%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq4(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [PRED,DEPCOL,INDEPCOL,TERM] : ifeq4(relationexistsall(PRED,DEPCOL,INDEPCOL),true,ifeq4(isa(TERM,INDEPCOL),true,isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f245,axiom,
! [TERM] : ifeq4(isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f246,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f670,axiom,
! [X] : ifeq4(isa(X,c_tptpcol_16_7738),true,tptpcol_16_7738(X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1137,negated_conjecture,
! [X] : ifeq2(tuple2(tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1138,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1139,plain,
! [X0,X1,X2] : ifeq4(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f1141,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f1205,plain,
! [X0,X1,X2,X3] : ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f1275,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f1383,plain,
! [X0] : ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true) = true,
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f1384,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f1808,plain,
! [X0] : ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f2275,plain,
! [X0] : ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b) = b,
inference(cnf_transformation,[status(thm)],[f1137]) ).
fof(f2276,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f1138]) ).
fof(f2563,plain,
! [X0,X1] : ifeq4(relationexistsall(X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,ifeq4(true,true,isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1),true),true) = true,
inference(paramodulation,[status(thm)],[f1275,f1205]) ).
fof(f2564,plain,
! [X0,X1] : ifeq4(relationexistsall(X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1),true) = true,
inference(forward_demodulation,[status(thm)],[f1139,f2563]) ).
fof(f3133,plain,
ifeq4(true,true,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),true) = true,
inference(paramodulation,[status(thm)],[f1275,f1383]) ).
fof(f3134,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) = true,
inference(forward_demodulation,[status(thm)],[f1139,f3133]) ).
fof(f3135,plain,
ifeq4(true,true,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),true) = true,
inference(paramodulation,[status(thm)],[f1384,f2564]) ).
fof(f3137,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) = true,
inference(forward_demodulation,[status(thm)],[f1139,f3135]) ).
fof(f3141,plain,
ifeq2(tuple2(true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))),tuple2(true,true),a,b) = b,
inference(paramodulation,[status(thm)],[f3134,f2275]) ).
fof(f3148,plain,
ifeq4(true,true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),true) = true,
inference(paramodulation,[status(thm)],[f3137,f1808]) ).
fof(f3154,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))) = true,
inference(forward_demodulation,[status(thm)],[f1139,f3148]) ).
fof(f3156,plain,
ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
inference(backward_demodulation,[status(thm)],[f3154,f3141]) ).
fof(f3160,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f1141,f3156]) ).
fof(f3161,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3160,f2276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:29:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.46 % Elapsed time: 0.095935 seconds
% 0.12/0.46 % CPU time: 0.270006 seconds
% 0.12/0.46 % Total memory used: 34.927 MB
% 0.12/0.46 % Net memory used: 34.848 MB
%------------------------------------------------------------------------------