%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.25s 0.57s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 23 ~; 15 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f244,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/sandbox/benchmark/theBenchmark.p') ).
fof(f245,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f673,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1226,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)],[f64]) ).
fof(f1227,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)],[f1226]) ).
fof(f1329,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f1490,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)],[f244]) ).
fof(f1491,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)],[f1490]) ).
fof(f1492,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f2213,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(pre_NNF_transformation,[status(thm)],[f673]) ).
fof(f2214,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[status(thm)],[f2213]) ).
fof(f3204,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
( ! [X] :
( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(miniscoping,[status(thm)],[f3204]) ).
fof(f3207,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[status(thm)],[f3205]) ).
fof(f3226,plain,
! [X0,X1,X2] :
( tptpcol_16_7738(f_relationexistsallfn(X0,X2,c_tptpcol_16_7738,X1))
| ~ relationexistsall(X2,c_tptpcol_16_7738,X1)
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[f1227,f2214]) ).
fof(f3360,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)))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[status(thm)],[f1491,f3207]) ).
fof(f3362,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(forward_subsumption_resolution,[status(thm)],[f3360,f1329]) ).
fof(f3363,plain,
( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[status(thm)],[f3362,f3226]) ).
fof(f3364,plain,
~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(forward_subsumption_resolution,[status(thm)],[f3363,f1329]) ).
fof(f3367,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3364,f1492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n004.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 14:29:38 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.25/0.52 % Drodi V4.1.1
% 0.25/0.57 % Refutation found
% 0.25/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.25/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.63 % Elapsed time: 0.147635 seconds
% 0.25/0.63 % CPU time: 0.291603 seconds
% 0.25/0.63 % Total memory used: 40.301 MB
% 0.25/0.63 % Net memory used: 40.211 MB
%------------------------------------------------------------------------------