%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Tue Sep 29 09:42:01 AM UTC 2026
% Result : Unsatisfiable 0.64s 0.97s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 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 : 35 ( 35 usr; 20 con; 0-4 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f5,plain,
! [X2,X3,X0,X1] : true = ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
resultisaarg(c_relationallexistsfn,n_4) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
fof(f7,plain,
true = resultisaarg(c_relationallexistsfn,n_4),
inference(reorient_equations,[],[f6]) ).
fof(f10,axiom,
transitivebinarypredicate(c_genlmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
fof(f11,plain,
true = transitivebinarypredicate(c_genlmt),
inference(reorient_equations,[],[f10]) ).
fof(f16,axiom,
genlmt(c_calendarsvocabularymt,c_basekb) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f17,plain,
true = genlmt(c_calendarsvocabularymt,c_basekb),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f19,plain,
true = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f21,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f23,plain,
true = genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f25,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
! [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,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f27,plain,
! [X0] : true = 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),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
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,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f29,plain,
true = 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),
inference(reorient_equations,[],[f28]) ).
fof(f30,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f31,plain,
true = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
fof(f33,plain,
true = subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
inference(reorient_equations,[],[f32]) ).
fof(f68,axiom,
! [X0] : ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
fof(f69,plain,
! [X0] : true = ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true),
inference(reorient_equations,[],[f68]) ).
fof(f126,axiom,
! [X0,X1] : ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
fof(f127,plain,
! [X0,X1] : true = ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f126]) ).
fof(f156,axiom,
! [X0,X1] : ifeq3(resultisaarg(X0,X1),true,function_denotational(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).
fof(f157,plain,
! [X0,X1] : true = ifeq3(resultisaarg(X0,X1),true,function_denotational(X0),true),
inference(reorient_equations,[],[f156]) ).
fof(f158,axiom,
mtvisible(c_universalvocabularymt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just79) ).
fof(f159,plain,
true = mtvisible(c_universalvocabularymt),
inference(reorient_equations,[],[f158]) ).
fof(f160,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
fof(f161,plain,
true = mtvisible(c_tptp_spindlecollectormt),
inference(reorient_equations,[],[f160]) ).
fof(f164,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27_1) ).
fof(f165,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f164]) ).
fof(f166,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f168,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(mtvisible(c_tptp_spindlecollectormt),mtvisible(c_tptp_spindlecollectormt)),a,b),
inference(backward_demodulation,[],[f165,f161]) ).
fof(f169,plain,
mtvisible(c_universalvocabularymt) = mtvisible(c_tptp_spindlecollectormt),
inference(backward_demodulation,[],[f161,f159]) ).
fof(f170,plain,
! [X0,X1] : mtvisible(c_universalvocabularymt) = ifeq3(resultisaarg(X0,X1),mtvisible(c_universalvocabularymt),function_denotational(X0),mtvisible(c_universalvocabularymt)),
inference(forward_demodulation,[],[f157,f159]) ).
fof(f179,plain,
! [X0,X1] : mtvisible(c_universalvocabularymt) = ifeq3(genlmt(X0,X1),mtvisible(c_universalvocabularymt),ifeq3(mtvisible(X0),mtvisible(c_universalvocabularymt),mtvisible(X1),mtvisible(c_universalvocabularymt)),mtvisible(c_universalvocabularymt)),
inference(forward_demodulation,[],[f127,f159]) ).
fof(f203,plain,
! [X0] : mtvisible(c_universalvocabularymt) = ifeq3(isa(X0,c_tptpcol_16_31868),mtvisible(c_universalvocabularymt),tptpcol_16_31868(X0),mtvisible(c_universalvocabularymt)),
inference(forward_demodulation,[],[f69,f159]) ).
fof(f221,plain,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = mtvisible(c_universalvocabularymt),
inference(backward_demodulation,[],[f159,f33]) ).
fof(f222,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
inference(forward_demodulation,[],[f31,f33]) ).
fof(f223,plain,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = ifeq3(mtvisible(c_tptp_member2610_mt),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),
inference(forward_demodulation,[],[f29,f33]) ).
fof(f224,plain,
! [X0] : subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = ifeq3(mtvisible(c_tptp_member2610_mt),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),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)),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),
inference(forward_demodulation,[],[f27,f33]) ).
fof(f225,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
inference(backward_demodulation,[],[f33,f25]) ).
fof(f226,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(backward_demodulation,[],[f25,f23]) ).
fof(f227,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(forward_demodulation,[],[f21,f23]) ).
fof(f228,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(backward_demodulation,[],[f23,f19]) ).
fof(f229,plain,
genlmt(c_calendarsvocabularymt,c_basekb) = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(backward_demodulation,[],[f19,f17]) ).
