↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : BIO003+1 : TPTP v9.2.1. Bugfixed v6.4.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 : Tue May  5 04:11:01 PM UTC 2026

% Result   : Theorem 67.10s 75.78s
% Output   : CNFRefutation 67.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :  280 (  26 equ)
%            Maximal formula atoms :  180 (  28 avg)
%            Number of connectives :  364 (  94   ~;  91   |; 178   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   93 (  20 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   52 (  50 usr;   1 prp; 0-4 aty)
%            Number of functors    :   46 (  42 usr;  16 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ask,conjecture,
    cytoskeleton_1(fn_cell_2(a_cell)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ask) ).

fof(a528132,axiom,
    ! [X1] :
      ( cell_1(X1)
     => ( original_name_2(X1,'Cell')
        & description_2(X1,'The basic unit from which living organisms are made, consisting of an aqueous solution of organic molecules enclosed by a membrane.  All cells arise from existing cells, usually by a process of division into two.  (Alberts:ECB:G-3).')
        & user_description_2(X1,'The basic unit from which living organisms are made.')
        & concept2words_2(X1,cell)
        & living_entity_1(X1)
        & cell_pole_1(fn_cell_1(X1))
        & cytoskeleton_1(fn_cell_2(X1))
        & surface_1(fn_cell_4(X1))
        & shape_value_1(fn_cell_5(X1))
        & specific_surface_area_value_1(fn_cell_7(X1))
        & motor_protein_1(fn_cell_8(X1))
        & protein_enzyme_1(fn_cell_9(X1))
        & size_value_1(fn_cell_11(X1))
        & structural_complexity_value_1(fn_cell_13(X1))
        & ribosome_1(fn_cell_14(X1))
        & length_value_1(fn_cell_18(X1))
        & length_value_1(fn_cell_19(X1))
        & length_value_1(fn_cell_20(X1))
        & membrane_potential_1(fn_cell_21(X1))
        & volume_value_1(fn_cell_22(X1))
        & genome_1(fn_cell_24(X1))
        & chromosome_1(fn_cell_25(X1))
        & tangible_entity_1(fn_cell_26(X1))
        & phospholipid_bilayer_1(fn_cell_26(X1))
        & surface_1(fn_cell_27(X1))
        & cytoplasmic_side_1(fn_cell_27(X1))
        & mixture_1(fn_cell_28(X1))
        & cytoplasm_1(fn_cell_28(X1))
        & substance_1(fn_cell_29(X1))
        & cytosol_1(fn_cell_29(X1))
        & plasma_membrane_1(fn_cell_30(X1))
        & cell_1(fn_cytoplasm_7(fn_cell_28(X1)))
        & cytoplasm_1(fn_cytoplasmic_side_1(fn_cell_27(X1)))
        & substance_1(fn_mixture_1(fn_cell_28(X1)))
        & cytosol_1(fn_cytoplasm_8(fn_cell_28(X1)))
        & tangible_entity_1(fn_biomembrane_63(fn_cell_30(X1)))
        & phospholipid_bilayer_1(fn_biomembrane_63(fn_cell_30(X1)))
        & tangible_entity_1(fn_plasma_membrane_71(fn_cell_30(X1)))
        & phospholipid_bilayer_1(fn_plasma_membrane_71(fn_cell_30(X1)))
