↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MED001+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 04:47:00 PM UTC 2026

% Result   : Theorem 1.62s 1.81s
% Output   : CNFRefutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   36 (   6 unt;   0 def)
%            Number of atoms       :  161 (   0 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  190 (  65   ~;  80   |;  23   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   50 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sulfonylurea_effect,axiom,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => drugsu(X5) )
        & ~ bcapacityex(X4) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => bsecretioni(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',sulfonylurea_effect) ).

fof(treatmentsn2,conjecture,
    ( ( ! [X4] :
          ( ~ gt(n0,X4)
         => drugsu(X4) )
      & ! [X4] :
          ( gt(n0,X4)
         => conditionhyper(X4) )
      & bcapacitysn(n0)
      & qilt27(n0) )
   => ! [X4] :
        ( ~ gt(n0,X4)
       => conditionnormo(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentsn2) ).

fof(sn_cure_1,axiom,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => bsecretioni(X5) )
        & bcapacitysn(X4)
        & qilt27(X4)
        & ! [X5] :
            ( gt(X4,X5)
           => conditionhyper(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => conditionnormo(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',sn_cure_1) ).

fof(xorcapacity4,axiom,
    ! [X4] :
      ( ~ bcapacityex(X4)
      | ~ bcapacitysn(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcapacity4) ).

fof(c_0_4,plain,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => drugsu(X5) )
        & ~ bcapacityex(X4) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => bsecretioni(X5) ) ),
    inference(fof_simplification,[status(thm)],[sulfonylurea_effect]) ).

fof(c_0_5,negated_conjecture,
    ~ ( ( ! [X4] :
            ( ~ gt(n0,X4)
           => drugsu(X4) )
        & ! [X4] :
            ( gt(n0,X4)
           => conditionhyper(X4) )
        & bcapacitysn(n0)
        & qilt27(n0) )
     => ! [X4] :
          ( ~ gt(n0,X4)
         => conditionnormo(X4) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[treatmentsn2])]) ).

fof(c_0_6,plain,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => bsecretioni(X5) )
        & bcapacitysn(X4)
        & qilt27(X4)
        & ! [X5] :
            ( gt(X4,X5)
           => conditionhyper(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => conditionnormo(X5) ) ),
    inference(fof_simplification,[status(thm)],[sn_cure_1]) ).

fof(c_0_7,plain,
    ! [X68,X70] :
      ( ( ~ gt(X68,esk2_1(X68))
        | bcapacityex(X68)
        | gt(X68,X70)
        | bsecretioni(X70) )
      & ( ~ drugsu(esk2_1(X68))
        | bcapacityex(X68)
        | gt(X68,X70)
        | bsecretioni(X70) ) ),
    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_4])])])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X93,X94] :
      ( ( gt(n0,X93)
        | drugsu(X93) )
      & ( ~ gt(n0,X94)
        | conditionhyper(X94) )
      & bcapacitysn(n0)
      & qilt27(n0)
      & ~ gt(n0,esk15_0)
      & ~ conditionnormo(esk15_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

fof(c_0_9,plain,
    ! [X74,X77] :
      ( ( gt(X74,esk5_1(X74))
        | ~ gt(X74,esk4_1(X74))
        | ~ bcapacitysn(X74)
        | ~ qilt27(X74)
        | gt(X74,X77)
        | conditionnormo(X77) )
      & ( ~ conditionhyper(esk5_1(X74))
        | ~ gt(X74,esk4_1(X74))
        | ~ bcapacitysn(X74)
        | ~ qilt27(X74)
        | gt(X74,X77)
        | conditionnormo(X77) )
      & ( gt(X74,esk5_1(X74))
        | ~ bsecretioni(esk4_1(X74))
        | ~ bcapacitysn(X74)
        | ~ qilt27(X74)
        | gt(X74,X77)
        | conditionnormo(X77) )
      & ( ~ conditionhyper(esk5_1(X74))
        | ~ bsecretioni(esk4_1(X74))
        | ~ bcapacitysn(X74)
        | ~ qilt27(X74)
        | gt(X74,X77)
        | conditionnormo(X77) ) ),
    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_6])])])])]) ).

