TSTP Solution File: REL031+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL031+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 : Mon Jul 18 19:13:32 EDT 2022

% Result   : Theorem 14.22s 3.34s
% Output   : CNFRefutation 14.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  35 unt;   0 nHn;  11 RR)
%            Number of literals    :   35 (  34 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_6) ).

cnf(i_0_3,plain,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_3) ).

cnf(i_0_12,negated_conjecture,
    join(composition(converse(esk2_0),esk2_0),one) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_12) ).

cnf(i_0_14,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_14) ).

cnf(i_0_15,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_15) ).

cnf(i_0_2,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_2) ).

cnf(i_0_13,negated_conjecture,
    join(composition(converse(esk1_0),esk1_0),one) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_13) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_4) ).

cnf(i_0_1,plain,
    composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_1) ).

cnf(i_0_11,negated_conjecture,
    join(composition(converse(composition(esk1_0,esk2_0)),composition(esk1_0,esk2_0)),one) != one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wmqk72s9/input.p',i_0_11) ).

cnf(c_0_27,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_28,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_29,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    composition(X1,one) = X1,
    i_0_3 ).

cnf(c_0_31,negated_conjecture,
    join(composition(converse(esk2_0),esk2_0),one) = one,
    i_0_12 ).

cnf(c_0_32,plain,
    join(X1,X2) = join(X2,X1),
    i_0_14 ).

cnf(c_0_33,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).

cnf(c_0_34,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    i_0_15 ).

cnf(c_0_35,negated_conjecture,
    join(one,composition(converse(esk2_0),esk2_0)) = one,
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_30,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    join(one,join(composition(converse(esk2_0),esk2_0),X1)) = join(one,X1),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    i_0_2 ).

cnf(c_0_39,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    join(composition(converse(esk1_0),esk1_0),one) = one,
    i_0_13 ).

cnf(c_0_41,plain,
    join(one,composition(join(converse(esk2_0),X1),esk2_0)) = join(one,composition(X1,esk2_0)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_43,plain,
    join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    join(one,composition(converse(esk1_0),esk1_0)) = one,
    inference(rw,[status(thm)],[c_0_40,c_0_32]) ).

cnf(c_0_45,plain,
    composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
    i_0_1 ).

cnf(c_0_46,negated_conjecture,
    join(composition(converse(composition(esk1_0,esk2_0)),composition(esk1_0,esk2_0)),one) != one,
    i_0_11 ).

cnf(c_0_47,plain,
    join(one,composition(converse(join(esk2_0,X1)),esk2_0)) = join(one,composition(converse(X1),esk2_0)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    join(X1,composition(converse(esk1_0),composition(esk1_0,X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    join(one,composition(converse(composition(esk1_0,esk2_0)),composition(esk1_0,esk2_0))) != one,
    inference(rw,[status(thm)],[c_0_46,c_0_32]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_35]),c_0_29]),c_0_45]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : REL031+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.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 : Fri Jul  8 08:07:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.22/3.34  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.22/3.34  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 47; version: 991; iters: 150)
% 14.22/3.34  # Preprocessing time       : 0.890 s
% 14.22/3.34  # Presaturation interreduction done
% 14.22/3.34  
% 14.22/3.34  # Proof found!
% 14.22/3.34  # SZS status Theorem
% 14.22/3.34  # SZS output start CNFRefutation
% See solution above
% 14.22/3.34  # Training examples: 0 positive, 0 negative
% 14.22/3.34  
% 14.22/3.34  # -------------------------------------------------
% 14.22/3.34  # User time                : 0.811 s
% 14.22/3.34  # System time              : 0.111 s
% 14.22/3.34  # Total time               : 0.922 s
% 14.22/3.34  # ...preprocessing         : 0.890 s
% 14.22/3.34  # ...main loop             : 0.032 s
% 14.22/3.34  # Maximum resident set size: 167956 pages
% 14.22/3.34  
%------------------------------------------------------------------------------