TSTP Solution File: GRP704+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP704+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:40:22 EDT 2022

% Result   : Theorem 7.91s 2.44s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  21 unt;   0 nHn;   5 RR)
%            Number of literals    :   27 (  26 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_6) ).

cnf(i_0_1,plain,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_1) ).

cnf(i_0_11,plain,
    ld(X1,mult(op_c,X1)) = op_d,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_11) ).

cnf(i_0_5,plain,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_5) ).

cnf(i_0_13,plain,
    mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_13) ).

cnf(i_0_10,plain,
    mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_10) ).

cnf(i_0_8,plain,
    mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_8) ).

cnf(i_0_14,negated_conjecture,
    ( mult(mult(op_f,esk1_0),esk2_0) != mult(op_f,mult(esk1_0,esk2_0))
    | mult(mult(esk1_0,op_f),esk2_0) != mult(esk1_0,mult(op_f,esk2_0))
    | mult(mult(esk1_0,esk2_0),op_f) != mult(esk1_0,mult(esk2_0,op_f)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sjfy_utx/input.p',i_0_14) ).

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

cnf(c_0_24,plain,
    mult(X1,ld(X1,X2)) = X2,
    i_0_1 ).

cnf(c_0_25,plain,
    ld(unit,X1) = X1,
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,plain,
    ld(X1,mult(op_c,X1)) = op_d,
    i_0_11 ).

cnf(c_0_27,plain,
    mult(X1,unit) = X1,
    i_0_5 ).

cnf(c_0_28,plain,
    op_d = op_c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,plain,
    ld(X1,mult(op_c,X1)) = op_c,
    inference(rw,[status(thm)],[c_0_26,c_0_28]) ).

cnf(c_0_30,plain,
    mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f,
    i_0_13 ).

cnf(c_0_31,plain,
    mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
    i_0_10 ).

cnf(c_0_32,plain,
    mult(X1,op_c) = mult(op_c,X1),
    inference(spm,[status(thm)],[c_0_24,c_0_29]) ).

cnf(c_0_33,plain,
    mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)),
    i_0_8 ).

cnf(c_0_34,negated_conjecture,
    ( mult(mult(op_f,esk1_0),esk2_0) != mult(op_f,mult(esk1_0,esk2_0))
    | mult(mult(esk1_0,op_f),esk2_0) != mult(esk1_0,mult(op_f,esk2_0))
    | mult(mult(esk1_0,esk2_0),op_f) != mult(esk1_0,mult(esk2_0,op_f)) ),
    i_0_14 ).

cnf(c_0_35,plain,
    op_f = op_c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_23]),c_0_24]) ).

cnf(c_0_36,plain,
    mult(op_c,mult(X1,X2)) = mult(X1,mult(op_c,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_33]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_35]),c_0_36]),c_0_35]),c_0_32]),c_0_35]),c_0_32]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP704+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.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  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 12:25:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.91/2.44  # ENIGMATIC: Solved by autoschedule:
% 7.91/2.44  # No SInE strategy applied
% 7.91/2.44  # Trying AutoSched0 for 150 seconds
% 7.91/2.44  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 7.91/2.44  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.91/2.44  #
% 7.91/2.44  # Preprocessing time       : 0.022 s
% 7.91/2.44  # Presaturation interreduction done
% 7.91/2.44  
% 7.91/2.44  # Proof found!
% 7.91/2.44  # SZS status Theorem
% 7.91/2.44  # SZS output start CNFRefutation
% See solution above
% 7.91/2.44  # Training examples: 0 positive, 0 negative
% 7.91/2.44  
% 7.91/2.44  # -------------------------------------------------
% 7.91/2.44  # User time                : 0.026 s
% 7.91/2.44  # System time              : 0.005 s
% 7.91/2.44  # Total time               : 0.030 s
% 7.91/2.44  # Maximum resident set size: 7120 pages
% 7.91/2.44  
%------------------------------------------------------------------------------