fof(f232,plain,
transitivebinarypredicate(c_genlmt) = genlmt(c_calendarsvocabularymt,c_basekb),
inference(backward_demodulation,[],[f17,f11]) ).
fof(f245,plain,
resultisaarg(c_relationallexistsfn,n_4) = transitivebinarypredicate(c_genlmt),
inference(backward_demodulation,[],[f11,f7]) ).
fof(f246,plain,
! [X2,X3,X0,X1] : resultisaarg(c_relationallexistsfn,n_4) = ifeq3(relationallexists(X0,X1,X2),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(X3,X1),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(X3,X0,X1,X2),X2),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(forward_demodulation,[],[f5,f7]) ).
fof(f248,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(mtvisible(c_universalvocabularymt),mtvisible(c_universalvocabularymt)),a,b),
inference(backward_demodulation,[],[f168,f169]) ).
fof(f249,plain,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = mtvisible(c_tptp_spindlecollectormt),
inference(backward_demodulation,[],[f169,f221]) ).
fof(f250,plain,
! [X0,X1] : subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = ifeq3(resultisaarg(X0,X1),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),function_denotational(X0),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),
inference(backward_demodulation,[],[f170,f221]) ).
fof(f256,plain,
! [X0,X1] : subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = ifeq3(genlmt(X0,X1),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),ifeq3(mtvisible(X0),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),mtvisible(X1),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),
inference(backward_demodulation,[],[f179,f221]) ).
fof(f278,plain,
! [X0] : subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = ifeq3(isa(X0,c_tptpcol_16_31868),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),tptpcol_16_31868(X0),subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)),
inference(backward_demodulation,[],[f203,f221]) ).
fof(f293,plain,
! [X0] : genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = ifeq3(mtvisible(c_tptp_member2610_mt),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),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)),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)),
inference(backward_demodulation,[],[f224,f225]) ).
fof(f294,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = ifeq3(mtvisible(c_tptp_member2610_mt),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)),
inference(backward_demodulation,[],[f223,f225]) ).
fof(f295,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(backward_demodulation,[],[f222,f225]) ).
fof(f296,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = mtvisible(c_universalvocabularymt),
inference(backward_demodulation,[],[f221,f225]) ).
fof(f297,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
inference(backward_demodulation,[],[f225,f226]) ).
fof(f298,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(backward_demodulation,[],[f227,f228]) ).
fof(f299,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(backward_demodulation,[],[f226,f228]) ).
fof(f300,plain,
genlmt(c_calendarsvocabularymt,c_basekb) = genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(backward_demodulation,[],[f228,f229]) ).
fof(f303,plain,
transitivebinarypredicate(c_genlmt) = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(backward_demodulation,[],[f229,f232]) ).
fof(f304,plain,
resultisaarg(c_relationallexistsfn,n_4) = genlmt(c_calendarsvocabularymt,c_basekb),
inference(backward_demodulation,[],[f232,f245]) ).
fof(f318,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)),a,b),
inference(backward_demodulation,[],[f248,f296]) ).
fof(f319,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = mtvisible(c_tptp_spindlecollectormt),
inference(backward_demodulation,[],[f249,f297]) ).
fof(f320,plain,
! [X0,X1] : genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = ifeq3(resultisaarg(X0,X1),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),function_denotational(X0),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)),
inference(backward_demodulation,[],[f250,f297]) ).
fof(f326,plain,
! [X0,X1] : genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = ifeq3(genlmt(X0,X1),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),ifeq3(mtvisible(X0),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),mtvisible(X1),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)),
inference(backward_demodulation,[],[f256,f297]) ).
fof(f348,plain,
! [X0] : genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = ifeq3(isa(X0,c_tptpcol_16_31868),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),tptpcol_16_31868(X0),genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)),
inference(backward_demodulation,[],[f278,f297]) ).
fof(f363,plain,
! [X0] : genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = ifeq3(mtvisible(c_tptp_member2610_mt),genlmt(c_tptp_spindleheadmt,c_cyclistsmt),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),genlmt(c_tptp_spindleheadmt,c_cyclistsmt),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)),genlmt(c_tptp_spindleheadmt,c_cyclistsmt)),genlmt(c_tptp_spindleheadmt,c_cyclistsmt)),
inference(backward_demodulation,[],[f293,f299]) ).
fof(f364,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = ifeq3(mtvisible(c_tptp_member2610_mt),genlmt(c_tptp_spindleheadmt,c_cyclistsmt),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),genlmt(c_tptp_spindleheadmt,c_cyclistsmt)),
inference(backward_demodulation,[],[f294,f299]) ).
fof(f365,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(backward_demodulation,[],[f295,f299]) ).
fof(f368,plain,
resultisaarg(c_relationallexistsfn,n_4) = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(forward_demodulation,[],[f303,f245]) ).
