TSTP Solution File: MED003+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MED003+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 : Thu Aug 31 09:05:58 EDT 2023

% Result   : Theorem 0.15s 0.78s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   78 (   7 unt;  31 typ;   0 def)
%            Number of atoms       :  271 (   0 equ)
%            Maximal formula atoms :   56 (   5 avg)
%            Number of connectives :  330 ( 106   ~; 173   |;  27   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  29   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-1 aty)
%            Number of variables   :   68 (   0 sgn;  28   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    gt: ( $i * $i ) > $o ).

tff(decl_23,type,
    bcapacityne: $i > $o ).

tff(decl_24,type,
    bcapacityex: $i > $o ).

tff(decl_25,type,
    bcapacitysn: $i > $o ).

tff(decl_26,type,
    conditionhyper: $i > $o ).

tff(decl_27,type,
    conditionhypo: $i > $o ).

tff(decl_28,type,
    conditionnormo: $i > $o ).

tff(decl_29,type,
    drugi: $i > $o ).

tff(decl_30,type,
    uptakelg: $i > $o ).

tff(decl_31,type,
    uptakepg: $i > $o ).

tff(decl_32,type,
    releaselg: $i > $o ).

tff(decl_33,type,
    drugsu: $i > $o ).

tff(decl_34,type,
    bsecretioni: $i > $o ).

tff(decl_35,type,
    drugbg: $i > $o ).

tff(decl_36,type,
    qilt27: $i > $o ).

tff(decl_37,type,
    n0: $i ).

tff(decl_38,type,
    esk1_1: $i > $i ).

tff(decl_39,type,
    esk2_1: $i > $i ).

tff(decl_40,type,
    esk3_1: $i > $i ).

tff(decl_41,type,
    esk4_1: $i > $i ).

tff(decl_42,type,
    esk5_1: $i > $i ).

tff(decl_43,type,
    esk6_1: $i > $i ).

tff(decl_44,type,
    esk7_1: $i > $i ).

tff(decl_45,type,
    esk8_1: $i > $i ).

tff(decl_46,type,
    esk9_1: $i > $i ).

tff(decl_47,type,
    esk10_1: $i > $i ).

tff(decl_48,type,
    esk11_1: $i > $i ).

tff(decl_49,type,
    esk12_1: $i > $i ).

tff(decl_50,type,
    esk13_1: $i > $i ).

tff(decl_51,type,
    esk14_1: $i > $i ).

tff(decl_52,type,
    esk15_0: $i ).

fof(insulin_effect,axiom,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => drugi(X5) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => ( uptakelg(X5)
            & uptakepg(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',insulin_effect) ).

fof(treatmentex,conjecture,
    ( ( ! [X4] :
          ( ~ gt(n0,X4)
         => drugi(X4) )
      & ! [X4] :
          ( gt(n0,X4)
         => conditionhyper(X4) )
      & bcapacityex(n0) )
   => ! [X4] :
        ( ~ gt(n0,X4)
       => ( conditionnormo(X4)
          | conditionhypo(X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentex) ).

fof(ex_cure,axiom,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => uptakelg(X5) )
        & ! [X5] :
            ( ~ gt(X4,X5)
           => uptakepg(X5) )
        & bcapacityex(X4)
        & ! [X5] :
            ( gt(X4,X5)
           => conditionhyper(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => ( conditionnormo(X5)
            | conditionhypo(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',ex_cure) ).

fof(c_0_3,plain,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => drugi(X5) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => ( uptakelg(X5)
            & uptakepg(X5) ) ) ),
    inference(fof_simplification,[status(thm)],[insulin_effect]) ).

fof(c_0_4,negated_conjecture,
    ~ ( ( ! [X4] :
            ( ~ gt(n0,X4)
           => drugi(X4) )
        & ! [X4] :
            ( gt(n0,X4)
           => conditionhyper(X4) )
        & bcapacityex(n0) )
     => ! [X4] :
          ( ~ gt(n0,X4)
         => ( conditionnormo(X4)
            | conditionhypo(X4) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[treatmentex])]) ).

fof(c_0_5,plain,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => uptakelg(X5) )
        & ! [X5] :
            ( ~ gt(X4,X5)
           => uptakepg(X5) )
        & bcapacityex(X4)
        & ! [X5] :
            ( gt(X4,X5)
           => conditionhyper(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => ( conditionnormo(X5)
            | conditionhypo(X5) ) ) ),
    inference(fof_simplification,[status(thm)],[ex_cure]) ).

