TSTP Solution File: GRP700+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 : Sat Jul 16 08:40:19 EDT 2022

% Result   : Theorem 8.74s 2.51s
% Output   : CNFRefutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (  17 unt;   0 nHn;   4 RR)
%            Number of literals    :   23 (  22 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_7) ).

cnf(i_0_5,plain,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_5) ).

cnf(i_0_4,plain,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_4) ).

cnf(i_0_3,plain,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_3) ).

cnf(i_0_6,plain,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_6) ).

cnf(i_0_9,negated_conjecture,
    ( mult(X1,esk1_0) != unit
    | mult(esk1_0,X1) != unit ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hoiol41h/lgb.p',i_0_9) ).

cnf(c_0_16,plain,
    mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
    i_0_7 ).

cnf(c_0_17,plain,
    mult(X1,unit) = X1,
    i_0_5 ).

cnf(c_0_18,plain,
    rd(mult(X1,X2),X2) = X1,
    i_0_4 ).

cnf(c_0_19,plain,
    mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).

cnf(c_0_20,plain,
    rd(mult(X1,mult(mult(X2,X1),X1)),X1) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    mult(rd(X1,X2),X2) = X1,
    i_0_3 ).

cnf(c_0_22,plain,
    mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,mult(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    mult(unit,X1) = X1,
    i_0_6 ).

cnf(c_0_24,negated_conjecture,
    ( mult(X1,esk1_0) != unit
    | mult(esk1_0,X1) != unit ),
    i_0_9 ).

cnf(c_0_25,plain,
    rd(rd(mult(X1,mult(X2,X1)),X1),X1) = mult(X1,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_22]) ).

cnf(c_0_26,plain,
    rd(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_27,plain,
    ( mult(esk1_0,rd(X1,esk1_0)) != unit
    | X1 != unit ),
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

cnf(c_0_28,plain,
    mult(X1,rd(unit,X1)) = unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_18]),c_0_26]) ).

cnf(c_0_29,plain,
    $false,
    inference(spm,[status(thm)],[c_0_27,c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.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 : Tue Jun 14 03:47:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.74/2.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.51  # No SInE strategy applied
% 8.74/2.51  # Trying AutoSched0 for 150 seconds
% 8.74/2.51  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 8.74/2.51  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.74/2.51  #
% 8.74/2.51  # Preprocessing time       : 0.014 s
% 8.74/2.51  # Presaturation interreduction done
% 8.74/2.51  
% 8.74/2.51  # Proof found!
% 8.74/2.51  # SZS status Theorem
% 8.74/2.51  # SZS output start CNFRefutation
% See solution above
% 8.74/2.51  # Training examples: 0 positive, 0 negative
% 8.74/2.51  
% 8.74/2.51  # -------------------------------------------------
% 8.74/2.51  # User time                : 0.020 s
% 8.74/2.51  # System time              : 0.007 s
% 8.74/2.51  # Total time               : 0.027 s
% 8.74/2.51  # Maximum resident set size: 7120 pages
% 8.74/2.51  
%------------------------------------------------------------------------------