        & surface_1(fn_biomembrane_47(fn_cell_30(X1)))
        & cytoplasmic_side_1(fn_plasma_membrane_66(fn_cell_30(X1)))
        & is_across_2(fn_cell_21(X1),fn_cell_30(X1))
        & shape_2(X1,fn_cell_5(X1))
        & specific_surface_area_2(X1,fn_cell_7(X1))
        & size_2(X1,fn_cell_11(X1))
        & structural_complexity_2(X1,fn_cell_13(X1))
        & diameter_2(X1,fn_cell_18(X1))
        & volume_2(X1,fn_cell_22(X1))
        & exactCardinality(X1,has_region_0,"2",cell_pole_0)
        & has_region_2(X1,fn_cell_1(X1))
        & has_region_2(X1,fn_cell_4(X1))
        & minCardinality(X1,has_part_0,"1",chromosome_0)
        & has_part_2(X1,fn_cell_2(X1))
        & has_part_2(X1,fn_cell_25(X1))
        & has_part_2(X1,fn_cell_24(X1))
        & has_part_2(X1,fn_cell_8(X1))
        & has_part_2(X1,fn_cell_14(X1))
        & has_part_2(X1,fn_cell_30(X1))
        & is_inside_2(fn_cell_28(X1),fn_cell_30(X1))
        & has_part_2(fn_cell_28(X1),fn_cell_9(X1))
        & the_cardinal_value_2(fn_cell_20(X1),"100.0e0")
        & cardinal_unit_class_2(fn_cell_20(X1),micrometer_0)
        & greater_than_or_equal_to_2(fn_cell_20(X1),fn_cell_18(X1))
        & the_cardinal_value_2(fn_cell_19(X1),"0.1e0")
        & cardinal_unit_class_2(fn_cell_19(X1),micrometer_0)
        & greater_than_or_equal_to_2(fn_cell_18(X1),fn_cell_19(X1))
        & is_inside_2(fn_cell_14(X1),fn_cell_29(X1))
        & the_scalar_value_2(fn_cell_13(X1),simple_0)
        & scalar_unit_class_2(fn_cell_13(X1),organism_0)
        & directly_proportional_2(fn_cell_11(X1),fn_cell_22(X1))
        & is_oriented_toward_2(fn_cell_27(X1),fn_cell_28(X1))
        & is_at_2(fn_cell_26(X1),fn_cell_4(X1))
        & has_part_2(X1,fn_cell_28(X1))
        & has_part_2(fn_cell_28(X1),fn_cell_29(X1))
        & has_region_2(fn_cell_30(X1),fn_cell_27(X1))
        & has_part_2(fn_cell_30(X1),fn_cell_26(X1))
        & is_facing_2(fn_cell_27(X1),fn_cell_28(X1))
        & X1 = fn_cytoplasm_7(fn_cell_28(X1))
        & fn_cell_29(X1) = fn_mixture_1(fn_cell_28(X1))
        & fn_cell_29(X1) = fn_cytoplasm_8(fn_cell_28(X1))
        & fn_cell_27(X1) = fn_biomembrane_47(fn_cell_30(X1))
        & fn_cell_27(X1) = fn_plasma_membrane_66(fn_cell_30(X1))
        & fn_cell_26(X1) = fn_biomembrane_63(fn_cell_30(X1))
        & fn_cell_26(X1) = fn_plasma_membrane_71(fn_cell_30(X1))
        & fn_cell_28(X1) = fn_cytoplasmic_side_1(fn_cell_27(X1))
        & fn_mixture_1(fn_cell_28(X1)) = fn_cytoplasm_8(fn_cell_28(X1))
        & fn_cytoplasm_8(fn_cell_28(X1)) = fn_biomembrane_63(fn_cell_30(X1))
        & fn_biomembrane_63(fn_cell_30(X1)) = fn_plasma_membrane_71(fn_cell_30(X1))
        & fn_plasma_membrane_71(fn_cell_30(X1)) = fn_biomembrane_47(fn_cell_30(X1))
        & fn_biomembrane_47(fn_cell_30(X1)) = fn_plasma_membrane_66(fn_cell_30(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BIO001+0.ax',a528132) ).

