TSTP Solution File: ALG397-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : ALG397-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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  : 300s
% DateTime : Mon May 20 18:16:40 EDT 2024

% Result   : Unsatisfiable 10.17s 3.26s
% Output   : Refutation 10.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   28 (   3   ~;   0   |;   0   &;  25   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant_type,type,
    c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: $i > $i > $i > $o ).

thf(c_Polynomial_Opoly_type,type,
    c_Polynomial_Opoly: $i > $i > $i ).

thf(v_q_____type,type,
    v_q____: $i ).

thf(tc_Complex_Ocomplex_type,type,
    tc_Complex_Ocomplex: $i ).

thf(1,negated_conjecture,
    c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ ( c_Polynomial_Opoly @ v_q____ @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(646,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ ( c_Polynomial_Opoly @ v_q____ @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(611,axiom,
    ~ ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ ( c_Polynomial_Opoly @ v_q____ @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

thf(2027,plain,
    ~ ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ ( c_Polynomial_Opoly @ v_q____ @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[611]) ).

thf(2028,plain,
    ~ ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ ( c_Polynomial_Opoly @ v_q____ @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ),
    inference(polarity_switch,[status(thm)],[2027]) ).

thf(2085,plain,
    $false,
    inference(rewrite,[status(thm)],[646,2028]) ).

thf(2086,plain,
    $false,
    inference(simp,[status(thm)],[2085]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG397-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat May 18 23:47:39 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.97/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.79/1.08  % [INFO] 	 Parsing done (225ms). 
% 1.79/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.21/1.31  % [INFO] 	 nitpick registered as external prover. 
% 2.21/1.32  % [INFO] 	 Scanning for conjecture ... 
% 2.69/1.43  % [INFO] 	 Found a conjecture (or negated_conjecture) and 712 axioms. Running axiom selection ... 
% 3.26/1.58  % [INFO] 	 Axiom selection finished. Selected 644 axioms (removed 68 axioms). 
% 3.92/1.75  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 4.24/1.78  % [INFO] 	 Type checking passed. 
% 4.24/1.78  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 10.17/3.25  % [INFO] 	 Killing All external provers ... 
% 10.17/3.26  % Time passed: 2735ms (effective reasoning time: 2160ms)
% 10.17/3.26  % Axioms used in derivation (1): cls_CHAINED_0
% 10.17/3.26  % No. of inferences in proof: 7
% 10.17/3.26  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2735 ms resp. 2160 ms w/o parsing
% 10.17/3.27  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.17/3.27  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------