%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 92.56s 12.99s
% Output : CNFRefutation 54.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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(f4303,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4485,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(f14429,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(f14430,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(f36134,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f49610,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f4303]) ).
fof(f49836,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)],[f4485]) ).
fof(f49837,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)],[f49836]) ).
fof(f62332,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)],[f14429]) ).
fof(f62333,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)],[f62332]) ).
fof(f62334,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f14430]) ).
fof(f94503,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(pre_NNF_transformation,[status(thm)],[f36134]) ).
fof(f94504,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[status(thm)],[f94503]) ).
fof(f110738,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
( ! [X] :
( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(miniscoping,[status(thm)],[f110738]) ).
fof(f110741,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110985,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)],[f49837,f49610]) ).
fof(f110986,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)],[f62333,f49610]) ).
fof(f110991,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)],[f110985,f62334]) ).
fof(f110992,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)],[f110991,f94504]) ).
fof(f110995,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)],[f110992,f110741]) ).
fof(f110997,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f110995,f110986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 14:27:51 UTC 2026
% 0.10/0.35 % CPUTime :
% 1.06/1.32 % Drodi V4.1.1
% 92.56/12.99 % Refutation found
% 92.56/12.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 92.56/12.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.71/13.41 % Elapsed time: 13.005821 seconds
% 3.71/13.41 % CPU time: 94.248293 seconds
% 3.71/13.41 % Total memory used: 2.094 GB
% 3.71/13.41 % Net memory used: 2.088 GB
%------------------------------------------------------------------------------