fof(f371,plain,
resultisaarg(c_relationallexistsfn,n_4) = genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(backward_demodulation,[],[f300,f304]) ).
fof(f372,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(genlmt(c_tptp_spindleheadmt,c_cyclistsmt),genlmt(c_tptp_spindleheadmt,c_cyclistsmt)),a,b),
inference(forward_demodulation,[],[f318,f299]) ).
fof(f375,plain,
! [X0] : resultisaarg(c_relationallexistsfn,n_4) = ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(backward_demodulation,[],[f363,f368]) ).
fof(f376,plain,
resultisaarg(c_relationallexistsfn,n_4) = ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)),
inference(backward_demodulation,[],[f364,f368]) ).
fof(f377,plain,
resultisaarg(c_relationallexistsfn,n_4) = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(backward_demodulation,[],[f365,f368]) ).
fof(f379,plain,
resultisaarg(c_relationallexistsfn,n_4) = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(backward_demodulation,[],[f298,f368]) ).
fof(f381,plain,
resultisaarg(c_relationallexistsfn,n_4) = mtvisible(c_tptp_spindlecollectormt),
inference(backward_demodulation,[],[f319,f371]) ).
fof(f382,plain,
! [X0,X1] : resultisaarg(c_relationallexistsfn,n_4) = ifeq3(resultisaarg(X0,X1),resultisaarg(c_relationallexistsfn,n_4),function_denotational(X0),resultisaarg(c_relationallexistsfn,n_4)),
inference(backward_demodulation,[],[f320,f371]) ).
fof(f388,plain,
! [X0,X1] : resultisaarg(c_relationallexistsfn,n_4) = ifeq3(genlmt(X0,X1),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(X0),resultisaarg(c_relationallexistsfn,n_4),mtvisible(X1),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(backward_demodulation,[],[f326,f371]) ).
fof(f410,plain,
! [X0] : resultisaarg(c_relationallexistsfn,n_4) = ifeq3(isa(X0,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X0),resultisaarg(c_relationallexistsfn,n_4)),
inference(backward_demodulation,[],[f348,f371]) ).
fof(f425,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b),
inference(forward_demodulation,[],[f372,f368]) ).
fof(f432,plain,
resultisaarg(c_relationallexistsfn,n_4) = function_denotational(c_relationallexistsfn),
inference(superposition,[],[f1,f382]) ).
fof(f435,plain,
! [X2,X3,X0,X1] : function_denotational(c_relationallexistsfn) = ifeq3(relationallexists(X0,X1,X2),function_denotational(c_relationallexistsfn),ifeq3(isa(X3,X1),function_denotational(c_relationallexistsfn),isa(f_relationallexistsfn(X3,X0,X1,X2),X2),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f246,f432]) ).
fof(f454,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(mtvisible(c_tptp_member2610_mt),function_denotational(c_relationallexistsfn),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),function_denotational(c_relationallexistsfn),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)),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f375,f432]) ).
fof(f455,plain,
function_denotational(c_relationallexistsfn) = ifeq3(mtvisible(c_tptp_member2610_mt),function_denotational(c_relationallexistsfn),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f376,f432]) ).
fof(f456,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = function_denotational(c_relationallexistsfn),
inference(backward_demodulation,[],[f377,f432]) ).
fof(f458,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = function_denotational(c_relationallexistsfn),
inference(backward_demodulation,[],[f379,f432]) ).
fof(f460,plain,
mtvisible(c_tptp_spindlecollectormt) = function_denotational(c_relationallexistsfn),
inference(backward_demodulation,[],[f381,f432]) ).
fof(f467,plain,
! [X0,X1] : function_denotational(c_relationallexistsfn) = ifeq3(genlmt(X0,X1),function_denotational(c_relationallexistsfn),ifeq3(mtvisible(X0),function_denotational(c_relationallexistsfn),mtvisible(X1),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f388,f432]) ).
fof(f489,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(isa(X0,c_tptpcol_16_31868),function_denotational(c_relationallexistsfn),tptpcol_16_31868(X0),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f410,f432]) ).
fof(f504,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn)),a,b),
inference(backward_demodulation,[],[f425,f432]) ).
fof(f696,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),ifeq3(mtvisible(c_tptp_spindlecollectormt),function_denotational(c_relationallexistsfn),mtvisible(c_tptp_member2610_mt),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(superposition,[],[f467,f458]) ).
fof(f716,plain,
function_denotational(c_relationallexistsfn) = ifeq3(mtvisible(c_tptp_spindlecollectormt),function_denotational(c_relationallexistsfn),mtvisible(c_tptp_member2610_mt),function_denotational(c_relationallexistsfn)),
inference(forward_demodulation,[],[f696,f1]) ).