fof(a_cell,axiom,
    cell_1(a_cell),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_cell) ).

fof(c_0_3,negated_conjecture,
    ~ cytoskeleton_1(fn_cell_2(a_cell)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[ask])]) ).

fof(c_0_4,plain,
    ! [X16313] :
      ( ( original_name_2(X16313,'Cell')
        | ~ cell_1(X16313) )
      & ( description_2(X16313,'The basic unit from which living organisms are made, consisting of an aqueous solution of organic molecules enclosed by a membrane.  All cells arise from existing cells, usually by a process of division into two.  (Alberts:ECB:G-3).')
        | ~ cell_1(X16313) )
      & ( user_description_2(X16313,'The basic unit from which living organisms are made.')
        | ~ cell_1(X16313) )
      & ( concept2words_2(X16313,cell)
        | ~ cell_1(X16313) )
      & ( living_entity_1(X16313)
        | ~ cell_1(X16313) )
      & ( cell_pole_1(fn_cell_1(X16313))
        | ~ cell_1(X16313) )
      & ( cytoskeleton_1(fn_cell_2(X16313))
        | ~ cell_1(X16313) )
      & ( surface_1(fn_cell_4(X16313))
        | ~ cell_1(X16313) )
      & ( shape_value_1(fn_cell_5(X16313))
        | ~ cell_1(X16313) )
      & ( specific_surface_area_value_1(fn_cell_7(X16313))
        | ~ cell_1(X16313) )
      & ( motor_protein_1(fn_cell_8(X16313))
        | ~ cell_1(X16313) )
      & ( protein_enzyme_1(fn_cell_9(X16313))
        | ~ cell_1(X16313) )
      & ( size_value_1(fn_cell_11(X16313))
        | ~ cell_1(X16313) )
      & ( structural_complexity_value_1(fn_cell_13(X16313))
        | ~ cell_1(X16313) )
      & ( ribosome_1(fn_cell_14(X16313))
        | ~ cell_1(X16313) )
      & ( length_value_1(fn_cell_18(X16313))
        | ~ cell_1(X16313) )
      & ( length_value_1(fn_cell_19(X16313))
        | ~ cell_1(X16313) )
      & ( length_value_1(fn_cell_20(X16313))
        | ~ cell_1(X16313) )
      & ( membrane_potential_1(fn_cell_21(X16313))
        | ~ cell_1(X16313) )
      & ( volume_value_1(fn_cell_22(X16313))
        | ~ cell_1(X16313) )
      & ( genome_1(fn_cell_24(X16313))
        | ~ cell_1(X16313) )
      & ( chromosome_1(fn_cell_25(X16313))
        | ~ cell_1(X16313) )
      & ( tangible_entity_1(fn_cell_26(X16313))
        | ~ cell_1(X16313) )
      & ( phospholipid_bilayer_1(fn_cell_26(X16313))
        | ~ cell_1(X16313) )
      & ( surface_1(fn_cell_27(X16313))
        | ~ cell_1(X16313) )
      & ( cytoplasmic_side_1(fn_cell_27(X16313))
        | ~ cell_1(X16313) )
      & ( mixture_1(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( cytoplasm_1(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( substance_1(fn_cell_29(X16313))
        | ~ cell_1(X16313) )
      & ( cytosol_1(fn_cell_29(X16313))
        | ~ cell_1(X16313) )
      & ( plasma_membrane_1(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( cell_1(fn_cytoplasm_7(fn_cell_28(X16313)))
        | ~ cell_1(X16313) )
      & ( cytoplasm_1(fn_cytoplasmic_side_1(fn_cell_27(X16313)))
        | ~ cell_1(X16313) )
      & ( substance_1(fn_mixture_1(fn_cell_28(X16313)))
        | ~ cell_1(X16313) )
      & ( cytosol_1(fn_cytoplasm_8(fn_cell_28(X16313)))
        | ~ cell_1(X16313) )
      & ( tangible_entity_1(fn_biomembrane_63(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( phospholipid_bilayer_1(fn_biomembrane_63(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( tangible_entity_1(fn_plasma_membrane_71(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( phospholipid_bilayer_1(fn_plasma_membrane_71(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( surface_1(fn_biomembrane_47(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( cytoplasmic_side_1(fn_plasma_membrane_66(fn_cell_30(X16313)))
        | ~ cell_1(X16313) )
      & ( is_across_2(fn_cell_21(X16313),fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( shape_2(X16313,fn_cell_5(X16313))
        | ~ cell_1(X16313) )
      & ( specific_surface_area_2(X16313,fn_cell_7(X16313))
        | ~ cell_1(X16313) )
      & ( size_2(X16313,fn_cell_11(X16313))
        | ~ cell_1(X16313) )
      & ( structural_complexity_2(X16313,fn_cell_13(X16313))
        | ~ cell_1(X16313) )
      & ( diameter_2(X16313,fn_cell_18(X16313))
        | ~ cell_1(X16313) )
      & ( volume_2(X16313,fn_cell_22(X16313))
        | ~ cell_1(X16313) )
      & ( exactCardinality(X16313,has_region_0,"2",cell_pole_0)
        | ~ cell_1(X16313) )
      & ( has_region_2(X16313,fn_cell_1(X16313))
        | ~ cell_1(X16313) )
      & ( has_region_2(X16313,fn_cell_4(X16313))
        | ~ cell_1(X16313) )
      & ( minCardinality(X16313,has_part_0,"1",chromosome_0)
