TSTP Solution File: KLE091+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE091+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 01:50:05 EDT 2022

% Result   : Theorem 7.90s 2.53s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   65 (  65 unt;   0 nHn;   5 RR)
%            Number of literals    :   65 (  64 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   88 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_11) ).

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

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

cnf(i_0_18,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_18) ).

cnf(i_0_9,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_9) ).

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

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

cnf(i_0_10,plain,
    addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_10) ).

cnf(i_0_5,plain,
    multiplication(X1,coantidomain(X1)) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_5) ).

cnf(i_0_22,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_22) ).

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

cnf(i_0_7,plain,
    addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_7) ).

cnf(i_0_17,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_17) ).

cnf(i_0_6,plain,
    addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_6) ).

cnf(i_0_13,negated_conjecture,
    antidomain(antidomain(coantidomain(coantidomain(esk1_0)))) != coantidomain(coantidomain(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-unzmgxsl/input.p',i_0_13) ).

cnf(c_0_38,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_11 ).

cnf(c_0_39,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_40,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_41,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    multiplication(X1,one) = X1,
    i_0_18 ).

cnf(c_0_43,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_9 ).

cnf(c_0_44,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_45,plain,
    addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_47,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_44]) ).

cnf(c_0_49,plain,
    addition(one,antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_41]) ).

cnf(c_0_50,plain,
    addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
    i_0_10 ).

cnf(c_0_51,plain,
    multiplication(X1,coantidomain(X1)) = zero,
    i_0_5 ).

cnf(c_0_52,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_48]) ).

cnf(c_0_53,plain,
    addition(one,antidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_49]),c_0_39]) ).

cnf(c_0_54,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_22 ).

cnf(c_0_55,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_15 ).

cnf(c_0_56,plain,
    addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
    i_0_7 ).

cnf(c_0_57,plain,
    antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).

cnf(c_0_58,plain,
    multiplication(one,X1) = X1,
    i_0_17 ).

cnf(c_0_59,plain,
    multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_44]) ).

cnf(c_0_60,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_48]) ).

cnf(c_0_61,plain,
    addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_56,c_0_39]) ).

cnf(c_0_62,plain,
    multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_57]),c_0_58]) ).

cnf(c_0_63,plain,
    multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)) = antidomain(antidomain(antidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_42]) ).

cnf(c_0_64,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_41]),c_0_58]) ).

cnf(c_0_65,plain,
    multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_48]) ).

cnf(c_0_66,plain,
    addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
    i_0_6 ).

cnf(c_0_67,plain,
    addition(coantidomain(X1),addition(coantidomain(coantidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_61]) ).

cnf(c_0_68,plain,
    multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_62]),c_0_48]) ).

cnf(c_0_69,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_44]) ).

cnf(c_0_71,plain,
    multiplication(X1,coantidomain(coantidomain(X1))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_42]) ).

cnf(c_0_72,plain,
    addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))) = coantidomain(coantidomain(coantidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_42]) ).

cnf(c_0_73,plain,
    addition(one,coantidomain(coantidomain(X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_46]),c_0_61]) ).

cnf(c_0_74,plain,
    multiplication(X1,antidomain(coantidomain(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_41]),c_0_42]),c_0_69]) ).

cnf(c_0_75,plain,
    coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_61]),c_0_58]),c_0_71]) ).

cnf(c_0_76,plain,
    addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(coantidomain(X1))))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_72]),c_0_73]) ).

cnf(c_0_77,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_39]) ).

cnf(c_0_78,plain,
    multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_79,plain,
    addition(one,coantidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_76]),c_0_73]),c_0_39]) ).

cnf(c_0_80,plain,
    addition(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_39]),c_0_79]),c_0_58]),c_0_39]) ).

cnf(c_0_81,plain,
    multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_48]) ).

cnf(c_0_82,plain,
    multiplication(addition(X1,X2),coantidomain(X1)) = multiplication(X2,coantidomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_48]) ).

cnf(c_0_83,plain,
    addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_80]),c_0_53]) ).

cnf(c_0_84,plain,
    multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_61]),c_0_42]) ).

cnf(c_0_85,negated_conjecture,
    antidomain(antidomain(coantidomain(coantidomain(esk1_0)))) != coantidomain(coantidomain(esk1_0)),
    i_0_13 ).