fof(f730,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),mtvisible(c_tptp_member2610_mt),function_denotational(c_relationallexistsfn)),
inference(forward_demodulation,[],[f716,f460]) ).
fof(f736,plain,
mtvisible(c_tptp_member2610_mt) = function_denotational(c_relationallexistsfn),
inference(forward_demodulation,[],[f730,f1]) ).
fof(f741,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),function_denotational(c_relationallexistsfn),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)),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f454,f736]) ).
fof(f742,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),function_denotational(c_relationallexistsfn)),
inference(backward_demodulation,[],[f455,f736]) ).
fof(f744,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = function_denotational(c_relationallexistsfn),
inference(forward_demodulation,[],[f742,f1]) ).
fof(f745,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),function_denotational(c_relationallexistsfn),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)),function_denotational(c_relationallexistsfn)),
inference(forward_demodulation,[],[f741,f1]) ).
fof(f769,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),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)),function_denotational(c_relationallexistsfn)),
inference(superposition,[],[f745,f456]) ).
fof(f770,plain,
function_denotational(c_relationallexistsfn) = 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)),
inference(forward_demodulation,[],[f769,f1]) ).
fof(f919,plain,
b = ifeq2(tuple2(function_denotational(c_relationallexistsfn),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(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn)),a,b),
inference(superposition,[],[f504,f770]) ).
fof(f939,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),function_denotational(c_relationallexistsfn),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),function_denotational(c_relationallexistsfn)),function_denotational(c_relationallexistsfn)),
inference(superposition,[],[f435,f744]) ).
fof(f944,plain,
! [X0] : function_denotational(c_relationallexistsfn) = ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),function_denotational(c_relationallexistsfn),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),function_denotational(c_relationallexistsfn)),
inference(forward_demodulation,[],[f939,f1]) ).
fof(f990,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),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),function_denotational(c_relationallexistsfn)),
inference(superposition,[],[f944,f456]) ).
fof(f992,plain,
function_denotational(c_relationallexistsfn) = 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),
inference(forward_demodulation,[],[f990,f1]) ).
fof(f1089,plain,
function_denotational(c_relationallexistsfn) = ifeq3(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn),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)),function_denotational(c_relationallexistsfn)),
inference(superposition,[],[f489,f992]) ).
fof(f1103,plain,
function_denotational(c_relationallexistsfn) = 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)),
inference(forward_demodulation,[],[f1089,f1]) ).
fof(f1106,plain,
b = ifeq2(tuple2(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn)),tuple2(function_denotational(c_relationallexistsfn),function_denotational(c_relationallexistsfn)),a,b),
inference(backward_demodulation,[],[f919,f1103]) ).
fof(f1107,plain,
a = b,
inference(forward_demodulation,[],[f1106,f2]) ).
fof(f1108,plain,
$false,
inference(forward_subsumption_resolution,[],[f1107,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n016.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 22:12:04 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.97 % (4091393)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.64/0.97 % (4091401)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=767197490:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.64/0.97 % (4091401)First to succeed.
% 0.64/0.97 % (4091401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4091393"
% 0.64/0.97 % (4091400)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3603974679:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.64/0.97 % (4091398)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3447539165:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.64/0.97 % (4091399)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3438583819:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.64/0.97 % (4091403)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2298321927:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.64/0.97 % (4091402)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3066711346:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.64/0.97 % (4091404)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=906152249:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.64/0.97 % (4091402)Refutation not found, incomplete strategy
% 0.64/0.97 % (4091402)------------------------------
% 0.64/0.97 % (4091402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.97 % (4091402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.97 % (4091402)CaDiCaL version: 2.1.3
% 0.64/0.97 % (4091402)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.97 % (4091402)Time elapsed: 0.017 s
% 0.64/0.97 % (4091402)Peak memory usage: 88 MB
% 0.64/0.97 % (4091402)Instructions burned: 28 (million)
% 0.64/0.97 % (4091404)Also succeeded, but the first one will report.
% 0.64/0.97 % (4091403)Also succeeded, but the first one will report.
% 0.64/0.97 % (4091401)Refutation found. Thanks to Tanya!
% 0.64/0.97 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.08 % (4091401)------------------------------
% 2.69/1.08 % (4091401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.08 % (4091401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.08 % (4091401)CaDiCaL version: 2.1.3
% 2.69/1.08 % (4091401)Termination reason: Refutation
% 2.69/1.08 % (4091401)Time elapsed: 0.023 s
% 2.69/1.08 % (4091401)Peak memory usage: 88 MB
% 2.69/1.08 % (4091401)Instructions burned: 74 (million)
% 2.69/1.08 % (4091401)------------------------------
% 2.69/1.08 % (4091401)------------------------------
% 2.69/1.08 % (4091393)Success in time 0.305 s
% 2.69/1.08 % Vampire exiting
%------------------------------------------------------------------------------