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_2(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_25(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_24(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_8(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_14(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( is_inside_2(fn_cell_28(X16313),fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(fn_cell_28(X16313),fn_cell_9(X16313))
        | ~ cell_1(X16313) )
      & ( the_cardinal_value_2(fn_cell_20(X16313),"100.0e0")
        | ~ cell_1(X16313) )
      & ( cardinal_unit_class_2(fn_cell_20(X16313),micrometer_0)
        | ~ cell_1(X16313) )
      & ( greater_than_or_equal_to_2(fn_cell_20(X16313),fn_cell_18(X16313))
        | ~ cell_1(X16313) )
      & ( the_cardinal_value_2(fn_cell_19(X16313),"0.1e0")
        | ~ cell_1(X16313) )
      & ( cardinal_unit_class_2(fn_cell_19(X16313),micrometer_0)
        | ~ cell_1(X16313) )
      & ( greater_than_or_equal_to_2(fn_cell_18(X16313),fn_cell_19(X16313))
        | ~ cell_1(X16313) )
      & ( is_inside_2(fn_cell_14(X16313),fn_cell_29(X16313))
        | ~ cell_1(X16313) )
      & ( the_scalar_value_2(fn_cell_13(X16313),simple_0)
        | ~ cell_1(X16313) )
      & ( scalar_unit_class_2(fn_cell_13(X16313),organism_0)
        | ~ cell_1(X16313) )
      & ( directly_proportional_2(fn_cell_11(X16313),fn_cell_22(X16313))
        | ~ cell_1(X16313) )
      & ( is_oriented_toward_2(fn_cell_27(X16313),fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( is_at_2(fn_cell_26(X16313),fn_cell_4(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(X16313,fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(fn_cell_28(X16313),fn_cell_29(X16313))
        | ~ cell_1(X16313) )
      & ( has_region_2(fn_cell_30(X16313),fn_cell_27(X16313))
        | ~ cell_1(X16313) )
      & ( has_part_2(fn_cell_30(X16313),fn_cell_26(X16313))
        | ~ cell_1(X16313) )
      & ( is_facing_2(fn_cell_27(X16313),fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( X16313 = fn_cytoplasm_7(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_29(X16313) = fn_mixture_1(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_29(X16313) = fn_cytoplasm_8(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_27(X16313) = fn_biomembrane_47(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_27(X16313) = fn_plasma_membrane_66(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_26(X16313) = fn_biomembrane_63(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_26(X16313) = fn_plasma_membrane_71(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cell_28(X16313) = fn_cytoplasmic_side_1(fn_cell_27(X16313))
        | ~ cell_1(X16313) )
      & ( fn_mixture_1(fn_cell_28(X16313)) = fn_cytoplasm_8(fn_cell_28(X16313))
        | ~ cell_1(X16313) )
      & ( fn_cytoplasm_8(fn_cell_28(X16313)) = fn_biomembrane_63(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_biomembrane_63(fn_cell_30(X16313)) = fn_plasma_membrane_71(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_plasma_membrane_71(fn_cell_30(X16313)) = fn_biomembrane_47(fn_cell_30(X16313))
        | ~ cell_1(X16313) )
      & ( fn_biomembrane_47(fn_cell_30(X16313)) = fn_plasma_membrane_66(fn_cell_30(X16313))
        | ~ cell_1(X16313) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a528132])])]) ).

cnf(c_0_5,negated_conjecture,
    ~ cytoskeleton_1(fn_cell_2(a_cell)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( cytoskeleton_1(fn_cell_2(X1))
    | ~ cell_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    cell_1(a_cell),
    inference(split_conjunct,[status(thm)],[a_cell]) ).

cnf(c_0_8,negated_conjecture,
    ~ cell_1(a_cell),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,plain,
    $false,
    inference(sr,[status(thm)],[c_0_7,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BIO003+1 : TPTP v9.2.1. Bugfixed v6.4.1.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n004.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 10:44:50 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 42.62/50.83  % Warning 104: No lemmas were extracted from the log file '/export/starexec/sandbox/solver/bin/output/initial_lemmas_CSE.log'. Continuing with baseline prover only.
% 67.10/75.78  % Version  : CSE_E---1.7
% 67.10/75.78  % Problem  : theBenchmark.p
% 67.10/75.78  % SZS status Theorem for theBenchmark.p
% 67.10/75.78  % SZS output start CNFRefutation
% See solution above
% 67.30/75.99  % Total time : 66.827s
%------------------------------------------------------------------------------