%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 : Thu Sep 24 12:13:01 PM UTC 2026
% Result : Theorem 0.49s 0.84s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 12 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [TERM] :
( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f453,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1129,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7785,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8114,plain,
! [TERM] :
( tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM)
| ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(pre_NNF_transformation,[status(thm)],[f85]) ).
fof(f8115,plain,
! [X0] :
( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
| ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(cnf_transformation,[status(thm)],[f8114]) ).
fof(f8116,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f8618,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(pre_NNF_transformation,[status(thm)],[f453]) ).
fof(f8619,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8618]) ).
fof(f9589,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f1129]) ).
fof(f20921,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(pre_NNF_transformation,[status(thm)],[f7785]) ).
fof(f20922,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[status(thm)],[f20921]) ).
fof(f21391,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
( ! [X] :
( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(miniscoping,[status(thm)],[f21391]) ).
fof(f21394,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[status(thm)],[f21392]) ).
fof(f21395,plain,
tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
inference(resolution,[status(thm)],[f9589,f8115]) ).
fof(f21401,plain,
~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
inference(resolution,[status(thm)],[f21395,f21394]) ).
fof(f21584,plain,
! [X0,X1] :
( isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1)
| ~ relationexistsall(X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[status(thm)],[f8619,f9589]) ).
fof(f21585,plain,
isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
inference(resolution,[status(thm)],[f21584,f8116]) ).
fof(f21586,plain,
tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
inference(resolution,[status(thm)],[f21585,f20922]) ).
fof(f21588,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21586,f21401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n003.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 14:31:01 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.41/0.67 % Drodi V4.1.1
% 0.49/0.84 % Refutation found
% 0.49/0.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.49/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.49/0.94 % Elapsed time: 0.508483 seconds
% 0.49/0.94 % CPU time: 1.608136 seconds
% 0.49/0.94 % Total memory used: 390.470 MB
% 0.49/0.94 % Net memory used: 389.919 MB
%------------------------------------------------------------------------------