%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:14:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 14:25:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![A,B,C]: (ifeq3(A,A,B,C) = B ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (![PRED,INDEPCOL,DEPCOL,TERM]: (ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,axiom,(
% 0.13/0.37 genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f15,axiom,(
% 0.13/0.37 (![TERM]: (ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,axiom,(
% 0.13/0.37 ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,axiom,(
% 0.13/0.37 isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f36,axiom,(
% 0.13/0.37 (![X]: (ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f65,axiom,(
% 0.13/0.37 (![SPECMT,GENLMT]: (ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f82,negated_conjecture,(
% 0.13/0.37 mtvisible(c_tptp_spindlecollectormt) = true ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f84,negated_conjecture,(
% 0.13/0.37 (![X]: (ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f85,negated_conjecture,(
% 0.13/0.37 a != b ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![X0,X1,X2]: (ifeq3(X0,X0,X1,X2)=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true)=true)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f97,plain,(
% 0.13/0.37 genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)=true),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ![X0]: (ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true)=true)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f101,plain,(
% 0.13/0.37 ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true)=true),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))=true),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.37 fof(f121,plain,(
% 0.13/0.37 ![X0]: (ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true)=true)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.37 fof(f150,plain,(
% 0.13/0.37 ![X0,X1]: (ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true)=true)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.37 fof(f167,plain,(
% 0.13/0.37 mtvisible(c_tptp_spindlecollectormt)=true),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f82])).
% 0.13/0.37 fof(f169,plain,(
% 0.13/0.37 ![X0]: (ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b)=b)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f84])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 ~a=b),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f85])).
% 0.13/0.37 fof(f172,plain,(
% 0.13/0.37 ifeq3(true,true,ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),true)=true),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f97,f150])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true)=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f172])).
% 0.13/0.37 fof(f176,plain,(
% 0.13/0.37 ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true)=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f167,f175])).
% 0.13/0.37 fof(f177,plain,(
% 0.13/0.37 ifeq3(true,true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true)=true),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f179,f101])).
% 0.13/0.37 fof(f178,plain,(
% 0.13/0.37 ![X0]: (ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true)=true)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f179,f100])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 mtvisible(c_tptp_member2610_mt)=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f176])).
% 0.13/0.37 fof(f181,plain,(
% 0.13/0.37 relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f177])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ![X0]: (ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true)=true)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f178])).
% 0.13/0.37 fof(f193,plain,(
% 0.13/0.37 ifeq3(true,true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true)=true),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f102,f182])).
% 0.13/0.37 fof(f194,plain,(
% 0.13/0.37 tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f193])).
% 0.13/0.37 fof(f279,plain,(
% 0.13/0.37 ![X0]: (ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),true)=true)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f181,f89])).
% 0.13/0.37 fof(f281,plain,(
% 0.13/0.37 ![X0]: (ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true)=true)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f279])).
% 0.13/0.37 fof(f284,plain,(
% 0.13/0.37 ifeq2(tuple2(true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))),tuple2(true,true),a,b)=b),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f194,f169])).
% 0.13/0.37 fof(f351,plain,(
% 0.13/0.37 ifeq3(true,true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true)=true),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f102,f281])).
% 0.13/0.37 fof(f353,plain,(
% 0.13/0.37 isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f351])).
% 0.13/0.37 fof(f729,plain,(
% 0.13/0.37 ifeq3(true,true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true)=true),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f353,f121])).
% 0.13/0.37 fof(f737,plain,(
% 0.13/0.37 ifeq2(tuple2(true,true),tuple2(true,true),a,b)=b),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f738,f284])).
% 0.13/0.37 fof(f738,plain,(
% 0.13/0.37 tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))=true),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f86,f729])).
% 0.13/0.37 fof(f742,plain,(
% 0.13/0.37 a=b),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f87,f737])).
% 0.13/0.37 fof(f743,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f742,f170])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.028185 seconds
% 0.13/0.39 % CPU time: 0.065754 seconds
% 0.13/0.39 % Total memory used: 4.455 MB
% 0.13/0.39 % Net memory used: 4.446 MB
%------------------------------------------------------------------------------