TSTP Solution File: GRP703+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 08:40:21 EDT 2022

% Result   : Theorem 6.72s 2.07s
% Output   : CNFRefutation 6.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  23 unt;   0 nHn;   5 RR)
%            Number of literals    :   29 (  28 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/input.p',i_0_6) ).

cnf(i_0_1,plain,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/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-t6rjoqlt/input.p',i_0_11) ).

cnf(i_0_5,plain,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/input.p',i_0_5) ).

cnf(i_0_12,plain,
    mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/input.p',i_0_12) ).

cnf(i_0_3,plain,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/input.p',i_0_3) ).

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-t6rjoqlt/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-t6rjoqlt/input.p',i_0_8) ).

cnf(i_0_14,negated_conjecture,
    ( mult(mult(op_e,esk1_0),esk2_0) != mult(op_e,mult(esk1_0,esk2_0))
    | mult(mult(esk1_0,op_e),esk2_0) != mult(esk1_0,mult(op_e,esk2_0))
    | mult(mult(esk1_0,esk2_0),op_e) != mult(esk1_0,mult(esk2_0,op_e)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6rjoqlt/input.p',i_0_14) ).

cnf(c_0_24,plain,
    mult(unit,X1) = X1,
    i_0_6 ).

cnf(c_0_25,plain,
    mult(X1,ld(X1,X2)) = X2,
    i_0_1 ).

cnf(c_0_26,plain,
    ld(unit,X1) = X1,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    ld(X1,mult(op_c,X1)) = op_d,
    i_0_11 ).

cnf(c_0_28,plain,
    mult(X1,unit) = X1,
    i_0_5 ).

cnf(c_0_29,plain,
    op_d = op_c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_30,plain,
    ld(X1,mult(op_c,X1)) = op_c,
    inference(rw,[status(thm)],[c_0_27,c_0_29]) ).

cnf(c_0_31,plain,
    mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e,
    i_0_12 ).

cnf(c_0_32,plain,
    mult(rd(X1,X2),X2) = X1,
    i_0_3 ).

cnf(c_0_33,plain,
    mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
    i_0_10 ).

cnf(c_0_34,plain,
    mult(X1,op_c) = mult(op_c,X1),
    inference(spm,[status(thm)],[c_0_25,c_0_30]) ).

cnf(c_0_35,plain,
    mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)),
    i_0_8 ).

cnf(c_0_36,negated_conjecture,
    ( mult(mult(op_e,esk1_0),esk2_0) != mult(op_e,mult(esk1_0,esk2_0))
    | mult(mult(esk1_0,op_e),esk2_0) != mult(esk1_0,mult(op_e,esk2_0))
    | mult(mult(esk1_0,esk2_0),op_e) != mult(esk1_0,mult(esk2_0,op_e)) ),
    i_0_14 ).

cnf(c_0_37,plain,
    op_e = op_c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_24]),c_0_32]) ).

cnf(c_0_38,plain,
    mult(op_c,mult(X1,X2)) = mult(X1,mult(op_c,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_39,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_36,c_0_37]),c_0_35]),c_0_37]),c_0_37]),c_0_34]),c_0_35]),c_0_37]),c_0_38]),c_0_37]),c_0_34]),c_0_37]),c_0_34]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n032.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 : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jun 14 01:49:59 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.40  # ENIGMATIC: Selected complete mode:
% 6.72/2.07  # ENIGMATIC: Solved by autoschedule:
% 6.72/2.07  # No SInE strategy applied
% 6.72/2.07  # Trying AutoSched0 for 150 seconds
% 6.72/2.07  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 6.72/2.07  # and selection function SelectComplexExceptUniqMaxHorn.
% 6.72/2.07  #
% 6.72/2.07  # Preprocessing time       : 0.012 s
% 6.72/2.07  # Presaturation interreduction done
% 6.72/2.07  
% 6.72/2.07  # Proof found!
% 6.72/2.07  # SZS status Theorem
% 6.72/2.07  # SZS output start CNFRefutation
% See solution above
% 6.72/2.07  # Training examples: 0 positive, 0 negative
% 6.72/2.07  
% 6.72/2.07  # -------------------------------------------------
% 6.72/2.07  # User time                : 0.016 s
% 6.72/2.07  # System time              : 0.005 s
% 6.72/2.07  # Total time               : 0.021 s
% 6.72/2.07  # Maximum resident set size: 7120 pages
% 6.72/2.07  
%------------------------------------------------------------------------------