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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:03:52 AM UTC 2026

% Result   : Theorem 111.36s 16.49s
% Output   : CNFRefutation 111.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  15   ~;   9   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   18 (   0 sgn   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax3_4303,axiom,
    isa('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')) ).

fof(ax3_4485,axiom,
    ! [X0,X1,X2,X3] :
      ( ( relationexistsall(X2,X3,X1)
        & isa(X0,X1) )
     => isa('f$urelationexistsallfn'(X0,X2,X3,X1),X3) ) ).

fof(ax3_14429,axiom,
    ! [X0] :
      ( isa(X0,'f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription'))
     => 'tptp$u8$u968'('f$urelationexistsallfn'(X0,'c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')),X0) ) ).

fof(ax3_14430,axiom,
    relationexistsall('c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')) ).

fof(ax3_36134,axiom,
    ! [X0] :
      ( isa(X0,'c$utptpcol$u16$u7738')
     => 'tptpcol$u16$u7738'(X0) ) ).

fof(query188,conjecture,
    ? [X0] :
      ( mtvisible('c$uknowledgefragmentd3mt')
     => ( 'tptpcol$u16$u7738'(X0)
        & 'tptp$u8$u968'(X0,'c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804') ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible('c$uknowledgefragmentd3mt')
       => ( 'tptpcol$u16$u7738'(X0)
          & 'tptp$u8$u968'(X0,'c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804') ) ),
    inference(negate_conjecture,[status(cth)],[query188]) ).

cnf(c2,plain,
    isa('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')),
    inference(clausification,[status(esa)],[ax3_4303]) ).

cnf(c4,plain,
    ( isa('f$urelationexistsallfn'(X0,X2,X3,X1),X3)
    | ~ relationexistsall(X2,X3,X1)
    | ~ isa(X0,X1) ),
    inference(clausification,[status(esa)],[ax3_4485]) ).

cnf(c12,plain,
    ( 'tptp$u8$u968'('f$urelationexistsallfn'(X0,'c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')),X0)
    | ~ isa(X0,'f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')) ),
    inference(clausification,[status(esa)],[ax3_14429]) ).

cnf(c13,plain,
    relationexistsall('c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')),
    inference(clausification,[status(esa)],[ax3_14430]) ).

cnf(c26,plain,
    ( 'tptpcol$u16$u7738'(X0)
    | ~ isa(X0,'c$utptpcol$u16$u7738') ),
    inference(clausification,[status(esa)],[ax3_36134]) ).

cnf(c72,plain,
    ( ~ 'tptpcol$u16$u7738'(X0)
    | ~ 'tptp$u8$u968'(X0,'c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ 'tptpcol$u16$u7738'('f$urelationexistsallfn'('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')))
    | ~ isa('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')) ),
    inference(resolution,[status(thm)],[c12,c72]) ).

cnf(d1,plain,
    ~ 'tptpcol$u16$u7738'('f$urelationexistsallfn'('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription'))),
    inference(resolution,[status(thm)],[c2,d0]) ).

cnf(d2,plain,
    ( ~ relationexistsall(X1,'c$utptpcol$u16$u7738',X2)
    | ~ isa(X0,X2)
    | 'tptpcol$u16$u7738'('f$urelationexistsallfn'(X0,X1,'c$utptpcol$u16$u7738',X2)) ),
    inference(resolution,[status(thm)],[c26,c4]) ).

cnf(d3,plain,
    ( ~ relationexistsall('c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription'))
    | ~ isa('c$utptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription$u2804','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')) ),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ~ relationexistsall('c$utptp$u8$u968','c$utptpcol$u16$u7738','f$usubcollectionofwithrelationtotypefn'('c$uissuingaprescription','c$uproducts','c$ucorrectivelensprescription')),
    inference(resolution,[status(thm)],[c2,d3]) ).

cnf(d5,plain,
    $false,
    inference(resolution,[status(thm)],[c13,d4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n003.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 27 00:10:09 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 111.36/16.49  % SZS status Theorem for theBenchmark.p
% 111.36/16.49  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------