TSTP Solution File: ALG211+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Thu Jul 14 15:33:00 EDT 2022

% Result   : Theorem 7.78s 2.25s
% Output   : CNFRefutation 7.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (   7 unt;   0 nHn;  24 RR)
%            Number of literals    :   48 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   37 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( lin_ind_subset(X1,X2)
    | ~ lin_ind_subset(X1,X3)
    | ~ a_vector_subspace_of(X3,X2)
    | ~ a_subset_of(X1,vec_to_class(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_8) ).

cnf(i_0_1,plain,
    ( a_subset_of(X1,vec_to_class(X2))
    | ~ basis_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_1) ).

cnf(i_0_2,plain,
    ( lin_ind_subset(X1,X2)
    | ~ basis_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_2) ).

cnf(i_0_11,negated_conjecture,
    a_vector_subspace_of(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_11) ).

cnf(i_0_9,negated_conjecture,
    ( ~ basis_of(X1,esk3_0)
    | ~ basis_of(union(X1,X2),esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_9) ).

cnf(i_0_3,plain,
    ( basis_of(union(X1,esk1_3(X1,X2,X3)),X3)
    | ~ basis_of(X2,X3)
    | ~ lin_ind_subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_3) ).

cnf(i_0_6,plain,
    ( a_vector_space(X1)
    | ~ a_vector_subspace_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    ( basis_of(esk2_1(X1),X1)
    | ~ a_vector_space(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_5) ).

cnf(i_0_10,negated_conjecture,
    a_vector_space(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0n8_qdn3/lgb.p',i_0_10) ).

cnf(c_0_21,plain,
    ( lin_ind_subset(X1,X2)
    | ~ lin_ind_subset(X1,X3)
    | ~ a_vector_subspace_of(X3,X2)
    | ~ a_subset_of(X1,vec_to_class(X3)) ),
    i_0_8 ).

cnf(c_0_22,plain,
    ( a_subset_of(X1,vec_to_class(X2))
    | ~ basis_of(X1,X2) ),
    i_0_1 ).

cnf(c_0_23,plain,
    ( lin_ind_subset(X1,X2)
    | ~ basis_of(X1,X2) ),
    i_0_2 ).

cnf(c_0_24,plain,
    ( lin_ind_subset(X1,X2)
    | ~ a_vector_subspace_of(X3,X2)
    | ~ basis_of(X1,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    a_vector_subspace_of(esk3_0,esk4_0),
    i_0_11 ).

cnf(c_0_26,negated_conjecture,
    ( ~ basis_of(X1,esk3_0)
    | ~ basis_of(union(X1,X2),esk4_0) ),
    i_0_9 ).

cnf(c_0_27,plain,
    ( basis_of(union(X1,esk1_3(X1,X2,X3)),X3)
    | ~ basis_of(X2,X3)
    | ~ lin_ind_subset(X1,X3) ),
    i_0_3 ).

cnf(c_0_28,negated_conjecture,
    ( lin_ind_subset(X1,esk4_0)
    | ~ basis_of(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( a_vector_space(X1)
    | ~ a_vector_subspace_of(X1,X2) ),
    i_0_6 ).

cnf(c_0_30,negated_conjecture,
    ( ~ basis_of(X1,esk3_0)
    | ~ basis_of(X2,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_31,plain,
    ( basis_of(esk2_1(X1),X1)
    | ~ a_vector_space(X1) ),
    i_0_5 ).

cnf(c_0_32,negated_conjecture,
    a_vector_space(esk3_0),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_33,plain,
    ~ basis_of(X1,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_34,negated_conjecture,
    a_vector_space(esk4_0),
    i_0_10 ).

cnf(c_0_35,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_34])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun  8 06:44:51 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.78/2.25  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.78/2.25  # No SInE strategy applied
% 7.78/2.25  # Trying AutoSched0 for 150 seconds
% 7.78/2.25  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.78/2.25  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.78/2.25  #
% 7.78/2.25  # Preprocessing time       : 0.022 s
% 7.78/2.25  # Presaturation interreduction done
% 7.78/2.25  
% 7.78/2.25  # Proof found!
% 7.78/2.25  # SZS status Theorem
% 7.78/2.25  # SZS output start CNFRefutation
% See solution above
% 7.78/2.25  # Training examples: 0 positive, 0 negative
% 7.78/2.25  
% 7.78/2.25  # -------------------------------------------------
% 7.78/2.25  # User time                : 0.025 s
% 7.78/2.25  # System time              : 0.003 s
% 7.78/2.25  # Total time               : 0.028 s
% 7.78/2.25  # Maximum resident set size: 7120 pages
% 7.78/2.25  
%------------------------------------------------------------------------------