TSTP Solution File: KLE034+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 : Sun Jul 17 01:49:45 EDT 2022

% Result   : Theorem 8.33s 2.49s
% Output   : CNFRefutation 8.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   42 (  32 unt;   0 nHn;  26 RR)
%            Number of literals    :   54 (  28 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   44 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
    leq(multiplication(multiplication(esk4_0,esk2_0),c(esk5_0)),zero),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_6) ).

cnf(i_0_13,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_13) ).

cnf(i_0_7,negated_conjecture,
    leq(multiplication(multiplication(esk3_0,esk1_0),c(esk4_0)),zero),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_7) ).

cnf(i_0_17,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_17) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_4) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_2) ).

cnf(i_0_27,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_27) ).

cnf(i_0_12,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_12) ).

cnf(i_0_23,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_23) ).

cnf(i_0_11,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_11) ).

cnf(i_0_14,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_14) ).

cnf(i_0_10,negated_conjecture,
    test(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_10) ).

cnf(i_0_5,negated_conjecture,
    ~ leq(multiplication(multiplication(multiplication(esk3_0,esk1_0),esk2_0),c(esk5_0)),zero),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_5) ).

cnf(i_0_16,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-aonm6ji9/lgb.p',i_0_16) ).

cnf(c_0_42,negated_conjecture,
    leq(multiplication(multiplication(esk4_0,esk2_0),c(esk5_0)),zero),
    i_0_6 ).

cnf(c_0_43,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_13 ).

cnf(c_0_44,negated_conjecture,
    leq(multiplication(multiplication(esk3_0,esk1_0),c(esk4_0)),zero),
    i_0_7 ).

cnf(c_0_45,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    i_0_17 ).

cnf(c_0_46,negated_conjecture,
    leq(multiplication(esk4_0,multiplication(esk2_0,c(esk5_0))),zero),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_48,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_49,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_27 ).

cnf(c_0_50,negated_conjecture,
    leq(multiplication(esk3_0,multiplication(esk1_0,c(esk4_0))),zero),
    inference(rw,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_51,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_12 ).

cnf(c_0_52,plain,
    multiplication(esk4_0,multiplication(esk2_0,c(esk5_0))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_53,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_23 ).

cnf(c_0_55,plain,
    ( complement(X1,c(X1))
    | ~ test(X1) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_56,plain,
    multiplication(esk3_0,multiplication(esk1_0,c(esk4_0))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_47]) ).

cnf(c_0_57,plain,
    multiplication(zero,X1) = zero,
    i_0_11 ).

cnf(c_0_58,plain,
    multiplication(addition(esk4_0,X1),multiplication(esk2_0,c(esk5_0))) = multiplication(X1,multiplication(esk2_0,c(esk5_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_59,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_48]) ).

cnf(c_0_60,plain,
    multiplication(one,X1) = X1,
    i_0_14 ).

cnf(c_0_61,negated_conjecture,
    test(esk4_0),
    i_0_10 ).

cnf(c_0_62,negated_conjecture,
    ~ leq(multiplication(multiplication(multiplication(esk3_0,esk1_0),esk2_0),c(esk5_0)),zero),
    i_0_5 ).

cnf(c_0_63,plain,
    multiplication(esk3_0,multiplication(esk1_0,multiplication(c(esk4_0),X1))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_57]),c_0_43]) ).

cnf(c_0_64,plain,
    multiplication(c(esk4_0),multiplication(esk2_0,c(esk5_0))) = multiplication(esk2_0,c(esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]) ).

cnf(c_0_65,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_16 ).

cnf(c_0_66,negated_conjecture,
    ~ leq(multiplication(esk3_0,multiplication(esk1_0,multiplication(esk2_0,c(esk5_0)))),zero),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_43]),c_0_43]),c_0_43]) ).

cnf(c_0_67,plain,
    multiplication(esk3_0,multiplication(esk1_0,multiplication(esk2_0,c(esk5_0)))) = zero,
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    leq(zero,X1),
    inference(spm,[status(thm)],[c_0_65,c_0_53]) ).

cnf(c_0_69,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_68])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n016.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 12:38:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.33/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.33/2.49  # No SInE strategy applied
% 8.33/2.49  # Trying AutoSched0 for 150 seconds
% 8.33/2.49  # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 8.33/2.49  # and selection function SelectNewComplexAHP.
% 8.33/2.49  #
% 8.33/2.49  # Preprocessing time       : 0.023 s
% 8.33/2.49  
% 8.33/2.49  # Proof found!
% 8.33/2.49  # SZS status Theorem
% 8.33/2.49  # SZS output start CNFRefutation
% See solution above
% 8.33/2.49  # Training examples: 0 positive, 0 negative
% 8.33/2.49  
% 8.33/2.49  # -------------------------------------------------
% 8.33/2.49  # User time                : 0.049 s
% 8.33/2.49  # System time              : 0.006 s
% 8.33/2.49  # Total time               : 0.055 s
% 8.33/2.49  # Maximum resident set size: 7128 pages
% 8.33/2.49  
%------------------------------------------------------------------------------