cnf(c_0_86,plain,
    antidomain(coantidomain(X1)) = coantidomain(coantidomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_58]),c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86]),c_0_75]),c_0_86])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 14:16:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.90/2.53  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.90/2.53  # Version: 2.1pre011
% 7.90/2.53  # Preprocessing time       : 0.019 s
% 7.90/2.53  
% 7.90/2.53  # Proof found!
% 7.90/2.53  # SZS status Theorem
% 7.90/2.53  # SZS output start CNFRefutation
% See solution above
% 7.90/2.53  # Proof object total steps             : 65
% 7.90/2.53  # Proof object clause steps            : 50
% 7.90/2.53  # Proof object formula steps           : 15
% 7.90/2.53  # Proof object conjectures             : 3
% 7.90/2.53  # Proof object clause conjectures      : 2
% 7.90/2.53  # Proof object formula conjectures     : 1
% 7.90/2.53  # Proof object initial clauses used    : 15
% 7.90/2.53  # Proof object initial formulas used   : 15
% 7.90/2.53  # Proof object generating inferences   : 31
% 7.90/2.53  # Proof object simplifying inferences  : 42
% 7.90/2.53  # Training examples: 0 positive, 0 negative
% 7.90/2.53  # Parsed axioms                        : 20
% 7.90/2.53  # Removed by relevancy pruning/SinE    : 0
% 7.90/2.53  # Initial clauses                      : 20
% 7.90/2.53  # Removed in clause preprocessing      : 0
% 7.90/2.53  # Initial clauses in saturation        : 20
% 7.90/2.53  # Processed clauses                    : 642
% 7.90/2.53  # ...of these trivial                  : 273
% 7.90/2.53  # ...subsumed                          : 170
% 7.90/2.53  # ...remaining for further processing  : 199
% 7.90/2.53  # Other redundant clauses eliminated   : 0
% 7.90/2.53  # Clauses deleted for lack of memory   : 0
% 7.90/2.53  # Backward-subsumed                    : 0
% 7.90/2.53  # Backward-rewritten                   : 61
% 7.90/2.53  # Generated clauses                    : 10982
% 7.90/2.53  # ...of the previous two non-trivial   : 5766
% 7.90/2.53  # Contextual simplify-reflections      : 0
% 7.90/2.53  # Paramodulations                      : 10982
% 7.90/2.53  # Factorizations                       : 0
% 7.90/2.53  # Equation resolutions                 : 0
% 7.90/2.53  # Propositional unsat checks           : 0
% 7.90/2.53  # Propositional unsat check successes  : 0
% 7.90/2.53  # Current number of processed clauses  : 138
% 7.90/2.53  #    Positive orientable unit clauses  : 132
% 7.90/2.53  #    Positive unorientable unit clauses: 4
% 7.90/2.53  #    Negative unit clauses             : 0
% 7.90/2.53  #    Non-unit-clauses                  : 2
% 7.90/2.53  # Current number of unprocessed clauses: 3788
% 7.90/2.53  # ...number of literals in the above   : 3788
% 7.90/2.53  # Current number of archived formulas  : 0
% 7.90/2.53  # Current number of archived clauses   : 61
% 7.90/2.53  # Clause-clause subsumption calls (NU) : 0
% 7.90/2.53  # Rec. Clause-clause subsumption calls : 0
% 7.90/2.53  # Non-unit clause-clause subsumptions  : 0
% 7.90/2.53  # Unit Clause-clause subsumption calls : 10
% 7.90/2.53  # Rewrite failures with RHS unbound    : 0
% 7.90/2.53  # BW rewrite match attempts            : 270
% 7.90/2.53  # BW rewrite match successes           : 71
% 7.90/2.53  # Condensation attempts                : 0
% 7.90/2.53  # Condensation successes               : 0
% 7.90/2.53  # Termbank termtop insertions          : 127986
% 7.90/2.53  
% 7.90/2.53  # -------------------------------------------------
% 7.90/2.53  # User time                : 0.117 s
% 7.90/2.53  # System time              : 0.009 s
% 7.90/2.53  # Total time               : 0.126 s
% 7.90/2.53  # ...preprocessing         : 0.019 s
% 7.90/2.53  # ...main loop             : 0.108 s
% 7.90/2.53  # Maximum resident set size: 9732 pages
% 7.90/2.53  
%------------------------------------------------------------------------------