cnf(c_0_10,plain,
    ( bcapacityex(X1)
    | gt(X1,X2)
    | bsecretioni(X2)
    | ~ gt(X1,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( gt(n0,X1)
    | drugsu(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( bcapacityex(X1)
    | gt(X1,X2)
    | bsecretioni(X2)
    | ~ drugsu(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ~ gt(n0,esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | ~ conditionhyper(esk5_1(X1))
    | ~ bsecretioni(esk4_1(X1))
    | ~ bcapacitysn(X1)
    | ~ qilt27(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    qilt27(n0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    bcapacitysn(n0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ~ conditionnormo(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,plain,
    ( gt(X1,X2)
    | conditionnormo(X2)
    | ~ conditionhyper(esk5_1(X1))
    | ~ gt(X1,esk4_1(X1))
    | ~ bcapacitysn(X1)
    | ~ qilt27(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_19,negated_conjecture,
    ( bsecretioni(X1)
    | bcapacityex(n0)
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ bsecretioni(esk4_1(n0))
    | ~ conditionhyper(esk5_1(n0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).

cnf(c_0_21,plain,
    ( gt(X1,esk5_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | ~ gt(X1,esk4_1(X1))
    | ~ bcapacitysn(X1)
    | ~ qilt27(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,negated_conjecture,
    ( conditionnormo(X1)
    | bcapacityex(n0)
    | gt(n0,X1)
    | ~ conditionhyper(esk5_1(n0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]),c_0_16])]),c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ( conditionhyper(X1)
    | ~ gt(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    ( bsecretioni(esk4_1(n0))
    | conditionnormo(X1)
    | bcapacityex(n0)
    | gt(n0,esk5_1(n0))
    | gt(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_15]),c_0_16])]) ).

cnf(c_0_25,negated_conjecture,
    ( bcapacityex(n0)
    | ~ conditionhyper(esk5_1(n0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_22]),c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    ( bsecretioni(esk4_1(n0))
    | conditionnormo(X1)
    | bcapacityex(n0)
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_27,plain,
    ( gt(X1,esk5_1(X1))
    | gt(X1,X2)
    | conditionnormo(X2)
    | ~ bsecretioni(esk4_1(X1))
    | ~ bcapacitysn(X1)
    | ~ qilt27(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_28,negated_conjecture,
    ( bsecretioni(esk4_1(n0))
    | bcapacityex(n0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_26]),c_0_17]) ).

fof(c_0_29,plain,
    ! [X4] :
      ( ~ bcapacityex(X4)
      | ~ bcapacitysn(X4) ),
    inference(fof_simplification,[status(thm)],[xorcapacity4]) ).

cnf(c_0_30,negated_conjecture,
    ( conditionnormo(X1)
    | bcapacityex(n0)
    | gt(n0,esk5_1(n0))
    | gt(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15]),c_0_16])]) ).

fof(c_0_31,plain,
    ! [X58] :
      ( ~ bcapacityex(X58)
      | ~ bcapacitysn(X58) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( conditionnormo(X1)
    | bcapacityex(n0)
    | gt(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_25]) ).

cnf(c_0_33,plain,
    ( ~ bcapacityex(X1)
    | ~ bcapacitysn(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    bcapacityex(n0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_32]),c_0_17]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MED001+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n004.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 23:24:02 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.62/1.81  % Version  : CSE_E---1.7
% 1.62/1.81  % Problem  : theBenchmark.p
% 1.62/1.81  % SZS status Theorem for theBenchmark.p
% 1.62/1.81  % SZS output start CNFRefutation
% See solution above
% 1.62/1.81  % Total time : 1.374s
%------------------------------------------------------------------------------