fof(c_0_6,plain,
    ! [X18,X20] :
      ( ( uptakelg(X20)
        | gt(X18,X20)
        | ~ gt(X18,esk1_1(X18)) )
      & ( uptakepg(X20)
        | gt(X18,X20)
        | ~ gt(X18,esk1_1(X18)) )
      & ( uptakelg(X20)
        | gt(X18,X20)
        | ~ drugi(esk1_1(X18)) )
      & ( uptakepg(X20)
        | gt(X18,X20)
        | ~ drugi(esk1_1(X18)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_7,negated_conjecture,
    ! [X48,X49] :
      ( ( gt(n0,X48)
        | drugi(X48) )
      & ( ~ gt(n0,X49)
        | conditionhyper(X49) )
      & bcapacityex(n0)
      & ~ gt(n0,esk15_0)
      & ~ conditionnormo(esk15_0)
      & ~ conditionhypo(esk15_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_8,plain,
    ! [X43,X47] :
      ( ( gt(X43,esk14_1(X43))
        | ~ gt(X43,esk13_1(X43))
        | ~ gt(X43,esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( ~ conditionhyper(esk14_1(X43))
        | ~ gt(X43,esk13_1(X43))
        | ~ gt(X43,esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( gt(X43,esk14_1(X43))
        | ~ uptakepg(esk13_1(X43))
        | ~ gt(X43,esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( ~ conditionhyper(esk14_1(X43))
        | ~ uptakepg(esk13_1(X43))
        | ~ gt(X43,esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( gt(X43,esk14_1(X43))
        | ~ gt(X43,esk13_1(X43))
        | ~ uptakelg(esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( ~ conditionhyper(esk14_1(X43))
        | ~ gt(X43,esk13_1(X43))
        | ~ uptakelg(esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( gt(X43,esk14_1(X43))
        | ~ uptakepg(esk13_1(X43))
        | ~ uptakelg(esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) )
      & ( ~ conditionhyper(esk14_1(X43))
        | ~ uptakepg(esk13_1(X43))
        | ~ uptakelg(esk12_1(X43))
        | ~ bcapacityex(X43)
        | gt(X43,X47)
        | conditionnormo(X47)
        | conditionhypo(X47) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

cnf(c_0_9,plain,
    ( uptakepg(X1)
    | gt(X2,X1)
    | ~ gt(X2,esk1_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( gt(n0,X1)
    | drugi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( uptakepg(X1)
    | gt(X2,X1)
    | ~ drugi(esk1_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ~ gt(n0,esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ conditionhyper(esk14_1(X1))
    | ~ uptakepg(esk13_1(X1))
    | ~ uptakelg(esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    bcapacityex(n0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ~ conditionnormo(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    ~ conditionhypo(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ conditionhyper(esk14_1(X1))
    | ~ gt(X1,esk13_1(X1))
    | ~ uptakelg(esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ( uptakepg(X1)
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ uptakepg(esk13_1(n0))
    | ~ uptakelg(esk12_1(n0))
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),c_0_16]) ).

cnf(c_0_20,plain,
    ( uptakelg(X1)
    | gt(X2,X1)
    | ~ gt(X2,esk1_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    ( uptakelg(X1)
    | gt(X2,X1)
    | ~ drugi(esk1_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1)
    | ~ uptakelg(esk12_1(n0))
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14])]),c_0_19]) ).

cnf(c_0_23,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ conditionhyper(esk14_1(X1))
    | ~ uptakepg(esk13_1(X1))
    | ~ gt(X1,esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    ( uptakelg(X1)
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ uptakelg(esk12_1(n0))
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_15]),c_0_16]) ).

cnf(c_0_26,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ conditionhyper(esk14_1(X1))
    | ~ gt(X1,esk13_1(X1))
    | ~ gt(X1,esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1)
    | ~ uptakepg(esk13_1(n0))
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14])]),c_0_25]) ).

cnf(c_0_28,plain,
    ( gt(X1,esk14_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ gt(X1,esk13_1(X1))
    | ~ gt(X1,esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_29,plain,
    ( gt(X1,esk14_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ gt(X1,esk13_1(X1))
    | ~ uptakelg(esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_30,negated_conjecture,
    ( uptakepg(esk13_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1)
    | ~ conditionhyper(esk14_1(n0))
    | ~ gt(n0,esk12_1(n0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_14])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ uptakepg(esk13_1(n0))
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_27]),c_0_15]),c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    ( uptakepg(esk13_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1)
    | ~ gt(n0,esk12_1(n0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_14])]) ).

cnf(c_0_33,negated_conjecture,
    ( uptakepg(esk13_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1)
    | ~ uptakelg(esk12_1(n0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_14])]) ).

cnf(c_0_34,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1)
    | ~ conditionhyper(esk14_1(n0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25]),c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( conditionhyper(X1)
    | ~ gt(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36,negated_conjecture,
    ( uptakepg(esk13_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ~ conditionhyper(esk14_1(n0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_15]),c_0_16]) ).

cnf(c_0_38,negated_conjecture,
    ( uptakepg(esk13_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_39,plain,
    ( gt(X1,esk14_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ uptakepg(esk13_1(X1))
    | ~ gt(X1,esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,plain,
    ( gt(X1,esk14_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | conditionhypo(X2)
    | ~ uptakepg(esk13_1(X1))
    | ~ uptakelg(esk12_1(X1))
    | ~ bcapacityex(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,negated_conjecture,
    uptakepg(esk13_1(n0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_38]),c_0_15]),c_0_16]) ).

cnf(c_0_42,negated_conjecture,
    ( uptakelg(esk12_1(n0))
    | conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1)
    | ~ uptakepg(esk13_1(n0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_14])]) ).

cnf(c_0_43,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1)
    | ~ uptakelg(esk12_1(n0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_14])]) ).

cnf(c_0_44,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,esk14_1(n0))
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_41])]),c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( conditionnormo(X1)
    | conditionhypo(X1)
    | gt(n0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_45]),c_0_15]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : MED003+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Fri Aug 25 07:36:57 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.15/0.50  start to proof: theBenchmark
% 0.15/0.78  % Version  : CSE_E---1.5
% 0.15/0.78  % Problem  : theBenchmark.p
% 0.15/0.78  % Proof found
% 0.15/0.78  % SZS status Theorem for theBenchmark.p
% 0.15/0.78  % SZS output start Proof
% See solution above
% 0.61/0.78  % Total time : 0.276000 s
% 0.61/0.78  % SZS output end Proof
% 0.61/0.78  % Total time : 0.279000 s
%------------------------------------------------------------------------------