TSTP Solution File: KRS082+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 02:55:33 EDT 2022

% Result   : Unsatisfiable 4.15s 2.06s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (   4 unt;   0 nHn;  31 RR)
%            Number of literals    :   85 (   0 equ;  61 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   56 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
    ( rinvP(X1,X2)
    | ~ rp(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_22) ).

cnf(i_0_14,plain,
    ( rp(esk1_1(X1),esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_14) ).

cnf(i_0_21,plain,
    ( ~ cc(X1)
    | ~ ca(X2)
    | ~ rinvR(X1,X3)
    | ~ rinvP(X3,X4)
    | ~ rinvS(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_21) ).

cnf(i_0_24,plain,
    ( rinvR(X1,X2)
    | ~ rr(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_24) ).

cnf(i_0_11,plain,
    ( rr(X1,esk3_2(X2,X1))
    | ~ cUnsatisfiable(X2)
    | ~ rp(esk1_1(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_11) ).

cnf(i_0_7,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X2)
    | ~ rr(X3,X1)
    | ~ rp(esk1_1(X2),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_7) ).

cnf(i_0_26,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_26) ).

cnf(i_0_15,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_15) ).

cnf(i_0_16,plain,
    ( ca(X1)
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_16) ).

cnf(i_0_29,plain,
    cUnsatisfiable(i2003_11_14_17_19_28752),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oexw5yq0/lgb.p',i_0_29) ).

cnf(c_0_40,plain,
    ( rinvP(X1,X2)
    | ~ rp(X2,X1) ),
    i_0_22 ).

cnf(c_0_41,plain,
    ( rp(esk1_1(X1),esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_14 ).

cnf(c_0_42,plain,
    ( ~ cc(X1)
    | ~ ca(X2)
    | ~ rinvR(X1,X3)
    | ~ rinvP(X3,X4)
    | ~ rinvS(X4,X2) ),
    i_0_21 ).

cnf(c_0_43,plain,
    ( rinvP(esk2_1(X1),esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( rinvR(X1,X2)
    | ~ rr(X2,X1) ),
    i_0_24 ).

cnf(c_0_45,plain,
    ( rr(X1,esk3_2(X2,X1))
    | ~ cUnsatisfiable(X2)
    | ~ rp(esk1_1(X2),X1) ),
    i_0_11 ).

cnf(c_0_46,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X2)
    | ~ rr(X3,X1)
    | ~ rp(esk1_1(X2),X3) ),
    i_0_7 ).

cnf(c_0_47,plain,
    ( ~ ca(X1)
    | ~ rinvR(X2,esk2_1(X3))
    | ~ rinvS(esk1_1(X3),X1)
    | ~ cc(X2)
    | ~ cUnsatisfiable(X3) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    ( rinvR(esk3_2(X1,X2),X2)
    | ~ rp(esk1_1(X1),X2)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X2)
    | ~ rr(esk2_1(X2),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_41]) ).

cnf(c_0_50,plain,
    ( ~ ca(X1)
    | ~ rinvS(esk1_1(X2),X1)
    | ~ cc(esk3_2(X3,esk2_1(X2)))
    | ~ rp(esk1_1(X3),esk2_1(X2))
    | ~ cUnsatisfiable(X2)
    | ~ cUnsatisfiable(X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,plain,
    ( cc(esk3_2(X1,esk2_1(X2)))
    | ~ rp(esk1_1(X1),esk2_1(X2))
    | ~ cUnsatisfiable(X2)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_45]) ).

cnf(c_0_52,plain,
    ( ~ ca(X1)
    | ~ rinvS(esk1_1(X2),X1)
    | ~ rp(esk1_1(X3),esk2_1(X2))
    | ~ cUnsatisfiable(X2)
    | ~ cUnsatisfiable(X3) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_53,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    i_0_26 ).

cnf(c_0_54,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_15 ).

cnf(c_0_55,plain,
    ( ~ ca(X1)
    | ~ rinvS(esk1_1(X2),X1)
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_41]) ).

cnf(c_0_56,plain,
    ( rinvS(esk1_1(X1),X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( ca(X1)
    | ~ cUnsatisfiable(X1) ),
    i_0_16 ).

cnf(c_0_58,plain,
    cUnsatisfiable(i2003_11_14_17_19_28752),
    i_0_29 ).

cnf(c_0_59,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_60,plain,
    $false,
    inference(sr,[status(thm)],[c_0_58,c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 600
% 0.08/0.27  % DateTime : Tue Jun  7 18:20:22 EDT 2022
% 0.08/0.27  % CPUTime  : 
% 0.11/0.36  # ENIGMATIC: Selected complete mode:
% 4.15/2.06  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.15/2.06  # No SInE strategy applied
% 4.15/2.06  # Trying AutoSched0 for 150 seconds
% 4.15/2.06  # AutoSched0-Mode selected heuristic G_E___092_C01_F1_AE_CS_SP_PS_CO_S0Y
% 4.15/2.06  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.15/2.06  #
% 4.15/2.06  # Preprocessing time       : 0.014 s
% 4.15/2.06  # Presaturation interreduction done
% 4.15/2.06  
% 4.15/2.06  # Proof found!
% 4.15/2.06  # SZS status Theorem
% 4.15/2.06  # SZS output start CNFRefutation
% See solution above
% 4.15/2.06  # Training examples: 0 positive, 0 negative
% 4.15/2.06  
% 4.15/2.06  # -------------------------------------------------
% 4.15/2.06  # User time                : 0.018 s
% 4.15/2.06  # System time              : 0.002 s
% 4.15/2.06  # Total time               : 0.020 s
% 4.15/2.06  # Maximum resident set size: 7124 pages
% 4.15/2.06  
%------------------------------------------------------------------------------