR),xR,X1)
    | ~ aElement0(esk4_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_353]),c_0_350])]),c_0_351]) ).

cnf(c_0_362,plain,
    ( sdtmndtasgtdt0(esk4_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk4_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_350])]),c_0_351]) ).

cnf(c_0_363,plain,
    ( isConfluent0(X1)
    | aElement0(esk3_1(X1))
    | ~ aRewritingSystem0(X1) ),
    i_0_21 ).

cnf(c_0_364,plain,
    ( aElement0(esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_350])]),c_0_351]) ).

cnf(c_0_365,plain,
    ( sdtmndtasgtdt0(esk5_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk4_1(xR))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_349]),c_0_350])]),c_0_351]) ).

cnf(c_0_366,plain,
    ( sdtmndtasgtdt0(esk4_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk4_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_350])]),c_0_351]) ).

cnf(c_0_367,plain,
    ( aElement0(esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_363]),c_0_350])]),c_0_351]) ).

cnf(c_0_368,plain,
    ( sdtmndtasgtdt0(esk5_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk3_1(xR))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_360]),c_0_350])]),c_0_351]) ).

cnf(c_0_369,plain,
    ( isConfluent0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X1)
    | ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
    | ~ sdtmndtasgtdt0(esk5_1(X1),X1,X2) ),
    i_0_16 ).

cnf(c_0_370,plain,
    sdtmndtasgtdt0(esk4_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_360]),c_0_350])]),c_0_351]) ).

cnf(c_0_371,plain,
    aElement0(esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_358]),c_0_350])]),c_0_351]) ).

cnf(c_0_372,plain,
    ( sdtmndtasgtdt0(esk5_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR)))
    | ~ aElement0(esk5_1(xR)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_363]),c_0_350])]),c_0_351]) ).

cnf(c_0_373,plain,
    ~ sdtmndtasgtdt0(esk5_1(xR),xR,esk17_3(esk3_1(xR),esk5_1(xR),esk4_1(xR))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_350]),c_0_371])]),c_0_351]) ).

cnf(c_0_374,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_358]),c_0_350])]),c_0_351]),c_0_373]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n010.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 : Thu Jun 16 19:22:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 5.08/2.49  # ENIGMATIC: Solved by autoschedule:
% 5.08/2.49  # No SInE strategy applied
% 5.08/2.49  # Trying AutoSched0 for 150 seconds
% 5.08/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 5.08/2.49  # and selection function SelectCQArNTNpEqFirst.
% 5.08/2.49  #
% 5.08/2.49  # Preprocessing time       : 0.041 s
% 5.08/2.49  # Presaturation interreduction done
% 5.08/2.49  
% 5.08/2.49  # Proof found!
% 5.08/2.49  # SZS status Theorem
% 5.08/2.49  # SZS output start CNFRefutation
% See solution above
% 5.08/2.49  # Training examples: 0 positive, 0 negative
% 5.08/2.49  
% 5.08/2.49  # -------------------------------------------------
% 5.08/2.49  # User time                : 0.161 s
% 5.08/2.49  # System time              : 0.008 s
% 5.08/2.49  # Total time               : 0.169 s
% 5.08/2.49  # Maximum resident set size: 7124 pages
% 5.08/2.49  
%------------------------------------------------------------------------------